%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM635^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:19 AM UTC 2026
% Result : Theorem 1.99s 0.48s
% Output : Refutation 1.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM635^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 12:00:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running higher-order theorem proving
% 0.09/0.14 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.22 % (8074)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.22 % (8085)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.22 % (8085)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.09/0.22 % (8079)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=923911552:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.22 % (8081)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1061415228:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.22 % (8080)lrs+10_16_si=on:nwc=1.5:random_seed=1997229172:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.22 % (8084)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3576987174:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.22 % (8083)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2519189480:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.22 % (8082)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=402859015:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.09/0.22 % (8085)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2363645066:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.22 % (8081)Instruction limit reached!
% 0.09/0.22 % (8081)------------------------------
% 0.09/0.22 % (8081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (8081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (8081)CaDiCaL version: 2.1.3
% 0.09/0.22 % (8081)Termination reason: Instruction limit
% 0.09/0.22 % (8081)Termination phase: Property scanning
% 0.09/0.22 % (8081)Time elapsed: 0.003 s
% 0.09/0.22 % (8081)Peak memory usage: 10 MB
% 0.09/0.22 % (8081)Instructions burned: 15 (million)
% 0.09/0.22 % (8080)Instruction limit reached!
% 0.09/0.22 % (8080)------------------------------
% 0.09/0.22 % (8080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (8080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (8080)CaDiCaL version: 2.1.3
% 0.09/0.22 % (8080)Termination reason: Instruction limit
% 0.09/0.22 % (8080)Termination phase: Property scanning
% 0.09/0.22 % (8080)Time elapsed: 0.005 s
% 0.09/0.22 % (8080)Peak memory usage: 10 MB
% 0.09/0.22 % (8080)Instructions burned: 20 (million)
% 0.09/0.22 % (8083)Instruction limit reached!
% 0.09/0.22 % (8083)------------------------------
% 0.09/0.22 % (8083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (8083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (8083)CaDiCaL version: 2.1.3
% 0.09/0.22 % (8083)Termination reason: Instruction limit
% 0.09/0.22 % (8083)Termination phase: Preprocessing 3
% 0.09/0.22 % (8083)Time elapsed: 0.006 s
% 0.09/0.22 % (8083)Peak memory usage: 10 MB
% 0.09/0.22 % (8083)Instructions burned: 24 (million)
% 0.09/0.22 % (8095)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.22 % (8093)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=241058262:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.22 % (8094)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2433730448:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.09/0.22 % (8095)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1281903000:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.09/0.22 % (8094)Instruction limit reached!
% 0.09/0.22 % (8094)------------------------------
% 0.09/0.22 % (8094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (8094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8094)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8094)Termination reason: Instruction limit
% 0.48/0.24 % (8094)Termination phase: shuffling
% 0.48/0.24 % (8094)Time elapsed: 0.001 s
% 0.48/0.24 % (8094)Peak memory usage: 10 MB
% 0.48/0.24 % (8094)Instructions burned: 5 (million)
% 0.48/0.24 % (8084)Instruction limit reached!
% 0.48/0.24 % (8084)------------------------------
% 0.48/0.24 % (8084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.24 % (8084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8084)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8084)Termination reason: Instruction limit
% 0.48/0.24 % (8084)Termination phase: Function definition elimination
% 0.48/0.24 % (8084)Time elapsed: 0.017 s
% 0.48/0.24 % (8084)Peak memory usage: 11 MB
% 0.48/0.24 % (8084)Instructions burned: 78 (million)
% 0.48/0.24 % (8093)Instruction limit reached!
% 0.48/0.24 % (8093)------------------------------
% 0.48/0.24 % (8093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.24 % (8093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8093)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8093)Termination reason: Instruction limit
% 0.48/0.24 % (8093)Termination phase: shuffling
% 0.48/0.24 % (8093)Time elapsed: 0.003 s
% 0.48/0.24 % (8093)Peak memory usage: 10 MB
% 0.48/0.24 % (8093)Instructions burned: 12 (million)
% 0.48/0.24 % (8079)Instruction limit reached!
% 0.48/0.24 % (8079)------------------------------
% 0.48/0.24 % (8079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.24 % (8095)Instruction limit reached!
% 0.48/0.24 % (8095)------------------------------
% 0.48/0.24 % (8095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.24 % (8095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8095)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8095)Termination reason: Instruction limit
% 0.48/0.24 % (8095)Termination phase: shuffling
% 0.48/0.24 % (8079)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8095)Time elapsed: 0.003 s
% 0.48/0.24 % (8079)Termination reason: Instruction limit
% 0.48/0.24 % (8079)Termination phase: Property scanning
% 0.48/0.24 % (8095)Peak memory usage: 9 MB
% 0.48/0.24 % (8079)Time elapsed: 0.020 s
% 0.48/0.24 % (8095)Instructions burned: 13 (million)
% 0.48/0.24 % (8079)Peak memory usage: 11 MB
% 0.48/0.24 % (8079)Instructions burned: 89 (million)
% 0.48/0.24 % (8100)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.48/0.24 % (8100)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.24 % (8099)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2047101447:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.48/0.24 % (8100)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1401685882:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.48/0.24 % (8101)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=310381020:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.48/0.24 % (8103)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.48/0.24 % (8102)lrs+10_1_si=on:cs=on:random_seed=1353772328:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.48/0.24 % (8103)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=564970621:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.24 % (8099)Instruction limit reached!
% 0.48/0.24 % (8099)------------------------------
% 0.48/0.24 % (8099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.24 % (8099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.24 % (8099)CaDiCaL version: 2.1.3
% 0.48/0.24 % (8099)Termination reason: Instruction limit
% 0.48/0.24 % (8099)Termination phase: Property scanning
% 0.48/0.24 % (8099)Time elapsed: 0.003 s
% 0.48/0.24 % (8099)Peak memory usage: 10 MB
% 0.48/0.26 % (8099)Instructions burned: 14 (million)
% 0.48/0.26 % (8102)Instruction limit reached!
% 0.48/0.26 % (8102)------------------------------
% 0.48/0.26 % (8102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8102)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8102)Termination reason: Instruction limit
% 0.48/0.26 % (8102)Termination phase: shuffling
% 0.48/0.26 % (8102)Time elapsed: 0.003 s
% 0.48/0.26 % (8102)Peak memory usage: 10 MB
% 0.48/0.26 % (8102)Instructions burned: 12 (million)
% 0.48/0.26 % (8103)Instruction limit reached!
% 0.48/0.26 % (8103)------------------------------
% 0.48/0.26 % (8103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8085)Instruction limit reached!
% 0.48/0.26 % (8085)------------------------------
% 0.48/0.26 % (8085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8103)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8103)Termination reason: Instruction limit
% 0.48/0.26 % (8103)Termination phase: shuffling
% 0.48/0.26 % (8103)Time elapsed: 0.003 s
% 0.48/0.26 % (8103)Peak memory usage: 9 MB
% 0.48/0.26 % (8085)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8103)Instructions burned: 14 (million)
% 0.48/0.26 % (8085)Termination reason: Instruction limit
% 0.48/0.26 % (8085)Termination phase: Property scanning
% 0.48/0.26 % (8085)Time elapsed: 0.033 s
% 0.48/0.26 % (8085)Peak memory usage: 11 MB
% 0.48/0.26 % (8085)Instructions burned: 158 (million)
% 0.48/0.26 % (8100)Instruction limit reached!
% 0.48/0.26 % (8100)------------------------------
% 0.48/0.26 % (8100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8100)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8100)Termination reason: Instruction limit
% 0.48/0.26 % (8100)Termination phase: Property scanning
% 0.48/0.26 % (8100)Time elapsed: 0.007 s
% 0.48/0.26 % (8100)Peak memory usage: 10 MB
% 0.48/0.26 % (8100)Instructions burned: 31 (million)
% 0.48/0.26 % (8109)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2257692558:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.48/0.26 % (8111)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2296481512:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.48/0.26 % (8110)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=833634668:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.48/0.26 % (8112)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3253940804:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.48/0.26 % (8113)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1704384328:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.48/0.26 % (8101)Instruction limit reached!
% 0.48/0.26 % (8101)------------------------------
% 0.48/0.26 % (8101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8101)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8101)Termination reason: Instruction limit
% 0.48/0.26 % (8101)Termination phase: Property scanning
% 0.48/0.26 % (8101)Time elapsed: 0.019 s
% 0.48/0.26 % (8101)Peak memory usage: 11 MB
% 0.48/0.26 % (8101)Instructions burned: 90 (million)
% 0.48/0.26 % (8112)Instruction limit reached!
% 0.48/0.26 % (8112)------------------------------
% 0.48/0.26 % (8112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (8112)CaDiCaL version: 2.1.3
% 0.48/0.26 % (8112)Termination reason: Instruction limit
% 0.48/0.26 % (8112)Termination phase: Property scanning
% 0.48/0.26 % (8112)Time elapsed: 0.004 s
% 0.48/0.26 % (8112)Peak memory usage: 10 MB
% 0.48/0.26 % (8112)Instructions burned: 17 (million)
% 0.48/0.26 % (8111)Instruction limit reached!
% 0.48/0.26 % (8111)------------------------------
% 0.48/0.26 % (8111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (8111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8111)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8111)Termination reason: Instruction limit
% 0.48/0.30 % (8111)Termination phase: Preprocessing 1
% 0.48/0.30 % (8111)Time elapsed: 0.007 s
% 0.48/0.30 % (8111)Peak memory usage: 10 MB
% 0.48/0.30 % (8111)Instructions burned: 28 (million)
% 0.48/0.30 % (8109)Instruction limit reached!
% 0.48/0.30 % (8109)------------------------------
% 0.48/0.30 % (8109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (8109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8109)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8109)Termination reason: Instruction limit
% 0.48/0.30 % (8109)Termination phase: Saturation
% 0.48/0.30 % (8109)Time elapsed: 0.014 s
% 0.48/0.30 % (8109)Peak memory usage: 13 MB
% 0.48/0.30 % (8109)Instructions burned: 50 (million)
% 0.48/0.30 % (8110)Refutation not found, incomplete strategy
% 0.48/0.30 % (8110)------------------------------
% 0.48/0.30 % (8110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (8110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8110)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8119)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=938810065:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.48/0.30 % (8110)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.30 % (8110)Time elapsed: 0.014 s
% 0.48/0.30 % (8110)Peak memory usage: 12 MB
% 0.48/0.30 % (8110)Instructions burned: 31 (million)
% 0.48/0.30 % (8110)------------------------------
% 0.48/0.30 % (8110)------------------------------
% 0.48/0.30 % (8120)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2741949944:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.30 % (8121)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3108309149:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.48/0.30 % (8120)Instruction limit reached!
% 0.48/0.30 % (8120)------------------------------
% 0.48/0.30 % (8120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (8120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8120)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8120)Termination reason: Instruction limit
% 0.48/0.30 % (8120)Termination phase: shuffling
% 0.48/0.30 % (8120)Time elapsed: 0.001 s
% 0.48/0.30 % (8120)Peak memory usage: 10 MB
% 0.48/0.30 % (8120)Instructions burned: 3 (million)
% 0.48/0.30 % (8122)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3580107282:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.48/0.30 % (8121)Instruction limit reached!
% 0.48/0.30 % (8121)------------------------------
% 0.48/0.30 % (8121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (8121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8121)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8121)Termination reason: Instruction limit
% 0.48/0.30 % (8121)Termination phase: Preprocessing 3
% 0.48/0.30 % (8121)Time elapsed: 0.006 s
% 0.48/0.30 % (8121)Peak memory usage: 10 MB
% 0.48/0.30 % (8121)Instructions burned: 27 (million)
% 0.48/0.30 % (8119)Instruction limit reached!
% 0.48/0.30 % (8119)------------------------------
% 0.48/0.30 % (8119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (8119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (8119)CaDiCaL version: 2.1.3
% 0.48/0.30 % (8119)Termination reason: Instruction limit
% 0.48/0.30 % (8119)Termination phase: Property scanning
% 0.48/0.30 % (8119)Time elapsed: 0.011 s
% 0.48/0.30 % (8119)Peak memory usage: 10 MB
% 0.48/0.30 % (8119)Instructions burned: 15 (million)
% 0.48/0.30 % (8127)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.48/0.30 % (8127)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.48/0.30 % (8124)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3788501858:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.48/0.30 % (8122)Instruction limit reached!
% 1.21/0.34 % (8122)------------------------------
% 1.21/0.34 % (8122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8127)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=549173184:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.21/0.34 % (8122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8122)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8122)Termination reason: Instruction limit
% 1.21/0.34 % (8122)Termination phase: Property scanning
% 1.21/0.34 % (8122)Time elapsed: 0.006 s
% 1.21/0.34 % (8122)Peak memory usage: 11 MB
% 1.21/0.34 % (8122)Instructions burned: 26 (million)
% 1.21/0.34 % (8129)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.21/0.34 % (8127)Instruction limit reached!
% 1.21/0.34 % (8127)------------------------------
% 1.21/0.34 % (8127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8127)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8127)Termination reason: Instruction limit
% 1.21/0.34 % (8127)Termination phase: Property scanning
% 1.21/0.34 % (8127)Time elapsed: 0.003 s
% 1.21/0.34 % (8127)Peak memory usage: 10 MB
% 1.21/0.34 % (8127)Instructions burned: 15 (million)
% 1.21/0.34 % (8129)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2167460610:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.21/0.34 % (8130)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1509092273:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 1.21/0.34 % (8129)Instruction limit reached!
% 1.21/0.34 % (8129)------------------------------
% 1.21/0.34 % (8129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8129)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8129)Termination reason: Instruction limit
% 1.21/0.34 % (8129)Termination phase: shuffling
% 1.21/0.34 % (8129)Time elapsed: 0.003 s
% 1.21/0.34 % (8129)Peak memory usage: 10 MB
% 1.21/0.34 % (8129)Instructions burned: 12 (million)
% 1.21/0.34 % (8133)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=620349791:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.21/0.34 % (8133)Instruction limit reached!
% 1.21/0.34 % (8133)------------------------------
% 1.21/0.34 % (8133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8133)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8133)Termination reason: Instruction limit
% 1.21/0.34 % (8133)Termination phase: shuffling
% 1.21/0.34 % (8133)Time elapsed: 0.002 s
% 1.21/0.34 % (8133)Peak memory usage: 10 MB
% 1.21/0.34 % (8133)Instructions burned: 10 (million)
% 1.21/0.34 % (8134)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=989627030:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.21/0.34 % (8130)Instruction limit reached!
% 1.21/0.34 % (8130)------------------------------
% 1.21/0.34 % (8130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8130)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8130)Termination reason: Instruction limit
% 1.21/0.34 % (8130)Termination phase: Property scanning
% 1.21/0.34 % (8130)Time elapsed: 0.007 s
% 1.21/0.34 % (8130)Peak memory usage: 10 MB
% 1.21/0.34 % (8130)Instructions burned: 31 (million)
% 1.21/0.34 % (8124)Instruction limit reached!
% 1.21/0.34 % (8124)------------------------------
% 1.21/0.34 % (8124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.34 % (8124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.34 % (8124)CaDiCaL version: 2.1.3
% 1.21/0.34 % (8124)Termination reason: Instruction limit
% 1.21/0.34 % (8124)Termination phase: Saturation
% 1.21/0.34 % (8124)Time elapsed: 0.016 s
% 1.21/0.34 % (8124)Peak memory usage: 13 MB
% 1.21/0.34 % (8124)Instructions burned: 63 (million)
% 1.21/0.34 % (8137)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3684785658:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.21/0.38 % (8134)Instruction limit reached!
% 1.21/0.38 % (8134)------------------------------
% 1.21/0.38 % (8134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.38 % (8134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.38 % (8134)CaDiCaL version: 2.1.3
% 1.21/0.38 % (8134)Termination reason: Instruction limit
% 1.21/0.38 % (8134)Termination phase: Property scanning
% 1.21/0.38 % (8134)Time elapsed: 0.006 s
% 1.21/0.38 % (8134)Peak memory usage: 10 MB
% 1.21/0.38 % (8134)Instructions burned: 26 (million)
% 1.21/0.38 % (8139)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3627652260:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.21/0.38 % (8137)Instruction limit reached!
% 1.21/0.38 % (8137)------------------------------
% 1.21/0.38 % (8137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.38 % (8137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.38 % (8137)CaDiCaL version: 2.1.3
% 1.21/0.38 % (8137)Termination reason: Instruction limit
% 1.21/0.38 % (8137)Termination phase: SInE selection
% 1.21/0.38 % (8137)Time elapsed: 0.005 s
% 1.21/0.38 % (8137)Peak memory usage: 10 MB
% 1.21/0.38 % (8137)Instructions burned: 23 (million)
% 1.21/0.38 % (8141)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3216394309:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.21/0.38 % (8142)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=612349994:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.21/0.38 % (8144)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2940259919:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.21/0.38 % (8146)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.21/0.38 % (8146)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2907610063:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.21/0.38 % (8146)Instruction limit reached!
% 1.21/0.38 % (8146)------------------------------
% 1.21/0.38 % (8146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.38 % (8146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.38 % (8146)CaDiCaL version: 2.1.3
% 1.21/0.38 % (8146)Termination reason: Instruction limit
% 1.21/0.38 % (8146)Termination phase: shuffling
% 1.21/0.38 % (8146)Time elapsed: 0.002 s
% 1.21/0.38 % (8146)Peak memory usage: 10 MB
% 1.21/0.38 % (8146)Instructions burned: 11 (million)
% 1.21/0.38 % (8144)Instruction limit reached!
% 1.21/0.38 % (8144)------------------------------
% 1.21/0.38 % (8144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.38 % (8144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.38 % (8144)CaDiCaL version: 2.1.3
% 1.21/0.38 % (8144)Termination reason: Instruction limit
% 1.21/0.38 % (8144)Termination phase: Function definition elimination
% 1.21/0.38 % (8144)Time elapsed: 0.010 s
% 1.21/0.38 % (8144)Peak memory usage: 11 MB
% 1.21/0.38 % (8144)Instructions burned: 44 (million)
% 1.21/0.38 % (8151)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=534780105:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.21/0.38 % (8152)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1326031794:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.21/0.38 % (8113)Instruction limit reached!
% 1.21/0.38 % (8113)------------------------------
% 1.21/0.38 % (8113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.38 % (8113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.38 % (8113)CaDiCaL version: 2.1.3
% 1.21/0.38 % (8113)Termination reason: Instruction limit
% 1.21/0.38 % (8113)Termination phase: Saturation
% 1.21/0.38 % (8113)Time elapsed: 0.083 s
% 1.21/0.38 % (8113)Peak memory usage: 13 MB
% 1.21/0.38 % (8113)Instructions burned: 328 (million)
% 1.21/0.38 % (8141)Instruction limit reached!
% 1.21/0.41 % (8141)------------------------------
% 1.21/0.41 % (8141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8141)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8141)Termination reason: Instruction limit
% 1.21/0.41 % (8141)Termination phase: Property scanning
% 1.21/0.41 % (8141)Time elapsed: 0.030 s
% 1.21/0.41 % (8141)Peak memory usage: 11 MB
% 1.21/0.41 % (8141)Instructions burned: 146 (million)
% 1.21/0.41 % (8155)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.21/0.41 % (8155)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3769506052:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.21/0.41 % (8156)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=63681245:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.21/0.41 % (8155)Instruction limit reached!
% 1.21/0.41 % (8155)------------------------------
% 1.21/0.41 % (8155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8155)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8155)Termination reason: Instruction limit
% 1.21/0.41 % (8155)Termination phase: shuffling
% 1.21/0.41 % (8155)Time elapsed: 0.002 s
% 1.21/0.41 % (8155)Peak memory usage: 10 MB
% 1.21/0.41 % (8155)Instructions burned: 10 (million)
% 1.21/0.41 % (8156)Instruction limit reached!
% 1.21/0.41 % (8156)------------------------------
% 1.21/0.41 % (8156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8156)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8156)Termination reason: Instruction limit
% 1.21/0.41 % (8156)Termination phase: Function definition elimination
% 1.21/0.41 % (8156)Time elapsed: 0.008 s
% 1.21/0.41 % (8156)Peak memory usage: 11 MB
% 1.21/0.41 % (8156)Instructions burned: 35 (million)
% 1.21/0.41 % (8142)Instruction limit reached!
% 1.21/0.41 % (8142)------------------------------
% 1.21/0.41 % (8142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8142)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8142)Termination reason: Instruction limit
% 1.21/0.41 % (8142)Termination phase: Saturation
% 1.21/0.41 % (8142)Time elapsed: 0.050 s
% 1.21/0.41 % (8142)Peak memory usage: 14 MB
% 1.21/0.41 % (8142)Instructions burned: 197 (million)
% 1.21/0.41 % (8159)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2361101368:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.21/0.41 % (8159)Instruction limit reached!
% 1.21/0.41 % (8159)------------------------------
% 1.21/0.41 % (8159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8159)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8159)Termination reason: Instruction limit
% 1.21/0.41 % (8159)Termination phase: Property scanning
% 1.21/0.41 % (8159)Time elapsed: 0.005 s
% 1.21/0.41 % (8159)Peak memory usage: 10 MB
% 1.21/0.41 % (8159)Instructions burned: 22 (million)
% 1.21/0.41 % (8161)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=646100134:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.21/0.41 % (8162)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=379582282:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.21/0.41 % (8152)Instruction limit reached!
% 1.21/0.41 % (8152)------------------------------
% 1.21/0.41 % (8152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.41 % (8152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.41 % (8152)CaDiCaL version: 2.1.3
% 1.21/0.41 % (8152)Termination reason: Instruction limit
% 1.21/0.41 % (8152)Termination phase: Saturation
% 1.21/0.41 % (8152)Time elapsed: 0.043 s
% 1.99/0.46 % (8152)Peak memory usage: 13 MB
% 1.99/0.46 % (8152)Instructions burned: 170 (million)
% 1.99/0.46 % (8163)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1682827710:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.99/0.46 % (8166)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4263294437:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.99/0.46 % (8163)Instruction limit reached!
% 1.99/0.46 % (8163)------------------------------
% 1.99/0.46 % (8163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.46 % (8163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.46 % (8163)CaDiCaL version: 2.1.3
% 1.99/0.46 % (8163)Termination reason: Instruction limit
% 1.99/0.46 % (8163)Termination phase: Function definition elimination
% 1.99/0.46 % (8163)Time elapsed: 0.011 s
% 1.99/0.46 % (8163)Peak memory usage: 11 MB
% 1.99/0.46 % (8163)Instructions burned: 48 (million)
% 1.99/0.46 % (8169)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3635588089:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.99/0.46 % (8082)Instruction limit reached!
% 1.99/0.46 % (8082)------------------------------
% 1.99/0.46 % (8082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.46 % (8082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.46 % (8082)CaDiCaL version: 2.1.3
% 1.99/0.46 % (8082)Termination reason: Instruction limit
% 1.99/0.46 % (8082)Termination phase: Saturation
% 1.99/0.46 % (8082)Time elapsed: 0.191 s
% 1.99/0.46 % (8082)Peak memory usage: 17 MB
% 1.99/0.46 % (8082)Instructions burned: 635 (million)
% 1.99/0.46 % (8151)Instruction limit reached!
% 1.99/0.46 % (8151)------------------------------
% 1.99/0.46 % (8151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.46 % (8151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.46 % (8151)CaDiCaL version: 2.1.3
% 1.99/0.46 % (8151)Termination reason: Instruction limit
% 1.99/0.46 % (8151)Termination phase: Saturation
% 1.99/0.46 % (8151)Time elapsed: 0.070 s
% 1.99/0.46 % (8151)Peak memory usage: 14 MB
% 1.99/0.46 % (8151)Instructions burned: 181 (million)
% 1.99/0.46 % (8166)Refutation not found, incomplete strategy
% 1.99/0.46 % (8166)------------------------------
% 1.99/0.46 % (8166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.46 % (8166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.46 % (8166)CaDiCaL version: 2.1.3
% 1.99/0.46 % (8166)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.46 % (8166)Time elapsed: 0.014 s
% 1.99/0.46 % (8166)Peak memory usage: 13 MB
% 1.99/0.46 % (8166)Instructions burned: 54 (million)
% 1.99/0.46 % (8166)------------------------------
% 1.99/0.46 % (8166)------------------------------
% 1.99/0.46 % (8169)Instruction limit reached!
% 1.99/0.46 % (8169)------------------------------
% 1.99/0.46 % (8169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.46 % (8169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.46 % (8169)CaDiCaL version: 2.1.3
% 1.99/0.46 % (8169)Termination reason: Instruction limit
% 1.99/0.46 % (8169)Termination phase: Property scanning
% 1.99/0.46 % (8169)Time elapsed: 0.005 s
% 1.99/0.46 % (8169)Peak memory usage: 10 MB
% 1.99/0.46 % (8169)Instructions burned: 22 (million)
% 1.99/0.46 % (8171)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.99/0.46 % (8172)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1552306059:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.99/0.46 % (8171)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2021161708:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.99/0.46 % (8173)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=123581916:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.99/0.46 % (8172)Instruction limit reached!
% 1.99/0.46 % (8172)------------------------------
% 1.99/0.46 % (8172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8174)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=352266151:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.99/0.48 % (8172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8172)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8172)Termination reason: Instruction limit
% 1.99/0.48 % (8172)Termination phase: Property scanning
% 1.99/0.48 % (8172)Time elapsed: 0.004 s
% 1.99/0.48 % (8172)Peak memory usage: 10 MB
% 1.99/0.48 % (8172)Instructions burned: 15 (million)
% 1.99/0.48 % (8179)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2680993601:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.99/0.48 % (8173)Instruction limit reached!
% 1.99/0.48 % (8173)------------------------------
% 1.99/0.48 % (8173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8173)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8173)Termination reason: Instruction limit
% 1.99/0.48 % (8173)Termination phase: Function definition elimination
% 1.99/0.48 % (8173)Time elapsed: 0.015 s
% 1.99/0.48 % (8173)Peak memory usage: 11 MB
% 1.99/0.48 % (8173)Instructions burned: 68 (million)
% 1.99/0.48 % (8174)Instruction limit reached!
% 1.99/0.48 % (8174)------------------------------
% 1.99/0.48 % (8174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8174)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8174)Termination reason: Instruction limit
% 1.99/0.48 % (8174)Termination phase: Function definition elimination
% 1.99/0.48 % (8174)Time elapsed: 0.012 s
% 1.99/0.48 % (8174)Peak memory usage: 11 MB
% 1.99/0.48 % (8174)Instructions burned: 53 (million)
% 1.99/0.48 % (8179)Instruction limit reached!
% 1.99/0.48 % (8179)------------------------------
% 1.99/0.48 % (8179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8179)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8179)Termination reason: Instruction limit
% 1.99/0.48 % (8179)Termination phase: Property scanning
% 1.99/0.48 % (8179)Time elapsed: 0.007 s
% 1.99/0.48 % (8179)Peak memory usage: 10 MB
% 1.99/0.48 % (8179)Instructions burned: 32 (million)
% 1.99/0.48 % (8181)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4163912677:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.99/0.48 % (8182)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1432772238:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.99/0.48 % (8161)Instruction limit reached!
% 1.99/0.48 % (8161)------------------------------
% 1.99/0.48 % (8161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8161)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8161)Termination reason: Instruction limit
% 1.99/0.48 % (8161)Termination phase: Saturation
% 1.99/0.48 % (8161)Time elapsed: 0.067 s
% 1.99/0.48 % (8161)Peak memory usage: 12 MB
% 1.99/0.48 % (8161)Instructions burned: 316 (million)
% 1.99/0.48 % (8183)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=709532820:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 1.99/0.48 % (8182)Instruction limit reached!
% 1.99/0.48 % (8182)------------------------------
% 1.99/0.48 % (8182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8182)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8182)Termination reason: Instruction limit
% 1.99/0.48 % (8182)Termination phase: Property scanning
% 1.99/0.48 % (8182)Time elapsed: 0.008 s
% 1.99/0.48 % (8182)Peak memory usage: 10 MB
% 1.99/0.48 % (8182)Instructions burned: 34 (million)
% 1.99/0.48 % (8186)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.99/0.48 % (8186)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=558055256:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 1.99/0.48 % (8171)Instruction limit reached!
% 1.99/0.48 % (8171)------------------------------
% 1.99/0.48 % (8171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8171)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8171)Termination reason: Instruction limit
% 1.99/0.48 % (8171)Termination phase: Property scanning
% 1.99/0.48 % (8171)Time elapsed: 0.042 s
% 1.99/0.48 % (8171)Peak memory usage: 11 MB
% 1.99/0.48 % (8171)Instructions burned: 204 (million)
% 1.99/0.48 % (8183)Instruction limit reached!
% 1.99/0.48 % (8183)------------------------------
% 1.99/0.48 % (8183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8183)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8183)Termination reason: Instruction limit
% 1.99/0.48 % (8183)Termination phase: Function definition elimination
% 1.99/0.48 % (8183)Time elapsed: 0.015 s
% 1.99/0.48 % (8183)Peak memory usage: 11 MB
% 1.99/0.48 % (8183)Instructions burned: 70 (million)
% 1.99/0.48 % (8188)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2594853445:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.99/0.48 % (8190)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1185397367:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 1.99/0.48 % (8191)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3963455144:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.99/0.48 % (8181)Instruction limit reached!
% 1.99/0.48 % (8181)------------------------------
% 1.99/0.48 % (8181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8181)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8181)Termination reason: Instruction limit
% 1.99/0.48 % (8181)Termination phase: Saturation
% 1.99/0.48 % (8181)Time elapsed: 0.039 s
% 1.99/0.48 % (8181)Peak memory usage: 13 MB
% 1.99/0.48 % (8181)Instructions burned: 137 (million)
% 1.99/0.48 % (8191)Refutation not found, incomplete strategy
% 1.99/0.48 % (8191)------------------------------
% 1.99/0.48 % (8191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8191)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8191)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.48 % (8191)Time elapsed: 0.007 s
% 1.99/0.48 % (8191)Peak memory usage: 12 MB
% 1.99/0.48 % (8191)Instructions burned: 29 (million)
% 1.99/0.48 % (8191)------------------------------
% 1.99/0.48 % (8191)------------------------------
% 1.99/0.48 % (8190)Instruction limit reached!
% 1.99/0.48 % (8190)------------------------------
% 1.99/0.48 % (8190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8190)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8190)Termination reason: Instruction limit
% 1.99/0.48 % (8190)Termination phase: Property scanning
% 1.99/0.48 % (8190)Time elapsed: 0.022 s
% 1.99/0.48 % (8190)Peak memory usage: 11 MB
% 1.99/0.48 % (8190)Instructions burned: 101 (million)
% 1.99/0.48 % (8195)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4077901171:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.99/0.48 % (8186)Instruction limit reached!
% 1.99/0.48 % (8186)------------------------------
% 1.99/0.48 % (8186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8186)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8186)Termination reason: Instruction limit
% 1.99/0.48 % (8186)Termination phase: Property scanning
% 1.99/0.48 % (8186)Time elapsed: 0.038 s
% 1.99/0.48 % (8186)Peak memory usage: 10 MB
% 1.99/0.48 % (8186)Instructions burned: 184 (million)
% 1.99/0.48 % (8196)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1060514022:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 1.99/0.48 % (8198)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=28165850:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 1.99/0.48 % (8200)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2853196704:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 1.99/0.48 % (8200)Instruction limit reached!
% 1.99/0.48 % (8200)------------------------------
% 1.99/0.48 % (8200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8200)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8200)Termination reason: Instruction limit
% 1.99/0.48 % (8200)Termination phase: Function definition elimination
% 1.99/0.48 % (8200)Time elapsed: 0.011 s
% 1.99/0.48 % (8200)Peak memory usage: 10 MB
% 1.99/0.48 % (8200)Instructions burned: 49 (million)
% 1.99/0.48 % (8188) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-8074-8188"...
% 1.99/0.48 % (8203)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2226042172:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 1.99/0.48 % (8188)...printing done.
% 1.99/0.48 % (8188)Refutation found. Thanks to Tanya!
% 1.99/0.48 % SZS status Theorem for theBenchmark
% 1.99/0.48 % SZS output start Proof for theBenchmark
% 1.99/0.48 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.99/0.48 thf(func_def_0, type, is_of: ($i > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_2, type, all_of: (($i > $o) > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_3, type, eps: (($i > $o) > $i)).
% 1.99/0.48 thf(func_def_4, type, in: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_5, type, d_Subq: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_7, type, union: ($i > $i)).
% 1.99/0.48 thf(func_def_8, type, power: ($i > $i)).
% 1.99/0.48 thf(func_def_9, type, repl: ($i > ($i > $i) > $i)).
% 1.99/0.48 thf(func_def_10, type, d_Union_closed: ($i > $o)).
% 1.99/0.48 thf(func_def_11, type, d_Power_closed: ($i > $o)).
% 1.99/0.48 thf(func_def_12, type, d_Repl_closed: ($i > $o)).
% 1.99/0.48 thf(func_def_13, type, d_ZF_closed: ($i > $o)).
% 1.99/0.48 thf(func_def_14, type, univof: ($i > $i)).
% 1.99/0.48 thf(func_def_15, type, if: ($o > $i > $i > $i)).
% 1.99/0.48 thf(func_def_16, type, nIn: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_17, type, d_UPair: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_18, type, d_Sing: ($i > $i)).
% 1.99/0.48 thf(func_def_19, type, binunion: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_20, type, famunion: ($i > ($i > $i) > $i)).
% 1.99/0.48 thf(func_def_21, type, d_Sep: ($i > ($i > $o) > $i)).
% 1.99/0.48 thf(func_def_22, type, d_ReplSep: ($i > ($i > $o) > ($i > $i) > $i)).
% 1.99/0.48 thf(func_def_23, type, setminus: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_24, type, d_In_rec_G: (($i > ($i > $i) > $i) > $i > $i > $o)).
% 1.99/0.48 thf(func_def_25, type, d_In_rec: (($i > ($i > $i) > $i) > $i > $i)).
% 1.99/0.48 thf(func_def_26, type, ordsucc: ($i > $i)).
% 1.99/0.48 thf(func_def_27, type, nat_p: ($i > $o)).
% 1.99/0.48 thf(func_def_29, type, d_Inj1: ($i > $i)).
% 1.99/0.48 thf(func_def_30, type, d_Inj0: ($i > $i)).
% 1.99/0.48 thf(func_def_31, type, d_Unj: ($i > $i)).
% 1.99/0.48 thf(func_def_32, type, pair: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_33, type, proj0: ($i > $i)).
% 1.99/0.48 thf(func_def_34, type, proj1: ($i > $i)).
% 1.99/0.48 thf(func_def_35, type, d_Sigma: ($i > ($i > $i) > $i)).
% 1.99/0.48 thf(func_def_36, type, setprod: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_37, type, ap: ($i > $i > $i)).
% 1.99/0.48 thf(func_def_38, type, pair_p: ($i > $o)).
% 1.99/0.48 thf(func_def_39, type, d_Pi: ($i > ($i > $i) > $i)).
% 1.99/0.48 thf(func_def_40, type, imp: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_41, type, d_not: ($o > $o)).
% 1.99/0.48 thf(func_def_42, type, wel: ($o > $o)).
% 1.99/0.48 thf(func_def_43, type, obvious: $o).
% 1.99/0.48 thf(func_def_44, type, l_ec: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_45, type, d_and: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_46, type, l_or: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_47, type, orec: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_48, type, l_iff: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_49, type, all: ($i > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_50, type, non: ($i > ($i > $o) > $i > $o)).
% 1.99/0.48 thf(func_def_51, type, l_some: ($i > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_52, type, or3: ($o > $o > $o > $o)).
% 1.99/0.48 thf(func_def_53, type, and3: ($o > $o > $o > $o)).
% 1.99/0.48 thf(func_def_54, type, ec3: ($o > $o > $o > $o)).
% 1.99/0.48 thf(func_def_55, type, orec3: ($o > $o > $o > $o)).
% 1.99/0.48 thf(func_def_56, type, e_is: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_57, type, amone: ($i > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_58, type, one: ($i > ($i > $o) > $o)).
% 1.99/0.48 thf(func_def_59, type, ind: ($i > ($i > $o) > $i)).
% 1.99/0.48 thf(func_def_60, type, injective: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_61, type, image: ($i > $i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_62, type, tofs: ($i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_63, type, soft: ($i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_64, type, inverse: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_65, type, surjective: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_66, type, bijective: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_67, type, invf: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_68, type, inj_h: ($i > $i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_69, type, e_in: ($i > ($i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_70, type, out: ($i > ($i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_71, type, d_pair: ($i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_72, type, first: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_73, type, second: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_74, type, prop1: ($o > $i > $i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_75, type, ite: ($o > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_76, type, wissel_wa: ($i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_77, type, wissel_wb: ($i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_78, type, wissel: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_79, type, changef: ($i > $i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_80, type, r_ec: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_81, type, esti: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_82, type, empty: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_83, type, nonempty: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_84, type, incl: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_85, type, st_disj: ($i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_86, type, nissetprop: ($i > $i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_87, type, unmore: ($i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_88, type, ecelt: ($i > ($i > $i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_89, type, ecp: ($i > ($i > $i > $o) > $i > $i > $o)).
% 1.99/0.48 thf(func_def_90, type, anec: ($i > ($i > $i > $o) > $i > $o)).
% 1.99/0.48 thf(func_def_91, type, ect: ($i > ($i > $i > $o) > $i)).
% 1.99/0.48 thf(func_def_92, type, ectset: ($i > ($i > $i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_93, type, ectelt: ($i > ($i > $i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_94, type, ecect: ($i > ($i > $i > $o) > $i > $i)).
% 1.99/0.48 thf(func_def_95, type, fixfu: ($i > ($i > $i > $o) > $i > $i > $o)).
% 1.99/0.48 thf(func_def_96, type, d_10_prop1: ($i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_97, type, prop2: ($i > ($i > $i > $o) > $i > $i > $i > $i > $o)).
% 1.99/0.48 thf(func_def_98, type, indeq: ($i > ($i > $i > $o) > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_99, type, fixfu2: ($i > ($i > $i > $o) > $i > $i > $o)).
% 1.99/0.48 thf(func_def_100, type, d_11_i: ($i > ($i > $i > $o) > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_101, type, indeq2: ($i > ($i > $i > $o) > $i > $i > $i > $i > $i)).
% 1.99/0.48 thf(func_def_103, type, n_is: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_104, type, nis: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_105, type, n_in: ($i > $i > $o)).
% 1.99/0.48 thf(func_def_106, type, n_some: (($i > $o) > $o)).
% 1.99/0.48 thf(func_def_107, type, n_all: (($i > $o) > $o)).
% 1.99/0.48 thf(func_def_108, type, n_one: (($i > $o) > $o)).
% 1.99/0.48 thf(func_def_110, type, cond1: ($i > $o)).
% 1.99/0.48 thf(func_def_111, type, cond2: ($i > $o)).
% 1.99/0.48 thf(func_def_112, type, i1_s: (($i > $o) > $i)).
% 1.99/0.48 thf(func_def_115, type, db2: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_116, type, db1: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_117, type, db0: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_118, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.99/0.48 thf(func_def_119, type, vIMP: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_120, type, db3: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_121, type, db4: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_122, type, db5: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_123, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.99/0.48 thf(func_def_124, type, vNOT: ($o > $o)).
% 1.99/0.48 thf(func_def_125, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.99/0.48 thf(func_def_126, type, vOR: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_127, type, vAND: ($o > $o > $o)).
% 1.99/0.48 thf(func_def_128, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.99/0.48 thf(func_def_129, type, db6: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_130, type, db7: !>[X0: $tType]:(X0)).
% 1.99/0.48 thf(func_def_131, type, sK0: (($i > $o) > $i)).
% 1.99/0.48 thf(f1,axiom,(
% 1.99/0.48 (is_of = (^[X0 : $i, X1 : ($i > $o)] : ((X1 @ X0))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of)).
% 1.99/0.48 thf(f2,axiom,(
% 1.99/0.48 (all_of = (^[X0 : ($i > $o), X1 : ($i > $o)] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of)).
% 1.99/0.48 thf(f92,axiom,(
% 1.99/0.48 ! [X0 : $i] : (all_of @ (^[X1 : $i] : ((in @ X1 @ X0))) @ (^[X1 : $i] : ((e_is @ X0 @ X1 @ X1))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',refis)).
% 1.99/0.48 thf(f93,axiom,(
% 1.99/0.48 ! [X1 : ($i > $o),X0 : $i] : (all_of @ (^[X2 : $i] : ((in @ X2 @ X0))) @ (^[X2 : $i] : ((all_of @ (^[X3 : $i] : ((in @ X3 @ X0))) @ (^[X3 : $i] : ((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3))))))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',e_isp)).
% 1.99/0.48 thf(f157,axiom,(
% 1.99/0.48 (n_is = ((e_is @ nat)))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is)).
% 1.99/0.48 thf(f158,axiom,(
% 1.99/0.48 ((^[X0 : $i, X1 : $i] : ((d_not @ (n_is @ X0 @ X1)))) = nis)),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_nis)).
% 1.99/0.48 thf(f164,axiom,(
% 1.99/0.48 (is_of @ n_1 @ (^[X0 : $i] : ((in @ X0 @ nat))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',n_1_p)).
% 1.99/0.48 thf(f165,axiom,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X0 : $i] : ((is_of @ (ordsucc @ X0) @ (^[X1 : $i] : ((in @ X1 @ nat)))))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',suc_p)).
% 1.99/0.48 thf(f166,axiom,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X0 : $i] : ((nis @ (ordsucc @ X0) @ n_1))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',n_ax3)).
% 1.99/0.48 thf(f167,axiom,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X0 : $i] : ((all_of @ (^[X1 : $i] : ((in @ X1 @ nat))) @ (^[X1 : $i] : ((n_is @ (ordsucc @ X0) @ (ordsucc @ X1)) => (n_is @ X0 @ X1)))))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',n_ax4)).
% 1.99/0.48 thf(f172,conjecture,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X0 : $i] : ((all_of @ (^[X1 : $i] : ((in @ X1 @ nat))) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1))))))))),
% 1.99/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz1)).
% 1.99/0.48 thf(f173,negated_conjecture,(
% 1.99/0.48 ~(all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X0 : $i] : ((all_of @ (^[X1 : $i] : ((in @ X1 @ nat))) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1))))))))),
% 1.99/0.48 inference(negated_conjecture,[status(cth)],[f172])).
% 1.99/0.48 thf(f177,plain,(
% 1.99/0.48 (is_of @ n_1 @ (^[X0 : $i] : ((in @ X0 @ nat))))),
% 1.99/0.48 inference(rectify,[],[f164])).
% 1.99/0.48 thf(f178,plain,(
% 1.99/0.48 (((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) = $true)),
% 1.99/0.48 inference(fool_elimination,[],[f177])).
% 1.99/0.48 thf(f183,plain,(
% 1.99/0.48 ~(all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X1 : $i] : ((all_of @ (^[X2 : $i] : ((in @ X2 @ nat))) @ (^[X3 : $i] : ((nis @ X1 @ X3) => (nis @ (ordsucc @ X1) @ (ordsucc @ X3))))))))),
% 1.99/0.48 inference(rectify,[],[f173])).
% 1.99/0.48 thf(f184,plain,(
% 1.99/0.48 ~ (((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1)))))))) = $true)),
% 1.99/0.48 inference(fool_elimination,[],[f183])).
% 1.99/0.48 thf(f217,plain,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X1 : $i] : ((is_of @ (ordsucc @ X1) @ (^[X2 : $i] : ((in @ X2 @ nat)))))))),
% 1.99/0.48 inference(rectify,[],[f165])).
% 1.99/0.48 thf(f218,plain,(
% 1.99/0.48 (((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat)))))) = $true)),
% 1.99/0.48 inference(fool_elimination,[],[f217])).
% 1.99/0.48 thf(f229,plain,(
% 1.99/0.48 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 1.99/0.48 inference(fool_elimination,[],[f158])).
% 1.99/0.48 thf(f291,plain,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X1 : $i] : ((nis @ (ordsucc @ X1) @ n_1))))),
% 1.99/0.48 inference(rectify,[],[f166])).
% 1.99/0.48 thf(f292,plain,(
% 1.99/0.48 ($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ n_1)))))),
% 1.99/0.48 inference(fool_elimination,[],[f291])).
% 1.99/0.48 thf(f328,plain,(
% 1.99/0.48 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.99/0.48 inference(fool_elimination,[],[f1])).
% 1.99/0.48 thf(f334,plain,(
% 1.99/0.48 (all_of @ (^[X0 : $i] : ((in @ X0 @ nat))) @ (^[X1 : $i] : ((all_of @ (^[X2 : $i] : ((in @ X2 @ nat))) @ (^[X3 : $i] : ((n_is @ (ordsucc @ X1) @ (ordsucc @ X3)) => (n_is @ X1 @ X3)))))))),
% 1.99/0.48 inference(rectify,[],[f167])).
% 1.99/0.48 thf(f335,plain,(
% 1.99/0.48 ($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1))))))))),
% 1.99/0.48 inference(fool_elimination,[],[f334])).
% 1.99/0.48 thf(f345,plain,(
% 1.99/0.48 ! [X0 : ($i > $o),X1 : $i] : (all_of @ (^[X2 : $i] : ((in @ X2 @ X1))) @ (^[X3 : $i] : ((all_of @ (^[X4 : $i] : ((in @ X4 @ X1))) @ (^[X5 : $i] : ((X0 @ X3) => ((e_is @ X1 @ X3 @ X5) => (X0 @ X5))))))))),
% 1.99/0.48 inference(rectify,[],[f93])).
% 1.99/0.48 thf(f346,plain,(
% 1.99/0.48 ! [X1 : $i,X0 : ($i > $o)] : (((all_of @ (^[Y0 : $i]: (in @ Y0 @ X1)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X1)) @ (^[Y1 : $i]: ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)),
% 1.99/0.48 inference(fool_elimination,[],[f345])).
% 1.99/0.48 thf(f377,plain,(
% 1.99/0.48 ! [X0 : $i] : (all_of @ (^[X1 : $i] : ((in @ X1 @ X0))) @ (^[X2 : $i] : ((e_is @ X0 @ X2 @ X2))))),
% 1.99/0.48 inference(rectify,[],[f92])).
% 1.99/0.48 thf(f378,plain,(
% 1.99/0.48 ! [X0 : $i] : (((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0)))) = $true)),
% 1.99/0.48 inference(fool_elimination,[],[f377])).
% 1.99/0.48 thf(f436,plain,(
% 1.99/0.48 (all_of = (^[X0 : ($i > $o), X1 : ($i > $o)] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.99/0.48 inference(rectify,[],[f2])).
% 1.99/0.48 thf(f437,plain,(
% 1.99/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.99/0.48 inference(fool_elimination,[],[f436])).
% 1.99/0.48 thf(f439,plain,(
% 1.99/0.48 (((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1)))))))) != $true)),
% 1.99/0.48 inference(flattening,[],[f184])).
% 1.99/0.48 thf(f463,plain,(
% 1.99/0.48 ! [X0 : $i,X1 : ($i > $o)] : ($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))))),
% 1.99/0.48 inference(rectify,[],[f346])).
% 1.99/0.48 thf(f471,plain,(
% 1.99/0.48 (((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat)))))) = $true)),
% 1.99/0.48 inference(cnf_transformation,[],[f218])).
% 1.99/0.48 thf(f472,plain,(
% 1.99/0.48 (((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) = $true)),
% 1.99/0.48 inference(cnf_transformation,[],[f178])).
% 1.99/0.48 thf(f481,plain,(
% 1.99/0.48 (n_is = ((e_is @ nat)))),
% 1.99/0.48 inference(cnf_transformation,[],[f157])).
% 1.99/0.48 thf(f485,plain,(
% 1.99/0.48 ($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1))))))))),
% 1.99/0.48 inference(cnf_transformation,[],[f335])).
% 1.99/0.48 thf(f489,plain,(
% 1.99/0.48 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.99/0.48 inference(cnf_transformation,[],[f328])).
% 1.99/0.48 thf(f493,plain,(
% 1.99/0.48 (((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1)))))))) != $true)),
% 1.99/0.48 inference(cnf_transformation,[],[f439])).
% 1.99/0.48 thf(f494,plain,(
% 1.99/0.48 ($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ n_1)))))),
% 1.99/0.48 inference(cnf_transformation,[],[f292])).
% 1.99/0.48 thf(f501,plain,(
% 1.99/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
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% 1.99/0.48 thf(f510,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : ($i > $o)] : (($true = ((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 1.99/0.48 inference(cnf_transformation,[],[f463])).
% 1.99/0.48 thf(f511,plain,(
% 1.99/0.48 ( ! [X0 : $i] : ((((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0)))) = $true)) )),
% 1.99/0.48 inference(cnf_transformation,[],[f378])).
% 1.99/0.48 thf(f512,plain,(
% 1.99/0.48 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 1.99/0.48 inference(cnf_transformation,[],[f229])).
% 1.99/0.48 thf(f524,definition,(
% 1.99/0.48 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.99/0.48 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.99/0.48 thf(f525,plain,(
% 1.99/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.99/0.48 inference(definition_unfolding,[],[f501,f489])).
% 1.99/0.48 thf(f526,plain,(
% 1.99/0.48 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (e_is @ nat @ Y0 @ Y1))))))),
% 1.99/0.48 inference(definition_unfolding,[],[f512,f481])).
% 1.99/0.48 thf(f530,plain,(
% 1.99/0.48 ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $o]: (Y2 @ Y1)))) @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat)))))))),
% 1.99/0.48 inference(definition_unfolding,[],[f471,f525,f489])).
% 1.99/0.48 thf(f531,plain,(
% 1.99/0.48 ((((^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))) @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) = $true)),
% 1.99/0.48 inference(definition_unfolding,[],[f472,f489])).
% 1.99/0.48 thf(f534,plain,(
% 1.99/0.48 ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((e_is @ nat @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (e_is @ nat @ Y0 @ Y1))))))))),
% 1.99/0.48 inference(definition_unfolding,[],[f485,f525,f525,f481,f481])).
% 1.99/0.48 thf(f537,plain,(
% 1.99/0.48 ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ nat @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ nat @ Y2 @ Y3))))) @ (ordsucc @ Y0) @ (ordsucc @ Y1)))))))))),
% 1.99/0.48 inference(definition_unfolding,[],[f493,f525,f525,f526,f526])).
% 1.99/0.48 thf(f538,plain,(
% 1.99/0.48 ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_not @ (e_is @ nat @ Y1 @ Y2))))) @ (ordsucc @ Y0) @ n_1)))) = $true)),
% 1.99/0.48 inference(definition_unfolding,[],[f494,f525,f526])).
% 1.99/0.48 thf(f546,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : ($i > $o)] : (($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 1.99/0.48 inference(definition_unfolding,[],[f510,f525,f525])).
% 1.99/0.48 thf(f547,plain,(
% 1.99/0.48 ( ! [X0 : $i] : (((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0)))) = $true)) )),
% 1.99/0.48 inference(definition_unfolding,[],[f511,f525])).
% 1.99/0.48 thf(f554,plain,(
% 1.99/0.48 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((e_is @ nat @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (e_is @ nat @ Y0 @ Y1))))))))) = $true)),
% 1.99/0.48 inference(beta-eta_normalization,[],[f534])).
% 1.99/0.48 thf(f555,plain,(
% 1.99/0.48 ( ! [X1 : $i] : (((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((e_is @ nat @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (e_is @ nat @ Y0 @ Y1))))))) @ X1)) = $true)) )),
% 1.99/0.48 inference(pi_proxy_clausification,[],[f554])).
% 1.99/0.48 thf(f556,plain,(
% 1.99/0.48 ( ! [X1 : $i] : (($true = (((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (e_is @ nat @ X1 @ Y0))))))))) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f555])).
% 1.99/0.48 thf(f557,plain,(
% 1.99/0.48 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (e_is @ nat @ X1 @ Y0)))))) = $true) | (((in @ X1 @ nat)) = $false)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f556])).
% 1.99/0.48 thf(f558,plain,(
% 1.99/0.48 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ nat)) = $false) | ($true = (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (e_is @ nat @ X1 @ Y0)))) @ X2)))) )),
% 1.99/0.48 inference(pi_proxy_clausification,[],[f557])).
% 1.99/0.48 thf(f559,plain,(
% 1.99/0.48 ( ! [X2 : $i,X1 : $i] : (($true = (((in @ X2 @ nat) => ((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)) => (e_is @ nat @ X1 @ X2))))) | (((in @ X1 @ nat)) = $false)) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f558])).
% 1.99/0.48 thf(f560,plain,(
% 1.99/0.48 ( ! [X2 : $i,X1 : $i] : (($true = (((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)) => (e_is @ nat @ X1 @ X2)))) | (((in @ X1 @ nat)) = $false) | ($false = ((in @ X2 @ nat)))) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f559])).
% 1.99/0.48 thf(f561,plain,(
% 1.99/0.48 ( ! [X2 : $i,X1 : $i] : (($false = ((e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)))) | ($false = ((in @ X2 @ nat))) | ($true = ((e_is @ nat @ X1 @ X2))) | (((in @ X1 @ nat)) = $false)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f560])).
% 1.99/0.48 thf(f566,plain,(
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% 1.99/0.48 inference(beta-eta_normalization,[],[f537])).
% 1.99/0.48 thf(f567,plain,(
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% 1.99/0.48 inference(sigma_proxy_clausification,[],[f566])).
% 1.99/0.48 thf(f568,plain,(
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% 1.99/0.48 inference(beta-eta_normalization,[],[f567])).
% 1.99/0.48 thf(f569,plain,(
% 1.99/0.48 ($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (e_is @ nat @ sK1 @ Y0)) => (d_not @ (e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ Y0)))))))))),
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% 1.99/0.48 thf(f570,plain,(
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% 1.99/0.48 thf(f571,plain,(
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% 1.99/0.48 thf(f572,plain,(
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% 1.99/0.48 thf(f573,plain,(
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% 1.99/0.48 thf(f574,plain,(
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% 1.99/0.48 thf(f575,plain,(
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% 1.99/0.48 inference(imp_proxy_clausification,[],[f573])).
% 1.99/0.48 thf(f576,plain,(
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% 1.99/0.48 thf(f577,plain,(
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% 1.99/0.48 inference(beta-eta_normalization,[],[f530])).
% 1.99/0.48 thf(f578,plain,(
% 1.99/0.48 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ nat) => (in @ (ordsucc @ Y0) @ nat))) @ X1)))) )),
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% 1.99/0.48 thf(f579,plain,(
% 1.99/0.48 ( ! [X1 : $i] : (((((in @ X1 @ nat) => (in @ (ordsucc @ X1) @ nat))) = $true)) )),
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% 1.99/0.48 thf(f580,plain,(
% 1.99/0.48 ( ! [X1 : $i] : (($true = ((in @ (ordsucc @ X1) @ nat))) | (((in @ X1 @ nat)) = $false)) )),
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% 1.99/0.48 thf(f618,plain,(
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% 1.99/0.48 thf(f619,plain,(
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% 1.99/0.48 thf(f620,plain,(
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% 1.99/0.48 thf(f621,plain,(
% 1.99/0.48 ( ! [X1 : $i] : ((((d_not @ (e_is @ nat @ (ordsucc @ X1) @ n_1))) = $true) | (((in @ X1 @ nat)) = $false)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f620])).
% 1.99/0.48 thf(f642,plain,(
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% 1.99/0.48 inference(beta-eta_normalization,[],[f531])).
% 1.99/0.48 thf(f648,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X0) => ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))))) = $true)) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f546])).
% 1.99/0.48 thf(f649,plain,(
% 1.99/0.48 ( ! [X2 : $i,X0 : $i,X1 : ($i > $o)] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ X0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X0) => ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))) @ X2)))) )),
% 1.99/0.48 inference(pi_proxy_clausification,[],[f648])).
% 1.99/0.48 thf(f650,plain,(
% 1.99/0.48 ( ! [X2 : $i,X0 : $i,X1 : ($i > $o)] : (($true = (((in @ X2 @ X0) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X0) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0)))))))))) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f649])).
% 1.99/0.48 thf(f651,plain,(
% 1.99/0.48 ( ! [X2 : $i,X0 : $i,X1 : ($i > $o)] : ((((in @ X2 @ X0)) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X0) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0))))))))) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f650])).
% 1.99/0.48 thf(f652,plain,(
% 1.99/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o)] : ((((in @ X2 @ X0)) = $false) | ((((^[Y0 : $i]: ((in @ Y0 @ X0) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0))))) @ X3)) = $true)) )),
% 1.99/0.48 inference(pi_proxy_clausification,[],[f651])).
% 1.99/0.48 thf(f653,plain,(
% 1.99/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o)] : (($true = (((in @ X3 @ X0) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3)))))) | (((in @ X2 @ X0)) = $false)) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f652])).
% 1.99/0.48 thf(f654,plain,(
% 1.99/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o)] : ((((in @ X3 @ X0)) = $false) | (((in @ X2 @ X0)) = $false) | ($true = (((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3)))))) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f653])).
% 1.99/0.48 thf(f655,plain,(
% 1.99/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $false) | (((in @ X3 @ X0)) = $false) | (((in @ X2 @ X0)) = $false) | ((((e_is @ X0 @ X2 @ X3) => (X1 @ X3))) = $true)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f654])).
% 1.99/0.48 thf(f656,plain,(
% 1.99/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $o)] : ((((e_is @ X0 @ X2 @ X3)) = $false) | (((X1 @ X2)) = $false) | (((X1 @ X3)) = $true) | (((in @ X2 @ X0)) = $false) | (((in @ X3 @ X0)) = $false)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f655])).
% 1.99/0.48 thf(f657,plain,(
% 1.99/0.48 ( ! [X0 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X0) => (e_is @ X0 @ Y0 @ Y0))))) = $true)) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f547])).
% 1.99/0.48 thf(f658,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ X0) => (e_is @ X0 @ Y0 @ Y0))) @ X1)))) )),
% 1.99/0.48 inference(pi_proxy_clausification,[],[f657])).
% 1.99/0.48 thf(f659,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : $i] : (((((in @ X1 @ X0) => (e_is @ X0 @ X1 @ X1))) = $true)) )),
% 1.99/0.48 inference(beta-eta_normalization,[],[f658])).
% 1.99/0.48 thf(f660,plain,(
% 1.99/0.48 ( ! [X0 : $i,X1 : $i] : ((((e_is @ X0 @ X1 @ X1)) = $true) | (((in @ X1 @ X0)) = $false)) )),
% 1.99/0.48 inference(imp_proxy_clausification,[],[f659])).
% 1.99/0.48 thf(f671,plain,(
% 1.99/0.48 (((d_not @ $true)) = $true) | (((e_is @ nat @ sK1 @ sK2)) = $false)),
% 1.99/0.48 inference(superposition,[],[f576,f524])).
% 1.99/0.48 thf(f673,definition,(
% 1.99/0.48 spl3_1 <=> (((e_is @ nat @ sK1 @ sK2)) = $false)),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 1.99/0.48 thf(f675,plain,(
% 1.99/0.48 (((e_is @ nat @ sK1 @ sK2)) = $false) | ~spl3_1),
% 1.99/0.48 inference(avatar_component_clause,[],[f673])).
% 1.99/0.48 thf(f677,definition,(
% 1.99/0.48 spl3_2 <=> (((d_not @ $true)) = $true)),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 1.99/0.48 thf(f679,plain,(
% 1.99/0.48 (((d_not @ $true)) = $true) | ~spl3_2),
% 1.99/0.48 inference(avatar_component_clause,[],[f677])).
% 1.99/0.48 thf(f680,plain,(
% 1.99/0.48 spl3_1 | spl3_2),
% 1.99/0.48 inference(avatar_split_clause,[],[f671,f677,f673])).
% 1.99/0.48 thf(f681,plain,(
% 1.99/0.48 ( ! [X0 : $o] : (($false = X0) | (((d_not @ X0)) = X0)) ) | ~spl3_2),
% 1.99/0.48 inference(superposition,[],[f679,f524])).
% 1.99/0.48 thf(f682,plain,(
% 1.99/0.48 ( ! [X0 : $o] : (($false = X0) | (((d_not @ X0)) = $true) | ($false = X0)) ) | ~spl3_2),
% 1.99/0.48 inference(iff_proxy_clausification,[],[f681])).
% 1.99/0.48 thf(f684,plain,(
% 1.99/0.48 ( ! [X0 : $o] : ((((d_not @ X0)) = $true) | ($false = X0)) ) | ~spl3_2),
% 1.99/0.48 inference(duplicate_literal_removal,[],[f682])).
% 1.99/0.48 thf(f688,plain,(
% 1.99/0.48 ($false = ((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK2)))) | (((d_not @ $true)) = $false)),
% 1.99/0.48 inference(superposition,[],[f575,f524])).
% 1.99/0.48 thf(f689,plain,(
% 1.99/0.48 ($false = ((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK2)))) | ($false = $true) | ~spl3_2),
% 1.99/0.48 inference(superposition,[],[f575,f684])).
% 1.99/0.48 thf(f692,plain,(
% 1.99/0.48 ($false = ((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK2)))) | ~spl3_2),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f689])).
% 1.99/0.48 thf(f696,plain,(
% 1.99/0.48 ($false = ((d_not @ $false))) | ~spl3_2),
% 1.99/0.48 inference(superposition,[],[f575,f692])).
% 1.99/0.48 thf(f881,plain,(
% 1.99/0.48 ( ! [X0 : $i] : (($false = ((e_is @ nat @ (ordsucc @ X0) @ n_1))) | (((in @ X0 @ nat)) = $false) | (((d_not @ $true)) = $true)) )),
% 1.99/0.48 inference(superposition,[],[f621,f524])).
% 1.99/0.48 thf(f1102,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ sK2))) | (((in @ sK1 @ nat)) = $false) | ($true = ((d_not @ $false))) | ($false = ((X0 @ sK1))) | (((in @ sK2 @ nat)) = $false)) )),
% 1.99/0.48 inference(superposition,[],[f576,f656])).
% 1.99/0.48 thf(f1119,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((d_not @ $false))) | ($false = $true) | (((in @ sK2 @ nat)) = $false) | ($false = ((X0 @ sK1))) | ($true = ((X0 @ sK2)))) )),
% 1.99/0.48 inference(forward_demodulation,[],[f1102,f570])).
% 1.99/0.48 thf(f1120,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ sK2))) | (((in @ sK2 @ nat)) = $false) | ($false = ((X0 @ sK1))) | ($true = ((d_not @ $false)))) )),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1119])).
% 1.99/0.48 thf(f1123,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((d_not @ $false))) | ($false = ((X0 @ sK1))) | ($false = $true) | ($true = ((X0 @ sK2)))) )),
% 1.99/0.48 inference(forward_demodulation,[],[f1120,f574])).
% 1.99/0.48 thf(f1124,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($false = ((X0 @ sK1))) | ($true = ((d_not @ $false))) | ($true = ((X0 @ sK2)))) )),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1123])).
% 1.99/0.48 thf(f1127,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ sK2))) | ($false = $true) | ($false = ((X0 @ sK1)))) ) | ~spl3_2),
% 1.99/0.48 inference(forward_demodulation,[],[f1124,f696])).
% 1.99/0.48 thf(f1128,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ sK2))) | ($false = ((X0 @ sK1)))) ) | ~spl3_2),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1127])).
% 1.99/0.48 thf(f1151,plain,(
% 1.99/0.48 (sK2 = sK1) | ~spl3_2),
% 1.99/0.48 inference(leibniz_equality_elimination,[],[f1128])).
% 1.99/0.48 thf(f1188,definition,(
% 1.99/0.48 spl3_12 <=> ($true = ((d_not @ $false)))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition])).
% 1.99/0.48 thf(f1190,plain,(
% 1.99/0.48 ($true = ((d_not @ $false))) | ~spl3_12),
% 1.99/0.48 inference(avatar_component_clause,[],[f1188])).
% 1.99/0.48 thf(f1192,definition,(
% 1.99/0.48 spl3_13 <=> ! [X0 : ($i > $o)] : (($false = ((X0 @ sK1))) | ($true = ((X0 @ sK2))))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition])).
% 1.99/0.48 thf(f1193,plain,(
% 1.99/0.48 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ sK2))) | ($false = ((X0 @ sK1)))) ) | ~spl3_13),
% 1.99/0.48 inference(avatar_component_clause,[],[f1192])).
% 1.99/0.48 thf(f1194,plain,(
% 1.99/0.48 spl3_12 | spl3_13),
% 1.99/0.48 inference(avatar_split_clause,[],[f1124,f1192,f1188])).
% 1.99/0.48 thf(f1196,definition,(
% 1.99/0.48 spl3_14 <=> ! [X0 : $i] : (($false = ((e_is @ nat @ (ordsucc @ X0) @ n_1))) | (((in @ X0 @ nat)) = $false))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition])).
% 1.99/0.48 thf(f1197,plain,(
% 1.99/0.48 ( ! [X0 : $i] : (($false = ((e_is @ nat @ (ordsucc @ X0) @ n_1))) | (((in @ X0 @ nat)) = $false)) ) | ~spl3_14),
% 1.99/0.48 inference(avatar_component_clause,[],[f1196])).
% 1.99/0.48 thf(f1198,plain,(
% 1.99/0.48 spl3_2 | spl3_14),
% 1.99/0.48 inference(avatar_split_clause,[],[f881,f1196,f677])).
% 1.99/0.48 thf(f1204,definition,(
% 1.99/0.48 spl3_16 <=> (((d_not @ $true)) = $false)),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition])).
% 1.99/0.48 thf(f1206,plain,(
% 1.99/0.48 (((d_not @ $true)) = $false) | ~spl3_16),
% 1.99/0.48 inference(avatar_component_clause,[],[f1204])).
% 1.99/0.48 thf(f1208,definition,(
% 1.99/0.48 spl3_17 <=> ($false = ((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK2))))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition])).
% 1.99/0.48 thf(f1210,plain,(
% 1.99/0.48 ($false = ((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK2)))) | ~spl3_17),
% 1.99/0.48 inference(avatar_component_clause,[],[f1208])).
% 1.99/0.48 thf(f1211,plain,(
% 1.99/0.48 spl3_16 | spl3_17),
% 1.99/0.48 inference(avatar_split_clause,[],[f688,f1208,f1204])).
% 1.99/0.48 thf(f1213,definition,(
% 1.99/0.48 spl3_18 <=> ($false = ((d_not @ $false)))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition])).
% 1.99/0.48 thf(f1215,plain,(
% 1.99/0.48 ($false = ((d_not @ $false))) | ~spl3_18),
% 1.99/0.48 inference(avatar_component_clause,[],[f1213])).
% 1.99/0.48 thf(f1217,definition,(
% 1.99/0.48 spl3_19 <=> ($false = ((in @ (ordsucc @ sK2) @ nat)))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition])).
% 1.99/0.48 thf(f1218,plain,(
% 1.99/0.48 ($false != ((in @ (ordsucc @ sK2) @ nat))) | spl3_19),
% 1.99/0.48 inference(avatar_component_clause,[],[f1217])).
% 1.99/0.48 thf(f1219,plain,(
% 1.99/0.48 ($false = ((in @ (ordsucc @ sK2) @ nat))) | ~spl3_19),
% 1.99/0.48 inference(avatar_component_clause,[],[f1217])).
% 1.99/0.48 thf(f1224,definition,(
% 1.99/0.48 spl3_21 <=> ($false = ((in @ (ordsucc @ sK1) @ nat)))),
% 1.99/0.48 introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition])).
% 1.99/0.48 thf(f1228,plain,(
% 1.99/0.48 spl3_18 | ~spl3_2),
% 1.99/0.48 inference(avatar_split_clause,[],[f696,f677,f1213])).
% 1.99/0.48 thf(f1229,plain,(
% 1.99/0.48 ($false = $true) | (~spl3_12 | ~spl3_18)),
% 1.99/0.48 inference(forward_demodulation,[],[f1190,f1215])).
% 1.99/0.48 thf(f1230,plain,(
% 1.99/0.48 $false | (~spl3_12 | ~spl3_18)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1229])).
% 1.99/0.48 thf(f1231,plain,(
% 1.99/0.48 ~spl3_12 | ~spl3_18),
% 1.99/0.48 inference(avatar_contradiction_clause,[],[f1230])).
% 1.99/0.48 thf(f1232,plain,(
% 1.99/0.48 ($false = $true) | (~spl3_2 | ~spl3_16)),
% 1.99/0.48 inference(forward_demodulation,[],[f679,f1206])).
% 1.99/0.48 thf(f1233,plain,(
% 1.99/0.48 $false | (~spl3_2 | ~spl3_16)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1232])).
% 1.99/0.48 thf(f1234,plain,(
% 1.99/0.48 ~spl3_2 | ~spl3_16),
% 1.99/0.48 inference(avatar_contradiction_clause,[],[f1233])).
% 1.99/0.48 thf(f1274,plain,(
% 1.99/0.48 (((e_is @ nat @ sK1 @ sK2)) = $true) | (((in @ sK1 @ nat)) = $false) | ($false = ((d_not @ $false))) | (((in @ sK2 @ nat)) = $false)),
% 1.99/0.48 inference(superposition,[],[f575,f561])).
% 1.99/0.48 thf(f1281,plain,(
% 1.99/0.48 (sK2 = sK1) | ~spl3_13),
% 1.99/0.48 inference(leibniz_equality_elimination,[],[f1193])).
% 1.99/0.48 thf(f1321,plain,(
% 1.99/0.48 (((e_is @ nat @ (ordsucc @ sK1) @ (ordsucc @ sK1))) = $false) | (~spl3_13 | ~spl3_17)),
% 1.99/0.48 inference(forward_demodulation,[],[f1210,f1281])).
% 1.99/0.48 thf(f1493,plain,(
% 1.99/0.48 ($false = $true) | ($false = ((d_not @ $false))) | (((in @ sK2 @ nat)) = $false) | (((in @ sK1 @ nat)) = $false) | ~spl3_1),
% 1.99/0.48 inference(forward_demodulation,[],[f1274,f675])).
% 1.99/0.48 thf(f1494,plain,(
% 1.99/0.48 (((in @ sK2 @ nat)) = $false) | ($false = ((d_not @ $false))) | (((in @ sK1 @ nat)) = $false) | ~spl3_1),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1493])).
% 1.99/0.48 thf(f1497,plain,(
% 1.99/0.48 (((in @ sK1 @ nat)) = $false) | ($false = $true) | ($false = ((d_not @ $false))) | ~spl3_1),
% 1.99/0.48 inference(forward_demodulation,[],[f1494,f574])).
% 1.99/0.48 thf(f1498,plain,(
% 1.99/0.48 (((in @ sK1 @ nat)) = $false) | ($false = ((d_not @ $false))) | ~spl3_1),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1497])).
% 1.99/0.48 thf(f1499,plain,(
% 1.99/0.48 ($false = ((d_not @ $false))) | ($false = $true) | ~spl3_1),
% 1.99/0.48 inference(forward_demodulation,[],[f1498,f570])).
% 1.99/0.48 thf(f1500,plain,(
% 1.99/0.48 ($false = ((d_not @ $false))) | ~spl3_1),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1499])).
% 1.99/0.48 thf(f1501,plain,(
% 1.99/0.48 spl3_18 | ~spl3_1),
% 1.99/0.48 inference(avatar_split_clause,[],[f1500,f673,f1213])).
% 1.99/0.48 thf(f1507,plain,(
% 1.99/0.48 ( ! [X0 : $i] : ((((in @ X0 @ nat)) = $false) | (((in @ X0 @ nat)) = $false) | ($true = ((d_not @ $false)))) ) | ~spl3_14),
% 1.99/0.48 inference(superposition,[],[f621,f1197])).
% 1.99/0.48 thf(f1508,plain,(
% 1.99/0.48 ( ! [X0 : $i] : (($true = ((d_not @ $false))) | (((in @ X0 @ nat)) = $false)) ) | ~spl3_14),
% 1.99/0.48 inference(duplicate_literal_removal,[],[f1507])).
% 1.99/0.48 thf(f1510,plain,(
% 1.99/0.48 ( ! [X0 : $i] : ((((in @ X0 @ nat)) = $false) | ($false = $true)) ) | (~spl3_14 | ~spl3_18)),
% 1.99/0.48 inference(forward_demodulation,[],[f1508,f1215])).
% 1.99/0.48 thf(f1511,plain,(
% 1.99/0.48 ( ! [X0 : $i] : ((((in @ X0 @ nat)) = $false)) ) | (~spl3_14 | ~spl3_18)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1510])).
% 1.99/0.48 thf(f1605,plain,(
% 1.99/0.48 ($false = $true) | (~spl3_14 | ~spl3_18)),
% 1.99/0.48 inference(superposition,[],[f642,f1511])).
% 1.99/0.48 thf(f1628,plain,(
% 1.99/0.48 $false | (~spl3_14 | ~spl3_18)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1605])).
% 1.99/0.48 thf(f1629,plain,(
% 1.99/0.48 ~spl3_14 | ~spl3_18),
% 1.99/0.48 inference(avatar_contradiction_clause,[],[f1628])).
% 1.99/0.48 thf(f1729,plain,(
% 1.99/0.48 (((in @ sK2 @ nat)) = $false) | ($false = $true) | ~spl3_19),
% 1.99/0.48 inference(superposition,[],[f580,f1219])).
% 1.99/0.48 thf(f1731,plain,(
% 1.99/0.48 (((in @ sK2 @ nat)) = $false) | ~spl3_19),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1729])).
% 1.99/0.48 thf(f1734,plain,(
% 1.99/0.48 (((in @ sK1 @ nat)) = $false) | (~spl3_2 | ~spl3_19)),
% 1.99/0.48 inference(forward_demodulation,[],[f1731,f1151])).
% 1.99/0.48 thf(f1737,plain,(
% 1.99/0.48 ($false != ((in @ (ordsucc @ sK1) @ nat))) | (~spl3_2 | spl3_19)),
% 1.99/0.48 inference(forward_demodulation,[],[f1218,f1151])).
% 1.99/0.48 thf(f1738,plain,(
% 1.99/0.48 ~spl3_21 | ~spl3_2 | spl3_19),
% 1.99/0.48 inference(avatar_split_clause,[],[f1737,f1217,f677,f1224])).
% 1.99/0.48 thf(f1941,plain,(
% 1.99/0.48 ($false = $true) | ($false = ((in @ (ordsucc @ sK1) @ nat))) | (~spl3_13 | ~spl3_17)),
% 1.99/0.48 inference(superposition,[],[f1321,f660])).
% 1.99/0.48 thf(f1946,plain,(
% 1.99/0.48 ($false = ((in @ (ordsucc @ sK1) @ nat))) | (~spl3_13 | ~spl3_17)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1941])).
% 1.99/0.48 thf(f1957,plain,(
% 1.99/0.48 spl3_21 | ~spl3_13 | ~spl3_17),
% 1.99/0.48 inference(avatar_split_clause,[],[f1946,f1208,f1192,f1224])).
% 1.99/0.48 thf(f1994,plain,(
% 1.99/0.48 ($false = $true) | (~spl3_2 | ~spl3_19)),
% 1.99/0.48 inference(superposition,[],[f570,f1734])).
% 1.99/0.48 thf(f1999,plain,(
% 1.99/0.48 $false | (~spl3_2 | ~spl3_19)),
% 1.99/0.48 inference(trivial_inequality_removal,[],[f1994])).
% 1.99/0.48 thf(f2000,plain,(
% 1.99/0.48 ~spl3_2 | ~spl3_19),
% 1.99/0.48 inference(avatar_contradiction_clause,[],[f1999])).
% 1.99/0.48 cnf(s1, plain, spl3_1 | spl3_2, inference(sat_conversion,[],[f680])).
% 1.99/0.48 cnf(s8, plain, spl3_12 | spl3_13, inference(sat_conversion,[],[f1194])).
% 1.99/0.48 cnf(s9, plain, spl3_2 | spl3_14, inference(sat_conversion,[],[f1198])).
% 1.99/0.48 cnf(s11, plain, spl3_16 | spl3_17, inference(sat_conversion,[],[f1211])).
% 1.99/0.48 cnf(s13, plain, ~spl3_2 | spl3_18, inference(sat_conversion,[],[f1228])).
% 1.99/0.48 cnf(s14, plain, ~spl3_12 | ~spl3_18, inference(sat_conversion,[],[f1231])).
% 1.99/0.48 cnf(s15, plain, ~spl3_2 | ~spl3_16, inference(sat_conversion,[],[f1234])).
% 1.99/0.48 cnf(s35, plain, ~spl3_1 | spl3_18, inference(sat_conversion,[],[f1501])).
% 1.99/0.48 cnf(s45, plain, ~spl3_14 | ~spl3_18, inference(sat_conversion,[],[f1629])).
% 1.99/0.48 cnf(s47, plain, ~spl3_2 | spl3_19 | ~spl3_21, inference(sat_conversion,[],[f1738])).
% 1.99/0.48 cnf(s50, plain, ~spl3_13 | ~spl3_17 | spl3_21, inference(sat_conversion,[],[f1957])).
% 1.99/0.48 cnf(s54, plain, ~spl3_2 | ~spl3_19, inference(sat_conversion,[],[f2000])).
% 1.99/0.48 cnf(s55, plain, ~spl3_2, inference(rat,[],[s8,s50,s14,s11,s47,s13,s15,s54])).
% 1.99/0.48 cnf(s58, plain, spl3_14, inference(rat,[],[s9,s55])).
% 1.99/0.48 cnf(s59, plain, spl3_1, inference(rat,[],[s1,s55])).
% 1.99/0.48 cnf(s62, plain, ~spl3_18, inference(rat,[],[s45,s58])).
% 1.99/0.48 cnf(s63, plain, $false, inference(rat,[],[s35,s62,s59])).
% 1.99/0.48 thf(f2001,plain,(
% 1.99/0.48 $false),
% 1.99/0.48 inference(avatar_sat_refutation,[],[s63])).
% 1.99/0.48 % SZS output end Proof for theBenchmark
% 1.99/0.48 % (8188)------------------------------
% 1.99/0.48 % (8188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.48 % (8188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.48 % (8188)CaDiCaL version: 2.1.3
% 1.99/0.48 % (8188)Termination reason: Refutation
% 1.99/0.48 % (8188)Time elapsed: 0.059 s
% 1.99/0.48 % (8188)Peak memory usage: 14 MB
% 1.99/0.48 % (8188)Instructions burned: 156 (million)
% 1.99/0.48 % (8074)Success in time 0.336 s
% 1.99/0.48 % Vampire exiting
%------------------------------------------------------------------------------