%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP079^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:08:15 AM UTC 2026
% Result : Theorem 0.63s 0.43s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP079^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:46:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.26 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
% 0.63/0.41 % (3834251)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.41 % (3834260)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2051573388:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.41 % (3834262)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.41 % (3834262)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
% 0.63/0.41 % (3834260)Instruction limit reached!
% 0.63/0.41 % (3834260)------------------------------
% 0.63/0.41 % (3834260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (3834260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (3834260)CaDiCaL version: 2.1.3
% 0.63/0.41 % (3834260)Termination reason: Instruction limit
% 0.63/0.41 % (3834260)Termination phase: Property scanning
% 0.63/0.41 % (3834260)Time elapsed: 0.007 s
% 0.63/0.41 % (3834260)Peak memory usage: 11 MB
% 0.63/0.41 % (3834260)Instructions burned: 26 (million)
% 0.63/0.41 % (3834257)lrs+10_16_si=on:nwc=1.5:random_seed=1827156949:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.41 % (3834258)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=440083567:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.41 % (3834256)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3334147684:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.41 % (3834259)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=3734507949: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)
% 0.63/0.41 % (3834261)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3803260242:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.41 % (3834262)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=398981596:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.41 % (3834258)Instruction limit reached!
% 0.63/0.41 % (3834258)------------------------------
% 0.63/0.41 % (3834258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (3834258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (3834258)CaDiCaL version: 2.1.3
% 0.63/0.41 % (3834258)Termination reason: Instruction limit
% 0.63/0.41 % (3834258)Termination phase: shuffling
% 0.63/0.41 % (3834258)Time elapsed: 0.004 s
% 0.63/0.41 % (3834258)Peak memory usage: 10 MB
% 0.63/0.41 % (3834258)Instructions burned: 8 (million)
% 0.63/0.41 % (3834257)Instruction limit reached!
% 0.63/0.41 % (3834257)------------------------------
% 0.63/0.41 % (3834257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (3834257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (3834257)CaDiCaL version: 2.1.3
% 0.63/0.41 % (3834257)Termination reason: Instruction limit
% 0.63/0.41 % (3834257)Termination phase: shuffling
% 0.63/0.41 % (3834257)Time elapsed: 0.008 s
% 0.63/0.41 % (3834257)Peak memory usage: 10 MB
% 0.63/0.41 % (3834257)Instructions burned: 18 (million)
% 0.63/0.41 % (3834270)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4099502717:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.41 % (3834270)Instruction limit reached!
% 0.63/0.41 % (3834270)------------------------------
% 0.63/0.41 % (3834270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (3834270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (3834270)CaDiCaL version: 2.1.3
% 0.63/0.41 % (3834270)Termination reason: Instruction limit
% 0.63/0.41 % (3834270)Termination phase: shuffling
% 0.63/0.41 % (3834270)Time elapsed: 0.001 s
% 0.63/0.41 % (3834270)Peak memory usage: 10 MB
% 0.63/0.41 % (3834270)Instructions burned: 3 (million)
% 0.63/0.41 % (3834272)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42 % (3834274)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=770123550:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.42 % (3834271)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3705077310:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.42 % (3834272)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=730728566:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.42 % (3834271)Instruction limit reached!
% 0.63/0.42 % (3834271)------------------------------
% 0.63/0.42 % (3834271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834271)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834271)Termination reason: Instruction limit
% 0.63/0.42 % (3834271)Termination phase: shuffling
% 0.63/0.42 % (3834271)Time elapsed: 0.003 s
% 0.63/0.42 % (3834271)Peak memory usage: 10 MB
% 0.63/0.42 % (3834271)Instructions burned: 5 (million)
% 0.63/0.42 % (3834274)Instruction limit reached!
% 0.63/0.42 % (3834274)------------------------------
% 0.63/0.42 % (3834274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834274)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834274)Termination reason: Instruction limit
% 0.63/0.42 % (3834274)Termination phase: shuffling
% 0.63/0.42 % (3834274)Time elapsed: 0.003 s
% 0.63/0.42 % (3834274)Peak memory usage: 10 MB
% 0.63/0.42 % (3834274)Instructions burned: 13 (million)
% 0.63/0.42 % (3834272)Instruction limit reached!
% 0.63/0.42 % (3834272)------------------------------
% 0.63/0.42 % (3834272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834272)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834272)Termination reason: Instruction limit
% 0.63/0.42 % (3834272)Termination phase: shuffling
% 0.63/0.42 % (3834272)Time elapsed: 0.005 s
% 0.63/0.42 % (3834272)Peak memory usage: 10 MB
% 0.63/0.42 % (3834272)Instructions burned: 11 (million)
% 0.63/0.42 % (3834261)Instruction limit reached!
% 0.63/0.42 % (3834261)------------------------------
% 0.63/0.42 % (3834261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834261)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834261)Termination reason: Instruction limit
% 0.63/0.42 % (3834261)Termination phase: Property scanning
% 0.63/0.42 % (3834261)Time elapsed: 0.036 s
% 0.63/0.42 % (3834261)Peak memory usage: 12 MB
% 0.63/0.42 % (3834261)Instructions burned: 75 (million)
% 0.63/0.42 % (3834278)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
% 0.63/0.42 % (3834278)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42 % (3834278)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1079039383:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.42 % (3834279)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=1653982804:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.42 % (3834278)Instruction limit reached!
% 0.63/0.42 % (3834278)------------------------------
% 0.63/0.42 % (3834278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834278)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834278)Termination reason: Instruction limit
% 0.63/0.42 % (3834278)Termination phase: shuffling
% 0.63/0.42 % (3834278)Time elapsed: 0.007 s
% 0.63/0.42 % (3834278)Peak memory usage: 11 MB
% 0.63/0.42 % (3834278)Instructions burned: 29 (million)
% 0.63/0.42 % (3834281)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.42 % (3834280)lrs+10_1_si=on:cs=on:random_seed=3621879924:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.42 % (3834281)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=651662549:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.42 % (3834280)Instruction limit reached!
% 0.63/0.42 % (3834280)------------------------------
% 0.63/0.42 % (3834280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834280)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834280)Termination reason: Instruction limit
% 0.63/0.42 % (3834280)Termination phase: shuffling
% 0.63/0.42 % (3834280)Time elapsed: 0.004 s
% 0.63/0.42 % (3834280)Peak memory usage: 10 MB
% 0.63/0.42 % (3834280)Instructions burned: 9 (million)
% 0.63/0.42 % (3834281)Instruction limit reached!
% 0.63/0.42 % (3834281)------------------------------
% 0.63/0.42 % (3834281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834281)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834281)Termination reason: Instruction limit
% 0.63/0.42 % (3834281)Termination phase: shuffling
% 0.63/0.42 % (3834281)Time elapsed: 0.002 s
% 0.63/0.42 % (3834281)Peak memory usage: 10 MB
% 0.63/0.42 % (3834281)Instructions burned: 3 (million)
% 0.63/0.42 % (3834256)Instruction limit reached!
% 0.63/0.42 % (3834256)------------------------------
% 0.63/0.42 % (3834256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3834256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3834256)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3834256)Termination reason: Instruction limit
% 0.63/0.42 % (3834256)Termination phase: Property scanning
% 0.63/0.42 % (3834256)Time elapsed: 0.067 s
% 0.63/0.42 % (3834256)Peak memory usage: 12 MB
% 0.63/0.42 % (3834256)Instructions burned: 102 (million)
% 0.63/0.42 % (3834284)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1410692728:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.43 % (3834262)Instruction limit reached!
% 0.63/0.43 % (3834262)------------------------------
% 0.63/0.43 % (3834262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834262)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834262)Termination reason: Instruction limit
% 0.63/0.43 % (3834262)Termination phase: Saturation
% 0.63/0.43 % (3834262)Time elapsed: 0.070 s
% 0.63/0.43 % (3834262)Peak memory usage: 14 MB
% 0.63/0.43 % (3834262)Instructions burned: 158 (million)
% 0.63/0.43 % (3834289)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1475571888:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.43 % (3834287)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4183926211:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.43 % (3834289)Instruction limit reached!
% 0.63/0.43 % (3834289)------------------------------
% 0.63/0.43 % (3834289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834289)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834289)Termination reason: Instruction limit
% 0.63/0.43 % (3834289)Termination phase: shuffling
% 0.63/0.43 % (3834289)Time elapsed: 0.003 s
% 0.63/0.43 % (3834289)Peak memory usage: 10 MB
% 0.63/0.43 % (3834289)Instructions burned: 14 (million)
% 0.63/0.43 % (3834288)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=279596467:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.43 % (3834279)Instruction limit reached!
% 0.63/0.43 % (3834279)------------------------------
% 0.63/0.43 % (3834279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834279)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834279)Termination reason: Instruction limit
% 0.63/0.43 % (3834279)Termination phase: Property scanning
% 0.63/0.43 % (3834279)Time elapsed: 0.037 s
% 0.63/0.43 % (3834279)Peak memory usage: 11 MB
% 0.63/0.43 % (3834279)Instructions burned: 86 (million)
% 0.63/0.43 % (3834284)Instruction limit reached!
% 0.63/0.43 % (3834284)------------------------------
% 0.63/0.43 % (3834284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834284)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834284)Termination reason: Instruction limit
% 0.63/0.43 % (3834284)Termination phase: Property scanning
% 0.63/0.43 % (3834284)Time elapsed: 0.017 s
% 0.63/0.43 % (3834284)Peak memory usage: 11 MB
% 0.63/0.43 % (3834284)Instructions burned: 39 (million)
% 0.63/0.43 % (3834291)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1149400668:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.43 % (3834259) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3834251-3834259"...
% 0.63/0.43 % (3834295)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3745649852:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.43 % (3834288)Instruction limit reached!
% 0.63/0.43 % (3834288)------------------------------
% 0.63/0.43 % (3834288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834288)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834288)Termination reason: Instruction limit
% 0.63/0.43 % (3834288)Termination phase: shuffling
% 0.63/0.43 % (3834288)Time elapsed: 0.012 s
% 0.63/0.43 % (3834288)Peak memory usage: 10 MB
% 0.63/0.43 % (3834288)Instructions burned: 25 (million)
% 0.63/0.43 % (3834259)...printing done.
% 0.63/0.43 % (3834295)Instruction limit reached!
% 0.63/0.43 % (3834295)------------------------------
% 0.63/0.43 % (3834295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834259)Refutation found. Thanks to Tanya!
% 0.63/0.43 % SZS status Theorem for theBenchmark
% 0.63/0.43 % SZS output start Proof for theBenchmark
% 0.63/0.43 thf(type_def_5, type, set_set_set_val: $tType).
% 0.63/0.43 thf(type_def_6, type, set_set_val: $tType).
% 0.63/0.43 thf(type_def_7, type, set_val: $tType).
% 0.63/0.43 thf(type_def_8, type, val: $tType).
% 0.63/0.43 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.63/0.43 thf(func_def_0, type, uminus1961393973et_val: (set_val > set_val)).
% 0.63/0.43 thf(func_def_1, type, if_o_set_val: ($o > ($o > set_val) > ($o > set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_2, type, if_set_set_val: ($o > set_set_val > set_set_val > set_set_val)).
% 0.63/0.43 thf(func_def_3, type, if_set_val: ($o > set_val > set_val > set_val)).
% 0.63/0.43 thf(func_def_4, type, if_val: ($o > val > val > val)).
% 0.63/0.43 thf(func_def_5, type, sup_sup_set_val: (set_val > set_val > set_val)).
% 0.63/0.43 thf(func_def_6, type, ord_less_set_set_val: (set_set_val > set_set_val > $o)).
% 0.63/0.43 thf(func_def_7, type, ord_less_set_val: (set_val > set_val > $o)).
% 0.63/0.43 thf(func_def_8, type, ord_less_val: (val > val > $o)).
% 0.63/0.43 thf(func_def_9, type, ord_le1441829300et_val: (($o > $o > set_val) > ($o > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_10, type, ord_le936627147et_val: (($o > set_set_val) > ($o > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_11, type, ord_le994826475et_val: (($o > set_val) > ($o > set_val) > $o)).
% 0.63/0.43 thf(func_def_12, type, ord_less_eq_o_val: (($o > val) > ($o > val) > $o)).
% 0.63/0.43 thf(func_def_13, type, ord_le1135847966et_val: (set_set_set_val > set_set_set_val > $o)).
% 0.63/0.43 thf(func_def_14, type, ord_le1742111550et_val: (set_set_val > set_set_val > $o)).
% 0.63/0.43 thf(func_def_15, type, ord_less_eq_set_val: (set_val > set_val > $o)).
% 0.63/0.43 thf(func_def_16, type, ord_less_eq_val: (val > val > $o)).
% 0.63/0.43 thf(func_def_17, type, order_985126002et_val: ((($o > set_val) > $o) > $o > set_val)).
% 0.63/0.43 thf(func_def_18, type, order_544136439et_val: ((set_set_val > $o) > set_set_val)).
% 0.63/0.43 thf(func_def_19, type, order_1960465943et_val: ((set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_20, type, order_Greatest_val: ((val > $o) > val)).
% 0.63/0.43 thf(func_def_21, type, order_23236447al_val: ((($o > set_val) > val) > $o)).
% 0.63/0.43 thf(func_def_22, type, order_650823122et_val: ((set_set_val > set_val) > $o)).
% 0.63/0.43 thf(func_def_23, type, order_1520822002al_val: ((set_set_val > val) > $o)).
% 0.63/0.43 thf(func_def_24, type, order_1957703570et_val: ((set_val > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_25, type, order_1719375026et_val: ((set_val > set_val) > $o)).
% 0.63/0.43 thf(func_def_26, type, order_1375876562al_val: ((set_val > val) > $o)).
% 0.63/0.43 thf(func_def_27, type, order_255079095et_val: ((val > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_28, type, order_1945059954et_val: ((val > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_29, type, order_1484138386et_val: ((val > set_val) > $o)).
% 0.63/0.43 thf(func_def_30, type, order_1689798834al_val: ((val > val) > $o)).
% 0.63/0.43 thf(func_def_31, type, order_1205732848et_val: ((val > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_32, type, order_68692473et_val: ((val > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_33, type, order_99134233et_val: ((val > set_val) > $o)).
% 0.63/0.43 thf(func_def_34, type, order_1139042361al_val: ((val > val) > $o)).
% 0.63/0.43 thf(func_def_35, type, refine1593386065et_val: (($o > set_val) > ($o > set_val) > $o)).
% 0.63/0.43 thf(func_def_36, type, refine1034950713et_val: (set_set_val > set_set_val > $o)).
% 0.63/0.43 thf(func_def_37, type, refine654574649et_val: (set_val > set_val > $o)).
% 0.63/0.43 thf(func_def_38, type, refine2021912633al_val: (val > val > $o)).
% 0.63/0.43 thf(func_def_39, type, refine511606705et_val: (($o > set_val) > ($o > set_val) > $o)).
% 0.63/0.43 thf(func_def_40, type, refine1908789496et_val: (set_set_val > set_set_val > $o)).
% 0.63/0.43 thf(func_def_41, type, refine1893322264et_val: (set_val > set_val > $o)).
% 0.63/0.43 thf(func_def_42, type, refine403244856MP_val: (val > val > $o)).
% 0.63/0.43 thf(func_def_43, type, refine1924899106et_val: ((($o > set_val) > $o > set_val) > (($o > set_val) > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_44, type, refine1169396807et_val: ((($o > set_val) > set_set_val) > (set_set_val > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_45, type, refine1948536167et_val: ((($o > set_val) > set_val) > (set_val > $o > set_val) > $o)).
% 0.63/0.43 thf(func_def_46, type, refine86398879et_val: ((set_set_val > $o > set_val) > (($o > set_val) > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_47, type, refine855985034et_val: ((set_set_val > set_set_val) > (set_set_val > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_48, type, refine8163498et_val: ((set_set_val > set_val) > (set_val > set_set_val) > $o)).
% 0.63/0.43 thf(func_def_49, type, refine51544255et_val: ((set_val > $o > set_val) > (($o > set_val) > set_val) > $o)).
% 0.63/0.43 thf(func_def_50, type, refine1315043946et_val: ((set_val > set_set_val) > (set_set_val > set_val) > $o)).
% 0.63/0.43 thf(func_def_51, type, refine1929691018et_val: ((set_val > set_val) > (set_val > set_val) > $o)).
% 0.63/0.43 thf(func_def_52, type, refine2057434761et_val: ((set_val > set_val) > $o)).
% 0.63/0.43 thf(func_def_53, type, refine16560100et_val: ((($o > set_val) > ($o > set_val) > $o) > $o)).
% 0.63/0.43 thf(func_def_54, type, refine1506227973et_val: ((set_set_val > set_set_val > $o) > $o)).
% 0.63/0.43 thf(func_def_55, type, refine275900453et_val: ((set_val > set_val > $o) > $o)).
% 0.63/0.43 thf(func_def_56, type, refine67622213oc_val: ((val > val > $o) > $o)).
% 0.63/0.43 thf(func_def_57, type, collect_set_val: ((set_val > $o) > set_set_val)).
% 0.63/0.43 thf(func_def_58, type, collect_val: ((val > $o) > set_val)).
% 0.63/0.43 thf(func_def_59, type, set_or1554624499et_val: (set_val > set_val > set_set_val)).
% 0.63/0.43 thf(func_def_60, type, set_or18208019st_val: (val > val > set_val)).
% 0.63/0.43 thf(func_def_61, type, set_or1337784553et_val: (set_set_val > set_set_set_val)).
% 0.63/0.43 thf(func_def_62, type, set_or650197513et_val: (set_val > set_set_val)).
% 0.63/0.43 thf(func_def_63, type, set_ord_atLeast_val: (val > set_val)).
% 0.63/0.43 thf(func_def_64, type, set_or867701765et_val: (set_val > set_set_val)).
% 0.63/0.43 thf(func_def_65, type, set_ord_atMost_val: (val > set_val)).
% 0.63/0.43 thf(func_def_66, type, set_or2126567818an_val: (val > val > set_val)).
% 0.63/0.43 thf(func_def_67, type, set_or1288365508an_val: (val > set_val)).
% 0.63/0.43 thf(func_def_68, type, set_ord_lessThan_val: (val > set_val)).
% 0.63/0.43 thf(func_def_69, type, member_set_val: (set_val > set_set_val > $o)).
% 0.63/0.43 thf(func_def_70, type, member_val: (val > set_val > $o)).
% 0.63/0.43 thf(func_def_71, type, p: set_val).
% 0.63/0.43 thf(func_def_72, type, scc: set_val).
% 0.63/0.43 thf(func_def_76, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.43 thf(func_def_77, type, db0: !>[X0: $tType]:(X0)).
% 0.63/0.43 thf(func_def_78, type, db2: !>[X0: $tType]:(X0)).
% 0.63/0.43 thf(func_def_79, type, db1: !>[X0: $tType]:(X0)).
% 0.63/0.43 thf(func_def_80, type, db3: !>[X0: $tType]:(X0)).
% 0.63/0.43 thf(func_def_81, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.43 thf(func_def_82, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.63/0.43 thf(func_def_83, type, vIMP: ($o > $o > $o)).
% 0.63/0.43 thf(func_def_84, type, vAND: ($o > $o > $o)).
% 0.63/0.43 thf(func_def_85, type, vNOT: ($o > $o)).
% 0.63/0.43 thf(func_def_86, type, vOR: ($o > $o > $o)).
% 0.63/0.43 thf(func_def_87, type, sP0: (val > val > val > $o)).
% 0.63/0.43 thf(func_def_88, type, sP1: (val > val > val > $o)).
% 0.63/0.43 thf(func_def_89, type, sK2: ((set_set_val > set_set_val) > (set_set_val > set_set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_90, type, sK3: ((set_set_val > set_set_val) > (set_set_val > set_set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_91, type, sK4: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_92, type, sK5: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_93, type, sK6: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_94, type, sK7: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_95, type, sK8: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_96, type, sK9: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_97, type, sK10: ((($o > set_val) > $o) > (($o > set_val) > $o) > $o > set_val)).
% 0.63/0.43 thf(func_def_98, type, sK11: (($o > set_val) > (($o > set_val) > $o) > $o > set_val)).
% 0.63/0.43 thf(func_def_99, type, sK12: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_100, type, sK13: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_101, type, sK14: ((set_val > $o > set_val) > (($o > set_val) > set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_102, type, sK15: ((set_val > $o > set_val) > (($o > set_val) > set_val) > set_val)).
% 0.63/0.43 thf(func_def_103, type, sK16: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_104, type, sK17: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_105, type, sK18: (($o > set_val) > ($o > set_val) > $o)).
% 0.63/0.43 thf(func_def_106, type, sK19: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_107, type, sK20: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_108, type, sK21: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_109, type, sK22: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_110, type, sK23: ((set_val > set_set_val) > (set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_111, type, sK24: ((set_val > set_set_val) > (set_set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_112, type, sK25: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_113, type, sK26: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_114, type, sK27: (set_set_val > (set_set_val > $o) > set_set_val)).
% 0.63/0.43 thf(func_def_115, type, sK28: ((set_val > set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_116, type, sK29: (set_val > (set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_117, type, sK30: ((set_val > $o) > (set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_118, type, sK31: ((val > val > $o) > val)).
% 0.63/0.43 thf(func_def_119, type, sK32: ((val > val > $o) > val)).
% 0.63/0.43 thf(func_def_120, type, sK33: ((val > val > $o) > val)).
% 0.63/0.43 thf(func_def_121, type, sK34: ((val > val > $o) > val)).
% 0.63/0.43 thf(func_def_122, type, sK35: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_123, type, sK36: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_124, type, sK37: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_125, type, sK38: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_126, type, sK39: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_127, type, sK40: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_128, type, sK41: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_129, type, sK42: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_130, type, sK43: (set_val > set_val > val)).
% 0.63/0.43 thf(func_def_131, type, sK44: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_132, type, sK45: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_133, type, sK46: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_134, type, sK47: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_135, type, sK48: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_136, type, sK49: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_137, type, sK50: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_138, type, sK51: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_139, type, sK52: ((val > val) > val)).
% 0.63/0.43 thf(func_def_140, type, sK53: ((val > val) > val)).
% 0.63/0.43 thf(func_def_141, type, sK54: ((val > $o) > (val > $o) > val)).
% 0.63/0.43 thf(func_def_142, type, sK55: ((set_set_val > $o) > (set_set_val > $o) > set_set_val)).
% 0.63/0.43 thf(func_def_143, type, sK56: (set_set_val > (set_set_val > $o) > set_set_val)).
% 0.63/0.43 thf(func_def_144, type, sK57: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_145, type, sK58: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_146, type, sK59: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_147, type, sK60: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_148, type, sK61: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_149, type, sK62: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_150, type, sK63: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_151, type, sK64: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_152, type, sK65: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_153, type, sK66: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_154, type, sK67: ((set_val > $o) > (set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_155, type, sK68: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_156, type, sK69: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_157, type, sK70: ((val > val) > val)).
% 0.63/0.43 thf(func_def_158, type, sK71: ((val > val) > val)).
% 0.63/0.43 thf(func_def_159, type, sK72: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_160, type, sK73: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_161, type, sK74: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_162, type, sK75: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_163, type, sK76: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_164, type, sK77: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_165, type, sK78: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_166, type, sK79: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_167, type, sK80: ((val > val) > val)).
% 0.63/0.43 thf(func_def_168, type, sK81: ((val > val) > val)).
% 0.63/0.43 thf(func_def_169, type, sK82: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_170, type, sK83: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_171, type, sK84: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_172, type, sK85: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_173, type, sK86: (set_set_val > set_set_val > set_val)).
% 0.63/0.43 thf(func_def_174, type, sK87: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_175, type, sK88: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_176, type, sK89: ((set_val > set_val) > (set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_177, type, sK90: ((set_val > set_val) > (set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_178, type, sK91: ((set_set_val > $o > set_val) > (($o > set_val) > set_set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_179, type, sK92: ((set_set_val > $o > set_val) > (($o > set_val) > set_set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_180, type, sK93: ((($o > set_val) > $o > set_val) > (($o > set_val) > $o > set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_181, type, sK94: ((($o > set_val) > $o > set_val) > (($o > set_val) > $o > set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_182, type, sK95: ((val > val) > val)).
% 0.63/0.43 thf(func_def_183, type, sK96: ((val > val) > val)).
% 0.63/0.43 thf(func_def_184, type, sK97: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_185, type, sK98: ((($o > set_val) > val) > $o > set_val)).
% 0.63/0.43 thf(func_def_186, type, sK99: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_187, type, sK100: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_188, type, sK101: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_189, type, sK102: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_190, type, sK103: ((val > $o) > (val > $o) > val)).
% 0.63/0.43 thf(func_def_191, type, sK104: ((val > $o) > val > val)).
% 0.63/0.43 thf(func_def_192, type, sK105: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_193, type, sK106: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_194, type, sK107: ((set_set_val > set_val) > (set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_195, type, sK108: ((set_set_val > set_val) > (set_val > set_set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_196, type, sK109: ((val > $o) > (val > $o) > val)).
% 0.63/0.43 thf(func_def_197, type, sK110: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_198, type, sK111: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_199, type, sK112: ((val > val) > val)).
% 0.63/0.43 thf(func_def_200, type, sK113: ((val > val) > val)).
% 0.63/0.43 thf(func_def_201, type, sK114: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_202, type, sK115: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_203, type, sK116: ((set_set_val > $o > set_val) > (($o > set_val) > set_set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_204, type, sK117: ((set_set_val > $o > set_val) > (($o > set_val) > set_set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_205, type, sK118: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_206, type, sK119: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_207, type, sK120: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_208, type, sK121: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_209, type, sK122: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_210, type, sK123: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_211, type, sK124: ((set_val > set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_212, type, sK125: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_213, type, sK126: ((set_set_val > val) > set_set_val)).
% 0.63/0.43 thf(func_def_214, type, sK127: ((set_val > $o) > (set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_215, type, sK128: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_216, type, sK129: ((set_val > val) > set_val)).
% 0.63/0.43 thf(func_def_217, type, sK130: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_218, type, sK131: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_219, type, sK132: (set_set_val > (set_val > $o) > set_val)).
% 0.63/0.43 thf(func_def_220, type, sK133: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_221, type, sK134: ((val > set_set_val) > val)).
% 0.63/0.43 thf(func_def_222, type, sK135: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_223, type, sK136: ((val > set_val) > val)).
% 0.63/0.43 thf(func_def_224, type, sK137: ((val > $o) > (val > $o) > val)).
% 0.63/0.43 thf(func_def_225, type, sK138: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_226, type, sK139: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_227, type, sK140: (set_val > (val > $o) > val)).
% 0.63/0.43 thf(func_def_228, type, sK141: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_229, type, sK142: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_230, type, sK143: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_231, type, sK144: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_232, type, sK145: ((($o > set_val) > set_val) > (set_val > $o > set_val) > $o > set_val)).
% 0.63/0.43 thf(func_def_233, type, sK146: ((($o > set_val) > set_val) > (set_val > $o > set_val) > set_val)).
% 0.63/0.43 thf(func_def_234, type, sK147: ((val > $o) > val > val)).
% 0.63/0.43 thf(func_def_235, type, sK148: ((set_val > $o) > set_val > set_val)).
% 0.63/0.43 thf(func_def_236, type, sK149: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_237, type, sK150: ((set_val > set_set_val) > set_val)).
% 0.63/0.43 thf(func_def_238, type, sK151: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_239, type, sK152: ((set_val > set_val) > set_val)).
% 0.63/0.43 thf(func_def_240, type, sK153: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_241, type, sK154: ((val > $o > set_val) > val)).
% 0.63/0.43 thf(func_def_242, type, sK155: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_243, type, sK156: ((set_set_val > set_val) > set_set_val)).
% 0.63/0.43 thf(func_def_244, type, sK157: (($o > set_val) > (($o > set_val) > $o) > $o > set_val)).
% 0.63/0.43 thf(f1,axiom,(
% 0.63/0.43 ! [X0 : val] : ((member_val @ X0 @ scc) => (member_val @ X0 @ p))),
% 0.63/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062x_O_Ax_A_092_060in_062_Ascc_A_092_060Longrightarrow_062_Ax_A_092_060in_062_AP_092_060close_062)).
% 0.63/0.43 thf(f3,axiom,(
% 0.63/0.43 ! [X1 : set_val,X0 : set_val] : (! [X2 : val] : ((member_val @ X2 @ X0) => (member_val @ X2 @ X1)) => (ord_less_eq_set_val @ X0 @ X1))),
% 0.63/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_subsetI)).
% 0.63/0.43 thf(f360,conjecture,(
% 0.63/0.43 (ord_less_eq_set_val @ scc @ p)),
% 0.63/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.63/0.43 thf(f361,negated_conjecture,(
% 0.63/0.43 ~(ord_less_eq_set_val @ scc @ p)),
% 0.63/0.43 inference(negated_conjecture,[status(cth)],[f360])).
% 0.63/0.43 thf(f479,plain,(
% 0.63/0.43 ! [X0 : val] : ((member_val @ X0 @ scc) => (member_val @ X0 @ p))),
% 0.63/0.43 inference(rectify,[],[f1])).
% 0.63/0.43 thf(f480,plain,(
% 0.63/0.43 ! [X0 : val] : ((((member_val @ X0 @ scc)) = $true) => (((member_val @ X0 @ p)) = $true))),
% 0.63/0.43 inference(fool_elimination,[],[f479])).
% 0.63/0.43 thf(f536,plain,(
% 0.63/0.43 ! [X0 : set_val,X1 : set_val] : (! [X2 : val] : ((member_val @ X2 @ X1) => (member_val @ X2 @ X0)) => (ord_less_eq_set_val @ X1 @ X0))),
% 0.63/0.43 inference(rectify,[],[f3])).
% 0.63/0.43 thf(f537,plain,(
% 0.63/0.43 ! [X0 : set_val,X1 : set_val] : (! [X2 : val] : ((((member_val @ X2 @ X1)) = $true) => (((member_val @ X2 @ X0)) = $true)) => (((ord_less_eq_set_val @ X1 @ X0)) = $true))),
% 0.63/0.43 inference(fool_elimination,[],[f536])).
% 0.63/0.43 thf(f720,plain,(
% 0.63/0.43 ~(ord_less_eq_set_val @ scc @ p)),
% 0.63/0.43 inference(rectify,[],[f361])).
% 0.63/0.43 thf(f721,plain,(
% 0.63/0.43 ~ (((ord_less_eq_set_val @ scc @ p)) = $true)),
% 0.63/0.43 inference(fool_elimination,[],[f720])).
% 0.63/0.43 thf(f1053,plain,(
% 0.63/0.43 (((ord_less_eq_set_val @ scc @ p)) != $true)),
% 0.63/0.43 inference(flattening,[],[f721])).
% 0.63/0.43 thf(f1110,plain,(
% 0.63/0.43 ! [X0 : val] : ((((member_val @ X0 @ scc)) != $true) | (((member_val @ X0 @ p)) = $true))),
% 0.63/0.43 inference(ennf_transformation,[],[f480])).
% 0.63/0.43 thf(f1164,plain,(
% 0.63/0.43 ! [X1 : set_val,X0 : set_val] : (? [X2 : val] : ((((member_val @ X2 @ X1)) = $true) & (((member_val @ X2 @ X0)) != $true)) | (((ord_less_eq_set_val @ X1 @ X0)) = $true))),
% 0.63/0.43 inference(ennf_transformation,[],[f537])).
% 0.63/0.43 thf(f1546,plain,(
% 0.63/0.43 ! [X0 : set_val,X1 : set_val] : (? [X2 : val] : ((((member_val @ X2 @ X0)) = $true) & (((member_val @ X2 @ X1)) != $true)) | (((ord_less_eq_set_val @ X0 @ X1)) = $true))),
% 0.63/0.43 inference(rectify,[],[f1164])).
% 0.63/0.43 thf(f1547,plain,(
% 0.63/0.43 ! [X0 : set_val,X1 : set_val] : (((((member_val @ (sK43 @ X1 @ X0) @ X0)) = $true) & (((member_val @ (sK43 @ X1 @ X0) @ X1)) != $true)) | (((ord_less_eq_set_val @ X0 @ X1)) = $true))),
% 0.63/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK3 @ X1 @ X0)],[f1546])).
% 0.63/0.43 thf(f1930,plain,(
% 0.63/0.43 (((ord_less_eq_set_val @ scc @ p)) != $true)),
% 0.63/0.43 inference(cnf_transformation,[],[f1053])).
% 0.63/0.43 thf(f1942,plain,(
% 0.63/0.43 ( ! [X0 : set_val,X1 : set_val] : ((((member_val @ (sK43 @ X1 @ X0) @ X1)) != $true) | (((ord_less_eq_set_val @ X0 @ X1)) = $true)) )),
% 0.63/0.43 inference(cnf_transformation,[],[f1547])).
% 0.63/0.43 thf(f1943,plain,(
% 0.63/0.43 ( ! [X0 : set_val,X1 : set_val] : ((((member_val @ (sK43 @ X1 @ X0) @ X0)) = $true) | (((ord_less_eq_set_val @ X0 @ X1)) = $true)) )),
% 0.63/0.43 inference(cnf_transformation,[],[f1547])).
% 0.63/0.43 thf(f2005,plain,(
% 0.63/0.43 ( ! [X0 : val] : ((((member_val @ X0 @ p)) = $true) | (((member_val @ X0 @ scc)) != $true)) )),
% 0.63/0.43 inference(cnf_transformation,[],[f1110])).
% 0.63/0.43 thf(f2672,definition,(
% 0.63/0.43 spl158_25 <=> (((ord_less_eq_set_val @ scc @ p)) = $true)),
% 0.63/0.43 introduced(definition,[new_symbols(definition,[spl158_25])],[avatar_definition])).
% 0.63/0.43 thf(f2674,plain,(
% 0.63/0.43 (((ord_less_eq_set_val @ scc @ p)) != $true) | spl158_25),
% 0.63/0.43 inference(avatar_component_clause,[],[f2672])).
% 0.63/0.43 thf(f2675,plain,(
% 0.63/0.43 ~spl158_25),
% 0.63/0.43 inference(avatar_split_clause,[],[f1930,f2672])).
% 0.63/0.43 thf(f2860,plain,(
% 0.63/0.43 ( ! [X0 : set_val] : (($true != $true) | (((ord_less_eq_set_val @ X0 @ p)) = $true) | ($true != ((member_val @ (sK43 @ p @ X0) @ scc)))) )),
% 0.63/0.43 inference(superposition,[],[f1942,f2005])).
% 0.63/0.43 thf(f2863,plain,(
% 0.63/0.43 ( ! [X0 : set_val] : (($true != ((member_val @ (sK43 @ p @ X0) @ scc))) | (((ord_less_eq_set_val @ X0 @ p)) = $true)) )),
% 0.63/0.43 inference(trivial_inequality_removal,[],[f2860])).
% 0.63/0.43 thf(f2879,plain,(
% 0.63/0.43 ($true != $true) | (((ord_less_eq_set_val @ scc @ p)) = $true) | (((ord_less_eq_set_val @ scc @ p)) = $true)),
% 0.63/0.43 inference(superposition,[],[f2863,f1943])).
% 0.63/0.43 thf(f2880,plain,(
% 0.63/0.43 (((ord_less_eq_set_val @ scc @ p)) = $true) | ($true != $true)),
% 0.63/0.43 inference(duplicate_literal_removal,[],[f2879])).
% 0.63/0.43 thf(f2881,plain,(
% 0.63/0.43 (((ord_less_eq_set_val @ scc @ p)) = $true)),
% 0.63/0.43 inference(trivial_inequality_removal,[],[f2880])).
% 0.63/0.43 thf(f2882,plain,(
% 0.63/0.43 $false | spl158_25),
% 0.63/0.43 inference(forward_subsumption_resolution,[],[f2881,f2674])).
% 0.63/0.43 thf(f2883,plain,(
% 0.63/0.43 spl158_25),
% 0.63/0.43 inference(avatar_contradiction_clause,[],[f2882])).
% 0.63/0.43 cnf(s28, plain, ~spl158_25, inference(sat_conversion,[],[f2675])).
% 0.63/0.43 cnf(s62, plain, spl158_25, inference(sat_conversion,[],[f2883])).
% 0.63/0.43 cnf(s63, plain, $false, inference(rat,[],[s28,s62])).
% 0.63/0.43 thf(f2884,plain,(
% 0.63/0.43 $false),
% 0.63/0.43 inference(avatar_sat_refutation,[],[s63])).
% 0.63/0.43 % SZS output end Proof for theBenchmark
% 0.63/0.43 % (3834259)------------------------------
% 0.63/0.43 % (3834259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3834259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3834259)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3834259)Termination reason: Refutation
% 0.63/0.43 % (3834259)Time elapsed: 0.094 s
% 0.63/0.43 % (3834259)Peak memory usage: 15 MB
% 0.63/0.43 % (3834259)Instructions burned: 202 (million)
% 0.63/0.43 % (3834251)Success in time 0.154 s
% 0.63/0.43 % Vampire exiting
%------------------------------------------------------------------------------