%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT284^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 07:48:42 AM UTC 2026
% Result : Theorem 3.64s 0.92s
% Output : Refutation 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT284^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n008.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 18:20:39 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 Running higher-order theorem proving
% 0.26/0.30 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
% 0.73/0.48 % (3538447)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.48 % (3538452)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2437800164:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.48 % (3538458)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.48 % (3538458)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
% 0.73/0.48 % (3538453)lrs+10_16_si=on:nwc=1.5:random_seed=3221630557:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.48 % (3538455)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=4062795484: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)
% 0.73/0.48 % (3538454)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4040630464:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.48 % (3538457)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1253226390:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.48 % (3538458)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=3142932156:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.48 % (3538456)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2058674764:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.48 % (3538454)Instruction limit reached!
% 0.73/0.48 % (3538454)------------------------------
% 0.73/0.48 % (3538454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.48 % (3538454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.48 % (3538454)CaDiCaL version: 2.1.3
% 0.73/0.48 % (3538454)Termination reason: Instruction limit
% 0.73/0.48 % (3538454)Termination phase: Saturation
% 0.73/0.48 % (3538454)Time elapsed: 0.005 s
% 0.73/0.48 % (3538454)Peak memory usage: 12 MB
% 0.73/0.48 % (3538454)Instructions burned: 4 (million)
% 0.73/0.48 % (3538453)Instruction limit reached!
% 0.73/0.48 % (3538453)------------------------------
% 0.73/0.48 % (3538453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.48 % (3538453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.48 % (3538453)CaDiCaL version: 2.1.3
% 0.73/0.48 % (3538453)Termination reason: Instruction limit
% 0.73/0.48 % (3538453)Termination phase: Saturation
% 0.73/0.48 % (3538453)Time elapsed: 0.017 s
% 0.73/0.48 % (3538453)Peak memory usage: 12 MB
% 0.73/0.48 % (3538453)Instructions burned: 18 (million)
% 0.73/0.48 % (3538456)Instruction limit reached!
% 0.73/0.48 % (3538456)------------------------------
% 0.73/0.48 % (3538456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.48 % (3538456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.48 % (3538456)CaDiCaL version: 2.1.3
% 0.73/0.48 % (3538456)Termination reason: Instruction limit
% 0.73/0.48 % (3538456)Termination phase: Saturation
% 0.73/0.48 % (3538456)Time elapsed: 0.024 s
% 0.73/0.48 % (3538456)Peak memory usage: 12 MB
% 0.73/0.48 % (3538456)Instructions burned: 25 (million)
% 0.73/0.48 % (3538452)Instruction limit reached!
% 0.73/0.48 % (3538452)------------------------------
% 0.73/0.48 % (3538452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.48 % (3538452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.48 % (3538452)CaDiCaL version: 2.1.3
% 0.73/0.48 % (3538452)Termination reason: Instruction limit
% 0.73/0.48 % (3538452)Termination phase: Saturation
% 0.73/0.48 % (3538452)Time elapsed: 0.047 s
% 0.73/0.48 % (3538452)Peak memory usage: 13 MB
% 0.73/0.48 % (3538452)Instructions burned: 87 (million)
% 0.73/0.48 % (3538466)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=262750971:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.48 % (3538466)Instruction limit reached!
% 0.73/0.48 % (3538466)------------------------------
% 0.73/0.48 % (3538466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (3538466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (3538466)CaDiCaL version: 2.1.3
% 1.43/0.55 % (3538466)Termination reason: Instruction limit
% 1.43/0.55 % (3538466)Termination phase: Saturation
% 1.43/0.55 % (3538466)Time elapsed: 0.003 s
% 1.43/0.55 % (3538466)Peak memory usage: 12 MB
% 1.43/0.55 % (3538466)Instructions burned: 2 (million)
% 1.43/0.55 % (3538468)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.55 % (3538467)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=270704150:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.43/0.55 % (3538468)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2971932931:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.43/0.55 % (3538468)Instruction limit reached!
% 1.43/0.55 % (3538468)------------------------------
% 1.43/0.55 % (3538468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (3538468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (3538468)CaDiCaL version: 2.1.3
% 1.43/0.55 % (3538468)Termination reason: Instruction limit
% 1.43/0.55 % (3538468)Termination phase: Saturation
% 1.43/0.55 % (3538468)Time elapsed: 0.004 s
% 1.43/0.55 % (3538468)Peak memory usage: 12 MB
% 1.43/0.55 % (3538468)Instructions burned: 7 (million)
% 1.43/0.55 % (3538467)Instruction limit reached!
% 1.43/0.55 % (3538467)------------------------------
% 1.43/0.55 % (3538467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (3538467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (3538467)CaDiCaL version: 2.1.3
% 1.43/0.55 % (3538467)Termination reason: Instruction limit
% 1.43/0.55 % (3538467)Termination phase: Saturation
% 1.43/0.55 % (3538467)Time elapsed: 0.006 s
% 1.43/0.55 % (3538467)Peak memory usage: 12 MB
% 1.43/0.55 % (3538467)Instructions burned: 5 (million)
% 1.43/0.55 % (3538471)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
% 1.43/0.55 % (3538471)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.55 % (3538457)Instruction limit reached!
% 1.43/0.55 % (3538457)------------------------------
% 1.43/0.55 % (3538457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (3538457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (3538457)CaDiCaL version: 2.1.3
% 1.43/0.55 % (3538457)Termination reason: Instruction limit
% 1.43/0.55 % (3538457)Termination phase: Saturation
% 1.43/0.55 % (3538457)Time elapsed: 0.068 s
% 1.43/0.55 % (3538457)Peak memory usage: 13 MB
% 1.43/0.55 % (3538457)Instructions burned: 75 (million)
% 1.43/0.55 % (3538469)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=946915645:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.43/0.55 % (3538471)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1077492040:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.43/0.55 % (3538475)lrs+10_1_si=on:cs=on:random_seed=3581054361:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.43/0.55 % (3538474)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=1316480547:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.43/0.55 % (3538475)Instruction limit reached!
% 1.43/0.55 % (3538475)------------------------------
% 1.43/0.55 % (3538475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (3538475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (3538475)CaDiCaL version: 2.1.3
% 1.43/0.55 % (3538475)Termination reason: Instruction limit
% 1.43/0.55 % (3538475)Termination phase: Saturation
% 1.43/0.55 % (3538475)Time elapsed: 0.005 s
% 1.43/0.55 % (3538475)Peak memory usage: 12 MB
% 1.43/0.55 % (3538475)Instructions burned: 10 (million)
% 1.43/0.55 % (3538469)Instruction limit reached!
% 2.04/0.61 % (3538469)------------------------------
% 2.04/0.61 % (3538469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (3538469)CaDiCaL version: 2.1.3
% 2.04/0.61 % (3538469)Termination reason: Instruction limit
% 2.04/0.61 % (3538469)Termination phase: Saturation
% 2.04/0.61 % (3538469)Time elapsed: 0.012 s
% 2.04/0.61 % (3538469)Peak memory usage: 12 MB
% 2.04/0.61 % (3538469)Instructions burned: 12 (million)
% 2.04/0.61 % (3538481)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2359322901:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.04/0.61 % (3538477)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.04/0.61 % (3538471)Instruction limit reached!
% 2.04/0.61 % (3538471)------------------------------
% 2.04/0.61 % (3538471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (3538471)CaDiCaL version: 2.1.3
% 2.04/0.61 % (3538471)Termination reason: Instruction limit
% 2.04/0.61 % (3538471)Termination phase: Saturation
% 2.04/0.61 % (3538471)Time elapsed: 0.026 s
% 2.04/0.61 % (3538471)Peak memory usage: 12 MB
% 2.04/0.61 % (3538471)Instructions burned: 29 (million)
% 2.04/0.61 % (3538477)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=2381663706:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.04/0.61 % (3538477)Instruction limit reached!
% 2.04/0.61 % (3538477)------------------------------
% 2.04/0.61 % (3538477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (3538477)CaDiCaL version: 2.1.3
% 2.04/0.61 % (3538477)Termination reason: Instruction limit
% 2.04/0.61 % (3538477)Termination phase: Saturation
% 2.04/0.61 % (3538477)Time elapsed: 0.003 s
% 2.04/0.61 % (3538477)Peak memory usage: 12 MB
% 2.04/0.61 % (3538477)Instructions burned: 3 (million)
% 2.04/0.61 % (3538481)Instruction limit reached!
% 2.04/0.61 % (3538481)------------------------------
% 2.04/0.61 % (3538481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (3538481)CaDiCaL version: 2.1.3
% 2.04/0.61 % (3538481)Termination reason: Instruction limit
% 2.04/0.61 % (3538481)Termination phase: Saturation
% 2.04/0.61 % (3538481)Time elapsed: 0.017 s
% 2.04/0.61 % (3538481)Peak memory usage: 12 MB
% 2.04/0.61 % (3538481)Instructions burned: 39 (million)
% 2.04/0.61 % (3538482)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4268429364:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.04/0.61 % (3538484)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=551344313:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.04/0.61 % (3538487)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1782680379:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.04/0.61 % (3538474)Instruction limit reached!
% 2.04/0.61 % (3538474)------------------------------
% 2.04/0.61 % (3538474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (3538474)CaDiCaL version: 2.1.3
% 2.04/0.61 % (3538474)Termination reason: Instruction limit
% 2.04/0.61 % (3538474)Termination phase: Saturation
% 2.04/0.61 % (3538474)Time elapsed: 0.060 s
% 2.04/0.61 % (3538474)Peak memory usage: 12 MB
% 2.04/0.61 % (3538474)Instructions burned: 86 (million)
% 2.04/0.61 % (3538486)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1296478039:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.61 % (3538458)Instruction limit reached!
% 2.04/0.61 % (3538458)------------------------------
% 2.04/0.61 % (3538458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (3538458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538458)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538458)Termination reason: Instruction limit
% 2.48/0.67 % (3538458)Termination phase: Saturation
% 2.48/0.67 % (3538458)Time elapsed: 0.139 s
% 2.48/0.67 % (3538458)Peak memory usage: 12 MB
% 2.48/0.67 % (3538458)Instructions burned: 160 (million)
% 2.48/0.67 % (3538484)Instruction limit reached!
% 2.48/0.67 % (3538484)------------------------------
% 2.48/0.67 % (3538484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.67 % (3538484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538484)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538484)Termination reason: Instruction limit
% 2.48/0.67 % (3538484)Termination phase: Saturation
% 2.48/0.67 % (3538484)Time elapsed: 0.027 s
% 2.48/0.67 % (3538484)Peak memory usage: 12 MB
% 2.48/0.67 % (3538484)Instructions burned: 26 (million)
% 2.48/0.67 % (3538486)Instruction limit reached!
% 2.48/0.67 % (3538486)------------------------------
% 2.48/0.67 % (3538486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.67 % (3538486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538486)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538486)Termination reason: Instruction limit
% 2.48/0.67 % (3538486)Termination phase: Saturation
% 2.48/0.67 % (3538486)Time elapsed: 0.015 s
% 2.48/0.67 % (3538486)Peak memory usage: 12 MB
% 2.48/0.67 % (3538486)Instructions burned: 14 (million)
% 2.48/0.67 % (3538491)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1906454835:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.48/0.67 % (3538494)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=61896712:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.48/0.67 % (3538493)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3598252214:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.48/0.67 % (3538493)Instruction limit reached!
% 2.48/0.67 % (3538493)------------------------------
% 2.48/0.67 % (3538493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.67 % (3538493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538493)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538493)Termination reason: Instruction limit
% 2.48/0.67 % (3538493)Termination phase: Saturation
% 2.48/0.67 % (3538493)Time elapsed: 0.003 s
% 2.48/0.67 % (3538493)Peak memory usage: 11 MB
% 2.48/0.67 % (3538493)Instructions burned: 2 (million)
% 2.48/0.67 % (3538491)Instruction limit reached!
% 2.48/0.67 % (3538491)------------------------------
% 2.48/0.67 % (3538491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.67 % (3538491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538491)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538491)Termination reason: Instruction limit
% 2.48/0.67 % (3538491)Termination phase: Saturation
% 2.48/0.67 % (3538491)Time elapsed: 0.014 s
% 2.48/0.67 % (3538491)Peak memory usage: 12 MB
% 2.48/0.67 % (3538491)Instructions burned: 14 (million)
% 2.48/0.67 % (3538495)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3459495352:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.48/0.67 % (3538494)Instruction limit reached!
% 2.48/0.67 % (3538494)------------------------------
% 2.48/0.67 % (3538494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.67 % (3538494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.67 % (3538494)CaDiCaL version: 2.1.3
% 2.48/0.67 % (3538494)Termination reason: Instruction limit
% 2.48/0.67 % (3538494)Termination phase: Saturation
% 2.48/0.67 % (3538494)Time elapsed: 0.021 s
% 2.48/0.67 % (3538494)Peak memory usage: 12 MB
% 2.48/0.67 % (3538494)Instructions burned: 27 (million)
% 2.48/0.67 % (3538500)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
% 2.48/0.67 % (3538500)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.48/0.67 % (3538500)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=2170929727:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.64/0.77 % (3538495)Instruction limit reached!
% 2.64/0.77 % (3538495)------------------------------
% 2.64/0.77 % (3538495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538495)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538495)Termination reason: Instruction limit
% 2.64/0.77 % (3538495)Termination phase: Saturation
% 2.64/0.77 % (3538495)Time elapsed: 0.022 s
% 2.64/0.77 % (3538495)Peak memory usage: 12 MB
% 2.64/0.77 % (3538495)Instructions burned: 24 (million)
% 2.64/0.77 % (3538499)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=72780723:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.64/0.77 % (3538502)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.64/0.77 % (3538500)Instruction limit reached!
% 2.64/0.77 % (3538500)------------------------------
% 2.64/0.77 % (3538500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538500)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538500)Termination reason: Instruction limit
% 2.64/0.77 % (3538500)Termination phase: Saturation
% 2.64/0.77 % (3538500)Time elapsed: 0.017 s
% 2.64/0.77 % (3538500)Peak memory usage: 12 MB
% 2.64/0.77 % (3538500)Instructions burned: 15 (million)
% 2.64/0.77 % (3538502)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=728001252:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.64/0.77 % (3538502)Instruction limit reached!
% 2.64/0.77 % (3538502)------------------------------
% 2.64/0.77 % (3538502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538502)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538502)Termination reason: Instruction limit
% 2.64/0.77 % (3538502)Termination phase: Saturation
% 2.64/0.77 % (3538502)Time elapsed: 0.009 s
% 2.64/0.77 % (3538502)Peak memory usage: 12 MB
% 2.64/0.77 % (3538502)Instructions burned: 8 (million)
% 2.64/0.77 % (3538504)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=2471142043:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.64/0.77 % (3538506)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1887572331:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.64/0.77 % (3538499)Instruction limit reached!
% 2.64/0.77 % (3538499)------------------------------
% 2.64/0.77 % (3538499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538499)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538499)Termination reason: Instruction limit
% 2.64/0.77 % (3538499)Termination phase: Saturation
% 2.64/0.77 % (3538499)Time elapsed: 0.054 s
% 2.64/0.77 % (3538499)Peak memory usage: 12 MB
% 2.64/0.77 % (3538499)Instructions burned: 61 (million)
% 2.64/0.77 % (3538506)Instruction limit reached!
% 2.64/0.77 % (3538506)------------------------------
% 2.64/0.77 % (3538506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538506)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538506)Termination reason: Instruction limit
% 2.64/0.77 % (3538506)Termination phase: Saturation
% 2.64/0.77 % (3538506)Time elapsed: 0.007 s
% 2.64/0.77 % (3538506)Peak memory usage: 12 MB
% 2.64/0.77 % (3538506)Instructions burned: 7 (million)
% 2.64/0.77 % (3538504)Instruction limit reached!
% 2.64/0.77 % (3538504)------------------------------
% 2.64/0.77 % (3538504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.77 % (3538504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.77 % (3538504)CaDiCaL version: 2.1.3
% 2.64/0.77 % (3538504)Termination reason: Instruction limit
% 2.64/0.77 % (3538504)Termination phase: Saturation
% 2.64/0.77 % (3538504)Time elapsed: 0.028 s
% 2.64/0.77 % (3538504)Peak memory usage: 12 MB
% 2.64/0.77 % (3538504)Instructions burned: 31 (million)
% 3.21/0.85 % (3538508)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2435847217:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.21/0.85 % (3538487)Instruction limit reached!
% 3.21/0.85 % (3538487)------------------------------
% 3.21/0.85 % (3538487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (3538487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (3538487)CaDiCaL version: 2.1.3
% 3.21/0.85 % (3538487)Termination reason: Instruction limit
% 3.21/0.85 % (3538487)Termination phase: Saturation
% 3.21/0.85 % (3538487)Time elapsed: 0.152 s
% 3.21/0.85 % (3538487)Peak memory usage: 13 MB
% 3.21/0.85 % (3538487)Instructions burned: 329 (million)
% 3.21/0.85 % (3538511)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3394184228:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 3.21/0.85 % (3538508)Instruction limit reached!
% 3.21/0.85 % (3538508)------------------------------
% 3.21/0.85 % (3538508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (3538508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (3538508)CaDiCaL version: 2.1.3
% 3.21/0.85 % (3538508)Termination reason: Instruction limit
% 3.21/0.85 % (3538508)Termination phase: Saturation
% 3.21/0.85 % (3538508)Time elapsed: 0.019 s
% 3.21/0.85 % (3538508)Peak memory usage: 12 MB
% 3.21/0.85 % (3538508)Instructions burned: 24 (million)
% 3.21/0.85 % (3538512)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2027005153:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.21/0.85 % (3538511)Instruction limit reached!
% 3.21/0.85 % (3538511)------------------------------
% 3.21/0.85 % (3538511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (3538511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (3538511)CaDiCaL version: 2.1.3
% 3.21/0.85 % (3538511)Termination reason: Instruction limit
% 3.21/0.85 % (3538511)Termination phase: Saturation
% 3.21/0.85 % (3538511)Time elapsed: 0.013 s
% 3.21/0.85 % (3538511)Peak memory usage: 13 MB
% 3.21/0.85 % (3538511)Instructions burned: 20 (million)
% 3.21/0.85 % (3538482)Instruction limit reached!
% 3.21/0.85 % (3538482)------------------------------
% 3.21/0.85 % (3538482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (3538482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (3538482)CaDiCaL version: 2.1.3
% 3.21/0.85 % (3538482)Termination reason: Instruction limit
% 3.21/0.85 % (3538482)Termination phase: Saturation
% 3.21/0.85 % (3538482)Time elapsed: 0.188 s
% 3.21/0.85 % (3538482)Peak memory usage: 13 MB
% 3.21/0.85 % (3538482)Instructions burned: 251 (million)
% 3.21/0.85 % (3538514)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3472616397:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.21/0.85 % (3538517)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1364320380:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.21/0.85 % (3538515)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3752850953:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.21/0.85 % (3538520)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1323278360:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.21/0.85 % (3538519)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.21/0.85 % (3538517)Instruction limit reached!
% 3.21/0.85 % (3538517)------------------------------
% 3.21/0.85 % (3538517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (3538517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (3538517)CaDiCaL version: 2.1.3
% 3.21/0.85 % (3538517)Termination reason: Instruction limit
% 3.21/0.85 % (3538517)Termination phase: Saturation
% 3.21/0.85 % (3538517)Time elapsed: 0.020 s
% 3.21/0.85 % (3538517)Peak memory usage: 12 MB
% 3.21/0.85 % (3538517)Instructions burned: 42 (million)
% 3.21/0.85 % (3538519)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=599458810:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.64/0.92 % (3538519)Instruction limit reached!
% 3.64/0.92 % (3538519)------------------------------
% 3.64/0.92 % (3538519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538519)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538519)Termination reason: Instruction limit
% 3.64/0.92 % (3538519)Termination phase: Saturation
% 3.64/0.92 % (3538519)Time elapsed: 0.007 s
% 3.64/0.92 % (3538519)Peak memory usage: 12 MB
% 3.64/0.92 % (3538519)Instructions burned: 7 (million)
% 3.64/0.92 % (3538527)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.64/0.92 % (3538527)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3348746378:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.64/0.92 % (3538527)Instruction limit reached!
% 3.64/0.92 % (3538527)------------------------------
% 3.64/0.92 % (3538527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538527)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538527)Termination reason: Instruction limit
% 3.64/0.92 % (3538527)Termination phase: Saturation
% 3.64/0.92 % (3538527)Time elapsed: 0.004 s
% 3.64/0.92 % (3538527)Peak memory usage: 12 MB
% 3.64/0.92 % (3538527)Instructions burned: 8 (million)
% 3.64/0.92 % (3538525)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=1089885492:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.64/0.92 % (3538525)Refutation not found, incomplete strategy
% 3.64/0.92 % (3538525)------------------------------
% 3.64/0.92 % (3538525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538525)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538525)Termination reason: Refutation not found, incomplete strategy
% 3.64/0.92 % (3538525)Time elapsed: 0.003 s
% 3.64/0.92 % (3538525)Peak memory usage: 12 MB
% 3.64/0.92 % (3538525)Instructions burned: 2 (million)
% 3.64/0.92 % (3538525)------------------------------
% 3.64/0.92 % (3538525)------------------------------
% 3.64/0.92 % (3538530)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2268923474:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.64/0.92 % (3538531)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2394768814:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.64/0.92 % (3538531)Refutation not found, incomplete strategy
% 3.64/0.92 % (3538531)------------------------------
% 3.64/0.92 % (3538531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538531)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538531)Termination reason: Refutation not found, incomplete strategy
% 3.64/0.92 % (3538531)Time elapsed: 0.003 s
% 3.64/0.92 % (3538531)Peak memory usage: 12 MB
% 3.64/0.92 % (3538531)Instructions burned: 3 (million)
% 3.64/0.92 % (3538530)Instruction limit reached!
% 3.64/0.92 % (3538530)------------------------------
% 3.64/0.92 % (3538530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538530)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538530)Termination reason: Instruction limit
% 3.64/0.92 % (3538530)Termination phase: Saturation
% 3.64/0.92 % (3538530)Time elapsed: 0.011 s
% 3.64/0.92 % (3538530)Peak memory usage: 12 MB
% 3.64/0.92 % (3538530)Instructions burned: 23 (million)
% 3.64/0.92 % (3538531)------------------------------
% 3.64/0.92 % (3538531)------------------------------
% 3.64/0.92 % (3538534)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=3719636632:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.64/0.92 % (3538514)Instruction limit reached!
% 3.64/0.92 % (3538514)------------------------------
% 3.64/0.92 % (3538514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538514)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538514)Termination reason: Instruction limit
% 3.64/0.92 % (3538514)Termination phase: Saturation
% 3.64/0.92 % (3538514)Time elapsed: 0.125 s
% 3.64/0.92 % (3538514)Peak memory usage: 13 MB
% 3.64/0.92 % (3538514)Instructions burned: 144 (million)
% 3.64/0.92 % (3538535)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=673576320:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.64/0.92 % (3538515)Instruction limit reached!
% 3.64/0.92 % (3538515)------------------------------
% 3.64/0.92 % (3538515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538515)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538515)Termination reason: Instruction limit
% 3.64/0.92 % (3538515)Termination phase: Saturation
% 3.64/0.92 % (3538515)Time elapsed: 0.144 s
% 3.64/0.92 % (3538515)Peak memory usage: 13 MB
% 3.64/0.92 % (3538515)Instructions burned: 194 (million)
% 3.64/0.92 % (3538538)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=1737692433:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.64/0.92 % (3538520)Instruction limit reached!
% 3.64/0.92 % (3538520)------------------------------
% 3.64/0.92 % (3538520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538520)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538520)Termination reason: Instruction limit
% 3.64/0.92 % (3538520)Termination phase: Saturation
% 3.64/0.92 % (3538520)Time elapsed: 0.141 s
% 3.64/0.92 % (3538520)Peak memory usage: 13 MB
% 3.64/0.92 % (3538520)Instructions burned: 181 (million)
% 3.64/0.92 % (3538539)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1773136040:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.64/0.92 % (3538539)Refutation not found, incomplete strategy
% 3.64/0.92 % (3538539)------------------------------
% 3.64/0.92 % (3538539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538539)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538539)Termination reason: Refutation not found, incomplete strategy
% 3.64/0.92 % (3538539)Time elapsed: 0.002 s
% 3.64/0.92 % (3538539)Peak memory usage: 12 MB
% 3.64/0.92 % (3538539)Instructions burned: 3 (million)
% 3.64/0.92 % (3538539)------------------------------
% 3.64/0.92 % (3538539)------------------------------
% 3.64/0.92 % (3538541)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3992728981:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 3.64/0.92 % (3538543)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.64/0.92 % (3538543)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4005952755:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 3.64/0.92 % (3538541)Instruction limit reached!
% 3.64/0.92 % (3538541)------------------------------
% 3.64/0.92 % (3538541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538541)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538541)Termination reason: Instruction limit
% 3.64/0.92 % (3538541)Termination phase: Saturation
% 3.64/0.92 % (3538541)Time elapsed: 0.015 s
% 3.64/0.92 % (3538541)Peak memory usage: 12 MB
% 3.64/0.92 % (3538541)Instructions burned: 22 (million)
% 3.64/0.92 % (3538538)Instruction limit reached!
% 3.64/0.92 % (3538538)------------------------------
% 3.64/0.92 % (3538538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538538)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538538)Termination reason: Instruction limit
% 3.64/0.92 % (3538538)Termination phase: Saturation
% 3.64/0.92 % (3538538)Time elapsed: 0.043 s
% 3.64/0.92 % (3538538)Peak memory usage: 12 MB
% 3.64/0.92 % (3538538)Instructions burned: 45 (million)
% 3.64/0.92 % (3538455)Instruction limit reached!
% 3.64/0.92 % (3538455)------------------------------
% 3.64/0.92 % (3538455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538455)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538455)Termination reason: Instruction limit
% 3.64/0.92 % (3538455)Termination phase: Saturation
% 3.64/0.92 % (3538455)Time elapsed: 0.520 s
% 3.64/0.92 % (3538455)Peak memory usage: 14 MB
% 3.64/0.92 % (3538455)Instructions burned: 635 (million)
% 3.64/0.92 % (3538546)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3683640239:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 3.64/0.92 % (3538546)Instruction limit reached!
% 3.64/0.92 % (3538546)------------------------------
% 3.64/0.92 % (3538546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538546)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538546)Termination reason: Instruction limit
% 3.64/0.92 % (3538546)Termination phase: Saturation
% 3.64/0.92 % (3538546)Time elapsed: 0.009 s
% 3.64/0.92 % (3538546)Peak memory usage: 12 MB
% 3.64/0.92 % (3538546)Instructions burned: 13 (million)
% 3.64/0.92 % (3538547)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=658178634:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.64/0.92 % (3538548)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=116767745:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 3.64/0.92 % (3538550)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3716768742:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 3.64/0.92 % (3538548)Refutation not found, incomplete strategy
% 3.64/0.92 % (3538548)------------------------------
% 3.64/0.92 % (3538548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538548)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538548)Termination reason: Refutation not found, incomplete strategy
% 3.64/0.92 % (3538548)Time elapsed: 0.003 s
% 3.64/0.92 % (3538548)Peak memory usage: 12 MB
% 3.64/0.92 % (3538548)Instructions burned: 2 (million)
% 3.64/0.92 % (3538548)------------------------------
% 3.64/0.92 % (3538548)------------------------------
% 3.64/0.92 % (3538543) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3538447-3538543"...
% 3.64/0.92 % (3538543)...printing done.
% 3.64/0.92 % (3538550)Instruction limit reached!
% 3.64/0.92 % (3538550)------------------------------
% 3.64/0.92 % (3538550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538550)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538550)Termination reason: Instruction limit
% 3.64/0.92 % (3538550)Termination phase: Saturation
% 3.64/0.92 % (3538550)Time elapsed: 0.018 s
% 3.64/0.92 % (3538550)Peak memory usage: 12 MB
% 3.64/0.92 % (3538550)Instructions burned: 32 (million)
% 3.64/0.92 % (3538543)Refutation found. Thanks to Tanya!
% 3.64/0.92 % SZS status Theorem for theBenchmark
% 3.64/0.92 % SZS output start Proof for theBenchmark
% 3.64/0.92 thf(type_def_5, type, 'type/nums/num': $tType).
% 3.64/0.92 thf(type_def_6, type, 'type/ind_types/list': $tType > $tType).
% 3.64/0.92 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 3.64/0.92 thf(type_def_8, type, sK0: $tType).
% 3.64/0.92 thf(func_def_0, type, 'const/nums/SUC': ('type/nums/num' > 'type/nums/num')).
% 3.64/0.92 thf(func_def_1, type, 'const/nums/NUMERAL': ('type/nums/num' > 'type/nums/num')).
% 3.64/0.92 thf(func_def_2, type, 'const/nums/BIT1': ('type/nums/num' > 'type/nums/num')).
% 3.64/0.92 thf(func_def_3, type, 'const/nums/_0': 'type/nums/num').
% 3.64/0.92 thf(func_def_4, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 3.64/0.92 thf(func_def_5, type, 'const/ind_types/CONS': !>[X0: $tType]:((X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 3.64/0.92 thf(func_def_6, type, 'const/arith/+': ('type/nums/num' > 'type/nums/num' > 'type/nums/num')).
% 3.64/0.92 thf(func_def_7, type, 'const/arith/<=': ('type/nums/num' > 'type/nums/num' > $o)).
% 3.64/0.92 thf(func_def_8, type, 'const/arith/<': ('type/nums/num' > 'type/nums/num' > $o)).
% 3.64/0.92 thf(func_def_10, type, vAND: ($o > $o > $o)).
% 3.64/0.92 thf(func_def_11, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.64/0.92 thf(func_def_12, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.64/0.92 thf(func_def_13, type, db0: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_14, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.64/0.92 thf(func_def_15, type, vNOT: ($o > $o)).
% 3.64/0.92 thf(func_def_16, type, sK1: sK0).
% 3.64/0.92 thf(func_def_17, type, sK2: 'type/ind_types/list' @ sK0).
% 3.64/0.92 thf(func_def_18, type, sK3: !>[X0: $tType, X1: $tType]:((X0 > (X1 > 'type/ind_types/list' @ X1 > X0 > X0) > 'type/ind_types/list' @ X1 > X0))).
% 3.64/0.92 thf(func_def_21, type, sK4: ('type/nums/num' > 'type/nums/num' > 'type/nums/num')).
% 3.64/0.92 thf(func_def_22, type, db1: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_23, type, db2: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_24, type, db4: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_25, type, db3: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_26, type, db5: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_27, type, db7: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(func_def_28, type, db6: !>[X0: $tType]:(X0)).
% 3.64/0.92 thf(f1,axiom,(
% 3.64/0.92 ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X0 > 'type/ind_types/list' @ X0 > X1 > X1)] : ? [X4 : ('type/ind_types/list' @ X0 > X1)] : (! [X6 : 'type/ind_types/list' @ X0,X5 : X0] : (((X4 @ ('const/ind_types/CONS' @ X0 @ X5 @ X6))) = ((X3 @ X5 @ X6 @ (X4 @ X6)))) & (((X4 @ 'const/ind_types/NIL' @ X0)) = X2))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/ind_types/list_RECURSION_')).
% 3.64/0.92 thf(f4,axiom,(
% 3.64/0.92 ! [X1 : 'type/nums/num',X0 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ X1)) = (('const/arith/+' @ X1 @ X0)))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/ADD_SYM_')).
% 3.64/0.92 thf(f5,axiom,(
% 3.64/0.92 ! [X1 : 'type/nums/num',X0 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ ('const/nums/SUC' @ X1))) = (('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/ADD_SUC_')).
% 3.64/0.92 thf(f6,axiom,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/<' @ X0 @ X1)) = ? [X2 : 'type/nums/num'] : (X1 = (('const/arith/+' @ X0 @ ('const/nums/SUC' @ X2)))))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/LT_EXISTS_')).
% 3.64/0.92 thf(f7,axiom,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/<' @ X1 @ X0)) = ~('const/arith/<=' @ X0 @ X1))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/NOT_LE_')).
% 3.64/0.92 thf(f10,axiom,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1) = (X0 = X1))),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/LE_ANTISYM_')).
% 3.64/0.92 thf(f11,conjecture,(
% 3.64/0.92 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/ind_types/CONS' @ X0 @ X1 @ X2)) != 'const/ind_types/NIL' @ X0)),
% 3.64/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/NOT_CONS_NIL_')).
% 3.64/0.92 thf(f12,negated_conjecture,(
% 3.64/0.92 ~ ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/ind_types/CONS' @ X0 @ X1 @ X2)) != 'const/ind_types/NIL' @ X0)),
% 3.64/0.92 inference(negated_conjecture,[status(cth)],[f11])).
% 3.64/0.92 thf(f13,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1) = (X0 = X1))),
% 3.64/0.92 inference(rectify,[],[f10])).
% 3.64/0.92 thf(f14,plain,(
% 3.64/0.92 ! [X1 : 'type/nums/num',X0 : 'type/nums/num'] : (((X0 = X1)) = ((('const/arith/<=' @ X0 @ X1) & ('const/arith/<=' @ X1 @ X0))))),
% 3.64/0.92 inference(fool_elimination,[],[f13])).
% 3.64/0.92 thf(f15,plain,(
% 3.64/0.92 ! [X1 : 'type/nums/num',X0 : 'type/nums/num'] : ((('const/arith/<' @ X0 @ X1)) = ((?? @ 'type/nums/num' @ (^[Y0 : 'type/nums/num']: (('const/arith/+' @ X0 @ ('const/nums/SUC' @ Y0)) = X1)))))),
% 3.64/0.92 inference(fool_elimination,[],[f6])).
% 3.64/0.92 thf(f16,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/<' @ X1 @ X0)) = ~('const/arith/<=' @ X0 @ X1))),
% 3.64/0.92 inference(rectify,[],[f7])).
% 3.64/0.92 thf(f17,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/<' @ X1 @ X0)) = ((~ ('const/arith/<=' @ X0 @ X1))))),
% 3.64/0.92 inference(fool_elimination,[],[f16])).
% 3.64/0.92 thf(f19,plain,(
% 3.64/0.92 ! [X0 : $tType,X1 : $tType,X3 : (X1 > 'type/ind_types/list' @ X1 > X0 > X0),X2 : X0] : ? [X4 : ('type/ind_types/list' @ X1 > X0)] : ((((X4 @ 'const/ind_types/NIL' @ X1)) = X2) & ! [X6 : X1,X5 : 'type/ind_types/list' @ X1] : (((X4 @ ('const/ind_types/CONS' @ X1 @ X6 @ X5))) = ((X3 @ X6 @ X5 @ (X4 @ X5)))))),
% 3.64/0.92 inference(rectify,[],[f1])).
% 3.64/0.92 thf(f20,plain,(
% 3.64/0.92 ! [X1 : 'type/nums/num',X0 : 'type/nums/num'] : ((('const/nums/SUC' @ ('const/arith/+' @ X1 @ X0))) = (('const/arith/+' @ X1 @ ('const/nums/SUC' @ X0))))),
% 3.64/0.92 inference(rectify,[],[f5])).
% 3.64/0.92 thf(f21,plain,(
% 3.64/0.92 ~ ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : X0] : ('const/ind_types/NIL' @ X0 != (('const/ind_types/CONS' @ X0 @ X2 @ X1)))),
% 3.64/0.92 inference(rectify,[],[f12])).
% 3.64/0.92 thf(f22,plain,(
% 3.64/0.92 ? [X0 : $tType,X2 : X0,X1 : 'type/ind_types/list' @ X0] : ('const/ind_types/NIL' @ X0 = (('const/ind_types/CONS' @ X0 @ X2 @ X1)))),
% 3.64/0.92 inference(ennf_transformation,[],[f21])).
% 3.64/0.92 thf(f23,plain,(
% 3.64/0.92 ? [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : ('const/ind_types/NIL' @ X0 = (('const/ind_types/CONS' @ X0 @ X1 @ X2)))),
% 3.64/0.92 inference(rectify,[],[f22])).
% 3.64/0.92 thf(f24,plain,(
% 3.64/0.92 ('const/ind_types/NIL' @ sK0 = (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2)))),
% 3.64/0.92 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23])).
% 3.64/0.92 thf(f25,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/<' @ X1 @ X0)) = ((?? @ 'type/nums/num' @ (^[Y0 : 'type/nums/num']: (('const/arith/+' @ X1 @ ('const/nums/SUC' @ Y0)) = X0)))))),
% 3.64/0.92 inference(rectify,[],[f15])).
% 3.64/0.92 thf(f26,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ ('const/nums/SUC' @ X1))) = (('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))))),
% 3.64/0.92 inference(rectify,[],[f20])).
% 3.64/0.92 thf(f27,plain,(
% 3.64/0.92 ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/ind_types/list' @ X1 > X0 > X0),X3 : X0] : ? [X4 : ('type/ind_types/list' @ X1 > X0)] : ((((X4 @ 'const/ind_types/NIL' @ X1)) = X3) & ! [X5 : X1,X6 : 'type/ind_types/list' @ X1] : (((X2 @ X5 @ X6 @ (X4 @ X6))) = ((X4 @ ('const/ind_types/CONS' @ X1 @ X5 @ X6)))))),
% 3.64/0.92 inference(rectify,[],[f19])).
% 3.64/0.92 thf(f28,plain,(
% 3.64/0.92 ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/ind_types/list' @ X1 > X0 > X0),X3 : X0] : ((((sK3 @ X0 @ X1 @ X3 @ X2 @ 'const/ind_types/NIL' @ X1)) = X3) & ! [X5 : X1,X6 : 'type/ind_types/list' @ X1] : (((X2 @ X5 @ X6 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X6))) = ((sK3 @ X0 @ X1 @ X3 @ X2 @ ('const/ind_types/CONS' @ X1 @ X5 @ X6)))))),
% 3.64/0.92 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X4,sK3 @ X0 @ X1 @ X3 @ X2)],[f27])).
% 3.64/0.92 thf(f29,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((X1 = X0)) = ((('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1))))),
% 3.64/0.92 inference(rectify,[],[f14])).
% 3.64/0.92 thf(f30,plain,(
% 3.64/0.92 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ X1)) = (('const/arith/+' @ X1 @ X0)))),
% 3.64/0.92 inference(rectify,[],[f4])).
% 3.64/0.92 thf(f32,plain,(
% 3.64/0.92 ('const/ind_types/NIL' @ sK0 = (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2)))),
% 3.64/0.92 inference(cnf_transformation,[],[f24])).
% 3.64/0.92 thf(f33,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X1 @ X0)) = ((?? @ 'type/nums/num' @ (^[Y0 : 'type/nums/num']: (('const/arith/+' @ X1 @ ('const/nums/SUC' @ Y0)) = X0)))))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f25])).
% 3.64/0.92 thf(f34,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/+' @ X0 @ ('const/nums/SUC' @ X1))) = (('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f26])).
% 3.64/0.92 thf(f36,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X1 @ X0)) = ((~ ('const/arith/<=' @ X0 @ X1))))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f17])).
% 3.64/0.92 thf(f37,plain,(
% 3.64/0.92 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > 'type/ind_types/list' @ X1 > X0 > X0),X3 : X0,X6 : 'type/ind_types/list' @ X1,X5 : X1] : ((((X2 @ X5 @ X6 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X6))) = ((sK3 @ X0 @ X1 @ X3 @ X2 @ ('const/ind_types/CONS' @ X1 @ X5 @ X6))))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f28])).
% 3.64/0.92 thf(f38,plain,(
% 3.64/0.92 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > 'type/ind_types/list' @ X1 > X0 > X0),X3 : X0] : ((((sK3 @ X0 @ X1 @ X3 @ X2 @ 'const/ind_types/NIL' @ X1)) = X3)) )),
% 3.64/0.92 inference(cnf_transformation,[],[f28])).
% 3.64/0.92 thf(f41,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((((X1 = X0)) = ((('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1))))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f29])).
% 3.64/0.92 thf(f42,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/+' @ X0 @ X1)) = (('const/arith/+' @ X1 @ X0)))) )),
% 3.64/0.92 inference(cnf_transformation,[],[f30])).
% 3.64/0.92 thf(f46,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((((~ ('const/arith/<=' @ X0 @ X1))) = $true) | ((('const/arith/<' @ X1 @ X0)) = $false)) )),
% 3.64/0.92 inference(iff_proxy_clausification,[],[f36])).
% 3.64/0.92 thf(f47,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X1 @ X0)) = $false) | ((('const/arith/<=' @ X0 @ X1)) = $false)) )),
% 3.64/0.92 inference(not_proxy_clausification,[],[f46])).
% 3.64/0.92 thf(f49,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((((?? @ 'type/nums/num' @ (^[Y0 : 'type/nums/num']: (('const/arith/+' @ X1 @ ('const/nums/SUC' @ Y0)) = X0)))) = $false) | ((('const/arith/<' @ X1 @ X0)) = $true)) )),
% 3.64/0.92 inference(iff_proxy_clausification,[],[f33])).
% 3.64/0.92 thf(f54,plain,(
% 3.64/0.92 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X1 @ X0)) = $true) | ((((^[Y0 : 'type/nums/num']: (('const/arith/+' @ X1 @ ('const/nums/SUC' @ Y0)) = X0)) @ X2)) = $false)) )),
% 3.64/0.92 inference(pi_proxy_clausification,[],[f49])).
% 3.64/0.92 thf(f55,plain,(
% 3.64/0.92 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X1 @ X0)) = $true) | ($false = ((('const/arith/+' @ X1 @ ('const/nums/SUC' @ X2)) = X0)))) )),
% 3.64/0.92 inference(beta-eta_normalization,[],[f54])).
% 3.64/0.92 thf(f56,plain,(
% 3.64/0.92 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/+' @ X1 @ ('const/nums/SUC' @ X2))) != X0) | ((('const/arith/<' @ X1 @ X0)) = $true)) )),
% 3.64/0.92 inference(equality_proxy_clausification,[],[f55])).
% 3.64/0.92 thf(f58,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((((X1 = X0)) = $false) | (((('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1))) = $true)) )),
% 3.64/0.92 inference(iff_proxy_clausification,[],[f41])).
% 3.64/0.92 thf(f59,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((((('const/arith/<=' @ X1 @ X0) & ('const/arith/<=' @ X0 @ X1))) = $true) | (X0 != X1)) )),
% 3.64/0.92 inference(equality_proxy_clausification,[],[f58])).
% 3.64/0.92 thf(f61,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<=' @ X1 @ X0)) = $true) | (X0 != X1)) )),
% 3.64/0.92 inference(and_proxy_clausification,[],[f59])).
% 3.64/0.92 thf(f76,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X0 @ ('const/arith/+' @ X0 @ ('const/nums/SUC' @ X1)))) = $true)) )),
% 3.64/0.92 inference(equality_resolution,[],[f56])).
% 3.64/0.92 thf(f78,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<' @ X0 @ ('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1)))) = $true)) )),
% 3.64/0.92 inference(forward_demodulation,[],[f76,f34])).
% 3.64/0.92 thf(f85,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (($false = $true) | ((('const/arith/<=' @ ('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1)) @ X0)) = $false)) )),
% 3.64/0.92 inference(constrained_superposition,[],[f47,f78])).
% 3.64/0.92 thf(f86,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/arith/<=' @ ('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1)) @ X0)) = $false)) )),
% 3.64/0.92 inference(trivial_inequality_removal,[],[f85])).
% 3.64/0.92 thf(f123,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (($false = $true) | ((('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))) != X0)) )),
% 3.64/0.92 inference(constrained_superposition,[],[f61,f86])).
% 3.64/0.92 thf(f124,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))) != X0)) )),
% 3.64/0.92 inference(trivial_inequality_removal,[],[f123])).
% 3.64/0.92 thf(f128,plain,(
% 3.64/0.92 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((('const/nums/SUC' @ ('const/arith/+' @ X0 @ X1))) != X1)) )),
% 3.64/0.92 inference(constrained_superposition,[],[f124,f42])).
% 3.64/0.92 thf(f159,plain,(
% 3.64/0.92 ( ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0,X1 : (X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ sK0 > sK0),X4 : 'type/ind_types/list' @ sK0] : ((sK1 != ((X1 @ X2 @ X3 @ (sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X4 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ (X1 @ Y0 @ Y1 @ Y2) @ sK2)))))) @ X3)))) | ('const/ind_types/NIL' @ sK0 = ((sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X4 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ (X1 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : X0]: ((^[Y4 : 'type/ind_types/list' @ X0]: ((^[Y5 : 'type/ind_types/list' @ sK0]: (sK2)))))) @ Y0 @ Y1 @ Y2))))))) @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))))) )),
% 3.64/0.92 inference(constrained_superposition,[],[f37,f32])).
% 3.64/0.92 thf(f212,plain,(
% 3.64/0.92 ( ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0,X1 : (X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ sK0 > sK0),X4 : 'type/ind_types/list' @ sK0] : ((sK1 != ((X1 @ X2 @ X3 @ (sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X4 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ (X1 @ Y0 @ Y1 @ Y2) @ sK2)))))) @ X3)))) | ('const/ind_types/NIL' @ sK0 = ((sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X4 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ (X1 @ Y0 @ Y1 @ Y2) @ sK2)))))) @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))))) )),
% 3.64/0.92 inference(beta-eta_normalization,[],[f159])).
% 3.64/0.92 thf(f240,plain,(
% 3.64/0.92 ( ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ sK0] : (('const/ind_types/NIL' @ sK0 = ((sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X1 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ ((^[Y3 : X0]: ((^[Y4 : 'type/ind_types/list' @ X0]: ((^[Y5 : 'type/ind_types/list' @ sK0]: (sK1)))))) @ Y0 @ Y1 @ Y2) @ sK2)))))) @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))))) )),
% 3.64/0.92 inference(equality_resolution,[],[f212])).
% 3.64/0.92 thf(f242,plain,(
% 3.64/0.92 ( ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ sK0] : (('const/ind_types/NIL' @ sK0 = ((sK3 @ 'type/ind_types/list' @ sK0 @ X0 @ X1 @ (^[Y0 : X0]: ((^[Y1 : 'type/ind_types/list' @ X0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/CONS' @ sK0 @ sK1 @ sK2)))))) @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))))) )),
% 3.64/0.92 inference(beta-eta_normalization,[],[f240])).
% 3.64/0.92 thf(f255,plain,(
% 3.64/0.92 ( ! [X0 : 'type/ind_types/list' @ sK0] : (('const/ind_types/NIL' @ sK0 = ((sK3 @ 'type/ind_types/list' @ sK0 @ sK0 @ X0 @ (^[Y0 : sK0]: ((^[Y1 : 'type/ind_types/list' @ sK0]: ((^[Y2 : 'type/ind_types/list' @ sK0]: ('const/ind_types/NIL' @ sK0)))))) @ 'const/ind_types/NIL' @ sK0)))) )),
% 3.64/0.92 inference(constrained_superposition,[],[f242,f32])).
% 3.64/0.92 thf(f269,plain,(
% 3.64/0.92 ( ! [X0 : 'type/ind_types/list' @ sK0] : (('const/ind_types/NIL' @ sK0 = X0)) )),
% 3.64/0.92 inference(forward_demodulation,[],[f255,f38])).
% 3.64/0.92 thf(f272,plain,(
% 3.64/0.92 ( ! [X1 : $tType,X2 : X1,X3 : (sK0 > 'type/ind_types/list' @ sK0 > X1 > X1),X0 : 'type/ind_types/list' @ sK0] : ((((sK3 @ X1 @ sK0 @ X2 @ X3 @ X0)) = X2)) )),
% 3.64/0.92 inference(constrained_superposition,[],[f38,f269])).
% 3.64/0.92 thf(f348,plain,(
% 3.64/0.92 ( ! [X1 : $tType,X2 : (sK0 > 'type/ind_types/list' @ sK0 > X1 > X1),X3 : sK0,X0 : X1,X4 : 'type/ind_types/list' @ sK0] : ((((X2 @ X3 @ X4 @ X0)) = ((sK3 @ X1 @ sK0 @ X0 @ X2 @ ('const/ind_types/CONS' @ sK0 @ X3 @ X4))))) )),
% 3.64/0.92 inference(constrained_superposition,[],[f37,f272])).
% 3.64/0.92 thf(f357,plain,(
% 3.64/0.92 ( ! [X1 : $tType,X2 : (sK0 > 'type/ind_types/list' @ sK0 > X1 > X1),X3 : sK0,X0 : X1,X4 : 'type/ind_types/list' @ sK0] : ((((X2 @ X3 @ X4 @ X0)) = X0)) )),
% 3.64/0.92 inference(forward_demodulation,[],[f348,f272])).
% 3.64/0.92 thf(f519,plain,(
% 3.64/0.92 ( ! [X2 : 'type/nums/num',X3 : sK0,X0 : (sK0 > 'type/ind_types/list' @ sK0 > 'type/nums/num' > 'type/nums/num'),X1 : 'type/nums/num',X6 : (sK0 > 'type/ind_types/list' @ sK0 > 'type/nums/num' > 'type/nums/num'),X4 : 'type/ind_types/list' @ sK0,X5 : 'type/nums/num'] : ((X2 != X5) | (((X6 @ X3 @ X4 @ X5)) != X1) | (((X0 @ X3 @ X4 @ X5)) != X2)) )),
% 3.64/0.92 inference(constrained_superposition,[],[f128,f357])).
% 3.64/0.92 thf(f630,plain,(
% 3.64/0.92 $false),
% 3.64/0.92 inference(flex-flex_simplification,[],[f519])).
% 3.64/0.92 % SZS output end Proof for theBenchmark
% 3.64/0.92 % (3538543)------------------------------
% 3.64/0.92 % (3538543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.92 % (3538543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.92 % (3538543)CaDiCaL version: 2.1.3
% 3.64/0.92 % (3538543)Termination reason: Refutation
% 3.64/0.92 % (3538543)Time elapsed: 0.075 s
% 3.64/0.92 % (3538543)Peak memory usage: 13 MB
% 3.64/0.92 % (3538543)Instructions burned: 160 (million)
% 3.64/0.92 % (3538447)Success in time 0.613 s
% 3.64/0.92 % Vampire exiting
%------------------------------------------------------------------------------