%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP104^2 : 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 : n004.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 08:08:22 AM UTC 2026
% Result : Theorem 0.72s 0.44s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP104^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:54:07 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.28 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
% 0.72/0.42 % (1757939)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.72/0.42 % (1757948)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2273548446:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.72/0.42 % (1757950)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.72/0.42 % (1757950)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
% 0.72/0.42 % (1757948)Instruction limit reached!
% 0.72/0.42 % (1757948)------------------------------
% 0.72/0.42 % (1757948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.42 % (1757948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.42 % (1757948)CaDiCaL version: 2.1.3
% 0.72/0.42 % (1757948)Termination reason: Instruction limit
% 0.72/0.42 % (1757948)Termination phase: Property scanning
% 0.72/0.42 % (1757948)Time elapsed: 0.006 s
% 0.72/0.42 % (1757948)Peak memory usage: 10 MB
% 0.72/0.42 % (1757948)Instructions burned: 26 (million)
% 0.72/0.42 % (1757946)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1283060224:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.72/0.42 % (1757945)lrs+10_16_si=on:nwc=1.5:random_seed=1289042805:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.72/0.42 % (1757947)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=1661839350: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)
% 0.72/0.42 % (1757949)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=420519114:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.72/0.42 % (1757944)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=108168028:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.72/0.42 % (1757950)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=2474274499:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.72/0.42 % (1757946)Instruction limit reached!
% 0.72/0.42 % (1757946)------------------------------
% 0.72/0.42 % (1757946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.42 % (1757946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.42 % (1757946)CaDiCaL version: 2.1.3
% 0.72/0.42 % (1757946)Termination reason: Instruction limit
% 0.72/0.42 % (1757946)Termination phase: shuffling
% 0.72/0.42 % (1757946)Time elapsed: 0.003 s
% 0.72/0.42 % (1757946)Peak memory usage: 10 MB
% 0.72/0.42 % (1757946)Instructions burned: 4 (million)
% 0.72/0.42 % (1757945)Instruction limit reached!
% 0.72/0.42 % (1757945)------------------------------
% 0.72/0.42 % (1757945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.42 % (1757945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.42 % (1757945)CaDiCaL version: 2.1.3
% 0.72/0.42 % (1757945)Termination reason: Instruction limit
% 0.72/0.42 % (1757945)Termination phase: Property scanning
% 0.72/0.42 % (1757945)Time elapsed: 0.010 s
% 0.72/0.42 % (1757945)Peak memory usage: 10 MB
% 0.72/0.42 % (1757945)Instructions burned: 18 (million)
% 0.72/0.42 % (1757954)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4015875266:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.72/0.42 % (1757954)Instruction limit reached!
% 0.72/0.42 % (1757954)------------------------------
% 0.72/0.42 % (1757954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.42 % (1757954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.42 % (1757954)CaDiCaL version: 2.1.3
% 0.72/0.42 % (1757954)Termination reason: Instruction limit
% 0.72/0.42 % (1757954)Termination phase: shuffling
% 0.72/0.42 % (1757954)Time elapsed: 0.002 s
% 0.72/0.42 % (1757954)Peak memory usage: 10 MB
% 0.72/0.42 % (1757954)Instructions burned: 7 (million)
% 0.72/0.42 % (1757962)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2813954737:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.72/0.44 % (1757960)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.72/0.44 % (1757962)Instruction limit reached!
% 0.72/0.44 % (1757962)------------------------------
% 0.72/0.44 % (1757962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757962)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757962)Termination reason: Instruction limit
% 0.72/0.44 % (1757962)Termination phase: shuffling
% 0.72/0.44 % (1757962)Time elapsed: 0.003 s
% 0.72/0.44 % (1757962)Peak memory usage: 10 MB
% 0.72/0.44 % (1757962)Instructions burned: 12 (million)
% 0.72/0.44 % (1757960)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3678536906:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.72/0.44 % (1757949)Instruction limit reached!
% 0.72/0.44 % (1757949)------------------------------
% 0.72/0.44 % (1757949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757960)Instruction limit reached!
% 0.72/0.44 % (1757960)------------------------------
% 0.72/0.44 % (1757960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757949)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757960)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757960)Termination reason: Instruction limit
% 0.72/0.44 % (1757960)Termination phase: shuffling
% 0.72/0.44 % (1757960)Time elapsed: 0.005 s
% 0.72/0.44 % (1757960)Peak memory usage: 10 MB
% 0.72/0.44 % (1757949)Termination reason: Instruction limit
% 0.72/0.44 % (1757949)Termination phase: Function definition elimination
% 0.72/0.44 % (1757960)Instructions burned: 8 (million)
% 0.72/0.44 % (1757949)Time elapsed: 0.036 s
% 0.72/0.44 % (1757949)Peak memory usage: 12 MB
% 0.72/0.44 % (1757949)Instructions burned: 76 (million)
% 0.72/0.44 % (1757964)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
% 0.72/0.44 % (1757964)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.72/0.44 % (1757959)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4072833941:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.72/0.44 % (1757964)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3091902367:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.72/0.44 % (1757959)Instruction limit reached!
% 0.72/0.44 % (1757959)------------------------------
% 0.72/0.44 % (1757959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757959)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757959)Termination reason: Instruction limit
% 0.72/0.44 % (1757959)Termination phase: shuffling
% 0.72/0.44 % (1757959)Time elapsed: 0.006 s
% 0.72/0.44 % (1757959)Peak memory usage: 10 MB
% 0.72/0.44 % (1757959)Instructions burned: 6 (million)
% 0.72/0.44 % (1757964)Instruction limit reached!
% 0.72/0.44 % (1757964)------------------------------
% 0.72/0.44 % (1757964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757964)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757964)Termination reason: Instruction limit
% 0.72/0.44 % (1757964)Termination phase: Property scanning
% 0.72/0.44 % (1757964)Time elapsed: 0.008 s
% 0.72/0.44 % (1757964)Peak memory usage: 10 MB
% 0.72/0.44 % (1757964)Instructions burned: 32 (million)
% 0.72/0.44 % (1757967)lrs+10_1_si=on:cs=on:random_seed=751648319:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.72/0.44 % (1757966)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=1766479216:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.72/0.44 % (1757944)Instruction limit reached!
% 0.72/0.44 % (1757944)------------------------------
% 0.72/0.44 % (1757944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757944)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757944)Termination reason: Instruction limit
% 0.72/0.44 % (1757944)Termination phase: Property scanning
% 0.72/0.44 % (1757944)Time elapsed: 0.058 s
% 0.72/0.44 % (1757944)Peak memory usage: 12 MB
% 0.72/0.44 % (1757944)Instructions burned: 87 (million)
% 0.72/0.44 % (1757971)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=438118805:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.72/0.44 % (1757967)Instruction limit reached!
% 0.72/0.44 % (1757967)------------------------------
% 0.72/0.44 % (1757967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757967)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757967)Termination reason: Instruction limit
% 0.72/0.44 % (1757967)Termination phase: shuffling
% 0.72/0.44 % (1757967)Time elapsed: 0.008 s
% 0.72/0.44 % (1757967)Peak memory usage: 10 MB
% 0.72/0.44 % (1757967)Instructions burned: 15 (million)
% 0.72/0.44 % (1757971)Instruction limit reached!
% 0.72/0.44 % (1757971)------------------------------
% 0.72/0.44 % (1757971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757971)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757971)Termination reason: Instruction limit
% 0.72/0.44 % (1757971)Termination phase: Saturation
% 0.72/0.44 % (1757971)Time elapsed: 0.010 s
% 0.72/0.44 % (1757971)Peak memory usage: 13 MB
% 0.72/0.44 % (1757971)Instructions burned: 41 (million)
% 0.72/0.44 % (1757970)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.72/0.44 % (1757975)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2339367554:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.72/0.44 % (1757977)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3010173710:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.72/0.44 % (1757970)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=1846542734:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.72/0.44 % (1757970)Instruction limit reached!
% 0.72/0.44 % (1757970)------------------------------
% 0.72/0.44 % (1757970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757970)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757970)Termination reason: Instruction limit
% 0.72/0.44 % (1757970)Termination phase: shuffling
% 0.72/0.44 % (1757970)Time elapsed: 0.003 s
% 0.72/0.44 % (1757970)Peak memory usage: 10 MB
% 0.72/0.44 % (1757970)Instructions burned: 3 (million)
% 0.72/0.44 % (1757977)Instruction limit reached!
% 0.72/0.44 % (1757977)------------------------------
% 0.72/0.44 % (1757977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757977)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757977)Termination reason: Instruction limit
% 0.72/0.44 % (1757977)Termination phase: shuffling
% 0.72/0.44 % (1757977)Time elapsed: 0.004 s
% 0.72/0.44 % (1757977)Peak memory usage: 10 MB
% 0.72/0.44 % (1757977)Instructions burned: 16 (million)
% 0.72/0.44 % (1757950)Instruction limit reached!
% 0.72/0.44 % (1757950)------------------------------
% 0.72/0.44 % (1757950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757950)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757950)Termination reason: Instruction limit
% 0.72/0.44 % (1757950)Termination phase: Saturation
% 0.72/0.44 % (1757950)Time elapsed: 0.083 s
% 0.72/0.44 % (1757950)Peak memory usage: 14 MB
% 0.72/0.44 % (1757950)Instructions burned: 157 (million)
% 0.72/0.44 % (1757976)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=202169830:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.72/0.44 % (1757947) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1757939-1757947"...
% 0.72/0.44 % (1757981)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1511464635:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.72/0.44 % (1757947)...printing done.
% 0.72/0.44 % (1757966)Instruction limit reached!
% 0.72/0.44 % (1757966)------------------------------
% 0.72/0.44 % (1757966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757966)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757966)Termination reason: Instruction limit
% 0.72/0.44 % (1757966)Termination phase: Property scanning
% 0.72/0.44 % (1757966)Time elapsed: 0.038 s
% 0.72/0.44 % (1757966)Peak memory usage: 11 MB
% 0.72/0.44 % (1757966)Instructions burned: 88 (million)
% 0.72/0.44 % (1757976)Instruction limit reached!
% 0.72/0.44 % (1757976)------------------------------
% 0.72/0.44 % (1757976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757976)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757976)Termination reason: Instruction limit
% 0.72/0.44 % (1757976)Termination phase: Property scanning
% 0.72/0.44 % (1757976)Time elapsed: 0.012 s
% 0.72/0.44 % (1757976)Peak memory usage: 10 MB
% 0.72/0.44 % (1757976)Instructions burned: 25 (million)
% 0.72/0.44 % (1757947)Refutation found. Thanks to Tanya!
% 0.72/0.44 % SZS status Theorem for theBenchmark
% 0.72/0.44 % SZS output start Proof for theBenchmark
% 0.72/0.44 thf(type_def_5, type, list: $tType > $tType).
% 0.72/0.44 thf(type_def_6, type, set: $tType > $tType).
% 0.72/0.44 thf(type_def_7, type, nat: $tType).
% 0.72/0.44 thf(type_def_8, type, a: $tType).
% 0.72/0.44 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.72/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_3, type, top: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_9, type, order_top: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_10, type, wellorder: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_12, type, dense_linorder: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_13, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_14, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.72/0.44 thf(func_def_15, type, f_image: !>[X0: $tType]:((list @ X0 > set @ nat > set @ X0))).
% 0.72/0.44 thf(func_def_16, type, list_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 0.72/0.44 thf(func_def_17, type, list_desc: !>[X0: $tType]:((list @ X0 > $o))).
% 0.72/0.44 thf(func_def_18, type, list_strict_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 0.72/0.44 thf(func_def_19, type, list_strict_desc: !>[X0: $tType]:((list @ X0 > $o))).
% 0.72/0.44 thf(func_def_20, type, listSl1903280966_slice: !>[X0: $tType]:((list @ X0 > nat > list @ list @ X0))).
% 0.72/0.44 thf(func_def_21, type, listSl776277612slice2: !>[X0: $tType]:((list @ X0 > nat > list @ list @ X0))).
% 0.72/0.44 thf(func_def_22, type, listSl1123830174ce_aux: !>[X0: $tType]:((list @ X0 > nat > nat > list @ list @ X0))).
% 0.72/0.44 thf(func_def_23, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.72/0.44 thf(func_def_24, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 0.72/0.44 thf(func_def_25, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.72/0.44 thf(func_def_26, type, list_ex: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.72/0.44 thf(func_def_27, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 0.72/0.44 thf(func_def_28, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.72/0.44 thf(func_def_29, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.72/0.44 thf(func_def_30, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.72/0.44 thf(func_def_31, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.72/0.44 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.72/0.44 thf(func_def_33, type, top_top: !>[X0: $tType]:(X0)).
% 0.72/0.44 thf(func_def_34, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_35, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.72/0.44 thf(func_def_36, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.72/0.44 thf(func_def_37, type, k: nat).
% 0.72/0.44 thf(func_def_38, type, m: nat).
% 0.72/0.44 thf(func_def_39, type, xs: list @ a).
% 0.72/0.44 thf(func_def_43, type, vAND: ($o > $o > $o)).
% 0.72/0.44 thf(func_def_44, type, db1: !>[X0: $tType]:(X0)).
% 0.72/0.44 thf(func_def_45, type, db0: !>[X0: $tType]:(X0)).
% 0.72/0.44 thf(func_def_46, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.72/0.44 thf(func_def_47, type, vNOT: ($o > $o)).
% 0.72/0.44 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.72/0.44 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.72/0.44 thf(func_def_50, type, vIMP: ($o > $o > $o)).
% 0.72/0.44 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 0.72/0.44 thf(func_def_52, type, vOR: ($o > $o > $o)).
% 0.72/0.44 thf(func_def_53, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.72/0.44 thf(func_def_54, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.72/0.44 thf(func_def_55, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.72/0.44 thf(func_def_56, type, sK2: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 0.72/0.44 thf(func_def_57, type, sK3: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.72/0.44 thf(func_def_58, type, sK4: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_59, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_60, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_61, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_62, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_63, type, sK9: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 0.72/0.44 thf(func_def_64, type, sK10: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_65, type, sK11: !>[X0: $tType]:((set @ nat > list @ X0 > X0 > nat))).
% 0.72/0.44 thf(func_def_66, type, sK12: !>[X0: $tType]:(X0)).
% 0.72/0.44 thf(func_def_67, type, sK13: ((nat > nat) > nat)).
% 0.72/0.44 thf(func_def_68, type, sK14: ((nat > nat) > nat)).
% 0.72/0.44 thf(func_def_69, type, sK15: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_70, type, sK16: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_71, type, sK17: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_72, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_73, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_74, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_75, type, sK21: ((nat > $o) > nat > nat)).
% 0.72/0.44 thf(func_def_76, type, sK22: ((nat > $o) > nat)).
% 0.72/0.44 thf(func_def_77, type, sK23: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_78, type, sK24: !>[X0: $tType]:((set @ X0 > X0))).
% 0.72/0.44 thf(func_def_79, type, sK25: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_80, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_81, type, sK27: !>[X0: $tType]:(((X0 > $o) > list @ X0 > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_82, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_83, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_84, type, sK30: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 0.72/0.44 thf(func_def_85, type, sK31: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_86, type, sK32: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_87, type, sK33: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 0.72/0.44 thf(func_def_88, type, sK34: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_89, type, sK35: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_90, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_91, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_92, type, sK38: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_93, type, sK39: !>[X0: $tType]:((set @ nat > list @ X0 > nat))).
% 0.72/0.44 thf(func_def_94, type, sK40: !>[X0: $tType]:(((nat > X0 > $o) > nat > list @ X0))).
% 0.72/0.44 thf(func_def_95, type, sK41: !>[X0: $tType]:(((nat > X0 > $o) > nat > nat))).
% 0.72/0.44 thf(func_def_96, type, sK42: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_97, type, sK43: !>[X0: $tType]:((list @ X0 > (nat > X0 > $o) > nat > nat))).
% 0.72/0.44 thf(func_def_98, type, sK44: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_99, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.72/0.44 thf(func_def_100, type, sK46: !>[X0: $tType]:((nat > (X0 > $o) > (X0 > nat) > X0))).
% 0.72/0.44 thf(func_def_101, type, sK47: (nat > (nat > $o) > nat)).
% 0.72/0.44 thf(func_def_102, type, sK48: (nat > (nat > $o) > nat)).
% 0.72/0.44 thf(func_def_103, type, sK49: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_104, type, sK50: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_105, type, sK51: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_106, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_107, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_108, type, sK54: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 0.72/0.44 thf(func_def_109, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_110, type, sK56: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.72/0.44 thf(func_def_111, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_112, type, sK58: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_113, type, sK59: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_114, type, sK60: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_115, type, sK61: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_116, type, sK62: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_117, type, sK63: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_118, type, sK64: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 0.72/0.44 thf(func_def_119, type, sK65: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_120, type, sK66: ((nat > $o) > nat)).
% 0.72/0.44 thf(func_def_121, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_122, type, sK68: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_123, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_124, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_125, type, sK71: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 0.72/0.44 thf(func_def_126, type, sK72: !>[X0: $tType]:((nat > list @ X0))).
% 0.72/0.44 thf(func_def_127, type, sK73: ((nat > $o) > nat)).
% 0.72/0.44 thf(func_def_128, type, sK74: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 0.72/0.44 thf(func_def_129, type, sK75: !>[X0: $tType]:((X0 > set @ nat > list @ X0 > nat))).
% 0.72/0.44 thf(func_def_130, type, sK76: !>[X0: $tType]:((set @ X0 > list @ X0 > set @ nat > nat))).
% 0.72/0.44 thf(func_def_131, type, sK77: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_132, type, sK78: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_133, type, sK79: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_134, type, sK80: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_135, type, sK81: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_136, type, sK82: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_137, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_138, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_139, type, sK85: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.72/0.44 thf(func_def_140, type, sK86: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_141, type, sK87: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_142, type, sK88: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_143, type, sK89: !>[X0: $tType]:((set @ X0 > set @ nat > list @ X0 > set @ nat))).
% 0.72/0.44 thf(func_def_144, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_145, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_146, type, sK92: !>[X0: $tType]:((list @ X0 > set @ X0 > set @ nat > nat))).
% 0.72/0.44 thf(func_def_147, type, sK93: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_148, type, sK94: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_149, type, sK95: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_150, type, sK96: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 0.72/0.44 thf(func_def_151, type, sK97: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 0.72/0.44 thf(func_def_152, type, sK98: !>[X0: $tType]:((X0 > X0))).
% 0.72/0.44 thf(func_def_153, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_154, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_155, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_156, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_157, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_158, type, sK104: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.72/0.44 thf(func_def_159, type, sK105: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_160, type, sK106: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_161, type, sK107: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_162, type, sK108: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 0.72/0.44 thf(func_def_163, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_164, type, sK110: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_165, type, sK111: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.72/0.44 thf(func_def_166, type, sK112: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_167, type, sK113: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_168, type, sK114: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.72/0.44 thf(func_def_169, type, sK115: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.72/0.44 thf(f4,axiom,(
% 0.72/0.44 ! [X0 : $tType,X1 : nat,X2 : list @ X0,X3 : nat] : ((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X2) @ X3)) => (((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X2 @ X3) @ X1)) = ((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X2 @ X3) @ X1))))),
% 0.72/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_list__slice2__list__slice__nth)).
% 0.72/0.44 thf(f7,axiom,(
% 0.72/0.44 ! [X0 : $tType,X1 : nat,X3 : nat,X2 : list @ X0] : ((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X2) @ X3)) => (((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X2 @ X3) @ X1))) = X3))),
% 0.72/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_list__slice__nth__length)).
% 0.72/0.44 thf(f282,axiom,(
% 0.72/0.44 (ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))),
% 0.72/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.72/0.44 thf(f283,conjecture,(
% 0.72/0.44 (((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m))) = k)),
% 0.72/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.72/0.44 thf(f284,negated_conjecture,(
% 0.72/0.44 ~ (((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m))) = k)),
% 0.72/0.44 inference(negated_conjecture,[status(cth)],[f283])).
% 0.72/0.44 thf(f355,plain,(
% 0.72/0.44 (ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))),
% 0.72/0.44 inference(rectify,[],[f282])).
% 0.72/0.44 thf(f356,plain,(
% 0.72/0.44 (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) = $true)),
% 0.72/0.44 inference(fool_elimination,[],[f355])).
% 0.72/0.44 thf(f393,plain,(
% 0.72/0.44 ! [X0 : $tType,X1 : nat,X2 : list @ X0,X3 : nat] : ((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X2) @ X3)) => (((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X2 @ X3) @ X1)) = ((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X2 @ X3) @ X1))))),
% 0.72/0.44 inference(rectify,[],[f4])).
% 0.72/0.44 thf(f394,plain,(
% 0.72/0.44 ! [X0 : $tType,X2 : list @ X0,X3 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X2) @ X3))) = $true) => (((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X2 @ X3) @ X1)) = ((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X2 @ X3) @ X1))))),
% 0.72/0.44 inference(fool_elimination,[],[f393])).
% 0.72/0.44 thf(f651,plain,(
% 0.72/0.44 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list @ X0] : ((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X3) @ X2)) => (((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X3 @ X2) @ X1))) = X2))),
% 0.72/0.44 inference(rectify,[],[f7])).
% 0.72/0.44 thf(f652,plain,(
% 0.72/0.44 ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : nat] : ((((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X3) @ X2))) = $true) => (((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X3 @ X2) @ X1))) = X2))),
% 0.72/0.44 inference(fool_elimination,[],[f651])).
% 0.72/0.44 thf(f826,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m))))),
% 0.72/0.44 inference(flattening,[],[f284])).
% 0.72/0.44 thf(f1114,plain,(
% 0.72/0.44 ! [X0 : $tType,X3 : list @ X0,X1 : nat,X2 : nat] : ((((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X3) @ X2))) != $true) | (((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X3 @ X2) @ X1))) = X2))),
% 0.72/0.44 inference(ennf_transformation,[],[f652])).
% 0.72/0.44 thf(f1144,plain,(
% 0.72/0.44 ! [X0 : $tType,X3 : nat,X1 : nat,X2 : list @ X0] : ((((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X2 @ X3) @ X1)) = ((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X2 @ X3) @ X1))) | (((ord_less @ nat @ X1 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X2) @ X3))) != $true))),
% 0.72/0.44 inference(ennf_transformation,[],[f394])).
% 0.72/0.44 thf(f1258,plain,(
% 0.72/0.44 ! [X0 : $tType,X1 : list @ X0,X2 : nat,X3 : nat] : (($true != ((ord_less @ nat @ X2 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X1) @ X3)))) | (((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X1 @ X3) @ X2))) = X3))),
% 0.72/0.44 inference(rectify,[],[f1114])).
% 0.72/0.44 thf(f1316,plain,(
% 0.72/0.44 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list @ X0] : ((((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X3 @ X1) @ X2)) = ((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X3 @ X1) @ X2))) | ($true != ((ord_less @ nat @ X2 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X3) @ X1)))))),
% 0.72/0.44 inference(rectify,[],[f1144])).
% 0.72/0.44 thf(f1433,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m))))),
% 0.72/0.44 inference(cnf_transformation,[],[f826])).
% 0.72/0.44 thf(f1549,plain,(
% 0.72/0.44 (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) = $true)),
% 0.72/0.44 inference(cnf_transformation,[],[f356])).
% 0.72/0.44 thf(f1565,plain,(
% 0.72/0.44 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : list @ X0] : ((((size_size @ list @ X0 @ (nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X1 @ X3) @ X2))) = X3) | ($true != ((ord_less @ nat @ X2 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X1) @ X3))))) )),
% 0.72/0.44 inference(cnf_transformation,[],[f1258])).
% 0.72/0.44 thf(f1694,plain,(
% 0.72/0.44 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : nat] : ((((nth @ list @ X0 @ (listSl1903280966_slice @ X0 @ X3 @ X1) @ X2)) = ((nth @ list @ X0 @ (listSl776277612slice2 @ X0 @ X3 @ X1) @ X2))) | ($true != ((ord_less @ nat @ X2 @ (divide_divide @ nat @ (size_size @ list @ X0 @ X3) @ X1))))) )),
% 0.72/0.44 inference(cnf_transformation,[],[f1316])).
% 0.72/0.44 thf(f2142,definition,(
% 0.72/0.44 spl116_5 <=> (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) = $true)),
% 0.72/0.44 introduced(definition,[new_symbols(definition,[spl116_5])],[avatar_definition])).
% 0.72/0.44 thf(f2144,plain,(
% 0.72/0.44 (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) = $true) | ~spl116_5),
% 0.72/0.44 inference(avatar_component_clause,[],[f2142])).
% 0.72/0.44 thf(f2145,plain,(
% 0.72/0.44 spl116_5),
% 0.72/0.44 inference(avatar_split_clause,[],[f1549,f2142])).
% 0.72/0.44 thf(f2152,definition,(
% 0.72/0.44 spl116_7 <=> (k = ((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m))))),
% 0.72/0.44 introduced(definition,[new_symbols(definition,[spl116_7])],[avatar_definition])).
% 0.72/0.44 thf(f2154,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl776277612slice2 @ a @ xs @ k) @ m)))) | spl116_7),
% 0.72/0.44 inference(avatar_component_clause,[],[f2152])).
% 0.72/0.44 thf(f2155,plain,(
% 0.72/0.44 ~spl116_7),
% 0.72/0.44 inference(avatar_split_clause,[],[f1433,f2152])).
% 0.72/0.44 thf(f2271,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl1903280966_slice @ a @ xs @ k) @ m)))) | (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) != $true) | spl116_7),
% 0.72/0.44 inference(superposition,[],[f2154,f1694])).
% 0.72/0.44 thf(f2274,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl1903280966_slice @ a @ xs @ k) @ m)))) | (~spl116_5 | spl116_7)),
% 0.72/0.44 inference(forward_subsumption_resolution,[],[f2271,f2144])).
% 0.72/0.44 thf(f2276,definition,(
% 0.72/0.44 spl116_21 <=> (k = ((size_size @ list @ a @ (nth @ list @ a @ (listSl1903280966_slice @ a @ xs @ k) @ m))))),
% 0.72/0.44 introduced(definition,[new_symbols(definition,[spl116_21])],[avatar_definition])).
% 0.72/0.44 thf(f2278,plain,(
% 0.72/0.44 (k != ((size_size @ list @ a @ (nth @ list @ a @ (listSl1903280966_slice @ a @ xs @ k) @ m)))) | spl116_21),
% 0.72/0.44 inference(avatar_component_clause,[],[f2276])).
% 0.72/0.44 thf(f2279,plain,(
% 0.72/0.44 ~spl116_21 | ~spl116_5 | spl116_7),
% 0.72/0.44 inference(avatar_split_clause,[],[f2274,f2152,f2142,f2276])).
% 0.72/0.44 thf(f2522,plain,(
% 0.72/0.44 (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) != $true) | (k != k) | spl116_21),
% 0.72/0.44 inference(superposition,[],[f2278,f1565])).
% 0.72/0.44 thf(f2525,plain,(
% 0.72/0.44 (((ord_less @ nat @ m @ (divide_divide @ nat @ (size_size @ list @ a @ xs) @ k))) != $true) | spl116_21),
% 0.72/0.44 inference(trivial_inequality_removal,[],[f2522])).
% 0.72/0.44 thf(f2526,plain,(
% 0.72/0.44 $false | (~spl116_5 | spl116_21)),
% 0.72/0.44 inference(forward_subsumption_resolution,[],[f2525,f2144])).
% 0.72/0.44 thf(f2527,plain,(
% 0.72/0.44 ~spl116_5 | spl116_21),
% 0.72/0.44 inference(avatar_contradiction_clause,[],[f2526])).
% 0.72/0.44 cnf(s5, plain, spl116_5, inference(sat_conversion,[],[f2145])).
% 0.72/0.44 cnf(s7, plain, ~spl116_7, inference(sat_conversion,[],[f2155])).
% 0.72/0.44 cnf(s21, plain, ~spl116_5 | spl116_7 | ~spl116_21, inference(sat_conversion,[],[f2279])).
% 0.72/0.44 cnf(s31, plain, ~spl116_5 | spl116_21, inference(sat_conversion,[],[f2527])).
% 0.72/0.44 cnf(s32, plain, spl116_21, inference(rat,[],[s31,s5])).
% 0.72/0.44 cnf(s35, plain, $false, inference(rat,[],[s21,s7,s32,s5])).
% 0.72/0.44 thf(f2528,plain,(
% 0.72/0.44 $false),
% 0.72/0.44 inference(avatar_sat_refutation,[],[s35])).
% 0.72/0.44 % SZS output end Proof for theBenchmark
% 0.72/0.44 % (1757947)------------------------------
% 0.72/0.44 % (1757947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.44 % (1757947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.44 % (1757947)CaDiCaL version: 2.1.3
% 0.72/0.44 % (1757947)Termination reason: Refutation
% 0.72/0.44 % (1757947)Time elapsed: 0.094 s
% 0.72/0.44 % (1757947)Peak memory usage: 15 MB
% 0.72/0.44 % (1757947)Instructions burned: 187 (million)
% 0.72/0.44 % (1757939)Success in time 0.151 s
% 0.72/0.44 % Vampire exiting
%------------------------------------------------------------------------------