%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN024^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:19:53 AM UTC 2026
% Result : Theorem 0.88s 0.38s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN024^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:06:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.32 % (2818948)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.32 % (2818957)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2935555928:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.32 % (2818957)Refutation not found, incomplete strategy
% 0.22/0.32 % (2818957)------------------------------
% 0.22/0.32 % (2818957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2818957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2818957)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2818957)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2818957)Time elapsed: 0.001 s
% 0.22/0.32 % (2818957)Peak memory usage: 12 MB
% 0.22/0.32 % (2818957)Instructions burned: 2 (million)
% 0.22/0.32 % (2818957)------------------------------
% 0.22/0.32 % (2818957)------------------------------
% 0.22/0.32 % (2818959)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.32 % (2818959)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
% 0.22/0.32 % (2818955)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=793458132:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.32 % (2818953)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1468565665:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.32 % (2818954)lrs+10_16_si=on:nwc=1.5:random_seed=3162728057:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.32 % (2818956)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=2710636438: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)
% 0.22/0.32 % (2818958)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1379459211:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.32 % (2818959)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=2496327839:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.32 % (2818955)Refutation not found, incomplete strategy
% 0.22/0.32 % (2818955)------------------------------
% 0.22/0.32 % (2818955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2818955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2818955)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2818955)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2818955)Time elapsed: 0.002 s
% 0.22/0.32 % (2818955)Peak memory usage: 12 MB
% 0.22/0.32 % (2818955)Instructions burned: 1 (million)
% 0.22/0.32 % (2818953)Refutation not found, incomplete strategy
% 0.22/0.32 % (2818953)------------------------------
% 0.22/0.32 % (2818953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2818953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2818953)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2818953)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2818953)Time elapsed: 0.002 s
% 0.22/0.32 % (2818953)Peak memory usage: 12 MB
% 0.22/0.32 % (2818953)Instructions burned: 2 (million)
% 0.22/0.32 % (2818955)------------------------------
% 0.22/0.32 % (2818955)------------------------------
% 0.22/0.32 % (2818956)Refutation not found, incomplete strategy
% 0.22/0.32 % (2818956)------------------------------
% 0.22/0.32 % (2818956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2818956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2818956)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2818956)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2818956)Time elapsed: 0.002 s
% 0.22/0.32 % (2818956)Peak memory usage: 12 MB
% 0.22/0.32 % (2818956)Instructions burned: 2 (million)
% 0.22/0.32 % (2818953)------------------------------
% 0.22/0.32 % (2818953)------------------------------
% 0.22/0.32 % (2818956)------------------------------
% 0.22/0.32 % (2818956)------------------------------
% 0.22/0.34 % (2818961)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1019013478:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.34 % (2818959)Refutation not found, incomplete strategy
% 0.22/0.34 % (2818959)------------------------------
% 0.22/0.34 % (2818959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2818959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2818959)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2818959)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.34 % (2818959)Time elapsed: 0.005 s
% 0.22/0.34 % (2818959)Peak memory usage: 12 MB
% 0.22/0.34 % (2818959)Instructions burned: 7 (million)
% 0.22/0.34 % (2818961)Instruction limit reached!
% 0.22/0.34 % (2818961)------------------------------
% 0.22/0.34 % (2818961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2818961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2818961)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2818961)Termination reason: Instruction limit
% 0.22/0.34 % (2818961)Termination phase: Saturation
% 0.22/0.34 % (2818961)Time elapsed: 0.001 s
% 0.22/0.34 % (2818961)Peak memory usage: 12 MB
% 0.22/0.34 % (2818961)Instructions burned: 4 (million)
% 0.22/0.34 % (2818959)------------------------------
% 0.22/0.34 % (2818959)------------------------------
% 0.22/0.34 % (2818954)Refutation not found, incomplete strategy
% 0.22/0.34 % (2818954)------------------------------
% 0.22/0.34 % (2818954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2818954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2818954)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2818954)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.34 % (2818954)Time elapsed: 0.010 s
% 0.22/0.34 % (2818954)Peak memory usage: 12 MB
% 0.22/0.34 % (2818954)Instructions burned: 17 (million)
% 0.22/0.34 % (2818954)------------------------------
% 0.22/0.34 % (2818954)------------------------------
% 0.22/0.34 % (2818972)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
% 0.22/0.34 % (2818972)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.34 % (2818972)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=714745518:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.34 % (2818969)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.34 % (2818969)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1633376988:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.34 % (2818968)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4064939076:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.34 % (2818970)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2497732950:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.34 % (2818972)Instruction limit reached!
% 0.22/0.34 % (2818972)------------------------------
% 0.22/0.34 % (2818972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2818972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2818972)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2818972)Termination reason: Instruction limit
% 0.22/0.34 % (2818972)Termination phase: Saturation
% 0.22/0.34 % (2818972)Time elapsed: 0.008 s
% 0.22/0.34 % (2818972)Peak memory usage: 12 MB
% 0.22/0.34 % (2818972)Instructions burned: 31 (million)
% 0.22/0.34 % (2818973)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=1879862071:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.34 % (2818969)Instruction limit reached!
% 0.22/0.34 % (2818969)------------------------------
% 0.22/0.34 % (2818969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818969)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818969)Termination reason: Instruction limit
% 0.22/0.35 % (2818969)Termination phase: Saturation
% 0.22/0.35 % (2818969)Time elapsed: 0.004 s
% 0.22/0.35 % (2818969)Peak memory usage: 12 MB
% 0.22/0.35 % (2818969)Instructions burned: 7 (million)
% 0.22/0.35 % (2818968)Instruction limit reached!
% 0.22/0.35 % (2818968)------------------------------
% 0.22/0.35 % (2818968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818968)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818968)Termination reason: Instruction limit
% 0.22/0.35 % (2818968)Termination phase: Saturation
% 0.22/0.35 % (2818968)Time elapsed: 0.004 s
% 0.22/0.35 % (2818968)Peak memory usage: 11 MB
% 0.22/0.35 % (2818968)Instructions burned: 5 (million)
% 0.22/0.35 % (2818974)lrs+10_1_si=on:cs=on:random_seed=2781492170:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.22/0.35 % (2818970)Instruction limit reached!
% 0.22/0.35 % (2818970)------------------------------
% 0.22/0.35 % (2818970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818970)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818970)Termination reason: Instruction limit
% 0.22/0.35 % (2818970)Termination phase: Saturation
% 0.22/0.35 % (2818970)Time elapsed: 0.008 s
% 0.22/0.35 % (2818970)Peak memory usage: 12 MB
% 0.22/0.35 % (2818970)Instructions burned: 13 (million)
% 0.22/0.35 % (2818979)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.22/0.35 % (2818974)Instruction limit reached!
% 0.22/0.35 % (2818974)------------------------------
% 0.22/0.35 % (2818974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818974)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818974)Termination reason: Instruction limit
% 0.22/0.35 % (2818974)Termination phase: Saturation
% 0.22/0.35 % (2818974)Time elapsed: 0.005 s
% 0.22/0.35 % (2818974)Peak memory usage: 12 MB
% 0.22/0.35 % (2818974)Instructions burned: 9 (million)
% 0.22/0.35 % (2818979)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=694513863:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.35 % (2818979)Instruction limit reached!
% 0.22/0.35 % (2818979)------------------------------
% 0.22/0.35 % (2818979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818979)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818979)Termination reason: Instruction limit
% 0.22/0.35 % (2818979)Termination phase: Saturation
% 0.22/0.35 % (2818979)Time elapsed: 0.001 s
% 0.22/0.35 % (2818979)Peak memory usage: 11 MB
% 0.22/0.35 % (2818979)Instructions burned: 3 (million)
% 0.22/0.35 % (2818958)Instruction limit reached!
% 0.22/0.35 % (2818958)------------------------------
% 0.22/0.35 % (2818958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (2818958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (2818958)CaDiCaL version: 2.1.3
% 0.22/0.35 % (2818958)Termination reason: Instruction limit
% 0.22/0.35 % (2818958)Termination phase: Saturation
% 0.22/0.35 % (2818958)Time elapsed: 0.039 s
% 0.22/0.35 % (2818958)Peak memory usage: 12 MB
% 0.22/0.35 % (2818958)Instructions burned: 75 (million)
% 0.22/0.35 % (2818982)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2953593919:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.22/0.35 % (2818981)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3333645388:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.22/0.35 % (2818987)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4124615181:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.22/0.35 % (2818981)Refutation not found, incomplete strategy
% 0.22/0.35 % (2818981)------------------------------
% 0.22/0.35 % (2818981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818981)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818981)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.37 % (2818981)Time elapsed: 0.001 s
% 0.88/0.37 % (2818981)Peak memory usage: 12 MB
% 0.88/0.37 % (2818981)Instructions burned: 1 (million)
% 0.88/0.37 % (2818982)Refutation not found, incomplete strategy
% 0.88/0.37 % (2818982)------------------------------
% 0.88/0.37 % (2818982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818982)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818982)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.37 % (2818982)Time elapsed: 0.002 s
% 0.88/0.37 % (2818982)Peak memory usage: 12 MB
% 0.88/0.37 % (2818982)Instructions burned: 2 (million)
% 0.88/0.37 % (2818981)------------------------------
% 0.88/0.37 % (2818981)------------------------------
% 0.88/0.37 % (2818982)------------------------------
% 0.88/0.37 % (2818982)------------------------------
% 0.88/0.37 % (2818987)Refutation not found, incomplete strategy
% 0.88/0.37 % (2818987)------------------------------
% 0.88/0.37 % (2818987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818987)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818987)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.37 % (2818987)Time elapsed: 0.001 s
% 0.88/0.37 % (2818987)Peak memory usage: 12 MB
% 0.88/0.37 % (2818987)Instructions burned: 3 (million)
% 0.88/0.37 % (2818987)------------------------------
% 0.88/0.37 % (2818987)------------------------------
% 0.88/0.37 % (2818984)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2982349223:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.88/0.37 % (2818984)Refutation not found, incomplete strategy
% 0.88/0.37 % (2818984)------------------------------
% 0.88/0.37 % (2818984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818984)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818984)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.37 % (2818984)Time elapsed: 0.002 s
% 0.88/0.37 % (2818984)Peak memory usage: 12 MB
% 0.88/0.37 % (2818984)Instructions burned: 1 (million)
% 0.88/0.37 % (2818984)------------------------------
% 0.88/0.37 % (2818984)------------------------------
% 0.88/0.37 % (2818986)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1593471088:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.88/0.37 % (2818986)Refutation not found, incomplete strategy
% 0.88/0.37 % (2818986)------------------------------
% 0.88/0.37 % (2818986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818986)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818986)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.37 % (2818986)Time elapsed: 0.002 s
% 0.88/0.37 % (2818986)Peak memory usage: 12 MB
% 0.88/0.37 % (2818986)Instructions burned: 2 (million)
% 0.88/0.37 % (2818986)------------------------------
% 0.88/0.37 % (2818986)------------------------------
% 0.88/0.37 % (2818988)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1732705520:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.88/0.37 % (2818995)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=477039200:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.88/0.37 % (2818995)Instruction limit reached!
% 0.88/0.37 % (2818995)------------------------------
% 0.88/0.37 % (2818995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.37 % (2818995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.37 % (2818995)CaDiCaL version: 2.1.3
% 0.88/0.37 % (2818995)Termination reason: Instruction limit
% 0.88/0.37 % (2818995)Termination phase: Saturation
% 0.88/0.37 % (2818995)Time elapsed: 0.006 s
% 0.88/0.37 % (2818995)Peak memory usage: 11 MB
% 0.88/0.37 % (2818995)Instructions burned: 23 (million)
% 0.88/0.37 % (2818993)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1570245613:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.88/0.38 % (2818992)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2031396817:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.38 % (2818988)Instruction limit reached!
% 0.88/0.38 % (2818988)------------------------------
% 0.88/0.38 % (2818988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818988)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818988)Termination reason: Instruction limit
% 0.88/0.38 % (2818988)Termination phase: Saturation
% 0.88/0.38 % (2818988)Time elapsed: 0.009 s
% 0.88/0.38 % (2818988)Peak memory usage: 12 MB
% 0.88/0.38 % (2818988)Instructions burned: 14 (million)
% 0.88/0.38 % (2818992)Refutation not found, incomplete strategy
% 0.88/0.38 % (2818992)------------------------------
% 0.88/0.38 % (2818992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818992)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818992)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2818992)Time elapsed: 0.002 s
% 0.88/0.38 % (2818992)Peak memory usage: 12 MB
% 0.88/0.38 % (2818992)Instructions burned: 2 (million)
% 0.88/0.38 % (2818992)------------------------------
% 0.88/0.38 % (2818992)------------------------------
% 0.88/0.38 % (2818996)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1740975769:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.88/0.38 % (2818993)Refutation not found, incomplete strategy
% 0.88/0.38 % (2818993)------------------------------
% 0.88/0.38 % (2818993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818993)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818993)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2818993)Time elapsed: 0.004 s
% 0.88/0.38 % (2818993)Peak memory usage: 12 MB
% 0.88/0.38 % (2818993)Instructions burned: 6 (million)
% 0.88/0.38 % (2818993)------------------------------
% 0.88/0.38 % (2818993)------------------------------
% 0.88/0.38 % (2818998)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.88/0.38 % (2818998)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.88/0.38 % (2818996)Refutation not found, incomplete strategy
% 0.88/0.38 % (2818996)------------------------------
% 0.88/0.38 % (2818996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818996)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818996)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2818996)Time elapsed: 0.002 s
% 0.88/0.38 % (2818996)Peak memory usage: 12 MB
% 0.88/0.38 % (2818996)Instructions burned: 2 (million)
% 0.88/0.38 % (2818996)------------------------------
% 0.88/0.38 % (2818996)------------------------------
% 0.88/0.38 % (2818973)Instruction limit reached!
% 0.88/0.38 % (2818973)------------------------------
% 0.88/0.38 % (2818973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818973)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818973)Termination reason: Instruction limit
% 0.88/0.38 % (2818973)Termination phase: Saturation
% 0.88/0.38 % (2818973)Time elapsed: 0.049 s
% 0.88/0.38 % (2818973)Peak memory usage: 12 MB
% 0.88/0.38 % (2818973)Instructions burned: 89 (million)
% 0.88/0.38 % (2819004)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.88/0.38 % (2818998)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=3272008622:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.88/0.38 % (2819004)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=3004374360:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.88/0.38 % (2819004)Refutation not found, incomplete strategy
% 0.88/0.38 % (2819004)------------------------------
% 0.88/0.38 % (2819004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819004)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819004)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2819004)Time elapsed: 0.001 s
% 0.88/0.38 % (2819004)Peak memory usage: 12 MB
% 0.88/0.38 % (2819004)Instructions burned: 3 (million)
% 0.88/0.38 % (2819004)------------------------------
% 0.88/0.38 % (2819004)------------------------------
% 0.88/0.38 % (2818998)Instruction limit reached!
% 0.88/0.38 % (2818998)------------------------------
% 0.88/0.38 % (2818998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2818998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2818998)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2818998)Termination reason: Instruction limit
% 0.88/0.38 % (2818998)Termination phase: Saturation
% 0.88/0.38 % (2818998)Time elapsed: 0.009 s
% 0.88/0.38 % (2818998)Peak memory usage: 12 MB
% 0.88/0.38 % (2818998)Instructions burned: 14 (million)
% 0.88/0.38 % (2819009)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=960357923:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.88/0.38 % (2819011)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=141418571:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.38 % (2819012)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2314536667:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.88/0.38 % (2819013)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2424531493:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 0.88/0.38 % (2819014)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3521254795:i=1240:rtra=on:ixr=off_2999 on theBenchmark for (2999ds/1240Mi)
% 0.88/0.38 % (2819017)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2973480550:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.88/0.38 % (2819011)Instruction limit reached!
% 0.88/0.38 % (2819011)------------------------------
% 0.88/0.38 % (2819011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819011)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819011)Termination reason: Instruction limit
% 0.88/0.38 % (2819011)Termination phase: Saturation
% 0.88/0.38 % (2819011)Time elapsed: 0.005 s
% 0.88/0.38 % (2819011)Peak memory usage: 12 MB
% 0.88/0.38 % (2819011)Instructions burned: 8 (million)
% 0.88/0.38 % (2819014)Refutation not found, incomplete strategy
% 0.88/0.38 % (2819014)------------------------------
% 0.88/0.38 % (2819014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819014)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819014)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2819014)Time elapsed: 0.005 s
% 0.88/0.38 % (2819014)Peak memory usage: 12 MB
% 0.88/0.38 % (2819014)Instructions burned: 8 (million)
% 0.88/0.38 % (2819014)------------------------------
% 0.88/0.38 % (2819014)------------------------------
% 0.88/0.38 % (2819012)Instruction limit reached!
% 0.88/0.38 % (2819012)------------------------------
% 0.88/0.38 % (2819012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819012)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819012)Termination reason: Instruction limit
% 0.88/0.38 % (2819012)Termination phase: Saturation
% 0.88/0.38 % (2819012)Time elapsed: 0.009 s
% 0.88/0.38 % (2819012)Peak memory usage: 11 MB
% 0.88/0.38 % (2819012)Instructions burned: 23 (million)
% 0.88/0.38 % (2819018)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3835868449:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.88/0.38 % (2819013)Instruction limit reached!
% 0.88/0.38 % (2819013)------------------------------
% 0.88/0.38 % (2819013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819013)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819013)Termination reason: Instruction limit
% 0.88/0.38 % (2819013)Termination phase: Saturation
% 0.88/0.38 % (2819013)Time elapsed: 0.012 s
% 0.88/0.38 % (2819013)Peak memory usage: 12 MB
% 0.88/0.38 % (2819013)Instructions burned: 21 (million)
% 0.88/0.38 % (2819018)Refutation not found, incomplete strategy
% 0.88/0.38 % (2819018)------------------------------
% 0.88/0.38 % (2819018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819018)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819018)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.38 % (2819018)Time elapsed: 0.002 s
% 0.88/0.38 % (2819018)Peak memory usage: 12 MB
% 0.88/0.38 % (2819018)Instructions burned: 3 (million)
% 0.88/0.38 % (2819009)Instruction limit reached!
% 0.88/0.38 % (2819009)------------------------------
% 0.88/0.38 % (2819009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819009)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819009)Termination reason: Instruction limit
% 0.88/0.38 % (2819009)Termination phase: Saturation
% 0.88/0.38 % (2819009)Time elapsed: 0.017 s
% 0.88/0.38 % (2819009)Peak memory usage: 12 MB
% 0.88/0.38 % (2819009)Instructions burned: 31 (million)
% 0.88/0.38 % (2819017) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2818948-2819017"...
% 0.88/0.38 % (2819018)------------------------------
% 0.88/0.38 % (2819018)------------------------------
% 0.88/0.38 % (2819017)...printing done.
% 0.88/0.38 % (2819017)Refutation found. Thanks to Tanya!
% 0.88/0.38 % SZS status Theorem for theBenchmark
% 0.88/0.38 % SZS output start Proof for theBenchmark
% 0.88/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.88/0.38 thf(func_def_1, type, s: ($i > $i)).
% 0.88/0.38 thf(func_def_2, type, ite: ($o > $i > $i > $i)).
% 0.88/0.38 thf(func_def_8, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.88/0.38 thf(func_def_9, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.88/0.38 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 0.88/0.38 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.88/0.38 thf(func_def_13, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.88/0.38 thf(func_def_14, type, vNOT: ($o > $o)).
% 0.88/0.38 thf(func_def_15, type, sK3: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.88/0.38 thf(func_def_16, type, sK4: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.88/0.38 thf(func_def_17, type, sK5: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.88/0.38 thf(f1,conjecture,(
% 0.88/0.38 (! [X1 : $i,X2 : $i,X0 : $o] : (~X0 => (((ite @ X0 @ X1 @ X2)) = X2)) & ! [X0 : $o,X2 : $i,X1 : $i] : (X0 => (((ite @ X0 @ X1 @ X2)) = X1)) & ! [X3 : $i] : (((s @ X3)) != zero) & ! [X3 : $i] : (((s @ X3)) != X3)) => ? [X4 : ($i > $i)] : ((((X4 @ zero)) = ((s @ zero))) & (((X4 @ (s @ zero))) = zero) & (((X4 @ (s @ (s @ zero)))) = zero))),
% 0.88/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n9)).
% 0.88/0.38 thf(f2,negated_conjecture,(
% 0.88/0.38 ~((! [X1 : $i,X2 : $i,X0 : $o] : (~X0 => (((ite @ X0 @ X1 @ X2)) = X2)) & ! [X0 : $o,X2 : $i,X1 : $i] : (X0 => (((ite @ X0 @ X1 @ X2)) = X1)) & ! [X3 : $i] : (((s @ X3)) != zero) & ! [X3 : $i] : (((s @ X3)) != X3)) => ? [X4 : ($i > $i)] : ((((X4 @ zero)) = ((s @ zero))) & (((X4 @ (s @ zero))) = zero) & (((X4 @ (s @ (s @ zero)))) = zero)))),
% 0.88/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.88/0.38 thf(f3,plain,(
% 0.88/0.38 ~((! [X0 : $i,X1 : $i,X2 : $o] : (~X2 => (((ite @ X2 @ X0 @ X1)) = X1)) & ! [X3 : $o,X4 : $i,X5 : $i] : (X3 => (((ite @ X3 @ X5 @ X4)) = X5)) & ! [X6 : $i] : (zero != ((s @ X6))) & ! [X7 : $i] : (((s @ X7)) != X7)) => ? [X8 : ($i > $i)] : ((((s @ zero)) = ((X8 @ zero))) & (zero = ((X8 @ (s @ zero)))) & (zero = ((X8 @ (s @ (s @ zero)))))))),
% 0.88/0.38 inference(rectify,[],[f2])).
% 0.88/0.38 thf(f4,plain,(
% 0.88/0.38 ~((! [X0 : $i,X1 : $i,X2 : $o] : (~ ($true = X2) => (((ite @ X2 @ X0 @ X1)) = X1)) & ! [X3 : $o,X4 : $i,X5 : $i] : (($true = X3) => (((ite @ X3 @ X5 @ X4)) = X5)) & ! [X6 : $i] : (zero != ((s @ X6))) & ! [X7 : $i] : (((s @ X7)) != X7)) => ? [X8 : ($i > $i)] : ((zero = ((X8 @ (s @ (s @ zero))))) & (zero = ((X8 @ (s @ zero)))) & (((s @ zero)) = ((X8 @ zero)))))),
% 0.88/0.38 inference(fool_elimination,[],[f3])).
% 0.88/0.38 thf(f5,plain,(
% 0.88/0.38 ~((! [X6 : $i] : (zero != ((s @ X6))) & ! [X1 : $i,X2 : $o,X0 : $i] : (($true != X2) => (((ite @ X2 @ X0 @ X1)) = X1)) & ! [X7 : $i] : (((s @ X7)) != X7) & ! [X3 : $o,X4 : $i,X5 : $i] : (($true = X3) => (((ite @ X3 @ X5 @ X4)) = X5))) => ? [X8 : ($i > $i)] : ((zero = ((X8 @ (s @ (s @ zero))))) & (zero = ((X8 @ (s @ zero)))) & (((s @ zero)) = ((X8 @ zero)))))),
% 0.88/0.38 inference(flattening,[],[f4])).
% 0.88/0.38 thf(f6,plain,(
% 0.88/0.38 ! [X8 : ($i > $i)] : ((zero != ((X8 @ (s @ zero)))) | (((s @ zero)) != ((X8 @ zero))) | (zero != ((X8 @ (s @ (s @ zero)))))) & (! [X6 : $i] : (zero != ((s @ X6))) & ! [X1 : $i,X2 : $o,X0 : $i] : (($true = X2) | (((ite @ X2 @ X0 @ X1)) = X1)) & ! [X7 : $i] : (((s @ X7)) != X7) & ! [X5 : $i,X3 : $o,X4 : $i] : ((((ite @ X3 @ X5 @ X4)) = X5) | ($true != X3)))),
% 0.88/0.38 inference(ennf_transformation,[],[f5])).
% 0.88/0.38 thf(f7,plain,(
% 0.88/0.38 ! [X8 : ($i > $i)] : ((zero != ((X8 @ (s @ zero)))) | (((s @ zero)) != ((X8 @ zero))) | (zero != ((X8 @ (s @ (s @ zero)))))) & ! [X5 : $i,X3 : $o,X4 : $i] : ((((ite @ X3 @ X5 @ X4)) = X5) | ($true != X3)) & ! [X7 : $i] : (((s @ X7)) != X7) & ! [X6 : $i] : (zero != ((s @ X6))) & ! [X1 : $i,X2 : $o,X0 : $i] : (($true = X2) | (((ite @ X2 @ X0 @ X1)) = X1))),
% 0.88/0.38 inference(flattening,[],[f6])).
% 0.88/0.38 thf(f8,plain,(
% 0.88/0.38 ! [X0 : ($i > $i)] : ((zero != ((X0 @ (s @ zero)))) | (((s @ zero)) != ((X0 @ zero))) | (zero != ((X0 @ (s @ (s @ zero)))))) & ! [X1 : $i,X2 : $o,X3 : $i] : ((((ite @ X2 @ X1 @ X3)) = X1) | ($true != X2)) & ! [X4 : $i] : (((s @ X4)) != X4) & ! [X5 : $i] : (zero != ((s @ X5))) & ! [X6 : $i,X7 : $o,X8 : $i] : (($true = X7) | (((ite @ X7 @ X8 @ X6)) = X6))),
% 0.88/0.38 inference(rectify,[],[f7])).
% 0.88/0.38 thf(f9,plain,(
% 0.88/0.38 ( ! [X8 : $i,X6 : $i,X7 : $o] : ((((ite @ X7 @ X8 @ X6)) = X6) | ($true = X7)) )),
% 0.88/0.38 inference(cnf_transformation,[],[f8])).
% 0.88/0.38 thf(f10,plain,(
% 0.88/0.38 ( ! [X5 : $i] : ((zero != ((s @ X5)))) )),
% 0.88/0.38 inference(cnf_transformation,[],[f8])).
% 0.88/0.38 thf(f12,plain,(
% 0.88/0.38 ( ! [X2 : $o,X3 : $i,X1 : $i] : ((((ite @ X2 @ X1 @ X3)) = X1) | ($true != X2)) )),
% 0.88/0.38 inference(cnf_transformation,[],[f8])).
% 0.88/0.38 thf(f13,plain,(
% 0.88/0.38 ( ! [X0 : ($i > $i)] : ((zero != ((X0 @ (s @ zero)))) | (((s @ zero)) != ((X0 @ zero))) | (zero != ((X0 @ (s @ (s @ zero)))))) )),
% 0.88/0.38 inference(cnf_transformation,[],[f8])).
% 0.88/0.38 thf(f14,definition,(
% 0.88/0.38 ($false != $true)),
% 0.88/0.38 introduced(theory,[fool_distinctness_axiom])).
% 0.88/0.38 thf(f15,definition,(
% 0.88/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.88/0.38 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.88/0.38 thf(f16,plain,(
% 0.88/0.38 ( ! [X3 : $i,X1 : $i] : ((((ite @ $true @ X1 @ X3)) = X1)) )),
% 0.88/0.38 inference(equality_resolution,[],[f12])).
% 0.88/0.38 thf(f17,definition,(
% 0.88/0.38 (sF0 = ((s @ zero)))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.88/0.38 thf(f18,plain,(
% 0.88/0.38 (((s @ zero)) = sF0)),
% 0.88/0.38 inference(reorient_equations,[],[f17])).
% 0.88/0.38 thf(f19,definition,(
% 0.88/0.38 (sF1 = ((s @ sF0)))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.88/0.38 thf(f20,plain,(
% 0.88/0.38 ( ! [X0 : ($i > $i)] : ((((X0 @ zero)) != sF0) | (zero != ((X0 @ sF0))) | (zero != ((X0 @ sF1)))) )),
% 0.88/0.38 inference(definition_folding,[],[f13,f19,f18,f18,f18])).
% 0.88/0.38 thf(f22,definition,(
% 0.88/0.38 spl2_1 <=> (((s @ zero)) = sF0)),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.88/0.38 thf(f24,plain,(
% 0.88/0.38 (((s @ zero)) = sF0) | ~spl2_1),
% 0.88/0.38 inference(avatar_component_clause,[],[f22])).
% 0.88/0.38 thf(f25,plain,(
% 0.88/0.38 spl2_1),
% 0.88/0.38 inference(avatar_split_clause,[],[f18,f22])).
% 0.88/0.38 thf(f27,definition,(
% 0.88/0.38 spl2_2 <=> (sF1 = ((s @ sF0)))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.88/0.38 thf(f29,plain,(
% 0.88/0.38 (sF1 = ((s @ sF0))) | ~spl2_2),
% 0.88/0.38 inference(avatar_component_clause,[],[f27])).
% 0.88/0.38 thf(f30,plain,(
% 0.88/0.38 spl2_2),
% 0.88/0.38 inference(avatar_split_clause,[],[f19,f27])).
% 0.88/0.38 thf(f32,definition,(
% 0.88/0.38 spl2_3 <=> ($false = $true)),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.88/0.38 thf(f34,plain,(
% 0.88/0.38 ($false != $true) | spl2_3),
% 0.88/0.38 inference(avatar_component_clause,[],[f32])).
% 0.88/0.38 thf(f35,plain,(
% 0.88/0.38 ~spl2_3),
% 0.88/0.38 inference(avatar_split_clause,[],[f14,f32])).
% 0.88/0.38 thf(f43,plain,(
% 0.88/0.38 (zero != sF0) | ~spl2_1),
% 0.88/0.38 inference(constrained_superposition,[],[f10,f24])).
% 0.88/0.38 thf(f44,plain,(
% 0.88/0.38 (zero != sF1) | ~spl2_2),
% 0.88/0.38 inference(constrained_superposition,[],[f10,f29])).
% 0.88/0.38 thf(f46,definition,(
% 0.88/0.38 spl2_4 <=> (zero = sF0)),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.88/0.38 thf(f48,plain,(
% 0.88/0.38 (zero != sF0) | spl2_4),
% 0.88/0.38 inference(avatar_component_clause,[],[f46])).
% 0.88/0.38 thf(f49,plain,(
% 0.88/0.38 ~spl2_4 | ~spl2_1),
% 0.88/0.38 inference(avatar_split_clause,[],[f43,f22,f46])).
% 0.88/0.38 thf(f51,definition,(
% 0.88/0.38 spl2_5 <=> (zero = sF1)),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition])).
% 0.88/0.38 thf(f53,plain,(
% 0.88/0.38 (zero != sF1) | spl2_5),
% 0.88/0.38 inference(avatar_component_clause,[],[f51])).
% 0.88/0.38 thf(f54,plain,(
% 0.88/0.38 ~spl2_5 | ~spl2_2),
% 0.88/0.38 inference(avatar_split_clause,[],[f44,f27,f51])).
% 0.88/0.38 thf(f62,plain,(
% 0.88/0.38 ( ! [X2 : $i,X0 : $o,X1 : $i] : ((((ite @ X0 @ X1 @ X2)) = X1) | ($false = X0)) )),
% 0.88/0.38 inference(constrained_superposition,[],[f16,f15])).
% 0.88/0.38 thf(f89,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((sF0 != X0) | (((X3 @ zero)) != X0) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0))) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF1))) | ($true = X4) | (((X2 @ zero)) != X5) | (((X1 @ zero)) != X4)) )),
% 0.88/0.38 inference(constrained_superposition,[],[f20,f9])).
% 0.88/0.38 thf(f90,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((((X2 @ zero)) != X5) | (((X3 @ zero)) != X0) | ($true = X4) | ($true = X4) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF1))) | (sF0 != X0) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0))) | (((X1 @ zero)) = $true)) )),
% 0.88/0.38 inference(xor_proxy_clausification,[],[f89])).
% 0.88/0.38 thf(f93,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((((X1 @ zero)) = $true) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0))) | (((X3 @ zero)) != X0) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF1))) | (((X2 @ zero)) != X5) | ($true = X4) | (sF0 != X0)) )),
% 0.88/0.38 inference(duplicate_literal_removal,[],[f90])).
% 0.88/0.38 thf(f94,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | ($true = X4) | (((X1 @ zero)) = $true) | (((X3 @ zero)) != X0) | (zero != ((ite @ (X1 @ sF1) @ (X2 @ sF1) @ (X3 @ sF1)))) | (sF0 != X0) | (((X2 @ zero)) != X5)) )),
% 0.88/0.38 inference(beta-eta_normalization,[],[f93])).
% 0.88/0.38 thf(f96,definition,(
% 0.88/0.38 spl2_9 <=> ! [X3 : ($i > $i),X0 : $i,X5 : $i,X2 : ($i > $i),X1 : ($i > $o)] : ((zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | (((X2 @ zero)) != X5) | (sF0 != X0) | (zero != ((ite @ (X1 @ sF1) @ (X2 @ sF1) @ (X3 @ sF1)))) | (((X3 @ zero)) != X0) | (((X1 @ zero)) = $true))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition])).
% 0.88/0.38 thf(f97,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X5 : $i] : ((zero != ((ite @ (X1 @ sF1) @ (X2 @ sF1) @ (X3 @ sF1)))) | (sF0 != X0) | (((X1 @ zero)) = $true) | (zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | (((X2 @ zero)) != X5) | (((X3 @ zero)) != X0)) ) | ~spl2_9),
% 0.88/0.38 inference(avatar_component_clause,[],[f96])).
% 0.88/0.38 thf(f99,definition,(
% 0.88/0.38 spl2_10 <=> ! [X4 : $o] : ($true = X4)),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition])).
% 0.88/0.38 thf(f100,plain,(
% 0.88/0.38 ( ! [X4 : $o] : (($true = X4)) ) | ~spl2_10),
% 0.88/0.38 inference(avatar_component_clause,[],[f99])).
% 0.88/0.38 thf(f101,plain,(
% 0.88/0.38 spl2_9 | spl2_10),
% 0.88/0.38 inference(avatar_split_clause,[],[f94,f99,f96])).
% 0.88/0.38 thf(f106,plain,(
% 0.88/0.38 ( ! [X0 : $o] : (($false != X0)) ) | (spl2_3 | ~spl2_10)),
% 0.88/0.38 inference(constrained_superposition,[],[f34,f100])).
% 0.88/0.38 thf(f115,plain,(
% 0.88/0.38 $false | (spl2_3 | ~spl2_10)),
% 0.88/0.38 inference(equality_resolution,[],[f106])).
% 0.88/0.38 thf(f116,plain,(
% 0.88/0.38 spl2_3 | ~spl2_10),
% 0.88/0.38 inference(avatar_contradiction_clause,[],[f115])).
% 0.88/0.38 thf(f310,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $i),X1 : ($i > $o),X4 : $i] : ((zero != ((ite @ (X1 @ sF0) @ (X0 @ sF0) @ (X2 @ sF0)))) | (((X1 @ zero)) = $true) | (sF0 != X3) | ($false = ((X1 @ sF1))) | (zero != ((X0 @ sF1))) | (((X0 @ zero)) != X4) | (((X2 @ zero)) != X3)) ) | ~spl2_9),
% 0.88/0.38 inference(constrained_superposition,[],[f97,f62])).
% 0.88/0.38 thf(f420,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : ($i > $i),X4 : $i] : ((zero != ((ite @ $true @ (X1 @ sF0) @ (X2 @ sF0)))) | ($false = ((X0 @ sF0))) | ($false = ((X0 @ sF1))) | (((X1 @ zero)) != X4) | (((X2 @ zero)) != X3) | ($true = ((X0 @ zero))) | (zero != ((X1 @ sF1))) | (sF0 != X3)) ) | ~spl2_9),
% 0.88/0.38 inference(constrained_superposition,[],[f310,f15])).
% 0.88/0.38 thf(f457,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : ($i > $i),X4 : $i] : ((zero != ((X1 @ sF0))) | ($false = ((X0 @ sF1))) | (((X2 @ zero)) != X3) | ($false = ((X0 @ sF0))) | (sF0 != X3) | (((X1 @ zero)) != X4) | ($true = ((X0 @ zero))) | (zero != ((X1 @ sF1)))) ) | ~spl2_9),
% 0.88/0.38 inference(forward_demodulation,[],[f420,f16])).
% 0.88/0.38 thf(f468,definition,(
% 0.88/0.38 spl2_40 <=> ! [X1 : ($i > $o)] : ((((X1 @ zero)) = $true) | (((X1 @ sF0)) = $false) | ($false = ((X1 @ sF1))))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition])).
% 0.88/0.38 thf(f469,plain,(
% 0.88/0.38 ( ! [X1 : ($i > $o)] : (($false = ((X1 @ sF1))) | (((X1 @ sF0)) = $false) | (((X1 @ zero)) = $true)) ) | ~spl2_40),
% 0.88/0.38 inference(avatar_component_clause,[],[f468])).
% 0.88/0.38 thf(f471,definition,(
% 0.88/0.38 spl2_41 <=> ! [X2 : ($i > $i),X3 : $i] : ((((X2 @ zero)) != X3) | (sF0 != X3))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition])).
% 0.88/0.38 thf(f472,plain,(
% 0.88/0.38 ( ! [X2 : ($i > $i),X3 : $i] : ((sF0 != X3) | (((X2 @ zero)) != X3)) ) | ~spl2_41),
% 0.88/0.38 inference(avatar_component_clause,[],[f471])).
% 0.88/0.38 thf(f474,definition,(
% 0.88/0.38 spl2_42 <=> ! [X4 : $i,X0 : ($i > $i)] : ((zero != ((X0 @ sF0))) | (zero != ((X0 @ sF1))) | (((X0 @ zero)) != X4))),
% 0.88/0.38 introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition])).
% 0.88/0.38 thf(f475,plain,(
% 0.88/0.38 ( ! [X0 : ($i > $i),X4 : $i] : ((zero != ((X0 @ sF1))) | (zero != ((X0 @ sF0))) | (((X0 @ zero)) != X4)) ) | ~spl2_42),
% 0.88/0.38 inference(avatar_component_clause,[],[f474])).
% 0.88/0.38 thf(f505,plain,(
% 0.88/0.38 spl2_40 | spl2_41 | spl2_42 | ~spl2_9),
% 0.88/0.38 inference(avatar_split_clause,[],[f457,f96,f474,f471,f468])).
% 0.88/0.38 thf(f521,plain,(
% 0.88/0.38 (zero = sF1) | ($false = (((^[Y0 : $i]: (~ (Y0 = zero))) @ sF0))) | ~spl2_40),
% 0.88/0.38 inference(leibniz_equality_elimination,[],[f469])).
% 0.88/0.38 thf(f556,plain,(
% 0.88/0.38 (zero = sF1) | ($false = ((~ (sF0 = zero)))) | ~spl2_40),
% 0.88/0.38 inference(beta-eta_normalization,[],[f521])).
% 0.88/0.38 thf(f557,plain,(
% 0.88/0.38 (((sF0 = zero)) = $true) | (zero = sF1) | ~spl2_40),
% 0.88/0.38 inference(not_proxy_clausification,[],[f556])).
% 0.88/0.38 thf(f558,plain,(
% 0.88/0.38 (zero = sF0) | (zero = sF1) | ~spl2_40),
% 0.88/0.38 inference(equality_proxy_clausification,[],[f557])).
% 0.88/0.38 thf(f571,plain,(
% 0.88/0.38 (zero = sF1) | (spl2_4 | ~spl2_40)),
% 0.88/0.38 inference(forward_subsumption_resolution,[],[f558,f48])).
% 0.88/0.38 thf(f579,plain,(
% 0.88/0.38 $false | (spl2_4 | spl2_5 | ~spl2_40)),
% 0.88/0.38 inference(forward_subsumption_resolution,[],[f571,f53])).
% 0.88/0.38 thf(f580,plain,(
% 0.88/0.38 spl2_4 | spl2_5 | ~spl2_40),
% 0.88/0.38 inference(avatar_contradiction_clause,[],[f579])).
% 0.88/0.38 thf(f581,plain,(
% 0.88/0.38 ( ! [X0 : ($i > $i)] : ((((X0 @ zero)) != sF0)) ) | ~spl2_41),
% 0.88/0.38 inference(equality_resolution,[],[f472])).
% 0.88/0.38 thf(f588,plain,(
% 0.88/0.38 $false | ~spl2_41),
% 0.88/0.38 inference(equality_resolution,[],[f581])).
% 0.88/0.38 thf(f599,plain,(
% 0.88/0.38 ~spl2_41),
% 0.88/0.38 inference(avatar_contradiction_clause,[],[f588])).
% 0.88/0.38 thf(f605,plain,(
% 0.88/0.38 ( ! [X0 : $i] : (((((^[Y0 : $i]: (zero)) @ zero)) != X0) | (zero != (((^[Y0 : $i]: (zero)) @ sF0)))) ) | ~spl2_42),
% 0.88/0.38 inference(equality_resolution,[],[f475])).
% 0.88/0.38 thf(f612,plain,(
% 0.88/0.38 ( ! [X0 : $i] : ((zero != zero) | (zero != X0)) ) | ~spl2_42),
% 0.88/0.38 inference(beta-eta_normalization,[],[f605])).
% 0.88/0.38 thf(f613,plain,(
% 0.88/0.38 ( ! [X0 : $i] : ((zero != X0)) ) | ~spl2_42),
% 0.88/0.38 inference(trivial_inequality_removal,[],[f612])).
% 0.88/0.38 thf(f626,plain,(
% 0.88/0.38 $false | ~spl2_42),
% 0.88/0.38 inference(equality_resolution,[],[f613])).
% 0.88/0.38 thf(f627,plain,(
% 0.88/0.38 ~spl2_42),
% 0.88/0.38 inference(avatar_contradiction_clause,[],[f626])).
% 0.88/0.38 cnf(s1, plain, spl2_1, inference(sat_conversion,[],[f25])).
% 0.88/0.38 cnf(s2, plain, spl2_2, inference(sat_conversion,[],[f30])).
% 0.88/0.38 cnf(s3, plain, ~spl2_3, inference(sat_conversion,[],[f35])).
% 0.88/0.38 cnf(s4, plain, ~spl2_1 | ~spl2_4, inference(sat_conversion,[],[f49])).
% 0.88/0.38 cnf(s5, plain, ~spl2_2 | ~spl2_5, inference(sat_conversion,[],[f54])).
% 0.88/0.38 cnf(s9, plain, spl2_9 | spl2_10, inference(sat_conversion,[],[f101])).
% 0.88/0.38 cnf(s10, plain, spl2_3 | ~spl2_10, inference(sat_conversion,[],[f116])).
% 0.88/0.38 cnf(s42, plain, ~spl2_9 | spl2_40 | spl2_41 | spl2_42, inference(sat_conversion,[],[f505])).
% 0.88/0.38 cnf(s48, plain, spl2_4 | spl2_5 | ~spl2_40, inference(sat_conversion,[],[f580])).
% 0.88/0.38 cnf(s51, plain, ~spl2_41, inference(sat_conversion,[],[f599])).
% 0.88/0.38 cnf(s53, plain, ~spl2_42, inference(sat_conversion,[],[f627])).
% 0.88/0.38 cnf(s54, plain, ~spl2_9 | spl2_40, inference(rat,[],[s42,s53,s51])).
% 0.88/0.38 cnf(s64, plain, ~spl2_10, inference(rat,[],[s10,s3])).
% 0.88/0.38 cnf(s72, plain, spl2_9, inference(rat,[],[s9,s64])).
% 0.88/0.38 cnf(s75, plain, spl2_40, inference(rat,[],[s54,s72])).
% 0.88/0.38 cnf(s87, plain, ~spl2_5, inference(rat,[],[s5,s2])).
% 0.88/0.38 cnf(s88, plain, spl2_4, inference(rat,[],[s48,s75,s87])).
% 0.88/0.38 cnf(s89, plain, ~spl2_1, inference(rat,[],[s4,s88])).
% 0.88/0.38 cnf(s90, plain, $false, inference(rat,[],[s1,s89])).
% 0.88/0.38 thf(f628,plain,(
% 0.88/0.38 $false),
% 0.88/0.38 inference(avatar_sat_refutation,[],[s90])).
% 0.88/0.38 % SZS output end Proof for theBenchmark
% 0.88/0.38 % (2819017)------------------------------
% 0.88/0.38 % (2819017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.38 % (2819017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.38 % (2819017)CaDiCaL version: 2.1.3
% 0.88/0.38 % (2819017)Termination reason: Refutation
% 0.88/0.38 % (2819017)Time elapsed: 0.014 s
% 0.88/0.38 % (2819017)Peak memory usage: 13 MB
% 0.88/0.38 % (2819017)Instructions burned: 50 (million)
% 0.88/0.38 % (2818948)Success in time 0.132 s
% 0.88/0.38 % Vampire exiting
%------------------------------------------------------------------------------