%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM193^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:25 AM UTC 2026
% Result : Theorem 0.37s 0.44s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM193^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.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 17:50:46 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.28 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
% 0.37/0.43 % (1991776)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.37/0.43 % (1991798)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3733819996:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.37/0.43 % (1991804)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.37/0.43 % (1991804)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
% 0.37/0.43 % (1991800)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1991925051:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.37/0.43 % (1991804)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=1141797578:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.37/0.43 % (1991803)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3246218041:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.37/0.43 % (1991802)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2639698865:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.37/0.43 % (1991801)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=3675073125: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)
% 0.37/0.43 % (1991800)Instruction limit reached!
% 0.37/0.43 % (1991800)------------------------------
% 0.37/0.43 % (1991800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.43 % (1991799)lrs+10_16_si=on:nwc=1.5:random_seed=4178549076:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.37/0.43 % (1991800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.43 % (1991800)CaDiCaL version: 2.1.3
% 0.37/0.43 % (1991800)Termination reason: Instruction limit
% 0.37/0.43 % (1991800)Termination phase: shuffling
% 0.37/0.43 % (1991800)Time elapsed: 0.003 s
% 0.37/0.43 % (1991800)Peak memory usage: 10 MB
% 0.37/0.43 % (1991800)Instructions burned: 5 (million)
% 0.37/0.43 % (1991802)Instruction limit reached!
% 0.37/0.43 % (1991802)------------------------------
% 0.37/0.43 % (1991802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.43 % (1991802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.43 % (1991802)CaDiCaL version: 2.1.3
% 0.37/0.43 % (1991802)Termination reason: Instruction limit
% 0.37/0.43 % (1991802)Termination phase: Property scanning
% 0.37/0.43 % (1991802)Time elapsed: 0.012 s
% 0.37/0.43 % (1991802)Peak memory usage: 10 MB
% 0.37/0.43 % (1991802)Instructions burned: 25 (million)
% 0.37/0.43 % (1991799)Instruction limit reached!
% 0.37/0.43 % (1991799)------------------------------
% 0.37/0.43 % (1991799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.43 % (1991799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.43 % (1991799)CaDiCaL version: 2.1.3
% 0.37/0.43 % (1991799)Termination reason: Instruction limit
% 0.37/0.43 % (1991799)Termination phase: Property scanning
% 0.37/0.43 % (1991799)Time elapsed: 0.010 s
% 0.37/0.43 % (1991799)Peak memory usage: 10 MB
% 0.37/0.43 % (1991799)Instructions burned: 20 (million)
% 0.37/0.43 % (1991798)Instruction limit reached!
% 0.37/0.43 % (1991798)------------------------------
% 0.37/0.43 % (1991798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.43 % (1991798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.43 % (1991798)CaDiCaL version: 2.1.3
% 0.37/0.43 % (1991798)Termination reason: Instruction limit
% 0.37/0.43 % (1991798)Termination phase: Saturation
% 0.37/0.43 % (1991798)Time elapsed: 0.022 s
% 0.37/0.43 % (1991798)Peak memory usage: 12 MB
% 0.37/0.43 % (1991798)Instructions burned: 87 (million)
% 0.37/0.43 % (1991821)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1969221793:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.43 % (1991821)Instruction limit reached!
% 0.37/0.43 % (1991821)------------------------------
% 0.37/0.43 % (1991821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991821)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991821)Termination reason: Instruction limit
% 0.37/0.44 % (1991821)Termination phase: shuffling
% 0.37/0.44 % (1991821)Time elapsed: 0.002 s
% 0.37/0.44 % (1991821)Peak memory usage: 10 MB
% 0.37/0.44 % (1991821)Instructions burned: 3 (million)
% 0.37/0.44 % (1991826)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.44 % (1991824)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1290490427:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.37/0.44 % (1991826)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3891912239:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.37/0.44 % (1991824)Instruction limit reached!
% 0.37/0.44 % (1991824)------------------------------
% 0.37/0.44 % (1991824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991824)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991824)Termination reason: Instruction limit
% 0.37/0.44 % (1991824)Termination phase: shuffling
% 0.37/0.44 % (1991824)Time elapsed: 0.003 s
% 0.37/0.44 % (1991824)Peak memory usage: 10 MB
% 0.37/0.44 % (1991824)Instructions burned: 6 (million)
% 0.37/0.44 % (1991828)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3681997510:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.37/0.44 % (1991826)Instruction limit reached!
% 0.37/0.44 % (1991826)------------------------------
% 0.37/0.44 % (1991826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991826)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991826)Termination reason: Instruction limit
% 0.37/0.44 % (1991826)Termination phase: shuffling
% 0.37/0.44 % (1991826)Time elapsed: 0.004 s
% 0.37/0.44 % (1991826)Peak memory usage: 10 MB
% 0.37/0.44 % (1991826)Instructions burned: 8 (million)
% 0.37/0.44 % (1991803)Instruction limit reached!
% 0.37/0.44 % (1991803)------------------------------
% 0.37/0.44 % (1991803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991803)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991803)Termination reason: Instruction limit
% 0.37/0.44 % (1991803)Termination phase: Property scanning
% 0.37/0.44 % (1991803)Time elapsed: 0.037 s
% 0.37/0.44 % (1991803)Peak memory usage: 12 MB
% 0.37/0.44 % (1991803)Instructions burned: 76 (million)
% 0.37/0.44 % (1991832)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
% 0.37/0.44 % (1991832)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.44 % (1991832)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1036295181:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.37/0.44 % (1991828)Instruction limit reached!
% 0.37/0.44 % (1991828)------------------------------
% 0.37/0.44 % (1991828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991828)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991828)Termination reason: Instruction limit
% 0.37/0.44 % (1991828)Termination phase: shuffling
% 0.37/0.44 % (1991828)Time elapsed: 0.006 s
% 0.37/0.44 % (1991828)Peak memory usage: 10 MB
% 0.37/0.44 % (1991828)Instructions burned: 12 (million)
% 0.37/0.44 % (1991839)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.37/0.44 % (1991835)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=2620532259:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.37/0.44 % (1991838)lrs+10_1_si=on:cs=on:random_seed=1389653316:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.37/0.44 % (1991839)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=3438703750:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.44 % (1991832)Instruction limit reached!
% 0.37/0.44 % (1991832)------------------------------
% 0.37/0.44 % (1991832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991832)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991832)Termination reason: Instruction limit
% 0.37/0.44 % (1991832)Termination phase: Property scanning
% 0.37/0.44 % (1991832)Time elapsed: 0.014 s
% 0.37/0.44 % (1991832)Peak memory usage: 10 MB
% 0.37/0.44 % (1991832)Instructions burned: 30 (million)
% 0.37/0.44 % (1991839)Instruction limit reached!
% 0.37/0.44 % (1991839)------------------------------
% 0.37/0.44 % (1991839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991839)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991839)Termination reason: Instruction limit
% 0.37/0.44 % (1991839)Termination phase: shuffling
% 0.37/0.44 % (1991839)Time elapsed: 0.002 s
% 0.37/0.44 % (1991839)Peak memory usage: 10 MB
% 0.37/0.44 % (1991839)Instructions burned: 3 (million)
% 0.37/0.44 % (1991838)Instruction limit reached!
% 0.37/0.44 % (1991838)------------------------------
% 0.37/0.44 % (1991838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991838)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991838)Termination reason: Instruction limit
% 0.37/0.44 % (1991838)Termination phase: shuffling
% 0.37/0.44 % (1991838)Time elapsed: 0.004 s
% 0.37/0.44 % (1991838)Peak memory usage: 10 MB
% 0.37/0.44 % (1991838)Instructions burned: 8 (million)
% 0.37/0.44 % (1991843)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=646185184:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.37/0.44 % (1991852)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1147258028:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.37/0.44 % (1991852)Instruction limit reached!
% 0.37/0.44 % (1991852)------------------------------
% 0.37/0.44 % (1991852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991852)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991852)Termination reason: Instruction limit
% 0.37/0.44 % (1991852)Termination phase: Property scanning
% 0.37/0.44 % (1991852)Time elapsed: 0.004 s
% 0.37/0.44 % (1991852)Peak memory usage: 10 MB
% 0.37/0.44 % (1991852)Instructions burned: 16 (million)
% 0.37/0.44 % (1991850)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3448655799:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.37/0.44 % (1991851)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=25761325:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.37/0.44 % (1991843)Instruction limit reached!
% 0.37/0.44 % (1991843)------------------------------
% 0.37/0.44 % (1991843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991843)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991843)Termination reason: Instruction limit
% 0.37/0.44 % (1991843)Termination phase: Property scanning
% 0.37/0.44 % (1991843)Time elapsed: 0.019 s
% 0.37/0.44 % (1991843)Peak memory usage: 11 MB
% 0.37/0.44 % (1991843)Instructions burned: 39 (million)
% 0.37/0.44 % (1991804)Instruction limit reached!
% 0.37/0.44 % (1991804)------------------------------
% 0.37/0.44 % (1991804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991804)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991804)Termination reason: Instruction limit
% 0.37/0.44 % (1991804)Termination phase: Saturation
% 0.37/0.44 % (1991804)Time elapsed: 0.084 s
% 0.37/0.44 % (1991804)Peak memory usage: 13 MB
% 0.37/0.44 % (1991804)Instructions burned: 157 (million)
% 0.37/0.44 % (1991860)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=730004570:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.37/0.44 % (1991851)Instruction limit reached!
% 0.37/0.44 % (1991851)------------------------------
% 0.37/0.44 % (1991851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991851)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991851)Termination reason: Instruction limit
% 0.37/0.44 % (1991851)Termination phase: SInE selection
% 0.37/0.44 % (1991851)Time elapsed: 0.012 s
% 0.37/0.44 % (1991851)Peak memory usage: 10 MB
% 0.37/0.44 % (1991851)Instructions burned: 26 (million)
% 0.37/0.44 % (1991835)Instruction limit reached!
% 0.37/0.44 % (1991835)------------------------------
% 0.37/0.44 % (1991835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991835)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991835)Termination reason: Instruction limit
% 0.37/0.44 % (1991835)Termination phase: Property scanning
% 0.37/0.44 % (1991835)Time elapsed: 0.037 s
% 0.37/0.44 % (1991835)Peak memory usage: 11 MB
% 0.37/0.44 % (1991835)Instructions burned: 86 (million)
% 0.37/0.44 % (1991801) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1991776-1991801"...
% 0.37/0.44 % (1991801)...printing done.
% 0.37/0.44 % (1991850)Refutation not found, incomplete strategy
% 0.37/0.44 % (1991850)------------------------------
% 0.37/0.44 % (1991850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991850)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991850)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.44 % (1991850)Time elapsed: 0.018 s
% 0.37/0.44 % (1991850)Peak memory usage: 12 MB
% 0.37/0.44 % (1991850)Instructions burned: 37 (million)
% 0.37/0.44 % (1991801)Refutation found. Thanks to Tanya!
% 0.37/0.44 % SZS status Theorem for theBenchmark
% 0.37/0.44 % SZS output start Proof for theBenchmark
% 0.37/0.44 thf(type_def_5, type, sum_sum: ($tType * $tType) > $tType).
% 0.37/0.44 thf(type_def_6, type, dtree: $tType).
% 0.37/0.44 thf(type_def_7, type, set: $tType > $tType).
% 0.37/0.44 thf(type_def_8, type, t: $tType).
% 0.37/0.44 thf(type_def_9, type, n: $tType).
% 0.37/0.44 thf(type_def_10, type, itself: $tType > $tType).
% 0.37/0.44 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.37/0.44 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_7, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_8, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_9, type, boolean_algebra: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_10, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.37/0.44 thf(func_def_11, type, node: (n > set @ sum_sum @ t @ dtree > dtree)).
% 0.37/0.44 thf(func_def_12, type, corec: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ sum_sum @ dtree @ X0) > X0 > dtree))).
% 0.37/0.44 thf(func_def_13, type, root: (dtree > n)).
% 0.37/0.44 thf(func_def_14, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 0.37/0.44 thf(func_def_15, type, gram_L861583724lle_Fr: (set @ n > dtree > set @ t)).
% 0.37/0.44 thf(func_def_16, type, gram_L1451583624elle_H: (dtree > n > dtree)).
% 0.37/0.44 thf(func_def_17, type, gram_L1221482011le_H_c: (dtree > n > set @ sum_sum @ t @ n)).
% 0.37/0.44 thf(func_def_18, type, gram_L1221482026le_H_r: (dtree > n > n)).
% 0.37/0.44 thf(func_def_19, type, gram_L1451583628elle_L: (set @ n > n > set @ set @ t)).
% 0.37/0.44 thf(func_def_20, type, gram_L1231612515_deftr: (n > dtree)).
% 0.37/0.44 thf(func_def_21, type, gram_L1004374585hsubst: (dtree > dtree > dtree)).
% 0.37/0.44 thf(func_def_22, type, gram_L1905609002ubst_c: (dtree > dtree > set @ sum_sum @ t @ dtree)).
% 0.37/0.44 thf(func_def_23, type, gram_L1905609017ubst_r: (dtree > n)).
% 0.37/0.44 thf(func_def_24, type, gram_L1333338417e_inFr: (set @ n > dtree > t > $o)).
% 0.37/0.44 thf(func_def_25, type, gram_L830233218_inItr: (set @ n > dtree > n > $o)).
% 0.37/0.44 thf(func_def_26, type, gram_L315592705e_pick: (dtree > n > dtree)).
% 0.37/0.44 thf(func_def_27, type, gram_L1828378864e_rcut: (dtree > dtree)).
% 0.37/0.44 thf(func_def_28, type, gram_L1918716148le_reg: ((n > dtree) > dtree > $o)).
% 0.37/0.44 thf(func_def_29, type, gram_L646766332egular: (dtree > $o)).
% 0.37/0.44 thf(func_def_30, type, gram_L716654942_subtr: (set @ n > dtree > dtree > $o)).
% 0.37/0.44 thf(func_def_31, type, gram_L864798063lle_wf: (dtree > $o)).
% 0.37/0.44 thf(func_def_32, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.37/0.44 thf(func_def_33, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.37/0.44 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_35, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.37/0.44 thf(func_def_36, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.37/0.44 thf(func_def_37, type, top_top: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_38, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.37/0.44 thf(func_def_39, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.37/0.44 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.37/0.44 thf(func_def_41, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 0.37/0.44 thf(func_def_42, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.37/0.44 thf(func_def_43, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.37/0.44 thf(func_def_44, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.37/0.44 thf(func_def_45, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.37/0.44 thf(func_def_46, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.37/0.44 thf(func_def_47, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.37/0.44 thf(func_def_49, type, n2: n).
% 0.37/0.44 thf(func_def_50, type, ns: set @ n).
% 0.37/0.44 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.37/0.44 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.37/0.44 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.37/0.44 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.37/0.44 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.37/0.44 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 0.37/0.44 thf(func_def_64, type, vNOT: ($o > $o)).
% 0.37/0.44 thf(func_def_65, type, vOR: ($o > $o > $o)).
% 0.37/0.44 thf(func_def_66, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.37/0.44 thf(func_def_67, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.37/0.44 thf(func_def_68, type, sK2: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_69, type, sK3: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_70, type, sK4: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_71, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_72, type, sK6: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_73, type, sK7: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 0.37/0.44 thf(func_def_74, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_75, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_76, type, sK10: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_77, type, sK11: !>[X0: $tType]:(X0)).
% 0.37/0.44 thf(func_def_78, type, sK12: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.37/0.44 thf(func_def_79, type, sK13: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_80, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_81, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_82, type, sK16: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_83, type, sK17: (dtree > dtree > n)).
% 0.37/0.44 thf(func_def_84, type, sK18: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > set @ X0 > X0))).
% 0.37/0.44 thf(func_def_85, type, sK19: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.37/0.44 thf(func_def_86, type, sK20: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_87, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_88, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.37/0.44 thf(func_def_89, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.37/0.44 thf(func_def_90, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_91, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_92, type, sK26: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.37/0.44 thf(func_def_93, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_94, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.37/0.44 thf(func_def_95, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.37/0.44 thf(func_def_96, type, sK30: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_97, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.37/0.44 thf(func_def_98, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_99, type, sK33: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_100, type, sK34: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_101, type, sK35: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_102, type, sK36: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.37/0.44 thf(func_def_103, type, sK37: (set @ n > n > dtree > dtree)).
% 0.37/0.44 thf(func_def_104, type, sK38: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.37/0.44 thf(func_def_105, type, sK39: !>[X0: $tType]:((set @ X0 > X0))).
% 0.37/0.44 thf(func_def_107, type, sK41: (dtree > n > dtree)).
% 0.37/0.44 thf(f1,axiom,(
% 0.37/0.44 ~(member @ n @ n2 @ ns)),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 0.37/0.44 thf(f2,axiom,(
% 0.37/0.44 ! [X1 : set @ n,X0 : dtree] : (~(member @ n @ (root @ X0) @ X1) => (((gram_L861583724lle_Fr @ X1 @ X0)) = bot_bot @ set @ t))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_not__root__Fr)).
% 0.37/0.44 thf(f9,axiom,(
% 0.37/0.44 ! [X0 : dtree] : (((root @ (gram_L1828378864e_rcut @ X0))) = ((root @ X0)))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_root__rcut)).
% 0.37/0.44 thf(f18,axiom,(
% 0.37/0.44 ! [X0 : dtree] : ((gram_L864798063lle_wf @ X0) => (gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0)))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_wf__rcut)).
% 0.37/0.44 thf(f19,axiom,(
% 0.37/0.44 ! [X0 : dtree] : (gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_regular__rcut)).
% 0.37/0.44 thf(f28,axiom,(
% 0.37/0.44 ! [X0 : n] : (((root @ (gram_L1231612515_deftr @ X0))) = X0)),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_root__deftr)).
% 0.37/0.44 thf(f40,axiom,(
% 0.37/0.44 ! [X0 : n] : (gram_L864798063lle_wf @ (gram_L1231612515_deftr @ X0))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_wf__deftr)).
% 0.37/0.44 thf(f283,conjecture,(
% 0.37/0.44 ? [X0 : dtree] : ((bot_bot @ set @ t = ((gram_L861583724lle_Fr @ ns @ X0))) & (gram_L646766332egular @ X0) & (gram_L864798063lle_wf @ X0) & (((root @ X0)) = n2))),
% 0.37/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.37/0.44 thf(f284,negated_conjecture,(
% 0.37/0.44 ~ ? [X0 : dtree] : ((bot_bot @ set @ t = ((gram_L861583724lle_Fr @ ns @ X0))) & (gram_L646766332egular @ X0) & (gram_L864798063lle_wf @ X0) & (((root @ X0)) = n2))),
% 0.37/0.44 inference(negated_conjecture,[status(cth)],[f283])).
% 0.37/0.44 thf(f292,plain,(
% 0.37/0.44 ! [X0 : n] : (gram_L864798063lle_wf @ (gram_L1231612515_deftr @ X0))),
% 0.37/0.44 inference(rectify,[],[f40])).
% 0.37/0.44 thf(f293,plain,(
% 0.37/0.44 ! [X0 : n] : (((gram_L864798063lle_wf @ (gram_L1231612515_deftr @ X0))) = $true)),
% 0.37/0.44 inference(fool_elimination,[],[f292])).
% 0.37/0.44 thf(f314,plain,(
% 0.37/0.44 ! [X0 : dtree] : ((gram_L864798063lle_wf @ X0) => (gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0)))),
% 0.37/0.44 inference(rectify,[],[f18])).
% 0.37/0.44 thf(f315,plain,(
% 0.37/0.44 ! [X0 : dtree] : ((((gram_L864798063lle_wf @ X0)) = $true) => (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) = $true))),
% 0.37/0.44 inference(fool_elimination,[],[f314])).
% 0.37/0.44 thf(f352,plain,(
% 0.37/0.44 ! [X0 : set @ n,X1 : dtree] : (~(member @ n @ (root @ X1) @ X0) => (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X0 @ X1))))),
% 0.37/0.44 inference(rectify,[],[f2])).
% 0.37/0.44 thf(f353,plain,(
% 0.37/0.44 ! [X0 : set @ n,X1 : dtree] : (~ (((member @ n @ (root @ X1) @ X0)) = $true) => (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X0 @ X1))))),
% 0.37/0.44 inference(fool_elimination,[],[f352])).
% 0.37/0.44 thf(f447,plain,(
% 0.37/0.44 ! [X0 : dtree] : (gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))),
% 0.37/0.44 inference(rectify,[],[f19])).
% 0.37/0.44 thf(f448,plain,(
% 0.37/0.44 ! [X0 : dtree] : (((gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))) = $true)),
% 0.37/0.44 inference(fool_elimination,[],[f447])).
% 0.37/0.44 thf(f499,plain,(
% 0.37/0.44 ~(member @ n @ n2 @ ns)),
% 0.37/0.44 inference(rectify,[],[f1])).
% 0.37/0.44 thf(f500,plain,(
% 0.37/0.44 ~ (((member @ n @ n2 @ ns)) = $true)),
% 0.37/0.44 inference(fool_elimination,[],[f499])).
% 0.37/0.44 thf(f666,plain,(
% 0.37/0.44 ~ ? [X0 : dtree] : ((bot_bot @ set @ t = ((gram_L861583724lle_Fr @ ns @ X0))) & (gram_L646766332egular @ X0) & (gram_L864798063lle_wf @ X0) & (((root @ X0)) = n2))),
% 0.37/0.44 inference(rectify,[],[f284])).
% 0.37/0.44 thf(f667,plain,(
% 0.37/0.44 ~ ? [X0 : dtree] : ((((gram_L864798063lle_wf @ X0)) = $true) & (((gram_L646766332egular @ X0)) = $true) & (n2 = ((root @ X0))) & (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ ns @ X0))))),
% 0.37/0.44 inference(fool_elimination,[],[f666])).
% 0.37/0.44 thf(f763,plain,(
% 0.37/0.44 ! [X0 : set @ n,X1 : dtree] : ((((member @ n @ (root @ X1) @ X0)) != $true) => (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X0 @ X1))))),
% 0.37/0.44 inference(flattening,[],[f353])).
% 0.37/0.44 thf(f781,plain,(
% 0.37/0.44 (((member @ n @ n2 @ ns)) != $true)),
% 0.37/0.44 inference(flattening,[],[f500])).
% 0.37/0.44 thf(f853,plain,(
% 0.37/0.44 ! [X0 : set @ n,X1 : dtree] : ((((member @ n @ (root @ X1) @ X0)) = $true) | (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X0 @ X1))))),
% 0.37/0.44 inference(ennf_transformation,[],[f763])).
% 0.37/0.44 thf(f884,plain,(
% 0.37/0.44 ! [X0 : dtree] : ((((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) = $true) | (((gram_L864798063lle_wf @ X0)) != $true))),
% 0.37/0.44 inference(ennf_transformation,[],[f315])).
% 0.37/0.44 thf(f996,plain,(
% 0.37/0.44 ! [X0 : dtree] : ((bot_bot @ set @ t != ((gram_L861583724lle_Fr @ ns @ X0))) | (((gram_L646766332egular @ X0)) != $true) | (n2 != ((root @ X0))) | (((gram_L864798063lle_wf @ X0)) != $true))),
% 0.37/0.44 inference(ennf_transformation,[],[f667])).
% 0.37/0.44 thf(f1250,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((root @ X0)) = ((root @ (gram_L1828378864e_rcut @ X0))))) )),
% 0.37/0.44 inference(cnf_transformation,[],[f9])).
% 0.37/0.44 thf(f1349,plain,(
% 0.37/0.44 (((member @ n @ n2 @ ns)) != $true)),
% 0.37/0.44 inference(cnf_transformation,[],[f781])).
% 0.37/0.44 thf(f1372,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))) = $true)) )),
% 0.37/0.44 inference(cnf_transformation,[],[f448])).
% 0.37/0.44 thf(f1482,plain,(
% 0.37/0.44 ( ! [X0 : set @ n,X1 : dtree] : ((((member @ n @ (root @ X1) @ X0)) = $true) | (bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X0 @ X1)))) )),
% 0.37/0.44 inference(cnf_transformation,[],[f853])).
% 0.37/0.44 thf(f1559,plain,(
% 0.37/0.44 ( ! [X0 : n] : ((((gram_L864798063lle_wf @ (gram_L1231612515_deftr @ X0))) = $true)) )),
% 0.37/0.44 inference(cnf_transformation,[],[f293])).
% 0.37/0.44 thf(f1561,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((bot_bot @ set @ t != ((gram_L861583724lle_Fr @ ns @ X0))) | (((gram_L864798063lle_wf @ X0)) != $true) | (((gram_L646766332egular @ X0)) != $true) | (n2 != ((root @ X0)))) )),
% 0.37/0.44 inference(cnf_transformation,[],[f996])).
% 0.37/0.44 thf(f1581,plain,(
% 0.37/0.44 ( ! [X0 : n] : ((((root @ (gram_L1231612515_deftr @ X0))) = X0)) )),
% 0.37/0.44 inference(cnf_transformation,[],[f28])).
% 0.37/0.44 thf(f1593,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) = $true) | (((gram_L864798063lle_wf @ X0)) != $true)) )),
% 0.37/0.44 inference(cnf_transformation,[],[f884])).
% 0.37/0.44 thf(f1744,definition,(
% 0.37/0.44 spl40_8 <=> (((member @ n @ n2 @ ns)) = $true)),
% 0.37/0.44 introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition])).
% 0.37/0.44 thf(f1746,plain,(
% 0.37/0.44 (((member @ n @ n2 @ ns)) != $true) | spl40_8),
% 0.37/0.44 inference(avatar_component_clause,[],[f1744])).
% 0.37/0.44 thf(f1747,plain,(
% 0.37/0.44 ~spl40_8),
% 0.37/0.44 inference(avatar_split_clause,[],[f1349,f1744])).
% 0.37/0.44 thf(f1823,plain,(
% 0.37/0.44 ( ! [X0 : dtree,X1 : set @ n] : ((bot_bot @ set @ t = ((gram_L861583724lle_Fr @ X1 @ (gram_L1828378864e_rcut @ X0)))) | (((member @ n @ (root @ X0) @ X1)) = $true)) )),
% 0.37/0.44 inference(superposition,[],[f1482,f1250])).
% 0.37/0.44 thf(f2010,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))) != $true) | (n2 != ((root @ (gram_L1828378864e_rcut @ X0)))) | (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) != $true) | (bot_bot @ set @ t != bot_bot @ set @ t) | ($true = ((member @ n @ (root @ X0) @ ns)))) )),
% 0.37/0.44 inference(superposition,[],[f1561,f1823])).
% 0.37/0.44 thf(f2012,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((gram_L646766332egular @ (gram_L1828378864e_rcut @ X0))) != $true) | ($true = ((member @ n @ (root @ X0) @ ns))) | (n2 != ((root @ (gram_L1828378864e_rcut @ X0)))) | (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) != $true)) )),
% 0.37/0.44 inference(trivial_inequality_removal,[],[f2010])).
% 0.37/0.44 thf(f2013,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : ((((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) != $true) | ($true = ((member @ n @ (root @ X0) @ ns))) | (n2 != ((root @ (gram_L1828378864e_rcut @ X0))))) )),
% 0.37/0.44 inference(forward_subsumption_resolution,[],[f2012,f1372])).
% 0.37/0.44 thf(f2014,plain,(
% 0.37/0.44 ( ! [X0 : dtree] : (($true = ((member @ n @ (root @ X0) @ ns))) | (n2 != ((root @ X0))) | (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ X0))) != $true)) )),
% 0.37/0.44 inference(forward_demodulation,[],[f2013,f1250])).
% 0.37/0.44 thf(f2015,plain,(
% 0.37/0.44 ( ! [X0 : n] : (($true = ((member @ n @ X0 @ ns))) | (n2 != X0) | ($true != ((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ (gram_L1231612515_deftr @ X0)))))) )),
% 0.37/0.44 inference(superposition,[],[f2014,f1581])).
% 0.37/0.44 thf(f2207,plain,(
% 0.37/0.44 (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ (gram_L1231612515_deftr @ n2)))) != $true) | ($true != $true) | (n2 != n2) | spl40_8),
% 0.37/0.44 inference(superposition,[],[f1746,f2015])).
% 0.37/0.44 thf(f2208,plain,(
% 0.37/0.44 (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ (gram_L1231612515_deftr @ n2)))) != $true) | spl40_8),
% 0.37/0.44 inference(trivial_inequality_removal,[],[f2207])).
% 0.37/0.44 thf(f2210,definition,(
% 0.37/0.44 spl40_23 <=> (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ (gram_L1231612515_deftr @ n2)))) = $true)),
% 0.37/0.44 introduced(definition,[new_symbols(definition,[spl40_23])],[avatar_definition])).
% 0.37/0.44 thf(f2212,plain,(
% 0.37/0.44 (((gram_L864798063lle_wf @ (gram_L1828378864e_rcut @ (gram_L1231612515_deftr @ n2)))) != $true) | spl40_23),
% 0.37/0.44 inference(avatar_component_clause,[],[f2210])).
% 0.37/0.44 thf(f2213,plain,(
% 0.37/0.44 ~spl40_23 | spl40_8),
% 0.37/0.44 inference(avatar_split_clause,[],[f2208,f1744,f2210])).
% 0.37/0.44 thf(f2218,plain,(
% 0.37/0.44 ($true != $true) | ($true != ((gram_L864798063lle_wf @ (gram_L1231612515_deftr @ n2)))) | spl40_23),
% 0.37/0.44 inference(superposition,[],[f2212,f1593])).
% 0.37/0.44 thf(f2219,plain,(
% 0.37/0.44 ($true != ((gram_L864798063lle_wf @ (gram_L1231612515_deftr @ n2)))) | spl40_23),
% 0.37/0.44 inference(trivial_inequality_removal,[],[f2218])).
% 0.37/0.44 thf(f2220,plain,(
% 0.37/0.44 $false | spl40_23),
% 0.37/0.44 inference(forward_subsumption_resolution,[],[f2219,f1559])).
% 0.37/0.44 thf(f2221,plain,(
% 0.37/0.44 spl40_23),
% 0.37/0.44 inference(avatar_contradiction_clause,[],[f2220])).
% 0.37/0.44 cnf(s8, plain, ~spl40_8, inference(sat_conversion,[],[f1747])).
% 0.37/0.44 cnf(s22, plain, spl40_8 | ~spl40_23, inference(sat_conversion,[],[f2213])).
% 0.37/0.44 cnf(s23, plain, spl40_23, inference(sat_conversion,[],[f2221])).
% 0.37/0.44 cnf(s24, plain, spl40_8, inference(rat,[],[s22,s23])).
% 0.37/0.44 cnf(s25, plain, $false, inference(rat,[],[s8,s24])).
% 0.37/0.44 thf(f2222,plain,(
% 0.37/0.44 $false),
% 0.37/0.44 inference(avatar_sat_refutation,[],[s25])).
% 0.37/0.44 % SZS output end Proof for theBenchmark
% 0.37/0.44 % (1991801)------------------------------
% 0.37/0.44 % (1991801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1991801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1991801)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1991801)Termination reason: Refutation
% 0.37/0.44 % (1991801)Time elapsed: 0.092 s
% 0.37/0.44 % (1991801)Peak memory usage: 14 MB
% 0.37/0.44 % (1991801)Instructions burned: 169 (million)
% 0.37/0.44 % (1991776)Success in time 0.153 s
% 0.37/0.44 % Vampire exiting
%------------------------------------------------------------------------------