%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 07:47:09 AM UTC 2026
% Result : Theorem 0.78s 0.43s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:56:24 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.25 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
% 0.78/0.38 % (1095814)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.38 % (1095820)lrs+10_16_si=on:nwc=1.5:random_seed=2552998368:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.38 % (1095820)Instruction limit reached!
% 0.78/0.38 % (1095820)------------------------------
% 0.78/0.38 % (1095820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1095820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1095820)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1095820)Termination reason: Instruction limit
% 0.78/0.38 % (1095820)Termination phase: shuffling
% 0.78/0.38 % (1095820)Time elapsed: 0.004 s
% 0.78/0.38 % (1095820)Peak memory usage: 10 MB
% 0.78/0.38 % (1095820)Instructions burned: 18 (million)
% 0.78/0.38 % (1095821)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3090287550:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.38 % (1095819)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2904967981:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.38 % (1095823)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=204838266:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.38 % (1095822)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=1304158114: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)
% 0.78/0.38 % (1095824)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3552871371:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.38 % (1095825)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.38 % (1095821)Instruction limit reached!
% 0.78/0.38 % (1095821)------------------------------
% 0.78/0.38 % (1095821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1095825)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
% 0.78/0.38 % (1095821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1095821)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1095821)Termination reason: Instruction limit
% 0.78/0.38 % (1095821)Termination phase: shuffling
% 0.78/0.38 % (1095821)Time elapsed: 0.002 s
% 0.78/0.38 % (1095821)Peak memory usage: 10 MB
% 0.78/0.38 % (1095821)Instructions burned: 4 (million)
% 0.78/0.38 % (1095827)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1608270407:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.38 % (1095825)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=3676315616:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.38 % (1095827)Instruction limit reached!
% 0.78/0.38 % (1095827)------------------------------
% 0.78/0.38 % (1095827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1095827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1095827)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1095827)Termination reason: Instruction limit
% 0.78/0.38 % (1095827)Termination phase: shuffling
% 0.78/0.38 % (1095827)Time elapsed: 0.001 s
% 0.78/0.38 % (1095827)Peak memory usage: 10 MB
% 0.78/0.38 % (1095827)Instructions burned: 4 (million)
% 0.78/0.38 % (1095823)Instruction limit reached!
% 0.78/0.38 % (1095823)------------------------------
% 0.78/0.38 % (1095823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1095823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1095823)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1095823)Termination reason: Instruction limit
% 0.78/0.38 % (1095823)Termination phase: Property scanning
% 0.78/0.38 % (1095823)Time elapsed: 0.011 s
% 0.78/0.38 % (1095823)Peak memory usage: 10 MB
% 0.78/0.38 % (1095823)Instructions burned: 25 (million)
% 0.78/0.38 % (1095836)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.41 % (1095836)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3160082192:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.41 % (1095833)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=560195926:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.41 % (1095836)Instruction limit reached!
% 0.78/0.41 % (1095836)------------------------------
% 0.78/0.41 % (1095836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1095836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1095836)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1095836)Termination reason: Instruction limit
% 0.78/0.41 % (1095836)Termination phase: Property scanning
% 0.78/0.41 % (1095836)Time elapsed: 0.002 s
% 0.78/0.41 % (1095836)Peak memory usage: 10 MB
% 0.78/0.41 % (1095836)Instructions burned: 12 (million)
% 0.78/0.41 % (1095833)Instruction limit reached!
% 0.78/0.41 % (1095833)------------------------------
% 0.78/0.41 % (1095833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1095833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1095833)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1095833)Termination reason: Instruction limit
% 0.78/0.41 % (1095833)Termination phase: shuffling
% 0.78/0.41 % (1095833)Time elapsed: 0.002 s
% 0.78/0.41 % (1095833)Peak memory usage: 10 MB
% 0.78/0.41 % (1095833)Instructions burned: 5 (million)
% 0.78/0.41 % (1095840)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
% 0.78/0.41 % (1095840)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.41 % (1095840)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1422485957:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.41 % (1095837)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3239264913:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.41 % (1095824)Instruction limit reached!
% 0.78/0.41 % (1095824)------------------------------
% 0.78/0.41 % (1095824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1095824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1095824)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1095824)Termination reason: Instruction limit
% 0.78/0.41 % (1095824)Termination phase: Saturation
% 0.78/0.41 % (1095824)Time elapsed: 0.035 s
% 0.78/0.41 % (1095824)Peak memory usage: 13 MB
% 0.78/0.41 % (1095824)Instructions burned: 75 (million)
% 0.78/0.41 % (1095819)Instruction limit reached!
% 0.78/0.41 % (1095819)------------------------------
% 0.78/0.41 % (1095819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1095819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1095819)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1095819)Termination reason: Instruction limit
% 0.78/0.41 % (1095819)Termination phase: Saturation
% 0.78/0.41 % (1095819)Time elapsed: 0.040 s
% 0.78/0.41 % (1095819)Peak memory usage: 13 MB
% 0.78/0.41 % (1095819)Instructions burned: 88 (million)
% 0.78/0.41 % (1095837)Instruction limit reached!
% 0.78/0.41 % (1095837)------------------------------
% 0.78/0.41 % (1095837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1095837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1095837)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1095837)Termination reason: Instruction limit
% 0.78/0.41 % (1095837)Termination phase: Property scanning
% 0.78/0.41 % (1095837)Time elapsed: 0.005 s
% 0.78/0.41 % (1095837)Peak memory usage: 10 MB
% 0.78/0.41 % (1095837)Instructions burned: 13 (million)
% 0.78/0.41 % (1095841)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=4175755662:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.41 % (1095840)Instruction limit reached!
% 0.78/0.41 % (1095840)------------------------------
% 0.78/0.41 % (1095840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095840)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095840)Termination reason: Instruction limit
% 0.78/0.43 % (1095840)Termination phase: Saturation
% 0.78/0.43 % (1095840)Time elapsed: 0.011 s
% 0.78/0.43 % (1095840)Peak memory usage: 11 MB
% 0.78/0.43 % (1095840)Instructions burned: 49 (million)
% 0.78/0.43 % (1095851)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=644404556:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.43 % (1095846)lrs+10_1_si=on:cs=on:random_seed=2969047316:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.43 % (1095849)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.43 % (1095846)Instruction limit reached!
% 0.78/0.43 % (1095846)------------------------------
% 0.78/0.43 % (1095846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095846)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095846)Termination reason: Instruction limit
% 0.78/0.43 % (1095846)Termination phase: shuffling
% 0.78/0.43 % (1095846)Time elapsed: 0.004 s
% 0.78/0.43 % (1095846)Peak memory usage: 10 MB
% 0.78/0.43 % (1095846)Instructions burned: 9 (million)
% 0.78/0.43 % (1095849)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=3268918188:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.43 % (1095851)Refutation not found, incomplete strategy
% 0.78/0.43 % (1095851)------------------------------
% 0.78/0.43 % (1095851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095851)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095851)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.43 % (1095851)Time elapsed: 0.007 s
% 0.78/0.43 % (1095851)Peak memory usage: 12 MB
% 0.78/0.43 % (1095851)Instructions burned: 31 (million)
% 0.78/0.43 % (1095852)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2111299094:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.43 % (1095851)------------------------------
% 0.78/0.43 % (1095851)------------------------------
% 0.78/0.43 % (1095849)Instruction limit reached!
% 0.78/0.43 % (1095849)------------------------------
% 0.78/0.43 % (1095849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095849)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095849)Termination reason: Instruction limit
% 0.78/0.43 % (1095849)Termination phase: shuffling
% 0.78/0.43 % (1095849)Time elapsed: 0.003 s
% 0.78/0.43 % (1095849)Peak memory usage: 10 MB
% 0.78/0.43 % (1095849)Instructions burned: 7 (million)
% 0.78/0.43 % (1095864)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=595271011:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.43 % (1095852)Refutation not found, incomplete strategy
% 0.78/0.43 % (1095852)------------------------------
% 0.78/0.43 % (1095852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095852)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095852)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.43 % (1095852)Time elapsed: 0.013 s
% 0.78/0.43 % (1095852)Peak memory usage: 12 MB
% 0.78/0.43 % (1095852)Instructions burned: 26 (million)
% 0.78/0.43 % (1095864)Instruction limit reached!
% 0.78/0.43 % (1095864)------------------------------
% 0.78/0.43 % (1095864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095864)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095864)Termination reason: Instruction limit
% 0.78/0.43 % (1095864)Termination phase: Property scanning
% 0.78/0.43 % (1095864)Time elapsed: 0.003 s
% 0.78/0.43 % (1095864)Peak memory usage: 10 MB
% 0.78/0.43 % (1095864)Instructions burned: 14 (million)
% 0.78/0.43 % (1095852)------------------------------
% 0.78/0.43 % (1095852)------------------------------
% 0.78/0.43 % (1095860)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3266404175:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.78/0.43 % (1095841)Instruction limit reached!
% 0.78/0.43 % (1095841)------------------------------
% 0.78/0.43 % (1095841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095841)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095841)Termination reason: Instruction limit
% 0.78/0.43 % (1095841)Termination phase: Saturation
% 0.78/0.43 % (1095841)Time elapsed: 0.041 s
% 0.78/0.43 % (1095841)Peak memory usage: 13 MB
% 0.78/0.43 % (1095841)Instructions burned: 86 (million)
% 0.78/0.43 % (1095866)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=218418090:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.78/0.43 % (1095873)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3150058365:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.43 % (1095825)Instruction limit reached!
% 0.78/0.43 % (1095825)------------------------------
% 0.78/0.43 % (1095825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095825)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095825)Termination reason: Instruction limit
% 0.78/0.43 % (1095825)Termination phase: Saturation
% 0.78/0.43 % (1095825)Time elapsed: 0.080 s
% 0.78/0.43 % (1095825)Peak memory usage: 13 MB
% 0.78/0.43 % (1095825)Instructions burned: 158 (million)
% 0.78/0.43 % (1095873)Instruction limit reached!
% 0.78/0.43 % (1095873)------------------------------
% 0.78/0.43 % (1095873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095873)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095873)Termination reason: Instruction limit
% 0.78/0.43 % (1095873)Termination phase: Property scanning
% 0.78/0.43 % (1095873)Time elapsed: 0.003 s
% 0.78/0.43 % (1095873)Peak memory usage: 10 MB
% 0.78/0.43 % (1095873)Instructions burned: 14 (million)
% 0.78/0.43 % (1095860)Instruction limit reached!
% 0.78/0.43 % (1095860)------------------------------
% 0.78/0.43 % (1095860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095860)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095860)Termination reason: Instruction limit
% 0.78/0.43 % (1095860)Termination phase: Property scanning
% 0.78/0.43 % (1095860)Time elapsed: 0.012 s
% 0.78/0.43 % (1095860)Peak memory usage: 11 MB
% 0.78/0.43 % (1095860)Instructions burned: 26 (million)
% 0.78/0.43 % (1095874)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=705051390:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.78/0.43 % (1095874)Instruction limit reached!
% 0.78/0.43 % (1095874)------------------------------
% 0.78/0.43 % (1095874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095874)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095874)Termination reason: Instruction limit
% 0.78/0.43 % (1095874)Termination phase: shuffling
% 0.78/0.43 % (1095874)Time elapsed: 0.002 s
% 0.78/0.43 % (1095874)Peak memory usage: 10 MB
% 0.78/0.43 % (1095874)Instructions burned: 4 (million)
% 0.78/0.43 % (1095885)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3957430087:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.78/0.43 % (1095878)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4226812035:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.78/0.43 % (1095886)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
% 0.78/0.43 % (1095886)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.78/0.43 % (1095883)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=315230986:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.78/0.43 % (1095886)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=739755066:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.43 % (1095878)Instruction limit reached!
% 0.78/0.43 % (1095878)------------------------------
% 0.78/0.43 % (1095878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095878)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095878)Termination reason: Instruction limit
% 0.78/0.43 % (1095878)Termination phase: Property scanning
% 0.78/0.43 % (1095878)Time elapsed: 0.011 s
% 0.78/0.43 % (1095878)Peak memory usage: 10 MB
% 0.78/0.43 % (1095878)Instructions burned: 26 (million)
% 0.78/0.43 % (1095890)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.78/0.43 % (1095885)Instruction limit reached!
% 0.78/0.43 % (1095885)------------------------------
% 0.78/0.43 % (1095885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095885)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095885)Termination reason: Instruction limit
% 0.78/0.43 % (1095885)Termination phase: Saturation
% 0.78/0.43 % (1095885)Time elapsed: 0.014 s
% 0.78/0.43 % (1095885)Peak memory usage: 12 MB
% 0.78/0.43 % (1095885)Instructions burned: 60 (million)
% 0.78/0.43 % (1095886)Instruction limit reached!
% 0.78/0.43 % (1095886)------------------------------
% 0.78/0.43 % (1095886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095886)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095886)Termination reason: Instruction limit
% 0.78/0.43 % (1095886)Termination phase: Property scanning
% 0.78/0.43 % (1095886)Time elapsed: 0.006 s
% 0.78/0.43 % (1095886)Peak memory usage: 10 MB
% 0.78/0.43 % (1095886)Instructions burned: 14 (million)
% 0.78/0.43 % (1095890)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=1454775585:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.78/0.43 % (1095883)Instruction limit reached!
% 0.78/0.43 % (1095883)------------------------------
% 0.78/0.43 % (1095883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095883)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095883)Termination reason: Instruction limit
% 0.78/0.43 % (1095883)Termination phase: Property scanning
% 0.78/0.43 % (1095883)Time elapsed: 0.011 s
% 0.78/0.43 % (1095883)Peak memory usage: 10 MB
% 0.78/0.43 % (1095883)Instructions burned: 25 (million)
% 0.78/0.43 % (1095890)Instruction limit reached!
% 0.78/0.43 % (1095890)------------------------------
% 0.78/0.43 % (1095890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (1095890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (1095890)CaDiCaL version: 2.1.3
% 0.78/0.43 % (1095890)Termination reason: Instruction limit
% 0.78/0.43 % (1095890)Termination phase: shuffling
% 0.78/0.43 % (1095890)Time elapsed: 0.004 s
% 0.78/0.43 % (1095890)Peak memory usage: 10 MB
% 0.78/0.43 % (1095890)Instructions burned: 10 (million)
% 0.78/0.43 % (1095866) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1095814-1095866"...
% 0.78/0.43 % (1095866)...printing done.
% 0.78/0.43 % (1095904)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2521172017:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.78/0.43 % (1095866)Refutation found. Thanks to Tanya!
% 0.78/0.43 % SZS status Theorem for theBenchmark
% 0.78/0.43 % SZS output start Proof for theBenchmark
% 0.78/0.43 thf(type_def_5, type, num: $tType).
% 0.78/0.43 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.78/0.43 thf(func_def_1, type, attribute_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.43 thf(func_def_2, type, before_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.43 thf(func_def_4, type, contraryAttribute_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_5, type, contraryAttribute_THFTYPE_IioI: ($i > $o)).
% 0.78/0.44 thf(func_def_6, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_7, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_9, type, domainSubclass_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_10, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_11, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.78/0.44 thf(func_def_12, type, domain_THFTYPE_IIIiiiIiioIiioI: ((($i > $i > $i) > $i > $i > $o) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_13, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_14, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_15, type, domain_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_16, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_17, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.78/0.44 thf(func_def_18, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.78/0.44 thf(func_def_19, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_21, type, father_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_22, type, greaterThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_23, type, greaterThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_24, type, gt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_25, type, gtet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_26, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.78/0.44 thf(func_def_27, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_28, type, inList_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_29, type, instance_THFTYPE_IIIiiiIiioIioI: ((($i > $i > $i) > $i > $i > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_30, type, instance_THFTYPE_IIIiioIIiioIoIioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_31, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_32, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.78/0.44 thf(func_def_33, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.78/0.44 thf(func_def_34, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_35, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_36, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_37, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_39, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.78/0.44 thf(func_def_42, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_48, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_53, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_61, type, lListFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_64, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.78/0.44 thf(func_def_81, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.78/0.44 thf(func_def_91, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_94, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.78/0.44 thf(func_def_97, type, lessThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_98, type, lessThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_99, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_100, type, lt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_101, type, ltet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_102, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_103, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.78/0.44 thf(func_def_104, type, mother_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_110, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.78/0.44 thf(func_def_111, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_112, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_113, type, partition_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.78/0.44 thf(func_def_115, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_116, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_117, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.78/0.44 thf(func_def_118, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.78/0.44 thf(func_def_119, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_122, type, subAttribute_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_123, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_124, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_125, type, subrelation_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.78/0.44 thf(func_def_126, type, subrelation_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.78/0.44 thf(func_def_127, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.78/0.44 thf(func_def_128, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_129, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_130, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
% 0.78/0.44 thf(func_def_132, type, vNOT: ($o > $o)).
% 0.78/0.44 thf(func_def_135, type, vAND: ($o > $o > $o)).
% 0.78/0.44 thf(func_def_136, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.78/0.44 thf(func_def_137, type, sK0: (($i > $i > $o) > $i)).
% 0.78/0.44 thf(func_def_138, type, sK1: (($i > $i > $o) > $i)).
% 0.78/0.44 thf(func_def_139, type, sK2: (($i > $i > $o) > $i)).
% 0.78/0.44 thf(func_def_140, type, sK3: ($i > $i)).
% 0.78/0.44 thf(func_def_141, type, sK4: ($i > $i)).
% 0.78/0.44 thf(func_def_142, type, sK5: ($i > $i)).
% 0.78/0.44 thf(f6,axiom,(
% 0.78/0.44 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X3 : $i,X2 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.78/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005)).
% 0.78/0.44 thf(f48,axiom,(
% 0.78/0.44 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.78/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_047)).
% 0.78/0.44 thf(f83,axiom,(
% 0.78/0.44 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.78/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_082)).
% 0.78/0.44 thf(f94,axiom,(
% 0.78/0.44 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 0.78/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_093)).
% 0.78/0.44 thf(f298,conjecture,(
% 0.78/0.44 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))),
% 0.78/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.78/0.44 thf(f299,negated_conjecture,(
% 0.78/0.44 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))),
% 0.78/0.44 inference(negated_conjecture,[status(cth)],[f298])).
% 0.78/0.44 thf(f390,plain,(
% 0.78/0.44 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))),
% 0.78/0.44 inference(rectify,[],[f299])).
% 0.78/0.44 thf(f391,plain,(
% 0.78/0.44 ~ ? [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))) = $true)),
% 0.78/0.44 inference(fool_elimination,[],[f390])).
% 0.78/0.44 thf(f438,plain,(
% 0.78/0.44 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) <=> (X0 @ X2 @ X3)))),
% 0.78/0.44 inference(rectify,[],[f6])).
% 0.78/0.44 thf(f439,plain,(
% 0.78/0.44 ! [X1 : ($i > $i > $o),X0 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) = $true) => ! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))))),
% 0.78/0.44 inference(fool_elimination,[],[f438])).
% 0.78/0.44 thf(f530,plain,(
% 0.78/0.44 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 0.78/0.44 inference(rectify,[],[f94])).
% 0.78/0.44 thf(f531,plain,(
% 0.78/0.44 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
% 0.78/0.44 inference(fool_elimination,[],[f530])).
% 0.78/0.44 thf(f570,plain,(
% 0.78/0.44 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.78/0.44 inference(rectify,[],[f83])).
% 0.78/0.44 thf(f571,plain,(
% 0.78/0.44 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.78/0.44 inference(fool_elimination,[],[f570])).
% 0.78/0.44 thf(f576,plain,(
% 0.78/0.44 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.78/0.44 inference(rectify,[],[f48])).
% 0.78/0.44 thf(f577,plain,(
% 0.78/0.44 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)),
% 0.78/0.44 inference(fool_elimination,[],[f576])).
% 0.78/0.44 thf(f930,plain,(
% 0.78/0.44 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))) != $true)),
% 0.78/0.44 inference(ennf_transformation,[],[f391])).
% 0.78/0.44 thf(f935,plain,(
% 0.78/0.44 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true) | ! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))))),
% 0.78/0.44 inference(ennf_transformation,[],[f439])).
% 0.78/0.44 thf(f1013,plain,(
% 0.78/0.44 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
% 0.78/0.44 inference(cnf_transformation,[],[f531])).
% 0.78/0.44 thf(f1024,plain,(
% 0.78/0.44 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.78/0.44 inference(cnf_transformation,[],[f571])).
% 0.78/0.44 thf(f1034,plain,(
% 0.78/0.44 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)) )),
% 0.78/0.44 inference(cnf_transformation,[],[f577])).
% 0.78/0.44 thf(f1041,plain,(
% 0.78/0.44 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))) | (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true)) )),
% 0.78/0.44 inference(cnf_transformation,[],[f935])).
% 0.78/0.44 thf(f1051,plain,(
% 0.78/0.44 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))) != $true)) )),
% 0.78/0.44 inference(cnf_transformation,[],[f930])).
% 0.78/0.44 thf(f1193,definition,(
% 0.78/0.44 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.78/0.44 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.78/0.44 thf(f1202,plain,(
% 0.78/0.44 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true) | (((X0 @ X2 @ X3)) = $false) | (((X1 @ X3 @ X2)) = $true)) )),
% 0.78/0.44 inference(iff_proxy_clausification,[],[f1041])).
% 0.78/0.44 thf(f1217,plain,(
% 0.78/0.44 ( ! [X0 : $i] : ((((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true)) )),
% 0.78/0.44 inference(superposition,[],[f1051,f1193])).
% 0.78/0.44 thf(f1228,plain,(
% 0.78/0.44 ( ! [X0 : $i] : ((((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)) = $false)) )),
% 0.78/0.44 inference(forward_subsumption_resolution,[],[f1217,f1034])).
% 0.78/0.44 thf(f1230,plain,(
% 0.78/0.44 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) != $true)),
% 0.78/0.44 inference(superposition,[],[f1051,f1228])).
% 0.78/0.44 thf(f1287,plain,(
% 0.78/0.44 ( ! [X0 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X0 @ X1)) = $false) | ($true != $true) | (((husband_THFTYPE_IiioI @ X1 @ X0)) = $true)) )),
% 0.78/0.44 inference(superposition,[],[f1202,f1024])).
% 0.78/0.44 thf(f1289,plain,(
% 0.78/0.44 ( ! [X0 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X0 @ X1)) = $false) | (((husband_THFTYPE_IiioI @ X1 @ X0)) = $true)) )),
% 0.78/0.44 inference(trivial_inequality_removal,[],[f1287])).
% 0.78/0.44 thf(f1444,plain,(
% 0.78/0.44 (((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.78/0.44 inference(superposition,[],[f1013,f1289])).
% 0.78/0.44 thf(f1449,plain,(
% 0.78/0.44 (((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $true)),
% 0.78/0.44 inference(forward_subsumption_resolution,[],[f1444,f1230])).
% 0.78/0.44 thf(f1450,plain,(
% 0.78/0.44 ($false = $true)),
% 0.78/0.44 inference(forward_demodulation,[],[f1449,f1228])).
% 0.78/0.44 thf(f1451,plain,(
% 0.78/0.44 $false),
% 0.78/0.44 inference(trivial_inequality_removal,[],[f1450])).
% 0.78/0.44 % SZS output end Proof for theBenchmark
% 0.78/0.44 % (1095866)------------------------------
% 0.78/0.44 % (1095866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1095866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1095866)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1095866)Termination reason: Refutation
% 0.78/0.44 % (1095866)Time elapsed: 0.040 s
% 0.78/0.44 % (1095866)Peak memory usage: 13 MB
% 0.78/0.44 % (1095866)Instructions burned: 81 (million)
% 0.78/0.44 % (1095814)Success in time 0.176 s
% 0.78/0.44 % Vampire exiting
%------------------------------------------------------------------------------