%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR146^2 : 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 : n014.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 07:47:11 AM UTC 2026
% Result : Theorem 0.73s 0.45s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.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 17:56:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.40 % (3000277)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.40 % (3000286)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2776367055:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.40 % (3000288)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.40 % (3000288)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.73/0.40 % (3000286)Instruction limit reached!
% 0.73/0.40 % (3000286)------------------------------
% 0.73/0.40 % (3000286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.40 % (3000286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.40 % (3000286)CaDiCaL version: 2.1.3
% 0.73/0.40 % (3000286)Termination reason: Instruction limit
% 0.73/0.40 % (3000286)Termination phase: Property scanning
% 0.73/0.40 % (3000286)Time elapsed: 0.006 s
% 0.73/0.40 % (3000286)Peak memory usage: 11 MB
% 0.73/0.40 % (3000286)Instructions burned: 26 (million)
% 0.73/0.40 % (3000282)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1605188712:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.40 % (3000283)lrs+10_16_si=on:nwc=1.5:random_seed=799958738:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.40 % (3000285)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=3891549404:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.73/0.40 % (3000284)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1105169859:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.40 % (3000287)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1617586529:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.40 % (3000288)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=472328227:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.40 % (3000284)Instruction limit reached!
% 0.73/0.40 % (3000284)------------------------------
% 0.73/0.40 % (3000284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.40 % (3000284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.40 % (3000284)CaDiCaL version: 2.1.3
% 0.73/0.40 % (3000284)Termination reason: Instruction limit
% 0.73/0.40 % (3000284)Termination phase: shuffling
% 0.73/0.40 % (3000284)Time elapsed: 0.002 s
% 0.73/0.40 % (3000284)Peak memory usage: 10 MB
% 0.73/0.40 % (3000284)Instructions burned: 5 (million)
% 0.73/0.40 % (3000283)Instruction limit reached!
% 0.73/0.40 % (3000283)------------------------------
% 0.73/0.40 % (3000283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.40 % (3000283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.40 % (3000283)CaDiCaL version: 2.1.3
% 0.73/0.40 % (3000283)Termination reason: Instruction limit
% 0.73/0.40 % (3000283)Termination phase: Preprocessing 1
% 0.73/0.40 % (3000283)Time elapsed: 0.008 s
% 0.73/0.40 % (3000283)Peak memory usage: 10 MB
% 0.73/0.40 % (3000283)Instructions burned: 20 (million)
% 0.73/0.40 % (3000294)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2367276322:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.40 % (3000294)Instruction limit reached!
% 0.73/0.40 % (3000294)------------------------------
% 0.73/0.40 % (3000294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.40 % (3000294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.40 % (3000294)CaDiCaL version: 2.1.3
% 0.73/0.40 % (3000294)Termination reason: Instruction limit
% 0.73/0.40 % (3000294)Termination phase: Property scanning
% 0.73/0.40 % (3000294)Time elapsed: 0.003 s
% 0.73/0.40 % (3000294)Peak memory usage: 10 MB
% 0.73/0.40 % (3000294)Instructions burned: 12 (million)
% 0.73/0.40 % (3000297)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1273207380:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.44 % (3000298)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.44 % (3000300)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3833566190:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.44 % (3000297)Instruction limit reached!
% 0.73/0.44 % (3000297)------------------------------
% 0.73/0.44 % (3000297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (3000297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (3000297)CaDiCaL version: 2.1.3
% 0.73/0.44 % (3000297)Termination reason: Instruction limit
% 0.73/0.44 % (3000297)Termination phase: shuffling
% 0.73/0.44 % (3000297)Time elapsed: 0.003 s
% 0.73/0.44 % (3000297)Peak memory usage: 10 MB
% 0.73/0.44 % (3000297)Instructions burned: 6 (million)
% 0.73/0.44 % (3000300)Instruction limit reached!
% 0.73/0.44 % (3000300)------------------------------
% 0.73/0.44 % (3000300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (3000300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (3000300)CaDiCaL version: 2.1.3
% 0.73/0.44 % (3000300)Termination reason: Instruction limit
% 0.73/0.44 % (3000300)Termination phase: Property scanning
% 0.73/0.44 % (3000300)Time elapsed: 0.003 s
% 0.73/0.44 % (3000300)Peak memory usage: 10 MB
% 0.73/0.44 % (3000300)Instructions burned: 13 (million)
% 0.73/0.44 % (3000298)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3430901359:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.44 % (3000298)Instruction limit reached!
% 0.73/0.44 % (3000298)------------------------------
% 0.73/0.44 % (3000298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (3000298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (3000298)CaDiCaL version: 2.1.3
% 0.73/0.44 % (3000298)Termination reason: Instruction limit
% 0.73/0.44 % (3000298)Termination phase: shuffling
% 0.73/0.44 % (3000298)Time elapsed: 0.004 s
% 0.73/0.44 % (3000298)Peak memory usage: 10 MB
% 0.73/0.44 % (3000298)Instructions burned: 8 (million)
% 0.73/0.44 % (3000287)Instruction limit reached!
% 0.73/0.44 % (3000287)------------------------------
% 0.73/0.44 % (3000287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (3000287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (3000287)CaDiCaL version: 2.1.3
% 0.73/0.44 % (3000287)Termination reason: Instruction limit
% 0.73/0.44 % (3000287)Termination phase: Saturation
% 0.73/0.44 % (3000287)Time elapsed: 0.035 s
% 0.73/0.44 % (3000287)Peak memory usage: 13 MB
% 0.73/0.44 % (3000287)Instructions burned: 76 (million)
% 0.73/0.44 % (3000305)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=482257152:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.44 % (3000303)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.73/0.44 % (3000303)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.44 % (3000303)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2395221658:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.44 % (3000306)lrs+10_1_si=on:cs=on:random_seed=3026085235:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.44 % (3000307)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.44 % (3000306)Instruction limit reached!
% 0.73/0.44 % (3000306)------------------------------
% 0.73/0.44 % (3000306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (3000306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (3000306)CaDiCaL version: 2.1.3
% 0.73/0.44 % (3000306)Termination reason: Instruction limit
% 0.73/0.44 % (3000306)Termination phase: shuffling
% 0.73/0.45 % (3000306)Time elapsed: 0.004 s
% 0.73/0.45 % (3000306)Peak memory usage: 10 MB
% 0.73/0.45 % (3000306)Instructions burned: 8 (million)
% 0.73/0.45 % (3000307)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=3423169904:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.45 % (3000307)Instruction limit reached!
% 0.73/0.45 % (3000307)------------------------------
% 0.73/0.45 % (3000307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000307)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000307)Termination reason: Instruction limit
% 0.73/0.45 % (3000307)Termination phase: shuffling
% 0.73/0.45 % (3000307)Time elapsed: 0.001 s
% 0.73/0.45 % (3000307)Peak memory usage: 10 MB
% 0.73/0.45 % (3000307)Instructions burned: 2 (million)
% 0.73/0.45 % (3000303)Instruction limit reached!
% 0.73/0.45 % (3000303)------------------------------
% 0.73/0.45 % (3000303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000303)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000303)Termination reason: Instruction limit
% 0.73/0.45 % (3000303)Termination phase: Property scanning
% 0.73/0.45 % (3000303)Time elapsed: 0.013 s
% 0.73/0.45 % (3000303)Peak memory usage: 10 MB
% 0.73/0.45 % (3000303)Instructions burned: 30 (million)
% 0.73/0.45 % (3000305)Instruction limit reached!
% 0.73/0.45 % (3000305)------------------------------
% 0.73/0.45 % (3000305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000305)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000305)Termination reason: Instruction limit
% 0.73/0.45 % (3000305)Termination phase: Saturation
% 0.73/0.45 % (3000305)Time elapsed: 0.024 s
% 0.73/0.45 % (3000305)Peak memory usage: 13 MB
% 0.73/0.45 % (3000305)Instructions burned: 95 (million)
% 0.73/0.45 % (3000282)Instruction limit reached!
% 0.73/0.45 % (3000282)------------------------------
% 0.73/0.45 % (3000282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000282)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000282)Termination reason: Instruction limit
% 0.73/0.45 % (3000282)Termination phase: Saturation
% 0.73/0.45 % (3000282)Time elapsed: 0.066 s
% 0.73/0.45 % (3000282)Peak memory usage: 13 MB
% 0.73/0.45 % (3000282)Instructions burned: 88 (million)
% 0.73/0.45 % (3000318)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3007191575:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3000313)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=649432515:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.45 % (3000315)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1566343711:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.45 % (3000318)Instruction limit reached!
% 0.73/0.45 % (3000318)------------------------------
% 0.73/0.45 % (3000318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000318)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000318)Termination reason: Instruction limit
% 0.73/0.45 % (3000318)Termination phase: Property scanning
% 0.73/0.45 % (3000318)Time elapsed: 0.004 s
% 0.73/0.45 % (3000318)Peak memory usage: 10 MB
% 0.73/0.45 % (3000318)Instructions burned: 19 (million)
% 0.73/0.45 % (3000316)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=289564725:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.73/0.45 % (3000288)Instruction limit reached!
% 0.73/0.45 % (3000288)------------------------------
% 0.73/0.45 % (3000288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000288)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000288)Termination reason: Instruction limit
% 0.73/0.45 % (3000288)Termination phase: Saturation
% 0.73/0.45 % (3000288)Time elapsed: 0.079 s
% 0.73/0.45 % (3000288)Peak memory usage: 13 MB
% 0.73/0.45 % (3000288)Instructions burned: 157 (million)
% 0.73/0.45 % (3000321)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1609995010:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.73/0.45 % (3000327)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4129709198:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3000316)Instruction limit reached!
% 0.73/0.45 % (3000316)------------------------------
% 0.73/0.45 % (3000316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000316)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000316)Termination reason: Instruction limit
% 0.73/0.45 % (3000316)Termination phase: Preprocessing 3
% 0.73/0.45 % (3000316)Time elapsed: 0.012 s
% 0.73/0.45 % (3000316)Peak memory usage: 11 MB
% 0.73/0.45 % (3000316)Instructions burned: 26 (million)
% 0.73/0.45 % (3000313)Refutation not found, incomplete strategy
% 0.73/0.45 % (3000313)------------------------------
% 0.73/0.45 % (3000313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000313)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000313)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.45 % (3000313)Time elapsed: 0.017 s
% 0.73/0.45 % (3000313)Peak memory usage: 13 MB
% 0.73/0.45 % (3000313)Instructions burned: 35 (million)
% 0.73/0.45 % (3000327)Instruction limit reached!
% 0.73/0.45 % (3000327)------------------------------
% 0.73/0.45 % (3000327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000327)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000327)Termination reason: Instruction limit
% 0.73/0.45 % (3000327)Termination phase: Property scanning
% 0.73/0.45 % (3000327)Time elapsed: 0.004 s
% 0.73/0.45 % (3000327)Peak memory usage: 10 MB
% 0.73/0.45 % (3000327)Instructions burned: 19 (million)
% 0.73/0.45 % (3000313)------------------------------
% 0.73/0.45 % (3000313)------------------------------
% 0.73/0.45 % (3000330)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2355447966: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)
% 0.73/0.45 % (3000330)Instruction limit reached!
% 0.73/0.45 % (3000330)------------------------------
% 0.73/0.45 % (3000330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000330)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000330)Termination reason: Instruction limit
% 0.73/0.45 % (3000330)Termination phase: shuffling
% 0.73/0.45 % (3000330)Time elapsed: 0.002 s
% 0.73/0.45 % (3000330)Peak memory usage: 10 MB
% 0.73/0.45 % (3000330)Instructions burned: 4 (million)
% 0.73/0.45 % (3000337)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=616066488:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.73/0.45 % (3000334)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=913221049:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.73/0.45 % (3000336)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=734415639:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.73/0.45 % (3000342)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
% 0.73/0.45 % (3000342)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.73/0.45 % (3000337)Instruction limit reached!
% 0.73/0.45 % (3000337)------------------------------
% 0.73/0.45 % (3000337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000337)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000337)Termination reason: Instruction limit
% 0.73/0.45 % (3000337)Termination phase: Saturation
% 0.73/0.45 % (3000337)Time elapsed: 0.015 s
% 0.73/0.45 % (3000337)Peak memory usage: 13 MB
% 0.73/0.45 % (3000337)Instructions burned: 63 (million)
% 0.73/0.45 % (3000321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3000277-3000321"...
% 0.73/0.45 % (3000342)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=4133581517:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3000336)Instruction limit reached!
% 0.73/0.45 % (3000336)------------------------------
% 0.73/0.45 % (3000336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000336)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000336)Termination reason: Instruction limit
% 0.73/0.45 % (3000336)Termination phase: Property scanning
% 0.73/0.45 % (3000336)Time elapsed: 0.010 s
% 0.73/0.45 % (3000336)Peak memory usage: 11 MB
% 0.73/0.45 % (3000336)Instructions burned: 24 (million)
% 0.73/0.45 % (3000334)Instruction limit reached!
% 0.73/0.45 % (3000334)------------------------------
% 0.73/0.45 % (3000334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000334)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000334)Termination reason: Instruction limit
% 0.73/0.45 % (3000334)Termination phase: Property scanning
% 0.73/0.45 % (3000334)Time elapsed: 0.012 s
% 0.73/0.45 % (3000334)Peak memory usage: 10 MB
% 0.73/0.45 % (3000334)Instructions burned: 28 (million)
% 0.73/0.45 % (3000321)...printing done.
% 0.73/0.45 % (3000321)Refutation found. Thanks to Tanya!
% 0.73/0.45 % SZS status Theorem for theBenchmark
% 0.73/0.45 % SZS output start Proof for theBenchmark
% 0.73/0.45 thf(type_def_5, type, num: $tType).
% 0.73/0.45 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.73/0.45 thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_2, type, believes_THFTYPE_IiooI: ($i > $o > $o)).
% 0.73/0.45 thf(func_def_5, type, contraryAttribute_THFTYPE_IioI: ($i > $o)).
% 0.73/0.45 thf(func_def_6, type, disjointDecomposition_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_7, type, disjointDecomposition_THFTYPE_IioI: ($i > $o)).
% 0.73/0.45 thf(func_def_8, type, disjointRelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_9, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_10, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_12, type, domainSubclass_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_13, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_14, type, domainSubclass_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_15, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.73/0.45 thf(func_def_16, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_17, type, domain_THFTYPE_IIIioIiioIiioI: ((($i > $o) > $i > $i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_18, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_19, type, domain_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_20, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_21, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_22, type, domain_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_23, type, domain_THFTYPE_IIiooIiioI: (($i > $o > $o) > $i > $i > $o)).
% 0.73/0.45 thf(func_def_24, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.73/0.45 thf(func_def_25, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_27, type, greaterThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_28, type, greaterThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_29, type, gt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_30, type, gtet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_31, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.73/0.45 thf(func_def_32, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_33, type, inList_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_34, type, instance_THFTYPE_IIIiioIIiioIoIioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_35, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_36, type, instance_THFTYPE_IIIioIiioIioI: ((($i > $o) > $i > $i > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_37, type, instance_THFTYPE_IIiIiioIoIioI: (($i > ($i > $i > $o) > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_38, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.73/0.45 thf(func_def_39, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.73/0.45 thf(func_def_40, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_41, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_42, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_43, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_44, type, instrument_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_45, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_46, type, knows_THFTYPE_IiooI: ($i > $o > $o)).
% 0.73/0.45 thf(func_def_51, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_55, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_64, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_76, type, lListFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_78, type, lListOrderFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_81, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_100, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_110, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_112, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.73/0.45 thf(func_def_115, type, lessThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_116, type, lessThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_117, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_118, type, lt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_119, type, ltet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_120, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_121, type, member_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_122, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_129, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.73/0.45 thf(func_def_130, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_131, type, partition_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.73/0.45 thf(func_def_133, type, property_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_134, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_135, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_137, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_138, type, relatedInternalConcept_THFTYPE_IIioIIiioIoI: (($i > $o) > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_139, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.73/0.45 thf(func_def_140, type, relatedInternalConcept_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_141, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_144, type, subAttribute_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_145, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_146, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_147, type, subrelation_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_148, type, subrelation_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.73/0.45 thf(func_def_149, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.73/0.45 thf(func_def_150, type, subrelation_THFTYPE_IIoooIIiioIoI: (($o > $o > $o) > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_151, type, subrelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.73/0.45 thf(func_def_152, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_153, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_154, type, truth_THFTYPE_IoooI: ($o > $o > $o)).
% 0.73/0.45 thf(func_def_155, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
% 0.73/0.45 thf(func_def_157, type, vNOT: ($o > $o)).
% 0.73/0.45 thf(func_def_160, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.73/0.45 thf(func_def_161, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.73/0.45 thf(func_def_162, type, vAND: ($o > $o > $o)).
% 0.73/0.45 thf(func_def_163, type, sK0: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_165, type, sK2: ($i > $i)).
% 0.73/0.45 thf(func_def_166, type, sK3: (($i > $i > $o) > $i)).
% 0.73/0.45 thf(func_def_167, type, sK4: (($i > $i > $o) > $i)).
% 0.73/0.45 thf(func_def_168, type, sK5: (($i > $i > $o) > $i)).
% 0.73/0.45 thf(func_def_170, type, sK7: ($i > $i > $i)).
% 0.73/0.45 thf(func_def_172, type, db0: !>[X0: $tType]:(X0)).
% 0.73/0.45 thf(func_def_173, type, db1: !>[X0: $tType]:(X0)).
% 0.73/0.45 thf(func_def_174, type, db2: !>[X0: $tType]:(X0)).
% 0.73/0.45 thf(f6,axiom,(
% 0.73/0.45 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X3 : $i,X2 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005)).
% 0.73/0.45 thf(f20,axiom,(
% 0.73/0.45 ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_019)).
% 0.73/0.45 thf(f32,axiom,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (~ (X0 @ X1 @ X1)) <=> (instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i))),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_031)).
% 0.73/0.45 thf(f59,axiom,(
% 0.73/0.45 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_058)).
% 0.73/0.45 thf(f93,axiom,(
% 0.73/0.45 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_092)).
% 0.73/0.45 thf(f111,axiom,(
% 0.73/0.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_110)).
% 0.73/0.45 thf(f180,axiom,(
% 0.73/0.45 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_179)).
% 0.73/0.45 thf(f343,conjecture,(
% 0.73/0.45 ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))))),
% 0.73/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.73/0.45 thf(f344,negated_conjecture,(
% 0.73/0.45 ~ ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))))),
% 0.73/0.45 inference(negated_conjecture,[status(cth)],[f343])).
% 0.73/0.45 thf(f347,plain,(
% 0.73/0.45 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.73/0.45 inference(rectify,[],[f93])).
% 0.73/0.45 thf(f348,plain,(
% 0.73/0.45 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.73/0.45 inference(fool_elimination,[],[f347])).
% 0.73/0.45 thf(f449,plain,(
% 0.73/0.45 ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
% 0.73/0.45 inference(rectify,[],[f20])).
% 0.73/0.45 thf(f450,plain,(
% 0.73/0.45 ? [X0 : $i] : (((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))) = $true)),
% 0.73/0.45 inference(fool_elimination,[],[f449])).
% 0.73/0.45 thf(f525,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) <=> (X0 @ X2 @ X3)))),
% 0.73/0.45 inference(rectify,[],[f6])).
% 0.73/0.45 thf(f526,plain,(
% 0.73/0.45 ! [X1 : ($i > $i > $o),X0 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) = $true) => ! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))))),
% 0.73/0.45 inference(fool_elimination,[],[f525])).
% 0.73/0.45 thf(f571,plain,(
% 0.73/0.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 0.73/0.45 inference(rectify,[],[f111])).
% 0.73/0.45 thf(f572,plain,(
% 0.73/0.45 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
% 0.73/0.45 inference(fool_elimination,[],[f571])).
% 0.73/0.45 thf(f615,plain,(
% 0.73/0.45 ~ ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))))),
% 0.73/0.45 inference(rectify,[],[f344])).
% 0.73/0.45 thf(f616,plain,(
% 0.73/0.45 ~ ? [X0 : ($i > $i > $o)] : (($true = ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) & (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) = $true))),
% 0.73/0.45 inference(fool_elimination,[],[f615])).
% 0.73/0.45 thf(f793,plain,(
% 0.73/0.45 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.73/0.45 inference(rectify,[],[f59])).
% 0.73/0.45 thf(f794,plain,(
% 0.73/0.45 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
% 0.73/0.45 inference(fool_elimination,[],[f793])).
% 0.73/0.45 thf(f967,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (~ (X0 @ X1 @ X1)) <=> (instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i))),
% 0.73/0.45 inference(rectify,[],[f32])).
% 0.73/0.45 thf(f968,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) <=> (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true))),
% 0.73/0.45 inference(fool_elimination,[],[f967])).
% 0.73/0.45 thf(f1009,plain,(
% 0.73/0.45 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
% 0.73/0.45 inference(rectify,[],[f180])).
% 0.73/0.45 thf(f1010,plain,(
% 0.73/0.45 (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
% 0.73/0.45 inference(fool_elimination,[],[f1009])).
% 0.73/0.45 thf(f1047,plain,(
% 0.73/0.45 ! [X1 : ($i > $i > $o),X0 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))) | (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0)) != $true))),
% 0.73/0.45 inference(ennf_transformation,[],[f526])).
% 0.73/0.45 thf(f1067,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | ($true != ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))))),
% 0.73/0.45 inference(ennf_transformation,[],[f616])).
% 0.73/0.45 thf(f1134,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : (((X1 @ X2 @ X3)) = ((X0 @ X3 @ X2))) | ($true != ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1))))),
% 0.73/0.45 inference(rectify,[],[f1047])).
% 0.73/0.45 thf(f1137,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X1 : $i] : (((~ (X0 @ X1 @ X1))) != $true)))),
% 0.73/0.45 inference(nnf_transformation,[],[f968])).
% 0.73/0.45 thf(f1138,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X2 : $i] : ($true != ((~ (X0 @ X2 @ X2))))))),
% 0.73/0.45 inference(rectify,[],[f1137])).
% 0.73/0.45 thf(f1139,plain,(
% 0.73/0.45 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ($true != ((~ (X0 @ (sK3 @ X0) @ (sK3 @ X0)))))))),
% 0.73/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK0 @ X1 @ X0)],[f1138])).
% 0.73/0.45 thf(f1143,plain,(
% 0.73/0.45 ($true = ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK6))))),
% 0.73/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f450])).
% 0.73/0.45 thf(f1150,plain,(
% 0.73/0.45 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
% 0.73/0.45 inference(cnf_transformation,[],[f572])).
% 0.73/0.45 thf(f1254,plain,(
% 0.73/0.45 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) )),
% 0.73/0.45 inference(cnf_transformation,[],[f794])).
% 0.73/0.45 thf(f1274,plain,(
% 0.73/0.45 (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
% 0.73/0.45 inference(cnf_transformation,[],[f348])).
% 0.73/0.45 thf(f1364,plain,(
% 0.73/0.45 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((X1 @ X2 @ X3)) = ((X0 @ X3 @ X2))) | ($true != ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)))) )),
% 0.73/0.45 inference(cnf_transformation,[],[f1134])).
% 0.73/0.45 thf(f1368,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | ($true != ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))) )),
% 0.73/0.45 inference(cnf_transformation,[],[f1067])).
% 0.73/0.45 thf(f1373,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) )),
% 0.73/0.45 inference(cnf_transformation,[],[f1139])).
% 0.73/0.45 thf(f1381,plain,(
% 0.73/0.45 (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
% 0.73/0.45 inference(cnf_transformation,[],[f1010])).
% 0.73/0.45 thf(f1382,plain,(
% 0.73/0.45 ($true = ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK6))))),
% 0.73/0.45 inference(cnf_transformation,[],[f1143])).
% 0.73/0.45 thf(f1402,definition,(
% 0.73/0.45 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.73/0.45 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.73/0.45 thf(f1411,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((X0 @ X1 @ X1)) = $false)) )),
% 0.73/0.45 inference(not_proxy_clausification,[],[f1373])).
% 0.73/0.45 thf(f1417,plain,(
% 0.73/0.45 ($false = ((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK6)))),
% 0.73/0.45 inference(not_proxy_clausification,[],[f1382])).
% 0.73/0.45 thf(f1423,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o)] : (($true = ((X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true)) )),
% 0.73/0.45 inference(not_proxy_clausification,[],[f1368])).
% 0.73/0.45 thf(f1424,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
% 0.73/0.45 inference(equality_proxy_clausification,[],[f1423])).
% 0.73/0.45 thf(f1429,plain,(
% 0.73/0.45 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : (($true != ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1))) | (((X1 @ X2 @ X3)) = $false) | (((X0 @ X3 @ X2)) = $true)) )),
% 0.73/0.45 inference(iff_proxy_clausification,[],[f1364])).
% 0.73/0.45 thf(f1439,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) )),
% 0.73/0.45 inference(superposition,[],[f1424,f1402])).
% 0.73/0.45 thf(f1448,definition,(
% 0.73/0.45 spl8_1 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])).
% 0.73/0.45 thf(f1450,plain,(
% 0.73/0.45 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl8_1),
% 0.73/0.45 inference(avatar_component_clause,[],[f1448])).
% 0.73/0.45 thf(f1452,definition,(
% 0.73/0.45 spl8_2 <=> ! [X0 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false))),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])).
% 0.73/0.45 thf(f1453,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(avatar_component_clause,[],[f1452])).
% 0.73/0.45 thf(f1454,plain,(
% 0.73/0.45 ~spl8_1 | spl8_2),
% 0.73/0.45 inference(avatar_split_clause,[],[f1439,f1452,f1448])).
% 0.73/0.45 thf(f1459,plain,(
% 0.73/0.45 $false | spl8_1),
% 0.73/0.45 inference(forward_subsumption_resolution,[],[f1450,f1254])).
% 0.73/0.45 thf(f1460,plain,(
% 0.73/0.45 spl8_1),
% 0.73/0.45 inference(avatar_contradiction_clause,[],[f1459])).
% 0.73/0.45 thf(f1461,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1)) = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1)))) ) | ~spl8_2),
% 0.73/0.45 inference(argument_congruence,[],[f1453])).
% 0.73/0.45 thf(f1463,plain,(
% 0.73/0.45 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1)) = (^[Y0 : $i]: ($true))) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1461])).
% 0.73/0.45 thf(f1466,plain,(
% 0.73/0.45 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl8_2),
% 0.73/0.45 inference(argument_congruence,[],[f1463])).
% 0.73/0.45 thf(f1467,plain,(
% 0.73/0.45 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | ($false = (((^[Y0 : $i]: ($true)) @ X2))) | (((X0 @ X1 @ X2)) = $true)) ) | ~spl8_2),
% 0.73/0.45 inference(iff_proxy_clausification,[],[f1466])).
% 0.73/0.45 thf(f1470,plain,(
% 0.73/0.45 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($false = $true) | (((X0 @ X1 @ X2)) = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1467])).
% 0.73/0.45 thf(f1471,plain,(
% 0.73/0.45 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true)) ) | ~spl8_2),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1470])).
% 0.73/0.45 thf(f1472,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X1 @ X2)) = $true)) ) | ~spl8_2),
% 0.73/0.45 inference(primitive_instantiation,[],[f1471])).
% 0.73/0.45 thf(f1473,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X1 @ X2))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))) ) | ~spl8_2),
% 0.73/0.45 inference(primitive_instantiation,[],[f1471])).
% 0.73/0.45 thf(f1481,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((((~ (X1 = X2))) = $true) | (((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i))) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1473])).
% 0.73/0.45 thf(f1482,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($false = ((X1 = X2))) | (((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i))) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(not_proxy_clausification,[],[f1481])).
% 0.73/0.45 thf(f1483,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((X1 != X2) | (((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i))) = $false)) ) | ~spl8_2),
% 0.73/0.45 inference(equality_proxy_clausification,[],[f1482])).
% 0.73/0.45 thf(f1484,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((lChris_THFTYPE_i = lCorina_THFTYPE_i))) | (X1 != X2)) ) | ~spl8_2),
% 0.73/0.45 inference(not_proxy_clausification,[],[f1483])).
% 0.73/0.45 thf(f1485,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((lChris_THFTYPE_i = lCorina_THFTYPE_i) | (X1 != X2)) ) | ~spl8_2),
% 0.73/0.45 inference(equality_proxy_clausification,[],[f1484])).
% 0.73/0.45 thf(f1490,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((X1 = X2))) | ($false = ((lChris_THFTYPE_i = lCorina_THFTYPE_i)))) ) | ~spl8_2),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1472])).
% 0.73/0.45 thf(f1491,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : (($false = ((lChris_THFTYPE_i = lCorina_THFTYPE_i))) | (X1 = X2)) ) | ~spl8_2),
% 0.73/0.45 inference(equality_proxy_clausification,[],[f1490])).
% 0.73/0.45 thf(f1492,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((lChris_THFTYPE_i != lCorina_THFTYPE_i) | (X1 = X2)) ) | ~spl8_2),
% 0.73/0.45 inference(equality_proxy_clausification,[],[f1491])).
% 0.73/0.45 thf(f1495,definition,(
% 0.73/0.45 spl8_3 <=> (lChris_THFTYPE_i = lCorina_THFTYPE_i)),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
% 0.73/0.45 thf(f1497,plain,(
% 0.73/0.45 (lChris_THFTYPE_i = lCorina_THFTYPE_i) | ~spl8_3),
% 0.73/0.45 inference(avatar_component_clause,[],[f1495])).
% 0.73/0.45 thf(f1499,definition,(
% 0.73/0.45 spl8_4 <=> ! [X2 : $i,X1 : $i] : (X1 != X2)),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
% 0.73/0.45 thf(f1500,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) ) | ~spl8_4),
% 0.73/0.45 inference(avatar_component_clause,[],[f1499])).
% 0.73/0.45 thf(f1501,plain,(
% 0.73/0.45 spl8_3 | spl8_4 | ~spl8_2),
% 0.73/0.45 inference(avatar_split_clause,[],[f1485,f1452,f1499,f1495])).
% 0.73/0.45 thf(f1503,definition,(
% 0.73/0.45 spl8_5 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition])).
% 0.73/0.45 thf(f1511,definition,(
% 0.73/0.45 spl8_7 <=> ! [X2 : $i,X1 : $i] : (X1 = X2)),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition])).
% 0.73/0.45 thf(f1512,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((X1 = X2)) ) | ~spl8_7),
% 0.73/0.45 inference(avatar_component_clause,[],[f1511])).
% 0.73/0.45 thf(f1513,plain,(
% 0.73/0.45 ~spl8_3 | spl8_7 | ~spl8_2),
% 0.73/0.45 inference(avatar_split_clause,[],[f1492,f1452,f1511,f1495])).
% 0.73/0.45 thf(f1514,plain,(
% 0.73/0.45 $false | ~spl8_4),
% 0.73/0.45 inference(flex-flex_simplification,[],[f1500])).
% 0.73/0.45 thf(f1515,plain,(
% 0.73/0.45 ~spl8_4),
% 0.73/0.45 inference(avatar_contradiction_clause,[],[f1514])).
% 0.73/0.45 thf(f1518,plain,(
% 0.73/0.45 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lChris_THFTYPE_i @ lChris_THFTYPE_i)))) | ~spl8_3),
% 0.73/0.45 inference(forward_demodulation,[],[f1150,f1497])).
% 0.73/0.45 thf(f1520,plain,(
% 0.73/0.45 ( ! [X0 : $i] : ((((husband_THFTYPE_IiioI @ X0 @ sK6)) = $false)) ) | ~spl8_7),
% 0.73/0.45 inference(superposition,[],[f1417,f1512])).
% 0.73/0.45 thf(f1556,plain,(
% 0.73/0.45 ( ! [X0 : $i,X1 : $i] : (($false = ((husband_THFTYPE_IiioI @ X1 @ X0)))) ) | ~spl8_7),
% 0.73/0.45 inference(superposition,[],[f1520,f1512])).
% 0.73/0.45 thf(f1640,plain,(
% 0.73/0.45 ( ! [X0 : $i] : (($true != $true) | ($false = ((wife_THFTYPE_IiioI @ X0 @ X0)))) )),
% 0.73/0.45 inference(superposition,[],[f1411,f1381])).
% 0.73/0.45 thf(f1641,plain,(
% 0.73/0.45 ( ! [X0 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X0)))) )),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1640])).
% 0.73/0.45 thf(f1697,plain,(
% 0.73/0.45 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | ~spl8_3),
% 0.73/0.45 inference(superposition,[],[f1518,f1641])).
% 0.73/0.45 thf(f1702,plain,(
% 0.73/0.45 spl8_5 | ~spl8_3),
% 0.73/0.45 inference(avatar_split_clause,[],[f1697,f1495,f1503])).
% 0.73/0.45 thf(f1747,plain,(
% 0.73/0.45 ( ! [X0 : $i,X1 : $i] : (($true = ((husband_THFTYPE_IiioI @ X1 @ X0))) | ($true != $true) | ($false = ((wife_THFTYPE_IiioI @ X0 @ X1)))) )),
% 0.73/0.45 inference(superposition,[],[f1429,f1274])).
% 0.73/0.45 thf(f1749,plain,(
% 0.73/0.45 ( ! [X0 : $i,X1 : $i] : (($true = ((husband_THFTYPE_IiioI @ X1 @ X0))) | ($false = ((wife_THFTYPE_IiioI @ X0 @ X1)))) )),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1747])).
% 0.73/0.45 thf(f1751,plain,(
% 0.73/0.45 ( ! [X0 : $i,X1 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X1))) | ($false = $true)) ) | ~spl8_7),
% 0.73/0.45 inference(forward_demodulation,[],[f1749,f1556])).
% 0.73/0.45 thf(f1752,plain,(
% 0.73/0.45 ( ! [X0 : $i,X1 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X1)))) ) | ~spl8_7),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1751])).
% 0.73/0.45 thf(f1756,plain,(
% 0.73/0.45 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) != $true) | (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl8_7),
% 0.73/0.45 inference(superposition,[],[f1424,f1752])).
% 0.73/0.45 thf(f1763,definition,(
% 0.73/0.45 spl8_11 <=> (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 0.73/0.45 introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition])).
% 0.73/0.45 thf(f1765,plain,(
% 0.73/0.45 (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl8_11),
% 0.73/0.45 inference(avatar_component_clause,[],[f1763])).
% 0.73/0.45 thf(f1766,plain,(
% 0.73/0.45 ~spl8_5 | spl8_11 | ~spl8_7),
% 0.73/0.45 inference(avatar_split_clause,[],[f1756,f1511,f1763,f1503])).
% 0.73/0.45 thf(f1773,plain,(
% 0.73/0.45 ( ! [X1 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1)) = ((wife_THFTYPE_IiioI @ X1)))) ) | ~spl8_11),
% 0.73/0.45 inference(argument_congruence,[],[f1765])).
% 0.73/0.45 thf(f1775,plain,(
% 0.73/0.45 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = ((wife_THFTYPE_IiioI @ X1)))) ) | ~spl8_11),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1773])).
% 0.73/0.45 thf(f1790,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X1 @ X2)) = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl8_11),
% 0.73/0.45 inference(argument_congruence,[],[f1775])).
% 0.73/0.45 thf(f1791,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X1 @ X2)) = $true) | ($false = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl8_11),
% 0.73/0.45 inference(iff_proxy_clausification,[],[f1790])).
% 0.73/0.45 thf(f1794,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X1 @ X2)) = $true) | ($false = $true)) ) | ~spl8_11),
% 0.73/0.45 inference(beta-eta_normalization,[],[f1791])).
% 0.73/0.45 thf(f1795,plain,(
% 0.73/0.45 ( ! [X2 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X1 @ X2)) = $true)) ) | ~spl8_11),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1794])).
% 0.73/0.45 thf(f1796,plain,(
% 0.73/0.45 ($false = $true) | (~spl8_7 | ~spl8_11)),
% 0.73/0.45 inference(forward_demodulation,[],[f1795,f1752])).
% 0.73/0.45 thf(f1797,plain,(
% 0.73/0.45 $false | (~spl8_7 | ~spl8_11)),
% 0.73/0.45 inference(trivial_inequality_removal,[],[f1796])).
% 0.73/0.45 thf(f1798,plain,(
% 0.73/0.45 ~spl8_7 | ~spl8_11),
% 0.73/0.45 inference(avatar_contradiction_clause,[],[f1797])).
% 0.73/0.45 cnf(s1, plain, ~spl8_1 | spl8_2, inference(sat_conversion,[],[f1454])).
% 0.73/0.45 cnf(s2, plain, spl8_1, inference(sat_conversion,[],[f1460])).
% 0.73/0.45 cnf(s3, plain, ~spl8_2 | spl8_3 | spl8_4, inference(sat_conversion,[],[f1501])).
% 0.73/0.45 cnf(s5, plain, ~spl8_2 | ~spl8_3 | spl8_7, inference(sat_conversion,[],[f1513])).
% 0.73/0.45 cnf(s6, plain, ~spl8_4, inference(sat_conversion,[],[f1515])).
% 0.73/0.45 cnf(s9, plain, ~spl8_3 | spl8_5, inference(sat_conversion,[],[f1702])).
% 0.73/0.45 cnf(s12, plain, ~spl8_5 | ~spl8_7 | spl8_11, inference(sat_conversion,[],[f1766])).
% 0.73/0.45 cnf(s13, plain, ~spl8_7 | ~spl8_11, inference(sat_conversion,[],[f1798])).
% 0.73/0.45 cnf(s14, plain, ~spl8_2 | spl8_3, inference(rat,[],[s3,s6])).
% 0.73/0.45 cnf(s15, plain, spl8_2, inference(rat,[],[s1,s2])).
% 0.73/0.45 cnf(s16, plain, spl8_3, inference(rat,[],[s14,s15])).
% 0.73/0.45 cnf(s17, plain, spl8_5, inference(rat,[],[s9,s16])).
% 0.73/0.45 cnf(s18, plain, spl8_7, inference(rat,[],[s5,s15,s16])).
% 0.73/0.45 cnf(s20, plain, ~spl8_11, inference(rat,[],[s13,s18])).
% 0.73/0.45 cnf(s21, plain, $false, inference(rat,[],[s12,s17,s20,s18])).
% 0.73/0.45 thf(f1799,plain,(
% 0.73/0.45 $false),
% 0.73/0.45 inference(avatar_sat_refutation,[],[s21])).
% 0.73/0.45 % SZS output end Proof for theBenchmark
% 0.73/0.45 % (3000321)------------------------------
% 0.73/0.45 % (3000321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3000321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3000321)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3000321)Termination reason: Refutation
% 0.73/0.45 % (3000321)Time elapsed: 0.038 s
% 0.73/0.45 % (3000321)Peak memory usage: 14 MB
% 0.73/0.45 % (3000321)Instructions burned: 75 (million)
% 0.73/0.45 % (3000277)Success in time 0.169 s
% 0.73/0.45 % Vampire exiting
%------------------------------------------------------------------------------