%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU610^1 : TPTP v9.3.1. Released v3.7.0.
% 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 08:30:18 AM UTC 2026
% Result : Theorem 0.76s 0.40s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU610^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % 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 13:57:25 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
% 0.08/0.22 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
% 0.76/0.36 % (755232)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.36 % (755242)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1122705206:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.36 % (755243)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.36 % (755243)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
% 0.76/0.36 % (755237)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2929084136:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.36 % (755238)lrs+10_16_si=on:nwc=1.5:random_seed=3360891952:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.36 % (755239)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2267722879:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.36 % (755241)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=868469388:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.36 % (755240)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=1220130216: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)
% 0.76/0.36 % (755243)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=826522826:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.36 % (755239)Instruction limit reached!
% 0.76/0.36 % (755239)------------------------------
% 0.76/0.36 % (755239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (755239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (755239)CaDiCaL version: 2.1.3
% 0.76/0.36 % (755239)Termination reason: Instruction limit
% 0.76/0.36 % (755239)Termination phase: shuffling
% 0.76/0.36 % (755239)Time elapsed: 0.002 s
% 0.76/0.36 % (755239)Peak memory usage: 10 MB
% 0.76/0.36 % (755239)Instructions burned: 4 (million)
% 0.76/0.36 % (755238)Instruction limit reached!
% 0.76/0.36 % (755238)------------------------------
% 0.76/0.36 % (755238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (755238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (755238)CaDiCaL version: 2.1.3
% 0.76/0.36 % (755238)Termination reason: Instruction limit
% 0.76/0.36 % (755238)Termination phase: Property scanning
% 0.76/0.36 % (755238)Time elapsed: 0.008 s
% 0.76/0.36 % (755238)Peak memory usage: 10 MB
% 0.76/0.36 % (755238)Instructions burned: 19 (million)
% 0.76/0.36 % (755242)Instruction limit reached!
% 0.76/0.36 % (755242)------------------------------
% 0.76/0.36 % (755242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (755242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (755242)CaDiCaL version: 2.1.3
% 0.76/0.36 % (755242)Termination reason: Instruction limit
% 0.76/0.36 % (755242)Termination phase: Saturation
% 0.76/0.36 % (755242)Time elapsed: 0.019 s
% 0.76/0.36 % (755242)Peak memory usage: 13 MB
% 0.76/0.36 % (755242)Instructions burned: 79 (million)
% 0.76/0.36 % (755241)Instruction limit reached!
% 0.76/0.36 % (755241)------------------------------
% 0.76/0.36 % (755241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (755241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (755241)CaDiCaL version: 2.1.3
% 0.76/0.36 % (755241)Termination reason: Instruction limit
% 0.76/0.36 % (755241)Termination phase: Preprocessing 3
% 0.76/0.36 % (755241)Time elapsed: 0.011 s
% 0.76/0.36 % (755241)Peak memory usage: 11 MB
% 0.76/0.36 % (755241)Instructions burned: 24 (million)
% 0.76/0.36 % (755253)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.36 % (755251)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=159735096:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.36 % (755253)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3193275645:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.40 % (755251)Instruction limit reached!
% 0.76/0.40 % (755251)------------------------------
% 0.76/0.40 % (755251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755251)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755251)Termination reason: Instruction limit
% 0.76/0.40 % (755251)Termination phase: shuffling
% 0.76/0.40 % (755251)Time elapsed: 0.002 s
% 0.76/0.40 % (755251)Peak memory usage: 10 MB
% 0.76/0.40 % (755251)Instructions burned: 4 (million)
% 0.76/0.40 % (755253)Instruction limit reached!
% 0.76/0.40 % (755253)------------------------------
% 0.76/0.40 % (755253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755253)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755253)Termination reason: Instruction limit
% 0.76/0.40 % (755253)Termination phase: shuffling
% 0.76/0.40 % (755253)Time elapsed: 0.002 s
% 0.76/0.40 % (755253)Peak memory usage: 10 MB
% 0.76/0.40 % (755253)Instructions burned: 8 (million)
% 0.76/0.40 % (755252)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2607602787:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.40 % (755252)Instruction limit reached!
% 0.76/0.40 % (755252)------------------------------
% 0.76/0.40 % (755252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755252)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755252)Termination reason: Instruction limit
% 0.76/0.40 % (755252)Termination phase: shuffling
% 0.76/0.40 % (755252)Time elapsed: 0.003 s
% 0.76/0.40 % (755252)Peak memory usage: 10 MB
% 0.76/0.40 % (755252)Instructions burned: 6 (million)
% 0.76/0.40 % (755254)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3576474536:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.40 % (755258)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=1805801378:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.40 % (755254)Instruction limit reached!
% 0.76/0.40 % (755254)------------------------------
% 0.76/0.40 % (755254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755254)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755254)Termination reason: Instruction limit
% 0.76/0.40 % (755254)Termination phase: Property scanning
% 0.76/0.40 % (755254)Time elapsed: 0.006 s
% 0.76/0.40 % (755254)Peak memory usage: 10 MB
% 0.76/0.40 % (755254)Instructions burned: 14 (million)
% 0.76/0.40 % (755257)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
% 0.76/0.40 % (755257)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.40 % (755237)Instruction limit reached!
% 0.76/0.40 % (755237)------------------------------
% 0.76/0.40 % (755237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755237)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755237)Termination reason: Instruction limit
% 0.76/0.40 % (755237)Termination phase: Saturation
% 0.76/0.40 % (755237)Time elapsed: 0.040 s
% 0.76/0.40 % (755237)Peak memory usage: 13 MB
% 0.76/0.40 % (755237)Instructions burned: 87 (million)
% 0.76/0.40 % (755257)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=262655713:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.40 % (755261)lrs+10_1_si=on:cs=on:random_seed=484777350:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.40 % (755263)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.40 % (755261)Instruction limit reached!
% 0.76/0.40 % (755261)------------------------------
% 0.76/0.40 % (755261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755261)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755261)Termination reason: Instruction limit
% 0.76/0.40 % (755261)Termination phase: shuffling
% 0.76/0.40 % (755261)Time elapsed: 0.004 s
% 0.76/0.40 % (755261)Peak memory usage: 10 MB
% 0.76/0.40 % (755261)Instructions burned: 9 (million)
% 0.76/0.40 % (755257)Instruction limit reached!
% 0.76/0.40 % (755257)------------------------------
% 0.76/0.40 % (755257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755257)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755257)Termination reason: Instruction limit
% 0.76/0.40 % (755257)Termination phase: Property scanning
% 0.76/0.40 % (755257)Time elapsed: 0.012 s
% 0.76/0.40 % (755257)Peak memory usage: 10 MB
% 0.76/0.40 % (755257)Instructions burned: 29 (million)
% 0.76/0.40 % (755258)Instruction limit reached!
% 0.76/0.40 % (755258)------------------------------
% 0.76/0.40 % (755258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755258)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755258)Termination reason: Instruction limit
% 0.76/0.40 % (755258)Termination phase: Saturation
% 0.76/0.40 % (755258)Time elapsed: 0.020 s
% 0.76/0.40 % (755258)Peak memory usage: 13 MB
% 0.76/0.40 % (755258)Instructions burned: 90 (million)
% 0.76/0.40 % (755263)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=1171684187:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.40 % (755264)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=943185266:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.40 % (755263)Instruction limit reached!
% 0.76/0.40 % (755263)------------------------------
% 0.76/0.40 % (755263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755263)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755263)Termination reason: Instruction limit
% 0.76/0.40 % (755263)Termination phase: shuffling
% 0.76/0.40 % (755263)Time elapsed: 0.004 s
% 0.76/0.40 % (755263)Peak memory usage: 10 MB
% 0.76/0.40 % (755263)Instructions burned: 9 (million)
% 0.76/0.40 % (755269)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1005041728:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.76/0.40 % (755243)Instruction limit reached!
% 0.76/0.40 % (755243)------------------------------
% 0.76/0.40 % (755243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755243)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755243)Termination reason: Instruction limit
% 0.76/0.40 % (755243)Termination phase: Saturation
% 0.76/0.40 % (755243)Time elapsed: 0.068 s
% 0.76/0.40 % (755243)Peak memory usage: 14 MB
% 0.76/0.40 % (755243)Instructions burned: 158 (million)
% 0.76/0.40 % (755269)Instruction limit reached!
% 0.76/0.40 % (755269)------------------------------
% 0.76/0.40 % (755269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755269)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755269)Termination reason: Instruction limit
% 0.76/0.40 % (755269)Termination phase: Preprocessing 3
% 0.76/0.40 % (755269)Time elapsed: 0.007 s
% 0.76/0.40 % (755269)Peak memory usage: 11 MB
% 0.76/0.40 % (755269)Instructions burned: 27 (million)
% 0.76/0.40 % (755268)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=524964764:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.76/0.40 % (755270)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=186701694:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.40 % (755264)Instruction limit reached!
% 0.76/0.40 % (755264)------------------------------
% 0.76/0.40 % (755264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755264)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755264)Termination reason: Instruction limit
% 0.76/0.40 % (755264)Termination phase: Property scanning
% 0.76/0.40 % (755264)Time elapsed: 0.019 s
% 0.76/0.40 % (755264)Peak memory usage: 12 MB
% 0.76/0.40 % (755264)Instructions burned: 40 (million)
% 0.76/0.40 % (755272)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3569377143:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.76/0.40 % (755270)Instruction limit reached!
% 0.76/0.40 % (755270)------------------------------
% 0.76/0.40 % (755270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755270)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755270)Termination reason: Instruction limit
% 0.76/0.40 % (755270)Termination phase: Property scanning
% 0.76/0.40 % (755270)Time elapsed: 0.006 s
% 0.76/0.40 % (755270)Peak memory usage: 10 MB
% 0.76/0.40 % (755270)Instructions burned: 14 (million)
% 0.76/0.40 % (755276)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2677557037: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)
% 0.76/0.40 % (755276)Instruction limit reached!
% 0.76/0.40 % (755276)------------------------------
% 0.76/0.40 % (755276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755276)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755276)Termination reason: Instruction limit
% 0.76/0.40 % (755276)Termination phase: shuffling
% 0.76/0.40 % (755276)Time elapsed: 0.001 s
% 0.76/0.40 % (755276)Peak memory usage: 10 MB
% 0.76/0.40 % (755276)Instructions burned: 4 (million)
% 0.76/0.40 % (755274)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=809534815:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.40 % (755274)Instruction limit reached!
% 0.76/0.40 % (755274)------------------------------
% 0.76/0.40 % (755274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755274)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755274)Termination reason: Instruction limit
% 0.76/0.40 % (755274)Termination phase: Property scanning
% 0.76/0.40 % (755274)Time elapsed: 0.006 s
% 0.76/0.40 % (755274)Peak memory usage: 10 MB
% 0.76/0.40 % (755274)Instructions burned: 14 (million)
% 0.76/0.40 % (755282)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1894126961:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.76/0.40 % (755278)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3388340027:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.76/0.40 % (755280)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3158907358:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.76/0.40 % (755284)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
% 0.76/0.40 % (755284)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.76/0.40 % (755278)Instruction limit reached!
% 0.76/0.40 % (755278)------------------------------
% 0.76/0.40 % (755278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755278)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755278)Termination reason: Instruction limit
% 0.76/0.40 % (755278)Termination phase: Property scanning
% 0.76/0.40 % (755278)Time elapsed: 0.011 s
% 0.76/0.40 % (755278)Peak memory usage: 10 MB
% 0.76/0.40 % (755278)Instructions burned: 27 (million)
% 0.76/0.40 % (755282)Instruction limit reached!
% 0.76/0.40 % (755282)------------------------------
% 0.76/0.40 % (755282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755282)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755282)Termination reason: Instruction limit
% 0.76/0.40 % (755282)Termination phase: Saturation
% 0.76/0.40 % (755282)Time elapsed: 0.015 s
% 0.76/0.40 % (755282)Peak memory usage: 12 MB
% 0.76/0.40 % (755282)Instructions burned: 62 (million)
% 0.76/0.40 % (755240) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-755232-755240"...
% 0.76/0.40 % (755284)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=607370148:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.40 % (755280)Instruction limit reached!
% 0.76/0.40 % (755280)------------------------------
% 0.76/0.40 % (755280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (755280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (755280)CaDiCaL version: 2.1.3
% 0.76/0.40 % (755280)Termination reason: Instruction limit
% 0.76/0.40 % (755280)Termination phase: shuffling
% 0.76/0.40 % (755280)Time elapsed: 0.010 s
% 0.76/0.40 % (755280)Peak memory usage: 10 MB
% 0.76/0.40 % (755280)Instructions burned: 25 (million)
% 0.76/0.40 % (755240)...printing done.
% 0.76/0.40 % (755240)Refutation found. Thanks to Tanya!
% 0.76/0.40 % SZS status Theorem for theBenchmark
% 0.76/0.40 % SZS output start Proof for theBenchmark
% 0.76/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.76/0.40 thf(func_def_0, type, in: ($i > $i > $o)).
% 0.76/0.40 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 0.76/0.40 thf(func_def_3, type, setextAx: $o).
% 0.76/0.40 thf(func_def_5, type, emptysetAx: $o).
% 0.76/0.40 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 0.76/0.40 thf(func_def_7, type, setadjoinAx: $o).
% 0.76/0.40 thf(func_def_8, type, powerset: ($i > $i)).
% 0.76/0.40 thf(func_def_9, type, powersetAx: $o).
% 0.76/0.40 thf(func_def_10, type, setunion: ($i > $i)).
% 0.76/0.40 thf(func_def_11, type, setunionAx: $o).
% 0.76/0.40 thf(func_def_13, type, omega0Ax: $o).
% 0.76/0.40 thf(func_def_14, type, omegaSAx: $o).
% 0.76/0.40 thf(func_def_15, type, omegaIndAx: $o).
% 0.76/0.40 thf(func_def_16, type, replAx: $o).
% 0.76/0.40 thf(func_def_17, type, foundationAx: $o).
% 0.76/0.40 thf(func_def_18, type, wellorderingAx: $o).
% 0.76/0.40 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 0.76/0.40 thf(func_def_20, type, descrp: $o).
% 0.76/0.40 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 0.76/0.40 thf(func_def_22, type, dsetconstrI: $o).
% 0.76/0.40 thf(func_def_23, type, dsetconstrEL: $o).
% 0.76/0.40 thf(func_def_24, type, dsetconstrER: $o).
% 0.76/0.40 thf(func_def_25, type, exuE1: $o).
% 0.76/0.40 thf(func_def_26, type, prop2set: ($o > $i)).
% 0.76/0.40 thf(func_def_27, type, prop2setE: $o).
% 0.76/0.40 thf(func_def_28, type, emptysetE: $o).
% 0.76/0.40 thf(func_def_29, type, emptysetimpfalse: $o).
% 0.76/0.40 thf(func_def_30, type, notinemptyset: $o).
% 0.76/0.40 thf(func_def_31, type, exuE3e: $o).
% 0.76/0.40 thf(func_def_32, type, setext: $o).
% 0.76/0.40 thf(func_def_33, type, emptyI: $o).
% 0.76/0.40 thf(func_def_34, type, noeltsimpempty: $o).
% 0.76/0.40 thf(func_def_35, type, setbeta: $o).
% 0.76/0.40 thf(func_def_36, type, nonempty: ($i > $o)).
% 0.76/0.40 thf(func_def_37, type, nonemptyE1: $o).
% 0.76/0.40 thf(func_def_38, type, nonemptyI: $o).
% 0.76/0.40 thf(func_def_39, type, nonemptyI1: $o).
% 0.76/0.40 thf(func_def_40, type, setadjoinIL: $o).
% 0.76/0.40 thf(func_def_41, type, emptyinunitempty: $o).
% 0.76/0.40 thf(func_def_42, type, setadjoinIR: $o).
% 0.76/0.40 thf(func_def_43, type, setadjoinE: $o).
% 0.76/0.40 thf(func_def_44, type, setadjoinOr: $o).
% 0.76/0.40 thf(func_def_45, type, setoftrueEq: $o).
% 0.76/0.40 thf(func_def_46, type, powersetI: $o).
% 0.76/0.40 thf(func_def_47, type, emptyinPowerset: $o).
% 0.76/0.40 thf(func_def_48, type, emptyInPowerset: $o).
% 0.76/0.40 thf(func_def_49, type, powersetE: $o).
% 0.76/0.40 thf(func_def_50, type, setunionI: $o).
% 0.76/0.40 thf(func_def_51, type, setunionE: $o).
% 0.76/0.40 thf(func_def_52, type, subPowSU: $o).
% 0.76/0.40 thf(func_def_53, type, exuE2: $o).
% 0.76/0.40 thf(func_def_54, type, nonemptyImpWitness: $o).
% 0.76/0.40 thf(func_def_55, type, uniqinunit: $o).
% 0.76/0.40 thf(func_def_56, type, notinsingleton: $o).
% 0.76/0.40 thf(func_def_57, type, eqinunit: $o).
% 0.76/0.40 thf(func_def_58, type, singletonsswitch: $o).
% 0.76/0.40 thf(func_def_59, type, upairsetE: $o).
% 0.76/0.40 thf(func_def_60, type, upairsetIL: $o).
% 0.76/0.40 thf(func_def_61, type, upairsetIR: $o).
% 0.76/0.40 thf(func_def_62, type, emptyE1: $o).
% 0.76/0.40 thf(func_def_63, type, vacuousDall: $o).
% 0.76/0.40 thf(func_def_64, type, quantDeMorgan1: $o).
% 0.76/0.40 thf(func_def_65, type, quantDeMorgan2: $o).
% 0.76/0.40 thf(func_def_66, type, quantDeMorgan3: $o).
% 0.76/0.40 thf(func_def_67, type, quantDeMorgan4: $o).
% 0.76/0.40 thf(func_def_68, type, prop2setI: $o).
% 0.76/0.40 thf(func_def_69, type, set2prop: ($i > $o)).
% 0.76/0.40 thf(func_def_70, type, prop2set2propI: $o).
% 0.76/0.40 thf(func_def_71, type, notdexE: $o).
% 0.76/0.40 thf(func_def_72, type, notdallE: $o).
% 0.76/0.40 thf(func_def_73, type, exuI1: $o).
% 0.76/0.40 thf(func_def_74, type, exuI3: $o).
% 0.76/0.40 thf(func_def_75, type, exuI2: $o).
% 0.76/0.40 thf(func_def_76, type, inCongP: $o).
% 0.76/0.40 thf(func_def_77, type, in__Cong: $o).
% 0.76/0.40 thf(func_def_78, type, exuE3u: $o).
% 0.76/0.40 thf(func_def_79, type, exu__Cong: $o).
% 0.76/0.40 thf(func_def_80, type, emptyset__Cong: $o).
% 0.76/0.40 thf(func_def_81, type, setadjoin__Cong: $o).
% 0.76/0.40 thf(func_def_82, type, powerset__Cong: $o).
% 0.76/0.40 thf(func_def_83, type, setunion__Cong: $o).
% 0.76/0.40 thf(func_def_84, type, omega__Cong: $o).
% 0.76/0.40 thf(func_def_85, type, exuEu: $o).
% 0.76/0.40 thf(func_def_86, type, descr__Cong: $o).
% 0.76/0.40 thf(func_def_87, type, dsetconstr__Cong: $o).
% 0.76/0.40 thf(func_def_88, type, subset: ($i > $i > $o)).
% 0.76/0.40 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 0.76/0.40 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 0.76/0.40 thf(func_def_91, type, subsetI1: $o).
% 0.76/0.40 thf(func_def_92, type, eqimpsubset2: $o).
% 0.76/0.40 thf(func_def_93, type, eqimpsubset1: $o).
% 0.76/0.41 thf(func_def_94, type, subsetI2: $o).
% 0.76/0.41 thf(func_def_95, type, emptysetsubset: $o).
% 0.76/0.41 thf(func_def_96, type, subsetE: $o).
% 0.76/0.41 thf(func_def_97, type, subsetE2: $o).
% 0.76/0.41 thf(func_def_98, type, notsubsetI: $o).
% 0.76/0.41 thf(func_def_99, type, notequalI1: $o).
% 0.76/0.41 thf(func_def_100, type, notequalI2: $o).
% 0.76/0.41 thf(func_def_101, type, subsetRefl: $o).
% 0.76/0.41 thf(func_def_102, type, subsetTrans: $o).
% 0.76/0.41 thf(func_def_103, type, setadjoinSub: $o).
% 0.76/0.41 thf(func_def_104, type, setadjoinSub2: $o).
% 0.76/0.41 thf(func_def_105, type, subset2powerset: $o).
% 0.76/0.41 thf(func_def_106, type, setextsub: $o).
% 0.76/0.41 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 0.76/0.41 thf(func_def_108, type, powersetI1: $o).
% 0.76/0.41 thf(func_def_109, type, powersetE1: $o).
% 0.76/0.41 thf(func_def_110, type, inPowerset: $o).
% 0.76/0.41 thf(func_def_111, type, powersetsubset: $o).
% 0.76/0.41 thf(func_def_112, type, sepInPowerset: $o).
% 0.76/0.41 thf(func_def_113, type, sepSubset: $o).
% 0.76/0.41 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_115, type, binunionIL: $o).
% 0.76/0.41 thf(func_def_116, type, upairset2IR: $o).
% 0.76/0.41 thf(func_def_117, type, binunionIR: $o).
% 0.76/0.41 thf(func_def_118, type, binunionEcases: $o).
% 0.76/0.41 thf(func_def_119, type, binunionE: $o).
% 0.76/0.41 thf(func_def_120, type, binunionLsub: $o).
% 0.76/0.41 thf(func_def_121, type, binunionRsub: $o).
% 0.76/0.41 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_123, type, binintersectI: $o).
% 0.76/0.41 thf(func_def_124, type, binintersectSubset5: $o).
% 0.76/0.41 thf(func_def_125, type, binintersectEL: $o).
% 0.76/0.41 thf(func_def_126, type, binintersectLsub: $o).
% 0.76/0.41 thf(func_def_127, type, binintersectSubset2: $o).
% 0.76/0.41 thf(func_def_128, type, binintersectSubset3: $o).
% 0.76/0.41 thf(func_def_129, type, binintersectER: $o).
% 0.76/0.41 thf(func_def_130, type, disjointsetsI1: $o).
% 0.76/0.41 thf(func_def_131, type, binintersectRsub: $o).
% 0.76/0.41 thf(func_def_132, type, binintersectSubset4: $o).
% 0.76/0.41 thf(func_def_133, type, binintersectSubset1: $o).
% 0.76/0.41 thf(func_def_134, type, bs114d: $o).
% 0.76/0.41 thf(func_def_135, type, regular: ($i > $o)).
% 0.76/0.41 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_137, type, setminusI: $o).
% 0.76/0.41 thf(func_def_138, type, setminusEL: $o).
% 0.76/0.41 thf(func_def_139, type, setminusER: $o).
% 0.76/0.41 thf(func_def_140, type, setminusSubset2: $o).
% 0.76/0.41 thf(func_def_141, type, setminusERneg: $o).
% 0.76/0.41 thf(func_def_142, type, setminusELneg: $o).
% 0.76/0.41 thf(func_def_143, type, setminusILneg: $o).
% 0.76/0.41 thf(func_def_144, type, setminusIRneg: $o).
% 0.76/0.41 thf(func_def_145, type, setminusLsub: $o).
% 0.76/0.41 thf(func_def_148, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.76/0.41 thf(func_def_149, type, vAND: ($o > $o > $o)).
% 0.76/0.41 thf(func_def_150, type, db1: !>[X0: $tType]:(X0)).
% 0.76/0.41 thf(func_def_151, type, db0: !>[X0: $tType]:(X0)).
% 0.76/0.41 thf(func_def_152, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.76/0.41 thf(func_def_153, type, vIMP: ($o > $o > $o)).
% 0.76/0.41 thf(func_def_154, type, db2: !>[X0: $tType]:(X0)).
% 0.76/0.41 thf(func_def_155, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.76/0.41 thf(func_def_156, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.76/0.41 thf(func_def_157, type, vNOT: ($o > $o)).
% 0.76/0.41 thf(func_def_158, type, sP0: ($i > $i > $o)).
% 0.76/0.41 thf(func_def_159, type, sP1: ($i > $o)).
% 0.76/0.41 thf(func_def_160, type, sP2: $o).
% 0.76/0.41 thf(func_def_161, type, sK3: ($i > $o)).
% 0.76/0.41 thf(func_def_169, type, sK11: ($i > $o)).
% 0.76/0.41 thf(func_def_173, type, sK15: ($i > $o)).
% 0.76/0.41 thf(func_def_175, type, sK17: (($i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_185, type, sK27: ($i > $i)).
% 0.76/0.41 thf(func_def_188, type, sK30: (($i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_190, type, sK32: ($i > $o)).
% 0.76/0.41 thf(func_def_195, type, sK37: $o).
% 0.76/0.41 thf(func_def_209, type, sK51: $o).
% 0.76/0.41 thf(func_def_222, type, sK64: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_240, type, sK82: ($i > $o)).
% 0.76/0.41 thf(func_def_241, type, sK83: ($i > $i)).
% 0.76/0.41 thf(func_def_242, type, sK84: (($i > $o) > $i)).
% 0.76/0.41 thf(func_def_251, type, sK93: ($i > $o)).
% 0.76/0.41 thf(func_def_257, type, sK99: ($i > $i)).
% 0.76/0.41 thf(func_def_263, type, sK105: ($i > $o)).
% 0.76/0.41 thf(func_def_288, type, sK130: ($i > $o)).
% 0.76/0.41 thf(func_def_290, type, sK132: (($i > $o) > $i)).
% 0.76/0.41 thf(func_def_291, type, sK133: (($i > $o) > $i)).
% 0.76/0.41 thf(func_def_292, type, sK134: $o).
% 0.76/0.41 thf(func_def_295, type, sK137: ($i > $i)).
% 0.76/0.41 thf(func_def_298, type, sK140: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_307, type, sK149: ($i > $o)).
% 0.76/0.41 thf(func_def_308, type, sK150: ($i > $o)).
% 0.76/0.41 thf(func_def_311, type, sK153: ($i > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_315, type, sK157: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_317, type, sK159: ($i > $o)).
% 0.76/0.41 thf(func_def_321, type, sK163: ($i > $i)).
% 0.76/0.41 thf(func_def_322, type, sK164: ($i > $o)).
% 0.76/0.41 thf(func_def_323, type, sK165: ($i > $o)).
% 0.76/0.41 thf(func_def_324, type, sK166: (($i > $o) > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_325, type, sK167: (($i > $o) > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_327, type, sK169: (($i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_329, type, sK171: ($i > $o)).
% 0.76/0.41 thf(func_def_331, type, sK173: ($i > $o)).
% 0.76/0.41 thf(func_def_333, type, sK175: ($i > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_336, type, sK178: ($i > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_337, type, sK179: ($i > $o)).
% 0.76/0.41 thf(func_def_348, type, sK190: ($i > $i)).
% 0.76/0.41 thf(func_def_356, type, sK198: (($i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_358, type, sK200: ($i > $o)).
% 0.76/0.41 thf(func_def_362, type, sK204: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_363, type, sK205: $o).
% 0.76/0.41 thf(func_def_369, type, sK211: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_370, type, sK212: ($i > $o)).
% 0.76/0.41 thf(func_def_379, type, sK221: ($i > $i)).
% 0.76/0.41 thf(func_def_382, type, sK224: ($i > $i)).
% 0.76/0.41 thf(func_def_385, type, sK227: ($i > $o)).
% 0.76/0.41 thf(func_def_387, type, sK229: ($i > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_389, type, sK231: ($i > $o)).
% 0.76/0.41 thf(func_def_390, type, sK232: ($i > $o)).
% 0.76/0.41 thf(func_def_391, type, sK233: ($i > $o)).
% 0.76/0.41 thf(func_def_392, type, sK234: (($i > $o) > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_393, type, sK235: (($i > $o) > ($i > $o) > $i)).
% 0.76/0.41 thf(func_def_396, type, sK238: ($i > $o)).
% 0.76/0.41 thf(func_def_397, type, sK239: ($i > $i)).
% 0.76/0.41 thf(func_def_398, type, sK240: (($i > $o) > $i)).
% 0.76/0.41 thf(func_def_401, type, sK243: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_402, type, sK244: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_403, type, sK245: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_416, type, sK258: (($i > $i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_417, type, sK259: (($i > $i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_418, type, sK260: ($i > ($i > $i > $o) > $i > $i)).
% 0.76/0.41 thf(func_def_420, type, sK262: ($i > $i > $o)).
% 0.76/0.41 thf(func_def_421, type, sK263: ($i > $i)).
% 0.76/0.41 thf(func_def_422, type, sK264: ($i > $i)).
% 0.76/0.41 thf(func_def_428, type, sK270: $o).
% 0.76/0.41 thf(func_def_429, type, sK271: ($o > $i > $i > $i)).
% 0.76/0.41 thf(func_def_435, type, sK277: ($i > $o)).
% 0.76/0.41 thf(func_def_438, type, sK280: (($i > $o) > $i)).
% 0.76/0.41 thf(func_def_439, type, sK281: ($i > $o)).
% 0.76/0.41 thf(func_def_443, type, sK285: $o).
% 0.76/0.41 thf(func_def_446, type, sK288: ($i > $o)).
% 0.76/0.41 thf(func_def_449, type, sK291: ($i > $i)).
% 0.76/0.41 thf(func_def_450, type, sK292: ($i > $i)).
% 0.76/0.41 thf(func_def_451, type, sK293: ($i > $i)).
% 0.76/0.41 thf(func_def_452, type, sK294: ($i > $i)).
% 0.76/0.41 thf(func_def_453, type, sK295: ($i > $i)).
% 0.76/0.41 thf(func_def_454, type, sK296: ($i > $i > $i > $i)).
% 0.76/0.41 thf(func_def_455, type, sK297: ($i > $i)).
% 0.76/0.41 thf(func_def_456, type, sK298: ($i > $i)).
% 0.76/0.41 thf(func_def_457, type, sK299: ($i > $i)).
% 0.76/0.41 thf(func_def_458, type, sK300: ($i > $i)).
% 0.76/0.41 thf(func_def_459, type, sK301: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_460, type, sK302: ($i > $i > $i > $i)).
% 0.76/0.41 thf(func_def_461, type, sK303: ($i > $i > $i > $i)).
% 0.76/0.41 thf(func_def_462, type, sK304: ($i > $i > $i > $i)).
% 0.76/0.41 thf(func_def_463, type, sK305: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_464, type, sK306: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_465, type, sK307: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_466, type, sK308: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_474, type, sK316: ($i > $i > $i)).
% 0.76/0.41 thf(func_def_475, type, sK317: $o).
% 0.76/0.41 thf(func_def_483, type, sK325: ($i > $o)).
% 0.76/0.41 thf(func_def_484, type, sK326: ($i > $o)).
% 0.76/0.41 thf(func_def_485, type, sK327: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.76/0.41 thf(func_def_486, type, sK328: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.76/0.41 thf(func_def_499, type, sK341: ($i > $o)).
% 0.76/0.41 thf(func_def_501, type, sK343: ($i > $o)).
% 0.76/0.41 thf(f21,axiom,(
% 0.76/0.41 (notinemptyset = ! [X0 : $i] : ~(in @ X0 @ emptyset))),
% 0.76/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset)).
% 0.76/0.41 thf(f81,axiom,(
% 0.76/0.41 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.76/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2)).
% 0.76/0.41 thf(f120,axiom,(
% 0.76/0.41 (setminusI = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => (~(in @ X2 @ X1) => (in @ X2 @ (setminus @ X0 @ X1)))))),
% 0.76/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusI)).
% 0.76/0.41 thf(f129,conjecture,(
% 0.76/0.41 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => ! [X0 : $i,X1 : $i] : ((((setminus @ X0 @ X1)) = emptyset) => (subset @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.76/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusSubset1)).
% 0.76/0.41 thf(f130,negated_conjecture,(
% 0.76/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => ! [X0 : $i,X1 : $i] : ((((setminus @ X0 @ X1)) = emptyset) => (subset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.76/0.41 inference(negated_conjecture,[status(cth)],[f129])).
% 0.76/0.41 thf(f133,plain,(
% 0.76/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => ! [X0 : $i,X1 : $i] : ((((setminus @ X0 @ X1)) = emptyset) => (subset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.76/0.41 inference(rectify,[],[f130])).
% 0.76/0.41 thf(f134,plain,(
% 0.76/0.41 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ! [X1 : $i,X0 : $i] : ((emptyset = ((setminus @ X0 @ X1))) => (((subset @ X0 @ X1)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.76/0.41 inference(fool_elimination,[],[f133])).
% 0.76/0.41 thf(f257,plain,(
% 0.76/0.41 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.76/0.41 inference(rectify,[],[f81])).
% 0.76/0.41 thf(f258,plain,(
% 0.76/0.41 (subsetI2 = $true) <=> ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((((in @ X2 @ X0)) = $true) => (((in @ X2 @ X1)) = $true)) => (((subset @ X0 @ X1)) = $true))),
% 0.76/0.41 inference(fool_elimination,[],[f257])).
% 0.76/0.41 thf(f341,plain,(
% 0.76/0.41 (setminusI = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => (~(in @ X2 @ X1) => (in @ X2 @ (setminus @ X0 @ X1)))))),
% 0.76/0.41 inference(rectify,[],[f120])).
% 0.76/0.41 thf(f342,plain,(
% 0.76/0.41 (setminusI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ X0)) = $true) => (~ (((in @ X2 @ X1)) = $true) => (((in @ X2 @ (setminus @ X0 @ X1))) = $true)))),
% 0.76/0.41 inference(fool_elimination,[],[f341])).
% 0.76/0.41 thf(f369,plain,(
% 0.76/0.41 (notinemptyset = ! [X0 : $i] : ~(in @ X0 @ emptyset))),
% 0.76/0.41 inference(rectify,[],[f21])).
% 0.76/0.41 thf(f370,plain,(
% 0.76/0.41 (notinemptyset = $true) <=> ! [X0 : $i] : ~ (((in @ X0 @ emptyset)) = $true)),
% 0.76/0.41 inference(fool_elimination,[],[f369])).
% 0.76/0.41 thf(f405,plain,(
% 0.76/0.41 ! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ X0)) = $true) => ((((in @ X2 @ X1)) != $true) => (((in @ X2 @ (setminus @ X0 @ X1))) = $true))) <=> (setminusI = $true)),
% 0.76/0.41 inference(flattening,[],[f342])).
% 0.76/0.41 thf(f410,plain,(
% 0.76/0.41 ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) <=> (notinemptyset = $true)),
% 0.76/0.41 inference(flattening,[],[f370])).
% 0.76/0.41 thf(f413,plain,(
% 0.76/0.41 ! [X1 : $i,X0 : $i,X2 : $i] : (((((in @ X2 @ (setminus @ X0 @ X1))) = $true) | (((in @ X2 @ X1)) = $true)) | (((in @ X2 @ X0)) != $true)) <=> (setminusI = $true)),
% 0.76/0.41 inference(ennf_transformation,[],[f405])).
% 0.76/0.41 thf(f414,plain,(
% 0.76/0.41 (setminusI = $true) <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ (setminus @ X0 @ X1))) = $true) | (((in @ X2 @ X1)) = $true))),
% 0.76/0.41 inference(flattening,[],[f413])).
% 0.76/0.41 thf(f464,plain,(
% 0.76/0.41 (subsetI2 = $true) <=> ! [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X2 @ X1)) != $true)))),
% 0.76/0.41 inference(ennf_transformation,[],[f258])).
% 0.76/0.41 thf(f524,plain,(
% 0.76/0.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : ((emptyset = ((setminus @ X0 @ X1))) & (((subset @ X0 @ X1)) != $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.76/0.41 inference(ennf_transformation,[],[f134])).
% 0.76/0.41 thf(f525,plain,(
% 0.76/0.41 (binintersectEL = $true) & (binintersectSubset1 = $true) & (inCongP = $true) & (powersetE1 = $true) & (wellorderingAx = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (nonemptyI = $true) & (emptyset__Cong = $true) & (powersetI = $true) & (setminusEL = $true) & (exuEu = $true) & (exu__Cong = $true) & (omega__Cong = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (notequalI2 = $true) & (emptysetE = $true) & (omegaSAx = $true) & (notdexE = $true) & (descr__Cong = $true) & (setext = $true) & (prop2set2propI = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (binintersectSubset5 = $true) & (setminusELneg = $true) & ? [X1 : $i,X0 : $i] : ((emptyset = ((setminus @ X0 @ X1))) & (((subset @ X0 @ X1)) != $true)) & (binunionRsub = $true) & (subsetE = $true) & (setoftrueEq = $true) & (setminusI = $true) & (descrp = $true) & (sepSubset = $true) & (powersetAx = $true) & (quantDeMorgan1 = $true) & (setminusLsub = $true) & (setadjoinIR = $true) & (notequalI1 = $true) & (exuI1 = $true) & (setunionI = $true) & (subsetE2 = $true) & (binintersectSubset2 = $true) & (binunionIR = $true) & (notinsingleton = $true) & (subset2powerset = $true) & (notdallE = $true) & (powerset__Cong = $true) & (eqimpsubset2 = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (emptysetAx = $true) & (setadjoinOr = $true) & (bs114d = $true) & (emptyE1 = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (setminusER = $true) & (binintersectLsub = $true) & (setunionAx = $true) & (binintersectER = $true) & (setextsub = $true) & (upairsetIL = $true) & (inPowerset = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (setminusILneg = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan4 = $true) & (emptyI = $true) & (setunion__Cong = $true) & (subsetI2 = $true) & (dsetconstrI = $true) & (binintersectI = $true) & (binunionLsub = $true) & (replAx = $true) & (prop2setI = $true) & (setadjoinSub2 = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (emptyinPowerset = $true) & (powersetsubset = $true) & (binunionE = $true) & (omega0Ax = $true) & (subPowSU = $true) & (emptyinunitempty = $true) & (emptyInPowerset = $true) & (singletonsswitch = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (binintersectSubset3 = $true) & (dsetconstr__Cong = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (disjointsetsI1 = $true) & (exuE3e = $true) & (eqimpsubset1 = $true) & (prop2setE = $true) & (exuI2 = $true) & (setextAx = $true) & (exuE2 = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (setadjoinE = $true) & (powersetI1 = $true) & (powersetE = $true) & (upairsetE = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (setminusERneg = $true) & (eqinunit = $true) & (sepInPowerset = $true) & (binintersectSubset4 = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyImpWitness = $true) & (setunionE = $true) & (setadjoin__Cong = $true) & (subsetI1 = $true) & (foundationAx = $true) & (exuI3 = $true) & (setminusSubset2 = $true) & (subsetemptysetimpeq = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (binunionIL = $true)),
% 0.76/0.41 inference(flattening,[],[f524])).
% 0.76/0.41 thf(f637,plain,(
% 0.76/0.41 ((setminusI = $true) | ? [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X2 @ (setminus @ X0 @ X1))) != $true) & (((in @ X2 @ X1)) != $true))) & (! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ (setminus @ X0 @ X1))) = $true) | (((in @ X2 @ X1)) = $true)) | (setminusI != $true))),
% 0.76/0.41 inference(nnf_transformation,[],[f414])).
% 0.76/0.41 thf(f638,plain,(
% 0.76/0.41 ((setminusI = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true = ((in @ X0 @ X1))) & ($true != ((in @ X0 @ (setminus @ X1 @ X2)))) & (((in @ X0 @ X2)) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ X4)) != $true) | (((in @ X3 @ (setminus @ X4 @ X5))) = $true) | (((in @ X3 @ X5)) = $true)) | (setminusI != $true))),
% 0.76/0.41 inference(rectify,[],[f637])).
% 0.76/0.41 thf(f639,plain,(
% 0.76/0.41 ((setminusI = $true) | (($true = ((in @ sK77 @ sK78))) & ($true != ((in @ sK77 @ (setminus @ sK78 @ sK79)))) & ($true != ((in @ sK77 @ sK79))))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ X4)) != $true) | (((in @ X3 @ (setminus @ X4 @ X5))) = $true) | (((in @ X3 @ X5)) = $true)) | (setminusI != $true))),
% 0.76/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK77,sK78,sK79]),skolemize(X0,sK77),skolemize(X1,sK78),skolemize(X2,sK79)],[f638])).
% 0.76/0.41 thf(f649,plain,(
% 0.76/0.41 (! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) | (notinemptyset != $true)) & ((notinemptyset = $true) | ? [X0 : $i] : (((in @ X0 @ emptyset)) = $true))),
% 0.76/0.41 inference(nnf_transformation,[],[f410])).
% 0.76/0.41 thf(f650,plain,(
% 0.76/0.41 (! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) | (notinemptyset != $true)) & ((notinemptyset = $true) | ? [X1 : $i] : (((in @ X1 @ emptyset)) = $true))),
% 0.76/0.41 inference(rectify,[],[f649])).
% 0.76/0.41 thf(f651,plain,(
% 0.76/0.41 (! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) | (notinemptyset != $true)) & ((notinemptyset = $true) | (((in @ sK88 @ emptyset)) = $true))),
% 0.76/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X1,sK88)],[f650])).
% 0.76/0.41 thf(f676,plain,(
% 0.76/0.41 (binintersectEL = $true) & (binintersectSubset1 = $true) & (inCongP = $true) & (powersetE1 = $true) & (wellorderingAx = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (nonemptyI = $true) & (emptyset__Cong = $true) & (powersetI = $true) & (setminusEL = $true) & (exuEu = $true) & (exu__Cong = $true) & (omega__Cong = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (notequalI2 = $true) & (emptysetE = $true) & (omegaSAx = $true) & (notdexE = $true) & (descr__Cong = $true) & (setext = $true) & (prop2set2propI = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (binintersectSubset5 = $true) & (setminusELneg = $true) & ? [X0 : $i,X1 : $i] : ((emptyset = ((setminus @ X1 @ X0))) & (((subset @ X1 @ X0)) != $true)) & (binunionRsub = $true) & (subsetE = $true) & (setoftrueEq = $true) & (setminusI = $true) & (descrp = $true) & (sepSubset = $true) & (powersetAx = $true) & (quantDeMorgan1 = $true) & (setminusLsub = $true) & (setadjoinIR = $true) & (notequalI1 = $true) & (exuI1 = $true) & (setunionI = $true) & (subsetE2 = $true) & (binintersectSubset2 = $true) & (binunionIR = $true) & (notinsingleton = $true) & (subset2powerset = $true) & (notdallE = $true) & (powerset__Cong = $true) & (eqimpsubset2 = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (emptysetAx = $true) & (setadjoinOr = $true) & (bs114d = $true) & (emptyE1 = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (setminusER = $true) & (binintersectLsub = $true) & (setunionAx = $true) & (binintersectER = $true) & (setextsub = $true) & (upairsetIL = $true) & (inPowerset = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (setminusILneg = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan4 = $true) & (emptyI = $true) & (setunion__Cong = $true) & (subsetI2 = $true) & (dsetconstrI = $true) & (binintersectI = $true) & (binunionLsub = $true) & (replAx = $true) & (prop2setI = $true) & (setadjoinSub2 = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (emptyinPowerset = $true) & (powersetsubset = $true) & (binunionE = $true) & (omega0Ax = $true) & (subPowSU = $true) & (emptyinunitempty = $true) & (emptyInPowerset = $true) & (singletonsswitch = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (binintersectSubset3 = $true) & (dsetconstr__Cong = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (disjointsetsI1 = $true) & (exuE3e = $true) & (eqimpsubset1 = $true) & (prop2setE = $true) & (exuI2 = $true) & (setextAx = $true) & (exuE2 = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (setadjoinE = $true) & (powersetI1 = $true) & (powersetE = $true) & (upairsetE = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (setminusERneg = $true) & (eqinunit = $true) & (sepInPowerset = $true) & (binintersectSubset4 = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyImpWitness = $true) & (setunionE = $true) & (setadjoin__Cong = $true) & (subsetI1 = $true) & (foundationAx = $true) & (exuI3 = $true) & (setminusSubset2 = $true) & (subsetemptysetimpeq = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (binunionIL = $true)),
% 0.76/0.41 inference(rectify,[],[f525])).
% 0.76/0.41 thf(f677,plain,(
% 0.76/0.41 (binintersectEL = $true) & (binintersectSubset1 = $true) & (inCongP = $true) & (powersetE1 = $true) & (wellorderingAx = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (nonemptyI = $true) & (emptyset__Cong = $true) & (powersetI = $true) & (setminusEL = $true) & (exuEu = $true) & (exu__Cong = $true) & (omega__Cong = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (notequalI2 = $true) & (emptysetE = $true) & (omegaSAx = $true) & (notdexE = $true) & (descr__Cong = $true) & (setext = $true) & (prop2set2propI = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (binintersectSubset5 = $true) & (setminusELneg = $true) & ((emptyset = ((setminus @ sK112 @ sK111))) & ($true != ((subset @ sK112 @ sK111)))) & (binunionRsub = $true) & (subsetE = $true) & (setoftrueEq = $true) & (setminusI = $true) & (descrp = $true) & (sepSubset = $true) & (powersetAx = $true) & (quantDeMorgan1 = $true) & (setminusLsub = $true) & (setadjoinIR = $true) & (notequalI1 = $true) & (exuI1 = $true) & (setunionI = $true) & (subsetE2 = $true) & (binintersectSubset2 = $true) & (binunionIR = $true) & (notinsingleton = $true) & (subset2powerset = $true) & (notdallE = $true) & (powerset__Cong = $true) & (eqimpsubset2 = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (emptysetAx = $true) & (setadjoinOr = $true) & (bs114d = $true) & (emptyE1 = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (setminusER = $true) & (binintersectLsub = $true) & (setunionAx = $true) & (binintersectER = $true) & (setextsub = $true) & (upairsetIL = $true) & (inPowerset = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (setminusILneg = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan4 = $true) & (emptyI = $true) & (setunion__Cong = $true) & (subsetI2 = $true) & (dsetconstrI = $true) & (binintersectI = $true) & (binunionLsub = $true) & (replAx = $true) & (prop2setI = $true) & (setadjoinSub2 = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (emptyinPowerset = $true) & (powersetsubset = $true) & (binunionE = $true) & (omega0Ax = $true) & (subPowSU = $true) & (emptyinunitempty = $true) & (emptyInPowerset = $true) & (singletonsswitch = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (binintersectSubset3 = $true) & (dsetconstr__Cong = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (disjointsetsI1 = $true) & (exuE3e = $true) & (eqimpsubset1 = $true) & (prop2setE = $true) & (exuI2 = $true) & (setextAx = $true) & (exuE2 = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (setadjoinE = $true) & (powersetI1 = $true) & (powersetE = $true) & (upairsetE = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (setminusERneg = $true) & (eqinunit = $true) & (sepInPowerset = $true) & (binintersectSubset4 = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyImpWitness = $true) & (setunionE = $true) & (setadjoin__Cong = $true) & (subsetI1 = $true) & (foundationAx = $true) & (exuI3 = $true) & (setminusSubset2 = $true) & (subsetemptysetimpeq = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (binunionIL = $true)),
% 0.76/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112]),skolemize(X0,sK111),skolemize(X1,sK112)],[f676])).
% 0.76/0.41 thf(f886,plain,(
% 0.76/0.41 ((subsetI2 = $true) | ? [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) != $true) & ! [X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ X1)) = $true)))) & (! [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X2 @ X1)) != $true))) | (subsetI2 != $true))),
% 0.76/0.41 inference(nnf_transformation,[],[f464])).
% 0.76/0.41 thf(f887,plain,(
% 0.76/0.41 ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) != $true) & ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true)))) & (! [X3 : $i,X4 : $i] : ((((subset @ X4 @ X3)) = $true) | ? [X5 : $i] : (($true = ((in @ X5 @ X4))) & (((in @ X5 @ X3)) != $true))) | (subsetI2 != $true))),
% 0.76/0.41 inference(rectify,[],[f886])).
% 0.76/0.41 thf(f888,plain,(
% 0.76/0.41 ((subsetI2 = $true) | ((((subset @ sK315 @ sK314)) != $true) & ! [X2 : $i] : ((((in @ X2 @ sK315)) != $true) | ($true = ((in @ X2 @ sK314)))))) & (! [X3 : $i,X4 : $i] : ((((subset @ X4 @ X3)) = $true) | ((((in @ (sK316 @ X4 @ X3) @ X4)) = $true) & ($true != ((in @ (sK316 @ X4 @ X3) @ X3))))) | (subsetI2 != $true))),
% 0.76/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK314,sK315,vAPP]),skolemize(X0,sK314),skolemize(X1,sK315),skolemize(X7,sK17 @ X5 @ X4)],[f887])).
% 0.76/0.41 thf(f1025,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ (setminus @ X4 @ X5))) = $true) | (((in @ X3 @ X5)) = $true) | (setminusI != $true) | (((in @ X3 @ X4)) != $true)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f639])).
% 0.76/0.41 thf(f1042,plain,(
% 0.76/0.41 ( ! [X0 : $i] : ((((in @ X0 @ emptyset)) != $true) | (notinemptyset != $true)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f651])).
% 0.76/0.41 thf(f1096,plain,(
% 0.76/0.41 (notinemptyset = $true)),
% 0.76/0.41 inference(cnf_transformation,[],[f677])).
% 0.76/0.41 thf(f1126,plain,(
% 0.76/0.41 (subsetI2 = $true)),
% 0.76/0.41 inference(cnf_transformation,[],[f677])).
% 0.76/0.41 thf(f1166,plain,(
% 0.76/0.41 (setminusI = $true)),
% 0.76/0.41 inference(cnf_transformation,[],[f677])).
% 0.76/0.41 thf(f1170,plain,(
% 0.76/0.41 ($true != ((subset @ sK112 @ sK111)))),
% 0.76/0.41 inference(cnf_transformation,[],[f677])).
% 0.76/0.41 thf(f1171,plain,(
% 0.76/0.41 (emptyset = ((setminus @ sK112 @ sK111)))),
% 0.76/0.41 inference(cnf_transformation,[],[f677])).
% 0.76/0.41 thf(f1504,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i] : (($true != ((in @ (sK316 @ X4 @ X3) @ X3))) | (subsetI2 != $true) | (((subset @ X4 @ X3)) = $true)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f888])).
% 0.76/0.41 thf(f1505,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i] : ((subsetI2 != $true) | (((subset @ X4 @ X3)) = $true) | (((in @ (sK316 @ X4 @ X3) @ X4)) = $true)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f888])).
% 0.76/0.41 thf(f1849,definition,(
% 0.76/0.41 spl344_37 <=> ! [X4 : $i,X5 : $i,X3 : $i] : ((((in @ X3 @ X5)) = $true) | (((in @ X3 @ X4)) != $true) | (((in @ X3 @ (setminus @ X4 @ X5))) = $true))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_37])],[avatar_definition])).
% 0.76/0.41 thf(f1850,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ (setminus @ X4 @ X5))) = $true) | (((in @ X3 @ X5)) = $true) | (((in @ X3 @ X4)) != $true)) ) | ~spl344_37),
% 0.76/0.41 inference(avatar_component_clause,[],[f1849])).
% 0.76/0.41 thf(f1861,definition,(
% 0.76/0.41 spl344_40 <=> (subsetI2 = $true)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_40])],[avatar_definition])).
% 0.76/0.41 thf(f1864,plain,(
% 0.76/0.41 spl344_40),
% 0.76/0.41 inference(avatar_split_clause,[],[f1126,f1861])).
% 0.76/0.41 thf(f2497,definition,(
% 0.76/0.41 spl344_184 <=> (notinemptyset = $true)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_184])],[avatar_definition])).
% 0.76/0.41 thf(f2707,definition,(
% 0.76/0.41 spl344_230 <=> ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_230])],[avatar_definition])).
% 0.76/0.41 thf(f2708,plain,(
% 0.76/0.41 ( ! [X0 : $i] : ((((in @ X0 @ emptyset)) != $true)) ) | ~spl344_230),
% 0.76/0.41 inference(avatar_component_clause,[],[f2707])).
% 0.76/0.41 thf(f2800,definition,(
% 0.76/0.41 spl344_250 <=> (setminusI = $true)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_250])],[avatar_definition])).
% 0.76/0.41 thf(f3373,definition,(
% 0.76/0.41 spl344_371 <=> ($true = ((subset @ sK112 @ sK111)))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_371])],[avatar_definition])).
% 0.76/0.41 thf(f3375,plain,(
% 0.76/0.41 ($true != ((subset @ sK112 @ sK111))) | spl344_371),
% 0.76/0.41 inference(avatar_component_clause,[],[f3373])).
% 0.76/0.41 thf(f3376,plain,(
% 0.76/0.41 ~spl344_371),
% 0.76/0.41 inference(avatar_split_clause,[],[f1170,f3373])).
% 0.76/0.41 thf(f3673,definition,(
% 0.76/0.41 spl344_432 <=> ! [X4 : $i,X3 : $i] : (($true != ((in @ (sK316 @ X4 @ X3) @ X3))) | (((subset @ X4 @ X3)) = $true))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_432])],[avatar_definition])).
% 0.76/0.41 thf(f3674,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i] : (($true != ((in @ (sK316 @ X4 @ X3) @ X3))) | (((subset @ X4 @ X3)) = $true)) ) | ~spl344_432),
% 0.76/0.41 inference(avatar_component_clause,[],[f3673])).
% 0.76/0.41 thf(f3675,plain,(
% 0.76/0.41 ~spl344_40 | spl344_432),
% 0.76/0.41 inference(avatar_split_clause,[],[f1504,f3673,f1861])).
% 0.76/0.41 thf(f3725,plain,(
% 0.76/0.41 ~spl344_250 | spl344_37),
% 0.76/0.41 inference(avatar_split_clause,[],[f1025,f1849,f2800])).
% 0.76/0.41 thf(f3796,plain,(
% 0.76/0.41 spl344_250),
% 0.76/0.41 inference(avatar_split_clause,[],[f1166,f2800])).
% 0.76/0.41 thf(f3885,plain,(
% 0.76/0.41 spl344_184),
% 0.76/0.41 inference(avatar_split_clause,[],[f1096,f2497])).
% 0.76/0.41 thf(f3973,definition,(
% 0.76/0.41 spl344_493 <=> (emptyset = ((setminus @ sK112 @ sK111)))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_493])],[avatar_definition])).
% 0.76/0.41 thf(f3975,plain,(
% 0.76/0.41 (emptyset = ((setminus @ sK112 @ sK111))) | ~spl344_493),
% 0.76/0.41 inference(avatar_component_clause,[],[f3973])).
% 0.76/0.41 thf(f3976,plain,(
% 0.76/0.41 spl344_493),
% 0.76/0.41 inference(avatar_split_clause,[],[f1171,f3973])).
% 0.76/0.41 thf(f4307,plain,(
% 0.76/0.41 ~spl344_184 | spl344_230),
% 0.76/0.41 inference(avatar_split_clause,[],[f1042,f2707,f2497])).
% 0.76/0.41 thf(f4405,definition,(
% 0.76/0.41 spl344_580 <=> ! [X4 : $i,X3 : $i] : ((((subset @ X4 @ X3)) = $true) | (((in @ (sK316 @ X4 @ X3) @ X4)) = $true))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl344_580])],[avatar_definition])).
% 0.76/0.41 thf(f4406,plain,(
% 0.76/0.41 ( ! [X3 : $i,X4 : $i] : ((((in @ (sK316 @ X4 @ X3) @ X4)) = $true) | (((subset @ X4 @ X3)) = $true)) ) | ~spl344_580),
% 0.76/0.41 inference(avatar_component_clause,[],[f4405])).
% 0.76/0.41 thf(f4407,plain,(
% 0.76/0.41 spl344_580 | ~spl344_40),
% 0.76/0.41 inference(avatar_split_clause,[],[f1505,f1861,f4405])).
% 0.76/0.41 thf(f5316,plain,(
% 0.76/0.41 ( ! [X0 : $i] : ((((in @ X0 @ sK112)) != $true) | (((in @ X0 @ emptyset)) = $true) | ($true = ((in @ X0 @ sK111)))) ) | (~spl344_37 | ~spl344_493)),
% 0.76/0.41 inference(superposition,[],[f1850,f3975])).
% 0.76/0.41 thf(f5342,plain,(
% 0.76/0.41 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK111))) | (((in @ X0 @ sK112)) != $true)) ) | (~spl344_37 | ~spl344_230 | ~spl344_493)),
% 0.76/0.41 inference(forward_subsumption_resolution,[],[f5316,f2708])).
% 0.76/0.41 thf(f5439,plain,(
% 0.76/0.41 ( ! [X0 : $i] : ((((in @ (sK316 @ X0 @ sK111) @ sK112)) != $true) | ($true = ((subset @ X0 @ sK111))) | ($true != $true)) ) | (~spl344_37 | ~spl344_230 | ~spl344_432 | ~spl344_493)),
% 0.76/0.41 inference(superposition,[],[f3674,f5342])).
% 0.76/0.41 thf(f5448,plain,(
% 0.76/0.41 ( ! [X0 : $i] : ((((in @ (sK316 @ X0 @ sK111) @ sK112)) != $true) | ($true = ((subset @ X0 @ sK111)))) ) | (~spl344_37 | ~spl344_230 | ~spl344_432 | ~spl344_493)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f5439])).
% 0.76/0.41 thf(f5530,plain,(
% 0.76/0.41 ($true = ((subset @ sK112 @ sK111))) | ($true != $true) | ($true = ((subset @ sK112 @ sK111))) | (~spl344_37 | ~spl344_230 | ~spl344_432 | ~spl344_493 | ~spl344_580)),
% 0.76/0.41 inference(superposition,[],[f5448,f4406])).
% 0.76/0.41 thf(f5533,plain,(
% 0.76/0.41 ($true = ((subset @ sK112 @ sK111))) | ($true != $true) | (~spl344_37 | ~spl344_230 | ~spl344_432 | ~spl344_493 | ~spl344_580)),
% 0.76/0.41 inference(duplicate_literal_removal,[],[f5530])).
% 0.76/0.41 thf(f5534,plain,(
% 0.76/0.41 ($true = ((subset @ sK112 @ sK111))) | (~spl344_37 | ~spl344_230 | ~spl344_432 | ~spl344_493 | ~spl344_580)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f5533])).
% 0.76/0.41 thf(f5535,plain,(
% 0.76/0.41 $false | (~spl344_37 | ~spl344_230 | spl344_371 | ~spl344_432 | ~spl344_493 | ~spl344_580)),
% 0.76/0.41 inference(forward_subsumption_resolution,[],[f5534,f3375])).
% 0.76/0.41 thf(f5536,plain,(
% 0.76/0.41 ~spl344_37 | ~spl344_230 | spl344_371 | ~spl344_432 | ~spl344_493 | ~spl344_580),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f5535])).
% 0.76/0.41 cnf(s26, plain, spl344_40, inference(sat_conversion,[],[f1864])).
% 0.76/0.41 cnf(s319, plain, ~spl344_371, inference(sat_conversion,[],[f3376])).
% 0.76/0.41 cnf(s390, plain, ~spl344_40 | spl344_432, inference(sat_conversion,[],[f3675])).
% 0.76/0.41 cnf(s406, plain, spl344_37 | ~spl344_250, inference(sat_conversion,[],[f3725])).
% 0.76/0.41 cnf(s425, plain, spl344_250, inference(sat_conversion,[],[f3796])).
% 0.76/0.41 cnf(s447, plain, spl344_184, inference(sat_conversion,[],[f3885])).
% 0.76/0.41 cnf(s473, plain, spl344_493, inference(sat_conversion,[],[f3976])).
% 0.76/0.41 cnf(s568, plain, ~spl344_184 | spl344_230, inference(sat_conversion,[],[f4307])).
% 0.76/0.41 cnf(s593, plain, ~spl344_40 | spl344_580, inference(sat_conversion,[],[f4407])).
% 0.76/0.41 cnf(s624, plain, ~spl344_37 | ~spl344_230 | spl344_371 | ~spl344_432 | ~spl344_493 | ~spl344_580, inference(sat_conversion,[],[f5536])).
% 0.76/0.41 cnf(s638, plain, spl344_230, inference(rat,[],[s568,s447])).
% 0.76/0.41 cnf(s643, plain, spl344_37, inference(rat,[],[s406,s425])).
% 0.76/0.41 cnf(s763, plain, spl344_580, inference(rat,[],[s593,s26])).
% 0.76/0.41 cnf(s764, plain, spl344_432, inference(rat,[],[s390,s26])).
% 0.76/0.41 cnf(s765, plain, $false, inference(rat,[],[s624,s319,s473,s643,s638,s763,s764])).
% 0.76/0.41 thf(f5537,plain,(
% 0.76/0.41 $false),
% 0.76/0.41 inference(avatar_sat_refutation,[],[s765])).
% 0.76/0.41 % SZS output end Proof for theBenchmark
% 0.76/0.41 % (755240)------------------------------
% 0.76/0.41 % (755240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (755240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (755240)CaDiCaL version: 2.1.3
% 0.76/0.41 % (755240)Termination reason: Refutation
% 0.76/0.41 % (755240)Time elapsed: 0.118 s
% 0.76/0.41 % (755240)Peak memory usage: 16 MB
% 0.76/0.41 % (755240)Instructions burned: 222 (million)
% 0.76/0.41 % (755232)Success in time 0.172 s
% 0.76/0.41 % Vampire exiting
%------------------------------------------------------------------------------