%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP201^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:48 AM UTC 2026
% Result : Theorem 0.64s 0.42s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP201^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:13:26 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.42 % (585760)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.64/0.42 % (585766)lrs+10_16_si=on:nwc=1.5:random_seed=894436415:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.64/0.42 % (585766)Instruction limit reached!
% 0.64/0.42 % (585766)------------------------------
% 0.64/0.42 % (585766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585766)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585766)Termination reason: Instruction limit
% 0.64/0.42 % (585766)Termination phase: Property scanning
% 0.64/0.42 % (585766)Time elapsed: 0.005 s
% 0.64/0.42 % (585766)Peak memory usage: 10 MB
% 0.64/0.42 % (585766)Instructions burned: 19 (million)
% 0.64/0.42 % (585765)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2957053933:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.64/0.42 % (585769)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1949136500:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.64/0.42 % (585767)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3175708764:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.64/0.42 % (585770)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3690252866:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.64/0.42 % (585767)Instruction limit reached!
% 0.64/0.42 % (585767)------------------------------
% 0.64/0.42 % (585767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585767)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585767)Termination reason: Instruction limit
% 0.64/0.42 % (585767)Termination phase: shuffling
% 0.64/0.42 % (585767)Time elapsed: 0.003 s
% 0.64/0.42 % (585767)Peak memory usage: 10 MB
% 0.64/0.42 % (585767)Instructions burned: 4 (million)
% 0.64/0.42 % (585771)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.64/0.42 % (585771)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
% 0.64/0.42 % (585773)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4200083562:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.64/0.42 % (585768)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=1758315872: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)
% 0.64/0.42 % (585769)Instruction limit reached!
% 0.64/0.42 % (585769)------------------------------
% 0.64/0.42 % (585769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585769)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585769)Termination reason: Instruction limit
% 0.64/0.42 % (585769)Termination phase: Property scanning
% 0.64/0.42 % (585769)Time elapsed: 0.013 s
% 0.64/0.42 % (585769)Peak memory usage: 10 MB
% 0.64/0.42 % (585769)Instructions burned: 26 (million)
% 0.64/0.42 % (585773)Instruction limit reached!
% 0.64/0.42 % (585773)------------------------------
% 0.64/0.42 % (585773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585773)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585773)Termination reason: Instruction limit
% 0.64/0.42 % (585773)Termination phase: shuffling
% 0.64/0.42 % (585773)Time elapsed: 0.004 s
% 0.64/0.42 % (585773)Peak memory usage: 10 MB
% 0.64/0.42 % (585773)Instructions burned: 14 (million)
% 0.64/0.42 % (585771)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=3870193906:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.64/0.42 % (585781)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.42 % (585781)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3298767550:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.64/0.42 % (585782)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4030941855:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.64/0.42 % (585781)Instruction limit reached!
% 0.64/0.42 % (585781)------------------------------
% 0.64/0.42 % (585781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585781)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585781)Termination reason: Instruction limit
% 0.64/0.42 % (585781)Termination phase: shuffling
% 0.64/0.42 % (585781)Time elapsed: 0.004 s
% 0.64/0.42 % (585781)Peak memory usage: 10 MB
% 0.64/0.42 % (585781)Instructions burned: 8 (million)
% 0.64/0.42 % (585765)Instruction limit reached!
% 0.64/0.42 % (585765)------------------------------
% 0.64/0.42 % (585765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585765)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585765)Termination reason: Instruction limit
% 0.64/0.42 % (585765)Termination phase: Property scanning
% 0.64/0.42 % (585765)Time elapsed: 0.043 s
% 0.64/0.42 % (585765)Peak memory usage: 12 MB
% 0.64/0.42 % (585765)Instructions burned: 89 (million)
% 0.64/0.42 % (585778)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1458700341:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.64/0.42 % (585782)Instruction limit reached!
% 0.64/0.42 % (585782)------------------------------
% 0.64/0.42 % (585782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585782)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585782)Termination reason: Instruction limit
% 0.64/0.42 % (585782)Termination phase: shuffling
% 0.64/0.42 % (585782)Time elapsed: 0.008 s
% 0.64/0.42 % (585782)Peak memory usage: 10 MB
% 0.64/0.42 % (585782)Instructions burned: 13 (million)
% 0.64/0.42 % (585770)Instruction limit reached!
% 0.64/0.42 % (585770)------------------------------
% 0.64/0.42 % (585770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585770)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585770)Termination reason: Instruction limit
% 0.64/0.42 % (585770)Termination phase: Function definition elimination
% 0.64/0.42 % (585770)Time elapsed: 0.041 s
% 0.64/0.42 % (585770)Peak memory usage: 12 MB
% 0.64/0.42 % (585770)Instructions burned: 75 (million)
% 0.64/0.42 % (585778)Instruction limit reached!
% 0.64/0.42 % (585778)------------------------------
% 0.64/0.42 % (585778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585778)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585778)Termination reason: Instruction limit
% 0.64/0.42 % (585778)Termination phase: shuffling
% 0.64/0.42 % (585778)Time elapsed: 0.007 s
% 0.64/0.42 % (585778)Peak memory usage: 10 MB
% 0.64/0.42 % (585778)Instructions burned: 5 (million)
% 0.64/0.42 % (585786)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
% 0.64/0.42 % (585786)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.42 % (585789)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.64/0.42 % (585789)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=3236211575:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.64/0.42 % (585786)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=209503862:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.64/0.42 % (585789)Instruction limit reached!
% 0.64/0.42 % (585789)------------------------------
% 0.64/0.42 % (585789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585789)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585789)Termination reason: Instruction limit
% 0.64/0.42 % (585789)Termination phase: shuffling
% 0.64/0.42 % (585789)Time elapsed: 0.001 s
% 0.64/0.42 % (585789)Peak memory usage: 10 MB
% 0.64/0.42 % (585789)Instructions burned: 5 (million)
% 0.64/0.42 % (585787)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=3740645654:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.64/0.42 % (585788)lrs+10_1_si=on:cs=on:random_seed=4278699210:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.64/0.42 % (585788)Instruction limit reached!
% 0.64/0.42 % (585788)------------------------------
% 0.64/0.42 % (585788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585788)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585788)Termination reason: Instruction limit
% 0.64/0.42 % (585788)Termination phase: shuffling
% 0.64/0.42 % (585788)Time elapsed: 0.005 s
% 0.64/0.42 % (585788)Peak memory usage: 10 MB
% 0.64/0.42 % (585788)Instructions burned: 8 (million)
% 0.64/0.42 % (585794)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4223692541:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.64/0.42 % (585791)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3085812849:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.64/0.42 % (585786)Instruction limit reached!
% 0.64/0.42 % (585786)------------------------------
% 0.64/0.42 % (585786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585786)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585786)Termination reason: Instruction limit
% 0.64/0.42 % (585786)Termination phase: shuffling
% 0.64/0.42 % (585786)Time elapsed: 0.014 s
% 0.64/0.42 % (585786)Peak memory usage: 10 MB
% 0.64/0.42 % (585786)Instructions burned: 29 (million)
% 0.64/0.42 % (585799)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3609601390:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.64/0.42 % (585794) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-585760-585794"...
% 0.64/0.42 % (585799)Instruction limit reached!
% 0.64/0.42 % (585799)------------------------------
% 0.64/0.42 % (585799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585799)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585799)Termination reason: Instruction limit
% 0.64/0.42 % (585799)Termination phase: shuffling
% 0.64/0.42 % (585799)Time elapsed: 0.008 s
% 0.64/0.42 % (585799)Peak memory usage: 10 MB
% 0.64/0.42 % (585799)Instructions burned: 16 (million)
% 0.64/0.42 % (585794)...printing done.
% 0.64/0.42 % (585787)Instruction limit reached!
% 0.64/0.42 % (585787)------------------------------
% 0.64/0.42 % (585787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585787)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585787)Termination reason: Instruction limit
% 0.64/0.42 % (585787)Termination phase: Property scanning
% 0.64/0.42 % (585787)Time elapsed: 0.039 s
% 0.64/0.42 % (585787)Peak memory usage: 11 MB
% 0.64/0.42 % (585787)Instructions burned: 87 (million)
% 0.64/0.42 % (585794)Refutation found. Thanks to Tanya!
% 0.64/0.42 % SZS status Theorem for theBenchmark
% 0.64/0.42 % SZS output start Proof for theBenchmark
% 0.64/0.42 thf(type_def_5, type, denotational_interp: $tType).
% 0.64/0.42 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.64/0.42 thf(type_def_7, type, variable: $tType).
% 0.64/0.42 thf(type_def_8, type, option: $tType > $tType).
% 0.64/0.42 thf(type_def_9, type, game: $tType).
% 0.64/0.42 thf(type_def_10, type, char: $tType).
% 0.64/0.42 thf(type_def_11, type, trm: $tType).
% 0.64/0.42 thf(type_def_12, type, fml: $tType).
% 0.64/0.42 thf(type_def_13, type, real: $tType).
% 0.64/0.42 thf(type_def_14, type, set: $tType > $tType).
% 0.64/0.42 thf(type_def_15, type, sTfun: ($tType * $tType) > $tType).
% 0.64/0.42 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_1, type, uminus: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_8, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_9, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_10, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.64/0.42 thf(func_def_11, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 0.64/0.42 thf(func_def_12, type, denota1419872369iation: ((variable > real) > (variable > real) > set @ variable > $o)).
% 0.64/0.42 thf(func_def_13, type, denota1245701238me_sem: (denotational_interp > game > set @ (variable > real) > set @ (variable > real))).
% 0.64/0.42 thf(func_def_14, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.64/0.42 thf(func_def_15, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.64/0.42 thf(func_def_16, type, none: !>[X0: $tType]:(option @ X0)).
% 0.64/0.42 thf(func_def_17, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 0.64/0.42 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.64/0.42 thf(func_def_19, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.64/0.42 thf(func_def_20, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.64/0.42 thf(func_def_21, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.64/0.42 thf(func_def_22, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.64/0.42 thf(func_def_23, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.64/0.42 thf(func_def_24, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.64/0.42 thf(func_def_25, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 0.64/0.42 thf(func_def_26, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.64/0.42 thf(func_def_27, type, skip: game).
% 0.64/0.42 thf(func_def_28, type, choice: (game > game > game)).
% 0.64/0.42 thf(func_def_29, type, dual: (game > game)).
% 0.64/0.42 thf(func_def_30, type, loop: (game > game)).
% 0.64/0.42 thf(func_def_31, type, uSubst1976112797hoiceo: (option @ game > option @ game > option @ game)).
% 0.64/0.42 thf(func_def_32, type, uSubst739989314_Dualo: (option @ game > option @ game)).
% 0.64/0.42 thf(func_def_33, type, uSubst993936602_Loopo: (option @ game > option @ game)).
% 0.64/0.42 thf(func_def_34, type, uSubst2091380086djoint: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > denotational_interp > (variable > real) > denotational_interp)).
% 0.64/0.42 thf(func_def_35, type, uSubst95898988stappp: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > game > product_prod @ set @ variable @ option @ game)).
% 0.64/0.42 thf(func_def_36, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.64/0.42 thf(func_def_37, type, i: denotational_interp).
% 0.64/0.42 thf(func_def_38, type, u: set @ variable).
% 0.64/0.42 thf(func_def_39, type, ua: set @ variable).
% 0.64/0.42 thf(func_def_40, type, xa: set @ (variable > real)).
% 0.64/0.42 thf(func_def_41, type, alpha: game).
% 0.64/0.42 thf(func_def_42, type, nu: (variable > real)).
% 0.64/0.42 thf(func_def_43, type, nu2: (variable > real)).
% 0.64/0.42 thf(func_def_44, type, omega: (variable > real)).
% 0.64/0.42 thf(func_def_45, type, omega2: (variable > real)).
% 0.64/0.42 thf(func_def_46, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 0.64/0.42 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.64/0.42 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.64/0.42 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.64/0.42 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.64/0.42 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.64/0.42 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 0.64/0.42 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.64/0.42 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.64/0.42 thf(func_def_58, type, vOR: ($o > $o > $o)).
% 0.64/0.42 thf(func_def_59, type, db3: !>[X0: $tType]:(X0)).
% 0.64/0.42 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.64/0.42 thf(func_def_61, type, vNOT: ($o > $o)).
% 0.64/0.42 thf(func_def_62, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X1))).
% 0.64/0.42 thf(func_def_63, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X0))).
% 0.64/0.42 thf(func_def_64, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X4))).
% 0.64/0.42 thf(func_def_65, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X3))).
% 0.64/0.42 thf(func_def_66, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X2))).
% 0.64/0.42 thf(func_def_67, type, sK5: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.64/0.42 thf(func_def_68, type, sK6: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.64/0.42 thf(func_def_69, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X0))).
% 0.64/0.42 thf(func_def_70, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X2))).
% 0.64/0.42 thf(func_def_71, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X3))).
% 0.64/0.42 thf(func_def_72, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X6))).
% 0.64/0.42 thf(func_def_73, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X5))).
% 0.64/0.42 thf(func_def_74, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X1))).
% 0.64/0.42 thf(func_def_75, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X4))).
% 0.64/0.42 thf(func_def_76, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X2))).
% 0.64/0.42 thf(func_def_77, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X4))).
% 0.64/0.42 thf(func_def_78, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X5))).
% 0.64/0.42 thf(func_def_79, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X0))).
% 0.64/0.42 thf(func_def_80, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X6))).
% 0.64/0.42 thf(func_def_81, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X1))).
% 0.64/0.42 thf(func_def_82, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X3))).
% 0.64/0.42 thf(func_def_83, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.64/0.42 thf(func_def_84, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.64/0.42 thf(func_def_85, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.64/0.42 thf(func_def_86, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X2))).
% 0.64/0.42 thf(func_def_87, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X0))).
% 0.64/0.42 thf(func_def_88, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X3))).
% 0.64/0.42 thf(func_def_89, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X1))).
% 0.64/0.42 thf(func_def_90, type, sK28: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.64/0.42 thf(func_def_91, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X3))).
% 0.64/0.42 thf(func_def_92, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X1))).
% 0.64/0.42 thf(func_def_93, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X0))).
% 0.64/0.42 thf(func_def_94, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X2))).
% 0.64/0.42 thf(func_def_95, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X4))).
% 0.64/0.42 thf(func_def_96, type, sK34: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.64/0.42 thf(func_def_97, type, sK35: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.64/0.42 thf(func_def_98, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.64/0.42 thf(func_def_99, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.64/0.42 thf(func_def_100, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.64/0.42 thf(func_def_101, type, sK39: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.64/0.42 thf(func_def_102, type, sK40: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.64/0.42 thf(func_def_103, type, sK41: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 0.64/0.42 thf(func_def_104, type, sK42: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 0.64/0.42 thf(func_def_105, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 0.64/0.42 thf(func_def_106, type, sK44: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 0.64/0.42 thf(func_def_107, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.64/0.42 thf(func_def_108, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X5))).
% 0.64/0.42 thf(func_def_109, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X4))).
% 0.64/0.42 thf(func_def_110, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X1))).
% 0.64/0.42 thf(func_def_111, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X2))).
% 0.64/0.42 thf(func_def_112, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X0))).
% 0.64/0.42 thf(func_def_113, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X5 > X3))).
% 0.64/0.42 thf(func_def_114, type, sK52: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.64/0.42 thf(func_def_115, type, sK53: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.64/0.42 thf(func_def_116, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.64/0.42 thf(func_def_117, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.64/0.42 thf(func_def_118, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.64/0.42 thf(func_def_119, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X3))).
% 0.64/0.42 thf(func_def_120, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X0))).
% 0.64/0.42 thf(func_def_121, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X2))).
% 0.64/0.42 thf(func_def_122, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X4))).
% 0.64/0.42 thf(func_def_123, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X1))).
% 0.64/0.42 thf(func_def_124, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X5 > $o) > X5))).
% 0.64/0.42 thf(func_def_125, type, sK63: (set @ variable > denotational_interp > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > game > variable > real)).
% 0.64/0.42 thf(func_def_126, type, sK64: (set @ variable > denotational_interp > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > game > set @ (variable > real))).
% 0.64/0.42 thf(func_def_127, type, sK65: (set @ variable > denotational_interp > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > game > variable > real)).
% 0.64/0.42 thf(func_def_128, type, sK66: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.64/0.42 thf(func_def_129, type, sK67: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.64/0.42 thf(func_def_130, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X3))).
% 0.64/0.42 thf(func_def_131, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X0))).
% 0.64/0.42 thf(func_def_132, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X1))).
% 0.64/0.42 thf(func_def_133, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X2))).
% 0.64/0.42 thf(f1,axiom,(
% 0.64/0.42 ! [X5 : set @ (variable > real)] : (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ X5))) = ((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ X5))))),
% 0.64/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__nnnzepxswx_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062)).
% 0.64/0.42 thf(f6,axiom,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : (~(member @ X0 @ X1 @ X2) => (member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2)))),
% 0.64/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_ComplI)).
% 0.64/0.42 thf(f22,axiom,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : ((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2)) => ~(member @ X0 @ X1 @ X2))),
% 0.64/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_ComplD)).
% 0.64/0.42 thf(f289,conjecture,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = ((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))))),
% 0.64/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.64/0.42 thf(f290,negated_conjecture,(
% 0.64/0.42 ~ (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = ((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))))),
% 0.64/0.42 inference(negated_conjecture,[status(cth)],[f289])).
% 0.64/0.42 thf(f299,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : (~(member @ X0 @ X1 @ X2) => (member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2)))),
% 0.64/0.42 inference(rectify,[],[f6])).
% 0.64/0.42 thf(f300,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : (~ (((member @ X0 @ X1 @ X2)) = $true) => (((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true))),
% 0.64/0.42 inference(fool_elimination,[],[f299])).
% 0.64/0.42 thf(f416,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : ((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2)) => ~(member @ X0 @ X1 @ X2))),
% 0.64/0.42 inference(rectify,[],[f22])).
% 0.64/0.42 thf(f417,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : ((((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true) => ~ (((member @ X0 @ X1 @ X2)) = $true))),
% 0.64/0.42 inference(fool_elimination,[],[f416])).
% 0.64/0.42 thf(f752,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) != ((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))))),
% 0.64/0.42 inference(flattening,[],[f290])).
% 0.64/0.42 thf(f755,plain,(
% 0.64/0.42 ! [X0 : set @ (variable > real)] : (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ X0))) = ((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ X0))))),
% 0.64/0.42 inference(rectify,[],[f1])).
% 0.64/0.42 thf(f765,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : ((((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true) => (((member @ X0 @ X1 @ X2)) != $true))),
% 0.64/0.42 inference(flattening,[],[f417])).
% 0.64/0.42 thf(f766,plain,(
% 0.64/0.42 ! [X0 : $tType,X2 : set @ X0,X1 : X0] : ((((member @ X0 @ X1 @ X2)) != $true) => (((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true))),
% 0.64/0.42 inference(flattening,[],[f300])).
% 0.64/0.42 thf(f801,plain,(
% 0.64/0.42 ! [X0 : $tType,X2 : set @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) != $true) | (((member @ X0 @ X1 @ X2)) != $true))),
% 0.64/0.42 inference(ennf_transformation,[],[f765])).
% 0.64/0.42 thf(f853,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : ((((member @ X0 @ X1 @ X2)) = $true) | (((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true))),
% 0.64/0.42 inference(ennf_transformation,[],[f766])).
% 0.64/0.42 thf(f929,plain,(
% 0.64/0.42 ! [X0 : $tType,X1 : set @ X0,X2 : X0] : (($true != ((member @ X0 @ X2 @ (uminus_uminus @ set @ X0 @ X1)))) | (((member @ X0 @ X2 @ X1)) != $true))),
% 0.64/0.42 inference(rectify,[],[f801])).
% 0.64/0.42 thf(f991,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) != ((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))))),
% 0.64/0.42 inference(cnf_transformation,[],[f752])).
% 0.64/0.42 thf(f1004,plain,(
% 0.64/0.42 ( ! [X0 : set @ (variable > real)] : ((((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ X0))) = ((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ X0))))) )),
% 0.64/0.42 inference(cnf_transformation,[],[f755])).
% 0.64/0.42 thf(f1026,plain,(
% 0.64/0.42 ( ! [X0 : $tType,X2 : X0,X1 : set @ X0] : (($true != ((member @ X0 @ X2 @ (uminus_uminus @ set @ X0 @ X1)))) | (((member @ X0 @ X2 @ X1)) != $true)) )),
% 0.64/0.42 inference(cnf_transformation,[],[f929])).
% 0.64/0.42 thf(f1030,plain,(
% 0.64/0.42 ( ! [X0 : $tType,X2 : set @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (uminus_uminus @ set @ X0 @ X2))) = $true) | (((member @ X0 @ X1 @ X2)) = $true)) )),
% 0.64/0.42 inference(cnf_transformation,[],[f853])).
% 0.64/0.42 thf(f1061,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true) | (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true)),
% 0.64/0.42 inference(xor_proxy_clausification,[],[f991])).
% 0.64/0.42 thf(f1062,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false) | (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false)),
% 0.64/0.42 inference(xor_proxy_clausification,[],[f991])).
% 0.64/0.42 thf(f1064,definition,(
% 0.64/0.42 spl72_1 <=> (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false)),
% 0.64/0.42 introduced(definition,[new_symbols(definition,[spl72_1])],[avatar_definition])).
% 0.64/0.42 thf(f1066,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false) | ~spl72_1),
% 0.64/0.42 inference(avatar_component_clause,[],[f1064])).
% 0.64/0.42 thf(f1068,definition,(
% 0.64/0.42 spl72_2 <=> (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false)),
% 0.64/0.42 introduced(definition,[new_symbols(definition,[spl72_2])],[avatar_definition])).
% 0.64/0.42 thf(f1070,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $false) | ~spl72_2),
% 0.64/0.42 inference(avatar_component_clause,[],[f1068])).
% 0.64/0.42 thf(f1071,plain,(
% 0.64/0.42 spl72_1 | spl72_2),
% 0.64/0.42 inference(avatar_split_clause,[],[f1062,f1068,f1064])).
% 0.64/0.42 thf(f1073,definition,(
% 0.64/0.42 spl72_3 <=> (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true)),
% 0.64/0.42 introduced(definition,[new_symbols(definition,[spl72_3])],[avatar_definition])).
% 0.64/0.42 thf(f1075,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true) | ~spl72_3),
% 0.64/0.42 inference(avatar_component_clause,[],[f1073])).
% 0.64/0.42 thf(f1077,definition,(
% 0.64/0.42 spl72_4 <=> (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true)),
% 0.64/0.42 introduced(definition,[new_symbols(definition,[spl72_4])],[avatar_definition])).
% 0.64/0.42 thf(f1079,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (uminus_uminus @ set @ (variable > real) @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa))))) = $true) | ~spl72_4),
% 0.64/0.42 inference(avatar_component_clause,[],[f1077])).
% 0.64/0.42 thf(f1080,plain,(
% 0.64/0.42 spl72_3 | spl72_4),
% 0.64/0.42 inference(avatar_split_clause,[],[f1061,f1077,f1073])).
% 0.64/0.42 thf(f1085,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ($true = $false) | ~spl72_2),
% 0.64/0.42 inference(superposition,[],[f1070,f1030])).
% 0.64/0.42 thf(f1089,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ~spl72_2),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1085])).
% 0.64/0.42 thf(f1108,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ($true = $false) | ~spl72_1),
% 0.64/0.42 inference(superposition,[],[f1030,f1066])).
% 0.64/0.42 thf(f1110,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ~spl72_1),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1108])).
% 0.64/0.42 thf(f1113,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ~spl72_1),
% 0.64/0.42 inference(forward_demodulation,[],[f1110,f1004])).
% 0.64/0.42 thf(f1132,plain,(
% 0.64/0.42 ($true != $true) | (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) != $true) | ~spl72_3),
% 0.64/0.42 inference(superposition,[],[f1026,f1075])).
% 0.64/0.42 thf(f1133,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) != $true) | ~spl72_3),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1132])).
% 0.64/0.42 thf(f1134,plain,(
% 0.64/0.42 $false | (~spl72_1 | ~spl72_3)),
% 0.64/0.42 inference(forward_subsumption_resolution,[],[f1133,f1113])).
% 0.64/0.42 thf(f1135,plain,(
% 0.64/0.42 ~spl72_1 | ~spl72_3),
% 0.64/0.42 inference(avatar_contradiction_clause,[],[f1134])).
% 0.64/0.42 thf(f1137,plain,(
% 0.64/0.42 ($true = $false) | (~spl72_1 | ~spl72_4)),
% 0.64/0.42 inference(forward_demodulation,[],[f1079,f1066])).
% 0.64/0.42 thf(f1138,plain,(
% 0.64/0.42 $false | (~spl72_1 | ~spl72_4)),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1137])).
% 0.64/0.42 thf(f1139,plain,(
% 0.64/0.42 ~spl72_1 | ~spl72_4),
% 0.64/0.42 inference(avatar_contradiction_clause,[],[f1138])).
% 0.64/0.42 thf(f1142,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) = $true) | ~spl72_2),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1085])).
% 0.64/0.42 thf(f1188,plain,(
% 0.64/0.42 ($true != $true) | (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa)))) != $true) | ~spl72_4),
% 0.64/0.42 inference(superposition,[],[f1026,f1079])).
% 0.64/0.42 thf(f1189,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ (uSubst2091380086djoint @ sigma @ i @ omega2) @ alpha @ (uminus_uminus @ set @ (variable > real) @ xa)))) != $true) | ~spl72_4),
% 0.64/0.42 inference(trivial_inequality_removal,[],[f1188])).
% 0.64/0.42 thf(f1190,plain,(
% 0.64/0.42 (((member @ (variable > real) @ nu2 @ (denota1245701238me_sem @ i @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))) @ (uminus_uminus @ set @ (variable > real) @ xa)))) != $true) | ~spl72_4),
% 0.64/0.42 inference(forward_demodulation,[],[f1189,f1004])).
% 0.64/0.42 thf(f1198,plain,(
% 0.64/0.42 $false | (~spl72_2 | ~spl72_4)),
% 0.64/0.42 inference(forward_subsumption_resolution,[],[f1142,f1190])).
% 0.64/0.42 thf(f1199,plain,(
% 0.64/0.42 ~spl72_2 | ~spl72_4),
% 0.64/0.42 inference(avatar_contradiction_clause,[],[f1198])).
% 0.64/0.42 thf(f1206,plain,(
% 0.64/0.42 $false | (~spl72_2 | ~spl72_3)),
% 0.64/0.42 inference(forward_subsumption_resolution,[],[f1133,f1089])).
% 0.64/0.42 thf(f1207,plain,(
% 0.64/0.42 ~spl72_2 | ~spl72_3),
% 0.64/0.42 inference(avatar_contradiction_clause,[],[f1206])).
% 0.64/0.42 cnf(s1, plain, spl72_1 | spl72_2, inference(sat_conversion,[],[f1071])).
% 0.64/0.42 cnf(s2, plain, spl72_3 | spl72_4, inference(sat_conversion,[],[f1080])).
% 0.64/0.42 cnf(s9, plain, ~spl72_1 | ~spl72_3, inference(sat_conversion,[],[f1135])).
% 0.64/0.42 cnf(s10, plain, ~spl72_1 | ~spl72_4, inference(sat_conversion,[],[f1139])).
% 0.64/0.42 cnf(s14, plain, ~spl72_2 | ~spl72_4, inference(sat_conversion,[],[f1199])).
% 0.64/0.42 cnf(s17, plain, ~spl72_2 | ~spl72_3, inference(sat_conversion,[],[f1207])).
% 0.64/0.42 cnf(s18, plain, ~spl72_2, inference(rat,[],[s2,s14,s17])).
% 0.64/0.42 cnf(s19, plain, spl72_1, inference(rat,[],[s1,s18])).
% 0.64/0.42 cnf(s20, plain, ~spl72_4, inference(rat,[],[s10,s19])).
% 0.64/0.42 cnf(s21, plain, ~spl72_3, inference(rat,[],[s9,s19])).
% 0.64/0.42 cnf(s22, plain, $false, inference(rat,[],[s2,s20,s21])).
% 0.64/0.42 thf(f1208,plain,(
% 0.64/0.42 $false),
% 0.64/0.42 inference(avatar_sat_refutation,[],[s22])).
% 0.64/0.42 % SZS output end Proof for theBenchmark
% 0.64/0.42 % (585794)------------------------------
% 0.64/0.42 % (585794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.42 % (585794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.42 % (585794)CaDiCaL version: 2.1.3
% 0.64/0.42 % (585794)Termination reason: Refutation
% 0.64/0.42 % (585794)Time elapsed: 0.029 s
% 0.64/0.42 % (585794)Peak memory usage: 14 MB
% 0.64/0.42 % (585794)Instructions burned: 103 (million)
% 0.64/0.42 % (585760)Success in time 0.157 s
% 0.64/0.42 % Vampire exiting
%------------------------------------------------------------------------------