%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP198^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:08:47 AM UTC 2026
% Result : Theorem 0.61s 0.41s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP198^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.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 20:12:29 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.41 % (2995972)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.41 % (2995983)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.41 % (2995983)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
% 0.61/0.41 % (2995978)lrs+10_16_si=on:nwc=1.5:random_seed=1964315157:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.41 % (2995977)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=551416718:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.41 % (2995979)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=448369076:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.41 % (2995983)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=3524967489:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.41 % (2995981)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3553861733:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.41 % (2995980)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=965081175: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)
% 0.61/0.41 % (2995982)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3416405518:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.41 % (2995979)Instruction limit reached!
% 0.61/0.41 % (2995979)------------------------------
% 0.61/0.41 % (2995979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995979)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995979)Termination reason: Instruction limit
% 0.61/0.41 % (2995979)Termination phase: shuffling
% 0.61/0.41 % (2995979)Time elapsed: 0.002 s
% 0.61/0.41 % (2995979)Peak memory usage: 10 MB
% 0.61/0.41 % (2995979)Instructions burned: 3 (million)
% 0.61/0.41 % (2995978)Instruction limit reached!
% 0.61/0.41 % (2995978)------------------------------
% 0.61/0.41 % (2995978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995978)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995978)Termination reason: Instruction limit
% 0.61/0.41 % (2995978)Termination phase: Property scanning
% 0.61/0.41 % (2995978)Time elapsed: 0.013 s
% 0.61/0.41 % (2995978)Peak memory usage: 11 MB
% 0.61/0.41 % (2995978)Instructions burned: 29 (million)
% 0.61/0.41 % (2995981)Instruction limit reached!
% 0.61/0.41 % (2995981)------------------------------
% 0.61/0.41 % (2995981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995981)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995981)Termination reason: Instruction limit
% 0.61/0.41 % (2995981)Termination phase: Property scanning
% 0.61/0.41 % (2995981)Time elapsed: 0.013 s
% 0.61/0.41 % (2995981)Peak memory usage: 10 MB
% 0.61/0.41 % (2995981)Instructions burned: 25 (million)
% 0.61/0.41 % (2995991)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2525166749:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.41 % (2995991)Instruction limit reached!
% 0.61/0.41 % (2995991)------------------------------
% 0.61/0.41 % (2995991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995991)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995991)Termination reason: Instruction limit
% 0.61/0.41 % (2995991)Termination phase: shuffling
% 0.61/0.41 % (2995991)Time elapsed: 0.002 s
% 0.61/0.41 % (2995991)Peak memory usage: 10 MB
% 0.61/0.41 % (2995991)Instructions burned: 3 (million)
% 0.61/0.41 % (2995992)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1146428322:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.41 % (2995992)Instruction limit reached!
% 0.61/0.41 % (2995992)------------------------------
% 0.61/0.41 % (2995992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995992)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995992)Termination reason: Instruction limit
% 0.61/0.41 % (2995992)Termination phase: shuffling
% 0.61/0.41 % (2995992)Time elapsed: 0.002 s
% 0.61/0.41 % (2995992)Peak memory usage: 10 MB
% 0.61/0.41 % (2995992)Instructions burned: 6 (million)
% 0.61/0.41 % (2995993)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.41 % (2995993)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4089170229:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.41 % (2995993)Instruction limit reached!
% 0.61/0.41 % (2995993)------------------------------
% 0.61/0.41 % (2995993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995993)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995993)Termination reason: Instruction limit
% 0.61/0.41 % (2995993)Termination phase: shuffling
% 0.61/0.41 % (2995993)Time elapsed: 0.004 s
% 0.61/0.41 % (2995993)Peak memory usage: 10 MB
% 0.61/0.41 % (2995997)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
% 0.61/0.41 % (2995993)Instructions burned: 8 (million)
% 0.61/0.41 % (2995997)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.41 % (2995982)Instruction limit reached!
% 0.61/0.41 % (2995982)------------------------------
% 0.61/0.41 % (2995982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995982)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995982)Termination reason: Instruction limit
% 0.61/0.41 % (2995982)Termination phase: Property scanning
% 0.61/0.41 % (2995982)Time elapsed: 0.038 s
% 0.61/0.41 % (2995982)Peak memory usage: 12 MB
% 0.61/0.41 % (2995982)Instructions burned: 75 (million)
% 0.61/0.41 % (2995997)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3941457182:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.41 % (2995977)Instruction limit reached!
% 0.61/0.41 % (2995977)------------------------------
% 0.61/0.41 % (2995977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995977)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995977)Termination reason: Instruction limit
% 0.61/0.41 % (2995977)Termination phase: Function definition elimination
% 0.61/0.41 % (2995977)Time elapsed: 0.044 s
% 0.61/0.41 % (2995977)Peak memory usage: 12 MB
% 0.61/0.41 % (2995977)Instructions burned: 88 (million)
% 0.61/0.41 % (2995996)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=566269970:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.41 % (2995997)Instruction limit reached!
% 0.61/0.41 % (2995997)------------------------------
% 0.61/0.41 % (2995997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995997)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995997)Termination reason: Instruction limit
% 0.61/0.41 % (2995997)Termination phase: shuffling
% 0.61/0.41 % (2995997)Time elapsed: 0.008 s
% 0.61/0.41 % (2995997)Peak memory usage: 10 MB
% 0.61/0.41 % (2995997)Instructions burned: 31 (million)
% 0.61/0.41 % (2995996)Instruction limit reached!
% 0.61/0.41 % (2995996)------------------------------
% 0.61/0.41 % (2995996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995996)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995996)Termination reason: Instruction limit
% 0.61/0.41 % (2995996)Termination phase: shuffling
% 0.61/0.41 % (2995996)Time elapsed: 0.007 s
% 0.61/0.41 % (2995996)Peak memory usage: 10 MB
% 0.61/0.41 % (2995996)Instructions burned: 14 (million)
% 0.61/0.41 % (2995999)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=3967439420:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.41 % (2996001)lrs+10_1_si=on:cs=on:random_seed=3356781772:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.41 % (2996004)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=974532606:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.61/0.41 % (2996003)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.41 % (2996001)Instruction limit reached!
% 0.61/0.41 % (2996001)------------------------------
% 0.61/0.41 % (2996001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2996001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2996001)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2996001)Termination reason: Instruction limit
% 0.61/0.41 % (2996001)Termination phase: shuffling
% 0.61/0.41 % (2996001)Time elapsed: 0.005 s
% 0.61/0.41 % (2996001)Peak memory usage: 10 MB
% 0.61/0.41 % (2996001)Instructions burned: 9 (million)
% 0.61/0.41 % (2996003)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=2708539559:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.41 % (2996003)Instruction limit reached!
% 0.61/0.41 % (2996003)------------------------------
% 0.61/0.41 % (2996003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2996003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2996003)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2996003)Termination reason: Instruction limit
% 0.61/0.41 % (2996003)Termination phase: shuffling
% 0.61/0.41 % (2996003)Time elapsed: 0.002 s
% 0.61/0.41 % (2996003)Peak memory usage: 10 MB
% 0.61/0.41 % (2996003)Instructions burned: 3 (million)
% 0.61/0.41 % (2996004)Instruction limit reached!
% 0.61/0.41 % (2996004)------------------------------
% 0.61/0.41 % (2996004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2996004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2996004)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2996004)Termination reason: Instruction limit
% 0.61/0.41 % (2996004)Termination phase: Preprocessing 1
% 0.61/0.41 % (2996004)Time elapsed: 0.010 s
% 0.61/0.41 % (2996004)Peak memory usage: 11 MB
% 0.61/0.41 % (2996004)Instructions burned: 40 (million)
% 0.61/0.41 % (2996005)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4203918471:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.61/0.41 % (2995983)Instruction limit reached!
% 0.61/0.41 % (2995983)------------------------------
% 0.61/0.41 % (2995983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2995983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2995983)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2995983)Termination reason: Instruction limit
% 0.61/0.41 % (2995983)Termination phase: Saturation
% 0.61/0.41 % (2995983)Time elapsed: 0.076 s
% 0.61/0.41 % (2995983)Peak memory usage: 14 MB
% 0.61/0.41 % (2995983)Instructions burned: 158 (million)
% 0.61/0.41 % (2996012)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4230255861:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.61/0.41 % (2996010)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=590162603:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.61/0.41 % (2996011)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1610218665:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.41 % (2995980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2995972-2995980"...
% 0.61/0.41 % (2995980)...printing done.
% 0.61/0.41 % (2995980)Refutation found. Thanks to Tanya!
% 0.61/0.41 % SZS status Theorem for theBenchmark
% 0.61/0.41 % SZS output start Proof for theBenchmark
% 0.61/0.41 thf(type_def_5, type, denotational_interp: $tType).
% 0.61/0.41 thf(type_def_6, type, product_unit: $tType).
% 0.61/0.41 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.61/0.41 thf(type_def_8, type, variable: $tType).
% 0.61/0.41 thf(type_def_9, type, char: $tType).
% 0.61/0.41 thf(type_def_10, type, real: $tType).
% 0.61/0.41 thf(type_def_11, type, set: $tType > $tType).
% 0.61/0.41 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.61/0.41 thf(func_def_0, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_1, type, denotational_Consts: (denotational_interp > char > real)).
% 0.61/0.41 thf(func_def_2, type, denotational_Funcs: (denotational_interp > char > real > real)).
% 0.61/0.41 thf(func_def_3, type, denotational_Games: (denotational_interp > char > set @ (variable > real) > set @ (variable > real))).
% 0.61/0.41 thf(func_def_4, type, denotational_Preds: (denotational_interp > char > real > $o)).
% 0.61/0.41 thf(func_def_5, type, denota1150374853interp: (product_prod @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) > denotational_interp)).
% 0.61/0.41 thf(func_def_6, type, denotational_worlds: set @ (variable > real)).
% 0.61/0.41 thf(func_def_7, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 0.61/0.41 thf(func_def_8, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 0.61/0.41 thf(func_def_9, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_10, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.61/0.41 thf(func_def_11, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_12, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.61/0.41 thf(func_def_13, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.61/0.41 thf(func_def_14, type, top_top: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_15, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_16, type, product_Pair_Rep: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > X1 > $o))).
% 0.61/0.41 thf(func_def_17, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_18, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 0.61/0.41 thf(func_def_19, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.61/0.41 thf(func_def_20, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 0.61/0.41 thf(func_def_21, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 0.61/0.41 thf(func_def_22, type, product_rec_set_bool: !>[X0: $tType]:((X0 > X0 > $o > X0 > $o))).
% 0.61/0.41 thf(func_def_23, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.61/0.41 thf(func_def_24, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 0.61/0.41 thf(func_def_25, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 0.61/0.41 thf(func_def_26, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 0.61/0.41 thf(func_def_27, type, product_Abs_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_28, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.61/0.41 thf(func_def_29, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.61/0.41 thf(func_def_30, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.61/0.41 thf(func_def_31, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.61/0.41 thf(func_def_32, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_33, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 0.61/0.41 thf(func_def_34, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.61/0.41 thf(func_def_35, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.61/0.41 thf(func_def_36, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.61/0.41 thf(func_def_37, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.41 thf(func_def_38, type, uSubst761942615e_repc: (denotational_interp > char > real > denotational_interp)).
% 0.61/0.41 thf(func_def_39, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_40, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.61/0.41 thf(func_def_41, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.61/0.41 thf(func_def_42, type, i: denotational_interp).
% 0.61/0.41 thf(func_def_43, type, d: real).
% 0.61/0.41 thf(func_def_44, type, f: char).
% 0.61/0.41 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 0.61/0.41 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.61/0.41 thf(func_def_49, type, db1: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_50, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.61/0.41 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.61/0.41 thf(func_def_52, type, vIMP: ($o > $o > $o)).
% 0.61/0.41 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_57, type, vNOT: ($o > $o)).
% 0.61/0.41 thf(func_def_58, type, db3: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 0.61/0.41 thf(func_def_61, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_62, type, sK1: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1 > X1))).
% 0.61/0.41 thf(func_def_63, type, sK2: ((char > set @ (variable > real) > set @ (variable > real)) > char)).
% 0.61/0.41 thf(func_def_64, type, sK3: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_65, type, sK4: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_66, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 0.61/0.41 thf(func_def_67, type, sK6: !>[X0: $tType]:(X0)).
% 0.61/0.41 thf(func_def_68, type, sK7: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 0.61/0.41 thf(func_def_69, type, sK8: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 0.61/0.41 thf(func_def_70, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 0.61/0.41 thf(func_def_71, type, sK10: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 0.61/0.41 thf(func_def_72, type, sK11: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 0.61/0.41 thf(func_def_73, type, sK12: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_74, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X1))).
% 0.61/0.41 thf(func_def_75, type, sK14: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 0.61/0.41 thf(func_def_76, type, sK15: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_77, type, sK16: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.61/0.41 thf(func_def_78, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X2))).
% 0.61/0.41 thf(func_def_79, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X0))).
% 0.61/0.41 thf(func_def_80, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X4))).
% 0.61/0.41 thf(func_def_81, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X3))).
% 0.61/0.41 thf(func_def_82, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X1))).
% 0.61/0.41 thf(func_def_83, type, sK22: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.61/0.41 thf(func_def_84, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X3))).
% 0.61/0.41 thf(func_def_85, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X0))).
% 0.61/0.41 thf(func_def_86, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X1))).
% 0.61/0.41 thf(func_def_87, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X2))).
% 0.61/0.41 thf(func_def_88, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X4))).
% 0.61/0.41 thf(func_def_89, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X5))).
% 0.61/0.41 thf(func_def_90, type, sK29: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.61/0.41 thf(func_def_91, type, sK30: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_92, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ X1 > (X2 > X1) > (X0 > X3) > set @ product_prod @ X0 @ X2 > X2))).
% 0.61/0.41 thf(func_def_93, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ X1 > (X2 > X1) > (X0 > X3) > set @ product_prod @ X0 @ X2 > X0))).
% 0.61/0.41 thf(func_def_94, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X1))).
% 0.61/0.41 thf(func_def_95, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X0))).
% 0.61/0.41 thf(func_def_96, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X2))).
% 0.61/0.41 thf(func_def_97, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.41 thf(func_def_98, type, sK37: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.41 thf(func_def_99, type, sK38: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.41 thf(func_def_100, type, sK39: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > X1))).
% 0.61/0.41 thf(func_def_101, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 0.61/0.41 thf(func_def_102, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X4))).
% 0.61/0.42 thf(func_def_103, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X5))).
% 0.61/0.42 thf(func_def_104, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X0))).
% 0.61/0.42 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X3))).
% 0.61/0.42 thf(func_def_106, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X6))).
% 0.61/0.42 thf(func_def_107, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X2))).
% 0.61/0.42 thf(func_def_108, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > X1))).
% 0.61/0.42 thf(func_def_109, type, sK48: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_110, type, sK49: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X0 > set @ X1) > X0))).
% 0.61/0.42 thf(func_def_111, type, sK50: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_112, type, sK51: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X1 > set @ X0))).
% 0.61/0.42 thf(func_def_113, type, sK52: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.61/0.42 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.61/0.42 thf(func_def_115, type, sK54: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_116, type, sK55: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 0.61/0.42 thf(func_def_117, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > product_prod @ X2 @ X1 > X0 > X1))).
% 0.61/0.42 thf(func_def_118, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > product_prod @ X2 @ X1 > X0 > X2))).
% 0.61/0.42 thf(func_def_119, type, sK58: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1 > X0))).
% 0.61/0.42 thf(func_def_120, type, sK59: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.42 thf(func_def_121, type, sK60: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.42 thf(func_def_122, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_123, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 0.61/0.42 thf(func_def_124, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 0.61/0.42 thf(func_def_125, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > set @ X1) > set @ X0 > X0))).
% 0.61/0.42 thf(func_def_126, type, sK65: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > set @ X1) > set @ X0 > X1))).
% 0.61/0.42 thf(func_def_127, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1 > $o) > product_prod @ X2 @ X0 > X1 > X2))).
% 0.61/0.42 thf(func_def_128, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1 > $o) > product_prod @ X2 @ X0 > X1 > X0))).
% 0.61/0.42 thf(func_def_129, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > set @ X1 > X1))).
% 0.61/0.42 thf(func_def_130, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X1 > X2 > X0) > product_prod @ X1 @ X2 > X1))).
% 0.61/0.42 thf(func_def_131, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X1 > X2 > X0) > product_prod @ X1 @ X2 > X2))).
% 0.61/0.42 thf(func_def_132, type, sK71: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > set @ X0 > X0))).
% 0.61/0.42 thf(func_def_133, type, sK72: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > set @ X0 > X1))).
% 0.61/0.42 thf(func_def_134, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 0.61/0.42 thf(func_def_135, type, sK74: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 0.61/0.42 thf(func_def_136, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 0.61/0.42 thf(func_def_137, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.61/0.42 thf(func_def_138, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.61/0.42 thf(func_def_139, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_140, type, sK79: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_141, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 0.61/0.42 thf(func_def_142, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 0.61/0.42 thf(func_def_143, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X0))).
% 0.61/0.42 thf(func_def_144, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X2))).
% 0.61/0.42 thf(func_def_145, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X1))).
% 0.61/0.42 thf(func_def_146, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X3))).
% 0.61/0.42 thf(func_def_147, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X4))).
% 0.61/0.42 thf(func_def_148, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X4))).
% 0.61/0.42 thf(func_def_149, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X0))).
% 0.61/0.42 thf(func_def_150, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X2))).
% 0.61/0.42 thf(func_def_151, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X6))).
% 0.61/0.42 thf(func_def_152, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X1))).
% 0.61/0.42 thf(func_def_153, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X5))).
% 0.61/0.42 thf(func_def_154, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X6 @ X2 > $o) > X3))).
% 0.61/0.42 thf(func_def_155, type, sK94: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 0.61/0.42 thf(func_def_156, type, sK95: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X0))).
% 0.61/0.42 thf(func_def_157, type, sK96: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.61/0.42 thf(func_def_158, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.61/0.42 thf(func_def_159, type, sK98: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.61/0.42 thf(func_def_160, type, sK99: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 0.61/0.42 thf(func_def_161, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 0.61/0.42 thf(func_def_162, type, sK101: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 0.61/0.42 thf(func_def_163, type, sK102: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_164, type, sK103: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1) > set @ X0))).
% 0.61/0.42 thf(func_def_165, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > product_prod @ X0 @ X2 > X1 > X2))).
% 0.61/0.42 thf(func_def_166, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > product_prod @ X0 @ X2 > X1 > X0))).
% 0.61/0.42 thf(func_def_167, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X0 > X1 > $o) > (X2 > $o) > X1))).
% 0.61/0.42 thf(func_def_168, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X0 > X1 > $o) > (X2 > $o) > X0))).
% 0.61/0.42 thf(func_def_169, type, sK108: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_170, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X1))).
% 0.61/0.42 thf(func_def_171, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X2))).
% 0.61/0.42 thf(func_def_172, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X0))).
% 0.61/0.42 thf(func_def_173, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X4))).
% 0.61/0.42 thf(func_def_174, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X5))).
% 0.61/0.42 thf(func_def_175, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X3))).
% 0.61/0.42 thf(func_def_176, type, sK115: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 0.61/0.42 thf(func_def_177, type, sK116: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_178, type, sK117: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_179, type, sK118: !>[X0: $tType]:((set @ X0 > X0))).
% 0.61/0.42 thf(func_def_180, type, sK119: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 0.61/0.42 thf(func_def_181, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X1 > $o) > product_prod @ X2 @ X0 > X2))).
% 0.61/0.42 thf(func_def_182, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X1 > $o) > product_prod @ X2 @ X0 > X0))).
% 0.61/0.42 thf(func_def_183, type, sK122: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.61/0.42 thf(func_def_184, type, sK123: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.61/0.42 thf(func_def_185, type, sK124: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > (X0 > set @ X1) > X0))).
% 0.61/0.42 thf(func_def_186, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > product_prod @ X1 @ X2 > (X1 > X2 > set @ X0) > X2))).
% 0.61/0.42 thf(func_def_187, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > product_prod @ X1 @ X2 > (X1 > X2 > set @ X0) > X1))).
% 0.61/0.42 thf(func_def_188, type, sK127: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > $o) > (X1 > X0) > X1))).
% 0.61/0.42 thf(func_def_189, type, sK128: !>[X0: $tType, X1: $tType]:((X1 > product_prod @ X0 @ X1 > X0))).
% 0.61/0.42 thf(func_def_190, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.61/0.42 thf(func_def_191, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.61/0.42 thf(func_def_192, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X3))).
% 0.61/0.42 thf(func_def_193, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.61/0.42 thf(func_def_194, type, sK133: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 0.61/0.42 thf(func_def_195, type, sK134: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 0.61/0.42 thf(func_def_197, type, sK136: char).
% 0.61/0.42 thf(func_def_198, type, sK137: real).
% 0.61/0.42 thf(func_def_199, type, sK138: (denotational_interp > denotational_interp > char)).
% 0.61/0.42 thf(f1,axiom,(
% 0.61/0.42 ! [X8 : (char > set @ (variable > real) > set @ (variable > real)),X5 : (char > real),X7 : (char > real > $o),X6 : (char > real > real)] : (((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X5 @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X6 @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X7 @ X8)))))) = X7)),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Preds__mkinterp)).
% 0.61/0.42 thf(f260,conjecture,(
% 0.61/0.42 (((denotational_Preds @ i)) = ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[X0 : char] : ((if @ real @ (X0 = f) @ d @ (denotational_Consts @ i @ X0)))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.61/0.42 thf(f261,negated_conjecture,(
% 0.61/0.42 ~ (((denotational_Preds @ i)) = ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[X0 : char] : ((if @ real @ (X0 = f) @ d @ (denotational_Consts @ i @ X0)))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 inference(negated_conjecture,[status(cth)],[f260])).
% 0.61/0.42 thf(f529,plain,(
% 0.61/0.42 ~ (((denotational_Preds @ i)) = ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[X0 : char] : ((if @ real @ (X0 = f) @ d @ (denotational_Consts @ i @ X0)))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 inference(rectify,[],[f261])).
% 0.61/0.42 thf(f530,plain,(
% 0.61/0.42 ~ (((denotational_Preds @ i)) = ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[Y0 : char]: (if @ real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 inference(fool_elimination,[],[f529])).
% 0.61/0.42 thf(f706,plain,(
% 0.61/0.42 (((denotational_Preds @ i)) != ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[Y0 : char]: (if @ real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 inference(flattening,[],[f530])).
% 0.61/0.42 thf(f713,plain,(
% 0.61/0.42 ! [X3 : (char > real > real),X0 : (char > set @ (variable > real) > set @ (variable > real)),X1 : (char > real),X2 : (char > real > $o)] : (((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X1 @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X3 @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X2 @ X0)))))) = X2)),
% 0.61/0.42 inference(rectify,[],[f1])).
% 0.61/0.42 thf(f942,plain,(
% 0.61/0.42 ! [X0 : (char > real > real),X1 : (char > set @ (variable > real) > set @ (variable > real)),X2 : (char > real),X3 : (char > real > $o)] : (((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X2 @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X0 @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X3 @ X1)))))) = X3)),
% 0.61/0.42 inference(rectify,[],[f713])).
% 0.61/0.42 thf(f1173,plain,(
% 0.61/0.42 (((denotational_Preds @ i)) != ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[Y0 : char]: (if @ real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 inference(cnf_transformation,[],[f706])).
% 0.61/0.42 thf(f1260,plain,(
% 0.61/0.42 ( ! [X2 : (char > real),X3 : (char > real > $o),X0 : (char > real > real),X1 : (char > set @ (variable > real) > set @ (variable > real))] : ((((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X2 @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X0 @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ X3 @ X1)))))) = X3)) )),
% 0.61/0.42 inference(cnf_transformation,[],[f942])).
% 0.61/0.42 thf(f1652,definition,(
% 0.61/0.42 spl135_3 <=> (((denotational_Preds @ i)) = ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[Y0 : char]: (if @ real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i))))))))),
% 0.61/0.42 introduced(definition,[new_symbols(definition,[spl135_3])],[avatar_definition])).
% 0.61/0.42 thf(f1654,plain,(
% 0.61/0.42 (((denotational_Preds @ i)) != ((denotational_Preds @ (denota1150374853interp @ (product_Pair @ (char > real) @ product_prod @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (^[Y0 : char]: (if @ real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (product_Pair @ (char > real > real) @ product_prod @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Funcs @ i) @ (product_Pair @ (char > real > $o) @ (char > set @ (variable > real) > set @ (variable > real)) @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))) | spl135_3),
% 0.61/0.42 inference(avatar_component_clause,[],[f1652])).
% 0.61/0.42 thf(f1655,plain,(
% 0.61/0.42 ~spl135_3),
% 0.61/0.42 inference(avatar_split_clause,[],[f1173,f1652])).
% 0.61/0.42 thf(f1750,plain,(
% 0.61/0.42 (((denotational_Preds @ i)) != ((denotational_Preds @ i))) | spl135_3),
% 0.61/0.42 inference(superposition,[],[f1654,f1260])).
% 0.61/0.42 thf(f1751,plain,(
% 0.61/0.42 $false | spl135_3),
% 0.61/0.42 inference(trivial_inequality_removal,[],[f1750])).
% 0.61/0.42 thf(f1752,plain,(
% 0.61/0.42 spl135_3),
% 0.61/0.42 inference(avatar_contradiction_clause,[],[f1751])).
% 0.61/0.42 cnf(s3, plain, ~spl135_3, inference(sat_conversion,[],[f1655])).
% 0.61/0.42 cnf(s7, plain, spl135_3, inference(sat_conversion,[],[f1752])).
% 0.61/0.42 cnf(s8, plain, $false, inference(rat,[],[s3,s7])).
% 0.61/0.42 thf(f1753,plain,(
% 0.61/0.42 $false),
% 0.61/0.42 inference(avatar_sat_refutation,[],[s8])).
% 0.61/0.42 % SZS output end Proof for theBenchmark
% 0.61/0.42 % (2995980)------------------------------
% 0.61/0.42 % (2995980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (2995980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (2995980)CaDiCaL version: 2.1.3
% 0.61/0.42 % (2995980)Termination reason: Refutation
% 0.61/0.42 % (2995980)Time elapsed: 0.088 s
% 0.61/0.42 % (2995980)Peak memory usage: 15 MB
% 0.61/0.42 % (2995980)Instructions burned: 167 (million)
% 0.61/0.42 % (2995972)Success in time 0.133 s
% 0.61/0.42 % Vampire exiting
%------------------------------------------------------------------------------