%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM196^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:26 AM UTC 2026
% Result : Theorem 0.34s 0.47s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM196^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:53:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.22/0.29 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
% 0.34/0.46 % (944821)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.34/0.46 % (944829)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=3475095340: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)
% 0.34/0.46 % (944827)lrs+10_16_si=on:nwc=1.5:random_seed=3503082323:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.34/0.46 % (944830)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1112131115:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.34/0.46 % (944832)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.34/0.46 % (944832)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
% 0.34/0.46 % (944827)Instruction limit reached!
% 0.34/0.46 % (944827)------------------------------
% 0.34/0.46 % (944827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944827)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944827)Termination reason: Instruction limit
% 0.34/0.46 % (944827)Termination phase: Property scanning
% 0.34/0.46 % (944827)Time elapsed: 0.010 s
% 0.34/0.46 % (944827)Peak memory usage: 10 MB
% 0.34/0.46 % (944827)Instructions burned: 19 (million)
% 0.34/0.46 % (944832)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=1898556590:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.34/0.46 % (944828)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3304080158:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.34/0.46 % (944830)Instruction limit reached!
% 0.34/0.46 % (944830)------------------------------
% 0.34/0.46 % (944830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944830)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944830)Termination reason: Instruction limit
% 0.34/0.46 % (944830)Termination phase: Property scanning
% 0.34/0.46 % (944830)Time elapsed: 0.011 s
% 0.34/0.46 % (944830)Peak memory usage: 10 MB
% 0.34/0.46 % (944830)Instructions burned: 25 (million)
% 0.34/0.46 % (944826)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=383499093:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.34/0.46 % (944831)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1875088494:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.34/0.46 % (944828)Instruction limit reached!
% 0.34/0.46 % (944828)------------------------------
% 0.34/0.46 % (944828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944828)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944828)Termination reason: Instruction limit
% 0.34/0.46 % (944828)Termination phase: shuffling
% 0.34/0.46 % (944828)Time elapsed: 0.005 s
% 0.34/0.46 % (944828)Peak memory usage: 10 MB
% 0.34/0.46 % (944828)Instructions burned: 5 (million)
% 0.34/0.46 % (944836)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1038253054:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.46 % (944836)Instruction limit reached!
% 0.34/0.46 % (944836)------------------------------
% 0.34/0.46 % (944836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944836)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944836)Termination reason: Instruction limit
% 0.34/0.46 % (944836)Termination phase: shuffling
% 0.34/0.46 % (944836)Time elapsed: 0.002 s
% 0.34/0.46 % (944836)Peak memory usage: 10 MB
% 0.34/0.46 % (944836)Instructions burned: 2 (million)
% 0.34/0.46 % (944842)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.46 % (944842)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1727570827:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.34/0.46 % (944842)Instruction limit reached!
% 0.34/0.46 % (944842)------------------------------
% 0.34/0.46 % (944842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944842)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944842)Termination reason: Instruction limit
% 0.34/0.46 % (944842)Termination phase: shuffling
% 0.34/0.46 % (944842)Time elapsed: 0.004 s
% 0.34/0.46 % (944842)Peak memory usage: 10 MB
% 0.34/0.46 % (944842)Instructions burned: 8 (million)
% 0.34/0.46 % (944839)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3690305362:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.34/0.46 % (944839)Instruction limit reached!
% 0.34/0.46 % (944839)------------------------------
% 0.34/0.46 % (944839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944839)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944839)Termination reason: Instruction limit
% 0.34/0.46 % (944839)Termination phase: shuffling
% 0.34/0.46 % (944839)Time elapsed: 0.005 s
% 0.34/0.46 % (944839)Peak memory usage: 10 MB
% 0.34/0.46 % (944839)Instructions burned: 5 (million)
% 0.34/0.46 % (944844)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3170733758:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.34/0.46 % (944831)Instruction limit reached!
% 0.34/0.46 % (944831)------------------------------
% 0.34/0.46 % (944831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944831)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944831)Termination reason: Instruction limit
% 0.34/0.46 % (944831)Termination phase: Property scanning
% 0.34/0.46 % (944831)Time elapsed: 0.037 s
% 0.34/0.46 % (944831)Peak memory usage: 12 MB
% 0.34/0.46 % (944831)Instructions burned: 77 (million)
% 0.34/0.46 % (944826)Instruction limit reached!
% 0.34/0.46 % (944826)------------------------------
% 0.34/0.46 % (944826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944826)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944826)Termination reason: Instruction limit
% 0.34/0.46 % (944826)Termination phase: Property scanning
% 0.34/0.46 % (944826)Time elapsed: 0.039 s
% 0.34/0.46 % (944826)Peak memory usage: 12 MB
% 0.34/0.46 % (944826)Instructions burned: 89 (million)
% 0.34/0.46 % (944844)Instruction limit reached!
% 0.34/0.46 % (944844)------------------------------
% 0.34/0.46 % (944844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (944844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (944844)CaDiCaL version: 2.1.3
% 0.34/0.46 % (944844)Termination reason: Instruction limit
% 0.34/0.46 % (944844)Termination phase: shuffling
% 0.34/0.46 % (944844)Time elapsed: 0.006 s
% 0.34/0.46 % (944844)Peak memory usage: 10 MB
% 0.34/0.46 % (944844)Instructions burned: 12 (million)
% 0.34/0.46 % (944846)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
% 0.34/0.47 % (944846)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.47 % (944846)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3173251943:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.34/0.47 % (944851)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.34/0.47 % (944851)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=1221300520:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.34/0.47 % (944851)Instruction limit reached!
% 0.34/0.47 % (944851)------------------------------
% 0.34/0.47 % (944851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.47 % (944851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.47 % (944851)CaDiCaL version: 2.1.3
% 0.34/0.47 % (944851)Termination reason: Instruction limit
% 0.34/0.47 % (944851)Termination phase: shuffling
% 0.34/0.47 % (944851)Time elapsed: 0.002 s
% 0.34/0.47 % (944851)Peak memory usage: 10 MB
% 0.34/0.47 % (944851)Instructions burned: 3 (million)
% 0.34/0.47 % (944850)lrs+10_1_si=on:cs=on:random_seed=4126627657:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.34/0.47 % (944852)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1059973703:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.34/0.47 % (944829) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-944821-944829"...
% 0.34/0.47 % (944849)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=3753270051:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.34/0.47 % (944829)...printing done.
% 0.34/0.47 % (944850)Instruction limit reached!
% 0.34/0.47 % (944850)------------------------------
% 0.34/0.47 % (944850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.47 % (944850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.47 % (944850)CaDiCaL version: 2.1.3
% 0.34/0.47 % (944850)Termination reason: Instruction limit
% 0.34/0.47 % (944850)Termination phase: shuffling
% 0.34/0.47 % (944850)Time elapsed: 0.009 s
% 0.34/0.47 % (944850)Peak memory usage: 10 MB
% 0.34/0.47 % (944850)Instructions burned: 9 (million)
% 0.34/0.47 % (944829)Refutation found. Thanks to Tanya!
% 0.34/0.47 % SZS status Theorem for theBenchmark
% 0.34/0.47 % SZS output start Proof for theBenchmark
% 0.34/0.47 thf(type_def_5, type, set: $tType > $tType).
% 0.34/0.47 thf(type_def_6, type, t: $tType).
% 0.34/0.47 thf(type_def_7, type, n: $tType).
% 0.34/0.47 thf(type_def_8, type, itself: $tType > $tType).
% 0.34/0.47 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.34/0.47 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_5, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_6, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_7, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_8, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_9, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_10, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_11, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_12, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_13, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_14, type, comple187826305attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_15, type, comple1035589618norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_16, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_17, type, condit378418413attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_18, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.34/0.47 thf(func_def_19, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_20, type, gram_L1451583628elle_L: (set @ n > n > set @ set @ t)).
% 0.34/0.47 thf(func_def_21, type, gram_L861977280lle_LL: (set @ n > n > set @ set @ t)).
% 0.34/0.47 thf(func_def_22, type, gram_L861977318lle_Lr: (set @ n > n > set @ set @ t)).
% 0.34/0.47 thf(func_def_23, type, gram_L1456083582e_leqv: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > $o))).
% 0.34/0.47 thf(func_def_24, type, gram_L608943123e_subs: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > $o))).
% 0.34/0.47 thf(func_def_25, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.34/0.47 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.34/0.47 thf(func_def_28, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.34/0.47 thf(func_def_29, type, ordering_top: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > $o))).
% 0.34/0.47 thf(func_def_30, type, top_top: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_31, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.34/0.47 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.34/0.47 thf(func_def_33, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 0.34/0.47 thf(func_def_34, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.34/0.47 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.34/0.47 thf(func_def_36, type, ts: n).
% 0.34/0.47 thf(func_def_40, type, vOR: ($o > $o > $o)).
% 0.34/0.47 thf(func_def_41, type, db1: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_42, type, db0: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_43, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.34/0.47 thf(func_def_44, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.34/0.47 thf(func_def_45, type, vAND: ($o > $o > $o)).
% 0.34/0.47 thf(func_def_46, type, vNOT: ($o > $o)).
% 0.34/0.47 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.34/0.47 thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 0.34/0.47 thf(func_def_49, type, db2: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_50, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.34/0.47 thf(func_def_51, type, db3: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_52, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.34/0.47 thf(func_def_53, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.34/0.47 thf(func_def_54, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_55, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_56, type, sK4: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_57, type, sK5: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_58, type, sK6: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_59, type, sK7: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_60, type, sK8: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_61, type, sK9: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_62, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_63, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_64, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_65, type, sK13: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_66, type, sK14: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_67, type, sK15: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_68, type, sK16: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_69, type, sK17: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_70, type, sK18: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_71, type, sK19: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_72, type, sK20: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_73, type, sK21: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_74, type, sK22: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_75, type, sK23: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_76, type, sK24: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_77, type, sK25: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_78, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_79, type, sK27: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_80, type, sK28: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_81, type, sK29: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_82, type, sK30: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_83, type, sK31: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.34/0.47 thf(func_def_84, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_85, type, sK33: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_86, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_87, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_88, type, sK36: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_89, type, sK37: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_90, type, sK38: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_91, type, sK39: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_92, type, sK40: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_93, type, sK41: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_94, type, sK42: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_95, type, sK43: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_96, type, sK44: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_97, type, sK45: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_98, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_99, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_100, type, sK48: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_101, type, sK49: !>[X0: $tType]:(((X0 > $o) > set @ set @ X0 > X0))).
% 0.34/0.47 thf(func_def_102, type, sK50: !>[X0: $tType]:(((X0 > $o) > set @ set @ X0 > set @ X0))).
% 0.34/0.47 thf(func_def_103, type, sK51: !>[X0: $tType]:(((X0 > $o) > set @ set @ X0 > X0))).
% 0.34/0.47 thf(func_def_104, type, sK52: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_105, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_106, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_107, type, sK55: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_108, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_109, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_110, type, sK58: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_111, type, sK59: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 0.34/0.47 thf(func_def_112, type, sK60: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 0.34/0.47 thf(func_def_113, type, sK61: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_114, type, sK62: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_115, type, sK63: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_116, type, sK64: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_117, type, sK65: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_118, type, sK66: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_119, type, sK67: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 0.34/0.47 thf(func_def_120, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_121, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_122, type, sK70: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 0.34/0.47 thf(func_def_123, type, sK71: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_124, type, sK72: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_125, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_126, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_127, type, sK75: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_128, type, sK76: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 0.34/0.47 thf(func_def_129, type, sK77: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_130, type, sK78: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_131, type, sK79: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_132, type, sK80: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_133, type, sK81: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_134, type, sK82: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_135, type, sK83: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.34/0.47 thf(func_def_136, type, sK84: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_137, type, sK85: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_138, type, sK86: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_139, type, sK87: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_140, type, sK88: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 0.34/0.47 thf(func_def_141, type, sK89: !>[X0: $tType]:(X0)).
% 0.34/0.47 thf(func_def_142, type, sK90: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_143, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_144, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.34/0.47 thf(func_def_145, type, sK93: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_146, type, sK94: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 0.34/0.47 thf(func_def_147, type, sK95: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_148, type, sK96: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 0.34/0.47 thf(func_def_149, type, sK97: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_150, type, sK98: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_151, type, sK99: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_152, type, sK100: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_153, type, sK101: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_154, type, sK102: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.34/0.47 thf(func_def_155, type, sK103: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_156, type, sK104: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > set @ X0))).
% 0.34/0.47 thf(func_def_157, type, sK105: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_158, type, sK106: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_159, type, sK107: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_160, type, sK108: !>[X0: $tType]:((X0 > X0))).
% 0.34/0.47 thf(func_def_161, type, sK109: !>[X0: $tType]:((set @ X0 > X0))).
% 0.34/0.47 thf(func_def_162, type, sK110: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_163, type, sK111: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_164, type, sK112: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_165, type, sK113: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.34/0.47 thf(func_def_166, type, sK114: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.34/0.47 thf(f1,axiom,(
% 0.34/0.47 ! [X2 : n] : (gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ X2) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X2))),
% 0.34/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Lr__leqv__L)).
% 0.34/0.47 thf(f2,axiom,(
% 0.34/0.47 ! [X0 : n] : (gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))),
% 0.34/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_LL__leqv__L)).
% 0.34/0.47 thf(f4,axiom,(
% 0.34/0.47 ! [X0 : $tType,X2 : set @ set @ X0,X1 : set @ set @ X0] : ((gram_L1456083582e_leqv @ X0 @ X1 @ X2) => (gram_L1456083582e_leqv @ X0 @ X2 @ X1))),
% 0.34/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_leqv__sym)).
% 0.34/0.47 thf(f6,axiom,(
% 0.34/0.47 ! [X0 : $tType,X3 : set @ set @ X0,X1 : set @ set @ X0,X2 : set @ set @ X0] : ((gram_L1456083582e_leqv @ X0 @ X1 @ X2) => ((gram_L1456083582e_leqv @ X0 @ X2 @ X3) => (gram_L1456083582e_leqv @ X0 @ X1 @ X3)))),
% 0.34/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_leqv__trans)).
% 0.34/0.47 thf(f285,conjecture,(
% 0.34/0.47 (gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))),
% 0.34/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.34/0.47 thf(f286,negated_conjecture,(
% 0.34/0.47 ~(gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))),
% 0.34/0.47 inference(negated_conjecture,[status(cth)],[f285])).
% 0.34/0.47 thf(f336,plain,(
% 0.34/0.47 ! [X0 : n] : (gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))),
% 0.34/0.47 inference(rectify,[],[f1])).
% 0.34/0.47 thf(f337,plain,(
% 0.34/0.47 ! [X0 : n] : (((gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))) = $true)),
% 0.34/0.47 inference(fool_elimination,[],[f336])).
% 0.34/0.47 thf(f468,plain,(
% 0.34/0.47 ! [X0 : n] : (gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))),
% 0.34/0.47 inference(rectify,[],[f2])).
% 0.34/0.47 thf(f469,plain,(
% 0.34/0.47 ! [X0 : n] : (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))) = $true)),
% 0.34/0.47 inference(fool_elimination,[],[f468])).
% 0.34/0.47 thf(f556,plain,(
% 0.34/0.47 ~(gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))),
% 0.34/0.47 inference(rectify,[],[f286])).
% 0.34/0.47 thf(f557,plain,(
% 0.34/0.47 ~ (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))) = $true)),
% 0.34/0.47 inference(fool_elimination,[],[f556])).
% 0.34/0.47 thf(f673,plain,(
% 0.34/0.47 ! [X0 : $tType,X1 : set @ set @ X0,X2 : set @ set @ X0] : ((gram_L1456083582e_leqv @ X0 @ X2 @ X1) => (gram_L1456083582e_leqv @ X0 @ X1 @ X2))),
% 0.34/0.47 inference(rectify,[],[f4])).
% 0.34/0.47 thf(f674,plain,(
% 0.34/0.47 ! [X0 : $tType,X2 : set @ set @ X0,X1 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) = $true) => (((gram_L1456083582e_leqv @ X0 @ X1 @ X2)) = $true))),
% 0.34/0.47 inference(fool_elimination,[],[f673])).
% 0.34/0.47 thf(f815,plain,(
% 0.34/0.47 ! [X0 : $tType,X1 : set @ set @ X0,X2 : set @ set @ X0,X3 : set @ set @ X0] : ((gram_L1456083582e_leqv @ X0 @ X2 @ X3) => ((gram_L1456083582e_leqv @ X0 @ X3 @ X1) => (gram_L1456083582e_leqv @ X0 @ X2 @ X1)))),
% 0.34/0.47 inference(rectify,[],[f6])).
% 0.34/0.47 thf(f816,plain,(
% 0.34/0.47 ! [X0 : $tType,X3 : set @ set @ X0,X1 : set @ set @ X0,X2 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X2 @ X3)) = $true) => ((((gram_L1456083582e_leqv @ X0 @ X3 @ X1)) = $true) => (((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) = $true)))),
% 0.34/0.47 inference(fool_elimination,[],[f815])).
% 0.34/0.47 thf(f849,plain,(
% 0.34/0.47 (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))) != $true)),
% 0.34/0.47 inference(flattening,[],[f557])).
% 0.34/0.47 thf(f911,plain,(
% 0.34/0.47 ! [X0 : $tType,X3 : set @ set @ X0,X1 : set @ set @ X0,X2 : set @ set @ X0] : (((((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X3 @ X1)) != $true)) | (((gram_L1456083582e_leqv @ X0 @ X2 @ X3)) != $true))),
% 0.34/0.47 inference(ennf_transformation,[],[f816])).
% 0.34/0.47 thf(f912,plain,(
% 0.34/0.47 ! [X0 : $tType,X3 : set @ set @ X0,X1 : set @ set @ X0,X2 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X2 @ X3)) != $true) | (((gram_L1456083582e_leqv @ X0 @ X3 @ X1)) != $true))),
% 0.34/0.47 inference(flattening,[],[f911])).
% 0.34/0.47 thf(f1090,plain,(
% 0.34/0.47 ! [X0 : $tType,X1 : set @ set @ X0,X2 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X1 @ X2)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) != $true))),
% 0.34/0.47 inference(ennf_transformation,[],[f674])).
% 0.34/0.47 thf(f1326,plain,(
% 0.34/0.47 ! [X0 : $tType,X1 : set @ set @ X0,X2 : set @ set @ X0,X3 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X3 @ X2)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X3 @ X1)) != $true) | (((gram_L1456083582e_leqv @ X0 @ X1 @ X2)) != $true))),
% 0.34/0.47 inference(rectify,[],[f912])).
% 0.34/0.47 thf(f1726,plain,(
% 0.34/0.47 ( ! [X0 : $tType,X2 : set @ set @ X0,X3 : set @ set @ X0,X1 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X3 @ X2)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X3 @ X1)) != $true) | (((gram_L1456083582e_leqv @ X0 @ X1 @ X2)) != $true)) )),
% 0.34/0.47 inference(cnf_transformation,[],[f1326])).
% 0.34/0.47 thf(f1731,plain,(
% 0.34/0.47 (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))) != $true)),
% 0.34/0.47 inference(cnf_transformation,[],[f849])).
% 0.34/0.47 thf(f1741,plain,(
% 0.34/0.47 ( ! [X0 : n] : ((((gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))) = $true)) )),
% 0.34/0.47 inference(cnf_transformation,[],[f337])).
% 0.34/0.47 thf(f1775,plain,(
% 0.34/0.47 ( ! [X0 : $tType,X2 : set @ set @ X0,X1 : set @ set @ X0] : ((((gram_L1456083582e_leqv @ X0 @ X1 @ X2)) = $true) | (((gram_L1456083582e_leqv @ X0 @ X2 @ X1)) != $true)) )),
% 0.34/0.47 inference(cnf_transformation,[],[f1090])).
% 0.34/0.47 thf(f1789,plain,(
% 0.34/0.47 ( ! [X0 : n] : ((((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ X0) @ (gram_L1451583628elle_L @ top_top @ set @ n @ X0))) = $true)) )),
% 0.34/0.47 inference(cnf_transformation,[],[f469])).
% 0.34/0.47 thf(f2163,definition,(
% 0.34/0.47 spl115_13 <=> (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))) = $true)),
% 0.34/0.47 introduced(definition,[new_symbols(definition,[spl115_13])],[avatar_definition])).
% 0.34/0.47 thf(f2165,plain,(
% 0.34/0.47 (((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))) != $true) | spl115_13),
% 0.34/0.47 inference(avatar_component_clause,[],[f2163])).
% 0.34/0.47 thf(f2166,plain,(
% 0.34/0.47 ~spl115_13),
% 0.34/0.47 inference(avatar_split_clause,[],[f1731,f2163])).
% 0.34/0.47 thf(f2278,plain,(
% 0.34/0.47 ( ! [X0 : set @ set @ t] : (($true != ((gram_L1456083582e_leqv @ t @ X0 @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts)))) | ($true != $true) | ($true != ((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ X0)))) ) | spl115_13),
% 0.34/0.47 inference(superposition,[],[f2165,f1726])).
% 0.34/0.47 thf(f2280,plain,(
% 0.34/0.47 ( ! [X0 : set @ set @ t] : (($true != ((gram_L1456083582e_leqv @ t @ (gram_L861977280lle_LL @ top_top @ set @ n @ ts) @ X0))) | ($true != ((gram_L1456083582e_leqv @ t @ X0 @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))))) ) | spl115_13),
% 0.34/0.47 inference(trivial_inequality_removal,[],[f2278])).
% 0.34/0.47 thf(f2285,plain,(
% 0.34/0.47 ($true != ((gram_L1456083582e_leqv @ t @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts)))) | ($true != $true) | spl115_13),
% 0.34/0.47 inference(superposition,[],[f2280,f1789])).
% 0.34/0.47 thf(f2286,plain,(
% 0.34/0.47 ($true != ((gram_L1456083582e_leqv @ t @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts)))) | spl115_13),
% 0.34/0.47 inference(trivial_inequality_removal,[],[f2285])).
% 0.34/0.47 thf(f2291,definition,(
% 0.34/0.47 spl115_20 <=> ($true = ((gram_L1456083582e_leqv @ t @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts))))),
% 0.34/0.47 introduced(definition,[new_symbols(definition,[spl115_20])],[avatar_definition])).
% 0.34/0.47 thf(f2293,plain,(
% 0.34/0.47 ($true != ((gram_L1456083582e_leqv @ t @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts) @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts)))) | spl115_20),
% 0.34/0.47 inference(avatar_component_clause,[],[f2291])).
% 0.34/0.47 thf(f2294,plain,(
% 0.34/0.47 ~spl115_20 | spl115_13),
% 0.34/0.47 inference(avatar_split_clause,[],[f2286,f2163,f2291])).
% 0.34/0.47 thf(f2313,plain,(
% 0.34/0.47 ($true != $true) | (((gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts) @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts))) != $true) | spl115_20),
% 0.34/0.47 inference(superposition,[],[f2293,f1775])).
% 0.34/0.47 thf(f2315,plain,(
% 0.34/0.47 (((gram_L1456083582e_leqv @ t @ (gram_L861977318lle_Lr @ top_top @ set @ n @ ts) @ (gram_L1451583628elle_L @ top_top @ set @ n @ ts))) != $true) | spl115_20),
% 0.34/0.47 inference(trivial_inequality_removal,[],[f2313])).
% 0.34/0.47 thf(f2316,plain,(
% 0.34/0.47 $false | spl115_20),
% 0.34/0.47 inference(forward_subsumption_resolution,[],[f2315,f1741])).
% 0.34/0.47 thf(f2317,plain,(
% 0.34/0.47 spl115_20),
% 0.34/0.47 inference(avatar_contradiction_clause,[],[f2316])).
% 0.34/0.47 cnf(s12, plain, ~spl115_13, inference(sat_conversion,[],[f2166])).
% 0.34/0.47 cnf(s20, plain, spl115_13 | ~spl115_20, inference(sat_conversion,[],[f2294])).
% 0.34/0.47 cnf(s21, plain, spl115_20, inference(sat_conversion,[],[f2317])).
% 0.34/0.47 cnf(s22, plain, spl115_13, inference(rat,[],[s20,s21])).
% 0.34/0.47 cnf(s23, plain, $false, inference(rat,[],[s12,s22])).
% 0.34/0.47 thf(f2318,plain,(
% 0.34/0.47 $false),
% 0.34/0.47 inference(avatar_sat_refutation,[],[s23])).
% 0.34/0.47 % SZS output end Proof for theBenchmark
% 0.34/0.47 % (944829)------------------------------
% 0.34/0.47 % (944829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.47 % (944829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.47 % (944829)CaDiCaL version: 2.1.3
% 0.34/0.47 % (944829)Termination reason: Refutation
% 0.34/0.47 % (944829)Time elapsed: 0.096 s
% 0.34/0.47 % (944829)Peak memory usage: 15 MB
% 0.34/0.47 % (944829)Instructions burned: 176 (million)
% 0.34/0.47 % (944821)Success in time 0.159 s
% 0.34/0.47 % Vampire exiting
%------------------------------------------------------------------------------