TSTP Solution File: AGT038^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT038^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 17:58:49 EDT 2024
% Result : Theorem 0.14s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : AGT038^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.38 % Computer : n013.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sat May 18 18:53:38 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 This is a TH0_THM_EQU_NAR problem
% 0.14/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % (18051)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.40 % (18050)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40 % (18054)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40 % (18052)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.40 % (18053)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40 % (18055)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.40 % (18056)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40 % (18057)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40 % (18053)Instruction limit reached!
% 0.14/0.40 % (18053)------------------------------
% 0.14/0.40 % (18053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (18053)Termination reason: Unknown
% 0.14/0.40 % (18053)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (18054)Instruction limit reached!
% 0.14/0.40 % (18054)------------------------------
% 0.14/0.40 % (18054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (18054)Termination reason: Unknown
% 0.14/0.40 % (18054)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (18054)Memory used [KB]: 1023
% 0.14/0.40 % (18054)Time elapsed: 0.003 s
% 0.14/0.40 % (18054)Instructions burned: 3 (million)
% 0.14/0.40 % (18054)------------------------------
% 0.14/0.40 % (18054)------------------------------
% 0.14/0.40 % (18053)Memory used [KB]: 1023
% 0.14/0.40 % (18053)Time elapsed: 0.003 s
% 0.14/0.40 % (18053)Instructions burned: 2 (million)
% 0.14/0.40 % (18053)------------------------------
% 0.14/0.40 % (18053)------------------------------
% 0.14/0.40 % (18051)Instruction limit reached!
% 0.14/0.40 % (18051)------------------------------
% 0.14/0.40 % (18051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (18051)Termination reason: Unknown
% 0.14/0.40 % (18051)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (18051)Memory used [KB]: 1023
% 0.14/0.40 % (18051)Time elapsed: 0.004 s
% 0.14/0.40 % (18051)Instructions burned: 4 (million)
% 0.14/0.40 % (18051)------------------------------
% 0.14/0.40 % (18051)------------------------------
% 0.14/0.40 % (18057)Instruction limit reached!
% 0.14/0.40 % (18057)------------------------------
% 0.14/0.40 % (18057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (18057)Termination reason: Unknown
% 0.14/0.40 % (18057)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (18057)Memory used [KB]: 1023
% 0.14/0.40 % (18057)Time elapsed: 0.004 s
% 0.14/0.40 % (18057)Instructions burned: 4 (million)
% 0.14/0.40 % (18057)------------------------------
% 0.14/0.40 % (18057)------------------------------
% 0.14/0.41 % (18055)Refutation not found, incomplete strategy
% 0.14/0.41 % (18055)------------------------------
% 0.14/0.41 % (18055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (18055)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % (18055)Memory used [KB]: 5628
% 0.14/0.41 % (18055)Time elapsed: 0.009 s
% 0.14/0.41 % (18055)Instructions burned: 14 (million)
% 0.14/0.41 % (18055)------------------------------
% 0.14/0.41 % (18055)------------------------------
% 0.14/0.41 % (18056)Instruction limit reached!
% 0.14/0.41 % (18056)------------------------------
% 0.14/0.41 % (18056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (18056)Termination reason: Unknown
% 0.14/0.41 % (18056)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (18056)Memory used [KB]: 1151
% 0.14/0.41 % (18056)Time elapsed: 0.011 s
% 0.14/0.41 % (18056)Instructions burned: 19 (million)
% 0.14/0.41 % (18056)------------------------------
% 0.14/0.41 % (18056)------------------------------
% 0.14/0.41 % (18052)Instruction limit reached!
% 0.14/0.41 % (18052)------------------------------
% 0.14/0.41 % (18052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (18052)Termination reason: Unknown
% 0.14/0.41 % (18052)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (18052)Memory used [KB]: 5756
% 0.14/0.41 % (18052)Time elapsed: 0.015 s
% 0.14/0.41 % (18052)Instructions burned: 27 (million)
% 0.14/0.41 % (18052)------------------------------
% 0.14/0.41 % (18052)------------------------------
% 0.14/0.42 % (18058)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.42 % (18059)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.42 % (18060)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42 % (18061)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.42 % (18060)Instruction limit reached!
% 0.14/0.42 % (18060)------------------------------
% 0.14/0.42 % (18060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (18060)Termination reason: Unknown
% 0.14/0.42 % (18060)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (18060)Memory used [KB]: 1023
% 0.14/0.42 % (18060)Time elapsed: 0.003 s
% 0.14/0.42 % (18060)Instructions burned: 3 (million)
% 0.14/0.42 % (18060)------------------------------
% 0.14/0.42 % (18060)------------------------------
% 0.14/0.42 % (18062)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.42 % (18059)Instruction limit reached!
% 0.14/0.42 % (18059)------------------------------
% 0.14/0.42 % (18059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (18059)Termination reason: Unknown
% 0.14/0.42 % (18059)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (18059)Memory used [KB]: 1151
% 0.14/0.42 % (18059)Time elapsed: 0.009 s
% 0.14/0.42 % (18059)Instructions burned: 15 (million)
% 0.14/0.42 % (18059)------------------------------
% 0.14/0.42 % (18059)------------------------------
% 0.14/0.42 % (18063)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.43 % (18062)Instruction limit reached!
% 0.14/0.43 % (18062)------------------------------
% 0.14/0.43 % (18062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (18062)Termination reason: Unknown
% 0.14/0.43 % (18062)Termination phase: Property scanning
% 0.14/0.43
% 0.14/0.43 % (18062)Memory used [KB]: 1151
% 0.14/0.43 % (18062)Time elapsed: 0.005 s
% 0.14/0.43 % (18062)Instructions burned: 7 (million)
% 0.14/0.43 % (18062)------------------------------
% 0.14/0.43 % (18062)------------------------------
% 0.14/0.43 % (18064)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.43 % (18064)Instruction limit reached!
% 0.14/0.43 % (18064)------------------------------
% 0.14/0.43 % (18064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (18064)Termination reason: Unknown
% 0.14/0.43 % (18064)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (18064)Memory used [KB]: 1023
% 0.14/0.43 % (18064)Time elapsed: 0.004 s
% 0.14/0.43 % (18064)Instructions burned: 4 (million)
% 0.14/0.43 % (18064)------------------------------
% 0.14/0.43 % (18064)------------------------------
% 0.14/0.43 % (18063)Instruction limit reached!
% 0.14/0.43 % (18063)------------------------------
% 0.14/0.43 % (18063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (18063)Termination reason: Unknown
% 0.14/0.43 % (18063)Termination phase: Property scanning
% 0.14/0.43
% 0.14/0.43 % (18063)Memory used [KB]: 1151
% 0.14/0.43 % (18063)Time elapsed: 0.009 s
% 0.14/0.43 % (18063)Instructions burned: 16 (million)
% 0.14/0.43 % (18063)------------------------------
% 0.14/0.43 % (18063)------------------------------
% 0.14/0.43 % (18065)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.43 % (18065)Instruction limit reached!
% 0.14/0.43 % (18065)------------------------------
% 0.14/0.43 % (18065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (18065)Termination reason: Unknown
% 0.14/0.43 % (18065)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (18065)Memory used [KB]: 1023
% 0.14/0.43 % (18065)Time elapsed: 0.003 s
% 0.14/0.43 % (18065)Instructions burned: 3 (million)
% 0.14/0.43 % (18065)------------------------------
% 0.14/0.43 % (18065)------------------------------
% 0.14/0.43 % (18058)Instruction limit reached!
% 0.14/0.43 % (18058)------------------------------
% 0.14/0.43 % (18058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (18058)Termination reason: Unknown
% 0.14/0.43 % (18058)Termination phase: Saturation
% 0.14/0.43
% 0.14/0.43 % (18058)Memory used [KB]: 5884
% 0.14/0.43 % (18058)Time elapsed: 0.020 s
% 0.14/0.43 % (18058)Instructions burned: 38 (million)
% 0.14/0.43 % (18058)------------------------------
% 0.14/0.43 % (18058)------------------------------
% 0.14/0.44 % (18066)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.44 % (18066)Instruction limit reached!
% 0.14/0.44 % (18066)------------------------------
% 0.14/0.44 % (18066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (18066)Termination reason: Unknown
% 0.14/0.44 % (18066)Termination phase: Property scanning
% 0.14/0.44
% 0.14/0.44 % (18066)Memory used [KB]: 1151
% 0.14/0.44 % (18066)Time elapsed: 0.005 s
% 0.14/0.44 % (18066)Instructions burned: 7 (million)
% 0.14/0.44 % (18066)------------------------------
% 0.14/0.44 % (18066)------------------------------
% 0.14/0.44 % (18067)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.44 % (18067)Instruction limit reached!
% 0.14/0.44 % (18067)------------------------------
% 0.14/0.44 % (18067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (18067)Termination reason: Unknown
% 0.14/0.44 % (18067)Termination phase: shuffling
% 0.14/0.44
% 0.14/0.44 % (18067)Memory used [KB]: 1023
% 0.14/0.44 % (18067)Time elapsed: 0.003 s
% 0.14/0.44 % (18067)Instructions burned: 3 (million)
% 0.14/0.44 % (18067)------------------------------
% 0.14/0.44 % (18067)------------------------------
% 0.14/0.44 % (18050)First to succeed.
% 0.14/0.44 % (18068)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.45 % (18069)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.45 % (18068)Instruction limit reached!
% 0.14/0.45 % (18068)------------------------------
% 0.14/0.45 % (18068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.45 % (18068)Termination reason: Unknown
% 0.14/0.45 % (18068)Termination phase: shuffling
% 0.14/0.45
% 0.14/0.45 % (18068)Memory used [KB]: 1023
% 0.14/0.45 % (18068)Time elapsed: 0.004 s
% 0.14/0.45 % (18068)Instructions burned: 4 (million)
% 0.14/0.45 % (18068)------------------------------
% 0.14/0.45 % (18068)------------------------------
% 0.14/0.45 % (18050)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% 0.14/0.45 thf(type_def_5, type, mu: $tType).
% 0.14/0.45 thf(func_def_0, type, mu: $tType).
% 0.14/0.45 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.14/0.45 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_15, type, mtrue: $i > $o).
% 0.14/0.45 thf(func_def_16, type, mfalse: $i > $o).
% 0.14/0.45 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.45 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.14/0.45 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.14/0.45 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.45 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.45 thf(func_def_33, type, a1: $i > $i > $o).
% 0.14/0.45 thf(func_def_34, type, a2: $i > $i > $o).
% 0.14/0.45 thf(func_def_35, type, a3: $i > $i > $o).
% 0.14/0.45 thf(func_def_36, type, jan: mu).
% 0.14/0.45 thf(func_def_37, type, piotr: mu).
% 0.14/0.45 thf(func_def_38, type, cola: mu).
% 0.14/0.45 thf(func_def_39, type, pepsi: mu).
% 0.14/0.45 thf(func_def_40, type, beer: mu).
% 0.14/0.45 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.14/0.45 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.14/0.45 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.14/0.45 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.14/0.45 thf(func_def_62, type, sK1: $i > $i).
% 0.14/0.45 thf(func_def_64, type, sK3: $i > $i).
% 0.14/0.45 thf(func_def_65, type, sK4: mu > mu > $i > $i).
% 0.14/0.45 thf(func_def_66, type, sK5: mu > mu > $i > $i).
% 0.14/0.45 thf(func_def_67, type, sK6: $i > $i).
% 0.14/0.45 thf(func_def_68, type, sK7: mu > $i > mu > $i).
% 0.14/0.45 thf(func_def_69, type, sK8: $i > $i).
% 0.14/0.45 thf(func_def_70, type, sK9: $i > $i).
% 0.14/0.45 thf(f831,plain,(
% 0.14/0.45 $false),
% 0.14/0.45 inference(trivial_inequality_removal,[],[f820])).
% 0.14/0.45 thf(f820,plain,(
% 0.14/0.45 ($true = $false)),
% 0.14/0.45 inference(superposition,[],[f715,f808])).
% 0.14/0.45 thf(f808,plain,(
% 0.14/0.45 ( ! [X0 : $i] : (($false = (a3 @ sK2 @ (sK9 @ X0)))) )),
% 0.14/0.45 inference(trivial_inequality_removal,[],[f804])).
% 0.14/0.45 thf(f804,plain,(
% 0.14/0.45 ( ! [X0 : $i] : (($true = $false) | ($false = (a3 @ sK2 @ (sK9 @ X0)))) )),
% 0.14/0.45 inference(superposition,[],[f716,f800])).
% 0.14/0.45 thf(f800,plain,(
% 0.14/0.45 ( ! [X0 : $i] : (((likes @ piotr @ pepsi @ X0) = $false) | ((a3 @ sK2 @ X0) = $false)) )),
% 0.14/0.45 inference(trivial_inequality_removal,[],[f797])).
% 0.14/0.45 thf(f797,plain,(
% 0.14/0.45 ( ! [X0 : $i] : (((likes @ piotr @ pepsi @ X0) = $false) | ($true = $false) | ((a3 @ sK2 @ X0) = $false)) )),
% 0.14/0.45 inference(superposition,[],[f367,f468])).
% 0.14/0.45 thf(f468,plain,(
% 0.14/0.45 ((possibly_likes @ piotr @ pepsi @ sK2) = $false)),
% 0.14/0.45 inference(sigma_clausification,[],[f467])).
% 0.14/0.45 thf(f467,plain,(
% 0.14/0.45 ($true != (!! @ $i @ (possibly_likes @ piotr @ pepsi)))),
% 0.14/0.45 inference(beta_eta_normalization,[],[f312])).
% 0.14/0.45 thf(f312,plain,(
% 0.14/0.45 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ piotr @ pepsi)))),
% 0.14/0.45 inference(definition_unfolding,[],[f235,f280])).
% 0.14/0.45 thf(f280,plain,(
% 0.14/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.45 inference(cnf_transformation,[],[f126])).
% 0.14/0.45 thf(f126,plain,(
% 0.14/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.45 inference(fool_elimination,[],[f125])).
% 0.14/0.45 thf(f125,plain,(
% 0.14/0.45 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.14/0.45 inference(rectify,[],[f28])).
% 0.14/0.45 thf(f28,axiom,(
% 0.14/0.45 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.14/0.45 thf(f235,plain,(
% 0.14/0.45 ((mvalid @ (possibly_likes @ piotr @ pepsi)) != $true)),
% 0.14/0.45 inference(cnf_transformation,[],[f218])).
% 0.14/0.45 thf(f218,plain,(
% 0.14/0.45 ((mvalid @ (possibly_likes @ piotr @ pepsi)) != $true)),
% 0.14/0.45 inference(flattening,[],[f146])).
% 0.14/0.45 thf(f146,plain,(
% 0.14/0.45 ~((mvalid @ (possibly_likes @ piotr @ pepsi)) = $true)),
% 0.14/0.45 inference(fool_elimination,[],[f145])).
% 0.14/0.45 thf(f145,plain,(
% 0.14/0.45 ~(mvalid @ (possibly_likes @ piotr @ pepsi))),
% 0.14/0.45 inference(rectify,[],[f74])).
% 0.14/0.45 thf(f74,negated_conjecture,(
% 0.14/0.45 ~(mvalid @ (possibly_likes @ piotr @ pepsi))),
% 0.14/0.45 inference(negated_conjecture,[],[f73])).
% 0.14/0.45 thf(f73,conjecture,(
% 0.14/0.45 (mvalid @ (possibly_likes @ piotr @ pepsi))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.14/0.45 thf(f367,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ((likes @ X2 @ X3 @ X4) = $false) | ((a3 @ X1 @ X4) = $false)) )),
% 0.14/0.45 inference(not_proxy_clausification,[],[f366])).
% 0.14/0.45 thf(f366,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a3 @ X1 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1)) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 0.14/0.45 inference(not_proxy_clausification,[],[f365])).
% 0.14/0.45 thf(f365,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (~ (a3 @ X1 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.14/0.45 inference(binary_proxy_clausification,[],[f364])).
% 0.14/0.45 thf(f364,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = ((~ (a3 @ X1 @ X4)) | (~ (likes @ X2 @ X3 @ X4))))) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f363])).
% 0.14/0.45 thf(f363,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))) @ X4)) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.14/0.45 inference(pi_clausification,[],[f362])).
% 0.14/0.45 thf(f362,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.14/0.45 inference(binary_proxy_clausification,[],[f361])).
% 0.14/0.45 thf(f361,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)))) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f360])).
% 0.14/0.45 thf(f360,plain,(
% 0.14/0.45 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 0.14/0.45 inference(pi_clausification,[],[f359])).
% 0.14/0.45 thf(f359,plain,(
% 0.14/0.45 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))))) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f358])).
% 0.14/0.45 thf(f358,plain,(
% 0.14/0.45 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a3 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2))) )),
% 0.14/0.45 inference(pi_clausification,[],[f357])).
% 0.14/0.45 thf(f357,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a3 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))) = $true)) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f356])).
% 0.14/0.45 thf(f356,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1))) )),
% 0.14/0.45 inference(pi_clausification,[],[f355])).
% 0.14/0.45 thf(f355,plain,(
% 0.14/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 0.14/0.45 inference(boolean_simplification,[],[f354])).
% 0.14/0.45 thf(f354,plain,(
% 0.14/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.14/0.45 inference(beta_eta_normalization,[],[f313])).
% 0.14/0.45 thf(f313,plain,(
% 0.14/0.45 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y4 @ Y6 @ Y7)) | (Y5 @ Y7))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.14/0.45 inference(definition_unfolding,[],[f236,f280,f257,f257,f293,f300])).
% 0.14/0.45 thf(f300,plain,(
% 0.14/0.45 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.14/0.45 inference(definition_unfolding,[],[f285,f238,f224,f238])).
% 0.14/0.45 thf(f224,plain,(
% 0.14/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f201])).
% 0.14/0.45 thf(f201,plain,(
% 0.14/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.14/0.45 inference(fool_elimination,[],[f200])).
% 0.14/0.45 thf(f200,plain,(
% 0.14/0.45 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.14/0.45 inference(rectify,[],[f16])).
% 0.14/0.45 thf(f16,axiom,(
% 0.14/0.45 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.14/0.45 thf(f238,plain,(
% 0.14/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f108])).
% 0.14/0.45 thf(f108,plain,(
% 0.14/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.45 inference(fool_elimination,[],[f107])).
% 0.14/0.45 thf(f107,plain,(
% 0.14/0.45 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.14/0.45 inference(rectify,[],[f3])).
% 0.14/0.45 thf(f3,axiom,(
% 0.14/0.45 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.14/0.45 thf(f285,plain,(
% 0.14/0.45 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f114])).
% 0.14/0.45 thf(f114,plain,(
% 0.14/0.45 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.14/0.45 inference(fool_elimination,[],[f113])).
% 0.14/0.45 thf(f113,plain,(
% 0.14/0.45 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
% 0.14/0.45 inference(rectify,[],[f17])).
% 0.14/0.45 thf(f17,axiom,(
% 0.14/0.45 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 0.14/0.45 thf(f293,plain,(
% 0.14/0.45 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.14/0.45 inference(definition_unfolding,[],[f273,f249,f238])).
% 0.14/0.45 thf(f249,plain,(
% 0.14/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f185])).
% 0.14/0.45 thf(f185,plain,(
% 0.14/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.45 inference(fool_elimination,[],[f184])).
% 0.14/0.45 thf(f184,plain,(
% 0.14/0.45 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.14/0.45 inference(rectify,[],[f4])).
% 0.14/0.45 thf(f4,axiom,(
% 0.14/0.45 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.14/0.45 thf(f273,plain,(
% 0.14/0.45 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.45 inference(cnf_transformation,[],[f170])).
% 0.14/0.45 thf(f170,plain,(
% 0.14/0.45 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.45 inference(fool_elimination,[],[f169])).
% 0.14/0.45 thf(f169,plain,(
% 0.14/0.45 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.14/0.45 inference(rectify,[],[f6])).
% 0.14/0.45 thf(f6,axiom,(
% 0.14/0.45 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.14/0.45 thf(f257,plain,(
% 0.14/0.45 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f180])).
% 0.14/0.45 thf(f180,plain,(
% 0.14/0.45 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.14/0.45 inference(fool_elimination,[],[f179])).
% 0.14/0.45 thf(f179,plain,(
% 0.14/0.45 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.14/0.45 inference(rectify,[],[f10])).
% 0.14/0.45 thf(f10,axiom,(
% 0.14/0.45 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 0.14/0.45 thf(f236,plain,(
% 0.14/0.45 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.14/0.45 inference(cnf_transformation,[],[f164])).
% 0.14/0.45 thf(f164,plain,(
% 0.14/0.45 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.14/0.45 inference(fool_elimination,[],[f163])).
% 0.14/0.45 thf(f163,plain,(
% 0.14/0.45 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.14/0.45 inference(rectify,[],[f49])).
% 0.14/0.45 thf(f49,axiom,(
% 0.14/0.45 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_5)).
% 0.14/0.45 thf(f716,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (((likes @ piotr @ pepsi @ (sK9 @ X1)) = $true)) )),
% 0.14/0.45 inference(not_proxy_clausification,[],[f713])).
% 0.14/0.45 thf(f713,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (((~ (likes @ piotr @ pepsi @ (sK9 @ X1))) = $false)) )),
% 0.14/0.45 inference(binary_proxy_clausification,[],[f712])).
% 0.14/0.45 thf(f712,plain,(
% 0.14/0.45 ( ! [X1 : $i] : ((((~ (a3 @ X1 @ (sK9 @ X1))) | (~ (likes @ piotr @ pepsi @ (sK9 @ X1)))) = $false)) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f711])).
% 0.14/0.45 thf(f711,plain,(
% 0.14/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0)))) @ (sK9 @ X1)) = $false)) )),
% 0.14/0.45 inference(sigma_clausification,[],[f710])).
% 0.14/0.45 thf(f710,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0))))) = $false)) )),
% 0.14/0.45 inference(not_proxy_clausification,[],[f709])).
% 0.14/0.45 thf(f709,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0)))))))) )),
% 0.14/0.45 inference(beta_eta_normalization,[],[f708])).
% 0.14/0.45 thf(f708,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (~ (likes @ piotr @ pepsi @ Y1))))))) @ X1))) )),
% 0.14/0.45 inference(pi_clausification,[],[f707])).
% 0.14/0.45 thf(f707,plain,(
% 0.14/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (~ (likes @ piotr @ pepsi @ Y1)))))))))),
% 0.14/0.45 inference(beta_eta_normalization,[],[f326])).
% 0.14/0.45 thf(f326,plain,(
% 0.14/0.45 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a3 @ (likes @ piotr @ pepsi))))),
% 0.14/0.45 inference(definition_unfolding,[],[f262,f280,f300])).
% 0.14/0.45 thf(f262,plain,(
% 0.14/0.45 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 0.14/0.45 inference(cnf_transformation,[],[f203])).
% 0.14/0.45 thf(f203,plain,(
% 0.14/0.45 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 0.14/0.45 inference(fool_elimination,[],[f202])).
% 0.14/0.45 thf(f202,plain,(
% 0.14/0.45 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 0.14/0.45 inference(rectify,[],[f42])).
% 0.14/0.45 thf(f42,axiom,(
% 0.14/0.45 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2)).
% 0.14/0.45 thf(f715,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (($true = (a3 @ X1 @ (sK9 @ X1)))) )),
% 0.14/0.45 inference(not_proxy_clausification,[],[f714])).
% 0.14/0.45 thf(f714,plain,(
% 0.14/0.45 ( ! [X1 : $i] : (((~ (a3 @ X1 @ (sK9 @ X1))) = $false)) )),
% 0.14/0.45 inference(binary_proxy_clausification,[],[f712])).
% 0.23/0.45 % SZS output end Proof for theBenchmark
% 0.23/0.45 % (18050)------------------------------
% 0.23/0.45 % (18050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (18050)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (18050)Memory used [KB]: 6268
% 0.23/0.45 % (18050)Time elapsed: 0.048 s
% 0.23/0.45 % (18050)Instructions burned: 81 (million)
% 0.23/0.45 % (18050)------------------------------
% 0.23/0.45 % (18050)------------------------------
% 0.23/0.45 % (18049)Success in time 0.068 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------