TSTP Solution File: SWV427^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 : Tue May 21 06:01:11 EDT 2024
% Result : Theorem 0.24s 0.45s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% 0.09/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n004.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 07:55:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 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/sandbox/benchmark/theBenchmark.p
% 0.16/0.40 % (12279)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40 % (12280)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)
% 0.16/0.40 % (12281)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)
% 0.16/0.40 % (12278)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)
% 0.16/0.40 % (12282)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40 % (12280)Instruction limit reached!
% 0.16/0.40 % (12280)------------------------------
% 0.16/0.40 % (12280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12280)Termination reason: Unknown
% 0.16/0.40 % (12280)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (12280)Memory used [KB]: 1023
% 0.16/0.40 % (12280)Time elapsed: 0.003 s
% 0.16/0.40 % (12280)Instructions burned: 2 (million)
% 0.16/0.40 % (12280)------------------------------
% 0.16/0.40 % (12280)------------------------------
% 0.16/0.40 % (12279)Instruction limit reached!
% 0.16/0.40 % (12279)------------------------------
% 0.16/0.40 % (12279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12279)Termination reason: Unknown
% 0.16/0.40 % (12279)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (12279)Memory used [KB]: 1023
% 0.16/0.40 % (12279)Time elapsed: 0.004 s
% 0.16/0.40 % (12279)Instructions burned: 3 (million)
% 0.16/0.40 % (12279)------------------------------
% 0.16/0.40 % (12279)------------------------------
% 0.16/0.40 % (12276)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.40 % (12281)Refutation not found, incomplete strategy
% 0.16/0.40 % (12281)------------------------------
% 0.16/0.40 % (12281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12281)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40
% 0.16/0.40
% 0.16/0.40 % (12281)Memory used [KB]: 5500
% 0.16/0.40 % (12281)Time elapsed: 0.006 s
% 0.16/0.40 % (12281)Instructions burned: 5 (million)
% 0.16/0.40 % (12281)------------------------------
% 0.16/0.40 % (12281)------------------------------
% 0.16/0.40 % (12283)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)
% 0.24/0.41 % (12283)Instruction limit reached!
% 0.24/0.41 % (12283)------------------------------
% 0.24/0.41 % (12283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (12283)Termination reason: Unknown
% 0.24/0.41 % (12283)Termination phase: Property scanning
% 0.24/0.41
% 0.24/0.41 % (12283)Memory used [KB]: 1023
% 0.24/0.41 % (12283)Time elapsed: 0.004 s
% 0.24/0.41 % (12283)Instructions burned: 4 (million)
% 0.24/0.41 % (12283)------------------------------
% 0.24/0.41 % (12283)------------------------------
% 0.24/0.41 % (12277)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)
% 0.24/0.41 % (12282)Instruction limit reached!
% 0.24/0.41 % (12282)------------------------------
% 0.24/0.41 % (12282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (12282)Termination reason: Unknown
% 0.24/0.41 % (12282)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (12282)Memory used [KB]: 5628
% 0.24/0.41 % (12282)Time elapsed: 0.013 s
% 0.24/0.41 % (12282)Instructions burned: 19 (million)
% 0.24/0.41 % (12282)------------------------------
% 0.24/0.41 % (12282)------------------------------
% 0.24/0.41 % (12277)Instruction limit reached!
% 0.24/0.41 % (12277)------------------------------
% 0.24/0.41 % (12277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (12277)Termination reason: Unknown
% 0.24/0.41 % (12277)Termination phase: Property scanning
% 0.24/0.41
% 0.24/0.41 % (12277)Memory used [KB]: 1023
% 0.24/0.41 % (12277)Time elapsed: 0.004 s
% 0.24/0.41 % (12277)Instructions burned: 5 (million)
% 0.24/0.41 % (12277)------------------------------
% 0.24/0.41 % (12277)------------------------------
% 0.24/0.41 % (12284)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)
% 0.24/0.42 % (12285)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)
% 0.24/0.42 % (12278)Instruction limit reached!
% 0.24/0.42 % (12278)------------------------------
% 0.24/0.42 % (12278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (12278)Termination reason: Unknown
% 0.24/0.42 % (12278)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (12278)Memory used [KB]: 5756
% 0.24/0.42 % (12278)Time elapsed: 0.019 s
% 0.24/0.42 % (12278)Instructions burned: 27 (million)
% 0.24/0.42 % (12278)------------------------------
% 0.24/0.42 % (12278)------------------------------
% 0.24/0.42 % (12286)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)
% 0.24/0.42 % (12286)Instruction limit reached!
% 0.24/0.42 % (12286)------------------------------
% 0.24/0.42 % (12286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (12286)Termination reason: Unknown
% 0.24/0.42 % (12286)Termination phase: Property scanning
% 0.24/0.42
% 0.24/0.42 % (12286)Memory used [KB]: 1023
% 0.24/0.42 % (12286)Time elapsed: 0.004 s
% 0.24/0.42 % (12286)Instructions burned: 4 (million)
% 0.24/0.42 % (12286)------------------------------
% 0.24/0.42 % (12286)------------------------------
% 0.24/0.42 % (12287)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)
% 0.24/0.42 % (12285)Instruction limit reached!
% 0.24/0.42 % (12285)------------------------------
% 0.24/0.42 % (12285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (12285)Termination reason: Unknown
% 0.24/0.42 % (12285)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (12285)Memory used [KB]: 5628
% 0.24/0.42 % (12285)Time elapsed: 0.011 s
% 0.24/0.42 % (12285)Instructions burned: 16 (million)
% 0.24/0.42 % (12285)------------------------------
% 0.24/0.42 % (12285)------------------------------
% 0.24/0.42 % (12288)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.43 % (12289)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.43 % (12288)Instruction limit reached!
% 0.24/0.43 % (12288)------------------------------
% 0.24/0.43 % (12288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (12288)Termination reason: Unknown
% 0.24/0.43 % (12288)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (12288)Memory used [KB]: 1023
% 0.24/0.43 % (12288)Time elapsed: 0.006 s
% 0.24/0.43 % (12288)Instructions burned: 8 (million)
% 0.24/0.43 % (12288)------------------------------
% 0.24/0.43 % (12288)------------------------------
% 0.24/0.43 % (12290)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)
% 0.24/0.43 % (12284)Instruction limit reached!
% 0.24/0.43 % (12284)------------------------------
% 0.24/0.43 % (12284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (12284)Termination reason: Unknown
% 0.24/0.43 % (12284)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (12284)Memory used [KB]: 5884
% 0.24/0.43 % (12284)Time elapsed: 0.019 s
% 0.24/0.43 % (12284)Instructions burned: 37 (million)
% 0.24/0.43 % (12284)------------------------------
% 0.24/0.43 % (12284)------------------------------
% 0.24/0.43 % (12290)Instruction limit reached!
% 0.24/0.43 % (12290)------------------------------
% 0.24/0.43 % (12290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (12290)Termination reason: Unknown
% 0.24/0.43 % (12290)Termination phase: Preprocessing 1
% 0.24/0.43
% 0.24/0.43 % (12290)Memory used [KB]: 1023
% 0.24/0.43 % (12290)Time elapsed: 0.004 s
% 0.24/0.43 % (12290)Instructions burned: 4 (million)
% 0.24/0.43 % (12290)------------------------------
% 0.24/0.43 % (12290)------------------------------
% 0.24/0.43 % (12289)Instruction limit reached!
% 0.24/0.43 % (12289)------------------------------
% 0.24/0.43 % (12289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (12289)Termination reason: Unknown
% 0.24/0.43 % (12289)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (12289)Memory used [KB]: 5628
% 0.24/0.43 % (12289)Time elapsed: 0.011 s
% 0.24/0.43 % (12289)Instructions burned: 16 (million)
% 0.24/0.43 % (12289)------------------------------
% 0.24/0.43 % (12289)------------------------------
% 0.24/0.43 % (12291)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)
% 0.24/0.44 % (12291)Instruction limit reached!
% 0.24/0.44 % (12291)------------------------------
% 0.24/0.44 % (12291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (12291)Termination reason: Unknown
% 0.24/0.44 % (12291)Termination phase: Property scanning
% 0.24/0.44
% 0.24/0.44 % (12291)Memory used [KB]: 1023
% 0.24/0.44 % (12291)Time elapsed: 0.004 s
% 0.24/0.44 % (12291)Instructions burned: 4 (million)
% 0.24/0.44 % (12291)------------------------------
% 0.24/0.44 % (12291)------------------------------
% 0.24/0.44 % (12292)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)
% 0.24/0.44 % (12292)Instruction limit reached!
% 0.24/0.44 % (12292)------------------------------
% 0.24/0.44 % (12292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (12292)Termination reason: Unknown
% 0.24/0.44 % (12292)Termination phase: Saturation
% 0.24/0.44
% 0.24/0.44 % (12292)Memory used [KB]: 5500
% 0.24/0.44 % (12292)Time elapsed: 0.006 s
% 0.24/0.44 % (12292)Instructions burned: 8 (million)
% 0.24/0.44 % (12292)------------------------------
% 0.24/0.44 % (12292)------------------------------
% 0.24/0.44 % (12293)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)
% 0.24/0.44 % (12294)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.45 % (12293)Instruction limit reached!
% 0.24/0.45 % (12293)------------------------------
% 0.24/0.45 % (12293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (12293)Termination reason: Unknown
% 0.24/0.45 % (12293)Termination phase: Function definition elimination
% 0.24/0.45
% 0.24/0.45 % (12293)Memory used [KB]: 1023
% 0.24/0.45 % (12293)Time elapsed: 0.004 s
% 0.24/0.45 % (12293)Instructions burned: 4 (million)
% 0.24/0.45 % (12293)------------------------------
% 0.24/0.45 % (12293)------------------------------
% 0.24/0.45 % (12294)Instruction limit reached!
% 0.24/0.45 % (12294)------------------------------
% 0.24/0.45 % (12294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (12294)Termination reason: Unknown
% 0.24/0.45 % (12294)Termination phase: Function definition elimination
% 0.24/0.45
% 0.24/0.45 % (12294)Memory used [KB]: 1023
% 0.24/0.45 % (12294)Time elapsed: 0.004 s
% 0.24/0.45 % (12294)Instructions burned: 5 (million)
% 0.24/0.45 % (12294)------------------------------
% 0.24/0.45 % (12294)------------------------------
% 0.24/0.45 % (12287)First to succeed.
% 0.24/0.45 % (12296)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.45 % (12297)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.45 % (12287)Refutation found. Thanks to Tanya!
% 0.24/0.45 % SZS status Theorem for theBenchmark
% 0.24/0.45 % SZS output start Proof for theBenchmark
% 0.24/0.45 thf(type_def_6, type, individuals: $tType).
% 0.24/0.45 thf(func_def_1, type, prop_a: $i > $o).
% 0.24/0.45 thf(func_def_2, type, prop_b: $i > $o).
% 0.24/0.45 thf(func_def_3, type, prop_c: $i > $o).
% 0.24/0.45 thf(func_def_4, type, mfalse: $i > $o).
% 0.24/0.45 thf(func_def_5, type, mtrue: $i > $o).
% 0.24/0.45 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_14, type, individuals: $tType).
% 0.24/0.45 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.24/0.45 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.24/0.45 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.24/0.45 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.24/0.45 thf(func_def_21, type, rel: $i > $i > $o).
% 0.24/0.45 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_27, type, icl_true: $i > $o).
% 0.24/0.45 thf(func_def_28, type, icl_false: $i > $o).
% 0.24/0.45 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.45 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.24/0.45 thf(func_def_31, type, s: $i > $o).
% 0.24/0.45 thf(func_def_32, type, a: $i > $o).
% 0.24/0.45 thf(func_def_48, type, ph1: !>[X0: $tType]:(X0)).
% 0.24/0.45 thf(f336,plain,(
% 0.24/0.45 $false),
% 0.24/0.45 inference(trivial_inequality_removal,[],[f335])).
% 0.24/0.45 thf(f335,plain,(
% 0.24/0.45 ($false = $true)),
% 0.24/0.45 inference(beta_eta_normalization,[],[f334])).
% 0.24/0.45 thf(f334,plain,(
% 0.24/0.45 ($false = ((^[Y0 : $i]: ($true)) @ sK8))),
% 0.24/0.45 inference(sigma_clausification,[],[f311])).
% 0.24/0.45 thf(f311,plain,(
% 0.24/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.24/0.45 inference(not_proxy_clausification,[],[f309])).
% 0.24/0.45 thf(f309,plain,(
% 0.24/0.45 ((~ (!! @ $i @ (^[Y0 : $i]: ($true)))) = $true)),
% 0.24/0.45 inference(boolean_simplification,[],[f308])).
% 0.24/0.45 thf(f308,plain,(
% 0.24/0.45 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))) = $true)),
% 0.24/0.45 inference(boolean_simplification,[],[f307])).
% 0.24/0.45 thf(f307,plain,(
% 0.24/0.45 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0)))))))),
% 0.24/0.45 inference(superposition,[],[f125,f303])).
% 0.24/0.45 thf(f303,plain,(
% 0.24/0.45 ($false = (rel @ sK4 @ sK4))),
% 0.24/0.45 inference(not_proxy_clausification,[],[f282])).
% 0.24/0.45 thf(f282,plain,(
% 0.24/0.45 ($true = (~ (rel @ sK4 @ sK4)))),
% 0.24/0.45 inference(boolean_simplification,[],[f281])).
% 0.24/0.45 thf(f281,plain,(
% 0.24/0.45 ($true = ((rel @ sK4 @ sK4) => $false))),
% 0.24/0.45 inference(forward_demodulation,[],[f278,f170])).
% 0.24/0.45 thf(f170,plain,(
% 0.24/0.45 ((a @ sK4) = $false)),
% 0.24/0.45 inference(boolean_simplification,[],[f169])).
% 0.24/0.45 thf(f169,plain,(
% 0.24/0.45 ($false = ($false | (a @ sK4)))),
% 0.24/0.45 inference(backward_demodulation,[],[f159,f168])).
% 0.24/0.45 thf(f168,plain,(
% 0.24/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.24/0.45 inference(binary_proxy_clausification,[],[f159])).
% 0.24/0.45 thf(f159,plain,(
% 0.24/0.45 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4)))),
% 0.24/0.45 inference(boolean_simplification,[],[f158])).
% 0.24/0.45 thf(f158,plain,(
% 0.24/0.45 ($false = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4))))),
% 0.24/0.45 inference(backward_demodulation,[],[f153,f157])).
% 0.24/0.45 thf(f157,plain,(
% 0.24/0.45 ((rel @ sK3 @ sK4) = $true)),
% 0.24/0.45 inference(binary_proxy_clausification,[],[f153])).
% 0.24/0.45 thf(f153,plain,(
% 0.24/0.45 ($false = ((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4))))),
% 0.24/0.45 inference(beta_eta_normalization,[],[f152])).
% 0.24/0.45 thf(f152,plain,(
% 0.24/0.45 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ sK4))),
% 0.24/0.45 inference(sigma_clausification,[],[f144])).
% 0.24/0.45 thf(f144,plain,(
% 0.24/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))),
% 0.24/0.45 inference(binary_proxy_clausification,[],[f142])).
% 0.24/0.45 thf(f142,plain,(
% 0.24/0.45 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0))))))))),
% 0.24/0.45 inference(boolean_simplification,[],[f141])).
% 0.24/0.45 thf(f141,plain,(
% 0.24/0.45 ($false = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))))),
% 0.24/0.45 inference(backward_demodulation,[],[f138,f140])).
% 0.24/0.45 thf(f140,plain,(
% 0.24/0.45 ($true = (rel @ sK2 @ sK3))),
% 0.24/0.45 inference(binary_proxy_clausification,[],[f138])).
% 0.24/0.45 thf(f138,plain,(
% 0.24/0.45 ($false = ((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))))),
% 0.24/0.45 inference(beta_eta_normalization,[],[f137])).
% 0.24/0.45 thf(f137,plain,(
% 0.24/0.45 ($false = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (a @ Y1))))))))) @ sK3))),
% 0.24/0.45 inference(sigma_clausification,[],[f136])).
% 0.24/0.45 thf(f136,plain,(
% 0.24/0.45 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (a @ Y1)))))))))) = $false)),
% 0.24/0.45 inference(beta_eta_normalization,[],[f135])).
% 0.24/0.45 thf(f135,plain,(
% 0.24/0.45 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2))))))))))) @ sK2))),
% 0.24/0.45 inference(sigma_clausification,[],[f132])).
% 0.24/0.45 thf(f132,plain,(
% 0.24/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2)))))))))))))),
% 0.24/0.45 inference(not_proxy_clausification,[],[f119])).
% 0.24/0.45 thf(f119,plain,(
% 0.24/0.45 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2))))))))))))))),
% 0.24/0.45 inference(beta_eta_normalization,[],[f116])).
% 0.24/0.45 thf(f116,plain,(
% 0.24/0.45 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s))))) = $true)),
% 0.24/0.45 inference(definition_unfolding,[],[f82,f115,f111,f114,f99,f114,f99,f108,f114,f99,f108])).
% 0.24/0.45 thf(f108,plain,(
% 0.24/0.45 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.24/0.45 inference(definition_unfolding,[],[f79,f80])).
% 0.24/0.45 thf(f80,plain,(
% 0.24/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f73])).
% 0.24/0.45 thf(f73,plain,(
% 0.24/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.24/0.45 inference(fool_elimination,[],[f72])).
% 0.24/0.45 thf(f72,plain,(
% 0.24/0.45 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.24/0.45 inference(rectify,[],[f8])).
% 0.24/0.45 thf(f8,axiom,(
% 0.24/0.45 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.24/0.45 thf(f79,plain,(
% 0.24/0.45 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.24/0.45 inference(cnf_transformation,[],[f39])).
% 0.24/0.45 thf(f39,plain,(
% 0.24/0.45 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.24/0.45 inference(fool_elimination,[],[f38])).
% 0.24/0.45 thf(f38,plain,(
% 0.24/0.45 (icl_atom = (^[X0 : $i > $o] : (mbox @ rel @ X0)))),
% 0.24/0.45 inference(rectify,[],[f16])).
% 0.24/0.45 thf(f16,axiom,(
% 0.24/0.45 (icl_atom = (^[X5 : $i > $o] : (mbox @ rel @ X5)))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_atom)).
% 0.24/0.45 thf(f99,plain,(
% 0.24/0.45 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.24/0.45 inference(cnf_transformation,[],[f57])).
% 0.24/0.45 thf(f57,plain,(
% 0.24/0.45 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.24/0.45 inference(fool_elimination,[],[f56])).
% 0.24/0.45 thf(f56,plain,(
% 0.24/0.45 (icl_princ = (^[X0 : $i > $o] : (X0)))),
% 0.24/0.45 inference(rectify,[],[f17])).
% 0.24/0.45 thf(f17,axiom,(
% 0.24/0.45 (icl_princ = (^[X5 : $i > $o] : (X5)))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_princ)).
% 0.24/0.45 thf(f114,plain,(
% 0.24/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.24/0.45 inference(definition_unfolding,[],[f101,f80,f91])).
% 0.24/0.45 thf(f91,plain,(
% 0.24/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f67])).
% 0.24/0.45 thf(f67,plain,(
% 0.24/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.45 inference(fool_elimination,[],[f66])).
% 0.24/0.45 thf(f66,plain,(
% 0.24/0.45 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.24/0.45 inference(rectify,[],[f4])).
% 0.24/0.45 thf(f4,axiom,(
% 0.24/0.45 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.24/0.45 thf(f101,plain,(
% 0.24/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f76])).
% 0.24/0.45 thf(f76,plain,(
% 0.24/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.24/0.45 inference(fool_elimination,[],[f75])).
% 0.24/0.45 thf(f75,plain,(
% 0.24/0.45 (icl_says = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))))),
% 0.24/0.45 inference(rectify,[],[f23])).
% 0.24/0.45 thf(f23,axiom,(
% 0.24/0.45 (icl_says = (^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_says)).
% 0.24/0.45 thf(f111,plain,(
% 0.24/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.24/0.45 inference(definition_unfolding,[],[f105,f80,f106])).
% 0.24/0.45 thf(f106,plain,(
% 0.24/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.24/0.45 inference(definition_unfolding,[],[f89,f91,f83])).
% 0.24/0.45 thf(f83,plain,(
% 0.24/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f53])).
% 0.24/0.45 thf(f53,plain,(
% 0.24/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.24/0.45 inference(fool_elimination,[],[f52])).
% 0.24/0.45 thf(f52,plain,(
% 0.24/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.24/0.45 inference(rectify,[],[f3])).
% 0.24/0.45 thf(f3,axiom,(
% 0.24/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.24/0.45 thf(f89,plain,(
% 0.24/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.24/0.45 inference(cnf_transformation,[],[f65])).
% 0.24/0.45 thf(f65,plain,(
% 0.24/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.24/0.45 inference(fool_elimination,[],[f64])).
% 0.24/0.45 thf(f64,plain,(
% 0.24/0.45 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.24/0.45 inference(rectify,[],[f6])).
% 0.24/0.45 thf(f6,axiom,(
% 0.24/0.45 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.24/0.45 thf(f105,plain,(
% 0.24/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f33])).
% 0.24/0.45 thf(f33,plain,(
% 0.24/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.24/0.45 inference(fool_elimination,[],[f32])).
% 0.24/0.45 thf(f32,plain,(
% 0.24/0.45 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.24/0.45 inference(rectify,[],[f20])).
% 0.24/0.45 thf(f20,axiom,(
% 0.24/0.45 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_impl)).
% 0.24/0.45 thf(f115,plain,(
% 0.24/0.45 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.24/0.45 inference(definition_unfolding,[],[f103,f86])).
% 0.24/0.45 thf(f86,plain,(
% 0.24/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.45 inference(cnf_transformation,[],[f71])).
% 0.24/0.45 thf(f71,plain,(
% 0.24/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.45 inference(fool_elimination,[],[f70])).
% 0.24/0.45 thf(f70,plain,(
% 0.24/0.45 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.24/0.45 inference(rectify,[],[f12])).
% 0.24/0.45 thf(f12,axiom,(
% 0.24/0.45 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.24/0.45 thf(f103,plain,(
% 0.24/0.45 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.24/0.45 inference(cnf_transformation,[],[f60])).
% 0.24/0.45 thf(f60,plain,(
% 0.24/0.45 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.24/0.45 inference(fool_elimination,[],[f24])).
% 0.24/0.45 thf(f24,axiom,(
% 0.24/0.45 ((^[X0 : $i > $o] : (mvalid @ X0)) = iclval)),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_s4_valid)).
% 0.24/0.45 thf(f82,plain,(
% 0.24/0.45 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))))),
% 0.24/0.45 inference(cnf_transformation,[],[f41])).
% 0.24/0.45 thf(f41,plain,(
% 0.24/0.45 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))))),
% 0.24/0.45 inference(fool_elimination,[],[f40])).
% 0.24/0.45 thf(f40,plain,(
% 0.24/0.45 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.45 inference(rectify,[],[f28])).
% 0.24/0.45 thf(f28,negated_conjecture,(
% 0.24/0.45 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.45 inference(negated_conjecture,[],[f27])).
% 0.24/0.45 thf(f27,conjecture,(
% 0.24/0.45 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',idem)).
% 0.24/0.45 thf(f278,plain,(
% 0.24/0.45 ($true = ((rel @ sK4 @ sK4) => (a @ sK4)))),
% 0.24/0.45 inference(boolean_simplification,[],[f269])).
% 0.24/0.45 thf(f269,plain,(
% 0.24/0.45 ($true = ((rel @ sK4 @ sK4) => ($false | (a @ sK4))))),
% 0.24/0.45 inference(superposition,[],[f260,f168])).
% 0.24/0.45 thf(f260,plain,(
% 0.24/0.45 ( ! [X1 : $i] : ((((rel @ sK4 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1))) = $true)) )),
% 0.24/0.45 inference(beta_eta_normalization,[],[f258])).
% 0.24/0.45 thf(f258,plain,(
% 0.24/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ X1) = $true)) )),
% 0.24/0.45 inference(pi_clausification,[],[f172])).
% 0.24/0.45 thf(f172,plain,(
% 0.24/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))),
% 0.24/0.45 inference(boolean_simplification,[],[f171])).
% 0.24/0.45 thf(f171,plain,(
% 0.24/0.45 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | $false))),
% 0.24/0.45 inference(backward_demodulation,[],[f165,f170])).
% 0.24/0.45 thf(f165,plain,(
% 0.24/0.45 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (a @ sK4)) = $true)),
% 0.24/0.45 inference(boolean_simplification,[],[f163])).
% 0.24/0.45 thf(f163,plain,(
% 0.24/0.45 ($true = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (a @ sK4))))),
% 0.24/0.45 inference(superposition,[],[f155,f157])).
% 0.24/0.45 thf(f155,plain,(
% 0.24/0.45 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (a @ X1))))) )),
% 0.24/0.45 inference(beta_eta_normalization,[],[f154])).
% 0.24/0.45 thf(f154,plain,(
% 0.24/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))) @ X1))) )),
% 0.24/0.45 inference(pi_clausification,[],[f149])).
% 0.24/0.45 thf(f149,plain,(
% 0.24/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0))))))),
% 0.24/0.45 inference(not_proxy_clausification,[],[f146])).
% 0.24/0.45 thf(f146,plain,(
% 0.24/0.45 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))),
% 0.24/0.45 inference(boolean_simplification,[],[f145])).
% 0.24/0.45 thf(f145,plain,(
% 0.24/0.45 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0))))))))),
% 0.24/0.45 inference(backward_demodulation,[],[f142,f144])).
% 0.24/0.45 thf(f125,plain,(
% 0.24/0.45 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0)))))))) )),
% 0.24/0.45 inference(beta_eta_normalization,[],[f124])).
% 0.24/0.45 thf(f124,plain,(
% 0.24/0.45 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 0.24/0.45 inference(pi_clausification,[],[f123])).
% 0.24/0.45 thf(f123,plain,(
% 0.24/0.45 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 0.24/0.45 inference(beta_eta_normalization,[],[f122])).
% 0.24/0.45 thf(f122,plain,(
% 0.24/0.45 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1))) )),
% 0.24/0.45 inference(pi_clausification,[],[f121])).
% 0.24/0.45 thf(f121,plain,(
% 0.24/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2)))))))))))),
% 0.24/0.45 inference(beta_eta_normalization,[],[f117])).
% 0.24/0.45 thf(f117,plain,(
% 0.24/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0) @ Y0)))))),
% 0.24/0.45 inference(definition_unfolding,[],[f88,f86,f106,f80])).
% 0.24/0.45 thf(f88,plain,(
% 0.24/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))),
% 0.24/0.45 inference(cnf_transformation,[],[f37])).
% 0.24/0.45 thf(f37,plain,(
% 0.24/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))),
% 0.24/0.45 inference(fool_elimination,[],[f36])).
% 0.24/0.45 thf(f36,plain,(
% 0.24/0.45 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.24/0.45 inference(rectify,[],[f25])).
% 0.24/0.45 thf(f25,axiom,(
% 0.24/0.45 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.24/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 0.24/0.45 % SZS output end Proof for theBenchmark
% 0.24/0.45 % (12287)------------------------------
% 0.24/0.45 % (12287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (12287)Termination reason: Refutation
% 0.24/0.45
% 0.24/0.45 % (12287)Memory used [KB]: 5884
% 0.24/0.45 % (12287)Time elapsed: 0.032 s
% 0.24/0.45 % (12287)Instructions burned: 42 (million)
% 0.24/0.45 % (12287)------------------------------
% 0.24/0.45 % (12287)------------------------------
% 0.24/0.45 % (12275)Success in time 0.073 s
% 0.24/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------