TSTP Solution File: SWV432^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV432^2 : 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 : n018.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 06:01:14 EDT 2024
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV432^2 : TPTP v8.2.0. Released v3.6.0.
% 0.08/0.15 % 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 : n018.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 06:57:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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
% 0.16/0.39 % (7315)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (7316)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)
% 0.16/0.39 % (7318)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (7317)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)
% 0.16/0.39 % (7320)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)
% 0.16/0.39 % (7319)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)
% 0.16/0.39 % (7321)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (7322)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)
% 0.16/0.39 % (7318)Instruction limit reached!
% 0.16/0.39 % (7318)------------------------------
% 0.16/0.39 % (7318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (7318)Termination reason: Unknown
% 0.16/0.39 % (7319)Instruction limit reached!
% 0.16/0.39 % (7319)------------------------------
% 0.16/0.39 % (7319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (7318)Termination phase: Property scanning
% 0.16/0.39
% 0.16/0.39 % (7318)Memory used [KB]: 1023
% 0.16/0.39 % (7318)Time elapsed: 0.004 s
% 0.16/0.39 % (7318)Instructions burned: 3 (million)
% 0.16/0.39 % (7318)------------------------------
% 0.16/0.39 % (7318)------------------------------
% 0.16/0.39 % (7319)Termination reason: Unknown
% 0.16/0.39 % (7319)Termination phase: Property scanning
% 0.16/0.39
% 0.16/0.39 % (7319)Memory used [KB]: 1023
% 0.16/0.39 % (7319)Time elapsed: 0.003 s
% 0.16/0.39 % (7319)Instructions burned: 3 (million)
% 0.16/0.39 % (7319)------------------------------
% 0.16/0.39 % (7319)------------------------------
% 0.16/0.39 % (7322)Instruction limit reached!
% 0.16/0.39 % (7322)------------------------------
% 0.16/0.39 % (7322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (7322)Termination reason: Unknown
% 0.16/0.39 % (7322)Termination phase: Property scanning
% 0.16/0.39
% 0.16/0.39 % (7322)Memory used [KB]: 1023
% 0.16/0.39 % (7322)Time elapsed: 0.004 s
% 0.16/0.39 % (7322)Instructions burned: 3 (million)
% 0.16/0.39 % (7322)------------------------------
% 0.16/0.39 % (7322)------------------------------
% 0.16/0.39 % (7316)Instruction limit reached!
% 0.16/0.39 % (7316)------------------------------
% 0.16/0.39 % (7316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (7316)Termination reason: Unknown
% 0.16/0.39 % (7316)Termination phase: Property scanning
% 0.16/0.39
% 0.16/0.39 % (7316)Memory used [KB]: 1023
% 0.16/0.39 % (7316)Time elapsed: 0.005 s
% 0.16/0.39 % (7316)Instructions burned: 5 (million)
% 0.16/0.39 % (7316)------------------------------
% 0.16/0.39 % (7316)------------------------------
% 0.16/0.39 % (7320)Refutation not found, incomplete strategy
% 0.16/0.39 % (7320)------------------------------
% 0.16/0.39 % (7320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (7320)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % (7320)Memory used [KB]: 5500
% 0.16/0.39 % (7320)Time elapsed: 0.006 s
% 0.16/0.39 % (7320)Instructions burned: 6 (million)
% 0.16/0.39 % (7320)------------------------------
% 0.16/0.39 % (7320)------------------------------
% 0.16/0.40 % (7321)Instruction limit reached!
% 0.16/0.40 % (7321)------------------------------
% 0.16/0.40 % (7321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (7321)Termination reason: Unknown
% 0.16/0.40 % (7321)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (7321)Memory used [KB]: 5628
% 0.16/0.40 % (7321)Time elapsed: 0.013 s
% 0.16/0.40 % (7321)Instructions burned: 18 (million)
% 0.16/0.40 % (7321)------------------------------
% 0.16/0.40 % (7321)------------------------------
% 0.23/0.41 % (7323)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)
% 0.23/0.41 % (7324)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)
% 0.23/0.41 % (7325)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)
% 0.23/0.41 % (7326)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)
% 0.23/0.41 % (7317)Instruction limit reached!
% 0.23/0.41 % (7317)------------------------------
% 0.23/0.41 % (7317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (7317)Termination reason: Unknown
% 0.23/0.41 % (7317)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (7317)Memory used [KB]: 5756
% 0.23/0.41 % (7317)Time elapsed: 0.019 s
% 0.23/0.41 % (7317)Instructions burned: 28 (million)
% 0.23/0.41 % (7317)------------------------------
% 0.23/0.41 % (7317)------------------------------
% 0.23/0.41 % (7325)Instruction limit reached!
% 0.23/0.41 % (7325)------------------------------
% 0.23/0.41 % (7325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (7325)Termination reason: Unknown
% 0.23/0.41 % (7325)Termination phase: Property scanning
% 0.23/0.41
% 0.23/0.41 % (7325)Memory used [KB]: 1023
% 0.23/0.41 % (7325)Time elapsed: 0.004 s
% 0.23/0.41 % (7325)Instructions burned: 4 (million)
% 0.23/0.41 % (7325)------------------------------
% 0.23/0.41 % (7325)------------------------------
% 0.23/0.41 % (7327)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.41 % (7327)Instruction limit reached!
% 0.23/0.41 % (7327)------------------------------
% 0.23/0.41 % (7327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (7327)Termination reason: Unknown
% 0.23/0.41 % (7327)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (7327)Memory used [KB]: 1023
% 0.23/0.41 % (7327)Time elapsed: 0.006 s
% 0.23/0.41 % (7327)Instructions burned: 7 (million)
% 0.23/0.41 % (7327)------------------------------
% 0.23/0.41 % (7327)------------------------------
% 0.23/0.42 % (7324)Refutation not found, incomplete strategy
% 0.23/0.42 % (7324)------------------------------
% 0.23/0.42 % (7324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (7324)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.42
% 0.23/0.42
% 0.23/0.42 % (7324)Memory used [KB]: 5628
% 0.23/0.42 % (7324)Time elapsed: 0.010 s
% 0.23/0.42 % (7324)Instructions burned: 13 (million)
% 0.23/0.42 % (7324)------------------------------
% 0.23/0.42 % (7324)------------------------------
% 0.23/0.42 % (7329)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42 % (7330)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)
% 0.23/0.42 % (7331)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)
% 0.23/0.42 % (7330)Instruction limit reached!
% 0.23/0.42 % (7330)------------------------------
% 0.23/0.42 % (7330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (7330)Termination reason: Unknown
% 0.23/0.42 % (7330)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (7330)Memory used [KB]: 1023
% 0.23/0.42 % (7330)Time elapsed: 0.004 s
% 0.23/0.42 % (7330)Instructions burned: 3 (million)
% 0.23/0.42 % (7330)------------------------------
% 0.23/0.42 % (7330)------------------------------
% 0.23/0.43 % (7329)Instruction limit reached!
% 0.23/0.43 % (7329)------------------------------
% 0.23/0.43 % (7329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (7329)Termination reason: Unknown
% 0.23/0.43 % (7329)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (7329)Memory used [KB]: 5628
% 0.23/0.43 % (7329)Time elapsed: 0.011 s
% 0.23/0.43 % (7329)Instructions burned: 16 (million)
% 0.23/0.43 % (7329)------------------------------
% 0.23/0.43 % (7329)------------------------------
% 0.23/0.43 % (7331)Instruction limit reached!
% 0.23/0.43 % (7331)------------------------------
% 0.23/0.43 % (7331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (7331)Termination reason: Unknown
% 0.23/0.43 % (7331)Termination phase: Preprocessing 1
% 0.23/0.43
% 0.23/0.43 % (7331)Memory used [KB]: 1023
% 0.23/0.43 % (7331)Time elapsed: 0.004 s
% 0.23/0.43 % (7331)Instructions burned: 4 (million)
% 0.23/0.43 % (7331)------------------------------
% 0.23/0.43 % (7331)------------------------------
% 0.23/0.43 % (7323)Instruction limit reached!
% 0.23/0.43 % (7323)------------------------------
% 0.23/0.43 % (7323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (7323)Termination reason: Unknown
% 0.23/0.43 % (7323)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (7323)Memory used [KB]: 5884
% 0.23/0.43 % (7323)Time elapsed: 0.023 s
% 0.23/0.43 % (7323)Instructions burned: 37 (million)
% 0.23/0.43 % (7323)------------------------------
% 0.23/0.43 % (7323)------------------------------
% 0.23/0.43 % (7332)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)
% 0.23/0.43 % (7326)First to succeed.
% 0.23/0.43 % (7333)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)
% 0.23/0.43 % (7332)Instruction limit reached!
% 0.23/0.43 % (7332)------------------------------
% 0.23/0.43 % (7332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (7332)Termination reason: Unknown
% 0.23/0.43 % (7332)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (7332)Memory used [KB]: 5500
% 0.23/0.43 % (7332)Time elapsed: 0.006 s
% 0.23/0.43 % (7332)Instructions burned: 8 (million)
% 0.23/0.43 % (7332)------------------------------
% 0.23/0.43 % (7332)------------------------------
% 0.23/0.43 % (7333)Instruction limit reached!
% 0.23/0.43 % (7333)------------------------------
% 0.23/0.43 % (7333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (7333)Termination reason: Unknown
% 0.23/0.43 % (7333)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (7333)Memory used [KB]: 1023
% 0.23/0.43 % (7333)Time elapsed: 0.004 s
% 0.23/0.43 % (7333)Instructions burned: 4 (million)
% 0.23/0.43 % (7333)------------------------------
% 0.23/0.43 % (7333)------------------------------
% 0.23/0.44 % (7326)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for theBenchmark
% 0.23/0.44 % SZS output start Proof for theBenchmark
% 0.23/0.44 thf(type_def_6, type, individuals: $tType).
% 0.23/0.44 thf(func_def_1, type, prop_a: $i > $o).
% 0.23/0.44 thf(func_def_2, type, prop_b: $i > $o).
% 0.23/0.44 thf(func_def_3, type, prop_c: $i > $o).
% 0.23/0.44 thf(func_def_4, type, mfalse: $i > $o).
% 0.23/0.44 thf(func_def_5, type, mtrue: $i > $o).
% 0.23/0.44 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_14, type, individuals: $tType).
% 0.23/0.44 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.23/0.44 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.44 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.44 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.23/0.44 thf(func_def_21, type, rel: $i > $i > $o).
% 0.23/0.44 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_27, type, icl_true: $i > $o).
% 0.23/0.44 thf(func_def_28, type, icl_false: $i > $o).
% 0.23/0.44 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.23/0.44 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.44 thf(func_def_32, type, a: $i > $o).
% 0.23/0.44 thf(func_def_33, type, b: $i > $o).
% 0.23/0.44 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)).
% 0.23/0.44 thf(f312,plain,(
% 0.23/0.44 $false),
% 0.23/0.44 inference(trivial_inequality_removal,[],[f311])).
% 0.23/0.44 thf(f311,plain,(
% 0.23/0.44 ($true = $false)),
% 0.23/0.44 inference(beta_eta_normalization,[],[f310])).
% 0.23/0.44 thf(f310,plain,(
% 0.23/0.44 ($false = ((^[Y0 : $i]: ($true)) @ sK5))),
% 0.23/0.44 inference(sigma_clausification,[],[f299])).
% 0.23/0.44 thf(f299,plain,(
% 0.23/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.23/0.44 inference(not_proxy_clausification,[],[f297])).
% 0.23/0.44 thf(f297,plain,(
% 0.23/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ($true)))))),
% 0.23/0.44 inference(boolean_simplification,[],[f296])).
% 0.23/0.44 thf(f296,plain,(
% 0.23/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))))),
% 0.23/0.44 inference(boolean_simplification,[],[f295])).
% 0.23/0.44 thf(f295,plain,(
% 0.23/0.44 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0)))))))),
% 0.23/0.44 inference(superposition,[],[f130,f285])).
% 0.23/0.44 thf(f285,plain,(
% 0.23/0.44 ((rel @ sK4 @ sK4) = $false)),
% 0.23/0.44 inference(not_proxy_clausification,[],[f274])).
% 0.23/0.44 thf(f274,plain,(
% 0.23/0.44 ($true = (~ (rel @ sK4 @ sK4)))),
% 0.23/0.44 inference(boolean_simplification,[],[f273])).
% 0.23/0.44 thf(f273,plain,(
% 0.23/0.44 ($true = ((rel @ sK4 @ sK4) => $false))),
% 0.23/0.44 inference(boolean_simplification,[],[f272])).
% 0.23/0.44 thf(f272,plain,(
% 0.23/0.44 ($true = ((rel @ sK4 @ sK4) => (~ $true)))),
% 0.23/0.44 inference(forward_demodulation,[],[f266,f196])).
% 0.23/0.44 thf(f196,plain,(
% 0.23/0.44 ($true = (a @ sK4))),
% 0.23/0.44 inference(not_proxy_clausification,[],[f174])).
% 0.23/0.44 thf(f174,plain,(
% 0.23/0.44 ((~ (a @ sK4)) = $false)),
% 0.23/0.44 inference(binary_proxy_clausification,[],[f161])).
% 0.23/0.44 thf(f161,plain,(
% 0.23/0.44 ($false = ((b @ sK4) | (~ (a @ sK4))))),
% 0.23/0.44 inference(binary_proxy_clausification,[],[f158])).
% 0.23/0.44 thf(f158,plain,(
% 0.23/0.44 ($false = ((rel @ sK3 @ sK4) => ((b @ sK4) | (~ (a @ sK4)))))),
% 0.23/0.44 inference(beta_eta_normalization,[],[f157])).
% 0.23/0.44 thf(f157,plain,(
% 0.23/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ sK4))),
% 0.23/0.44 inference(sigma_clausification,[],[f149])).
% 0.23/0.44 thf(f149,plain,(
% 0.23/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))))),
% 0.23/0.44 inference(binary_proxy_clausification,[],[f147])).
% 0.23/0.44 thf(f147,plain,(
% 0.23/0.44 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))))))),
% 0.23/0.44 inference(boolean_simplification,[],[f146])).
% 0.23/0.44 thf(f146,plain,(
% 0.23/0.44 ($false = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))))))),
% 0.23/0.44 inference(backward_demodulation,[],[f143,f145])).
% 0.23/0.44 thf(f145,plain,(
% 0.23/0.44 ($true = (rel @ sK2 @ sK3))),
% 0.23/0.44 inference(binary_proxy_clausification,[],[f143])).
% 0.23/0.44 thf(f143,plain,(
% 0.23/0.44 ($false = ((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))))))),
% 0.23/0.44 inference(beta_eta_normalization,[],[f142])).
% 0.23/0.44 thf(f142,plain,(
% 0.23/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (b @ Y1))))))))) @ sK3))),
% 0.23/0.44 inference(sigma_clausification,[],[f141])).
% 0.23/0.44 thf(f141,plain,(
% 0.23/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (b @ Y1)))))))))))),
% 0.23/0.44 inference(beta_eta_normalization,[],[f140])).
% 0.23/0.44 thf(f140,plain,(
% 0.23/0.44 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2))))))))))) @ sK2))),
% 0.23/0.44 inference(sigma_clausification,[],[f137])).
% 0.23/0.44 thf(f137,plain,(
% 0.23/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2)))))))))))))),
% 0.23/0.44 inference(not_proxy_clausification,[],[f125])).
% 0.23/0.44 thf(f125,plain,(
% 0.23/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (~ (a @ Y3)))))) | (b @ Y2))))))))))))))),
% 0.23/0.44 inference(beta_eta_normalization,[],[f122])).
% 0.23/0.44 thf(f122,plain,(
% 0.23/0.44 ($true = (~ ((^[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)) @ b) @ ((^[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]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b))) @ ((^[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]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b))))))),
% 0.23/0.44 inference(definition_unfolding,[],[f98,f119,f115,f118,f94,f120,f94,f94,f120,f94,f94])).
% 0.23/0.44 thf(f120,plain,(
% 0.23/0.44 (icl_impl_princ = (^[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))))))),
% 0.23/0.44 inference(definition_unfolding,[],[f96,f90,f110])).
% 0.23/0.44 thf(f110,plain,(
% 0.23/0.44 (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)))))),
% 0.23/0.44 inference(definition_unfolding,[],[f109,f108,f106])).
% 0.23/0.44 thf(f106,plain,(
% 0.23/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f36])).
% 0.23/0.44 thf(f36,plain,(
% 0.23/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.44 inference(fool_elimination,[],[f35])).
% 0.23/0.44 thf(f35,plain,(
% 0.23/0.44 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.23/0.44 inference(rectify,[],[f3])).
% 0.23/0.44 thf(f3,axiom,(
% 0.23/0.44 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.23/0.44 thf(f108,plain,(
% 0.23/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f48])).
% 0.23/0.44 thf(f48,plain,(
% 0.23/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.23/0.44 inference(fool_elimination,[],[f47])).
% 0.23/0.44 thf(f47,plain,(
% 0.23/0.44 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.23/0.44 inference(rectify,[],[f4])).
% 0.23/0.44 thf(f4,axiom,(
% 0.23/0.44 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.23/0.44 thf(f109,plain,(
% 0.23/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.44 inference(cnf_transformation,[],[f34])).
% 0.23/0.44 thf(f34,plain,(
% 0.23/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.44 inference(fool_elimination,[],[f33])).
% 0.23/0.44 thf(f33,plain,(
% 0.23/0.44 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.23/0.44 inference(rectify,[],[f6])).
% 0.23/0.44 thf(f6,axiom,(
% 0.23/0.44 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.23/0.44 thf(f90,plain,(
% 0.23/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f56])).
% 0.23/0.44 thf(f56,plain,(
% 0.23/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.44 inference(fool_elimination,[],[f55])).
% 0.23/0.44 thf(f55,plain,(
% 0.23/0.44 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.23/0.44 inference(rectify,[],[f8])).
% 0.23/0.44 thf(f8,axiom,(
% 0.23/0.44 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.23/0.44 thf(f96,plain,(
% 0.23/0.44 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f32])).
% 0.23/0.44 thf(f32,plain,(
% 0.23/0.44 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.44 inference(fool_elimination,[],[f31])).
% 0.23/0.44 thf(f31,plain,(
% 0.23/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl_princ)),
% 0.23/0.44 inference(rectify,[],[f27])).
% 0.23/0.44 thf(f27,axiom,(
% 0.23/0.44 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl_princ)),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_impl_princ)).
% 0.23/0.44 thf(f94,plain,(
% 0.23/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.23/0.44 inference(cnf_transformation,[],[f61])).
% 0.23/0.44 thf(f61,plain,(
% 0.23/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.23/0.44 inference(fool_elimination,[],[f60])).
% 0.23/0.44 thf(f60,plain,(
% 0.23/0.44 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.23/0.44 inference(rectify,[],[f17])).
% 0.23/0.44 thf(f17,axiom,(
% 0.23/0.44 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_princ)).
% 0.23/0.44 thf(f118,plain,(
% 0.23/0.44 (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))))))),
% 0.23/0.44 inference(definition_unfolding,[],[f85,f90,f108])).
% 0.23/0.44 thf(f85,plain,(
% 0.23/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f75])).
% 0.23/0.44 thf(f75,plain,(
% 0.23/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.23/0.44 inference(fool_elimination,[],[f74])).
% 0.23/0.44 thf(f74,plain,(
% 0.23/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.23/0.44 inference(rectify,[],[f23])).
% 0.23/0.44 thf(f23,axiom,(
% 0.23/0.44 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_says)).
% 0.23/0.44 thf(f115,plain,(
% 0.23/0.44 (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))))))),
% 0.23/0.44 inference(definition_unfolding,[],[f104,f90,f110])).
% 0.23/0.44 thf(f104,plain,(
% 0.23/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f81])).
% 0.23/0.44 thf(f81,plain,(
% 0.23/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.44 inference(fool_elimination,[],[f80])).
% 0.23/0.44 thf(f80,plain,(
% 0.23/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl)),
% 0.23/0.44 inference(rectify,[],[f20])).
% 0.23/0.44 thf(f20,axiom,(
% 0.23/0.44 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl)),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_impl)).
% 0.23/0.44 thf(f119,plain,(
% 0.23/0.44 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.23/0.44 inference(definition_unfolding,[],[f97,f84])).
% 0.23/0.44 thf(f84,plain,(
% 0.23/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.44 inference(cnf_transformation,[],[f77])).
% 0.23/0.44 thf(f77,plain,(
% 0.23/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.44 inference(fool_elimination,[],[f76])).
% 0.23/0.44 thf(f76,plain,(
% 0.23/0.44 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.23/0.44 inference(rectify,[],[f12])).
% 0.23/0.44 thf(f12,axiom,(
% 0.23/0.44 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.23/0.44 thf(f97,plain,(
% 0.23/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.23/0.44 inference(cnf_transformation,[],[f37])).
% 0.23/0.44 thf(f37,plain,(
% 0.23/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.23/0.44 inference(fool_elimination,[],[f24])).
% 0.23/0.44 thf(f24,axiom,(
% 0.23/0.44 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_s4_valid)).
% 0.23/0.44 thf(f98,plain,(
% 0.23/0.44 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))))),
% 0.23/0.44 inference(cnf_transformation,[],[f40])).
% 0.23/0.44 thf(f40,plain,(
% 0.23/0.44 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))))),
% 0.23/0.44 inference(fool_elimination,[],[f39])).
% 0.23/0.44 thf(f39,plain,(
% 0.23/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.23/0.44 inference(rectify,[],[f29])).
% 0.23/0.44 thf(f29,negated_conjecture,(
% 0.23/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.23/0.44 inference(negated_conjecture,[],[f28])).
% 0.23/0.44 thf(f28,conjecture,(
% 0.23/0.44 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',handoff)).
% 0.23/0.44 thf(f266,plain,(
% 0.23/0.44 ($true = ((rel @ sK4 @ sK4) => (~ (a @ sK4))))),
% 0.23/0.44 inference(boolean_simplification,[],[f260])).
% 0.23/0.44 thf(f260,plain,(
% 0.23/0.44 ($true = ((rel @ sK4 @ sK4) => ($false | (~ (a @ sK4)))))),
% 0.23/0.44 inference(superposition,[],[f249,f177])).
% 0.23/0.44 thf(f177,plain,(
% 0.23/0.44 ($false = (b @ sK4))),
% 0.23/0.44 inference(boolean_simplification,[],[f176])).
% 0.23/0.44 thf(f176,plain,(
% 0.23/0.44 ($false = ((b @ sK4) | $false))),
% 0.23/0.44 inference(backward_demodulation,[],[f161,f174])).
% 0.23/0.44 thf(f249,plain,(
% 0.23/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK4 @ X1) => ((b @ X1) | (~ (a @ X1)))))) )),
% 0.23/0.44 inference(beta_eta_normalization,[],[f245])).
% 0.23/0.44 thf(f245,plain,(
% 0.23/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ X1))) )),
% 0.23/0.44 inference(pi_clausification,[],[f179])).
% 0.23/0.44 thf(f179,plain,(
% 0.23/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))))),
% 0.23/0.44 inference(boolean_simplification,[],[f178])).
% 0.23/0.44 thf(f178,plain,(
% 0.23/0.44 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | $false))),
% 0.23/0.44 inference(backward_demodulation,[],[f172,f177])).
% 0.23/0.44 thf(f172,plain,(
% 0.23/0.44 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ sK4)))),
% 0.23/0.44 inference(boolean_simplification,[],[f170])).
% 0.23/0.44 thf(f170,plain,(
% 0.23/0.44 ($true = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ sK4))))),
% 0.23/0.44 inference(superposition,[],[f160,f162])).
% 0.23/0.44 thf(f162,plain,(
% 0.23/0.44 ($true = (rel @ sK3 @ sK4))),
% 0.23/0.44 inference(binary_proxy_clausification,[],[f158])).
% 0.23/0.44 thf(f160,plain,(
% 0.23/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))) | (b @ X1))))) )),
% 0.23/0.44 inference(beta_eta_normalization,[],[f159])).
% 0.23/0.44 thf(f159,plain,(
% 0.23/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))) @ X1))) )),
% 0.23/0.44 inference(pi_clausification,[],[f154])).
% 0.23/0.44 thf(f154,plain,(
% 0.23/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))))),
% 0.23/0.44 inference(not_proxy_clausification,[],[f151])).
% 0.23/0.44 thf(f151,plain,(
% 0.23/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0)))))) = $false)),
% 0.23/0.44 inference(boolean_simplification,[],[f150])).
% 0.23/0.44 thf(f150,plain,(
% 0.23/0.44 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))) | (b @ Y0))))))))),
% 0.23/0.44 inference(backward_demodulation,[],[f147,f149])).
% 0.23/0.44 thf(f130,plain,(
% 0.23/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0)))))))) )),
% 0.23/0.44 inference(beta_eta_normalization,[],[f129])).
% 0.23/0.44 thf(f129,plain,(
% 0.23/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 0.23/0.44 inference(pi_clausification,[],[f128])).
% 0.23/0.44 thf(f128,plain,(
% 0.23/0.44 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 0.23/0.44 inference(beta_eta_normalization,[],[f127])).
% 0.23/0.44 thf(f127,plain,(
% 0.23/0.44 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1))) )),
% 0.23/0.44 inference(pi_clausification,[],[f126])).
% 0.23/0.44 thf(f126,plain,(
% 0.23/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2)))))))))))),
% 0.23/0.44 inference(beta_eta_normalization,[],[f123])).
% 0.23/0.44 thf(f123,plain,(
% 0.23/0.44 ($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 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0) @ Y0)))))),
% 0.23/0.44 inference(definition_unfolding,[],[f103,f84,f110,f90])).
% 0.23/0.44 thf(f103,plain,(
% 0.23/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))),
% 0.23/0.44 inference(cnf_transformation,[],[f63])).
% 0.23/0.44 thf(f63,plain,(
% 0.23/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))),
% 0.23/0.44 inference(fool_elimination,[],[f62])).
% 0.23/0.44 thf(f62,plain,(
% 0.23/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.23/0.44 inference(rectify,[],[f25])).
% 0.23/0.44 thf(f25,axiom,(
% 0.23/0.44 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.23/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 0.23/0.44 % SZS output end Proof for theBenchmark
% 0.23/0.44 % (7326)------------------------------
% 0.23/0.44 % (7326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (7326)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (7326)Memory used [KB]: 5884
% 0.23/0.44 % (7326)Time elapsed: 0.029 s
% 0.23/0.44 % (7326)Instructions burned: 36 (million)
% 0.23/0.44 % (7326)------------------------------
% 0.23/0.44 % (7326)------------------------------
% 0.23/0.44 % (7314)Success in time 0.062 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------