TSTP Solution File: LCL623^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL623^1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : 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 00:16:14 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL623^1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 02:52:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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
% 0.14/0.38 % (19813)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (19815)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)
% 0.14/0.38 % (19816)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (19814)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)
% 0.14/0.38 % (19817)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)
% 0.14/0.38 % (19818)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)
% 0.14/0.38 % (19819)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (19820)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)
% 0.14/0.38 % (19816)Instruction limit reached!
% 0.14/0.38 % (19816)------------------------------
% 0.14/0.38 % (19816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19816)Termination reason: Unknown
% 0.14/0.38 % (19816)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (19816)Memory used [KB]: 895
% 0.14/0.38 % (19816)Time elapsed: 0.003 s
% 0.14/0.38 % (19816)Instructions burned: 2 (million)
% 0.14/0.38 % (19816)------------------------------
% 0.14/0.38 % (19816)------------------------------
% 0.14/0.38 % (19817)Instruction limit reached!
% 0.14/0.38 % (19817)------------------------------
% 0.14/0.38 % (19817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19817)Termination reason: Unknown
% 0.14/0.38 % (19817)Termination phase: Function definition elimination
% 0.14/0.38
% 0.14/0.38 % (19817)Memory used [KB]: 1023
% 0.14/0.38 % (19817)Time elapsed: 0.004 s
% 0.14/0.38 % (19817)Instructions burned: 3 (million)
% 0.14/0.38 % (19817)------------------------------
% 0.14/0.38 % (19817)------------------------------
% 0.14/0.38 % (19820)Instruction limit reached!
% 0.14/0.38 % (19820)------------------------------
% 0.14/0.38 % (19820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19820)Termination reason: Unknown
% 0.14/0.38 % (19820)Termination phase: Unused predicate definition removal
% 0.14/0.38
% 0.14/0.38 % (19820)Memory used [KB]: 1023
% 0.14/0.38 % (19820)Time elapsed: 0.003 s
% 0.14/0.38 % (19820)Instructions burned: 3 (million)
% 0.14/0.38 % (19820)------------------------------
% 0.14/0.38 % (19820)------------------------------
% 0.14/0.38 % (19814)Instruction limit reached!
% 0.14/0.38 % (19814)------------------------------
% 0.14/0.38 % (19814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19814)Termination reason: Unknown
% 0.14/0.38 % (19814)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19814)Memory used [KB]: 5500
% 0.14/0.38 % (19814)Time elapsed: 0.004 s
% 0.14/0.38 % (19814)Instructions burned: 5 (million)
% 0.14/0.38 % (19814)------------------------------
% 0.14/0.38 % (19814)------------------------------
% 0.14/0.38 % (19818)Refutation not found, incomplete strategy
% 0.14/0.38 % (19818)------------------------------
% 0.14/0.38 % (19818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19818)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (19818)Memory used [KB]: 5500
% 0.14/0.38 % (19818)Time elapsed: 0.005 s
% 0.14/0.38 % (19818)Instructions burned: 4 (million)
% 0.14/0.38 % (19818)------------------------------
% 0.14/0.38 % (19818)------------------------------
% 0.14/0.39 % (19819)Instruction limit reached!
% 0.14/0.39 % (19819)------------------------------
% 0.14/0.39 % (19819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19819)Termination reason: Unknown
% 0.14/0.39 % (19819)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19819)Memory used [KB]: 5628
% 0.14/0.39 % (19819)Time elapsed: 0.014 s
% 0.14/0.39 % (19819)Instructions burned: 18 (million)
% 0.14/0.39 % (19819)------------------------------
% 0.14/0.39 % (19819)------------------------------
% 0.14/0.39 % (19821)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)
% 0.14/0.39 % (19815)Instruction limit reached!
% 0.14/0.39 % (19815)------------------------------
% 0.14/0.39 % (19815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19822)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)
% 0.14/0.39 % (19815)Termination reason: Unknown
% 0.14/0.39 % (19815)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19815)Memory used [KB]: 5628
% 0.14/0.39 % (19815)Time elapsed: 0.019 s
% 0.14/0.39 % (19815)Instructions burned: 27 (million)
% 0.14/0.39 % (19815)------------------------------
% 0.14/0.39 % (19815)------------------------------
% 0.14/0.40 % (19823)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)
% 0.14/0.40 % (19824)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)
% 0.14/0.40 % (19825)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (19823)Instruction limit reached!
% 0.14/0.40 % (19823)------------------------------
% 0.14/0.40 % (19823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19823)Termination reason: Unknown
% 0.14/0.40 % (19823)Termination phase: Function definition elimination
% 0.14/0.40
% 0.14/0.40 % (19823)Memory used [KB]: 1023
% 0.14/0.40 % (19823)Time elapsed: 0.004 s
% 0.14/0.40 % (19823)Instructions burned: 4 (million)
% 0.14/0.40 % (19823)------------------------------
% 0.14/0.40 % (19823)------------------------------
% 0.14/0.40 % (19824)First to succeed.
% 0.14/0.40 % (19825)Instruction limit reached!
% 0.14/0.40 % (19825)------------------------------
% 0.14/0.40 % (19825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19825)Termination reason: Unknown
% 0.14/0.40 % (19825)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19825)Memory used [KB]: 1023
% 0.14/0.40 % (19825)Time elapsed: 0.006 s
% 0.14/0.40 % (19825)Instructions burned: 7 (million)
% 0.14/0.40 % (19825)------------------------------
% 0.14/0.40 % (19825)------------------------------
% 0.14/0.40 % (19822)Refutation not found, incomplete strategy
% 0.14/0.40 % (19822)------------------------------
% 0.14/0.40 % (19822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19822)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (19822)Memory used [KB]: 5628
% 0.14/0.40 % (19822)Time elapsed: 0.008 s
% 0.14/0.40 % (19822)Instructions burned: 9 (million)
% 0.14/0.40 % (19822)------------------------------
% 0.14/0.40 % (19822)------------------------------
% 0.14/0.40 % (19824)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% 0.14/0.40 thf(type_def_6, type, individuals: $tType).
% 0.14/0.40 thf(func_def_1, type, prop_a: $i > $o).
% 0.14/0.40 thf(func_def_2, type, prop_b: $i > $o).
% 0.14/0.40 thf(func_def_3, type, prop_c: $i > $o).
% 0.14/0.40 thf(func_def_4, type, mfalse: $i > $o).
% 0.14/0.40 thf(func_def_5, type, mtrue: $i > $o).
% 0.14/0.40 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_14, type, individuals: $tType).
% 0.14/0.40 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.14/0.40 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.14/0.40 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.40 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.40 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.14/0.40 thf(func_def_21, type, r: $i > $i > $o).
% 0.14/0.40 thf(f77,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f76])).
% 0.14/0.40 thf(f76,plain,(
% 0.14/0.40 ($true = $false)),
% 0.14/0.40 inference(boolean_simplification,[],[f75])).
% 0.14/0.40 thf(f75,plain,(
% 0.14/0.40 ((~ $true) = $true)),
% 0.14/0.40 inference(forward_demodulation,[],[f73,f74])).
% 0.14/0.40 thf(f74,plain,(
% 0.14/0.40 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((r @ Y1 @ Y2) => (Y0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((r @ Y1 @ Y2) => ((Y0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((r @ Y2 @ Y3) => (Y0 @ Y3))))))))))))))) = $true)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f71])).
% 0.14/0.40 thf(f71,plain,(
% 0.14/0.40 ((!! @ ($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))))))))) @ r @ ((^[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))))))))) @ r @ Y0) @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ r @ Y0))))) = $true)),
% 0.14/0.40 inference(definition_unfolding,[],[f53,f56,f69,f65,f69,f65,f65])).
% 0.14/0.40 thf(f65,plain,(
% 0.14/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f38])).
% 0.14/0.40 thf(f38,plain,(
% 0.14/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f37])).
% 0.14/0.40 thf(f37,plain,(
% 0.14/0.40 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.14/0.40 inference(rectify,[],[f8])).
% 0.14/0.40 thf(f8,axiom,(
% 0.14/0.40 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.14/0.40 thf(f69,plain,(
% 0.14/0.40 (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)))))),
% 0.14/0.40 inference(definition_unfolding,[],[f63,f58,f66])).
% 0.14/0.40 thf(f66,plain,(
% 0.14/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f21])).
% 0.14/0.40 thf(f21,plain,(
% 0.14/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.40 inference(fool_elimination,[],[f20])).
% 0.14/0.40 thf(f20,plain,(
% 0.14/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.14/0.40 inference(rectify,[],[f3])).
% 0.14/0.40 thf(f3,axiom,(
% 0.14/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.14/0.40 thf(f58,plain,(
% 0.14/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f42])).
% 0.14/0.40 thf(f42,plain,(
% 0.14/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f41])).
% 0.14/0.40 thf(f41,plain,(
% 0.14/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.14/0.40 inference(rectify,[],[f4])).
% 0.14/0.40 thf(f4,axiom,(
% 0.14/0.40 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.14/0.40 thf(f63,plain,(
% 0.14/0.40 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.40 inference(cnf_transformation,[],[f27])).
% 0.14/0.40 thf(f27,plain,(
% 0.14/0.40 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.40 inference(fool_elimination,[],[f26])).
% 0.14/0.40 thf(f26,plain,(
% 0.14/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.14/0.40 inference(rectify,[],[f6])).
% 0.14/0.40 thf(f6,axiom,(
% 0.14/0.40 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.14/0.40 thf(f56,plain,(
% 0.14/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.40 inference(cnf_transformation,[],[f50])).
% 0.14/0.40 thf(f50,plain,(
% 0.14/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.40 inference(fool_elimination,[],[f49])).
% 0.14/0.40 thf(f49,plain,(
% 0.14/0.40 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.14/0.40 inference(rectify,[],[f12])).
% 0.14/0.40 thf(f12,axiom,(
% 0.14/0.40 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.14/0.40 thf(f53,plain,(
% 0.14/0.40 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ Y0) @ Y0)) @ (mbox @ r @ Y0))))) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f32])).
% 0.14/0.40 thf(f32,plain,(
% 0.14/0.40 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ Y0) @ Y0)) @ (mbox @ r @ Y0))))) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f31])).
% 0.14/0.40 thf(f31,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ X0) @ X0)) @ (mbox @ r @ X0)))),
% 0.14/0.40 inference(rectify,[],[f16])).
% 0.14/0.40 thf(f16,axiom,(
% 0.14/0.40 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ X0) @ X0)) @ (mbox @ r @ X0)))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gl)).
% 0.14/0.40 thf(f73,plain,(
% 0.14/0.40 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((r @ Y1 @ Y2) => (Y0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((r @ Y1 @ Y2) => ((Y0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((r @ Y2 @ Y3) => (Y0 @ Y3)))))))))))))))) = $true)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f72])).
% 0.14/0.40 thf(f72,plain,(
% 0.14/0.40 ((~ (!! @ ($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))))))))) @ r @ ((^[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))))))))) @ r @ Y0) @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ r @ Y0)))))) = $true)),
% 0.14/0.40 inference(definition_unfolding,[],[f54,f56,f69,f65,f69,f65,f65])).
% 0.14/0.40 thf(f54,plain,(
% 0.14/0.40 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ Y0) @ Y0)) @ (mbox @ r @ Y0)))))) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f46])).
% 0.14/0.40 thf(f46,plain,(
% 0.14/0.40 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ Y0) @ Y0)) @ (mbox @ r @ Y0)))))) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f45])).
% 0.14/0.40 thf(f45,plain,(
% 0.14/0.40 ~! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ X0) @ X0)) @ (mbox @ r @ X0)))),
% 0.14/0.40 inference(rectify,[],[f18])).
% 0.14/0.40 thf(f18,negated_conjecture,(
% 0.14/0.40 ~! [X5 : $i > $o] : (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ X5) @ X5)) @ (mbox @ r @ X5)))),
% 0.14/0.40 inference(negated_conjecture,[],[f17])).
% 0.14/0.40 thf(f17,conjecture,(
% 0.14/0.40 ! [X5 : $i > $o] : (mvalid @ (mimpl @ (mbox @ r @ (mimpl @ (mbox @ r @ X5) @ X5)) @ (mbox @ r @ X5)))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',loeb)).
% 0.14/0.40 % SZS output end Proof for theBenchmark
% 0.14/0.40 % (19824)------------------------------
% 0.14/0.40 % (19824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19824)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (19824)Memory used [KB]: 5500
% 0.14/0.40 % (19824)Time elapsed: 0.007 s
% 0.14/0.40 % (19824)Instructions burned: 5 (million)
% 0.14/0.40 % (19824)------------------------------
% 0.14/0.40 % (19824)------------------------------
% 0.14/0.40 % (19812)Success in time 0.045 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------