TSTP Solution File: SYO385^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO385^5 : TPTP v8.2.0. Released v4.0.0.
% 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 09:04:14 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO385^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:50:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35 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
% 0.14/0.37 % (28953)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)
% 0.14/0.37 % (28955)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (28954)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)
% 0.14/0.37 % (28956)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)
% 0.14/0.37 % (28952)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (28957)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)
% 0.14/0.37 % (28958)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (28955)Instruction limit reached!
% 0.14/0.37 % (28955)------------------------------
% 0.14/0.37 % (28955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (28956)Instruction limit reached!
% 0.14/0.37 % (28956)------------------------------
% 0.14/0.37 % (28956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (28956)Termination reason: Unknown
% 0.14/0.37 % (28956)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (28956)Memory used [KB]: 895
% 0.14/0.37 % (28956)Time elapsed: 0.003 s
% 0.14/0.37 % (28956)Instructions burned: 2 (million)
% 0.14/0.37 % (28956)------------------------------
% 0.14/0.37 % (28956)------------------------------
% 0.14/0.37 % (28955)Termination reason: Unknown
% 0.14/0.37 % (28955)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (28955)Memory used [KB]: 895
% 0.14/0.37 % (28955)Time elapsed: 0.003 s
% 0.14/0.37 % (28955)Instructions burned: 2 (million)
% 0.14/0.37 % (28955)------------------------------
% 0.14/0.37 % (28955)------------------------------
% 0.14/0.38 % (28953)Instruction limit reached!
% 0.14/0.38 % (28953)------------------------------
% 0.14/0.38 % (28953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (28953)Termination reason: Unknown
% 0.14/0.38 % (28953)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (28953)Memory used [KB]: 5500
% 0.14/0.38 % (28953)Time elapsed: 0.005 s
% 0.14/0.38 % (28953)Instructions burned: 4 (million)
% 0.14/0.38 % (28953)------------------------------
% 0.14/0.38 % (28953)------------------------------
% 0.14/0.38 % (28957)First to succeed.
% 0.14/0.38 % (28952)Also succeeded, but the first one will report.
% 0.14/0.38 % (28957)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% 0.14/0.38 thf(func_def_0, type, cQ_3: $i > $i > $i > $o).
% 0.14/0.38 thf(func_def_1, type, f: $i > $i).
% 0.14/0.38 thf(func_def_2, type, cP_2: $i > $i > $o).
% 0.14/0.38 thf(func_def_3, type, cQ_2: $i > $i > $i > $o).
% 0.14/0.38 thf(func_def_8, type, cP_1: $i > $i > $o).
% 0.14/0.38 thf(func_def_9, type, cQ_1: $i > $i > $i > $o).
% 0.14/0.38 thf(f64,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(avatar_sat_refutation,[],[f36,f45,f54,f63])).
% 0.14/0.38 thf(f63,plain,(
% 0.14/0.38 ~spl0_1),
% 0.14/0.38 inference(avatar_contradiction_clause,[],[f62])).
% 0.14/0.38 thf(f62,plain,(
% 0.14/0.38 $false | ~spl0_1),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f61])).
% 0.14/0.38 thf(f61,plain,(
% 0.14/0.38 ($true != $true) | ~spl0_1),
% 0.14/0.38 inference(superposition,[],[f60,f18])).
% 0.14/0.38 thf(f18,plain,(
% 0.14/0.38 ((cP_2 @ b @ b) = $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f7])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ! [X0,X1,X2,X3,X4,X5] : (((cQ_1 @ X4 @ X0 @ X5) != $true) | ((cQ_2 @ X2 @ X3 @ X1) = $true) | ((cP_1 @ (f @ X4) @ X2) != $true) | ((cP_1 @ (f @ X0) @ X3) != $true) | ((cP_1 @ (f @ X5) @ X1) != $true)) & ! [X6,X7,X8] : ((cQ_3 @ X6 @ X7 @ X8) != $true) & ! [X9,X10] : (((cP_1 @ (f @ X9) @ X10) = $true) | ((cP_1 @ X9 @ X10) != $true)) & ((cP_2 @ b @ b) = $true) & ! [X11] : ((cP_2 @ d @ X11) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_2 @ a @ a) = $true) & ! [X12,X13,X14,X15,X16,X17] : (((cQ_3 @ X15 @ X12 @ X17) = $true) | ((cP_2 @ (f @ X16) @ X12) != $true) | ((cP_2 @ (f @ X13) @ X15) != $true) | ((cP_2 @ (f @ X14) @ X17) != $true) | ($true != (cQ_2 @ X13 @ X16 @ X14))) & ! [X18,X19] : (((cP_2 @ X18 @ X19) != $true) | ((cP_2 @ (f @ X18) @ X19) = $true)) & ((cP_1 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ((cP_1 @ c @ c) = $true) & ! [X20] : ((cP_1 @ d @ X20) = $true) & ((cQ_1 @ a @ b @ c) = $true)),
% 0.14/0.38 inference(rectify,[],[f6])).
% 0.14/0.38 thf(f6,plain,(
% 0.14/0.38 ! [X10,X13,X12,X11,X14,X15] : (((cQ_1 @ X14 @ X10 @ X15) != $true) | ((cQ_2 @ X12 @ X11 @ X13) = $true) | ((cP_1 @ (f @ X14) @ X12) != $true) | ((cP_1 @ (f @ X10) @ X11) != $true) | ((cP_1 @ (f @ X15) @ X13) != $true)) & ! [X7,X8,X9] : ((cQ_3 @ X7 @ X8 @ X9) != $true) & ! [X19,X18] : (($true = (cP_1 @ (f @ X19) @ X18)) | ((cP_1 @ X19 @ X18) != $true)) & ((cP_2 @ b @ b) = $true) & ! [X0] : ((cP_2 @ d @ X0) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_2 @ a @ a) = $true) & ! [X3,X4,X5,X1,X6,X2] : (((cQ_3 @ X1 @ X3 @ X2) = $true) | ($true != (cP_2 @ (f @ X6) @ X3)) | ((cP_2 @ (f @ X4) @ X1) != $true) | ((cP_2 @ (f @ X5) @ X2) != $true) | ((cQ_2 @ X4 @ X6 @ X5) != $true)) & ! [X17,X16] : (((cP_2 @ X17 @ X16) != $true) | ($true = (cP_2 @ (f @ X17) @ X16))) & ((cP_1 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ((cP_1 @ c @ c) = $true) & ! [X20] : ((cP_1 @ d @ X20) = $true) & ((cQ_1 @ a @ b @ c) = $true)),
% 0.14/0.38 inference(flattening,[],[f5])).
% 0.14/0.38 thf(f5,plain,(
% 0.14/0.38 ~~(! [X0] : ((cP_2 @ d @ X0) = $true) & ((cP_2 @ b @ b) = $true) & ! [X1,X2,X3,X4,X5,X6] : (~((cP_2 @ (f @ X4) @ X1) = $true) | ~((cP_2 @ (f @ X5) @ X2) = $true) | ~((cQ_2 @ X4 @ X6 @ X5) = $true) | ((cQ_3 @ X1 @ X3 @ X2) = $true) | ~($true = (cP_2 @ (f @ X6) @ X3))) & ((cP_2 @ c @ c) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ! [X7,X8,X9] : ~((cQ_3 @ X7 @ X8 @ X9) = $true) & ! [X10,X11,X12,X13,X14,X15] : (((cQ_2 @ X12 @ X11 @ X13) = $true) | ~((cP_1 @ (f @ X15) @ X13) = $true) | ~((cQ_1 @ X14 @ X10 @ X15) = $true) | ~((cP_1 @ (f @ X10) @ X11) = $true) | ~((cP_1 @ (f @ X14) @ X12) = $true)) & ! [X16,X17] : (~((cP_2 @ X17 @ X16) = $true) | ($true = (cP_2 @ (f @ X17) @ X16))) & ((cP_1 @ c @ c) = $true) & ! [X18,X19] : (~((cP_1 @ X19 @ X18) = $true) | ($true = (cP_1 @ (f @ X19) @ X18))) & ! [X20] : ((cP_1 @ d @ X20) = $true) & ((cP_1 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true))),
% 0.14/0.38 inference(fool_elimination,[],[f4])).
% 0.14/0.38 thf(f4,plain,(
% 0.14/0.38 ~~(! [X0] : (cP_2 @ d @ X0) & (cP_2 @ b @ b) & ! [X1,X2,X3,X4,X5,X6] : (~(cP_2 @ (f @ X4) @ X1) | ~(cP_2 @ (f @ X5) @ X2) | ~(cQ_2 @ X4 @ X6 @ X5) | (cQ_3 @ X1 @ X3 @ X2) | ~(cP_2 @ (f @ X6) @ X3)) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & ! [X7,X8,X9] : ~(cQ_3 @ X7 @ X8 @ X9) & ! [X10,X11,X12,X13,X14,X15] : ((cQ_2 @ X12 @ X11 @ X13) | ~(cP_1 @ (f @ X15) @ X13) | ~(cQ_1 @ X14 @ X10 @ X15) | ~(cP_1 @ (f @ X10) @ X11) | ~(cP_1 @ (f @ X14) @ X12)) & ! [X16,X17] : (~(cP_2 @ X17 @ X16) | (cP_2 @ (f @ X17) @ X16)) & (cP_1 @ c @ c) & ! [X18,X19] : (~(cP_1 @ X19 @ X18) | (cP_1 @ (f @ X19) @ X18)) & ! [X20] : (cP_1 @ d @ X20) & (cP_1 @ b @ b) & (cP_1 @ a @ a) & (cP_2 @ a @ a))),
% 0.14/0.38 inference(rectify,[],[f2])).
% 0.14/0.38 thf(f2,negated_conjecture,(
% 0.14/0.38 ~~(! [X0] : (cP_2 @ d @ X0) & (cP_2 @ b @ b) & ! [X3,X5,X4,X0,X2,X1] : (~(cP_2 @ (f @ X0) @ X3) | ~(cP_2 @ (f @ X2) @ X5) | ~(cQ_2 @ X0 @ X1 @ X2) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4)) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & ! [X0,X1,X2] : ~(cQ_3 @ X0 @ X1 @ X2) & ! [X1,X4,X3,X5,X0,X2] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X0) @ X3)) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & (cP_1 @ c @ c) & ! [X1,X0] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & ! [X0] : (cP_1 @ d @ X0) & (cP_1 @ b @ b) & (cP_1 @ a @ a) & (cP_2 @ a @ a))),
% 0.14/0.38 inference(negated_conjecture,[],[f1])).
% 0.14/0.38 thf(f1,conjecture,(
% 0.14/0.38 ~(! [X0] : (cP_2 @ d @ X0) & (cP_2 @ b @ b) & ! [X3,X5,X4,X0,X2,X1] : (~(cP_2 @ (f @ X0) @ X3) | ~(cP_2 @ (f @ X2) @ X5) | ~(cQ_2 @ X0 @ X1 @ X2) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4)) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & ! [X0,X1,X2] : ~(cQ_3 @ X0 @ X1 @ X2) & ! [X1,X4,X3,X5,X0,X2] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X0) @ X3)) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & (cP_1 @ c @ c) & ! [X1,X0] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & ! [X0] : (cP_1 @ d @ X0) & (cP_1 @ b @ b) & (cP_1 @ a @ a) & (cP_2 @ a @ a))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM409_2)).
% 0.14/0.38 thf(f60,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (((cP_2 @ b @ X0) != $true)) ) | ~spl0_1),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f59])).
% 0.14/0.38 thf(f59,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (($true != $true) | ((cP_2 @ b @ X0) != $true)) ) | ~spl0_1),
% 0.14/0.38 inference(superposition,[],[f58,f12])).
% 0.14/0.38 thf(f12,plain,(
% 0.14/0.38 ((cP_1 @ b @ b) = $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f7])).
% 0.14/0.38 thf(f58,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i] : (($true != (cP_1 @ b @ X0)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f57])).
% 0.14/0.38 thf(f57,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i] : (($true != (cP_1 @ b @ X0)) | ($true != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.14/0.38 inference(superposition,[],[f56,f13])).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 ( ! [X18 : $i,X19 : $i] : (((cP_2 @ (f @ X18) @ X19) = $true) | ((cP_2 @ X18 @ X19) != $true)) )),
% 0.14/0.38 inference(cnf_transformation,[],[f7])).
% 0.14/0.38 thf(f56,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ($true != (cP_1 @ b @ X0))) ) | ~spl0_1),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f55])).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ($true != (cP_1 @ b @ X0))) ) | ~spl0_1),
% 0.14/0.38 inference(superposition,[],[f29,f19])).
% 0.14/0.38 thf(f19,plain,(
% 0.14/0.38 ( ! [X10 : $i,X9 : $i] : (((cP_1 @ (f @ X9) @ X10) = $true) | ((cP_1 @ X9 @ X10) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 ( ! [X4 : $i,X5 : $i] : (((cP_1 @ (f @ b) @ X4) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true)) ) | ~spl0_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f28])).
% 0.14/0.39 thf(f28,plain,(
% 0.14/0.39 spl0_1 <=> ! [X4,X5] : (((cP_1 @ (f @ b) @ X4) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 ~spl0_3),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f53])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 $false | ~spl0_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f52])).
% 0.14/0.39 thf(f52,plain,(
% 0.14/0.39 ($true != $true) | ~spl0_3),
% 0.14/0.39 inference(superposition,[],[f51,f16])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ((cP_2 @ c @ c) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f51,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cP_2 @ c @ X0) != $true)) ) | ~spl0_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f50])).
% 0.14/0.39 thf(f50,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cP_2 @ c @ X0) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.14/0.39 inference(superposition,[],[f49,f10])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 ((cP_1 @ c @ c) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f49,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != (cP_1 @ c @ X0)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f48])).
% 0.14/0.39 thf(f48,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != (cP_1 @ c @ X0)) | ((cP_2 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.14/0.39 inference(superposition,[],[f47,f13])).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ($true != (cP_1 @ c @ X0))) ) | ~spl0_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f46])).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ($true != (cP_1 @ c @ X0))) ) | ~spl0_3),
% 0.14/0.39 inference(superposition,[],[f35,f19])).
% 0.14/0.39 thf(f35,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i] : (((cP_1 @ (f @ c) @ X2) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true)) ) | ~spl0_3),
% 0.14/0.39 inference(avatar_component_clause,[],[f34])).
% 0.14/0.39 thf(f34,plain,(
% 0.14/0.39 spl0_3 <=> ! [X2,X3] : (((cP_1 @ (f @ c) @ X2) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.14/0.39 thf(f45,plain,(
% 0.14/0.39 ~spl0_2),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f44])).
% 0.14/0.39 thf(f44,plain,(
% 0.14/0.39 $false | ~spl0_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f43])).
% 0.14/0.39 thf(f43,plain,(
% 0.14/0.39 ($true != $true) | ~spl0_2),
% 0.14/0.39 inference(superposition,[],[f42,f15])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ((cP_2 @ a @ a) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f42,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((cP_2 @ a @ X0) != $true)) ) | ~spl0_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f41])).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($true != $true) | ((cP_2 @ a @ X0) != $true)) ) | ~spl0_2),
% 0.14/0.39 inference(superposition,[],[f40,f11])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ((cP_1 @ a @ a) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f40,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != (cP_1 @ a @ X0)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f39])).
% 0.14/0.39 thf(f39,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_2 @ X0 @ X1) != $true) | ($true != (cP_1 @ a @ X0))) ) | ~spl0_2),
% 0.14/0.39 inference(superposition,[],[f38,f13])).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ($true != (cP_1 @ a @ X0))) ) | ~spl0_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f37])).
% 0.14/0.39 thf(f37,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (cP_1 @ a @ X0)) | ((cP_2 @ (f @ X0) @ X1) != $true)) ) | ~spl0_2),
% 0.14/0.39 inference(superposition,[],[f32,f19])).
% 0.14/0.39 thf(f32,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((cP_1 @ (f @ a) @ X0) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true)) ) | ~spl0_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f31])).
% 0.14/0.39 thf(f31,plain,(
% 0.14/0.39 spl0_2 <=> ! [X0,X1] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_1 @ (f @ a) @ X0) != $true))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.14/0.39 thf(f36,plain,(
% 0.14/0.39 spl0_1 | spl0_2 | spl0_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f26,f34,f31,f28])).
% 0.14/0.39 thf(f26,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_1 @ (f @ c) @ X2) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ b) @ X4) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_1 @ (f @ a) @ X0) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f25])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_1 @ (f @ c) @ X2) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true) | ($true != $true) | ((cP_2 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ b) @ X4) != $true) | ((cP_1 @ (f @ a) @ X0) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true)) )),
% 0.14/0.39 inference(superposition,[],[f24,f8])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 ((cQ_1 @ a @ b @ c) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_1 @ X6 @ X7 @ X8) != $true) | ((cP_2 @ (f @ X0) @ X4) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true) | ((cP_2 @ (f @ X1) @ X5) != $true) | ((cP_1 @ (f @ X6) @ X0) != $true) | ((cP_1 @ (f @ X7) @ X1) != $true) | ((cP_1 @ (f @ X8) @ X2) != $true)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f23])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != $true) | ((cP_1 @ (f @ X8) @ X2) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ X7) @ X1) != $true) | ((cQ_1 @ X6 @ X7 @ X8) != $true) | ((cP_2 @ (f @ X1) @ X5) != $true) | ((cP_2 @ (f @ X0) @ X4) != $true) | ((cP_1 @ (f @ X6) @ X0) != $true)) )),
% 0.14/0.39 inference(superposition,[],[f22,f21])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cQ_2 @ X2 @ X3 @ X1) = $true) | ((cP_1 @ (f @ X4) @ X2) != $true) | ((cP_1 @ (f @ X0) @ X3) != $true) | ((cQ_1 @ X4 @ X0 @ X5) != $true) | ((cP_1 @ (f @ X5) @ X1) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ( ! [X16 : $i,X14 : $i,X17 : $i,X15 : $i,X12 : $i,X13 : $i] : (($true != (cQ_2 @ X13 @ X16 @ X14)) | ((cP_2 @ (f @ X14) @ X17) != $true) | ((cP_2 @ (f @ X13) @ X15) != $true) | ((cP_2 @ (f @ X16) @ X12) != $true)) )),
% 0.14/0.39 inference(subsumption_resolution,[],[f14,f20])).
% 0.14/0.39 thf(f20,plain,(
% 0.14/0.39 ( ! [X8 : $i,X6 : $i,X7 : $i] : (((cQ_3 @ X6 @ X7 @ X8) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 thf(f14,plain,(
% 0.14/0.39 ( ! [X16 : $i,X14 : $i,X17 : $i,X15 : $i,X12 : $i,X13 : $i] : (((cP_2 @ (f @ X16) @ X12) != $true) | ((cP_2 @ (f @ X13) @ X15) != $true) | ((cP_2 @ (f @ X14) @ X17) != $true) | ($true != (cQ_2 @ X13 @ X16 @ X14)) | ((cQ_3 @ X15 @ X12 @ X17) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f7])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (28957)------------------------------
% 0.14/0.39 % (28957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (28957)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (28957)Memory used [KB]: 5628
% 0.14/0.39 % (28957)Time elapsed: 0.013 s
% 0.14/0.39 % (28957)Instructions burned: 11 (million)
% 0.14/0.39 % (28957)------------------------------
% 0.14/0.39 % (28957)------------------------------
% 0.14/0.39 % (28951)Success in time 0.015 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------