TSTP Solution File: LCL580^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL580^1 : 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 : n019.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 00:16:03 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : LCL580^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 02:56:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.34  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
% 0.13/0.35  % (25096)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)
% 0.13/0.35  % (25094)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.35  % (25091)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.35  % (25096)Refutation not found, incomplete strategy
% 0.13/0.35  % (25096)------------------------------
% 0.13/0.35  % (25096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (25096)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (25096)Memory used [KB]: 5500
% 0.13/0.35  % (25096)Time elapsed: 0.002 s
% 0.13/0.35  % (25096)Instructions burned: 3 (million)
% 0.13/0.35  % (25096)------------------------------
% 0.13/0.35  % (25096)------------------------------
% 0.13/0.35  % (25094)Instruction limit reached!
% 0.13/0.35  % (25094)------------------------------
% 0.13/0.35  % (25094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (25094)Termination reason: Unknown
% 0.13/0.35  % (25094)Termination phase: Saturation
% 0.13/0.35  
% 0.13/0.35  % (25094)Memory used [KB]: 5500
% 0.13/0.35  % (25094)Time elapsed: 0.003 s
% 0.13/0.35  % (25094)Instructions burned: 4 (million)
% 0.13/0.35  % (25094)------------------------------
% 0.13/0.35  % (25094)------------------------------
% 0.13/0.35  % (25091)First to succeed.
% 0.13/0.35  % (25091)Refutation found. Thanks to Tanya!
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% 0.13/0.35  thf(type_def_6, type, individuals: $tType).
% 0.13/0.35  thf(func_def_1, type, prop_a: $i > $o).
% 0.13/0.35  thf(func_def_2, type, prop_b: $i > $o).
% 0.13/0.35  thf(func_def_3, type, prop_c: $i > $o).
% 0.13/0.35  thf(func_def_4, type, mfalse: $i > $o).
% 0.13/0.35  thf(func_def_5, type, mtrue: $i > $o).
% 0.13/0.35  thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_14, type, individuals: $tType).
% 0.13/0.35  thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.13/0.35  thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.13/0.35  thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.35  thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.35  thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.13/0.35  thf(func_def_21, type, r: $i > $i > $o).
% 0.13/0.35  thf(f75,plain,(
% 0.13/0.35    $false),
% 0.13/0.35    inference(trivial_inequality_removal,[],[f74])).
% 0.13/0.35  thf(f74,plain,(
% 0.13/0.35    ($false = $true)),
% 0.13/0.35    inference(beta_eta_normalization,[],[f73])).
% 0.13/0.35  thf(f73,plain,(
% 0.13/0.35    ($false = ((^[Y0 : $i]: ($true)) @ sK2))),
% 0.13/0.35    inference(sigma_clausification,[],[f72])).
% 0.13/0.35  thf(f72,plain,(
% 0.13/0.35    ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.13/0.35    inference(beta_eta_normalization,[],[f71])).
% 0.13/0.35  thf(f71,plain,(
% 0.13/0.35    ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK1))),
% 0.13/0.35    inference(sigma_clausification,[],[f70])).
% 0.13/0.35  thf(f70,plain,(
% 0.13/0.35    ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) != $true)),
% 0.13/0.35    inference(boolean_simplification,[],[f69])).
% 0.13/0.35  thf(f69,plain,(
% 0.13/0.35    ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((r @ Y0 @ Y1) => $true))))))),
% 0.13/0.35    inference(beta_eta_normalization,[],[f68])).
% 0.13/0.35  thf(f68,plain,(
% 0.13/0.35    ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ r @ (^[Y0 : $i]: ($true)))))),
% 0.13/0.35    inference(definition_unfolding,[],[f57,f50,f58,f65])).
% 0.13/0.35  thf(f65,plain,(
% 0.13/0.35    (mtrue = (^[Y0 : $i]: ($true)))),
% 0.13/0.35    inference(cnf_transformation,[],[f44])).
% 0.13/0.35  thf(f44,plain,(
% 0.13/0.35    (mtrue = (^[Y0 : $i]: ($true)))),
% 0.13/0.35    inference(fool_elimination,[],[f2])).
% 0.13/0.35  thf(f2,axiom,(
% 0.13/0.35    ((^[X0 : $i] : ($true)) = mtrue)),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue)).
% 0.13/0.35  thf(f58,plain,(
% 0.13/0.35    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.13/0.35    inference(cnf_transformation,[],[f43])).
% 0.13/0.35  thf(f43,plain,(
% 0.13/0.35    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.13/0.35    inference(fool_elimination,[],[f42])).
% 0.13/0.35  thf(f42,plain,(
% 0.13/0.35    (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.13/0.35    inference(rectify,[],[f8])).
% 0.13/0.35  thf(f8,axiom,(
% 0.13/0.35    (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.13/0.35  thf(f50,plain,(
% 0.13/0.35    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.35    inference(cnf_transformation,[],[f25])).
% 0.13/0.35  thf(f25,plain,(
% 0.13/0.35    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.35    inference(fool_elimination,[],[f24])).
% 0.13/0.35  thf(f24,plain,(
% 0.13/0.35    ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.13/0.35    inference(rectify,[],[f12])).
% 0.13/0.35  thf(f12,axiom,(
% 0.13/0.35    ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.35  thf(f57,plain,(
% 0.13/0.35    ((mvalid @ (mbox @ r @ mtrue)) != $true)),
% 0.13/0.35    inference(cnf_transformation,[],[f49])).
% 0.13/0.35  thf(f49,plain,(
% 0.13/0.35    ((mvalid @ (mbox @ r @ mtrue)) != $true)),
% 0.13/0.35    inference(flattening,[],[f27])).
% 0.13/0.35  thf(f27,plain,(
% 0.13/0.35    ~((mvalid @ (mbox @ r @ mtrue)) = $true)),
% 0.13/0.35    inference(fool_elimination,[],[f26])).
% 0.13/0.35  thf(f26,plain,(
% 0.13/0.35    ~(mvalid @ (mbox @ r @ mtrue))),
% 0.13/0.35    inference(rectify,[],[f17])).
% 0.13/0.35  thf(f17,negated_conjecture,(
% 0.13/0.35    ~(mvalid @ (mbox @ r @ mtrue))),
% 0.13/0.35    inference(negated_conjecture,[],[f16])).
% 0.13/0.35  thf(f16,conjecture,(
% 0.13/0.35    (mvalid @ (mbox @ r @ mtrue))),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.13/0.35  % SZS output end Proof for theBenchmark
% 0.13/0.35  % (25091)------------------------------
% 0.13/0.35  % (25091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (25091)Termination reason: Refutation
% 0.13/0.35  
% 0.13/0.35  % (25091)Memory used [KB]: 5500
% 0.13/0.35  % (25091)Time elapsed: 0.003 s
% 0.13/0.35  % (25091)Instructions burned: 3 (million)
% 0.13/0.35  % (25091)------------------------------
% 0.13/0.35  % (25091)------------------------------
% 0.13/0.35  % (25090)Success in time 0.004 s
% 0.13/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------