TSTP Solution File: SEU924^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU924^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 03:52:12 EDT 2024

% Result   : Theorem 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SEU924^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.16  % 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
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 17:17:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  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
% 0.15/0.39  % (337)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.39  % (331)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.39  % (332)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 (3000ds/4Mi)
% 0.15/0.39  % (333)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 (3000ds/27Mi)
% 0.15/0.39  % (334)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39  % (335)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 (3000ds/2Mi)
% 0.15/0.39  % (336)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 (3000ds/275Mi)
% 0.15/0.39  % (337)First to succeed.
% 0.15/0.39  % (335)Instruction limit reached!
% 0.15/0.39  % (335)------------------------------
% 0.15/0.39  % (335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (335)Termination reason: Unknown
% 0.15/0.39  % (335)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (335)Memory used [KB]: 895
% 0.15/0.39  % (335)Time elapsed: 0.003 s
% 0.15/0.39  % (335)Instructions burned: 2 (million)
% 0.15/0.39  % (335)------------------------------
% 0.15/0.39  % (335)------------------------------
% 0.15/0.39  % (333)Refutation not found, incomplete strategy
% 0.15/0.39  % (333)------------------------------
% 0.15/0.39  % (333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (333)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (333)Memory used [KB]: 5500
% 0.15/0.39  % (333)Time elapsed: 0.003 s
% 0.15/0.39  % (333)Instructions burned: 1 (million)
% 0.15/0.39  % (333)------------------------------
% 0.15/0.39  % (333)------------------------------
% 0.15/0.40  % (334)Instruction limit reached!
% 0.15/0.40  % (334)------------------------------
% 0.15/0.40  % (334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (334)Termination reason: Unknown
% 0.15/0.40  % (334)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (331)Also succeeded, but the first one will report.
% 0.15/0.40  % (334)Memory used [KB]: 5500
% 0.15/0.40  % (334)Time elapsed: 0.004 s
% 0.15/0.40  % (334)Instructions burned: 2 (million)
% 0.15/0.40  % (334)------------------------------
% 0.15/0.40  % (334)------------------------------
% 0.15/0.40  % (337)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Theorem for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% 0.15/0.40  thf(func_def_5, type, sK1: $i > $i).
% 0.15/0.40  thf(func_def_6, type, sK2: (($i > $i) > $o) > $i > $i).
% 0.15/0.40  thf(func_def_10, type, ph5: !>[X0: $tType]:(X0)).
% 0.15/0.40  thf(f35,plain,(
% 0.15/0.40    $false),
% 0.15/0.40    inference(trivial_inequality_removal,[],[f34])).
% 0.15/0.40  thf(f34,plain,(
% 0.15/0.40    (sK0 != sK0)),
% 0.15/0.40    inference(superposition,[],[f14,f33])).
% 0.15/0.40  thf(f33,plain,(
% 0.15/0.40    ( ! [X1 : $i] : ((sK0 = (sK1 @ X1))) )),
% 0.15/0.40    inference(beta_eta_normalization,[],[f32])).
% 0.15/0.40  thf(f32,plain,(
% 0.15/0.40    ( ! [X1 : $i] : (((sK1 @ X1) = ((^[Y0 : $i]: (sK0)) @ X1))) )),
% 0.15/0.40    inference(argument_congruence,[],[f18])).
% 0.15/0.40  thf(f18,plain,(
% 0.15/0.40    (sK1 = (^[Y0 : $i]: (sK0)))),
% 0.15/0.40    inference(leibniz_equality_elimination,[],[f17])).
% 0.15/0.40  thf(f17,plain,(
% 0.15/0.40    ( ! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (sK0))) != $true) | ((X2 @ sK1) = $true)) )),
% 0.15/0.40    inference(duplicate_literal_removal,[],[f16])).
% 0.15/0.40  thf(f16,plain,(
% 0.15/0.40    ( ! [X2 : ($i > $i) > $o] : (((X2 @ sK1) = $true) | ((X2 @ (^[Y0 : $i]: (sK0))) != $true) | ((X2 @ (^[Y0 : $i]: (sK0))) != $true)) )),
% 0.15/0.40    inference(cnf_transformation,[],[f13])).
% 0.15/0.40  thf(f13,plain,(
% 0.15/0.40    ! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (sK0))) != $true) | ((X2 @ sK1) = $true) | (((X2 @ (^[Y0 : $i]: (sK0))) != $true) & ((X2 @ (sK2 @ X2)) = $true))) & (sK0 != (sK1 @ sK3))),
% 0.15/0.40    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f12,f11,f10])).
% 0.15/0.40  thf(f10,plain,(
% 0.15/0.40    ? [X0,X1 : $i > $i] : (! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (X0))) != $true) | ((X2 @ X1) = $true) | ? [X3 : $i > $i] : (((X2 @ (^[Y0 : $i]: (X0))) != $true) & ($true = (X2 @ X3)))) & ? [X4] : ((X1 @ X4) != X0)) => (! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (sK0))) != $true) | ((X2 @ sK1) = $true) | ? [X3 : $i > $i] : (((X2 @ (^[Y0 : $i]: (sK0))) != $true) & ($true = (X2 @ X3)))) & ? [X4] : ((sK1 @ X4) != sK0))),
% 0.15/0.40    introduced(choice_axiom,[])).
% 0.15/0.40  thf(f11,plain,(
% 0.15/0.40    ! [X2 : ($i > $i) > $o] : (? [X3 : $i > $i] : (((X2 @ (^[Y0 : $i]: (sK0))) != $true) & ($true = (X2 @ X3))) => (((X2 @ (^[Y0 : $i]: (sK0))) != $true) & ((X2 @ (sK2 @ X2)) = $true)))),
% 0.15/0.40    introduced(choice_axiom,[])).
% 0.15/0.40  thf(f12,plain,(
% 0.15/0.40    ? [X4] : ((sK1 @ X4) != sK0) => (sK0 != (sK1 @ sK3))),
% 0.15/0.40    introduced(choice_axiom,[])).
% 0.15/0.40  thf(f9,plain,(
% 0.15/0.40    ? [X0,X1 : $i > $i] : (! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (X0))) != $true) | ((X2 @ X1) = $true) | ? [X3 : $i > $i] : (((X2 @ (^[Y0 : $i]: (X0))) != $true) & ($true = (X2 @ X3)))) & ? [X4] : ((X1 @ X4) != X0))),
% 0.15/0.40    inference(rectify,[],[f8])).
% 0.15/0.40  thf(f8,plain,(
% 0.15/0.40    ? [X1,X0 : $i > $i] : (! [X2 : ($i > $i) > $o] : (($true != (X2 @ (^[Y0 : $i]: (X1)))) | ($true = (X2 @ X0)) | ? [X3 : $i > $i] : (($true != (X2 @ (^[Y0 : $i]: (X1)))) & ($true = (X2 @ X3)))) & ? [X4] : ((X0 @ X4) != X1))),
% 0.15/0.40    inference(flattening,[],[f7])).
% 0.15/0.40  thf(f7,plain,(
% 0.15/0.40    ? [X1,X0 : $i > $i] : (? [X4] : ((X0 @ X4) != X1) & ! [X2 : ($i > $i) > $o] : (($true = (X2 @ X0)) | (($true != (X2 @ (^[Y0 : $i]: (X1)))) | ? [X3 : $i > $i] : (($true != (X2 @ (^[Y0 : $i]: (X1)))) & ($true = (X2 @ X3))))))),
% 0.15/0.40    inference(ennf_transformation,[],[f6])).
% 0.15/0.40  thf(f6,plain,(
% 0.15/0.40    ~! [X1,X0 : $i > $i] : (! [X2 : ($i > $i) > $o] : ((($true = (X2 @ (^[Y0 : $i]: (X1)))) & ! [X3 : $i > $i] : (($true = (X2 @ X3)) => ($true = (X2 @ (^[Y0 : $i]: (X1)))))) => ($true = (X2 @ X0))) => ! [X4] : ((X0 @ X4) = X1))),
% 0.15/0.40    inference(rectify,[],[f5])).
% 0.15/0.40  thf(f5,plain,(
% 0.15/0.40    ~! [X0 : $i > $i,X1] : (! [X2 : ($i > $i) > $o] : ((($true = (X2 @ (^[Y0 : $i]: (X1)))) & ! [X3 : $i > $i] : (($true = (X2 @ X3)) => ($true = (X2 @ (^[Y0 : $i]: (X1)))))) => ($true = (X2 @ X0))) => ! [X6] : ((X0 @ X6) = X1))),
% 0.15/0.40    inference(fool_elimination,[],[f4])).
% 0.15/0.40  thf(f4,plain,(
% 0.15/0.40    ~! [X0 : $i > $i,X1] : (! [X2 : ($i > $i) > $o] : ((! [X3 : $i > $i] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : (X1)))) & (X2 @ (^[X5 : $i] : (X1)))) => (X2 @ X0)) => ! [X6] : ((X0 @ X6) = X1))),
% 0.15/0.40    inference(rectify,[],[f2])).
% 0.15/0.40  thf(f2,negated_conjecture,(
% 0.15/0.40    ~! [X1 : $i > $i,X0] : (! [X2 : ($i > $i) > $o] : ((! [X4 : $i > $i] : ((X2 @ X4) => (X2 @ (^[X3 : $i] : (X0)))) & (X2 @ (^[X3 : $i] : (X0)))) => (X2 @ X1)) => ! [X3] : ((X1 @ X3) = X0))),
% 0.15/0.40    inference(negated_conjecture,[],[f1])).
% 0.15/0.40  thf(f1,conjecture,(
% 0.15/0.40    ! [X1 : $i > $i,X0] : (! [X2 : ($i > $i) > $o] : ((! [X4 : $i > $i] : ((X2 @ X4) => (X2 @ (^[X3 : $i] : (X0)))) & (X2 @ (^[X3 : $i] : (X0)))) => (X2 @ X1)) => ! [X3] : ((X1 @ X3) = X0))),
% 0.15/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM134_pme)).
% 0.15/0.40  thf(f14,plain,(
% 0.15/0.40    (sK0 != (sK1 @ sK3))),
% 0.15/0.40    inference(cnf_transformation,[],[f13])).
% 0.15/0.40  % SZS output end Proof for theBenchmark
% 0.15/0.40  % (337)------------------------------
% 0.15/0.40  % (337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (337)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (337)Memory used [KB]: 5500
% 0.15/0.40  % (337)Time elapsed: 0.004 s
% 0.15/0.40  % (337)Instructions burned: 2 (million)
% 0.15/0.40  % (337)------------------------------
% 0.15/0.40  % (337)------------------------------
% 0.15/0.40  % (330)Success in time 0.015 s
% 0.15/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------