TSTP Solution File: SYO354^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO354^5 : 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 : n008.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 09:04:07 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
% 0.12/0.12  % Problem    : SYO354^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % 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 : n008.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 09:03:38 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  % (21942)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  % (21941)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  % (21945)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  % (21944)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  % (21946)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  % (21943)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37  % (21942)Refutation not found, incomplete strategy
% 0.14/0.37  % (21942)------------------------------
% 0.14/0.37  % (21942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (21942)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (21940)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  % (21942)Memory used [KB]: 5500
% 0.14/0.37  % (21942)Time elapsed: 0.004 s
% 0.14/0.37  % (21942)Instructions burned: 1 (million)
% 0.14/0.37  % (21942)------------------------------
% 0.14/0.37  % (21942)------------------------------
% 0.14/0.37  % (21944)Instruction limit reached!
% 0.14/0.37  % (21944)------------------------------
% 0.14/0.37  % (21944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (21944)Termination reason: Unknown
% 0.14/0.37  % (21944)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (21944)Memory used [KB]: 895
% 0.14/0.37  % (21944)Time elapsed: 0.003 s
% 0.14/0.37  % (21944)Instructions burned: 2 (million)
% 0.14/0.37  % (21944)------------------------------
% 0.14/0.37  % (21944)------------------------------
% 0.14/0.37  % (21947)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  % (21941)Instruction limit reached!
% 0.14/0.38  % (21941)------------------------------
% 0.14/0.38  % (21941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21941)Termination reason: Unknown
% 0.14/0.38  % (21941)Termination phase: Saturation
% 0.14/0.38  % (21945)Refutation not found, incomplete strategy
% 0.14/0.38  % (21945)------------------------------
% 0.14/0.38  % (21945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21945)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (21945)Memory used [KB]: 5500
% 0.14/0.38  % (21945)Time elapsed: 0.005 s
% 0.14/0.38  % (21945)Instructions burned: 3 (million)
% 0.14/0.38  % (21945)------------------------------
% 0.14/0.38  % (21945)------------------------------
% 0.14/0.38  
% 0.14/0.38  % (21943)Instruction limit reached!
% 0.14/0.38  % (21943)------------------------------
% 0.14/0.38  % (21943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21941)Memory used [KB]: 5500
% 0.14/0.38  % (21941)Time elapsed: 0.005 s
% 0.14/0.38  % (21941)Instructions burned: 4 (million)
% 0.14/0.38  % (21941)------------------------------
% 0.14/0.38  % (21941)------------------------------
% 0.14/0.38  % (21943)Termination reason: Unknown
% 0.14/0.38  % (21943)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (21943)Memory used [KB]: 5500
% 0.14/0.38  % (21943)Time elapsed: 0.005 s
% 0.14/0.38  % (21943)Instructions burned: 2 (million)
% 0.14/0.38  % (21943)------------------------------
% 0.14/0.38  % (21943)------------------------------
% 0.14/0.38  % (21940)First to succeed.
% 0.14/0.38  % (21947)Also succeeded, but the first one will report.
% 0.14/0.38  % (21940)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, n: $i > $i).
% 0.14/0.38  thf(func_def_1, type, m: $i > $i).
% 0.14/0.38  thf(func_def_7, type, sK0: ($i > $i) > $o).
% 0.14/0.38  thf(func_def_10, type, ph2: !>[X0: $tType]:(X0)).
% 0.14/0.38  thf(f32,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f31])).
% 0.14/0.38  thf(f31,plain,(
% 0.14/0.38    ((n @ sK3) != (n @ sK3))),
% 0.14/0.38    inference(superposition,[],[f17,f18])).
% 0.14/0.38  thf(f18,plain,(
% 0.14/0.38    ( ! [X0 : $i] : (((m @ X0) = (n @ X0))) )),
% 0.14/0.38    inference(leibniz_equality_elimination,[],[f10])).
% 0.14/0.38  thf(f10,plain,(
% 0.14/0.38    ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ (n @ X1)) = $true) | ($true != (X2 @ (m @ X1)))) )),
% 0.14/0.38    inference(cnf_transformation,[],[f9])).
% 0.14/0.38  thf(f9,plain,(
% 0.14/0.38    (((sK0 @ (^[Y0 : $i]: (m @ Y0))) = $true) & ((sK0 @ (^[Y0 : $i]: (n @ Y0))) != $true)) & ! [X1,X2 : $i > $o] : (($true != (X2 @ (m @ X1))) | ((X2 @ (n @ X1)) = $true))),
% 0.14/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.14/0.38  thf(f8,plain,(
% 0.14/0.38    ? [X0 : ($i > $i) > $o] : (((X0 @ (^[Y0 : $i]: (m @ Y0))) = $true) & ((X0 @ (^[Y0 : $i]: (n @ Y0))) != $true)) => (((sK0 @ (^[Y0 : $i]: (m @ Y0))) = $true) & ((sK0 @ (^[Y0 : $i]: (n @ Y0))) != $true))),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f7,plain,(
% 0.14/0.38    ? [X0 : ($i > $i) > $o] : (((X0 @ (^[Y0 : $i]: (m @ Y0))) = $true) & ((X0 @ (^[Y0 : $i]: (n @ Y0))) != $true)) & ! [X1,X2 : $i > $o] : (($true != (X2 @ (m @ X1))) | ((X2 @ (n @ X1)) = $true))),
% 0.14/0.38    inference(rectify,[],[f6])).
% 0.14/0.38  thf(f6,plain,(
% 0.14/0.38    ? [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (m @ Y0))) = $true) & ($true != (X2 @ (^[Y0 : $i]: (n @ Y0))))) & ! [X0,X1 : $i > $o] : (((X1 @ (m @ X0)) != $true) | ((X1 @ (n @ X0)) = $true))),
% 0.14/0.38    inference(ennf_transformation,[],[f5])).
% 0.14/0.38  thf(f5,plain,(
% 0.14/0.38    ~(! [X0,X1 : $i > $o] : (((X1 @ (m @ X0)) = $true) => ((X1 @ (n @ X0)) = $true)) => ! [X2 : ($i > $i) > $o] : (((X2 @ (^[Y0 : $i]: (m @ Y0))) = $true) => ($true = (X2 @ (^[Y0 : $i]: (n @ Y0))))))),
% 0.14/0.38    inference(fool_elimination,[],[f4])).
% 0.14/0.38  thf(f4,plain,(
% 0.14/0.38    ~(! [X0,X1 : $i > $o] : ((X1 @ (m @ X0)) => (X1 @ (n @ X0))) => ! [X2 : ($i > $i) > $o] : ((X2 @ (^[X3 : $i] : (m @ X3))) => (X2 @ (^[X4 : $i] : (n @ X4)))))),
% 0.14/0.38    inference(rectify,[],[f2])).
% 0.14/0.38  thf(f2,negated_conjecture,(
% 0.14/0.38    ~(! [X0,X1 : $i > $o] : ((X1 @ (m @ X0)) => (X1 @ (n @ X0))) => ! [X2 : ($i > $i) > $o] : ((X2 @ (^[X0 : $i] : (m @ X0))) => (X2 @ (^[X0 : $i] : (n @ X0)))))),
% 0.14/0.38    inference(negated_conjecture,[],[f1])).
% 0.14/0.38  thf(f1,conjecture,(
% 0.14/0.38    ! [X0,X1 : $i > $o] : ((X1 @ (m @ X0)) => (X1 @ (n @ X0))) => ! [X2 : ($i > $i) > $o] : ((X2 @ (^[X0 : $i] : (m @ X0))) => (X2 @ (^[X0 : $i] : (n @ X0))))),
% 0.14/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cE4EXT)).
% 0.14/0.38  thf(f17,plain,(
% 0.14/0.38    ((m @ sK3) != (n @ sK3))),
% 0.14/0.38    inference(negative_extensionality,[],[f16])).
% 0.14/0.38  thf(f16,plain,(
% 0.14/0.38    (m != n)),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f15])).
% 0.14/0.38  thf(f15,plain,(
% 0.14/0.38    ($true != $true) | (m != n)),
% 0.14/0.38    inference(constrained_superposition,[],[f14,f13])).
% 0.14/0.38  thf(f13,plain,(
% 0.14/0.38    ((sK0 @ m) = $true)),
% 0.14/0.38    inference(beta_eta_normalization,[],[f12])).
% 0.14/0.38  thf(f12,plain,(
% 0.14/0.38    ((sK0 @ (^[Y0 : $i]: (m @ Y0))) = $true)),
% 0.14/0.38    inference(cnf_transformation,[],[f9])).
% 0.14/0.38  thf(f14,plain,(
% 0.14/0.38    ((sK0 @ n) != $true)),
% 0.14/0.38    inference(beta_eta_normalization,[],[f11])).
% 0.14/0.38  thf(f11,plain,(
% 0.14/0.38    ((sK0 @ (^[Y0 : $i]: (n @ Y0))) != $true)),
% 0.14/0.38    inference(cnf_transformation,[],[f9])).
% 0.14/0.38  % SZS output end Proof for theBenchmark
% 0.14/0.38  % (21940)------------------------------
% 0.14/0.38  % (21940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (21940)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (21940)Memory used [KB]: 5500
% 0.14/0.38  % (21940)Time elapsed: 0.005 s
% 0.14/0.38  % (21940)Instructions burned: 2 (million)
% 0.14/0.38  % (21940)------------------------------
% 0.14/0.38  % (21940)------------------------------
% 0.14/0.38  % (21937)Success in time 0.019 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------