TSTP Solution File: SWV447^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV447^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : n003.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 : Sun May  5 10:34:38 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV447^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:57:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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/tmp/tmp.8Ltwmt8eHN/Vampire---4.8_11277
% 0.15/0.38  % (11450)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38  % (11447)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.38  % (11449)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 Vampire---4 for (3000ds/27Mi)
% 0.15/0.38  % (11448)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 Vampire---4 for (3000ds/4Mi)
% 0.15/0.38  % (11451)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38  % (11452)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.15/0.38  % (11450)Instruction limit reached!
% 0.15/0.38  % (11450)------------------------------
% 0.15/0.38  % (11450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (11450)Termination reason: Unknown
% 0.15/0.38  % (11451)Instruction limit reached!
% 0.15/0.38  % (11451)------------------------------
% 0.15/0.38  % (11451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (11450)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (11450)Memory used [KB]: 5500
% 0.15/0.38  % (11450)Time elapsed: 0.004 s
% 0.15/0.38  % (11450)Instructions burned: 2 (million)
% 0.15/0.38  % (11450)------------------------------
% 0.15/0.38  % (11450)------------------------------
% 0.15/0.38  % (11453)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38  % (11451)Termination reason: Unknown
% 0.15/0.38  % (11451)Termination phase: Clausification
% 0.15/0.38  
% 0.15/0.38  % (11451)Memory used [KB]: 895
% 0.15/0.38  % (11451)Time elapsed: 0.003 s
% 0.15/0.38  % (11451)Instructions burned: 2 (million)
% 0.15/0.38  % (11451)------------------------------
% 0.15/0.38  % (11451)------------------------------
% 0.15/0.38  % (11452)Refutation not found, incomplete strategy
% 0.15/0.38  % (11452)------------------------------
% 0.15/0.38  % (11452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (11452)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (11452)Memory used [KB]: 5500
% 0.15/0.38  % (11452)Time elapsed: 0.003 s
% 0.15/0.38  % (11452)Instructions burned: 1 (million)
% 0.15/0.38  % (11452)------------------------------
% 0.15/0.38  % (11452)------------------------------
% 0.15/0.38  % (11447)First to succeed.
% 0.15/0.38  % (11448)Instruction limit reached!
% 0.15/0.38  % (11448)------------------------------
% 0.15/0.38  % (11448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (11449)Also succeeded, but the first one will report.
% 0.15/0.38  % (11448)Termination reason: Unknown
% 0.15/0.38  % (11448)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (11448)Memory used [KB]: 5500
% 0.15/0.38  % (11448)Time elapsed: 0.006 s
% 0.15/0.38  % (11448)Instructions burned: 5 (million)
% 0.15/0.38  % (11448)------------------------------
% 0.15/0.38  % (11448)------------------------------
% 0.15/0.38  % (11447)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for Vampire---4
% 0.15/0.38  % SZS output start Proof for Vampire---4
% 0.15/0.38  thf(func_def_1, type, cons: $i > $i > $i).
% 0.15/0.38  thf(func_def_2, type, map: ($i > $i) > $i > $i).
% 0.15/0.38  thf(func_def_10, type, ph2: !>[X0: $tType]:(X0)).
% 0.15/0.38  thf(f23,plain,(
% 0.15/0.38    $false),
% 0.15/0.38    inference(trivial_inequality_removal,[],[f22])).
% 0.15/0.38  thf(f22,plain,(
% 0.15/0.38    ((cons @ sK0 @ nil) != (cons @ sK0 @ nil))),
% 0.15/0.38    inference(beta_eta_normalization,[],[f19])).
% 0.15/0.38  thf(f19,plain,(
% 0.15/0.38    ((cons @ ((^[Y0 : $i]: (Y0)) @ sK0) @ nil) != (cons @ sK0 @ nil))),
% 0.15/0.38    inference(superposition,[],[f13,f15])).
% 0.15/0.38  thf(f15,plain,(
% 0.15/0.38    ( ! [X0 : $i > $i,X1 : $i] : (((cons @ (X0 @ X1) @ nil) = (map @ X0 @ (cons @ X1 @ nil)))) )),
% 0.15/0.38    inference(superposition,[],[f12,f14])).
% 0.15/0.38  thf(f14,plain,(
% 0.15/0.38    ( ! [X0 : $i > $i] : ((nil = (map @ X0 @ nil))) )),
% 0.15/0.38    inference(cnf_transformation,[],[f1])).
% 0.15/0.38  thf(f1,axiom,(
% 0.15/0.38    ! [X0 : $i > $i] : (nil = (map @ X0 @ nil))),
% 0.15/0.38    file('/export/starexec/sandbox2/tmp/tmp.8Ltwmt8eHN/Vampire---4.8_11277',ax1)).
% 0.15/0.38  thf(f12,plain,(
% 0.15/0.38    ( ! [X2 : $i,X0 : $i,X1 : $i > $i] : (((cons @ (X1 @ X2) @ (map @ X1 @ X0)) = (map @ X1 @ (cons @ X2 @ X0)))) )),
% 0.15/0.38    inference(cnf_transformation,[],[f8])).
% 0.15/0.38  thf(f8,plain,(
% 0.15/0.38    ! [X0,X1 : $i > $i,X2] : ((cons @ (X1 @ X2) @ (map @ X1 @ X0)) = (map @ X1 @ (cons @ X2 @ X0)))),
% 0.15/0.38    inference(rectify,[],[f2])).
% 0.15/0.38  thf(f2,axiom,(
% 0.15/0.38    ! [X2,X0 : $i > $i,X1] : ((map @ X0 @ (cons @ X1 @ X2)) = (cons @ (X0 @ X1) @ (map @ X0 @ X2)))),
% 0.15/0.38    file('/export/starexec/sandbox2/tmp/tmp.8Ltwmt8eHN/Vampire---4.8_11277',ax2)).
% 0.15/0.38  thf(f13,plain,(
% 0.15/0.38    ((map @ (^[Y0 : $i]: (Y0)) @ (cons @ sK0 @ nil)) != (cons @ sK0 @ nil))),
% 0.15/0.38    inference(cnf_transformation,[],[f11])).
% 0.15/0.38  thf(f11,plain,(
% 0.15/0.38    ((map @ (^[Y0 : $i]: (Y0)) @ (cons @ sK0 @ nil)) != (cons @ sK0 @ nil))),
% 0.15/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
% 0.15/0.38  thf(f10,plain,(
% 0.15/0.38    ? [X0] : ((cons @ X0 @ nil) != (map @ (^[Y0 : $i]: (Y0)) @ (cons @ X0 @ nil))) => ((map @ (^[Y0 : $i]: (Y0)) @ (cons @ sK0 @ nil)) != (cons @ sK0 @ nil))),
% 0.15/0.38    introduced(choice_axiom,[])).
% 0.15/0.38  thf(f9,plain,(
% 0.15/0.38    ? [X0] : ((cons @ X0 @ nil) != (map @ (^[Y0 : $i]: (Y0)) @ (cons @ X0 @ nil)))),
% 0.15/0.38    inference(ennf_transformation,[],[f7])).
% 0.15/0.38  thf(f7,plain,(
% 0.15/0.38    ~! [X0] : ((cons @ X0 @ nil) = (map @ (^[Y0 : $i]: (Y0)) @ (cons @ X0 @ nil)))),
% 0.15/0.38    inference(fool_elimination,[],[f6])).
% 0.15/0.38  thf(f6,plain,(
% 0.15/0.38    ~! [X0] : ((cons @ X0 @ nil) = (map @ (^[X1 : $i] : (X1)) @ (cons @ X0 @ nil)))),
% 0.15/0.38    inference(rectify,[],[f4])).
% 0.15/0.38  thf(f4,negated_conjecture,(
% 0.15/0.38    ~! [X3] : ((cons @ X3 @ nil) = (map @ (^[X1 : $i] : (X1)) @ (cons @ X3 @ nil)))),
% 0.15/0.38    inference(negated_conjecture,[],[f3])).
% 0.15/0.38  thf(f3,conjecture,(
% 0.15/0.38    ! [X3] : ((cons @ X3 @ nil) = (map @ (^[X1 : $i] : (X1)) @ (cons @ X3 @ nil)))),
% 0.15/0.38    file('/export/starexec/sandbox2/tmp/tmp.8Ltwmt8eHN/Vampire---4.8_11277',test)).
% 0.15/0.38  % SZS output end Proof for Vampire---4
% 0.15/0.38  % (11447)------------------------------
% 0.15/0.38  % (11447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (11447)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (11447)Memory used [KB]: 5500
% 0.15/0.38  % (11447)Time elapsed: 0.006 s
% 0.15/0.38  % (11447)Instructions burned: 4 (million)
% 0.15/0.38  % (11447)------------------------------
% 0.15/0.38  % (11447)------------------------------
% 0.15/0.38  % (11446)Success in time 0.017 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------