TSTP Solution File: DAT319^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT319^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n006.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 : Mon May 20 19:50:37 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : DAT319^1 : TPTP v8.2.0. Released v7.0.0.
% 0.04/0.14  % 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
% 0.15/0.36  % Computer : n006.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   : Sun May 19 23:42:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH1_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/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  % (9929)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)
% 0.21/0.39  % (9926)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)
% 0.21/0.39  % (9925)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.39  % (9928)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39  % (9927)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)
% 0.21/0.39  % (9931)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39  % (9930)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)
% 0.21/0.39  % (9932)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)
% 0.21/0.39  % Exception at run slice level
% 0.21/0.39  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.39  % (9928)Instruction limit reached!
% 0.21/0.39  % (9928)------------------------------
% 0.21/0.39  % (9928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (9928)Termination reason: Unknown
% 0.21/0.39  % (9928)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (9928)Memory used [KB]: 5373
% 0.21/0.39  % (9928)Time elapsed: 0.004 s
% 0.21/0.39  % (9928)Instructions burned: 2 (million)
% 0.21/0.39  % (9928)------------------------------
% 0.21/0.39  % (9928)------------------------------
% 0.21/0.40  % (9930)First to succeed.
% 0.21/0.40  % (9925)Also succeeded, but the first one will report.
% 0.21/0.40  % (9932)Instruction limit reached!
% 0.21/0.40  % (9932)------------------------------
% 0.21/0.40  % (9932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (9932)Termination reason: Unknown
% 0.21/0.40  % (9932)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (9932)Memory used [KB]: 5500
% 0.21/0.40  % (9932)Time elapsed: 0.006 s
% 0.21/0.40  % (9932)Instructions burned: 3 (million)
% 0.21/0.40  % (9932)------------------------------
% 0.21/0.40  % (9932)------------------------------
% 0.21/0.40  % (9926)Instruction limit reached!
% 0.21/0.40  % (9926)------------------------------
% 0.21/0.40  % (9926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (9926)Termination reason: Unknown
% 0.21/0.40  % (9926)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (9926)Memory used [KB]: 5500
% 0.21/0.40  % (9926)Time elapsed: 0.007 s
% 0.21/0.40  % (9926)Instructions burned: 4 (million)
% 0.21/0.40  % (9926)------------------------------
% 0.21/0.40  % (9926)------------------------------
% 0.21/0.40  % (9930)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Theorem for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% 0.21/0.40  thf(type_def_5, type, 'type/ind_types/list': ($tType) > $tType).
% 0.21/0.40  thf(type_def_7, type, sK0: $tType).
% 0.21/0.40  thf(func_def_0, type, 'type/ind_types/list': ($tType) > $tType).
% 0.21/0.40  thf(func_def_1, type, 'const/lists/APPEND': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.21/0.40  thf(func_def_2, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.21/0.40  thf(func_def_3, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.21/0.40  thf(func_def_7, type, sK1: sK0).
% 0.21/0.40  thf(func_def_8, type, sK2: 'type/ind_types/list' @ sK0).
% 0.21/0.40  thf(f14,plain,(
% 0.21/0.40    $false),
% 0.21/0.40    inference(trivial_inequality_removal,[],[f13])).
% 0.21/0.40  thf(f13,plain,(
% 0.21/0.40    (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2) != ('const/ind_types/CONS' @ sK0 @ sK1 @ sK2))),
% 0.21/0.40    inference(forward_demodulation,[],[f12,f11])).
% 0.21/0.40  thf(f11,plain,(
% 0.21/0.40    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X1) = X1)) )),
% 0.21/0.40    inference(cnf_transformation,[],[f1])).
% 0.21/0.40  thf(f1,axiom,(
% 0.21/0.40    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X1) = X1)),
% 0.21/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/APPEND_0')).
% 0.21/0.40  thf(f12,plain,(
% 0.21/0.40    (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2) != ('const/ind_types/CONS' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ 'const/ind_types/NIL' @ sK0 @ sK2)))),
% 0.21/0.40    inference(superposition,[],[f9,f10])).
% 0.21/0.40  thf(f10,plain,(
% 0.21/0.40    ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2) @ X3) = ('const/ind_types/CONS' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3)))) )),
% 0.21/0.40    inference(cnf_transformation,[],[f2])).
% 0.21/0.40  thf(f2,axiom,(
% 0.21/0.40    ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2) @ X3) = ('const/ind_types/CONS' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3)))),
% 0.21/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/APPEND_1')).
% 0.21/0.40  thf(f9,plain,(
% 0.21/0.40    (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2) != ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0) @ sK2))),
% 0.21/0.40    inference(cnf_transformation,[],[f8])).
% 0.21/0.40  thf(f8,plain,(
% 0.21/0.40    (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2) != ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0) @ sK2))),
% 0.21/0.40    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7])).
% 0.21/0.40  thf(f7,plain,(
% 0.21/0.40    ? [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/CONS' @ X0 @ X1 @ X2) != ('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) @ X2)) => (('const/ind_types/CONS' @ sK0 @ sK1 @ sK2) != ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0) @ sK2))),
% 0.21/0.40    introduced(choice_axiom,[])).
% 0.21/0.40  thf(f6,plain,(
% 0.21/0.40    ? [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/CONS' @ X0 @ X1 @ X2) != ('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) @ X2))),
% 0.21/0.40    inference(ennf_transformation,[],[f4])).
% 0.21/0.40  thf(f4,negated_conjecture,(
% 0.21/0.40    ~! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/CONS' @ X0 @ X1 @ X2) = ('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) @ X2))),
% 0.21/0.40    inference(negated_conjecture,[],[f3])).
% 0.21/0.40  thf(f3,conjecture,(
% 0.21/0.40    ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/CONS' @ X0 @ X1 @ X2) = ('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) @ X2))),
% 0.21/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/APPEND_SING_')).
% 0.21/0.40  % SZS output end Proof for theBenchmark
% 0.21/0.40  % (9930)------------------------------
% 0.21/0.40  % (9930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (9930)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (9930)Memory used [KB]: 5500
% 0.21/0.40  % (9930)Time elapsed: 0.006 s
% 0.21/0.40  % (9930)Instructions burned: 2 (million)
% 0.21/0.40  % (9930)------------------------------
% 0.21/0.40  % (9930)------------------------------
% 0.21/0.40  % (9924)Success in time 0.017 s
% 0.21/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------