TSTP Solution File: CAT010-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 19:01:15 EDT 2024

% Result   : Unsatisfiable 1.53s 0.59s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10239,plain,
    $false,
    inference(subsumption_resolution,[],[f10238,f16]) ).

fof(f16,axiom,
    codomain(compose(a,b)) != codomain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).

fof(f10238,plain,
    codomain(compose(a,b)) = codomain(a),
    inference(forward_demodulation,[],[f10237,f925]) ).

fof(f925,plain,
    codomain(a) = domain(codomain(a)),
    inference(superposition,[],[f612,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f612,plain,
    codomain(a) = ifeq2(true,true,domain(codomain(a)),codomain(a)),
    inference(superposition,[],[f58,f41]) ).

fof(f41,plain,
    true = there_exists(a),
    inference(superposition,[],[f36,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).

fof(f36,plain,
    true = ifeq(true,true,there_exists(a),true),
    inference(superposition,[],[f7,f32]) ).

fof(f32,plain,
    true = there_exists(domain(a)),
    inference(superposition,[],[f31,f3]) ).

fof(f31,plain,
    true = ifeq(true,true,there_exists(domain(a)),true),
    inference(superposition,[],[f9,f15]) ).

fof(f15,axiom,
    true = there_exists(compose(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).

fof(f9,axiom,
    ! [X3,X4] : true = ifeq(there_exists(compose(X3,X4)),true,there_exists(domain(X3)),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f7,axiom,
    ! [X3] : true = ifeq(there_exists(domain(X3)),true,there_exists(X3),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).

fof(f58,plain,
    ! [X0] : codomain(X0) = ifeq2(there_exists(X0),true,domain(codomain(X0)),codomain(X0)),
    inference(superposition,[],[f10,f14]) ).

fof(f14,axiom,
    ! [X3] : compose(codomain(X3),X3) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).

fof(f10,axiom,
    ! [X3,X4] : codomain(X4) = ifeq2(there_exists(compose(X3,X4)),true,domain(X3),codomain(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f10237,plain,
    codomain(compose(a,b)) = domain(codomain(a)),
    inference(forward_demodulation,[],[f10131,f2]) ).

fof(f10131,plain,
    codomain(compose(a,b)) = ifeq2(true,true,domain(codomain(a)),codomain(compose(a,b))),
    inference(superposition,[],[f148,f15]) ).

fof(f148,plain,
    ! [X0,X1] : codomain(compose(X0,X1)) = ifeq2(there_exists(compose(X0,X1)),true,domain(codomain(X0)),codomain(compose(X0,X1))),
    inference(superposition,[],[f10,f22]) ).

fof(f22,plain,
    ! [X0,X1] : compose(X0,X1) = compose(codomain(X0),compose(X0,X1)),
    inference(superposition,[],[f12,f14]) ).

fof(f12,axiom,
    ! [X3,X4,X5] : compose(X3,compose(X4,X5)) = compose(compose(X3,X4),X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 11:45:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.20/0.36  % (4083)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38  % (4087)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38  % (4086)WARNING: value z3 for option sas not known
% 0.20/0.38  TRYING [1]
% 0.20/0.38  % (4084)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  % (4085)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (4086)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  TRYING [2]
% 0.20/0.38  % (4088)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38  % (4089)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38  % (4090)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [1]
% 0.20/0.39  TRYING [2]
% 0.20/0.39  TRYING [4]
% 0.20/0.40  TRYING [3]
% 0.20/0.43  TRYING [5]
% 0.20/0.45  TRYING [4]
% 0.20/0.54  TRYING [6]
% 1.53/0.59  % (4086)First to succeed.
% 1.53/0.59  % (4086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4083"
% 1.53/0.59  % (4086)Refutation found. Thanks to Tanya!
% 1.53/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.59  % (4086)------------------------------
% 1.53/0.59  % (4086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/0.59  % (4086)Termination reason: Refutation
% 1.53/0.59  
% 1.53/0.59  % (4086)Memory used [KB]: 4375
% 1.53/0.59  % (4086)Time elapsed: 0.210 s
% 1.53/0.59  % (4086)Instructions burned: 552 (million)
% 1.53/0.59  % (4083)Success in time 0.215 s
%------------------------------------------------------------------------------