TSTP Solution File: CAT014-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n001.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 : Wed Aug 31 15:51:18 EDT 2022

% Result   : Unsatisfiable 1.25s 0.53s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   23 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(subsumption_resolution,[],[f79,f22]) ).

fof(f22,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f19,f21,f20,f20]) ).

fof(f20,plain,
    codomain(a) = sF0,
    introduced(function_definition,[]) ).

fof(f21,plain,
    sF1 = codomain(sF0),
    introduced(function_definition,[]) ).

fof(f19,axiom,
    codomain(a) != codomain(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).

fof(f79,plain,
    sF0 = sF1,
    inference(resolution,[],[f64,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ product(sF1,sF0,X0)
      | sF0 = X0 ),
    inference(resolution,[],[f27,f18]) ).

fof(f18,axiom,
    ! [X2,X0,X1,X6] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X6)
      | X2 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).

fof(f27,plain,
    product(sF1,sF0,sF0),
    inference(superposition,[],[f15,f21]) ).

fof(f15,axiom,
    ! [X0] : product(codomain(X0),X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_codomain) ).

fof(f64,plain,
    product(sF1,sF0,sF1),
    inference(subsumption_resolution,[],[f63,f24]) ).

fof(f24,plain,
    identity_map(sF0),
    inference(superposition,[],[f11,f20]) ).

fof(f11,axiom,
    ! [X0] : identity_map(codomain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).

fof(f63,plain,
    ( product(sF1,sF0,sF1)
    | ~ identity_map(sF0) ),
    inference(resolution,[],[f17,f28]) ).

fof(f28,plain,
    defined(sF1,sF0),
    inference(superposition,[],[f13,f21]) ).

fof(f13,axiom,
    ! [X0] : defined(codomain(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | ~ identity_map(X1)
      | product(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:40:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (4934)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49  % (4918)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.50  TRYING [4]
% 0.19/0.50  % (4926)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.25/0.52  % (4913)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.52  % (4913)Refutation not found, incomplete strategy% (4913)------------------------------
% 1.25/0.52  % (4913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52  % (4913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52  % (4913)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.52  
% 1.25/0.52  % (4913)Memory used [KB]: 5373
% 1.25/0.52  % (4913)Time elapsed: 0.117 s
% 1.25/0.52  % (4913)Instructions burned: 3 (million)
% 1.25/0.52  % (4913)------------------------------
% 1.25/0.52  % (4913)------------------------------
% 1.25/0.52  % (4914)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.25/0.52  % (4915)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52  % (4920)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.25/0.52  % (4920)Instruction limit reached!
% 1.25/0.52  % (4920)------------------------------
% 1.25/0.52  % (4920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52  % (4920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52  % (4920)Termination reason: Unknown
% 1.25/0.52  % (4920)Termination phase: Blocked clause elimination
% 1.25/0.52  
% 1.25/0.52  % (4920)Memory used [KB]: 895
% 1.25/0.52  % (4920)Time elapsed: 0.004 s
% 1.25/0.52  % (4920)Instructions burned: 2 (million)
% 1.25/0.52  % (4920)------------------------------
% 1.25/0.52  % (4920)------------------------------
% 1.25/0.52  % (4930)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.25/0.53  % (4912)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.25/0.53  % (4916)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.53  TRYING [1]
% 1.25/0.53  % (4927)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.25/0.53  % (4941)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.25/0.53  % (4916)First to succeed.
% 1.25/0.53  TRYING [2]
% 1.25/0.53  % (4916)Refutation found. Thanks to Tanya!
% 1.25/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.25/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.53  % (4916)------------------------------
% 1.25/0.53  % (4916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (4916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (4916)Termination reason: Refutation
% 1.25/0.53  
% 1.25/0.53  % (4916)Memory used [KB]: 5500
% 1.25/0.53  % (4916)Time elapsed: 0.128 s
% 1.25/0.53  % (4916)Instructions burned: 3 (million)
% 1.25/0.53  % (4916)------------------------------
% 1.25/0.53  % (4916)------------------------------
% 1.25/0.53  % (4911)Success in time 0.177 s
%------------------------------------------------------------------------------