TSTP Solution File: SYN726-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n019.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 : Fri Sep  1 01:47:07 EDT 2023

% Result   : Unsatisfiable 1.26s 1.42s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n019.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   : Sat Aug 26 19:28:43 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 1.26/1.41  %-------------------------------------------
% 1.26/1.41  % File        :CSE---1.6
% 1.26/1.41  % Problem     :theBenchmark
% 1.26/1.41  % Transform   :cnf
% 1.26/1.41  % Format      :tptp:raw
% 1.26/1.41  % Command     :java -jar mcs_scs.jar %d %s
% 1.26/1.41  
% 1.26/1.41  % Result      :Theorem 0.780000s
% 1.26/1.41  % Output      :CNFRefutation 0.780000s
% 1.26/1.41  %-------------------------------------------
% 1.26/1.41  %--------------------------------------------------------------------------
% 1.26/1.41  % File     : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 1.26/1.41  % Domain   : Syntactic
% 1.26/1.41  % Problem  : Peter Andrews Problem THM400
% 1.26/1.41  % Version  : Especial.
% 1.26/1.41  % English  :
% 1.26/1.41  
% 1.26/1.41  % Refs     : [And97] Andrews (1994), Email to G. Sutcliffe
% 1.26/1.41  % Source   : [And97]
% 1.26/1.41  % Names    : THM400 [And97]
% 1.26/1.41  
% 1.26/1.41  % Status   : Unsatisfiable
% 1.26/1.41  % Rating   : 0.00 v2.5.0
% 1.26/1.41  % Syntax   : Number of clauses     :    6 (   2 unt;   1 nHn;   5 RR)
% 1.26/1.41  %            Number of literals    :   12 (   0 equ;   7 neg)
% 1.26/1.41  %            Maximal clause size   :    3 (   2 avg)
% 1.26/1.41  %            Maximal term depth    :    1 (   1 avg)
% 1.26/1.41  %            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
% 1.26/1.41  %            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
% 1.26/1.41  %            Number of variables   :   10 (   0 sgn)
% 1.26/1.41  % SPC      : CNF_UNS_EPR_NEQ_NHN
% 1.26/1.41  
% 1.26/1.41  % Comments :
% 1.26/1.41  %--------------------------------------------------------------------------
% 1.26/1.41  cnf(thm400_1,negated_conjecture,
% 1.26/1.41      ( p(A,C)
% 1.26/1.41      | ~ p(A,B)
% 1.26/1.41      | ~ p(B,C) ) ).
% 1.26/1.41  
% 1.26/1.41  cnf(thm400_2,negated_conjecture,
% 1.26/1.41      ( q(A,C)
% 1.26/1.41      | ~ q(A,B)
% 1.26/1.41      | ~ q(B,C) ) ).
% 1.26/1.41  
% 1.26/1.41  cnf(thm400_3,negated_conjecture,
% 1.26/1.41      ( q(B,A)
% 1.26/1.41      | ~ q(A,B) ) ).
% 1.26/1.41  
% 1.26/1.41  cnf(thm400_4,negated_conjecture,
% 1.26/1.41      ( p(A,B)
% 1.26/1.41      | q(A,B) ) ).
% 1.26/1.41  
% 1.26/1.41  cnf(thm400_5,negated_conjecture,
% 1.26/1.41      ~ p(sk1,sk2) ).
% 1.26/1.41  
% 1.26/1.41  cnf(thm400_6,negated_conjecture,
% 1.26/1.41      ~ q(sk3,sk4) ).
% 1.26/1.42  
% 1.26/1.42  %--------------------------------------------------------------------------
% 1.26/1.42  %-------------------------------------------
% 1.26/1.42  % Proof found
% 1.26/1.42  % SZS status Theorem for theBenchmark
% 1.26/1.42  % SZS output start Proof
% 1.26/1.42  %ClaNum:6(EqnAxiom:0)
% 1.26/1.42  %VarNum:20(SingletonVarNum:10)
% 1.26/1.42  %MaxLitNum:3
% 1.26/1.42  %MaxfuncDepth:0
% 1.26/1.42  %SharedTerms:6
% 1.26/1.42  %goalClause: 1 2 3 4 5 6
% 1.26/1.42  %singleGoalClaCount:2
% 1.26/1.42  [1]~P1(a1,a2)
% 1.26/1.42  [2]~P2(a3,a4)
% 1.26/1.42  [3]P2(x31,x32)+P1(x31,x32)
% 1.26/1.42  [4]~P2(x42,x41)+P2(x41,x42)
% 1.26/1.42  [5]~P1(x51,x53)+P1(x51,x52)+~P1(x53,x52)
% 1.26/1.42  [6]~P2(x61,x63)+P2(x61,x62)+~P2(x63,x62)
% 1.26/1.42  %EqnAxiom
% 1.26/1.42  
% 1.26/1.42  %-------------------------------------------
% 1.26/1.42  cnf(7,plain,
% 1.26/1.42     (~P2(a4,a3)),
% 1.26/1.42     inference(scs_inference,[],[2,4])).
% 1.26/1.42  cnf(8,plain,
% 1.26/1.42     (P2(a1,a2)),
% 1.26/1.42     inference(scs_inference,[],[1,2,4,3])).
% 1.26/1.42  cnf(9,plain,
% 1.26/1.42     (~P2(a2,x91)+P2(a1,x91)),
% 1.26/1.42     inference(scs_inference,[],[1,2,4,3,6])).
% 1.26/1.42  cnf(11,plain,
% 1.26/1.42     (~P1(x111,a2)+~P1(a1,x111)),
% 1.26/1.42     inference(scs_inference,[],[1,2,4,3,6,5])).
% 1.26/1.42  cnf(15,plain,
% 1.26/1.42     (P1(a3,a4)),
% 1.26/1.42     inference(scs_inference,[],[2,8,4,3])).
% 1.26/1.42  cnf(19,plain,
% 1.26/1.42     (~P1(a4,x191)+P1(a3,x191)),
% 1.26/1.42     inference(scs_inference,[],[2,8,4,3,9,5])).
% 1.26/1.42  cnf(27,plain,
% 1.26/1.42     (~P2(x271,a4)+~P2(a3,x271)),
% 1.26/1.42     inference(scs_inference,[],[2,7,15,5,3,6])).
% 1.26/1.42  cnf(33,plain,
% 1.26/1.42     (~P2(x331,a3)+~P2(a4,x331)),
% 1.26/1.42     inference(scs_inference,[],[7,6])).
% 1.26/1.42  cnf(35,plain,
% 1.26/1.42     (~P2(a4,a1)+~P2(a2,a3)),
% 1.26/1.42     inference(scs_inference,[],[7,6,9])).
% 1.26/1.42  cnf(37,plain,
% 1.26/1.42     (P2(a1,x371)+~P1(x371,a2)),
% 1.26/1.42     inference(scs_inference,[],[11,3])).
% 1.26/1.42  cnf(38,plain,
% 1.26/1.42     (~P2(x381,a3)+~P2(x381,a4)),
% 1.26/1.42     inference(scs_inference,[],[27,4])).
% 1.26/1.42  cnf(39,plain,
% 1.26/1.42     (P1(a4,x391)+~P2(x391,a3)),
% 1.26/1.42     inference(scs_inference,[],[33,3])).
% 1.26/1.42  cnf(41,plain,
% 1.26/1.42     (P2(a1,a3)+~P1(a4,a2)),
% 1.26/1.42     inference(scs_inference,[],[37,19])).
% 1.26/1.42  cnf(42,plain,
% 1.26/1.42     (~P2(a1,a3)+~P2(a2,a4)),
% 1.26/1.42     inference(scs_inference,[],[38,9])).
% 1.26/1.42  cnf(108,plain,
% 1.26/1.42     (P2(x1081,a1)+~P1(x1081,a2)),
% 1.26/1.42     inference(scs_inference,[],[4,37])).
% 1.26/1.42  cnf(109,plain,
% 1.26/1.42     (P2(x1091,a2)+P2(x1091,a1)),
% 1.26/1.42     inference(scs_inference,[],[108,3])).
% 1.26/1.42  cnf(123,plain,
% 1.26/1.42     (P2(a3,a1)+~P1(a4,a2)),
% 1.26/1.42     inference(scs_inference,[],[4,41])).
% 1.26/1.42  cnf(124,plain,
% 1.26/1.42     (P2(a4,a2)+P2(a3,a1)),
% 1.26/1.42     inference(scs_inference,[],[123,3])).
% 1.26/1.42  cnf(177,plain,
% 1.26/1.42     (P2(a2,x1771)+P2(x1771,a1)),
% 1.26/1.42     inference(scs_inference,[],[4,109])).
% 1.26/1.42  cnf(178,plain,
% 1.26/1.42     (P2(a2,a3)+~P2(a1,a4)),
% 1.26/1.42     inference(scs_inference,[],[177,27])).
% 1.26/1.42  cnf(179,plain,
% 1.26/1.42     (P1(a1,a4)+P2(a2,a3)),
% 1.26/1.42     inference(scs_inference,[],[178,3])).
% 1.26/1.42  cnf(191,plain,
% 1.26/1.42     (P2(a1,x1911)+P2(x1911,a2)),
% 1.26/1.42     inference(scs_inference,[],[4,109])).
% 1.26/1.42  cnf(192,plain,
% 1.26/1.42     (P2(a1,a3)+~P2(a2,a4)),
% 1.26/1.42     inference(scs_inference,[],[191,27])).
% 1.26/1.42  cnf(193,plain,
% 1.26/1.42     (P2(a1,a3)+P2(a4,a1)),
% 1.26/1.42     inference(scs_inference,[],[192,177])).
% 1.26/1.42  cnf(195,plain,
% 1.26/1.42     (~P2(a3,x1951)+P1(a4,x1951)),
% 1.26/1.42     inference(scs_inference,[],[4,39])).
% 1.26/1.42  cnf(219,plain,
% 1.26/1.42     (~P2(a3,a1)+~P2(a2,a4)),
% 1.26/1.42     inference(scs_inference,[],[4,42])).
% 1.26/1.42  cnf(220,plain,
% 1.26/1.42     (~P2(a3,a1)+P2(a4,a1)),
% 1.26/1.42     inference(scs_inference,[],[219,177])).
% 1.26/1.42  cnf(223,plain,
% 1.26/1.42     (~P2(a3,a1)+~P2(a1,a3)),
% 1.26/1.42     inference(scs_inference,[],[220,33])).
% 1.26/1.42  cnf(225,plain,
% 1.26/1.42     (~P2(a3,a1)+~P2(a2,a3)),
% 1.26/1.42     inference(scs_inference,[],[223,9])).
% 1.26/1.42  cnf(227,plain,
% 1.26/1.42     (P1(a1,a4)+~P2(a3,a1)),
% 1.26/1.42     inference(scs_inference,[],[225,179])).
% 1.26/1.42  cnf(229,plain,
% 1.26/1.42     (~P2(a3,a1)+~P1(a4,a2)),
% 1.26/1.42     inference(scs_inference,[],[227,11])).
% 1.26/1.42  cnf(231,plain,
% 1.26/1.42     (~P2(a3,a1)+~P2(a3,a2)),
% 1.26/1.42     inference(scs_inference,[],[229,195])).
% 1.26/1.42  cnf(234,plain,
% 1.26/1.42     (P2(a2,a4)+P2(a3,a1)),
% 1.26/1.42     inference(scs_inference,[],[4,124])).
% 1.26/1.42  cnf(235,plain,
% 1.26/1.42     (P2(a3,a1)+P2(a1,a4)),
% 1.26/1.42     inference(scs_inference,[],[234,9])).
% 1.26/1.42  cnf(251,plain,
% 1.26/1.42     (P2(a1,x2511)+P2(a2,x2511)),
% 1.26/1.42     inference(scs_inference,[],[4,177])).
% 1.26/1.42  cnf(252,plain,
% 1.26/1.42     (~P2(a4,a1)+P2(a1,a3)),
% 1.26/1.42     inference(scs_inference,[],[251,35])).
% 1.26/1.42  cnf(253,plain,
% 1.26/1.42     (P2(a1,a3)),
% 1.26/1.42     inference(scs_inference,[],[252,193])).
% 1.26/1.42  cnf(272,plain,
% 1.26/1.42     ($false),
% 1.26/1.42     inference(scs_inference,[],[253,38,37,4,3,251,235,231,225,220]),
% 1.26/1.42     ['proof']).
% 1.26/1.42  % SZS output end Proof
% 1.26/1.42  % Total time :0.780000s
%------------------------------------------------------------------------------