TSTP Solution File: SYN310-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN310-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 01:45:07 EDT 2023
% Result : Unsatisfiable 0.19s 0.71s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN310-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n008.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 : Sat Aug 26 20:29:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 % File :CSE---1.6
% 0.19/0.71 % Problem :theBenchmark
% 0.19/0.71 % Transform :cnf
% 0.19/0.71 % Format :tptp:raw
% 0.19/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.71
% 0.19/0.71 % Result :Theorem 0.080000s
% 0.19/0.71 % Output :CNFRefutation 0.080000s
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 %--------------------------------------------------------------------------
% 0.19/0.71 % File : SYN310-1 : TPTP v8.1.2. Released v1.2.0.
% 0.19/0.71 % Domain : Syntactic
% 0.19/0.71 % Problem : Problem for testing satisfiability
% 0.19/0.71 % Version : Especial.
% 0.19/0.71 % English :
% 0.19/0.71
% 0.19/0.71 % Refs : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.19/0.71 % Source : [FL+93]
% 0.19/0.71 % Names : H1 [FL+93]
% 0.19/0.71
% 0.19/0.71 % Status : Unsatisfiable
% 0.19/0.71 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.00 v5.3.0, 0.05 v5.2.0, 0.00 v2.2.1, 0.17 v2.1.0, 0.00 v2.0.0
% 0.19/0.71 % Syntax : Number of clauses : 6 ( 2 unt; 0 nHn; 6 RR)
% 0.19/0.71 % Number of literals : 10 ( 0 equ; 5 neg)
% 0.19/0.71 % Maximal clause size : 2 ( 1 avg)
% 0.19/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.71 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.19/0.71 % Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% 0.19/0.71 % Number of variables : 12 ( 0 sgn)
% 0.19/0.71 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.71
% 0.19/0.71 % Comments : This set belongs to the class PVD [FL+93] p.192.
% 0.19/0.71 %--------------------------------------------------------------------------
% 0.19/0.71 cnf(clause1,negated_conjecture,
% 0.19/0.71 ( ~ p(X2,X1,X)
% 0.19/0.71 | p(X,X1,X2) ) ).
% 0.19/0.71
% 0.19/0.71 cnf(clause2,negated_conjecture,
% 0.19/0.71 ( ~ p(X1,X,X2)
% 0.19/0.71 | p(X,X1,X2) ) ).
% 0.19/0.71
% 0.19/0.71 cnf(clause3,negated_conjecture,
% 0.19/0.71 ( ~ p(X,X1,g(X2))
% 0.19/0.71 | p(X,X1,X2) ) ).
% 0.19/0.71
% 0.19/0.71 cnf(clause4,negated_conjecture,
% 0.19/0.71 ( ~ p(f(X),X1,X2)
% 0.19/0.71 | p(X,X1,X2) ) ).
% 0.19/0.71
% 0.19/0.71 cnf(clause5,negated_conjecture,
% 0.19/0.71 ~ p(a,b,c) ).
% 0.19/0.71
% 0.19/0.71 cnf(clause6,negated_conjecture,
% 0.19/0.71 p(f(g(a)),f(g(b)),f(g(c))) ).
% 0.19/0.71
% 0.19/0.71 %--------------------------------------------------------------------------
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 % Proof found
% 0.19/0.71 % SZS status Theorem for theBenchmark
% 0.19/0.71 % SZS output start Proof
% 0.19/0.71 %ClaNum:6(EqnAxiom:0)
% 0.19/0.71 %VarNum:24(SingletonVarNum:12)
% 0.19/0.71 %MaxLitNum:2
% 0.19/0.71 %MaxfuncDepth:2
% 0.19/0.71 %SharedTerms:11
% 0.19/0.71 %goalClause: 1 2 3 4 5 6
% 0.19/0.71 %singleGoalClaCount:2
% 0.19/0.71 [2]~P1(a1,a4,a5)
% 0.19/0.71 [1]P1(f3(f2(a1)),f3(f2(a4)),f3(f2(a5)))
% 0.19/0.71 [3]~P1(x33,x32,x31)+P1(x31,x32,x33)
% 0.19/0.71 [4]~P1(x42,x41,x43)+P1(x41,x42,x43)
% 0.19/0.71 [5]P1(x51,x52,x53)+~P1(x51,x52,f2(x53))
% 0.19/0.71 [6]P1(x61,x62,x63)+~P1(f3(x61),x62,x63)
% 0.19/0.71 %EqnAxiom
% 0.19/0.71
% 0.19/0.71 %-------------------------------------------
% 0.19/0.72 cnf(7,plain,
% 0.19/0.72 (~P1(a4,a1,a5)),
% 0.19/0.72 inference(scs_inference,[],[2,4])).
% 0.19/0.72 cnf(8,plain,
% 0.19/0.72 (~P1(a5,a4,a1)),
% 0.19/0.72 inference(scs_inference,[],[2,4,3])).
% 0.19/0.72 cnf(9,plain,
% 0.19/0.72 (P1(f2(a1),f3(f2(a4)),f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[1,2,4,3,6])).
% 0.19/0.72 cnf(11,plain,
% 0.19/0.72 (~P1(a1,a4,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[1,2,4,3,6,5])).
% 0.19/0.72 cnf(13,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f3(f2(a1)),f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[1,4])).
% 0.19/0.72 cnf(15,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f3(f2(a4)),f3(f2(a1)))),
% 0.19/0.72 inference(scs_inference,[],[1,4,3])).
% 0.19/0.72 cnf(17,plain,
% 0.19/0.72 (~P1(f3(a1),a4,a5)),
% 0.19/0.72 inference(scs_inference,[],[1,2,4,3,6])).
% 0.19/0.72 cnf(19,plain,
% 0.19/0.72 (~P1(a4,a1,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[11,4])).
% 0.19/0.72 cnf(21,plain,
% 0.19/0.72 (~P1(a5,a1,a4)),
% 0.19/0.72 inference(scs_inference,[],[7,11,4,3])).
% 0.19/0.72 cnf(23,plain,
% 0.19/0.72 (P1(f2(a4),f3(f2(a1)),f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[7,13,11,4,3,6])).
% 0.19/0.72 cnf(25,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f2(a1),f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[9,4])).
% 0.19/0.72 cnf(27,plain,
% 0.19/0.72 (~P1(f3(a4),a1,a5)),
% 0.19/0.72 inference(scs_inference,[],[7,9,4,6])).
% 0.19/0.72 cnf(29,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f3(f2(a4)),f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[7,9,4,6,3])).
% 0.19/0.72 cnf(31,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f3(f2(a4)),a1)),
% 0.19/0.72 inference(scs_inference,[],[7,9,4,6,3,5])).
% 0.19/0.72 cnf(33,plain,
% 0.19/0.72 (~P1(a5,a4,f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[8,5])).
% 0.19/0.72 cnf(35,plain,
% 0.19/0.72 (~P1(a4,a5,a1)),
% 0.19/0.72 inference(scs_inference,[],[8,5,4])).
% 0.19/0.72 cnf(37,plain,
% 0.19/0.72 (~P1(a5,a4,f3(a1))),
% 0.19/0.72 inference(scs_inference,[],[8,17,5,4,3])).
% 0.19/0.72 cnf(39,plain,
% 0.19/0.72 (P1(f2(a5),f3(f2(a4)),a1)),
% 0.19/0.72 inference(scs_inference,[],[8,17,31,5,4,3,6])).
% 0.19/0.72 cnf(41,plain,
% 0.19/0.72 (P1(f3(f2(a1)),f2(a4),f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[23,4])).
% 0.19/0.72 cnf(43,plain,
% 0.19/0.72 (~P1(f3(a5),a4,a1)),
% 0.19/0.72 inference(scs_inference,[],[8,23,4,6])).
% 0.19/0.72 cnf(47,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f3(f2(a1)),a4)),
% 0.19/0.72 inference(scs_inference,[],[8,23,4,6,3,5])).
% 0.19/0.72 cnf(53,plain,
% 0.19/0.72 (P1(f2(a5),f3(f2(a1)),a4)),
% 0.19/0.72 inference(scs_inference,[],[19,27,47,4,5,6])).
% 0.19/0.72 cnf(55,plain,
% 0.19/0.72 (~P1(f2(a5),a1,a4)),
% 0.19/0.72 inference(scs_inference,[],[19,27,47,4,5,6,3])).
% 0.19/0.72 cnf(59,plain,
% 0.19/0.72 (~P1(f3(a5),a4,f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[33,39,4,6])).
% 0.19/0.72 cnf(63,plain,
% 0.19/0.72 (P1(a1,f3(f2(a4)),a5)),
% 0.19/0.72 inference(scs_inference,[],[33,39,4,6,3,5])).
% 0.19/0.72 cnf(67,plain,
% 0.19/0.72 (~P1(a1,a4,f2(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[11,43,4,5])).
% 0.19/0.72 cnf(71,plain,
% 0.19/0.72 (~P1(f2(a5),a4,a1)),
% 0.19/0.72 inference(scs_inference,[],[11,43,25,4,5,6,3])).
% 0.19/0.72 cnf(73,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f3(f2(a5)),f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[29,4])).
% 0.19/0.72 cnf(75,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f3(f2(a5)),a1)),
% 0.19/0.72 inference(scs_inference,[],[29,4,5])).
% 0.19/0.72 cnf(77,plain,
% 0.19/0.72 (~P1(f3(a1),a4,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[11,29,4,5,6])).
% 0.19/0.72 cnf(79,plain,
% 0.19/0.72 (P1(a5,f3(f2(a4)),a1)),
% 0.19/0.72 inference(scs_inference,[],[11,29,63,4,5,6,3])).
% 0.19/0.72 cnf(81,plain,
% 0.19/0.72 (~P1(a1,a5,a4)),
% 0.19/0.72 inference(scs_inference,[],[21,4])).
% 0.19/0.72 cnf(85,plain,
% 0.19/0.72 (P1(f2(a5),f3(f2(a4)),f3(f2(a1)))),
% 0.19/0.72 inference(scs_inference,[],[21,15,4,5,6])).
% 0.19/0.72 cnf(87,plain,
% 0.19/0.72 (~P1(f2(a1),a4,f3(a5))),
% 0.19/0.72 inference(scs_inference,[],[21,15,59,4,5,6,3])).
% 0.19/0.72 cnf(93,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f3(f2(a1)),f3(f2(a4)))),
% 0.19/0.72 inference(scs_inference,[],[13,71,79,4,6,3])).
% 0.19/0.72 cnf(95,plain,
% 0.19/0.72 (~P1(f2(a5),a4,f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[13,71,79,4,6,3,5])).
% 0.19/0.72 cnf(99,plain,
% 0.19/0.72 (P1(f2(a4),f3(f2(a5)),a1)),
% 0.19/0.72 inference(scs_inference,[],[77,75,4,6])).
% 0.19/0.72 cnf(101,plain,
% 0.19/0.72 (~P1(f2(f2(a5)),a4,a1)),
% 0.19/0.72 inference(scs_inference,[],[67,77,75,4,6,3])).
% 0.19/0.72 cnf(109,plain,
% 0.19/0.72 (P1(f3(f2(a1)),f3(f2(a4)),a5)),
% 0.19/0.72 inference(scs_inference,[],[15,35,85,4,6,3,5])).
% 0.19/0.72 cnf(115,plain,
% 0.19/0.72 (P1(f2(a5),f3(f2(a1)),f3(f2(a4)))),
% 0.19/0.72 inference(scs_inference,[],[17,93,87,4,5,6])).
% 0.19/0.72 cnf(117,plain,
% 0.19/0.72 (~P1(f2(a1),a4,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[17,93,87,95,4,5,6,3])).
% 0.19/0.72 cnf(119,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f3(f2(a1)),a5)),
% 0.19/0.72 inference(scs_inference,[],[109,4])).
% 0.19/0.72 cnf(121,plain,
% 0.19/0.72 (~P1(f3(f3(a1)),a4,a5)),
% 0.19/0.72 inference(scs_inference,[],[17,109,4,6])).
% 0.19/0.72 cnf(123,plain,
% 0.19/0.72 (P1(a5,f3(f2(a4)),f3(f2(a1)))),
% 0.19/0.72 inference(scs_inference,[],[17,109,4,6,3])).
% 0.19/0.72 cnf(128,plain,
% 0.19/0.72 (~P1(f3(a4),a1,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[19,117,4,6])).
% 0.19/0.72 cnf(138,plain,
% 0.19/0.72 (P1(a5,f3(f2(a1)),f3(f2(a4)))),
% 0.19/0.72 inference(scs_inference,[],[121,119,123,4,5,6,3])).
% 0.19/0.72 cnf(150,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f2(a4),f3(f2(a1)))),
% 0.19/0.72 inference(scs_inference,[],[138,41,4,6,3])).
% 0.19/0.72 cnf(156,plain,
% 0.19/0.72 (~P1(f2(a5),a1,f3(a4))),
% 0.19/0.72 inference(scs_inference,[],[128,4,6,3])).
% 0.19/0.72 cnf(162,plain,
% 0.19/0.72 (P1(f3(f2(a4)),f3(f2(a1)),f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[150,115,4,6,3])).
% 0.19/0.72 cnf(164,plain,
% 0.19/0.72 (~P1(f2(a5),a1,f2(a4))),
% 0.19/0.72 inference(scs_inference,[],[55,150,115,4,6,3,5])).
% 0.19/0.72 cnf(202,plain,
% 0.19/0.72 (~P1(f2(a4),a1,f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[81,156,164,4,5,6,3])).
% 0.19/0.72 cnf(206,plain,
% 0.19/0.72 (P1(f2(a5),f3(f2(a4)),f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[29,53,4,6])).
% 0.19/0.72 cnf(237,plain,
% 0.19/0.72 (P1(f2(a1),f3(f2(a4)),a5)),
% 0.19/0.72 inference(scs_inference,[],[73,206,4,6,3,5])).
% 0.19/0.72 cnf(253,plain,
% 0.19/0.72 (P1(f3(f2(a5)),f2(a4),a1)),
% 0.19/0.72 inference(scs_inference,[],[99,4])).
% 0.19/0.72 cnf(259,plain,
% 0.19/0.72 (~P1(a1,f2(a4),f2(a5))),
% 0.19/0.72 inference(scs_inference,[],[202,4])).
% 0.19/0.72 cnf(265,plain,
% 0.19/0.72 (P1(a5,f3(f2(a4)),f2(a1))),
% 0.19/0.72 inference(scs_inference,[],[37,237,162,202,4,5,6,3])).
% 0.19/0.72 cnf(291,plain,
% 0.19/0.72 (P1(f2(a5),f2(a4),a1)),
% 0.19/0.72 inference(scs_inference,[],[253,101,4,6])).
% 0.19/0.72 cnf(345,plain,
% 0.19/0.72 (P1(f3(f2(a1)),a4,f3(f2(a5)))),
% 0.19/0.72 inference(scs_inference,[],[47,3,4])).
% 0.19/0.72 cnf(374,plain,
% 0.19/0.72 ($false),
% 0.19/0.72 inference(scs_inference,[],[345,265,291,259,4,6,3]),
% 0.19/0.72 ['proof']).
% 0.19/0.72 % SZS output end Proof
% 0.19/0.72 % Total time :0.080000s
%------------------------------------------------------------------------------