TSTP Solution File: LCL193-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL193-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : Thu Aug 31 06:48:22 EDT 2023
% Result : Unsatisfiable 0.86s 0.94s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL193-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.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 : Fri Aug 25 05:27:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.86/0.93 %-------------------------------------------
% 0.86/0.93 % File :CSE---1.6
% 0.86/0.93 % Problem :theBenchmark
% 0.86/0.93 % Transform :cnf
% 0.86/0.94 % Format :tptp:raw
% 0.86/0.94 % Command :java -jar mcs_scs.jar %d %s
% 0.86/0.94
% 0.86/0.94 % Result :Theorem 0.320000s
% 0.86/0.94 % Output :CNFRefutation 0.320000s
% 0.86/0.94 %-------------------------------------------
% 0.86/0.94 %--------------------------------------------------------------------------
% 0.86/0.94 % File : LCL193-1 : TPTP v8.1.2. Released v1.1.0.
% 0.86/0.94 % Domain : Logic Calculi (Propositional)
% 0.86/0.94 % Problem : Principia Mathematica 2.36
% 0.86/0.94 % Version : [WR27] axioms : Reduced & Augmented.
% 0.86/0.94 % English :
% 0.86/0.94
% 0.86/0.94 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.86/0.94 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 0.86/0.94 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 0.86/0.94 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 0.86/0.94 % Source : [SE94]
% 0.86/0.94 % Names : Problem 2.36 [WR27]
% 0.86/0.94
% 0.86/0.94 % Status : Unsatisfiable
% 0.86/0.94 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.1.0, 0.00 v2.0.0
% 0.86/0.94 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.86/0.94 % Number of literals : 14 ( 0 equ; 6 neg)
% 0.86/0.94 % Maximal clause size : 3 ( 1 avg)
% 0.86/0.94 % Maximal term depth : 5 ( 2 avg)
% 0.86/0.94 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 0.86/0.94 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.86/0.94 % Number of variables : 17 ( 1 sgn)
% 0.86/0.94 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.86/0.94
% 0.86/0.94 % Comments : Reduced to use only or and not, and includes a redundant rule
% 0.86/0.94 % of transitivity of implication, and a reduced rule of
% 0.86/0.94 % detachment.
% 0.86/0.94 %--------------------------------------------------------------------------
% 0.86/0.94 %----Include axioms of propositional logic
% 0.86/0.94 include('Axioms/LCL003-0.ax').
% 0.86/0.94 %--------------------------------------------------------------------------
% 0.86/0.94 cnf(prove_this,negated_conjecture,
% 0.86/0.94 ~ theorem(or(not(or(not(q),r)),or(not(or(p,q)),or(r,p)))) ).
% 0.86/0.94
% 0.86/0.94 %--------------------------------------------------------------------------
% 0.86/0.94 %-------------------------------------------
% 0.86/0.94 % Proof found
% 0.86/0.94 % SZS status Theorem for theBenchmark
% 0.86/0.94 % SZS output start Proof
% 0.86/0.94 %ClaNum:9(EqnAxiom:0)
% 0.86/0.94 %VarNum:34(SingletonVarNum:17)
% 0.86/0.94 %MaxLitNum:3
% 0.86/0.94 %MaxfuncDepth:3
% 0.86/0.94 %SharedTerms:12
% 0.86/0.94 %goalClause: 6
% 0.86/0.94 %singleGoalClaCount:1
% 0.86/0.94 [6]~P2(f2(f1(f2(f1(a3),a5)),f2(f1(f2(a4,a3)),f2(a5,a4))))
% 0.86/0.94 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.86/0.94 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.86/0.94 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.86/0.94 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.86/0.94 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.86/0.94 [7]~P1(x71)+P2(x71)
% 0.86/0.94 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 0.86/0.94 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 0.86/0.94 %EqnAxiom
% 0.86/0.94
% 0.86/0.94 %-------------------------------------------
% 0.86/0.95 cnf(11,plain,
% 0.86/0.95 (~P2(f2(f1(f2(a4,a3)),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[6,1,7,8])).
% 0.86/0.95 cnf(12,plain,
% 0.86/0.95 (P1(f2(f1(x121),f2(x122,x121)))),
% 0.86/0.95 inference(rename_variables,[],[1])).
% 0.86/0.95 cnf(14,plain,
% 0.86/0.95 (~P2(f2(f1(f2(x141,f2(a4,a3))),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[6,1,12,7,8,9])).
% 0.86/0.95 cnf(17,plain,
% 0.86/0.95 (P2(f2(f1(f2(x171,x171)),x171))),
% 0.86/0.95 inference(scs_inference,[],[2,7])).
% 0.86/0.95 cnf(19,plain,
% 0.86/0.95 (P2(f2(f1(f2(x191,f2(f2(x191,x192),x192))),f2(x191,x192)))),
% 0.86/0.95 inference(scs_inference,[],[2,4,7,9])).
% 0.86/0.95 cnf(24,plain,
% 0.86/0.95 (P2(f2(f1(x241),x241))),
% 0.86/0.95 inference(scs_inference,[],[1,11,17,7,9])).
% 0.86/0.95 cnf(30,plain,
% 0.86/0.95 (~P2(f2(a5,a4))),
% 0.86/0.95 inference(scs_inference,[],[1,11,8])).
% 0.86/0.95 cnf(31,plain,
% 0.86/0.95 (P1(f2(f1(x311),f2(x312,x311)))),
% 0.86/0.95 inference(rename_variables,[],[1])).
% 0.86/0.95 cnf(33,plain,
% 0.86/0.95 (P2(f2(f1(x331),f2(x332,x331)))),
% 0.86/0.95 inference(scs_inference,[],[1,31,11,8,7])).
% 0.86/0.95 cnf(35,plain,
% 0.86/0.95 (~P2(f2(f1(f2(a3,a4)),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[1,31,3,11,8,7,9])).
% 0.86/0.95 cnf(43,plain,
% 0.86/0.95 (P2(f2(f1(f2(x431,x432)),f2(x431,f2(x433,x432))))),
% 0.86/0.95 inference(scs_inference,[],[5,33,8])).
% 0.86/0.95 cnf(53,plain,
% 0.86/0.95 (P1(f2(f1(f2(x531,x532)),f2(x532,x531)))),
% 0.86/0.95 inference(rename_variables,[],[3])).
% 0.86/0.95 cnf(57,plain,
% 0.86/0.95 (~P2(f2(f1(f2(f2(a4,a3),x571)),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[3,53,14,8,7,9])).
% 0.86/0.95 cnf(63,plain,
% 0.86/0.95 (P2(f2(f1(f2(x631,x632)),f2(x632,x631)))),
% 0.86/0.95 inference(scs_inference,[],[3,17,30,8,7])).
% 0.86/0.95 cnf(65,plain,
% 0.86/0.95 (P2(f2(f1(f2(f2(x651,x651),f2(x651,x651))),x651))),
% 0.86/0.95 inference(scs_inference,[],[3,17,30,2,8,7,9])).
% 0.86/0.95 cnf(119,plain,
% 0.86/0.95 (~P2(f2(f1(f2(x1191,f2(x1192,f2(a4,a3)))),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[14,65,5,1,8,9])).
% 0.86/0.95 cnf(135,plain,
% 0.86/0.95 (P1(f2(f1(f2(x1351,f2(x1352,x1353))),f2(x1352,f2(x1351,x1353))))),
% 0.86/0.95 inference(rename_variables,[],[4])).
% 0.86/0.95 cnf(137,plain,
% 0.86/0.95 (~P2(f2(f1(f2(x1371,f2(f2(a4,a3),x1372))),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[43,57,4,135,8,9])).
% 0.86/0.95 cnf(147,plain,
% 0.86/0.95 (P2(f2(f1(f2(f2(f2(x1471,x1472),x1472),x1471)),f2(x1471,x1472)))),
% 0.86/0.95 inference(scs_inference,[],[19,137,5,3,8,9])).
% 0.86/0.95 cnf(159,plain,
% 0.86/0.95 (~P2(f2(f1(f2(x1591,f2(a3,a4))),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[24,35,4,1,8,9])).
% 0.86/0.95 cnf(162,plain,
% 0.86/0.95 (~P2(f2(f1(f2(x1621,f2(a4,a3))),a4))),
% 0.86/0.95 inference(scs_inference,[],[119,5,8])).
% 0.86/0.95 cnf(190,plain,
% 0.86/0.95 (P2(f2(f1(x1901),f2(x1901,x1902)))),
% 0.86/0.95 inference(scs_inference,[],[147,159,5,1,8,9])).
% 0.86/0.95 cnf(216,plain,
% 0.86/0.95 (~P2(f2(f2(a5,a4),f2(a5,a4)))),
% 0.86/0.95 inference(scs_inference,[],[30,2,8])).
% 0.86/0.95 cnf(231,plain,
% 0.86/0.95 (P2(f2(f1(f2(x2311,f2(x2312,x2313))),f2(x2311,f2(x2313,x2312))))),
% 0.86/0.95 inference(scs_inference,[],[57,63,5,7,8])).
% 0.86/0.95 cnf(425,plain,
% 0.86/0.95 (P2(f2(f1(f2(x4251,x4251)),f2(x4251,x4252)))),
% 0.86/0.95 inference(scs_inference,[],[162,190,2,3,8,9])).
% 0.86/0.95 cnf(551,plain,
% 0.86/0.95 ($false),
% 0.86/0.95 inference(scs_inference,[],[216,231,425,6,5,8,9]),
% 0.86/0.95 ['proof']).
% 0.86/0.95 % SZS output end Proof
% 0.86/0.95 % Total time :0.320000s
%------------------------------------------------------------------------------