TSTP Solution File: LCL178-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL178-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 06:48:15 EDT 2023
% Result : Unsatisfiable 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LCL178-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 05:46:23 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.47 start to proof:theBenchmark
% 0.14/0.52 %-------------------------------------------
% 0.14/0.52 % File :CSE---1.6
% 0.14/0.52 % Problem :theBenchmark
% 0.14/0.52 % Transform :cnf
% 0.14/0.52 % Format :tptp:raw
% 0.14/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.52
% 0.14/0.52 % Result :Theorem 0.010000s
% 0.14/0.52 % Output :CNFRefutation 0.010000s
% 0.14/0.52 %-------------------------------------------
% 0.14/0.52 %--------------------------------------------------------------------------
% 0.14/0.52 % File : LCL178-3 : TPTP v8.1.2. Released v2.3.0.
% 0.14/0.52 % Domain : Logic Calculi (Propositional)
% 0.14/0.52 % Problem : Principia Mathematica 2.12
% 0.14/0.52 % Version : [WR27] axioms.
% 0.14/0.52 % English :
% 0.14/0.52
% 0.14/0.52 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.14/0.52 % Source : [WR27]
% 0.14/0.52 % Names : Problem 2.12 [WR27]
% 0.14/0.52
% 0.14/0.52 % Status : Unsatisfiable
% 0.14/0.52 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.3.0
% 0.14/0.52 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 0.14/0.52 % Number of literals : 12 ( 1 equ; 4 neg)
% 0.14/0.52 % Maximal clause size : 3 ( 1 avg)
% 0.14/0.52 % Maximal term depth : 4 ( 2 avg)
% 0.14/0.52 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.14/0.52 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.14/0.52 % Number of variables : 16 ( 1 sgn)
% 0.14/0.53 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.14/0.53
% 0.14/0.53 % Comments :
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 %----Include axioms of propositional logic
% 0.14/0.53 include('Axioms/LCL004-0.ax').
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 cnf(prove_this,negated_conjecture,
% 0.14/0.53 ~ theorem(implies(p,not(not(p)))) ).
% 0.14/0.53
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % Proof found
% 0.14/0.53 % SZS status Theorem for theBenchmark
% 0.14/0.53 % SZS output start Proof
% 0.14/0.53 %ClaNum:8(EqnAxiom:0)
% 0.14/0.53 %VarNum:28(SingletonVarNum:14)
% 0.14/0.53 %MaxLitNum:3
% 0.14/0.53 %MaxfuncDepth:3
% 0.14/0.53 %SharedTerms:5
% 0.14/0.53 %goalClause: 6
% 0.14/0.53 %singleGoalClaCount:1
% 0.14/0.53 [6]~P2(f2(f1(a3),f1(f1(a3))))
% 0.14/0.53 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.14/0.53 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.14/0.53 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.14/0.53 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.14/0.53 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.14/0.53 [7]~P1(x71)+P2(x71)
% 0.14/0.53 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 0.14/0.53 %EqnAxiom
% 0.14/0.53
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 cnf(10,plain,
% 0.14/0.53 (~P2(x101)+~P2(f2(f1(x101),f2(f1(a3),f1(f1(a3)))))),
% 0.14/0.53 inference(scs_inference,[],[6,7,8])).
% 0.14/0.53 cnf(11,plain,
% 0.14/0.53 (P2(f2(f1(x111),f2(x112,x111)))),
% 0.14/0.53 inference(scs_inference,[],[1,7])).
% 0.14/0.53 cnf(12,plain,
% 0.14/0.53 (~P2(f1(f1(a3)))),
% 0.14/0.53 inference(scs_inference,[],[6,1,7,8])).
% 0.14/0.53 cnf(17,plain,
% 0.14/0.53 (P2(f2(f1(f2(x171,x171)),x171))),
% 0.14/0.53 inference(scs_inference,[],[2,7])).
% 0.14/0.53 cnf(23,plain,
% 0.14/0.53 (P2(f2(x231,f2(f1(f2(x232,x232)),x232)))),
% 0.14/0.53 inference(scs_inference,[],[11,12,17,7,8])).
% 0.14/0.53 cnf(30,plain,
% 0.14/0.53 (~P2(f2(f1(f1(a3)),f1(a3)))),
% 0.14/0.53 inference(scs_inference,[],[3,12,7,8,10])).
% 0.14/0.53 cnf(37,plain,
% 0.14/0.53 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 0.14/0.53 inference(scs_inference,[],[4,7])).
% 0.14/0.53 cnf(53,plain,
% 0.14/0.53 (P2(f2(x531,f2(f1(x532),x532)))),
% 0.14/0.53 inference(scs_inference,[],[11,37,8])).
% 0.14/0.53 cnf(56,plain,
% 0.14/0.53 ($false),
% 0.14/0.53 inference(scs_inference,[],[23,53,30,8]),
% 0.14/0.53 ['proof']).
% 0.14/0.53 % SZS output end Proof
% 0.14/0.53 % Total time :0.010000s
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