TSTP Solution File: LCL190-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL190-3 : 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 : n012.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 06:48:21 EDT 2023
% Result : Unsatisfiable 0.88s 0.92s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL190-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 01:03:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.87/0.92 %-------------------------------------------
% 0.87/0.92 % File :CSE---1.6
% 0.87/0.92 % Problem :theBenchmark
% 0.87/0.92 % Transform :cnf
% 0.87/0.92 % Format :tptp:raw
% 0.87/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.87/0.92
% 0.87/0.92 % Result :Theorem 0.280000s
% 0.87/0.92 % Output :CNFRefutation 0.280000s
% 0.87/0.92 %-------------------------------------------
% 0.88/0.92 %--------------------------------------------------------------------------
% 0.88/0.92 % File : LCL190-3 : TPTP v8.1.2. Released v2.3.0.
% 0.88/0.92 % Domain : Logic Calculi (Propositional)
% 0.88/0.92 % Problem : Principia Mathematica 2.3
% 0.88/0.92 % Version : [WR27] axioms.
% 0.88/0.92 % English :
% 0.88/0.92
% 0.88/0.92 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.88/0.92 % Source : [WR27]
% 0.88/0.92 % Names : Problem 2.3 [WR27]
% 0.88/0.92
% 0.88/0.92 % Status : Unsatisfiable
% 0.88/0.92 % Rating : 0.00 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.25 v5.1.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.00 v2.3.0
% 0.88/0.92 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 0.88/0.92 % Number of literals : 12 ( 1 equ; 4 neg)
% 0.88/0.92 % Maximal clause size : 3 ( 1 avg)
% 0.88/0.92 % Maximal term depth : 4 ( 2 avg)
% 0.88/0.92 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.88/0.92 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.88/0.92 % Number of variables : 16 ( 1 sgn)
% 0.88/0.92 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.88/0.92
% 0.88/0.92 % Comments :
% 0.88/0.92 %--------------------------------------------------------------------------
% 0.88/0.92 %----Include axioms of propositional logic
% 0.88/0.92 include('Axioms/LCL004-0.ax').
% 0.88/0.92 %--------------------------------------------------------------------------
% 0.88/0.92 cnf(prove_this,negated_conjecture,
% 0.88/0.92 ~ theorem(implies(or(p,or(q,r)),or(p,or(r,q)))) ).
% 0.88/0.92
% 0.88/0.92 %--------------------------------------------------------------------------
% 0.88/0.92 %-------------------------------------------
% 0.88/0.92 % Proof found
% 0.88/0.92 % SZS status Theorem for theBenchmark
% 0.88/0.92 % SZS output start Proof
% 0.88/0.93 %ClaNum:8(EqnAxiom:0)
% 0.88/0.93 %VarNum:28(SingletonVarNum:14)
% 0.88/0.93 %MaxLitNum:3
% 0.88/0.93 %MaxfuncDepth:3
% 0.88/0.93 %SharedTerms:10
% 0.88/0.93 %goalClause: 6
% 0.88/0.93 %singleGoalClaCount:1
% 0.88/0.93 [6]~P2(f2(f1(f2(a3,f2(a4,a5))),f2(a3,f2(a5,a4))))
% 0.88/0.93 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.88/0.93 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.88/0.93 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.88/0.93 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.88/0.93 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.88/0.93 [7]~P1(x71)+P2(x71)
% 0.88/0.93 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 0.88/0.93 %EqnAxiom
% 0.88/0.93
% 0.88/0.93 %-------------------------------------------
% 0.88/0.93 cnf(10,plain,
% 0.88/0.93 (P2(f2(f1(x101),f2(x102,x101)))),
% 0.88/0.93 inference(scs_inference,[],[1,7])).
% 0.88/0.93 cnf(11,plain,
% 0.88/0.93 (~P2(f2(a3,f2(a5,a4)))),
% 0.88/0.93 inference(scs_inference,[],[10,6,8])).
% 0.88/0.93 cnf(18,plain,
% 0.88/0.93 (P2(f2(f1(f2(x181,x181)),x181))),
% 0.88/0.93 inference(scs_inference,[],[2,10,11,8,7])).
% 0.88/0.93 cnf(25,plain,
% 0.88/0.93 (~P2(f2(a5,a4))),
% 0.88/0.93 inference(scs_inference,[],[11,10,8])).
% 0.88/0.93 cnf(28,plain,
% 0.88/0.93 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 0.88/0.93 inference(scs_inference,[],[3,11,10,8,7])).
% 0.88/0.93 cnf(46,plain,
% 0.88/0.93 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 0.88/0.93 inference(scs_inference,[],[5,18,25,8,7])).
% 0.88/0.93 cnf(309,plain,
% 0.88/0.93 ($false),
% 0.88/0.93 inference(scs_inference,[],[6,46,28,8]),
% 0.88/0.93 ['proof']).
% 0.88/0.93 % SZS output end Proof
% 0.88/0.93 % Total time :0.280000s
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