TSTP Solution File: LCL294-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL294-3 : 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 : n015.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 06:48:50 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL294-3 : 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 19:16:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % File :CSE---1.6
% 0.21/0.64 % Problem :theBenchmark
% 0.21/0.64 % Transform :cnf
% 0.21/0.64 % Format :tptp:raw
% 0.21/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.64
% 0.21/0.64 % Result :Theorem 0.010000s
% 0.21/0.64 % Output :CNFRefutation 0.010000s
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 % File : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% 0.21/0.64 % Domain : Logic Calculi (Propositional)
% 0.21/0.64 % Problem : Principia Mathematica 4.6
% 0.21/0.64 % Version : [WR27] axioms.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.21/0.64 % Source : [WR27]
% 0.21/0.64 % Names : Problem 4.6 [WR27]
% 0.21/0.64
% 0.21/0.64 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.25 v5.4.0, 0.27 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.3.0
% 0.21/0.64 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 0.21/0.64 % Number of literals : 14 ( 3 equ; 4 neg)
% 0.21/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.64 % Maximal term depth : 4 ( 2 avg)
% 0.21/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.21/0.64 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.21/0.64 % Number of variables : 20 ( 1 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.64
% 0.21/0.64 % Comments :
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %----Include axioms of propositional logic
% 0.21/0.64 include('Axioms/LCL004-0.ax').
% 0.21/0.64 include('Axioms/LCL004-1.ax').
% 0.21/0.64 include('Axioms/LCL004-2.ax').
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 cnf(prove_this,negated_conjecture,
% 0.21/0.64 ~ theorem(equivalent(implies(p,q),or(not(p),q))) ).
% 0.21/0.64
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.65 %ClaNum:8(EqnAxiom:0)
% 0.21/0.65 %VarNum:28(SingletonVarNum:14)
% 0.21/0.65 %MaxLitNum:3
% 0.21/0.65 %MaxfuncDepth:6
% 0.21/0.65 %SharedTerms:10
% 0.21/0.65 %goalClause: 6
% 0.21/0.65 %singleGoalClaCount:1
% 0.21/0.65 [6]~P2(f1(f2(f1(f2(f1(f2(f1(a3),a4)),f2(f1(a3),a4))),f1(f2(f1(f2(f1(a3),a4)),f2(f1(a3),a4))))))
% 0.21/0.65 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.21/0.65 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.21/0.65 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.21/0.65 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.21/0.65 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.21/0.65 [7]~P1(x71)+P2(x71)
% 0.21/0.65 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 0.21/0.65 %EqnAxiom
% 0.21/0.65
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 cnf(10,plain,
% 0.21/0.65 (P2(f2(f1(x101),f2(x102,x101)))),
% 0.21/0.65 inference(scs_inference,[],[1,7])).
% 0.21/0.65 cnf(13,plain,
% 0.21/0.65 (P2(f2(f1(f2(x131,x131)),x131))),
% 0.21/0.65 inference(scs_inference,[],[2,7])).
% 0.21/0.65 cnf(22,plain,
% 0.21/0.65 (P2(f2(x221,f1(f2(x221,x221))))),
% 0.21/0.65 inference(scs_inference,[],[13,3,7,8])).
% 0.21/0.65 cnf(30,plain,
% 0.21/0.65 (P2(f2(f1(f2(f1(x301),x302)),f2(f1(f2(x303,x301)),f2(x303,x302))))),
% 0.21/0.65 inference(scs_inference,[],[5,7])).
% 0.21/0.65 cnf(37,plain,
% 0.21/0.65 (~P2(f2(f1(f2(f1(a3),a4)),f2(f1(a3),a4)))),
% 0.21/0.65 inference(scs_inference,[],[22,6,8])).
% 0.21/0.65 cnf(40,plain,
% 0.21/0.65 (~P2(f2(f1(f2(f1(x401),f2(x402,x401))),f2(f1(f2(f1(a3),a4)),f2(f1(a3),a4))))),
% 0.21/0.65 inference(scs_inference,[],[10,37,8])).
% 0.21/0.65 cnf(56,plain,
% 0.21/0.65 ($false),
% 0.21/0.65 inference(scs_inference,[],[30,40,13,8]),
% 0.21/0.65 ['proof']).
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------