%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL175-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:18:43 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL175-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 6 00:46:42 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.26/0.51 start to proof:theBenchmark
% 0.26/0.51 %-------------------------------------------
% 0.26/0.51 % File :CSE---1.7
% 0.26/0.51 % Problem :theBenchmark
% 0.26/0.51 % Transform :cnf
% 0.26/0.51 % Format :tptp:raw
% 0.26/0.51 % Command :java -jar mcs_scs.jar %d %s
% 0.26/0.51
% 0.26/0.51 % Result :Theorem 0.003706s
% 0.26/0.51 % Output :CNFRefutation 0.003706s
% 0.26/0.51 %-------------------------------------------
% 0.26/0.51 %--------------------------------------------------------------------------
% 0.26/0.51 % File : LCL175-3 : TPTP v9.3.1. Released v2.3.0.
% 0.26/0.51 % Domain : Logic Calculi (Propositional)
% 0.26/0.51 % Problem : Principia Mathematica 2.07
% 0.26/0.51 % Version : [WR27] axioms.
% 0.26/0.51 % English :
% 0.26/0.51
% 0.26/0.51 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.26/0.51 % Source : [WR27]
% 0.26/0.51 % Names : Problem 2.07 [WR27]
% 0.26/0.51
% 0.26/0.51 % Status : Unsatisfiable
% 0.26/0.51 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.3.0
% 0.26/0.51 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 0.26/0.51 % Number of literals : 12 ( 1 equ; 4 neg)
% 0.26/0.51 % Maximal clause size : 3 ( 1 avg)
% 0.26/0.51 % Maximal term depth : 4 ( 2 avg)
% 0.26/0.51 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.26/0.51 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.26/0.51 % Number of variables : 16 ( 1 sgn)
% 0.26/0.51 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.26/0.51
% 0.26/0.51 % Comments :
% 0.26/0.51 %--------------------------------------------------------------------------
% 0.26/0.51 %----Include axioms of propositional logic
% 0.26/0.51 include('Axioms/LCL004-0.ax').
% 0.26/0.51 %--------------------------------------------------------------------------
% 0.26/0.51 cnf(prove_this,negated_conjecture,
% 0.26/0.51 ~ theorem(implies(p,or(p,p))) ).
% 0.26/0.51
% 0.26/0.51 %--------------------------------------------------------------------------
% 0.26/0.51 %-------------------------------------------
% 0.26/0.51 % Proof found
% 0.26/0.51 % SZS status Theorem for theBenchmark
% 0.26/0.51 % SZS output start Proof
% 0.26/0.51 %ClaNum:8(EqnAxiom:0)
% 0.26/0.51 %VarNum:28(SingletonVarNum:14)
% 0.26/0.51 %MaxLitNum:3
% 0.26/0.51 %MaxfuncDepth:3
% 0.26/0.51 %SharedTerms:5
% 0.26/0.51 %goalClause: 6
% 0.26/0.51 %singleGoalClaCount:1
% 0.26/0.51 [6]~P2(f2(f1(a3),f2(a3,a3)))
% 0.26/0.51 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.26/0.51 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.26/0.51 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.26/0.51 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.26/0.51 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.26/0.51 [7]~P1(x71)+P2(x71)
% 0.26/0.51 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 0.26/0.51 %EqnAxiom
% 0.26/0.52
% 0.26/0.52 %-------------------------------------------
% 0.26/0.52 cnf(9,plain,
% 0.26/0.52 ($false),
% 0.26/0.52 inference(scs_inference,[],[6,1,7]),
% 0.26/0.52 ['proof']).
% 0.26/0.52 % SZS output end Proof
% 0.26/0.52 % Total time :0.003706s
%------------------------------------------------------------------------------