%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL321-3 : 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 : n029.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 11:18:58 AM UTC 2026
% Result : Unsatisfiable 64.65s 64.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL321-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.36 % Computer : n029.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 22:35:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.24/0.52 start to proof:theBenchmark
% 64.65/64.85 %-------------------------------------------
% 64.65/64.85 % File :CSE---1.7
% 64.65/64.85 % Problem :theBenchmark
% 64.65/64.85 % Transform :cnf
% 64.65/64.85 % Format :tptp:raw
% 64.65/64.85 % Command :java -jar mcs_scs.jar %d %s
% 64.65/64.85
% 64.65/64.85 % Result :Theorem 64.297969s
% 64.65/64.85 % Output :CNFRefutation 64.297969s
% 64.65/64.85 %-------------------------------------------
% 64.65/64.85 %--------------------------------------------------------------------------
% 64.65/64.85 % File : LCL321-3 : TPTP v9.3.1. Released v2.3.0.
% 64.65/64.85 % Domain : Logic Calculi (Propositional)
% 64.65/64.85 % Problem : Principia Mathematica 5.12
% 64.65/64.85 % Version : [WR27] axioms.
% 64.65/64.85 % English :
% 64.65/64.85
% 64.65/64.85 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 64.65/64.85 % Source : [WR27]
% 64.65/64.85 % Names : Problem 5.12 [WR27]
% 64.65/64.85
% 64.65/64.85 % Status : Unsatisfiable
% 64.65/64.85 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.00 v6.3.0, 0.17 v6.2.0, 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 v4.1.0, 0.22 v4.0.1, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.3.0
% 64.65/64.85 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 64.65/64.85 % Number of literals : 12 ( 1 equ; 4 neg)
% 64.65/64.85 % Maximal clause size : 3 ( 1 avg)
% 64.65/64.85 % Maximal term depth : 4 ( 2 avg)
% 64.65/64.85 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 64.65/64.85 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 64.65/64.85 % Number of variables : 16 ( 1 sgn)
% 64.65/64.85 % SPC : CNF_UNS_RFO_SEQ_HRN
% 64.65/64.85
% 64.65/64.85 % Comments :
% 64.65/64.85 %--------------------------------------------------------------------------
% 64.65/64.85 %----Include axioms of propositional logic
% 64.65/64.85 include('Axioms/LCL004-0.ax').
% 64.65/64.86 %--------------------------------------------------------------------------
% 64.65/64.86 cnf(prove_this,negated_conjecture,
% 64.65/64.86 ~ theorem(or(implies(p,q),implies(p,not(q)))) ).
% 64.65/64.86
% 64.65/64.86 %--------------------------------------------------------------------------
% 64.65/64.86 %-------------------------------------------
% 64.65/64.86 % Proof found
% 64.65/64.86 % SZS status Theorem for theBenchmark
% 64.65/64.86 % SZS output start Proof
% 64.65/64.86 %ClaNum:8(EqnAxiom:0)
% 64.65/64.86 %VarNum:28(SingletonVarNum:14)
% 64.65/64.86 %MaxLitNum:3
% 64.65/64.86 %MaxfuncDepth:3
% 64.65/64.86 %SharedTerms:8
% 64.65/64.86 %goalClause: 6
% 64.65/64.86 %singleGoalClaCount:1
% 64.65/64.86 [6]~P2(f2(f2(f1(a3),a4),f2(f1(a3),f1(a4))))
% 64.65/64.86 [2]P1(f2(f1(f2(x21,x21)),x21))
% 64.65/64.86 [1]P1(f2(f1(x11),f2(x12,x11)))
% 64.65/64.86 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 64.65/64.86 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 64.65/64.86 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 64.65/64.86 [7]~P1(x71)+P2(x71)
% 64.65/64.86 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 64.65/64.86 %EqnAxiom
% 64.65/64.86
% 64.65/64.86 %-------------------------------------------
% 65.08/65.20 cnf(357109,plain,
% 65.08/65.20 (P2(f2(f1(x3571091),f2(x3571092,x3571091)))),
% 65.08/65.20 inference(scs_inference,[],[1,7])).
% 65.08/65.20 cnf(357113,plain,
% 65.08/65.20 (P2(f2(f1(f2(x3571131,x3571132)),f2(x3571132,x3571131)))),
% 65.08/65.20 inference(scs_inference,[],[3,7])).
% 65.08/65.20 cnf(357121,plain,
% 65.08/65.20 (P2(f2(f1(f2(x3571211,f2(x3571212,x3571213))),f2(x3571212,f2(x3571211,x3571213))))),
% 65.08/65.20 inference(scs_inference,[],[4,7])).
% 65.08/65.20 cnf(357123,plain,
% 65.08/65.20 (P2(f2(f1(f2(f1(x3571231),x3571232)),f2(f1(f2(x3571233,x3571231)),f2(x3571233,x3571232))))),
% 65.08/65.20 inference(scs_inference,[],[5,7])).
% 65.08/65.20 cnf(361100,plain,
% 65.08/65.20 (P2(f2(x3611001,f2(f1(f2(f1(x3611002),x3611003)),f2(f1(f2(x3611004,x3611002)),f2(x3611004,x3611003)))))),
% 65.08/65.20 inference(scs_inference,[],[357123,357109,8])).
% 65.08/65.20 cnf(361160,plain,
% 65.08/65.20 (P2(f2(f1(f2(f1(x3611601),x3611602)),f2(x3611603,f2(f1(f2(x3611604,x3611601)),f2(x3611604,x3611602)))))),
% 65.08/65.20 inference(scs_inference,[],[361100,357121,8])).
% 65.08/65.20 cnf(361168,plain,
% 65.08/65.20 (~P2(f2(f1(a3),f2(f2(f1(a3),a4),f1(a4))))),
% 65.08/65.20 inference(scs_inference,[],[357121,6,8])).
% 65.08/65.21 cnf(361171,plain,
% 65.08/65.21 (P2(f2(x3611711,f2(f1(f2(x3611712,f2(x3611713,x3611714))),f2(x3611712,f2(x3611714,x3611713)))))),
% 65.08/65.21 inference(scs_inference,[],[3,361160,7,8])).
% 65.08/65.21 cnf(361172,plain,
% 65.08/65.21 (P2(f2(f1(f2(x3611721,f2(x3611722,x3611723))),f2(x3611721,f2(x3611723,x3611722))))),
% 65.08/65.21 inference(scs_inference,[],[361171,361100,8])).
% 65.08/65.21 cnf(361178,plain,
% 65.08/65.21 (P2(f2(f1(f2(x3611781,x3611782)),f2(x3611781,x3611782)))),
% 65.08/65.21 inference(scs_inference,[],[3,361172,7,8])).
% 65.08/65.21 cnf(361179,plain,
% 65.08/65.21 (P2(f2(x3611791,f2(f1(f2(x3611791,x3611792)),x3611792)))),
% 65.08/65.21 inference(scs_inference,[],[4,361178,7,8])).
% 65.08/65.21 cnf(361186,plain,
% 65.08/65.21 (~P2(f2(f1(f2(f1(x3611861),f2(x3611862,x3611861))),f2(f1(a3),f2(f2(f1(a3),a4),f1(a4)))))),
% 65.08/65.21 inference(scs_inference,[],[357109,361168,8])).
% 65.08/65.21 cnf(361193,plain,
% 65.08/65.21 (~P2(f2(f2(f1(a3),a4),f1(a4)))),
% 65.08/65.21 inference(scs_inference,[],[361186,361179,8])).
% 65.08/65.21 cnf(361198,plain,
% 65.08/65.21 ($false),
% 65.08/65.21 inference(scs_inference,[],[357109,361193,357113,8]),
% 65.08/65.21 ['proof']).
% 65.18/65.33 % SZS output end Proof
% 65.18/65.33 % Total time :64.297969s
%------------------------------------------------------------------------------