%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL234-3 : 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 : n008.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 11:18:51 AM UTC 2026
% Result : Unsatisfiable 256.81s 256.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL234-3 : 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
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 15:29:53 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.23/0.51 start to proof:theBenchmark
% 256.81/256.94 %-------------------------------------------
% 256.81/256.94 % File :CSE---1.7
% 256.81/256.94 % Problem :theBenchmark
% 256.81/256.94 % Transform :cnf
% 256.81/256.94 % Format :tptp:raw
% 256.81/256.94 % Command :java -jar mcs_scs.jar %d %s
% 256.81/256.94
% 256.81/256.94 % Result :Theorem 256.261436s
% 256.81/256.94 % Output :CNFRefutation 256.261436s
% 256.81/256.94 %-------------------------------------------
% 256.81/256.94 %--------------------------------------------------------------------------
% 256.81/256.94 % File : LCL234-3 : TPTP v9.3.1. Released v2.3.0.
% 256.81/256.94 % Domain : Logic Calculi (Propositional)
% 256.81/256.94 % Problem : Principia Mathematica 3.2
% 256.81/256.94 % Version : [WR27] axioms.
% 256.81/256.94 % English :
% 256.81/256.94
% 256.81/256.94 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 256.81/256.94 % Source : [WR27]
% 256.81/256.94 % Names : Problem 3.2 [WR27]
% 256.81/256.94
% 256.81/256.94 % Status : Unsatisfiable
% 256.81/256.94 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.08 v9.0.0, 0.25 v8.2.0, 0.17 v8.1.0, 0.11 v7.5.0, 0.20 v7.4.0, 0.33 v7.2.0, 0.38 v7.1.0, 0.43 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.44 v5.5.0, 0.50 v5.4.0, 0.47 v5.3.0, 0.33 v5.2.0, 0.50 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.44 v4.0.1, 0.33 v4.0.0, 0.50 v3.5.0, 0.17 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.14 v3.1.0, 0.33 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 256.81/256.94 % Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 3 RR)
% 256.81/256.94 % Number of literals : 13 ( 2 equ; 4 neg)
% 256.81/256.94 % Maximal clause size : 3 ( 1 avg)
% 256.81/256.94 % Maximal term depth : 4 ( 2 avg)
% 256.81/256.94 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 256.81/256.94 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 256.81/256.94 % Number of variables : 18 ( 1 sgn)
% 256.81/256.94 % SPC : CNF_UNS_RFO_SEQ_HRN
% 256.81/256.94
% 256.81/256.94 % Comments :
% 256.81/256.94 %--------------------------------------------------------------------------
% 256.81/256.94 %----Include axioms of propositional logic
% 256.81/256.94 include('Axioms/LCL004-0.ax').
% 256.81/256.94 include('Axioms/LCL004-1.ax').
% 256.81/256.94 %--------------------------------------------------------------------------
% 256.81/256.94 cnf(prove_this,negated_conjecture,
% 256.81/256.94 ~ theorem(implies(p,implies(q,and(p,q)))) ).
% 256.81/256.94
% 256.81/256.94 %--------------------------------------------------------------------------
% 256.81/256.94 %-------------------------------------------
% 256.81/256.94 % Proof found
% 256.81/256.94 % SZS status Theorem for theBenchmark
% 256.81/256.94 % SZS output start Proof
% 256.81/256.94 %ClaNum:8(EqnAxiom:0)
% 256.81/256.94 %VarNum:28(SingletonVarNum:14)
% 256.81/256.94 %MaxLitNum:3
% 256.81/256.94 %MaxfuncDepth:5
% 256.81/256.94 %SharedTerms:9
% 256.81/256.94 %goalClause: 6
% 256.81/256.94 %singleGoalClaCount:1
% 256.81/256.94 [6]~P2(f2(f1(a3),f2(f1(a4),f1(f2(f1(a3),f1(a4))))))
% 256.81/256.94 [2]P1(f2(f1(f2(x21,x21)),x21))
% 256.81/256.94 [1]P1(f2(f1(x11),f2(x12,x11)))
% 256.81/256.94 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 256.81/256.94 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 256.81/256.94 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 256.81/256.94 [7]~P1(x71)+P2(x71)
% 256.81/256.94 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 256.81/256.94 %EqnAxiom
% 256.81/256.94
% 256.81/256.94 %-------------------------------------------
% 257.11/257.29 cnf(351435,plain,
% 257.11/257.29 (P2(f2(f1(x3514351),f2(x3514352,x3514351)))),
% 257.11/257.29 inference(scs_inference,[],[1,7])).
% 257.11/257.29 cnf(351439,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3514391,x3514392)),f2(x3514392,x3514391)))),
% 257.11/257.29 inference(scs_inference,[],[3,7])).
% 257.11/257.29 cnf(351441,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3514411,x3514411)),x3514411))),
% 257.11/257.29 inference(scs_inference,[],[2,7])).
% 257.11/257.29 cnf(351443,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3514431,f2(x3514432,x3514433))),f2(x3514432,f2(x3514431,x3514433))))),
% 257.11/257.29 inference(scs_inference,[],[4,7])).
% 257.11/257.29 cnf(351445,plain,
% 257.11/257.29 (P2(f2(f1(f2(f1(x3514451),x3514452)),f2(f1(f2(x3514453,x3514451)),f2(x3514453,x3514452))))),
% 257.11/257.29 inference(scs_inference,[],[5,7])).
% 257.11/257.29 cnf(351478,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3514781,f2(f1(x3514782),x3514783))),f2(x3514781,f2(f1(f2(x3514784,x3514782)),f2(x3514784,x3514783)))))),
% 257.11/257.29 inference(scs_inference,[],[5,351445,7,8])).
% 257.11/257.29 cnf(351564,plain,
% 257.11/257.29 (P2(f2(x3515641,f2(f1(f2(x3515642,f2(f1(x3515643),x3515644))),f2(x3515642,f2(f1(f2(x3515645,x3515643)),f2(x3515645,x3515644))))))),
% 257.11/257.29 inference(scs_inference,[],[1,351478,7,8])).
% 257.11/257.29 cnf(352235,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3522351,f2(x3522352,f2(f1(x3522353),x3522354)))),f2(x3522351,f2(x3522352,f2(f1(f2(x3522355,x3522353)),f2(x3522355,x3522354))))))),
% 257.11/257.29 inference(scs_inference,[],[5,351478,7,8])).
% 257.11/257.29 cnf(353441,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3534411,f2(f1(x3534412),x3534413))),f2(x3534414,f2(x3534411,f2(f1(f2(x3534415,x3534412)),f2(x3534415,x3534413))))))),
% 257.11/257.29 inference(scs_inference,[],[4,351564,7,8])).
% 257.11/257.29 cnf(353486,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3534861,f2(x3534862,f2(f1(x3534863),x3534864)))),f2(x3534861,f2(x3534865,f2(x3534862,f2(f1(f2(x3534866,x3534863)),f2(x3534866,x3534864)))))))),
% 257.11/257.29 inference(scs_inference,[],[5,353441,7,8])).
% 257.11/257.29 cnf(354056,plain,
% 257.11/257.29 (P2(f2(x3540561,f2(f1(x3540562),x3540562)))),
% 257.11/257.29 inference(scs_inference,[],[351435,351443,6,7,8])).
% 257.11/257.29 cnf(354100,plain,
% 257.11/257.29 (P2(f2(f1(x3541001),x3541001))),
% 257.11/257.29 inference(scs_inference,[],[351435,6,354056,7,8])).
% 257.11/257.29 cnf(356688,plain,
% 257.11/257.29 (~P2(f2(f1(f2(f1(x3566881),x3566881)),f2(f1(a3),f2(f1(a4),f1(f2(f1(a3),f1(a4)))))))),
% 257.11/257.29 inference(scs_inference,[],[6,354100,7,8])).
% 257.11/257.29 cnf(359023,plain,
% 257.11/257.29 (P2(f2(f1(f2(f1(x3590231),x3590232)),f2(x3590233,f2(x3590234,f2(f1(f2(x3590235,x3590231)),f2(x3590235,x3590232))))))),
% 257.11/257.29 inference(scs_inference,[],[351435,353486,8])).
% 257.11/257.29 cnf(359050,plain,
% 257.11/257.29 (P2(f2(x3590501,f2(x3590502,f2(f1(f2(x3590503,f2(x3590504,x3590505))),f2(x3590503,f2(x3590505,x3590504))))))),
% 257.11/257.29 inference(scs_inference,[],[351439,359023,8])).
% 257.11/257.29 cnf(359054,plain,
% 257.11/257.29 (P2(f2(x3590541,f2(f1(f2(x3590542,f2(x3590543,x3590544))),f2(x3590542,f2(x3590544,x3590543)))))),
% 257.11/257.29 inference(scs_inference,[],[351439,359050,8])).
% 257.11/257.29 cnf(359058,plain,
% 257.11/257.29 (P2(f2(f2(f1(f2(x3590581,f2(x3590582,x3590583))),f2(x3590581,f2(x3590583,x3590582))),x3590584))),
% 257.11/257.29 inference(scs_inference,[],[351439,359054,8])).
% 257.11/257.29 cnf(359070,plain,
% 257.11/257.29 (P2(f2(f1(f2(f2(f1(x3590701),x3590702),x3590703)),f2(x3590703,f2(f1(f2(x3590704,x3590701)),f2(x3590704,x3590702)))))),
% 257.11/257.29 inference(scs_inference,[],[351439,352235,8])).
% 257.11/257.29 cnf(359088,plain,
% 257.11/257.29 (P2(f2(x3590881,f2(f1(f2(x3590882,f2(x3590883,f2(x3590884,x3590885)))),f2(x3590882,f2(x3590883,f2(x3590885,x3590884))))))),
% 257.11/257.29 inference(scs_inference,[],[359058,359070,8])).
% 257.11/257.29 cnf(359091,plain,
% 257.11/257.29 (P2(f2(f1(f2(x3590911,f2(x3590912,f2(x3590913,x3590914)))),f2(x3590911,f2(x3590912,f2(x3590914,x3590913)))))),
% 257.11/257.29 inference(scs_inference,[],[351441,359088,8])).
% 257.11/257.29 cnf(359184,plain,
% 257.11/257.29 ($false),
% 257.11/257.29 inference(scs_inference,[],[351443,356688,359091,8]),
% 257.11/257.29 ['proof']).
% 257.33/257.41 % SZS output end Proof
% 257.33/257.41 % Total time :256.261436s
%------------------------------------------------------------------------------