%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL177-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 11:18:44 AM UTC 2026
% Result : Unsatisfiable 38.59s 38.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL177-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 11:53:42 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.24/0.52 start to proof:theBenchmark
% 38.59/38.75 %-------------------------------------------
% 38.59/38.75 % File :CSE---1.7
% 38.59/38.75 % Problem :theBenchmark
% 38.59/38.75 % Transform :cnf
% 38.59/38.75 % Format :tptp:raw
% 38.59/38.75 % Command :java -jar mcs_scs.jar %d %s
% 38.59/38.75
% 38.59/38.75 % Result :Theorem 38.242061s
% 38.59/38.75 % Output :CNFRefutation 38.242061s
% 38.59/38.75 %-------------------------------------------
% 38.59/38.75 %--------------------------------------------------------------------------
% 38.59/38.75 % File : LCL177-1 : TPTP v9.3.1. Released v1.1.0.
% 38.59/38.75 % Domain : Logic Calculi (Propositional)
% 38.59/38.75 % Problem : Principia Mathematica 2.11
% 38.59/38.75 % Version : [WR27] axioms : Reduced & Augmented.
% 38.59/38.75 % English :
% 38.59/38.75
% 38.59/38.75 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 38.59/38.75 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 38.59/38.75 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 38.59/38.75 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 38.59/38.75 % Source : [SE94]
% 38.59/38.75 % Names : Problem 2.11 [WR27]
% 38.59/38.75
% 38.59/38.75 % Status : Unsatisfiable
% 38.59/38.75 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.0.0
% 38.59/38.75 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 38.59/38.75 % Number of literals : 14 ( 0 equ; 6 neg)
% 38.59/38.75 % Maximal clause size : 3 ( 1 avg)
% 38.59/38.75 % Maximal term depth : 5 ( 2 avg)
% 38.59/38.75 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 38.59/38.75 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 38.59/38.75 % Number of variables : 17 ( 1 sgn)
% 38.59/38.75 % SPC : CNF_UNS_RFO_NEQ_HRN
% 38.59/38.75
% 38.59/38.75 % Comments : Reduced to use only or and not, and includes a redundant rule
% 38.59/38.75 % of transitivity of implication, and a reduced rule of
% 38.59/38.75 % detachment.
% 38.59/38.76 %--------------------------------------------------------------------------
% 38.59/38.76 %----Include axioms of propositional logic
% 38.59/38.76 include('Axioms/LCL003-0.ax').
% 38.59/38.76 %--------------------------------------------------------------------------
% 38.59/38.76 cnf(prove_this,negated_conjecture,
% 38.59/38.76 ~ theorem(or(p,not(p))) ).
% 38.59/38.76
% 38.59/38.76 %--------------------------------------------------------------------------
% 38.59/38.76 %-------------------------------------------
% 38.59/38.76 % Proof found
% 38.59/38.76 % SZS status Theorem for theBenchmark
% 38.59/38.76 % SZS output start Proof
% 38.59/38.76 %ClaNum:9(EqnAxiom:0)
% 38.59/38.76 %VarNum:34(SingletonVarNum:17)
% 38.59/38.76 %MaxLitNum:3
% 38.59/38.76 %MaxfuncDepth:3
% 38.59/38.76 %SharedTerms:4
% 38.59/38.76 %goalClause: 6
% 38.59/38.76 %singleGoalClaCount:1
% 38.59/38.76 [6]~P2(f2(a3,f1(a3)))
% 38.59/38.76 [2]P1(f2(f1(f2(x21,x21)),x21))
% 38.59/38.76 [1]P1(f2(f1(x11),f2(x12,x11)))
% 38.59/38.76 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 38.59/38.76 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 38.59/38.76 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 38.59/38.76 [7]~P1(x71)+P2(x71)
% 38.59/38.76 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 38.59/38.76 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 38.59/38.76 %EqnAxiom
% 38.59/38.76
% 38.59/38.76 %-------------------------------------------
% 38.59/38.77 cnf(12,plain,
% 38.59/38.77 (~P2(f2(f1(a3),a3))),
% 38.59/38.77 inference(scs_inference,[],[6,3,7,8])).
% 38.59/38.77 cnf(32,plain,
% 38.59/38.77 (P2(f2(f1(f2(x321,x322)),f2(x321,x323)))+~P2(f2(f1(x322),x323))),
% 38.59/38.77 inference(scs_inference,[],[6,5,7,8])).
% 38.59/38.77 cnf(317,plain,
% 38.59/38.77 (P2(f2(f1(f2(x3171,x3172)),f2(x3171,f2(x3173,x3172))))),
% 38.59/38.77 inference(scs_inference,[],[1,32,7])).
% 38.59/38.77 cnf(320,plain,
% 38.59/38.77 (P2(f2(f1(x3201),f2(x3202,f2(x3203,x3201))))),
% 38.59/38.77 inference(scs_inference,[],[1,6,317,7,9])).
% 38.59/38.77 cnf(533,plain,
% 38.59/38.77 (P2(f2(f1(f2(x5331,x5331)),f2(x5332,f2(x5333,x5331))))),
% 38.59/38.77 inference(scs_inference,[],[2,6,320,7,9])).
% 38.59/38.77 cnf(5684,plain,
% 38.59/38.77 (P2(f2(x56841,f2(f1(f2(x56842,x56842)),f2(x56843,x56842))))),
% 38.59/38.77 inference(scs_inference,[],[533,6,4,7,8])).
% 38.59/38.77 cnf(5691,plain,
% 38.59/38.77 (P2(f2(f1(f2(x56911,x56911)),f2(x56912,x56911)))),
% 38.59/38.77 inference(scs_inference,[],[6,5684,2,7,8])).
% 38.59/38.77 cnf(6882,plain,
% 38.59/38.77 (~P2(f2(f1(f2(x68821,a3)),a3))),
% 38.59/38.77 inference(scs_inference,[],[6,1,12,7,9])).
% 38.59/38.77 cnf(8825,plain,
% 38.59/38.77 (P2(f2(x88251,f2(f1(f2(x88252,x88252)),x88252)))),
% 38.59/38.77 inference(scs_inference,[],[6,5691,4,7,8])).
% 38.59/38.77 cnf(9039,plain,
% 38.59/38.77 ($false),
% 38.59/38.77 inference(scs_inference,[],[6,8825,6882,2,7,8]),
% 38.59/38.77 ['proof']).
% 38.59/38.77 % SZS output end Proof
% 38.59/38.77 % Total time :38.242061s
%------------------------------------------------------------------------------