TSTP Solution File: LCL174-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL174-3 : 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 : n013.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 06:48:13 EDT 2023
% Result : Unsatisfiable 1.18s 1.33s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL174-3 : 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
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 06:28:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 1.18/1.32 %-------------------------------------------
% 1.18/1.32 % File :CSE---1.6
% 1.18/1.32 % Problem :theBenchmark
% 1.18/1.32 % Transform :cnf
% 1.18/1.32 % Format :tptp:raw
% 1.18/1.32 % Command :java -jar mcs_scs.jar %d %s
% 1.18/1.32
% 1.18/1.32 % Result :Theorem 0.730000s
% 1.18/1.32 % Output :CNFRefutation 0.730000s
% 1.18/1.32 %-------------------------------------------
% 1.18/1.33 %--------------------------------------------------------------------------
% 1.18/1.33 % File : LCL174-3 : TPTP v8.1.2. Released v2.3.0.
% 1.18/1.33 % Domain : Logic Calculi (Propositional)
% 1.18/1.33 % Problem : Principia Mathematica 2.06
% 1.18/1.33 % Version : [WR27] axioms.
% 1.18/1.33 % English :
% 1.18/1.33
% 1.18/1.33 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 1.18/1.33 % Source : [Wr27]
% 1.18/1.33 % Names : Problem 2.06 [WR27]
% 1.18/1.33
% 1.18/1.33 % Status : Unsatisfiable
% 1.18/1.33 % Rating : 0.00 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.44 v5.4.0, 0.47 v5.3.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v4.0.0, 0.17 v3.7.0, 0.33 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.14 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 1.18/1.33 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 1.18/1.33 % Number of literals : 12 ( 1 equ; 4 neg)
% 1.18/1.33 % Maximal clause size : 3 ( 1 avg)
% 1.18/1.33 % Maximal term depth : 4 ( 2 avg)
% 1.18/1.33 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.18/1.33 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 1.18/1.33 % Number of variables : 16 ( 1 sgn)
% 1.18/1.33 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.18/1.33
% 1.18/1.33 % Comments :
% 1.18/1.33 %--------------------------------------------------------------------------
% 1.18/1.33 %----Include axioms of propositional logic
% 1.18/1.33 include('Axioms/LCL004-0.ax').
% 1.18/1.33 %--------------------------------------------------------------------------
% 1.18/1.33 cnf(prove_this,negated_conjecture,
% 1.18/1.33 ~ theorem(implies(implies(p,q),implies(implies(q,r),implies(p,r)))) ).
% 1.18/1.33
% 1.18/1.33 %--------------------------------------------------------------------------
% 1.18/1.33 %-------------------------------------------
% 1.18/1.33 % Proof found
% 1.18/1.33 % SZS status Theorem for theBenchmark
% 1.18/1.33 % SZS output start Proof
% 1.18/1.33 %ClaNum:8(EqnAxiom:0)
% 1.18/1.33 %VarNum:28(SingletonVarNum:14)
% 1.18/1.33 %MaxLitNum:3
% 1.18/1.33 %MaxfuncDepth:4
% 1.18/1.33 %SharedTerms:13
% 1.18/1.33 %goalClause: 6
% 1.18/1.33 %singleGoalClaCount:1
% 1.18/1.33 [6]~P2(f2(f1(f2(f1(a3),a4)),f2(f1(f2(f1(a4),a5)),f2(f1(a3),a5))))
% 1.18/1.33 [2]P1(f2(f1(f2(x21,x21)),x21))
% 1.18/1.33 [1]P1(f2(f1(x11),f2(x12,x11)))
% 1.18/1.33 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 1.18/1.33 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 1.18/1.33 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 1.18/1.33 [7]~P1(x71)+P2(x71)
% 1.18/1.33 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 1.18/1.33 %EqnAxiom
% 1.18/1.33
% 1.18/1.33 %-------------------------------------------
% 1.18/1.33 cnf(10,plain,
% 1.18/1.33 (P2(f2(f1(x101),f2(x102,x101)))),
% 1.18/1.33 inference(scs_inference,[],[1,7])).
% 1.18/1.33 cnf(11,plain,
% 1.18/1.33 (~P2(f2(f1(f2(f1(a4),a5)),f2(f1(a3),a5)))),
% 1.18/1.34 inference(scs_inference,[],[10,6,8])).
% 1.18/1.34 cnf(18,plain,
% 1.18/1.34 (P2(f2(f1(f2(x181,x181)),x181))),
% 1.18/1.34 inference(scs_inference,[],[2,10,11,8,7])).
% 1.18/1.34 cnf(20,plain,
% 1.18/1.34 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 1.18/1.34 inference(scs_inference,[],[10,18,8])).
% 1.18/1.34 cnf(25,plain,
% 1.18/1.34 (~P2(f2(f1(a3),a5))),
% 1.18/1.34 inference(scs_inference,[],[11,10,8])).
% 1.18/1.34 cnf(37,plain,
% 1.18/1.34 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 1.18/1.34 inference(scs_inference,[],[4,10,20,8,7])).
% 1.18/1.34 cnf(46,plain,
% 1.18/1.34 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 1.18/1.34 inference(scs_inference,[],[5,18,25,8,7])).
% 1.18/1.34 cnf(491,plain,
% 1.18/1.34 ($false),
% 1.18/1.34 inference(scs_inference,[],[6,46,37,8]),
% 1.18/1.34 ['proof']).
% 1.18/1.34 % SZS output end Proof
% 1.18/1.34 % Total time :0.730000s
%------------------------------------------------------------------------------