TSTP Solution File: NUM001-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 10:20:12 EDT 2023
% Result : Unsatisfiable 0.20s 0.65s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.18/0.34 % Computer : n020.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Fri Aug 25 11:16:30 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.010000s
% 0.20/0.64 % Output :CNFRefutation 0.010000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 % File : NUM001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.65 % Domain : Number Theory
% 0.20/0.65 % Problem : (A + B) + C = A + (B + C)
% 0.20/0.65 % Version : [LS74] (equality) axioms : Especial.
% 0.20/0.65 % English :
% 0.20/0.65
% 0.20/0.65 % Refs : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th
% 0.20/0.65 % : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.20/0.65 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.20/0.65 % Source : [SPRFN]
% 0.20/0.65 % Names : Example 10a [Cha70]
% 0.20/0.65 % : ls28 [LS74]
% 0.20/0.65 % : ls28 [WM76]
% 0.20/0.65
% 0.20/0.65 % Status : Unsatisfiable
% 0.20/0.65 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.2.1, 0.22 v2.1.0, 0.00 v2.0.0
% 0.20/0.65 % Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 6 RR)
% 0.20/0.65 % Number of literals : 23 ( 0 equ; 11 neg)
% 0.20/0.65 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.65 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.20/0.65 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.20/0.65 % Number of variables : 35 ( 0 sgn)
% 0.20/0.65 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.65
% 0.20/0.65 % Comments : The axioms are OK, even though symmetry and some substitution
% 0.20/0.65 % axioms are missing.
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 %----Include additive algebra axioms
% 0.20/0.65 include('Axioms/NUM002-0.ax').
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 cnf(prove_equation,negated_conjecture,
% 0.20/0.65 ~ equalish(add(add(a,b),c),add(a,add(b,c))) ).
% 0.20/0.65
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % Proof found
% 0.20/0.65 % SZS status Theorem for theBenchmark
% 0.20/0.65 % SZS output start Proof
% 0.20/0.65 %ClaNum:13(EqnAxiom:0)
% 0.20/0.65 %VarNum:70(SingletonVarNum:35)
% 0.20/0.65 %MaxLitNum:3
% 0.20/0.65 %MaxfuncDepth:2
% 0.20/0.65 %SharedTerms:8
% 0.20/0.65 %goalClause: 8
% 0.20/0.65 %singleGoalClaCount:1
% 0.20/0.65 [8]~P1(f1(f1(a2,a4),a5),f1(a2,f1(a4,a5)))
% 0.20/0.65 [1]P1(x11,x11)
% 0.20/0.65 [2]P1(f1(x21,x22),f1(x22,x21))
% 0.20/0.65 [3]P1(x31,f3(f1(x31,x32),x32))
% 0.20/0.65 [4]P1(f3(f1(x41,x42),x42),x41)
% 0.20/0.65 [5]P1(f1(x51,f1(x52,x53)),f1(f1(x51,x52),x53))
% 0.20/0.65 [6]P1(f1(f3(x61,x62),x63),f3(f1(x61,x63),x62))
% 0.20/0.65 [7]P1(f3(f1(x71,x72),x73),f1(f3(x71,x73),x72))
% 0.20/0.65 [9]~P1(x91,x93)+P1(x91,x92)+~P1(x93,x92)
% 0.20/0.65 [10]~P1(x104,x103)+~P1(x101,f1(x102,x104))+P1(x101,f1(x102,x103))
% 0.20/0.65 [11]~P1(x114,x112)+~P1(x111,f1(x114,x113))+P1(x111,f1(x112,x113))
% 0.20/0.65 [12]~P1(x124,x123)+~P1(x121,f3(x122,x124))+P1(x121,f3(x122,x123))
% 0.20/0.65 [13]~P1(x134,x132)+~P1(x131,f3(x134,x133))+P1(x131,f3(x132,x133))
% 0.20/0.65 %EqnAxiom
% 0.20/0.65
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 cnf(14,plain,
% 0.20/0.65 (~P1(f1(a5,f1(a2,a4)),f1(a2,f1(a4,a5)))),
% 0.20/0.65 inference(scs_inference,[],[8,2,9])).
% 0.20/0.65 cnf(15,plain,
% 0.20/0.65 (P1(f1(x151,x152),f1(x152,x151))),
% 0.20/0.65 inference(rename_variables,[],[2])).
% 0.20/0.65 cnf(16,plain,
% 0.20/0.65 (P1(f3(f1(x161,x162),x163),f3(f1(x162,x161),x163))),
% 0.20/0.65 inference(scs_inference,[],[8,1,2,15,9,13])).
% 0.20/0.65 cnf(35,plain,
% 0.20/0.65 (~P1(f1(f1(a2,a4),a5),f1(f3(f1(a2,x351),x351),f1(a4,a5)))),
% 0.20/0.65 inference(scs_inference,[],[8,3,4,1,13,12,11])).
% 0.20/0.65 cnf(39,plain,
% 0.20/0.65 (P1(f1(x391,x392),f1(x392,x391))),
% 0.20/0.65 inference(rename_variables,[],[2])).
% 0.20/0.65 cnf(41,plain,
% 0.20/0.65 (~P1(f1(f1(a2,a4),a5),f1(f1(a4,a5),a2))),
% 0.20/0.65 inference(scs_inference,[],[8,3,4,1,2,39,13,12,11,10,9])).
% 0.20/0.65 cnf(48,plain,
% 0.20/0.65 (~P1(f1(a5,f1(a2,a4)),f1(f1(a4,a5),a2))),
% 0.20/0.65 inference(scs_inference,[],[2,14,4,41,11,9])).
% 0.20/0.65 cnf(55,plain,
% 0.20/0.65 (P1(f1(x551,f1(x552,x553)),f1(x553,f1(x551,x552)))),
% 0.20/0.65 inference(scs_inference,[],[2,5,9])).
% 0.20/0.65 cnf(73,plain,
% 0.20/0.65 (P1(f1(x731,f1(x732,x733)),f1(f1(x731,x732),x733))),
% 0.20/0.65 inference(rename_variables,[],[5])).
% 0.20/0.65 cnf(79,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[3,16,5,73,55,48,35,13,11,9]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------