%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Mon Jun 24 12:22:55 EDT 2024
% Result : Unsatisfiable 0.59s 0.67s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 22:11:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.41/0.62 start to proof:theBenchmark
% 0.59/0.67 %-------------------------------------------
% 0.59/0.67 % File :CSE---1.7
% 0.59/0.67 % Problem :theBenchmark
% 0.59/0.67 % Transform :cnf
% 0.59/0.67 % Format :tptp:raw
% 0.59/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.67
% 0.59/0.67 % Result :Theorem 0.020000s
% 0.59/0.67 % Output :CNFRefutation 0.020000s
% 0.59/0.67 %-------------------------------------------
% 0.59/0.67 %------------------------------------------------------------------------------
% 0.59/0.67 % File : NUM001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.59/0.67 % Domain : Number Theory
% 0.59/0.67 % Problem : (A + B) + C = A + (B + C)
% 0.59/0.67 % Version : [LS74] (equality) axioms : Especial.
% 0.59/0.67 % English :
% 0.59/0.67
% 0.59/0.67 % Refs : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th
% 0.59/0.67 % : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.59/0.67 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.59/0.67 % Source : [SPRFN]
% 0.59/0.67 % Names : Example 10a [Cha70]
% 0.59/0.67 % : ls28 [LS74]
% 0.59/0.67 % : ls28 [WM76]
% 0.59/0.67
% 0.59/0.67 % Status : Unsatisfiable
% 0.59/0.67 % 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
% 0.59/0.67 % Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 6 RR)
% 0.59/0.67 % Number of literals : 23 ( 0 equ; 11 neg)
% 0.59/0.67 % Maximal clause size : 3 ( 1 avg)
% 0.59/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.59/0.67 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.59/0.67 % Number of variables : 35 ( 0 sgn)
% 0.59/0.67 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.59/0.67
% 0.59/0.67 % Comments : The axioms are OK, even though symmetry and some substitution
% 0.59/0.67 % axioms are missing.
% 0.59/0.67 %------------------------------------------------------------------------------
% 0.59/0.67 %----Include additive algebra axioms
% 0.59/0.67 include('Axioms/NUM002-0.ax').
% 0.59/0.67 %------------------------------------------------------------------------------
% 0.59/0.67 cnf(prove_equation,negated_conjecture,
% 0.59/0.67 ~ equalish(add(add(a,b),c),add(a,add(b,c))) ).
% 0.59/0.67
% 0.59/0.67 %------------------------------------------------------------------------------
% 0.59/0.67 %-------------------------------------------
% 0.59/0.67 % Proof found
% 0.59/0.67 % SZS status Theorem for theBenchmark
% 0.59/0.67 % SZS output start Proof
% 0.59/0.68 %ClaNum:13(EqnAxiom:0)
% 0.59/0.68 %VarNum:70(SingletonVarNum:35)
% 0.59/0.68 %MaxLitNum:3
% 0.59/0.68 %MaxfuncDepth:2
% 0.59/0.68 %SharedTerms:8
% 0.59/0.68 %goalClause: 8
% 0.59/0.68 %singleGoalClaCount:1
% 0.59/0.68 [8]~P1(f1(f1(a2,a4),a5),f1(a2,f1(a4,a5)))
% 0.59/0.68 [1]P1(x11,x11)
% 0.59/0.68 [2]P1(f1(x21,x22),f1(x22,x21))
% 0.59/0.68 [3]P1(x31,f3(f1(x31,x32),x32))
% 0.59/0.68 [4]P1(f3(f1(x41,x42),x42),x41)
% 0.59/0.68 [5]P1(f1(x51,f1(x52,x53)),f1(f1(x51,x52),x53))
% 0.59/0.68 [6]P1(f1(f3(x61,x62),x63),f3(f1(x61,x63),x62))
% 0.59/0.68 [7]P1(f3(f1(x71,x72),x73),f1(f3(x71,x73),x72))
% 0.59/0.68 [9]~P1(x91,x93)+P1(x91,x92)+~P1(x93,x92)
% 0.59/0.68 [10]~P1(x104,x103)+~P1(x101,f1(x102,x104))+P1(x101,f1(x102,x103))
% 0.59/0.68 [11]~P1(x114,x112)+~P1(x111,f1(x114,x113))+P1(x111,f1(x112,x113))
% 0.59/0.68 [12]~P1(x124,x123)+~P1(x121,f3(x122,x124))+P1(x121,f3(x122,x123))
% 0.59/0.68 [13]~P1(x134,x132)+~P1(x131,f3(x134,x133))+P1(x131,f3(x132,x133))
% 0.59/0.68 %EqnAxiom
% 0.59/0.68
% 0.59/0.68 %-------------------------------------------
% 0.59/0.68 cnf(15,plain,
% 0.59/0.68 (~P1(f1(f1(a2,a4),a5),f1(f1(a4,a5),a2))),
% 0.59/0.68 inference(scs_inference,[],[2,8,9])).
% 0.59/0.68 cnf(16,plain,
% 0.59/0.68 (P1(f1(x161,x162),f1(x162,x161))),
% 0.59/0.68 inference(rename_variables,[],[2])).
% 0.59/0.68 cnf(21,plain,
% 0.59/0.68 (~P1(f1(f1(a2,a4),a5),f1(f3(f1(a2,x211),x211),f1(a5,a4)))),
% 0.59/0.68 inference(scs_inference,[],[2,16,8,4,9,11,10])).
% 0.59/0.68 cnf(28,plain,
% 0.59/0.68 (~P1(f1(f1(a2,a4),a5),f1(a4,f1(a5,a2)))),
% 0.59/0.68 inference(scs_inference,[],[2,15,5,11,9])).
% 0.59/0.68 cnf(35,plain,
% 0.59/0.68 (~P1(f1(f1(a2,a4),a5),f1(f1(a5,a2),a4))),
% 0.59/0.68 inference(scs_inference,[],[2,28,9])).
% 0.59/0.68 cnf(46,plain,
% 0.59/0.68 ($false),
% 0.59/0.68 inference(scs_inference,[],[2,35,21,5,6,11,9]),
% 0.59/0.68 ['proof']).
% 0.59/0.68 % SZS output end Proof
% 0.59/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------