%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM019-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 12:22:59 EDT 2024
% Result : Unsatisfiable 0.56s 0.62s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM019-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.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 : Sun Jun 23 01:30:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.52/0.58 start to proof:theBenchmark
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % File :CSE---1.7
% 0.56/0.62 % Problem :theBenchmark
% 0.56/0.62 % Transform :cnf
% 0.56/0.62 % Format :tptp:raw
% 0.56/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.62
% 0.56/0.62 % Result :Theorem 0.000000s
% 0.56/0.62 % Output :CNFRefutation 0.000000s
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 %--------------------------------------------------------------------------
% 0.56/0.62 % File : NUM019-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.56/0.62 % Domain : Number Theory
% 0.56/0.62 % Problem : Symmetry of equality can be derived
% 0.56/0.62 % Version : [LS74] axioms : Incomplete.
% 0.56/0.62 % English :
% 0.56/0.62
% 0.56/0.62 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.56/0.62 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.56/0.62 % Source : [SPRFN]
% 0.56/0.62 % Names : ls41 [LS74]
% 0.56/0.62 % : Problem 41 [LS74]
% 0.56/0.62 % : ls41 [WM76]
% 0.56/0.62
% 0.56/0.62 % Status : Unsatisfiable
% 0.56/0.62 % Rating : 0.00 v7.2.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.07 v4.1.0, 0.13 v4.0.1, 0.14 v4.0.0
% 0.56/0.62 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% 0.56/0.62 % Number of literals : 15 ( 0 equ; 6 neg)
% 0.56/0.62 % Maximal clause size : 3 ( 1 avg)
% 0.56/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.56/0.62 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.56/0.62 % Number of variables : 15 ( 2 sgn)
% 0.56/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.56/0.62
% 0.56/0.62 % Comments :
% 0.56/0.62 % Bugfixes : v4.0.0 - Bugfix in NUM001-0.ax
% 0.56/0.62 %--------------------------------------------------------------------------
% 0.56/0.62 %----Include recursive function + and * axioms
% 0.56/0.62 include('Axioms/NUM001-0.ax').
% 0.56/0.62 %--------------------------------------------------------------------------
% 0.56/0.62 cnf(reflexivity,hypothesis,
% 0.56/0.62 equalish(X,X) ).
% 0.56/0.62
% 0.56/0.62 cnf(transitivity,hypothesis,
% 0.56/0.62 ( ~ equalish(X,Y)
% 0.56/0.62 | ~ equalish(X,Z)
% 0.56/0.62 | equalish(Y,Z) ) ).
% 0.56/0.62
% 0.56/0.62 cnf(zero_is_the_first_number,hypothesis,
% 0.56/0.62 ~ equalish(successor(A),n0) ).
% 0.56/0.62
% 0.56/0.62 cnf(a_equals_aa,hypothesis,
% 0.56/0.62 equalish(a,aa) ).
% 0.56/0.62
% 0.56/0.62 cnf(prove_b_equals_a,negated_conjecture,
% 0.56/0.62 ~ equalish(aa,a) ).
% 0.56/0.62
% 0.56/0.62 %--------------------------------------------------------------------------
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % Proof found
% 0.56/0.62 % SZS status Theorem for theBenchmark
% 0.56/0.62 % SZS output start Proof
% 0.56/0.62 %ClaNum:11(EqnAxiom:0)
% 0.56/0.62 %VarNum:29(SingletonVarNum:15)
% 0.56/0.62 %MaxLitNum:3
% 0.56/0.62 %MaxfuncDepth:2
% 0.56/0.62 %SharedTerms:5
% 0.56/0.62 %goalClause: 7
% 0.56/0.62 %singleGoalClaCount:1
% 0.56/0.62 [1]P1(a1,a2)
% 0.56/0.62 [7]~P1(a2,a1)
% 0.56/0.62 [2]P1(x21,x21)
% 0.56/0.62 [3]P1(f4(x31,a3),a3)
% 0.56/0.62 [4]P1(f5(x41,a3),x41)
% 0.56/0.62 [8]~P1(f6(x81),a3)
% 0.56/0.62 [5]P1(f5(x51,f6(x52)),f6(f5(x51,x52)))
% 0.56/0.62 [6]P1(f4(x61,f6(x62)),f5(f4(x61,x62),x61))
% 0.56/0.62 [9]~P1(x91,x92)+P1(f6(x91),f6(x92))
% 0.56/0.62 [10]P1(x101,x102)+~P1(f6(x101),f6(x102))
% 0.56/0.62 [11]~P1(x113,x111)+P1(x111,x112)+~P1(x113,x112)
% 0.56/0.62 %EqnAxiom
% 0.56/0.63
% 0.56/0.63 %-------------------------------------------
% 0.56/0.63 cnf(12,plain,
% 0.56/0.63 ($false),
% 0.56/0.63 inference(scs_inference,[],[1,7,2,11]),
% 0.56/0.63 ['proof']).
% 0.56/0.63 % SZS output end Proof
% 0.56/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------