TSTP Solution File: NUM021-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 10:20:18 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 10:05:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.010000s
% 0.19/0.60 % Output :CNFRefutation 0.010000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 % File : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.19/0.60 % Domain : Number Theory
% 0.19/0.60 % Problem : If a <= b < c, then c cannot divide a
% 0.19/0.60 % Version : [LS74] axioms : Incomplete.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.19/0.60 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.19/0.60 % Source : [SPRFN]
% 0.19/0.60 % Names : ls65 [LS74]
% 0.19/0.60 % : ls65 [WM76]
% 0.19/0.60
% 0.19/0.60 % Status : Unsatisfiable
% 0.19/0.60 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0
% 0.19/0.60 % Syntax : Number of clauses : 19 ( 9 unt; 1 nHn; 14 RR)
% 0.19/0.60 % Number of literals : 32 ( 0 equ; 14 neg)
% 0.19/0.60 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.60 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.60 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.19/0.60 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.60 % Number of variables : 31 ( 3 sgn)
% 0.19/0.60 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.60
% 0.19/0.60 % Comments : Surplus transitivity axiom removed.
% 0.19/0.60 % : This is dumb, because there is no need for the clause
% 0.19/0.60 % prove_a_contradiction.
% 0.19/0.60 % Bugfixes : v4.0.0 - Bugfix in NUM001-0.ax
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.61 %----Include recursive function + and * axioms
% 0.19/0.61 include('Axioms/NUM001-0.ax').
% 0.19/0.61 %----Include recursive function less axioms
% 0.19/0.61 include('Axioms/NUM001-1.ax').
% 0.19/0.61 %----Include recursive function divides axioms
% 0.19/0.61 include('Axioms/NUM001-2.ax').
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 cnf(reflexivity,axiom,
% 0.19/0.61 equalish(X,X) ).
% 0.19/0.61
% 0.19/0.61 cnf(symmetry,axiom,
% 0.19/0.61 ( ~ equalish(X,Y)
% 0.19/0.61 | equalish(Y,X) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(transitivity,axiom,
% 0.19/0.61 ( ~ equalish(X,Y)
% 0.19/0.61 | ~ equalish(Y,Z)
% 0.19/0.61 | equalish(X,Z) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(b_less_than_c,hypothesis,
% 0.19/0.61 less(b,c) ).
% 0.19/0.61
% 0.19/0.61 cnf(b_greater_equal_a,hypothesis,
% 0.19/0.61 ~ less(b,a) ).
% 0.19/0.61
% 0.19/0.61 cnf(impossible_c_divides_a,negated_conjecture,
% 0.19/0.61 divides(c,a) ).
% 0.19/0.61
% 0.19/0.61 cnf(prove_a_contradiction,negated_conjecture,
% 0.19/0.61 ~ equalish(successor(A),n0) ).
% 0.19/0.61
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:19(EqnAxiom:0)
% 0.19/0.61 %VarNum:64(SingletonVarNum:31)
% 0.19/0.61 %MaxLitNum:3
% 0.19/0.61 %MaxfuncDepth:3
% 0.19/0.61 %SharedTerms:7
% 0.19/0.61 %goalClause: 2 9
% 0.19/0.61 %singleGoalClaCount:2
% 0.19/0.61 [1]P1(a1,a4)
% 0.19/0.61 [2]P2(a4,a2)
% 0.19/0.61 [8]~P1(a1,a2)
% 0.19/0.61 [3]P3(x31,x31)
% 0.19/0.61 [4]P3(f6(x41,a5),a5)
% 0.19/0.61 [5]P3(f3(x51,a5),x51)
% 0.19/0.61 [9]~P3(f7(x91),a5)
% 0.19/0.61 [6]P3(f3(x61,f7(x62)),f7(f3(x61,x62)))
% 0.19/0.61 [7]P3(f6(x71,f7(x72)),f3(f6(x71,x72),x71))
% 0.19/0.61 [10]~P3(x102,x101)+P3(x101,x102)
% 0.19/0.61 [11]~P3(x111,x112)+P2(x111,x112)
% 0.19/0.61 [12]~P1(x121,x122)+P2(x121,x122)
% 0.19/0.61 [13]~P3(x131,x132)+P3(f7(x131),f7(x132))
% 0.19/0.61 [15]P3(x151,x152)+~P3(f7(x151),f7(x152))
% 0.19/0.61 [19]~P1(x192,x191)+P3(f3(f7(f8(x191,x192)),x192),x191)
% 0.19/0.61 [18]P1(x181,x182)+~P3(f3(f7(x183),x181),x182)
% 0.19/0.61 [14]P1(x141,x142)+~P2(x141,x142)+P3(x141,x142)
% 0.19/0.61 [16]~P3(x161,x163)+P3(x161,x162)+~P3(x163,x162)
% 0.19/0.61 [17]~P1(x173,x172)+P1(x171,x172)+~P1(x171,x173)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(21,plain,
% 0.19/0.61 (P1(x211,f3(f7(x212),x211))),
% 0.19/0.61 inference(scs_inference,[],[3,9,10,18])).
% 0.19/0.61 cnf(22,plain,
% 0.19/0.61 (P3(x221,x221)),
% 0.19/0.61 inference(rename_variables,[],[3])).
% 0.19/0.61 cnf(24,plain,
% 0.19/0.61 (P1(a1,f3(f7(x241),a4))),
% 0.19/0.61 inference(scs_inference,[],[3,1,9,10,18,17])).
% 0.19/0.61 cnf(34,plain,
% 0.19/0.61 (P3(f3(f7(f8(a4,a1)),a1),a4)),
% 0.19/0.61 inference(scs_inference,[],[3,22,1,5,9,10,18,17,12,11,15,13,19])).
% 0.19/0.61 cnf(44,plain,
% 0.19/0.61 (~P3(f3(f7(x441),a1),a2)),
% 0.19/0.61 inference(scs_inference,[],[8,4,7,5,16,10,18])).
% 0.19/0.61 cnf(48,plain,
% 0.19/0.61 (P3(a4,a2)),
% 0.19/0.61 inference(scs_inference,[],[2,8,4,7,5,1,16,10,18,17,14])).
% 0.19/0.61 cnf(62,plain,
% 0.19/0.61 (~P1(f3(f7(x621),a4),a2)),
% 0.19/0.61 inference(scs_inference,[],[8,24,17])).
% 0.19/0.61 cnf(64,plain,
% 0.19/0.61 (~P3(f7(x641),f6(x642,a5))),
% 0.19/0.61 inference(scs_inference,[],[9,4,8,24,17,16])).
% 0.19/0.61 cnf(91,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[21,4,5,64,48,34,62,44,12,17,18,10,11,13,15,16]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.010000s
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