TSTP Solution File: NUM025-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM025-1 : 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 : n017.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 10:20:19 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
% 0.11/0.12 % Problem : NUM025-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 08:50:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 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 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : NUM025-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.19/0.61 % Domain : Number Theory
% 0.19/0.61 % Problem : If a<b then not b<a
% 0.19/0.61 % Version : [LS74] axioms : Incomplete > Reduced > Incomplete.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.19/0.61 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.19/0.61 % Source : [SPRFN]
% 0.19/0.61 % Names : ls76t1 [LS74]
% 0.19/0.61 % : ls76t1 [WM76]
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % 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
% 0.19/0.61 % Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 11 RR)
% 0.19/0.61 % Number of literals : 25 ( 0 equ; 11 neg)
% 0.19/0.61 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.61 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.19/0.61 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.19/0.61 % Number of variables : 26 ( 3 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 % Bugfixes : v4.0.0 - Bugfix in NUM001-0.ax
% 0.19/0.61 %--------------------------------------------------------------------------
% 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 %--------------------------------------------------------------------------
% 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(zero_is_the_first_number,axiom,
% 0.19/0.61 ~ equalish(successor(A),n0) ).
% 0.19/0.61
% 0.19/0.61 cnf(no_number_less_than_itself,axiom,
% 0.19/0.61 ~ less(A,A) ).
% 0.19/0.61
% 0.19/0.61 cnf(a_less_than_b,hypothesis,
% 0.19/0.61 less(a,b) ).
% 0.19/0.61
% 0.19/0.61 cnf(prove_b_not_less_than_a,negated_conjecture,
% 0.19/0.61 less(b,a) ).
% 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:16(EqnAxiom:0)
% 0.19/0.61 %VarNum:52(SingletonVarNum:26)
% 0.19/0.61 %MaxLitNum:3
% 0.19/0.61 %MaxfuncDepth:3
% 0.19/0.61 %SharedTerms:5
% 0.19/0.61 %goalClause: 2
% 0.19/0.61 %singleGoalClaCount:1
% 0.19/0.61 [1]P1(a1,a2)
% 0.19/0.61 [2]P1(a2,a1)
% 0.19/0.61 [3]P2(x31,x31)
% 0.19/0.61 [8]~P1(x81,x81)
% 0.19/0.61 [4]P2(f5(x41,a4),a4)
% 0.19/0.61 [5]P2(f3(x51,a4),x51)
% 0.19/0.61 [9]~P2(f6(x91),a4)
% 0.19/0.61 [6]P2(f3(x61,f6(x62)),f6(f3(x61,x62)))
% 0.19/0.61 [7]P2(f5(x71,f6(x72)),f3(f5(x71,x72),x71))
% 0.19/0.61 [10]~P2(x102,x101)+P2(x101,x102)
% 0.19/0.61 [11]~P2(x111,x112)+P2(f6(x111),f6(x112))
% 0.19/0.61 [12]P2(x121,x122)+~P2(f6(x121),f6(x122))
% 0.19/0.61 [16]~P1(x162,x161)+P2(f3(f6(f7(x161,x162)),x162),x161)
% 0.19/0.61 [15]P1(x151,x152)+~P2(f3(f6(x153),x151),x152)
% 0.19/0.61 [13]~P2(x131,x133)+P2(x131,x132)+~P2(x133,x132)
% 0.19/0.61 [14]~P1(x143,x142)+P1(x141,x142)+~P1(x141,x143)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 cnf(17,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[2,8,1,14]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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