TSTP Solution File: SYN070-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 : Fri Sep 1 01:44:01 EDT 2023
% Result : Unsatisfiable 0.14s 0.54s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Sat Aug 26 17:27:29 EDT 2023
% 0.12/0.29 % CPUTime :
% 0.14/0.48 start to proof:theBenchmark
% 0.14/0.54 %-------------------------------------------
% 0.14/0.54 % File :CSE---1.6
% 0.14/0.54 % Problem :theBenchmark
% 0.14/0.54 % Transform :cnf
% 0.14/0.54 % Format :tptp:raw
% 0.14/0.54 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.54
% 0.14/0.54 % Result :Theorem 0.020000s
% 0.14/0.54 % Output :CNFRefutation 0.020000s
% 0.14/0.54 %-------------------------------------------
% 0.14/0.54 %--------------------------------------------------------------------------
% 0.14/0.54 % File : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.54 % Domain : Syntactic
% 0.14/0.54 % Problem : Pelletier Problem 46
% 0.14/0.54 % Version : Especial.
% 0.14/0.54 % English :
% 0.14/0.54
% 0.14/0.54 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal
% 0.14/0.54 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.14/0.54 % Source : [Pel86]
% 0.14/0.54 % Names : Pelletier 46 [Pel86]
% 0.14/0.54 % : p46.in [ANL]
% 0.14/0.54
% 0.14/0.54 % Status : Unsatisfiable
% 0.14/0.54 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v2.0.0
% 0.14/0.54 % Syntax : Number of clauses : 9 ( 2 unt; 4 nHn; 9 RR)
% 0.14/0.54 % Number of literals : 26 ( 0 equ; 14 neg)
% 0.14/0.54 % Maximal clause size : 5 ( 2 avg)
% 0.14/0.54 % Maximal term depth : 2 ( 1 avg)
% 0.14/0.54 % Number of predicates : 4 ( 4 usr; 0 prp; 1-2 aty)
% 0.14/0.54 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.14/0.54 % Number of variables : 9 ( 0 sgn)
% 0.14/0.54 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.14/0.54
% 0.14/0.54 % Comments :
% 0.14/0.54 %--------------------------------------------------------------------------
% 0.14/0.54 cnf(clause_1,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | big_f(f(X))
% 0.14/0.54 | big_g(X) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_2,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | big_h(f(X),X)
% 0.14/0.54 | big_g(X) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_3,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | ~ big_g(f(X))
% 0.14/0.54 | big_g(X) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_4,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | big_g(X)
% 0.14/0.54 | big_f(a) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_5,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | big_g(X)
% 0.14/0.54 | ~ big_g(a) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_6,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | big_g(X)
% 0.14/0.54 | ~ big_f(Y)
% 0.14/0.54 | big_g(Y)
% 0.14/0.54 | big_j(a,Y) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_7,axiom,
% 0.14/0.54 ( ~ big_f(X)
% 0.14/0.54 | ~ big_f(Y)
% 0.14/0.54 | ~ big_h(X,Y)
% 0.14/0.54 | ~ big_j(Y,X) ) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_8,negated_conjecture,
% 0.14/0.54 big_f(b) ).
% 0.14/0.54
% 0.14/0.54 cnf(clause_9,negated_conjecture,
% 0.14/0.54 ~ big_g(b) ).
% 0.14/0.54
% 0.14/0.54 %--------------------------------------------------------------------------
% 0.14/0.54 %-------------------------------------------
% 0.14/0.54 % Proof found
% 0.14/0.54 % SZS status Theorem for theBenchmark
% 0.14/0.54 % SZS output start Proof
% 0.14/0.55 %ClaNum:9(EqnAxiom:0)
% 0.14/0.55 %VarNum:25(SingletonVarNum:9)
% 0.14/0.55 %MaxLitNum:5
% 0.14/0.55 %MaxfuncDepth:1
% 0.14/0.55 %SharedTerms:6
% 0.14/0.55 %goalClause: 1 2
% 0.14/0.55 %singleGoalClaCount:2
% 0.14/0.55 [1]P1(a1)
% 0.14/0.55 [2]~P2(a1)
% 0.14/0.55 [3]~P1(x31)+P2(x31)+P1(a2)
% 0.14/0.55 [4]~P1(x41)+P2(x41)+~P2(a2)
% 0.14/0.55 [5]~P1(x51)+P2(x51)+P1(f3(x51))
% 0.14/0.55 [6]~P1(x61)+P2(x61)+~P2(f3(x61))
% 0.14/0.55 [7]~P1(x71)+P2(x71)+P3(f3(x71),x71)
% 0.14/0.55 [9]~P3(x92,x91)+~P4(x91,x92)+~P1(x91)+~P1(x92)
% 0.14/0.55 [8]~P1(x81)+~P1(x82)+P2(x81)+P2(x82)+P4(a2,x81)
% 0.14/0.55 %EqnAxiom
% 0.14/0.55
% 0.14/0.55 %-------------------------------------------
% 0.14/0.55 cnf(10,plain,
% 0.14/0.55 (~P2(a2)),
% 0.14/0.55 inference(scs_inference,[],[1,2,4])).
% 0.14/0.55 cnf(11,plain,
% 0.14/0.55 (P1(a2)),
% 0.14/0.55 inference(scs_inference,[],[1,2,4,3])).
% 0.14/0.55 cnf(14,plain,
% 0.14/0.55 (~P2(f3(a1))),
% 0.14/0.55 inference(scs_inference,[],[1,2,4,3,7,6])).
% 0.14/0.55 cnf(16,plain,
% 0.14/0.55 (P1(f3(a1))),
% 0.14/0.55 inference(scs_inference,[],[1,2,4,3,7,6,5])).
% 0.14/0.55 cnf(20,plain,
% 0.14/0.55 (P4(a2,a1)),
% 0.14/0.55 inference(scs_inference,[],[1,2,4,3,7,6,5,9,8])).
% 0.14/0.55 cnf(42,plain,
% 0.14/0.55 (P1(f3(a2))),
% 0.14/0.55 inference(scs_inference,[],[10,11,20,1,9,5])).
% 0.14/0.55 cnf(44,plain,
% 0.14/0.55 (P3(f3(a2),a2)),
% 0.14/0.55 inference(scs_inference,[],[10,11,20,1,9,5,7])).
% 0.14/0.55 cnf(46,plain,
% 0.14/0.55 (~P2(f3(a2))),
% 0.14/0.55 inference(scs_inference,[],[10,11,20,1,9,5,7,6])).
% 0.14/0.55 cnf(64,plain,
% 0.14/0.55 (P4(a2,f3(a2))),
% 0.14/0.55 inference(scs_inference,[],[14,42,46,16,8])).
% 0.14/0.55 cnf(68,plain,
% 0.14/0.55 ($false),
% 0.14/0.55 inference(scs_inference,[],[44,64,42,11,9]),
% 0.14/0.55 ['proof']).
% 0.14/0.55 % SZS output end Proof
% 0.14/0.55 % Total time :0.020000s
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