TSTP Solution File: SYO691-1.001 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO691-1.001 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 04:08:47 EDT 2023
% Result : Unsatisfiable 60.44s 60.91s
% Output : CNFRefutation 60.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO691-1.001 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 07:37:39 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.53 start to proof:theBenchmark
% 60.44/60.89 %-------------------------------------------
% 60.44/60.89 % File :CSE---1.6
% 60.44/60.89 % Problem :theBenchmark
% 60.44/60.89 % Transform :cnf
% 60.44/60.89 % Format :tptp:raw
% 60.44/60.89 % Command :java -jar mcs_scs.jar %d %s
% 60.44/60.89
% 60.44/60.89 % Result :Theorem 60.030000s
% 60.44/60.89 % Output :CNFRefutation 60.030000s
% 60.44/60.89 %-------------------------------------------
% 60.44/60.91 %------------------------------------------------------------------------------
% 60.44/60.91 % File : SYO691-1.001 : TPTP v8.1.2. Released v7.3.0.
% 60.44/60.91 % Domain : Syntactic
% 60.44/60.91 % Problem : Loop 1 Yes
% 60.44/60.91 % Version : Especial.
% 60.44/60.91 % English :
% 60.44/60.91
% 60.44/60.91 % Refs : [Wal17] Waldman (2017), Email to Geoff Sutcliffe
% 60.44/60.91 % Source : [TPTP]
% 60.44/60.91 % Names : loop-1-yes.tptp [Wal17]
% 60.44/60.91
% 60.44/60.91 % Status : Unsatisfiable
% 60.44/60.91 % Rating : 0.00 v7.3.0
% 60.44/60.91 % Syntax : Number of clauses : 7 ( 3 unt; 0 nHn; 3 RR)
% 60.44/60.91 % Number of literals : 12 ( 0 equ; 6 neg)
% 60.44/60.91 % Maximal clause size : 3 ( 1 avg)
% 60.44/60.91 % Maximal term depth : 6 ( 2 avg)
% 60.44/60.91 % Number of predicates : 3 ( 3 usr; 0 prp; 2-3 aty)
% 60.44/60.91 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 60.44/60.91 % Number of variables : 17 ( 0 sgn)
% 60.44/60.91 % SPC : CNF_UNS_RFO_NEQ_HRN
% 60.44/60.91
% 60.44/60.91 % Comments :
% 60.44/60.91 %------------------------------------------------------------------------------
% 60.44/60.91 cnf(rule_1,axiom,
% 60.44/60.91 top(f(f(f(Z,a),Y),f(X,a)),f(f(X,f(f(Y,a),a)),Z)) ).
% 60.44/60.91
% 60.44/60.91 cnf(prove,negated_conjecture,
% 60.44/60.91 ~ seq(succ(succ(succ(succ(succ(zero))))),X,X) ).
% 60.44/60.91
% 60.44/60.91 cnf(rewrite_top,axiom,
% 60.44/60.91 ( ~ top(X,Y)
% 60.44/60.91 | step(X,Y) ) ).
% 60.44/60.91
% 60.44/60.91 cnf(rewrite_left,axiom,
% 60.44/60.91 ( ~ step(X,Y)
% 60.44/60.91 | step(f(X,Z),f(Y,Z)) ) ).
% 60.44/60.91
% 60.44/60.91 cnf(rewrite_right,axiom,
% 60.44/60.91 ( ~ step(Y,Z)
% 60.44/60.91 | step(f(X,Y),f(X,Z)) ) ).
% 60.44/60.91
% 60.44/60.91 cnf(rewrite_sequence_zero,axiom,
% 60.44/60.91 seq(zero,X,X) ).
% 60.44/60.91
% 60.44/60.91 cnf(rewrite_sequence_succ,axiom,
% 60.44/60.91 ( ~ seq(N,X,Y)
% 60.44/60.91 | ~ step(Y,Z)
% 60.44/60.91 | seq(succ(N),X,Z) ) ).
% 60.44/60.91
% 60.44/60.91 %------------------------------------------------------------------------------
% 60.44/60.91 %-------------------------------------------
% 60.44/60.91 % Proof found
% 60.44/60.91 % SZS status Theorem for theBenchmark
% 60.44/60.91 % SZS output start Proof
% 60.44/60.92 %ClaNum:7(EqnAxiom:0)
% 60.44/60.92 %VarNum:34(SingletonVarNum:17)
% 60.44/60.92 %MaxLitNum:3
% 60.44/60.92 %MaxfuncDepth:5
% 60.44/60.92 %SharedTerms:7
% 60.44/60.92 %goalClause: 3
% 60.44/60.92 %singleGoalClaCount:1
% 60.44/60.92 [1]P1(a1,x11,x11)
% 60.44/60.92 [3]~P1(f4(f4(f4(f4(f4(a1))))),x31,x31)
% 60.44/60.93 [2]P2(f3(f3(f3(x21,a2),x22),f3(x23,a2)),f3(f3(x23,f3(f3(x22,a2),a2)),x21))
% 60.44/60.93 [4]~P2(x41,x42)+P3(x41,x42)
% 60.44/60.93 [5]~P3(x52,x53)+P3(f3(x51,x52),f3(x51,x53))
% 60.44/60.93 [6]~P3(x61,x63)+P3(f3(x61,x62),f3(x63,x62))
% 60.44/60.93 [7]~P1(x71,x72,x74)+~P3(x74,x73)+P1(f4(x71),x72,x73)
% 60.44/60.93 %EqnAxiom
% 60.44/60.93
% 60.44/60.93 %-------------------------------------------
% 60.44/60.94 cnf(8,plain,
% 60.44/60.94 (P3(f3(f3(f3(x81,a2),x82),f3(x83,a2)),f3(f3(x83,f3(f3(x82,a2),a2)),x81))),
% 60.44/60.94 inference(scs_inference,[],[2,4])).
% 60.44/60.94 cnf(10,plain,
% 60.44/60.94 (P3(f3(x101,f3(f3(f3(x102,a2),x103),f3(x104,a2))),f3(x101,f3(f3(x104,f3(f3(x103,a2),a2)),x102)))),
% 60.44/60.94 inference(scs_inference,[],[2,5,4])).
% 60.44/60.94 cnf(11,plain,
% 60.44/60.94 (P3(f3(f3(f3(f3(x111,a2),x112),f3(x113,a2)),x114),f3(f3(f3(x113,f3(f3(x112,a2),a2)),x111),x114))),
% 60.44/60.94 inference(scs_inference,[],[2,6,4])).
% 60.44/60.94 cnf(12,plain,
% 60.44/60.94 (~P1(f4(f4(f4(f4(a1)))),f3(f3(x121,f3(f3(x122,a2),a2)),x123),f3(f3(f3(x123,a2),x122),f3(x121,a2)))),
% 60.44/60.94 inference(scs_inference,[],[2,3,4,7])).
% 60.44/60.94 cnf(20,plain,
% 60.44/60.94 (P1(f4(a1),f3(x201,f3(f3(f3(x202,a2),x203),f3(x204,a2))),f3(x201,f3(f3(x204,f3(f3(x203,a2),a2)),x202)))),
% 60.44/60.94 inference(scs_inference,[],[1,8,7,5])).
% 60.44/60.94 cnf(35,plain,
% 60.44/60.94 (~P1(f4(f4(f4(a1))),f3(f3(x351,f3(f3(x352,a2),a2)),f3(x353,f3(f3(x354,a2),a2))),f3(f3(f3(f3(f3(a2,a2),x354),f3(x353,a2)),x352),f3(x351,a2)))),
% 60.44/60.94 inference(scs_inference,[],[11,12,6,7])).
% 60.44/60.94 cnf(36,plain,
% 60.44/60.94 (~P1(f4(f4(a1)),f3(f3(x361,f3(f3(x362,a2),a2)),f3(f3(x363,a2),f3(f3(x364,a2),a2))),f3(f3(f3(f3(x362,a2),x363),f3(f3(f3(a2,a2),x364),a2)),f3(x361,a2)))),
% 60.44/60.94 inference(scs_inference,[],[11,35,7])).
% 60.44/60.94 cnf(41,plain,
% 60.44/60.94 ($false),
% 60.44/60.94 inference(scs_inference,[],[20,36,10,7]),
% 60.44/60.94 ['proof']).
% 60.44/60.94 % SZS output end Proof
% 60.44/60.94 % Total time :60.030000s
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