TSTP Solution File: SYO633-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 04:08:33 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 25 22:53:45 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % File :CSE---1.6
% 0.21/0.62 % Problem :theBenchmark
% 0.21/0.62 % Transform :cnf
% 0.21/0.62 % Format :tptp:raw
% 0.21/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.62
% 0.21/0.62 % Result :Theorem 0.000000s
% 0.21/0.62 % Output :CNFRefutation 0.000000s
% 0.21/0.62 %-------------------------------------------
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 % File : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.21/0.63 % Domain : Syntactic
% 0.21/0.63 % Problem : NDClauseSet5
% 0.21/0.63 % Version : Especial.
% 0.21/0.63 % English :
% 0.21/0.63
% 0.21/0.63 % Refs : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
% 0.21/0.63 % : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.21/0.63 % : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% 0.21/0.63 % Source : [Cer17]
% 0.21/0.63 % Names : NDClauseSet5 [Cer17]
% 0.21/0.63
% 0.21/0.63 % Status : Unsatisfiable
% 0.21/0.63 % Rating : 0.00 v7.1.0
% 0.21/0.63 % Syntax : Number of clauses : 13 ( 4 unt; 0 nHn; 2 RR)
% 0.21/0.63 % Number of literals : 46 ( 0 equ; 34 neg)
% 0.21/0.63 % Maximal clause size : 6 ( 3 avg)
% 0.21/0.63 % Maximal term depth : 9 ( 3 avg)
% 0.21/0.63 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.21/0.63 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.21/0.63 % Number of variables : 47 ( 42 sgn)
% 0.21/0.63 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.21/0.63
% 0.21/0.63 % Comments :
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 cnf(clause_3_01,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | 'LEQ'('AP'(s(s('0')),K),'AP'(s(s(s(s(s(s('0')))))),K)) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_0_02,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | ~ 'E'(f(A_2),s(s('0')))
% 0.21/0.63 | 'LEQ'('AP'(s('0'),K),'AP'(s(s(s(s(s(s('0')))))),K)) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_5_03,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_2),s(s('0')))
% 0.21/0.63 | ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | ~ 'E'(f(A_3),s('0'))
% 0.21/0.63 | ~ 'E'(f(A_4),'0')
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0')))))) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_6_04,axiom,
% 0.21/0.63 'E'(f(B_0),s(s(s(s('0'))))) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_8_05,axiom,
% 0.21/0.63 'E'(f(B),s(s(s(s(s('0')))))) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_11_06,axiom,
% 0.21/0.63 'LEQ'('AP'(s(s(s(s('0')))),K),B_0) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_2_07,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_2),s(s('0')))
% 0.21/0.63 | ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | ~ 'E'(f(A_3),s('0'))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),'0') ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_7_08,axiom,
% 0.21/0.63 'LEQ'('AP'(s(s(s(s(s('0'))))),K),B) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_12_09,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | ~ 'E'(f(A_2),s(s('0')))
% 0.21/0.63 | 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s('0')) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_1_10,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | 'E'(f(B_0),s(s(s('0')))) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_9_11,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | 'LEQ'('AP'(s(s(s('0'))),K),B_0) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_4_12,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s(s('0'))) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(clause_10_13,axiom,
% 0.21/0.63 ( ~ 'E'(f(A_2),s(s('0')))
% 0.21/0.63 | ~ 'E'(f(A_0),s(s(s(s('0')))))
% 0.21/0.63 | ~ 'E'(f(A_1),s(s(s('0'))))
% 0.21/0.63 | ~ 'E'(f(A_3),s('0'))
% 0.21/0.63 | ~ 'E'(f(B_0),s(s(s(s(s('0'))))))
% 0.21/0.63 | 'LEQ'('AP'('0',K),'AP'(s(s(s(s(s(s('0')))))),K)) ) ).
% 0.21/0.63
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark
% 0.21/0.63 % SZS output start Proof
% 0.21/0.63 %ClaNum:13(EqnAxiom:0)
% 0.21/0.63 %VarNum:52(SingletonVarNum:47)
% 0.21/0.63 %MaxLitNum:6
% 0.21/0.63 %MaxfuncDepth:8
% 0.21/0.63 %SharedTerms:7
% 0.21/0.63 [1]P1(f1(x11),f4(f4(f4(f4(a2)))))
% 0.21/0.63 [2]P1(f1(x21),f4(f4(f4(f4(f4(a2))))))
% 0.21/0.63 [3]P2(f3(f4(f4(f4(f4(a2)))),x31),x32)
% 0.21/0.63 [4]P2(f3(f4(f4(f4(f4(f4(a2))))),x41),x42)
% 0.21/0.63 [5]P1(f1(x51),f4(f4(f4(a2))))+~P1(f1(x52),f4(f4(f4(f4(a2)))))+~P1(f1(x51),f4(f4(f4(f4(f4(a2))))))
% 0.21/0.63 [6]P2(f3(f4(f4(f4(a2))),x61),x62)+~P1(f1(x63),f4(f4(f4(f4(a2)))))+~P1(f1(x62),f4(f4(f4(f4(f4(a2))))))
% 0.21/0.63 [8]~P1(f1(x82),f4(f4(f4(a2))))+~P1(f1(x83),f4(f4(f4(f4(a2)))))+~P1(f1(x84),f4(f4(f4(f4(f4(a2))))))+P2(f3(f4(f4(a2)),x81),f3(f4(f4(f4(f4(f4(f4(a2)))))),x81))
% 0.21/0.63 [11]~P1(f1(x112),f4(f4(f4(a2))))+~P1(f1(x113),f4(f4(f4(f4(a2)))))+~P1(f1(x114),f4(f4(f4(f4(f4(a2))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(a2)))))),x111)),f4(f4(a2)))
% 0.21/0.63 [9]~P1(f1(x92),f4(f4(a2)))+~P1(f1(x93),f4(f4(f4(a2))))+~P1(f1(x94),f4(f4(f4(f4(a2)))))+~P1(f1(x95),f4(f4(f4(f4(f4(a2))))))+P2(f3(f4(a2),x91),f3(f4(f4(f4(f4(f4(f4(a2)))))),x91))
% 0.21/0.63 [12]~P1(f1(x122),f4(f4(a2)))+~P1(f1(x123),f4(f4(f4(a2))))+~P1(f1(x124),f4(f4(f4(f4(a2)))))+~P1(f1(x125),f4(f4(f4(f4(f4(a2))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(a2)))))),x121)),f4(a2))
% 0.21/0.63 [7]~P1(f1(x72),f4(a2))+~P1(f1(x71),a2)+~P1(f1(x73),f4(f4(a2)))+~P1(f1(x74),f4(f4(f4(a2))))+~P1(f1(x75),f4(f4(f4(f4(a2)))))+~P1(f1(x76),f4(f4(f4(f4(f4(a2))))))
% 0.21/0.63 [10]~P1(f1(x102),f4(a2))+~P1(f1(x103),f4(f4(a2)))+~P1(f1(x104),f4(f4(f4(a2))))+~P1(f1(x105),f4(f4(f4(f4(a2)))))+~P1(f1(x106),f4(f4(f4(f4(f4(a2))))))+P2(f3(a2,x101),f3(f4(f4(f4(f4(f4(f4(a2)))))),x101))
% 0.21/0.63 [13]~P1(f1(x132),f4(a2))+~P1(f1(x133),f4(f4(a2)))+~P1(f1(x134),f4(f4(f4(a2))))+~P1(f1(x135),f4(f4(f4(f4(a2)))))+~P1(f1(x136),f4(f4(f4(f4(f4(a2))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(a2)))))),x131)),a2)
% 0.21/0.63 %EqnAxiom
% 0.21/0.63
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 cnf(18,plain,
% 0.21/0.63 ($false),
% 0.21/0.63 inference(scs_inference,[],[1,2,5,11,12,7,13]),
% 0.21/0.63 ['proof']).
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------