TSTP Solution File: SYO666-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 04:08:42 EDT 2023
% Result : Unsatisfiable 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.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 : Sat Aug 26 07:21:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.050000s
% 0.21/0.67 % Output :CNFRefutation 0.050000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 % File : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% 0.21/0.68 % Domain : Syntactic
% 0.21/0.68 % Problem : GSM_2_5_1
% 0.21/0.68 % Version : Especial.
% 0.21/0.68 % English :
% 0.21/0.68
% 0.21/0.68 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.21/0.68 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 0.21/0.68 % Source : [Cer18]
% 0.21/0.68 % Names : GSM_2_5_1 [Cer18]
% 0.21/0.68
% 0.21/0.68 % Status : Unsatisfiable
% 0.21/0.68 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.3.0
% 0.21/0.68 % Syntax : Number of clauses : 10 ( 2 unt; 4 nHn; 9 RR)
% 0.21/0.68 % Number of literals : 54 ( 0 equ; 43 neg)
% 0.21/0.68 % Maximal clause size : 17 ( 5 avg)
% 0.21/0.68 % Maximal term depth : 3 ( 2 avg)
% 0.21/0.68 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.21/0.68 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 0.21/0.68 % Number of variables : 19 ( 1 sgn)
% 0.21/0.68 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.68
% 0.21/0.68 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 0.21/0.68 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 cnf(clause_102,axiom,
% 0.21/0.68 ( ~ iLEQ(suc(B_96),suc(B_97))
% 0.21/0.68 | ~ 'E'('0',f(suc(A_2)))
% 0.21/0.68 | ~ 'E'('0',f(suc(B_96)))
% 0.21/0.68 | ~ iLEQ(suc(B_97),suc(B_98))
% 0.21/0.68 | ~ 'E'('0',f(suc(B_97)))
% 0.21/0.68 | ~ 'E'('0',f(A_2))
% 0.21/0.68 | ~ 'E'('0',f(suc(B_94)))
% 0.21/0.68 | ~ 'E'('0',f(B_97))
% 0.21/0.68 | ~ iLEQ(suc(B_95),suc(B_96))
% 0.21/0.68 | ~ 'E'('0',f(B_96))
% 0.21/0.68 | ~ iLEQ(suc(B_94),suc(B_95))
% 0.21/0.68 | ~ 'E'('0',f(suc(B_98)))
% 0.21/0.68 | ~ 'E'('0',f(B_94))
% 0.21/0.68 | ~ iLEQ(suc(A_2),suc(B_94))
% 0.21/0.68 | ~ 'E'('0',f(suc(B_95)))
% 0.21/0.68 | ~ 'E'('0',f(B_98))
% 0.21/0.68 | ~ 'E'('0',f(B_95)) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_12,axiom,
% 0.21/0.68 ( ~ 'E'('0',f(A_2))
% 0.21/0.68 | ~ 'E'('0',f(suc(A_2)))
% 0.21/0.68 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_98,axiom,
% 0.21/0.68 ~ 'LE'(f(z),'0') ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_123,axiom,
% 0.21/0.68 ( ~ 'LE'(f(suc(B_93)),s('0'))
% 0.21/0.68 | 'E'('0',f(suc(B_93)))
% 0.21/0.68 | 'LE'(f(B_93),'0') ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_42,axiom,
% 0.21/0.68 ( ~ 'LE'(f(B_93),s('0'))
% 0.21/0.68 | 'E'('0',f(B_93))
% 0.21/0.68 | 'LE'(f(B_93),'0') ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_83,axiom,
% 0.21/0.68 'LE'(f(A),s(s('0'))) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_70,axiom,
% 0.21/0.68 ( ~ 'E'(s('0'),f(A_1))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(A_1)))
% 0.21/0.68 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_29,axiom,
% 0.21/0.68 ( ~ 'LE'(f(suc(B_68)),s(s('0')))
% 0.21/0.68 | 'E'(s('0'),f(suc(B_68)))
% 0.21/0.68 | 'LE'(f(B_68),s('0')) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_185,axiom,
% 0.21/0.68 ( ~ 'LE'(f(B_68),s(s('0')))
% 0.21/0.68 | 'E'(s('0'),f(B_68))
% 0.21/0.68 | 'LE'(f(B_68),s('0')) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(clause_179,axiom,
% 0.21/0.68 ( ~ 'E'(s('0'),f(B_69))
% 0.21/0.68 | ~ iLEQ(suc(B_71),suc(B_72))
% 0.21/0.68 | ~ 'E'(s('0'),f(A_1))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(A_1)))
% 0.21/0.68 | ~ iLEQ(suc(B_70),suc(B_71))
% 0.21/0.68 | ~ 'E'(s('0'),f(B_71))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(B_71)))
% 0.21/0.68 | ~ iLEQ(suc(B_69),suc(B_70))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(B_69)))
% 0.21/0.68 | ~ iLEQ(suc(B_72),suc(B_73))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(B_70)))
% 0.21/0.68 | ~ 'E'(s('0'),f(B_73))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(B_72)))
% 0.21/0.68 | ~ iLEQ(suc(A_1),suc(B_69))
% 0.21/0.68 | ~ 'E'(s('0'),f(B_70))
% 0.21/0.68 | ~ 'E'(s('0'),f(B_72))
% 0.21/0.68 | ~ 'E'(s('0'),f(suc(B_73))) ) ).
% 0.21/0.68
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:10(EqnAxiom:0)
% 0.21/0.68 %VarNum:65(SingletonVarNum:19)
% 0.21/0.68 %MaxLitNum:17
% 0.21/0.68 %MaxfuncDepth:2
% 0.21/0.68 %SharedTerms:6
% 0.21/0.68 [2]~P1(f1(a4),a2)
% 0.21/0.68 [1]P1(f1(x11),f3(f3(a2)))
% 0.21/0.68 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 0.21/0.68 [4]P1(f1(x41),f3(a2))+P2(f3(a2),f1(x41))+~P1(f1(x41),f3(f3(a2)))
% 0.21/0.68 [5]P3(f5(x51),f5(x51))+~P2(a2,f1(x51))+~P2(a2,f1(f5(x51)))
% 0.21/0.68 [6]P1(f1(x61),a2)+~P1(f1(f5(x61)),f3(a2))+P2(a2,f1(f5(x61)))
% 0.21/0.68 [7]P3(f5(x71),f5(x71))+~P2(f3(a2),f1(x71))+~P2(f3(a2),f1(f5(x71)))
% 0.21/0.68 [8]P1(f1(x81),f3(a2))+~P1(f1(f5(x81)),f3(f3(a2)))+P2(f3(a2),f1(f5(x81)))
% 0.21/0.68 [9]~P3(f5(x96),f5(x95))+~P3(f5(x95),f5(x93))+~P3(f5(x94),f5(x92))+~P3(f5(x92),f5(x91))+~P3(f5(x91),f5(x96))+~P2(a2,f1(x91))+~P2(a2,f1(x92))+~P2(a2,f1(x93))+~P2(a2,f1(x94))+~P2(a2,f1(x95))+~P2(a2,f1(x96))+~P2(a2,f1(f5(x91)))+~P2(a2,f1(f5(x92)))+~P2(a2,f1(f5(x93)))+~P2(a2,f1(f5(x94)))+~P2(a2,f1(f5(x95)))+~P2(a2,f1(f5(x96)))
% 0.21/0.68 [10]~P3(f5(x101),f5(x102))+~P3(f5(x103),f5(x104))+~P3(f5(x104),f5(x101))+~P3(f5(x102),f5(x105))+~P3(f5(x105),f5(x106))+~P2(f3(a2),f1(x105))+~P2(f3(a2),f1(x104))+~P2(f3(a2),f1(x102))+~P2(f3(a2),f1(x103))+~P2(f3(a2),f1(x101))+~P2(f3(a2),f1(x106))+~P2(f3(a2),f1(f5(x101)))+~P2(f3(a2),f1(f5(x102)))+~P2(f3(a2),f1(f5(x103)))+~P2(f3(a2),f1(f5(x104)))+~P2(f3(a2),f1(f5(x105)))+~P2(f3(a2),f1(f5(x106)))
% 0.21/0.68 %EqnAxiom
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 cnf(12,plain,
% 0.21/0.68 (P2(a2,f1(a4))+P2(f3(a2),f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[1,2,3,8])).
% 0.21/0.68 cnf(13,plain,
% 0.21/0.68 (P1(f1(x131),f3(f3(a2)))),
% 0.21/0.68 inference(rename_variables,[],[1])).
% 0.21/0.68 cnf(15,plain,
% 0.21/0.68 (P2(f3(a2),f1(a4))+P2(a2,f1(a4))),
% 0.21/0.68 inference(scs_inference,[],[1,13,2,3,8,4])).
% 0.21/0.68 cnf(18,plain,
% 0.21/0.68 (P3(f5(a4),f5(a4))+P2(a2,f1(a4))),
% 0.21/0.68 inference(scs_inference,[],[1,13,2,3,8,4,7])).
% 0.21/0.68 cnf(23,plain,
% 0.21/0.68 (P2(f3(a2),f1(x231))+P1(f1(x231),f3(a2))),
% 0.21/0.68 inference(scs_inference,[],[1,4])).
% 0.21/0.68 cnf(27,plain,
% 0.21/0.68 (P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[18,5])).
% 0.21/0.68 cnf(28,plain,
% 0.21/0.68 (P2(f3(a2),f1(f5(a4)))+~P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[12,9])).
% 0.21/0.68 cnf(29,plain,
% 0.21/0.68 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[2,6])).
% 0.21/0.68 cnf(30,plain,
% 0.21/0.68 (P1(f1(x301),f3(a2))+P2(f3(a2),f1(f5(x301)))),
% 0.21/0.68 inference(scs_inference,[],[2,1,6,8])).
% 0.21/0.68 cnf(34,plain,
% 0.21/0.68 (~P2(a2,f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[27,28])).
% 0.21/0.68 cnf(37,plain,
% 0.21/0.68 (~P1(f1(f5(a4)),f3(a2))+P2(f3(a2),f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[34,29])).
% 0.21/0.68 cnf(38,plain,
% 0.21/0.68 (P2(f3(a2),f1(f5(a4)))),
% 0.21/0.68 inference(scs_inference,[],[37,23])).
% 0.21/0.68 cnf(39,plain,
% 0.21/0.69 (P3(f5(a4),f5(a4))+~P2(f3(a2),f1(a4))),
% 0.21/0.69 inference(scs_inference,[],[38,7])).
% 0.21/0.69 cnf(40,plain,
% 0.21/0.69 (~P2(f3(a2),f1(a4))),
% 0.21/0.69 inference(scs_inference,[],[38,39,10])).
% 0.21/0.69 cnf(41,plain,
% 0.21/0.69 (P2(a2,f1(a4))),
% 0.21/0.69 inference(scs_inference,[],[40,15])).
% 0.21/0.69 cnf(44,plain,
% 0.21/0.69 (P3(f5(f5(a4)),f5(f5(a4)))+~P2(f3(a2),f1(f5(f5(a4))))),
% 0.21/0.69 inference(scs_inference,[],[38,40,23,7])).
% 0.21/0.69 cnf(47,plain,
% 0.21/0.69 (P3(f5(f5(a4)),f5(f5(a4)))+P1(f1(f5(a4)),f3(a2))),
% 0.21/0.69 inference(scs_inference,[],[44,30])).
% 0.21/0.69 cnf(48,plain,
% 0.21/0.69 (P1(f1(f5(a4)),f3(a2))+~P2(f3(a2),f1(f5(f5(a4))))),
% 0.21/0.69 inference(scs_inference,[],[38,47,10])).
% 0.21/0.69 cnf(49,plain,
% 0.21/0.69 (~P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 0.21/0.69 inference(scs_inference,[],[41,9])).
% 0.21/0.69 cnf(50,plain,
% 0.21/0.69 (~P1(f1(f5(a4)),f3(a2))+~P3(f5(a4),f5(a4))),
% 0.21/0.69 inference(scs_inference,[],[49,29])).
% 0.21/0.69 cnf(51,plain,
% 0.21/0.69 (~P2(f3(a2),f1(f5(f5(a4))))+~P3(f5(a4),f5(a4))),
% 0.21/0.69 inference(scs_inference,[],[50,48])).
% 0.21/0.69 cnf(52,plain,
% 0.21/0.69 (~P3(f5(a4),f5(a4))+P1(f1(f5(f5(a4))),f3(a2))),
% 0.21/0.69 inference(scs_inference,[],[51,23])).
% 0.21/0.69 cnf(53,plain,
% 0.21/0.69 (~P2(a2,f1(f5(a4)))+P1(f1(f5(f5(a4))),f3(a2))),
% 0.21/0.69 inference(scs_inference,[],[52,27])).
% 0.21/0.69 cnf(55,plain,
% 0.21/0.69 (~P2(f3(a2),f1(f5(f5(a4))))),
% 0.21/0.69 inference(scs_inference,[],[38,10,7])).
% 0.21/0.69 cnf(57,plain,
% 0.21/0.69 (~P1(f1(f5(a4)),f3(a2))+P1(f1(f5(f5(a4))),f3(a2))),
% 0.21/0.69 inference(scs_inference,[],[53,29])).
% 0.21/0.69 cnf(58,plain,
% 0.21/0.69 (P1(f1(f5(a4)),f3(a2))),
% 0.21/0.69 inference(scs_inference,[],[55,30])).
% 0.21/0.69 cnf(62,plain,
% 0.21/0.69 (P3(f5(a4),f5(a4))),
% 0.21/0.69 inference(scs_inference,[],[55,30,29,57,27])).
% 0.21/0.69 cnf(74,plain,
% 0.21/0.69 ($false),
% 0.21/0.69 inference(scs_inference,[],[58,62,50]),
% 0.21/0.69 ['proof']).
% 0.21/0.69 % SZS output end Proof
% 0.21/0.69 % Total time :0.050000s
%------------------------------------------------------------------------------