TSTP Solution File: SYO664-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO664-1 : 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 : 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 04:08:42 EDT 2023
% Result : Unsatisfiable 0.13s 0.63s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat Aug 26 01:56:58 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.48 start to proof:theBenchmark
% 0.13/0.62 %-------------------------------------------
% 0.13/0.62 % File :CSE---1.6
% 0.13/0.62 % Problem :theBenchmark
% 0.13/0.62 % Transform :cnf
% 0.13/0.62 % Format :tptp:raw
% 0.13/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.62
% 0.13/0.62 % Result :Theorem 0.100000s
% 0.13/0.62 % Output :CNFRefutation 0.100000s
% 0.13/0.62 %-------------------------------------------
% 0.13/0.63 %------------------------------------------------------------------------------
% 0.13/0.63 % File : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.63 % Domain : Syntactic
% 0.13/0.63 % Problem : GSM_2_4_1
% 0.13/0.63 % Version : Especial.
% 0.13/0.63 % English :
% 0.13/0.63
% 0.13/0.63 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.13/0.63 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 0.13/0.63 % Source : [Cer18]
% 0.13/0.63 % Names : GSM_2_4_1 [Cer18]
% 0.13/0.63
% 0.13/0.63 % Status : Unsatisfiable
% 0.13/0.63 % Rating : 0.14 v8.1.0, 0.00 v7.3.0
% 0.13/0.63 % Syntax : Number of clauses : 10 ( 2 unt; 4 nHn; 9 RR)
% 0.13/0.63 % Number of literals : 48 ( 0 equ; 37 neg)
% 0.13/0.63 % Maximal clause size : 14 ( 4 avg)
% 0.13/0.63 % Maximal term depth : 3 ( 2 avg)
% 0.13/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.13/0.63 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 0.13/0.63 % Number of variables : 17 ( 1 sgn)
% 0.13/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.13/0.63
% 0.13/0.63 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 0.13/0.63 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 0.13/0.63 %------------------------------------------------------------------------------
% 0.13/0.63 cnf(clause_37,axiom,
% 0.13/0.63 ( ~ 'E'(s('0'),f(suc(B_45)))
% 0.13/0.63 | ~ 'E'(s('0'),f(B_45))
% 0.13/0.63 | ~ 'E'(s('0'),f(suc(B_46)))
% 0.13/0.63 | ~ 'E'(s('0'),f(suc(B_43)))
% 0.13/0.63 | ~ 'E'(s('0'),f(A_1))
% 0.13/0.63 | ~ 'E'(s('0'),f(suc(A_1)))
% 0.13/0.63 | ~ iLEQ(suc(A_1),suc(B_43))
% 0.13/0.63 | ~ 'E'(s('0'),f(B_43))
% 0.13/0.63 | ~ iLEQ(suc(B_44),suc(B_45))
% 0.13/0.63 | ~ 'E'(s('0'),f(B_46))
% 0.13/0.63 | ~ 'E'(s('0'),f(B_44))
% 0.13/0.63 | ~ iLEQ(suc(B_45),suc(B_46))
% 0.13/0.63 | ~ iLEQ(suc(B_43),suc(B_44))
% 0.13/0.63 | ~ 'E'(s('0'),f(suc(B_44))) ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_70,axiom,
% 0.13/0.63 ~ 'LE'(f(z),'0') ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_20,axiom,
% 0.13/0.63 ( ~ 'LE'(f(B_42),s(s('0')))
% 0.13/0.63 | 'E'(s('0'),f(B_42))
% 0.13/0.63 | 'LE'(f(B_42),s('0')) ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_66,axiom,
% 0.13/0.63 ( ~ 'E'('0',f(B_63))
% 0.13/0.63 | ~ 'E'('0',f(suc(B_61)))
% 0.13/0.63 | ~ 'E'('0',f(suc(A_2)))
% 0.13/0.63 | ~ iLEQ(suc(A_2),suc(B_61))
% 0.13/0.63 | ~ iLEQ(suc(B_61),suc(B_62))
% 0.13/0.63 | ~ 'E'('0',f(suc(B_63)))
% 0.13/0.63 | ~ 'E'('0',f(A_2))
% 0.13/0.63 | ~ iLEQ(suc(B_62),suc(B_63))
% 0.13/0.63 | ~ 'E'('0',f(B_64))
% 0.13/0.63 | ~ iLEQ(suc(B_63),suc(B_64))
% 0.13/0.63 | ~ 'E'('0',f(suc(B_62)))
% 0.13/0.63 | ~ 'E'('0',f(B_61))
% 0.13/0.63 | ~ 'E'('0',f(suc(B_64)))
% 0.13/0.63 | ~ 'E'('0',f(B_62)) ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_58,axiom,
% 0.13/0.63 'LE'(f(A),s(s('0'))) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_6,axiom,
% 0.13/0.63 ( ~ 'E'('0',f(A_2))
% 0.13/0.63 | ~ 'E'('0',f(suc(A_2)))
% 0.13/0.63 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_117,axiom,
% 0.13/0.63 ( ~ 'LE'(f(suc(B_60)),s('0'))
% 0.13/0.63 | 'E'('0',f(suc(B_60)))
% 0.13/0.63 | 'LE'(f(B_60),'0') ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_94,axiom,
% 0.13/0.63 ( ~ 'LE'(f(B_60),s('0'))
% 0.13/0.63 | 'E'('0',f(B_60))
% 0.13/0.63 | 'LE'(f(B_60),'0') ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_50,axiom,
% 0.13/0.63 ( ~ 'E'(s('0'),f(A_1))
% 0.13/0.63 | ~ 'E'(s('0'),f(suc(A_1)))
% 0.13/0.63 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 0.13/0.63
% 0.13/0.63 cnf(clause_83,axiom,
% 0.13/0.63 ( ~ 'LE'(f(suc(B_42)),s(s('0')))
% 0.13/0.63 | 'E'(s('0'),f(suc(B_42)))
% 0.13/0.63 | 'LE'(f(B_42),s('0')) ) ).
% 0.13/0.63
% 0.13/0.63 %------------------------------------------------------------------------------
% 0.13/0.63 %-------------------------------------------
% 0.13/0.63 % Proof found
% 0.13/0.63 % SZS status Theorem for theBenchmark
% 0.13/0.63 % SZS output start Proof
% 0.13/0.63 %ClaNum:10(EqnAxiom:0)
% 0.13/0.63 %VarNum:57(SingletonVarNum:17)
% 0.13/0.63 %MaxLitNum:14
% 0.13/0.63 %MaxfuncDepth:2
% 0.13/0.63 %SharedTerms:6
% 0.13/0.63 [2]~P1(f1(a4),a2)
% 0.13/0.63 [1]P1(f1(x11),f3(f3(a2)))
% 0.13/0.63 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 0.13/0.63 [4]P1(f1(x41),f3(a2))+P2(f3(a2),f1(x41))+~P1(f1(x41),f3(f3(a2)))
% 0.13/0.63 [5]P3(f5(x51),f5(x51))+~P2(a2,f1(x51))+~P2(a2,f1(f5(x51)))
% 0.13/0.63 [6]P1(f1(x61),a2)+~P1(f1(f5(x61)),f3(a2))+P2(a2,f1(f5(x61)))
% 0.13/0.63 [7]P3(f5(x71),f5(x71))+~P2(f3(a2),f1(x71))+~P2(f3(a2),f1(f5(x71)))
% 0.13/0.63 [8]P1(f1(x81),f3(a2))+~P1(f1(f5(x81)),f3(f3(a2)))+P2(f3(a2),f1(f5(x81)))
% 0.13/0.63 [9]~P3(f5(x92),f5(x95))+~P3(f5(x93),f5(x94))+~P3(f5(x94),f5(x92))+~P3(f5(x95),f5(x91))+~P2(a2,f1(x91))+~P2(a2,f1(x92))+~P2(a2,f1(x93))+~P2(a2,f1(x94))+~P2(a2,f1(x95))+~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)))
% 0.13/0.63 [10]~P3(f5(x101),f5(x102))+~P3(f5(x103),f5(x104))+~P3(f5(x104),f5(x101))+~P3(f5(x102),f5(x105))+~P2(f3(a2),f1(x101))+~P2(f3(a2),f1(x103))+~P2(f3(a2),f1(x104))+~P2(f3(a2),f1(x105))+~P2(f3(a2),f1(x102))+~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)))
% 0.13/0.63 %EqnAxiom
% 0.13/0.63
% 0.13/0.63 %-------------------------------------------
% 0.13/0.63 cnf(11,plain,
% 0.13/0.63 (~P1(f1(a4),f3(a2))+P2(a2,f1(a4))),
% 0.13/0.63 inference(scs_inference,[],[2,3])).
% 0.13/0.63 cnf(12,plain,
% 0.13/0.63 (P2(a2,f1(a4))+P2(f3(a2),f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[1,2,3,8])).
% 0.13/0.63 cnf(13,plain,
% 0.13/0.63 (P1(f1(x131),f3(f3(a2)))),
% 0.13/0.63 inference(rename_variables,[],[1])).
% 0.13/0.63 cnf(18,plain,
% 0.13/0.63 (P3(f5(a4),f5(a4))+P2(a2,f1(a4))),
% 0.13/0.63 inference(scs_inference,[],[1,13,2,3,8,4,7])).
% 0.13/0.63 cnf(23,plain,
% 0.13/0.63 (P2(f3(a2),f1(x231))+P1(f1(x231),f3(a2))),
% 0.13/0.63 inference(scs_inference,[],[1,4])).
% 0.13/0.63 cnf(24,plain,
% 0.13/0.63 (~P3(f5(x241),f5(x241))+P1(f1(x241),f3(a2))+~P2(f3(a2),f1(f5(x241)))),
% 0.13/0.63 inference(scs_inference,[],[1,4,10])).
% 0.13/0.63 cnf(27,plain,
% 0.13/0.63 (P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[18,5])).
% 0.13/0.63 cnf(29,plain,
% 0.13/0.63 (P1(f1(x291),f3(a2))+P2(f3(a2),f1(f5(x291)))),
% 0.13/0.63 inference(scs_inference,[],[1,8])).
% 0.13/0.63 cnf(40,plain,
% 0.13/0.63 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[2,6])).
% 0.13/0.63 cnf(46,plain,
% 0.13/0.63 (~P3(f5(a4),f5(a4))+P2(a2,f1(a4))+~P2(f3(a2),f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[11,24])).
% 0.13/0.63 cnf(47,plain,
% 0.13/0.63 (P2(a2,f1(a4))+~P3(f5(a4),f5(a4))),
% 0.13/0.63 inference(scs_inference,[],[46,12])).
% 0.13/0.63 cnf(48,plain,
% 0.13/0.63 (~P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[47,9])).
% 0.13/0.63 cnf(63,plain,
% 0.13/0.63 (P1(f1(x631),f3(a2))+P3(f5(x631),f5(x631))+~P2(f3(a2),f1(f5(x631)))),
% 0.13/0.63 inference(scs_inference,[],[23,7])).
% 0.13/0.63 cnf(64,plain,
% 0.13/0.63 (P1(f1(x641),f3(a2))+~P2(f3(a2),f1(f5(x641)))),
% 0.13/0.63 inference(scs_inference,[],[63,24])).
% 0.13/0.63 cnf(65,plain,
% 0.13/0.63 (P1(f1(x651),f3(a2))),
% 0.13/0.63 inference(scs_inference,[],[64,29])).
% 0.13/0.63 cnf(66,plain,
% 0.13/0.63 (P2(a2,f1(f5(a4)))),
% 0.13/0.63 inference(scs_inference,[],[65,40])).
% 0.13/0.63 cnf(67,plain,
% 0.13/0.63 (P3(f5(a4),f5(a4))),
% 0.13/0.63 inference(scs_inference,[],[66,27])).
% 0.13/0.63 cnf(69,plain,
% 0.13/0.63 (~P3(f5(a4),f5(a4))),
% 0.13/0.63 inference(scs_inference,[],[66,48])).
% 0.13/0.63 cnf(70,plain,
% 0.13/0.63 ($false),
% 0.13/0.63 inference(scs_inference,[],[69,67]),
% 0.13/0.63 ['proof']).
% 0.13/0.63 % SZS output end Proof
% 0.13/0.63 % Total time :0.100000s
%------------------------------------------------------------------------------