%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SYO664-1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 : Mon Jun 24 20:27:42 EDT 2024
% Result : Unsatisfiable 58.57s 58.77s
% Output : CNFRefutation 58.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO664-1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Jun 23 07:09:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.47/0.58 start to proof:theBenchmark
% 58.51/58.75 %-------------------------------------------
% 58.51/58.75 % File :CSE---1.7
% 58.51/58.75 % Problem :theBenchmark
% 58.51/58.75 % Transform :cnf
% 58.51/58.75 % Format :tptp:raw
% 58.51/58.75 % Command :java -jar mcs_scs.jar %d %s
% 58.51/58.75
% 58.51/58.75 % Result :Theorem 58.000000s
% 58.51/58.75 % Output :CNFRefutation 58.000000s
% 58.51/58.75 %-------------------------------------------
% 58.57/58.76 %------------------------------------------------------------------------------
% 58.57/58.76 % File : SYO664-1 : TPTP v8.2.0. Released v7.3.0.
% 58.57/58.76 % Domain : Syntactic
% 58.57/58.76 % Problem : GSM_2_4_1
% 58.57/58.76 % Version : Especial.
% 58.57/58.76 % English :
% 58.57/58.76
% 58.57/58.76 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 58.57/58.76 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 58.57/58.76 % Source : [Cer18]
% 58.57/58.76 % Names : GSM_2_4_1 [Cer18]
% 58.57/58.76
% 58.57/58.76 % Status : Unsatisfiable
% 58.57/58.76 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.3.0
% 58.57/58.76 % Syntax : Number of clauses : 10 ( 2 unt; 4 nHn; 9 RR)
% 58.57/58.76 % Number of literals : 48 ( 0 equ; 37 neg)
% 58.57/58.76 % Maximal clause size : 14 ( 4 avg)
% 58.57/58.76 % Maximal term depth : 3 ( 2 avg)
% 58.57/58.76 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 58.57/58.76 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 58.57/58.76 % Number of variables : 17 ( 1 sgn)
% 58.57/58.76 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.57/58.76
% 58.57/58.76 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 58.57/58.76 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 58.57/58.76 %------------------------------------------------------------------------------
% 58.57/58.76 cnf(clause_37,axiom,
% 58.57/58.76 ( ~ 'E'(s('0'),f(suc(B_45)))
% 58.57/58.76 | ~ 'E'(s('0'),f(B_45))
% 58.57/58.76 | ~ 'E'(s('0'),f(suc(B_46)))
% 58.57/58.76 | ~ 'E'(s('0'),f(suc(B_43)))
% 58.57/58.76 | ~ 'E'(s('0'),f(A_1))
% 58.57/58.76 | ~ 'E'(s('0'),f(suc(A_1)))
% 58.57/58.76 | ~ iLEQ(suc(A_1),suc(B_43))
% 58.57/58.76 | ~ 'E'(s('0'),f(B_43))
% 58.57/58.76 | ~ iLEQ(suc(B_44),suc(B_45))
% 58.57/58.76 | ~ 'E'(s('0'),f(B_46))
% 58.57/58.76 | ~ 'E'(s('0'),f(B_44))
% 58.57/58.76 | ~ iLEQ(suc(B_45),suc(B_46))
% 58.57/58.76 | ~ iLEQ(suc(B_43),suc(B_44))
% 58.57/58.76 | ~ 'E'(s('0'),f(suc(B_44))) ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_70,axiom,
% 58.57/58.76 ~ 'LE'(f(z),'0') ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_20,axiom,
% 58.57/58.76 ( ~ 'LE'(f(B_42),s(s('0')))
% 58.57/58.76 | 'E'(s('0'),f(B_42))
% 58.57/58.76 | 'LE'(f(B_42),s('0')) ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_66,axiom,
% 58.57/58.76 ( ~ 'E'('0',f(B_63))
% 58.57/58.76 | ~ 'E'('0',f(suc(B_61)))
% 58.57/58.76 | ~ 'E'('0',f(suc(A_2)))
% 58.57/58.76 | ~ iLEQ(suc(A_2),suc(B_61))
% 58.57/58.76 | ~ iLEQ(suc(B_61),suc(B_62))
% 58.57/58.76 | ~ 'E'('0',f(suc(B_63)))
% 58.57/58.76 | ~ 'E'('0',f(A_2))
% 58.57/58.76 | ~ iLEQ(suc(B_62),suc(B_63))
% 58.57/58.76 | ~ 'E'('0',f(B_64))
% 58.57/58.76 | ~ iLEQ(suc(B_63),suc(B_64))
% 58.57/58.76 | ~ 'E'('0',f(suc(B_62)))
% 58.57/58.76 | ~ 'E'('0',f(B_61))
% 58.57/58.76 | ~ 'E'('0',f(suc(B_64)))
% 58.57/58.76 | ~ 'E'('0',f(B_62)) ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_58,axiom,
% 58.57/58.76 'LE'(f(A),s(s('0'))) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_6,axiom,
% 58.57/58.76 ( ~ 'E'('0',f(A_2))
% 58.57/58.76 | ~ 'E'('0',f(suc(A_2)))
% 58.57/58.76 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_117,axiom,
% 58.57/58.76 ( ~ 'LE'(f(suc(B_60)),s('0'))
% 58.57/58.76 | 'E'('0',f(suc(B_60)))
% 58.57/58.76 | 'LE'(f(B_60),'0') ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_94,axiom,
% 58.57/58.76 ( ~ 'LE'(f(B_60),s('0'))
% 58.57/58.76 | 'E'('0',f(B_60))
% 58.57/58.76 | 'LE'(f(B_60),'0') ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_50,axiom,
% 58.57/58.76 ( ~ 'E'(s('0'),f(A_1))
% 58.57/58.76 | ~ 'E'(s('0'),f(suc(A_1)))
% 58.57/58.76 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 58.57/58.76
% 58.57/58.76 cnf(clause_83,axiom,
% 58.57/58.76 ( ~ 'LE'(f(suc(B_42)),s(s('0')))
% 58.57/58.76 | 'E'(s('0'),f(suc(B_42)))
% 58.57/58.76 | 'LE'(f(B_42),s('0')) ) ).
% 58.57/58.76
% 58.57/58.76 %------------------------------------------------------------------------------
% 58.57/58.77 %-------------------------------------------
% 58.57/58.77 % Proof found
% 58.57/58.77 % SZS status Theorem for theBenchmark
% 58.57/58.77 % SZS output start Proof
% 58.57/58.77 %ClaNum:10(EqnAxiom:0)
% 58.57/58.77 %VarNum:57(SingletonVarNum:17)
% 58.57/58.77 %MaxLitNum:14
% 58.57/58.77 %MaxfuncDepth:2
% 58.57/58.77 %SharedTerms:6
% 58.57/58.77 [2]~P1(f1(a4),a2)
% 58.57/58.77 [1]P1(f1(x11),f3(f3(a2)))
% 58.57/58.77 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 58.57/58.77 [4]P1(f1(x41),f3(a2))+P2(f3(a2),f1(x41))+~P1(f1(x41),f3(f3(a2)))
% 58.57/58.77 [5]P3(f5(x51),f5(x51))+~P2(a2,f1(x51))+~P2(a2,f1(f5(x51)))
% 58.57/58.77 [6]P1(f1(x61),a2)+~P1(f1(f5(x61)),f3(a2))+P2(a2,f1(f5(x61)))
% 58.57/58.77 [7]P3(f5(x71),f5(x71))+~P2(f3(a2),f1(x71))+~P2(f3(a2),f1(f5(x71)))
% 58.57/58.77 [8]P1(f1(x81),f3(a2))+~P1(f1(f5(x81)),f3(f3(a2)))+P2(f3(a2),f1(f5(x81)))
% 58.57/58.77 [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)))
% 58.57/58.77 [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)))
% 58.57/58.77 %EqnAxiom
% 58.57/58.77
% 58.57/58.77 %-------------------------------------------
% 58.65/58.82 cnf(11,plain,
% 58.65/58.82 (P1(f1(x111),f3(a2))+P2(f3(a2),f1(x111))),
% 58.65/58.82 inference(scs_inference,[],[1,4])).
% 58.65/58.82 cnf(14,plain,
% 58.65/58.82 (P2(f3(a2),f1(a4))+P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[2,11,3])).
% 58.65/58.82 cnf(16,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(a4)))+P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[2,6,11])).
% 58.65/58.82 cnf(17,plain,
% 58.65/58.82 (~P3(f5(a4),f5(a4))+P2(a2,f1(f5(a4)))+~P2(f3(a2),f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[16,10])).
% 58.65/58.82 cnf(19,plain,
% 58.65/58.82 (P2(a2,f1(f5(a4)))+~P2(f3(a2),f1(a4))+~P2(f3(a2),f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[17,7])).
% 58.65/58.82 cnf(22,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[19,11])).
% 58.65/58.82 cnf(23,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[2,22,6])).
% 58.65/58.82 cnf(24,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+~P3(f5(a4),f5(a4))+~P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[23,9])).
% 58.65/58.82 cnf(28,plain,
% 58.65/58.82 (P2(a2,f1(a4))+P2(f3(a2),f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[1,2,8,3])).
% 58.65/58.82 cnf(29,plain,
% 58.65/58.82 (P2(a2,f1(a4))+~P3(f5(a4),f5(a4))+~P2(f3(a2),f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[28,10])).
% 58.65/58.82 cnf(30,plain,
% 58.65/58.82 (P2(a2,f1(a4))+~P2(f3(a2),f1(a4))+~P2(f3(a2),f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[29,7])).
% 58.65/58.82 cnf(36,plain,
% 58.65/58.82 (~P3(f5(a4),f5(a4))+P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[14,29])).
% 58.65/58.82 cnf(38,plain,
% 58.65/58.82 (~P2(f3(a2),f1(f5(a4)))+P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[14,30])).
% 58.65/58.82 cnf(39,plain,
% 58.65/58.82 (P2(a2,f1(a4))+P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[38,11])).
% 58.65/58.82 cnf(40,plain,
% 58.65/58.82 (~P3(f5(a4),f5(a4))+~P2(f3(a2),f1(a4))+P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[39,24])).
% 58.65/58.82 cnf(41,plain,
% 58.65/58.82 (P1(f1(f5(a4)),f3(a2))+~P2(f3(a2),f1(a4))+~P2(f3(a2),f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[40,7])).
% 58.65/58.82 cnf(42,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[41,11])).
% 58.65/58.82 cnf(43,plain,
% 58.65/58.82 (P1(f1(f5(a4)),f3(a2))+P1(f1(a4),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[42,11])).
% 58.65/58.82 cnf(44,plain,
% 58.65/58.82 (P1(f1(a4),f3(a2))+P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[2,43,6])).
% 58.65/58.82 cnf(45,plain,
% 58.65/58.82 (P1(f1(a4),f3(a2))+~P3(f5(a4),f5(a4))+~P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[44,9])).
% 58.65/58.82 cnf(47,plain,
% 58.65/58.82 (~P3(f5(a4),f5(a4))+~P2(f3(a2),f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[36,24])).
% 58.65/58.82 cnf(48,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+~P2(a2,f1(a4))+~P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[47,5])).
% 58.65/58.82 cnf(53,plain,
% 58.65/58.82 (~P3(f5(a4),f5(a4))+P1(f1(a4),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[36,45])).
% 58.65/58.82 cnf(54,plain,
% 58.65/58.82 (P1(f1(a4),f3(a2))+~P2(a2,f1(a4))+~P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[53,5])).
% 58.65/58.82 cnf(55,plain,
% 58.65/58.82 (~P2(a2,f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))+P1(f1(a4),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[54,28])).
% 58.65/58.82 cnf(56,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(a4)))+P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[2,55,6])).
% 58.65/58.82 cnf(57,plain,
% 58.65/58.82 (P2(a2,f1(a4))+P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[56,38])).
% 58.65/58.82 cnf(58,plain,
% 58.65/58.82 (~P2(a2,f1(f5(a4)))+P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[57,54])).
% 58.65/58.82 cnf(59,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[58,23])).
% 58.65/58.82 cnf(60,plain,
% 58.65/58.82 (P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[59,11])).
% 58.65/58.82 cnf(61,plain,
% 58.65/58.82 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[2,60,3])).
% 58.65/58.82 cnf(62,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+~P2(a2,f1(f5(a4)))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[61,48])).
% 58.65/58.82 cnf(63,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[62,16])).
% 58.65/58.82 cnf(64,plain,
% 58.65/58.82 (~P1(f1(f5(a4)),f3(a2))+P3(f5(a4),f5(a4))+~P2(f3(a2),f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[63,7])).
% 58.65/58.82 cnf(65,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[64,47])).
% 58.65/58.82 cnf(66,plain,
% 58.65/58.82 (~P2(f3(a2),f1(a4))+P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[65,39])).
% 58.65/58.82 cnf(67,plain,
% 58.65/58.82 (P2(a2,f1(a4))),
% 58.65/58.82 inference(scs_inference,[],[66,14])).
% 58.65/58.82 cnf(86,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(a4)))+~P3(f5(a4),f5(a4))),
% 58.65/58.82 inference(scs_inference,[],[67,16,9])).
% 58.65/58.82 cnf(87,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(a4)))+~P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[67,86,5])).
% 58.65/58.82 cnf(88,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[87,16])).
% 58.65/58.82 cnf(59627,plain,
% 58.65/58.82 (P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[67,5])).
% 58.65/58.82 cnf(59629,plain,
% 58.65/58.82 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[2,67,5,6])).
% 58.65/58.82 cnf(59631,plain,
% 58.65/58.82 (P3(f5(a4),f5(a4))+~P1(f1(f5(a4)),f3(a2))),
% 58.65/58.82 inference(scs_inference,[],[59627,59629])).
% 58.65/58.82 cnf(59632,plain,
% 58.65/58.82 (P3(f5(f5(a4)),f5(f5(a4)))+~P2(f3(a2),f1(f5(f5(a4))))),
% 58.65/58.82 inference(scs_inference,[],[88,7])).
% 58.65/58.82 cnf(59634,plain,
% 58.65/58.82 (P1(f1(x596341),f3(a2))+P2(f3(a2),f1(f5(x596341)))),
% 58.65/58.82 inference(scs_inference,[],[1,88,7,8])).
% 58.65/58.82 cnf(59636,plain,
% 58.65/58.82 (P3(f5(a4),f5(a4))+P2(f3(a2),f1(f5(f5(a4))))),
% 58.65/58.82 inference(scs_inference,[],[59631,59634])).
% 58.65/58.82 cnf(59637,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(f5(a4))))+~P2(a2,f1(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[67,59636,9])).
% 58.65/58.82 cnf(59638,plain,
% 58.65/58.82 (~P1(f1(f5(a4)),f3(a2))+P2(f3(a2),f1(f5(f5(a4))))),
% 58.65/58.82 inference(scs_inference,[],[59637,59629])).
% 58.65/58.82 cnf(59639,plain,
% 58.65/58.82 (P2(f3(a2),f1(f5(f5(a4))))),
% 58.65/58.82 inference(scs_inference,[],[59638,59634])).
% 58.65/58.82 cnf(59640,plain,
% 58.65/58.82 (P3(f5(f5(a4)),f5(f5(a4)))),
% 58.65/58.82 inference(scs_inference,[],[59639,59632])).
% 58.65/58.82 cnf(59644,plain,
% 58.65/58.82 ($false),
% 58.65/58.82 inference(scs_inference,[],[59640,59639,88,10]),
% 58.65/58.82 ['proof']).
% 58.70/58.87 % SZS output end Proof
% 58.70/58.87 % Total time :58.000000s
%------------------------------------------------------------------------------