%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SYO629-1 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 20:27:32 EDT 2024
% Result : Unsatisfiable 0.18s 0.59s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO629-1 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Jun 23 09:31:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.59 %-------------------------------------------
% 0.18/0.59 % File :CSE---1.7
% 0.18/0.59 % Problem :theBenchmark
% 0.18/0.59 % Transform :cnf
% 0.18/0.59 % Format :tptp:raw
% 0.18/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.59
% 0.18/0.59 % Result :Theorem 0.000000s
% 0.18/0.59 % Output :CNFRefutation 0.000000s
% 0.18/0.59 %-------------------------------------------
% 0.18/0.59 %------------------------------------------------------------------------------
% 0.18/0.59 % File : SYO629-1 : TPTP v8.2.0. Released v7.1.0.
% 0.18/0.59 % Domain : Syntactic
% 0.18/0.59 % Problem : ECSClauseSet1
% 0.18/0.59 % Version : Especial.
% 0.18/0.59 % English :
% 0.18/0.59
% 0.18/0.59 % Refs : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
% 0.18/0.59 % : [CL16] Cerna & Leitsch (2016), Schematic Cut Elimination and
% 0.18/0.59 % : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.18/0.59 % : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% 0.18/0.59 % Source : [Cer17]
% 0.18/0.59 % Names : ECSClauseSet1 [Cer17]
% 0.18/0.59
% 0.18/0.59 % Status : Unsatisfiable
% 0.18/0.59 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0
% 0.18/0.59 % Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 7 RR)
% 0.18/0.59 % Number of literals : 20 ( 0 equ; 10 neg)
% 0.18/0.59 % Maximal clause size : 4 ( 1 avg)
% 0.18/0.59 % Maximal term depth : 3 ( 2 avg)
% 0.18/0.59 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.18/0.59 % Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% 0.18/0.59 % Number of variables : 13 ( 2 sgn)
% 0.18/0.59 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.18/0.59
% 0.18/0.59 % Comments :
% 0.18/0.59 %------------------------------------------------------------------------------
% 0.18/0.59 cnf(clause_8_01,axiom,
% 0.18/0.59 ~ 'E'(f(A_3),f(g(A_3))) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_0_02,axiom,
% 0.18/0.59 iLEQ(A_3,A_3) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_11_03,axiom,
% 0.18/0.59 ( ~ 'E'('0',f(A_3))
% 0.18/0.59 | ~ 'E'('0',f(g(A_3)))
% 0.18/0.59 | 'E'(f(A_3),f(g(A_3))) ) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_6_04,axiom,
% 0.18/0.59 ( 'E'(s('0'),f(A))
% 0.18/0.59 | 'LE'(f(A),s('0')) ) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_7_05,axiom,
% 0.18/0.59 ~ 'LE'(f(A_3),'0') ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_10_06,axiom,
% 0.18/0.59 ( ~ 'LE'(f(A_1),s('0'))
% 0.18/0.59 | ~ iLEQ(A_1,B_0)
% 0.18/0.59 | 'E'('0',f(B_0))
% 0.18/0.59 | 'LE'(f(B_0),'0') ) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_1_07,axiom,
% 0.18/0.59 ( ~ 'E'(s('0'),f(A_2))
% 0.18/0.59 | ~ 'E'(s('0'),f(g(A_2)))
% 0.18/0.59 | 'E'(f(A_2),f(g(A_2))) ) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_2_08,axiom,
% 0.18/0.59 ~ 'LE'(f(g(A_3)),'0') ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_3_09,axiom,
% 0.18/0.59 iLEQ(A_3,g(A_3)) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_5_10,axiom,
% 0.18/0.59 iLEQ(A_2,g(A_2)) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_4_11,axiom,
% 0.18/0.59 ~ 'E'(f(A_2),f(g(A_2))) ).
% 0.18/0.59
% 0.18/0.59 cnf(clause_9_12,axiom,
% 0.18/0.59 iLEQ(A_2,A_2) ).
% 0.18/0.59
% 0.18/0.59 %------------------------------------------------------------------------------
% 0.18/0.59 %-------------------------------------------
% 0.18/0.59 % Proof found
% 0.18/0.59 % SZS status Theorem for theBenchmark
% 0.18/0.59 % SZS output start Proof
% 0.18/0.59 %ClaNum:12(EqnAxiom:0)
% 0.18/0.59 %VarNum:22(SingletonVarNum:9)
% 0.18/0.59 %MaxLitNum:4
% 0.18/0.59 %MaxfuncDepth:2
% 0.18/0.59 %SharedTerms:2
% 0.18/0.59 [2]P1(x21,x21)
% 0.18/0.59 [4]P1(x41,f1(x41))
% 0.18/0.59 [5]~P2(f2(x51),a3)
% 0.18/0.59 [8]~P3(f2(x81),f2(f1(x81)))
% 0.18/0.59 [9]P2(f2(x91),f4(a3))+P3(f4(a3),f2(x91))
% 0.18/0.59 [11]P3(f2(x111),f2(f1(x111)))+~P3(a3,f2(x111))+~P3(a3,f2(f1(x111)))
% 0.18/0.59 [12]~P3(f4(a3),f2(x121))+P3(f2(x121),f2(f1(x121)))+~P3(f4(a3),f2(f1(x121)))
% 0.18/0.59 [10]~P1(x102,x101)+~P2(f2(x102),f4(a3))+P3(a3,f2(x101))+P2(f2(x101),a3)
% 0.18/0.59 %EqnAxiom
% 0.18/0.59
% 0.18/0.59 %-------------------------------------------
% 0.18/0.60 cnf(13,plain,
% 0.18/0.60 (P3(f4(a3),f2(x131))+P3(a3,f2(f1(x131)))),
% 0.18/0.60 inference(scs_inference,[],[5,4,9,10])).
% 0.18/0.60 cnf(14,plain,
% 0.18/0.60 (P3(a3,f2(f1(x141)))+~P3(f4(a3),f2(f1(x141)))),
% 0.18/0.60 inference(scs_inference,[],[8,13,12])).
% 0.18/0.60 cnf(15,plain,
% 0.18/0.60 (P3(a3,f2(f1(x151)))+P2(f2(f1(x151)),f4(a3))),
% 0.18/0.60 inference(scs_inference,[],[14,9])).
% 0.18/0.60 cnf(16,plain,
% 0.18/0.60 (P3(a3,f2(f1(x161)))),
% 0.18/0.60 inference(scs_inference,[],[5,2,15,10])).
% 0.18/0.60 cnf(17,plain,
% 0.18/0.60 (~P3(a3,f2(x171))),
% 0.18/0.60 inference(scs_inference,[],[16,8,11])).
% 0.18/0.60 cnf(26,plain,
% 0.18/0.60 ($false),
% 0.18/0.60 inference(scs_inference,[],[17,16]),
% 0.18/0.60 ['proof']).
% 0.18/0.60 % SZS output end Proof
% 0.18/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------