TSTP Solution File: SYO629-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 04:08:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.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 06:31:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 0.20/0.63 % Domain : Syntactic
% 0.20/0.63 % Problem : ECSClauseSet1
% 0.20/0.63 % Version : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
% 0.20/0.63 % : [CL16] Cerna & Leitsch (2016), Schematic Cut Elimination and
% 0.20/0.63 % : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.20/0.63 % : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% 0.20/0.63 % Source : [Cer17]
% 0.20/0.63 % Names : ECSClauseSet1 [Cer17]
% 0.20/0.63
% 0.20/0.63 % Status : Unsatisfiable
% 0.20/0.63 % Rating : 0.14 v8.1.0, 0.00 v7.1.0
% 0.20/0.63 % Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 7 RR)
% 0.20/0.63 % Number of literals : 20 ( 0 equ; 10 neg)
% 0.20/0.63 % Maximal clause size : 4 ( 1 avg)
% 0.20/0.63 % Maximal term depth : 3 ( 2 avg)
% 0.20/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.20/0.63 % Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% 0.20/0.63 % Number of variables : 13 ( 2 sgn)
% 0.20/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 cnf(clause_8_01,axiom,
% 0.20/0.63 ~ 'E'(f(A_3),f(g(A_3))) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_0_02,axiom,
% 0.20/0.63 iLEQ(A_3,A_3) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_11_03,axiom,
% 0.20/0.63 ( ~ 'E'('0',f(A_3))
% 0.20/0.63 | ~ 'E'('0',f(g(A_3)))
% 0.20/0.63 | 'E'(f(A_3),f(g(A_3))) ) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_6_04,axiom,
% 0.20/0.63 ( 'E'(s('0'),f(A))
% 0.20/0.63 | 'LE'(f(A),s('0')) ) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_7_05,axiom,
% 0.20/0.63 ~ 'LE'(f(A_3),'0') ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_10_06,axiom,
% 0.20/0.63 ( ~ 'LE'(f(A_1),s('0'))
% 0.20/0.63 | ~ iLEQ(A_1,B_0)
% 0.20/0.63 | 'E'('0',f(B_0))
% 0.20/0.63 | 'LE'(f(B_0),'0') ) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_1_07,axiom,
% 0.20/0.63 ( ~ 'E'(s('0'),f(A_2))
% 0.20/0.63 | ~ 'E'(s('0'),f(g(A_2)))
% 0.20/0.63 | 'E'(f(A_2),f(g(A_2))) ) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_2_08,axiom,
% 0.20/0.63 ~ 'LE'(f(g(A_3)),'0') ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_3_09,axiom,
% 0.20/0.63 iLEQ(A_3,g(A_3)) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_5_10,axiom,
% 0.20/0.63 iLEQ(A_2,g(A_2)) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_4_11,axiom,
% 0.20/0.63 ~ 'E'(f(A_2),f(g(A_2))) ).
% 0.20/0.63
% 0.20/0.63 cnf(clause_9_12,axiom,
% 0.20/0.63 iLEQ(A_2,A_2) ).
% 0.20/0.63
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:12(EqnAxiom:0)
% 0.20/0.63 %VarNum:22(SingletonVarNum:9)
% 0.20/0.63 %MaxLitNum:4
% 0.20/0.63 %MaxfuncDepth:2
% 0.20/0.63 %SharedTerms:2
% 0.20/0.63 [2]P1(x21,x21)
% 0.20/0.63 [4]P1(x41,f1(x41))
% 0.20/0.63 [5]~P2(f2(x51),a3)
% 0.20/0.63 [8]~P3(f2(x81),f2(f1(x81)))
% 0.20/0.63 [9]P2(f2(x91),f4(a3))+P3(f4(a3),f2(x91))
% 0.20/0.63 [11]P3(f2(x111),f2(f1(x111)))+~P3(a3,f2(x111))+~P3(a3,f2(f1(x111)))
% 0.20/0.63 [12]~P3(f4(a3),f2(x121))+P3(f2(x121),f2(f1(x121)))+~P3(f4(a3),f2(f1(x121)))
% 0.20/0.63 [10]~P1(x102,x101)+~P2(f2(x102),f4(a3))+P3(a3,f2(x101))+P2(f2(x101),a3)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.64 cnf(13,plain,
% 0.20/0.64 (~P3(a3,f2(x131))+~P3(a3,f2(f1(x131)))),
% 0.20/0.64 inference(scs_inference,[],[8,11])).
% 0.20/0.64 cnf(16,plain,
% 0.20/0.64 (P2(f2(x161),f4(a3))+~P3(f4(a3),f2(f1(x161)))),
% 0.20/0.64 inference(scs_inference,[],[8,12,9])).
% 0.20/0.64 cnf(17,plain,
% 0.20/0.64 (~P2(f2(x171),f4(a3))+P3(a3,f2(f1(x171)))),
% 0.20/0.64 inference(scs_inference,[],[4,5,10])).
% 0.20/0.64 cnf(19,plain,
% 0.20/0.64 (~P3(a3,f2(x191))+~P2(f2(f1(x191)),f4(a3))),
% 0.20/0.64 inference(scs_inference,[],[5,2,13,10])).
% 0.20/0.64 cnf(21,plain,
% 0.20/0.64 (~P3(f4(a3),f2(f1(x211)))+P3(a3,f2(f1(x211)))),
% 0.20/0.64 inference(scs_inference,[],[17,16])).
% 0.20/0.64 cnf(22,plain,
% 0.20/0.64 (~P3(a3,f2(x221))+P3(f4(a3),f2(f1(x221)))),
% 0.20/0.64 inference(scs_inference,[],[19,9])).
% 0.20/0.64 cnf(24,plain,
% 0.20/0.64 (~P3(a3,f2(x241))+P3(a3,f2(f1(x241)))),
% 0.20/0.64 inference(scs_inference,[],[22,21])).
% 0.20/0.64 cnf(25,plain,
% 0.20/0.64 (~P2(f2(x251),f4(a3))+P3(a3,f2(x251))),
% 0.20/0.64 inference(scs_inference,[],[2,5,10])).
% 0.20/0.64 cnf(27,plain,
% 0.20/0.64 (~P3(a3,f2(x271))),
% 0.20/0.64 inference(scs_inference,[],[24,13])).
% 0.20/0.64 cnf(32,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[27,25,21,9]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------