TSTP Solution File: SYO614-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO614-1 : 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 : n012.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 04:08:30 EDT 2023
% Result : Unsatisfiable 125.08s 125.14s
% Output : CNFRefutation 125.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO614-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 07:05:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 125.08/125.12 %-------------------------------------------
% 125.08/125.12 % File :CSE---1.6
% 125.08/125.12 % Problem :theBenchmark
% 125.08/125.12 % Transform :cnf
% 125.08/125.12 % Format :tptp:raw
% 125.08/125.12 % Command :java -jar mcs_scs.jar %d %s
% 125.08/125.12
% 125.08/125.12 % Result :Theorem 124.520000s
% 125.08/125.12 % Output :CNFRefutation 124.520000s
% 125.08/125.12 %-------------------------------------------
% 125.08/125.13 %------------------------------------------------------------------------------
% 125.08/125.13 % File : SYO614-1 : TPTP v8.1.2. Released v7.1.0.
% 125.08/125.13 % Domain : Syntactic
% 125.08/125.13 % Problem : C(2,0)
% 125.08/125.13 % Version : Especial.
% 125.08/125.13 % English :
% 125.08/125.13
% 125.08/125.13 % Refs : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
% 125.08/125.13 % : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 125.08/125.13 % : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% 125.08/125.13 % Source : [Cer17]
% 125.08/125.13 % Names : C(2,0) [Cer17]
% 125.08/125.13
% 125.08/125.13 % Status : Unsatisfiable
% 125.08/125.13 % Rating : 0.00 v7.1.0
% 125.08/125.13 % Syntax : Number of clauses : 6 ( 1 unt; 1 nHn; 4 RR)
% 125.08/125.13 % Number of literals : 13 ( 0 equ; 8 neg)
% 125.08/125.13 % Maximal clause size : 3 ( 2 avg)
% 125.08/125.13 % Maximal term depth : 2 ( 1 avg)
% 125.08/125.13 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 125.08/125.13 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 125.08/125.13 % Number of variables : 12 ( 2 sgn)
% 125.08/125.13 % SPC : CNF_UNS_RFO_NEQ_NHN
% 125.08/125.13
% 125.08/125.14 % Comments :
% 125.08/125.14 %------------------------------------------------------------------------------
% 125.08/125.14 cnf(sos_01,axiom,
% 125.08/125.14 le(A,A) ).
% 125.08/125.14
% 125.08/125.14 cnf(sos_02,axiom,
% 125.08/125.14 ( ~ le(max(A,B),C)
% 125.08/125.14 | le(A,C) ) ).
% 125.08/125.14
% 125.08/125.14 cnf(sos_03,axiom,
% 125.08/125.14 ( ~ le(max(A,B),C)
% 125.08/125.14 | le(B,C) ) ).
% 125.08/125.14
% 125.08/125.14 cnf(sos_04,axiom,
% 125.08/125.14 ( eq(f(A),a0)
% 125.08/125.14 | eq(f(A),a1) ) ).
% 125.08/125.14
% 125.08/125.14 cnf(sos_05,axiom,
% 125.08/125.14 ( ~ eq(f(A0),a0)
% 125.08/125.14 | ~ eq(f(A1),a0)
% 125.08/125.14 | ~ le(s(A0),A1) ) ).
% 125.08/125.14
% 125.08/125.14 cnf(sos_06,axiom,
% 125.08/125.14 ( ~ eq(f(A0),a1)
% 125.08/125.14 | ~ eq(f(A1),a1)
% 125.08/125.14 | ~ le(s(A0),A1) ) ).
% 125.08/125.14
% 125.08/125.14 %------------------------------------------------------------------------------
% 125.08/125.14 %-------------------------------------------
% 125.08/125.14 % Proof found
% 125.08/125.14 % SZS status Theorem for theBenchmark
% 125.08/125.14 % SZS output start Proof
% 125.08/125.14 %ClaNum:6(EqnAxiom:0)
% 125.08/125.14 %VarNum:22(SingletonVarNum:12)
% 125.08/125.14 %MaxLitNum:3
% 125.08/125.14 %MaxfuncDepth:1
% 125.08/125.14 %SharedTerms:2
% 125.08/125.14 [1]P1(x11,x11)
% 125.08/125.14 [2]P2(f1(x21),a2)+P2(f1(x21),a3)
% 125.08/125.14 [3]P1(x31,x32)+~P1(f4(x33,x31),x32)
% 125.08/125.14 [4]P1(x41,x42)+~P1(f4(x41,x43),x42)
% 125.08/125.14 [5]~P1(f5(x51),x52)+~P2(f1(x52),a2)+~P2(f1(x51),a2)
% 125.08/125.14 [6]~P1(f5(x61),x62)+~P2(f1(x62),a3)+~P2(f1(x61),a3)
% 125.08/125.14 %EqnAxiom
% 125.08/125.14
% 125.08/125.14 %-------------------------------------------
% 125.08/125.16 cnf(7,plain,
% 125.08/125.16 (P1(x71,f4(x71,x72))),
% 125.08/125.16 inference(scs_inference,[],[1,4])).
% 125.08/125.16 cnf(8,plain,
% 125.08/125.16 (P1(x81,x81)),
% 125.08/125.16 inference(rename_variables,[],[1])).
% 125.08/125.16 cnf(10,plain,
% 125.08/125.16 (P1(x101,x101)),
% 125.08/125.16 inference(rename_variables,[],[1])).
% 125.08/125.16 cnf(12,plain,
% 125.08/125.16 (~P2(f1(x121),a3)+~P2(f1(f5(x121)),a3)),
% 125.08/125.16 inference(scs_inference,[],[1,8,10,4,3,6])).
% 125.08/125.16 cnf(14,plain,
% 125.08/125.16 (~P2(f1(x141),a2)+~P2(f1(f5(x141)),a2)),
% 125.08/125.16 inference(scs_inference,[],[1,8,10,4,3,6,5])).
% 125.08/125.16 cnf(16,plain,
% 125.08/125.16 (~P2(f1(f5(x161)),a2)+P2(f1(x161),a3)),
% 125.08/125.16 inference(scs_inference,[],[2,14])).
% 125.08/125.16 cnf(18,plain,
% 125.08/125.16 (P1(x181,f4(f4(x182,x181),x183))),
% 125.08/125.16 inference(scs_inference,[],[7,3])).
% 125.08/125.16 cnf(24,plain,
% 125.08/125.16 (~P2(f1(f5(x241)),a3)+P2(f1(x241),a2)),
% 125.08/125.16 inference(scs_inference,[],[2,12])).
% 125.08/125.16 cnf(35,plain,
% 125.08/125.16 (~P2(f1(x351),a3)+P2(f1(f5(x351)),a2)),
% 125.08/125.16 inference(scs_inference,[],[2,12])).
% 125.08/125.16 cnf(40,plain,
% 125.08/125.16 (P2(f1(x401),a3)+P2(f1(f5(x401)),a3)),
% 125.08/125.16 inference(scs_inference,[],[2,16])).
% 125.08/125.16 cnf(42,plain,
% 125.18/125.16 (~P2(f1(x421),a2)+P2(f1(f4(f4(x422,f5(x421)),x423)),a3)),
% 125.18/125.16 inference(scs_inference,[],[18,2,5])).
% 125.18/125.16 cnf(56,plain,
% 125.18/125.16 (~P2(f1(f4(x561,f5(x562))),a3)+~P2(f1(x562),a3)),
% 125.18/125.16 inference(scs_inference,[],[1,3,6])).
% 125.18/125.16 cnf(456,plain,
% 125.18/125.16 (~P2(f1(x4561),a3)+~P2(f1(x4562),a2)),
% 125.18/125.16 inference(scs_inference,[],[56,42])).
% 125.18/125.16 cnf(457,plain,
% 125.18/125.16 (~P2(f1(x4571),a2)+P2(f1(x4572),a2)),
% 125.18/125.16 inference(scs_inference,[],[456,2])).
% 125.18/125.16 cnf(458,plain,
% 125.18/125.16 (~P2(f1(f5(x4581)),a3)+P2(f1(x4582),a2)),
% 125.18/125.16 inference(scs_inference,[],[457,24])).
% 125.18/125.16 cnf(459,plain,
% 125.18/125.16 (P2(f1(f5(f5(x4591))),a3)+P2(f1(x4592),a2)),
% 125.18/125.16 inference(scs_inference,[],[458,40])).
% 125.18/125.16 cnf(460,plain,
% 125.18/125.16 (P2(f1(f5(f5(f5(x4601)))),a2)+P2(f1(x4602),a2)),
% 125.18/125.16 inference(scs_inference,[],[459,35])).
% 125.18/125.16 cnf(462,plain,
% 125.18/125.16 (~P2(f1(x4621),a3)+P2(f1(x4622),a3)),
% 125.18/125.16 inference(scs_inference,[],[456,2])).
% 125.18/125.16 cnf(463,plain,
% 125.18/125.16 (~P2(f1(f5(x4631)),a2)+P2(f1(x4632),a3)),
% 125.18/125.16 inference(scs_inference,[],[462,16])).
% 125.18/125.16 cnf(464,plain,
% 125.18/125.16 (P2(f1(x4641),a3)),
% 125.18/125.16 inference(scs_inference,[],[463,460])).
% 125.18/125.16 cnf(465,plain,
% 125.18/125.16 (~P2(f1(x4651),a2)),
% 125.18/125.16 inference(scs_inference,[],[464,456])).
% 125.18/125.16 cnf(466,plain,
% 125.18/125.16 (P2(f1(x4661),a2)),
% 125.18/125.16 inference(scs_inference,[],[464,458])).
% 125.18/125.16 cnf(473,plain,
% 125.18/125.16 ($false),
% 125.18/125.16 inference(scs_inference,[],[465,466]),
% 125.18/125.16 ['proof']).
% 125.18/125.16 % SZS output end Proof
% 125.18/125.16 % Total time :124.520000s
%------------------------------------------------------------------------------