TSTP Solution File: SYN075+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 01:44:04 EDT 2023
% Result : Theorem 62.22s 62.36s
% Output : CNFRefutation 62.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n007.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 20:54:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 62.22/62.35 %-------------------------------------------
% 62.22/62.35 % File :CSE---1.6
% 62.22/62.35 % Problem :theBenchmark
% 62.22/62.35 % Transform :cnf
% 62.22/62.35 % Format :tptp:raw
% 62.22/62.35 % Command :java -jar mcs_scs.jar %d %s
% 62.22/62.35
% 62.22/62.35 % Result :Theorem 61.750000s
% 62.22/62.35 % Output :CNFRefutation 61.750000s
% 62.22/62.35 %-------------------------------------------
% 62.22/62.36 %--------------------------------------------------------------------------
% 62.22/62.36 % File : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 62.22/62.36 % Domain : Syntactic
% 62.22/62.36 % Problem : Pelletier Problem 52
% 62.22/62.36 % Version : Especial.
% 62.22/62.36 % English :
% 62.22/62.36
% 62.22/62.36 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 62.22/62.36 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 62.22/62.36 % Source : [Hah94]
% 62.22/62.36 % Names : Pelletier 52 [Pel86]
% 62.22/62.36
% 62.22/62.36 % Status : Theorem
% 62.22/62.36 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.00 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 62.22/62.36 % Syntax : Number of formulae : 2 ( 0 unt; 0 def)
% 62.22/62.36 % Number of atoms : 6 ( 4 equ)
% 62.22/62.36 % Maximal formula atoms : 3 ( 3 avg)
% 62.22/62.36 % Number of connectives : 4 ( 0 ~; 0 |; 1 &)
% 62.22/62.36 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 62.22/62.36 % Maximal formula depth : 7 ( 7 avg)
% 62.22/62.36 % Maximal term depth : 1 ( 1 avg)
% 62.22/62.36 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 62.22/62.36 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 62.22/62.36 % Number of variables : 8 ( 4 !; 4 ?)
% 62.22/62.36 % SPC : FOF_THM_RFO_SEQ
% 62.22/62.36
% 62.22/62.36 % Comments :
% 62.22/62.36 %--------------------------------------------------------------------------
% 62.22/62.36 %----Problem axioms
% 62.22/62.36 fof(pel52_1,axiom,
% 62.22/62.36 ? [Z,W] :
% 62.22/62.36 ! [X,Y] :
% 62.22/62.36 ( big_f(X,Y)
% 62.22/62.36 <=> ( X = Z
% 62.22/62.36 & Y = W ) ) ).
% 62.22/62.36
% 62.22/62.36 fof(pel52,conjecture,
% 62.22/62.36 ? [W] :
% 62.22/62.36 ! [Y] :
% 62.22/62.36 ( ? [Z] :
% 62.22/62.36 ! [X] :
% 62.22/62.36 ( big_f(X,Y)
% 62.22/62.36 <=> X = Z )
% 62.22/62.36 <=> Y = W ) ).
% 62.22/62.36
% 62.22/62.36 %--------------------------------------------------------------------------
% 62.22/62.36 %-------------------------------------------
% 62.22/62.36 % Proof found
% 62.22/62.36 % SZS status Theorem for theBenchmark
% 62.22/62.36 % SZS output start Proof
% 62.22/62.36 %ClaNum:16(EqnAxiom:9)
% 62.22/62.36 %VarNum:38(SingletonVarNum:14)
% 62.22/62.36 %MaxLitNum:3
% 62.22/62.36 %MaxfuncDepth:1
% 62.22/62.36 %SharedTerms:2
% 62.22/62.36 %goalClause: 13 14 15 16
% 62.22/62.36 [11]~P1(x111,x112)+E(x111,a2)
% 62.22/62.36 [12]~P1(x122,x121)+E(x121,a1)
% 62.22/62.36 [10]P1(x101,x102)+~E(x102,a1)+~E(x101,a2)
% 62.22/62.36 [13]~E(x132,f4(x131))+E(f3(x131),x131)+P1(x132,f3(x131))
% 62.22/62.36 [14]E(f3(x142),x142)+~P1(x141,f3(x142))+E(x141,f4(x142))
% 62.22/62.36 [15]~E(f3(x151),x151)+E(f5(x151,x152),x152)+P1(f5(x151,x152),f3(x151))
% 62.22/62.36 [16]~E(f3(x161),x161)+~E(f5(x161,x162),x162)+~P1(f5(x161,x162),f3(x161))
% 62.22/62.36 %EqnAxiom
% 62.22/62.36 [1]E(x11,x11)
% 62.22/62.36 [2]E(x22,x21)+~E(x21,x22)
% 62.22/62.36 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.22/62.36 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 62.22/62.36 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 62.22/62.36 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 62.22/62.36 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 62.22/62.36 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83)
% 62.22/62.36 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91)
% 62.22/62.36
% 62.22/62.36 %-------------------------------------------
% 62.22/62.36 cnf(30,plain,
% 62.22/62.36 (E(x301,f3(x301))+P1(x302,f3(x301))+~E(x302,f4(x301))),
% 62.22/62.36 inference(scs_inference,[],[13,2])).
% 62.22/62.36 cnf(31,plain,
% 62.22/62.36 (E(x311,f3(x311))+P1(f4(x311),f3(x311))),
% 62.22/62.36 inference(equality_inference,[],[30])).
% 62.22/62.36 cnf(55,plain,
% 62.22/62.36 (E(a2,x551)+~P1(x551,x552)),
% 62.22/62.36 inference(scs_inference,[],[2,11])).
% 62.22/62.36 cnf(56,plain,
% 62.22/62.36 (E(x561,f3(x561))+E(a2,f4(x561))),
% 62.22/62.36 inference(scs_inference,[],[55,31])).
% 62.22/62.36 cnf(62,plain,
% 62.22/62.36 (E(a1,x621)+~P1(x622,x621)),
% 62.22/62.37 inference(scs_inference,[],[2,12])).
% 62.22/62.37 cnf(63,plain,
% 62.22/62.37 (E(x631,f3(x631))+E(a1,f3(x631))),
% 62.22/62.37 inference(scs_inference,[],[62,31])).
% 62.22/62.37 cnf(72,plain,
% 62.22/62.37 (~E(x721,x722)+~P1(x722,x723)+P1(x721,x723)),
% 62.22/62.37 inference(scs_inference,[],[2,8])).
% 62.22/62.37 cnf(74,plain,
% 62.22/62.37 (E(f3(x741),x741)+E(a2,f4(x741))),
% 62.22/62.37 inference(scs_inference,[],[2,56])).
% 62.22/62.37 cnf(84,plain,
% 62.22/62.37 (E(f3(x841),x841)+E(a1,f3(x841))),
% 62.22/62.37 inference(scs_inference,[],[2,63])).
% 62.22/62.37 cnf(94,plain,
% 62.22/62.37 (E(f3(x941),x941)+E(f4(x941),a2)),
% 62.22/62.37 inference(scs_inference,[],[2,74])).
% 62.22/62.37 cnf(97,plain,
% 62.22/62.37 (~E(x971,f3(x971))+E(f5(x971,x972),x972)+P1(f5(x971,x972),f3(x971))),
% 62.22/62.37 inference(scs_inference,[],[2,15])).
% 62.22/62.37 cnf(98,plain,
% 62.22/62.37 (E(f5(a1,x981),x981)+P1(f5(a1,x981),f3(a1))),
% 62.22/62.37 inference(scs_inference,[],[97,63])).
% 62.22/62.37 cnf(101,plain,
% 62.22/62.37 (E(f3(x1011),x1011)+E(f3(x1011),a1)),
% 62.22/62.37 inference(scs_inference,[],[2,84])).
% 62.22/62.37 cnf(104,plain,
% 62.22/62.37 (~E(x1041,f3(x1041))+~E(f5(x1041,x1042),x1042)+~P1(f5(x1041,x1042),f3(x1041))),
% 62.22/62.37 inference(scs_inference,[],[2,16])).
% 62.22/62.37 cnf(105,plain,
% 62.22/62.37 (~E(f5(a1,x1051),x1051)+~P1(f5(a1,x1051),f3(a1))),
% 62.22/62.37 inference(scs_inference,[],[104,63])).
% 62.22/62.37 cnf(110,plain,
% 62.22/62.37 (E(x1101,f5(a1,x1101))+P1(f5(a1,x1101),f3(a1))),
% 62.22/62.37 inference(scs_inference,[],[2,98])).
% 62.22/62.37 cnf(435,plain,
% 62.22/62.37 (~P1(f5(a1,a2),x4351)+~P1(f5(a1,a2),f3(a1))),
% 62.22/62.37 inference(scs_inference,[],[11,105])).
% 62.22/62.37 cnf(436,plain,
% 62.22/62.37 (~P1(f5(a1,a2),f3(a1))),
% 62.22/62.37 inference(factoring_inference,[],[435])).
% 62.22/62.37 cnf(445,plain,
% 62.22/62.37 ($false),
% 62.22/62.37 inference(scs_inference,[],[436,110,2,72,10,94,101]),
% 62.22/62.37 ['proof']).
% 62.22/62.37 % SZS output end Proof
% 62.22/62.37 % Total time :61.750000s
%------------------------------------------------------------------------------