TSTP Solution File: SYN074+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN074+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 : 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 : Fri Sep 1 01:44:03 EDT 2023
% Result : Theorem 23.88s 24.01s
% Output : CNFRefutation 23.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN074+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
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 18:50:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 23.88/24.01 %-------------------------------------------
% 23.88/24.01 % File :CSE---1.6
% 23.88/24.01 % Problem :theBenchmark
% 23.88/24.01 % Transform :cnf
% 23.88/24.01 % Format :tptp:raw
% 23.88/24.01 % Command :java -jar mcs_scs.jar %d %s
% 23.88/24.01
% 23.88/24.01 % Result :Theorem 23.400000s
% 23.88/24.01 % Output :CNFRefutation 23.400000s
% 23.88/24.01 %-------------------------------------------
% 23.88/24.01 %--------------------------------------------------------------------------
% 23.88/24.01 % File : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% 23.88/24.01 % Domain : Syntactic
% 23.88/24.01 % Problem : Pelletier Problem 51
% 23.88/24.01 % Version : Especial.
% 23.88/24.01 % English :
% 23.88/24.01
% 23.88/24.01 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 23.88/24.01 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 23.88/24.01 % Source : [Hah94]
% 23.88/24.01 % Names : Pelletier 51 [Pel86]
% 23.88/24.01
% 23.88/24.01 % Status : Theorem
% 23.88/24.01 % 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 v6.3.0, 0.04 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 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
% 23.88/24.01 % Syntax : Number of formulae : 2 ( 0 unt; 0 def)
% 23.88/24.01 % Number of atoms : 6 ( 4 equ)
% 23.88/24.01 % Maximal formula atoms : 3 ( 3 avg)
% 23.88/24.01 % Number of connectives : 4 ( 0 ~; 0 |; 1 &)
% 23.88/24.01 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 23.88/24.01 % Maximal formula depth : 7 ( 7 avg)
% 23.88/24.01 % Maximal term depth : 1 ( 1 avg)
% 23.88/24.01 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 23.88/24.01 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 23.88/24.01 % Number of variables : 8 ( 4 !; 4 ?)
% 23.88/24.01 % SPC : FOF_THM_RFO_SEQ
% 23.88/24.01
% 23.88/24.01 % Comments :
% 23.88/24.01 %--------------------------------------------------------------------------
% 23.88/24.01 %----Problem axioms
% 23.88/24.01 fof(pel51_1,axiom,
% 23.88/24.01 ? [Z,W] :
% 23.88/24.01 ! [X,Y] :
% 23.88/24.01 ( big_f(X,Y)
% 23.88/24.01 <=> ( X = Z
% 23.88/24.01 & Y = W ) ) ).
% 23.88/24.01
% 23.88/24.01 fof(pel51,conjecture,
% 23.88/24.01 ? [Z] :
% 23.88/24.01 ! [X] :
% 23.88/24.01 ( ? [W] :
% 23.88/24.01 ! [Y] :
% 23.88/24.01 ( big_f(X,Y)
% 23.88/24.01 <=> Y = W )
% 23.88/24.01 <=> X = Z ) ).
% 23.88/24.01
% 23.88/24.01 %--------------------------------------------------------------------------
% 23.88/24.01 %-------------------------------------------
% 23.88/24.01 % Proof found
% 23.88/24.01 % SZS status Theorem for theBenchmark
% 23.88/24.01 % SZS output start Proof
% 23.88/24.01 %ClaNum:16(EqnAxiom:9)
% 23.88/24.01 %VarNum:38(SingletonVarNum:14)
% 23.88/24.01 %MaxLitNum:3
% 23.88/24.01 %MaxfuncDepth:1
% 23.88/24.01 %SharedTerms:2
% 23.88/24.01 %goalClause: 13 14 15 16
% 23.88/24.01 [11]~P1(x111,x112)+E(x111,a2)
% 23.88/24.01 [12]~P1(x122,x121)+E(x121,a1)
% 23.88/24.01 [10]P1(x101,x102)+~E(x102,a1)+~E(x101,a2)
% 23.88/24.01 [13]~E(x132,f4(x131))+E(f3(x131),x131)+P1(f3(x131),x132)
% 23.88/24.01 [14]E(f3(x142),x142)+~P1(f3(x142),x141)+E(x141,f4(x142))
% 23.88/24.01 [15]~E(f3(x151),x151)+E(f5(x151,x152),x152)+P1(f3(x151),f5(x151,x152))
% 23.88/24.01 [16]~E(f3(x161),x161)+~E(f5(x161,x162),x162)+~P1(f3(x161),f5(x161,x162))
% 23.88/24.01 %EqnAxiom
% 23.88/24.01 [1]E(x11,x11)
% 23.88/24.01 [2]E(x22,x21)+~E(x21,x22)
% 23.88/24.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 23.88/24.01 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 23.88/24.01 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 23.88/24.01 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 23.88/24.01 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 23.88/24.01 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83)
% 23.88/24.01 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91)
% 23.88/24.01
% 23.88/24.01 %-------------------------------------------
% 23.98/24.02 cnf(30,plain,
% 23.98/24.02 (E(x301,f3(x301))+P1(f3(x301),x302)+~E(x302,f4(x301))),
% 23.98/24.02 inference(scs_inference,[],[13,2])).
% 23.98/24.02 cnf(31,plain,
% 23.98/24.02 (E(x311,f3(x311))+P1(f3(x311),f4(x311))),
% 23.98/24.02 inference(equality_inference,[],[30])).
% 23.98/24.02 cnf(49,plain,
% 23.98/24.02 (~E(x491,x492)+E(f5(x492,x493),f5(x491,x493))),
% 23.98/24.02 inference(scs_inference,[],[2,5])).
% 23.98/24.02 cnf(51,plain,
% 23.98/24.02 (E(f5(x511,x512),f5(x511,x513))+~E(x513,x512)),
% 23.98/24.02 inference(scs_inference,[],[2,6])).
% 23.98/24.02 cnf(53,plain,
% 23.98/24.02 (~E(x531,x532)+E(f4(x532),f4(x531))),
% 23.98/24.02 inference(scs_inference,[],[2,7])).
% 23.98/24.02 cnf(55,plain,
% 23.98/24.02 (E(a2,x551)+~P1(x551,x552)),
% 23.98/24.02 inference(scs_inference,[],[2,11])).
% 23.98/24.02 cnf(56,plain,
% 23.98/24.02 (E(x561,f3(x561))+E(a2,f3(x561))),
% 23.98/24.02 inference(scs_inference,[],[55,31])).
% 23.98/24.02 cnf(83,plain,
% 23.98/24.02 (~E(a1,x831)+P1(x832,x831)+~E(x832,a2)),
% 23.98/24.02 inference(scs_inference,[],[2,10])).
% 23.98/24.02 cnf(88,plain,
% 23.98/24.02 (~E(a2,x881)+P1(x881,x882)+~E(x882,a1)),
% 23.98/24.02 inference(scs_inference,[],[2,10])).
% 23.98/24.02 cnf(98,plain,
% 23.98/24.02 (~E(x981,f3(x981))+E(f5(x981,x982),x982)+P1(f3(x981),f5(x981,x982))),
% 23.98/24.02 inference(scs_inference,[],[2,15])).
% 23.98/24.02 cnf(99,plain,
% 23.98/24.02 (E(f5(a2,x991),x991)+P1(f3(a2),f5(a2,x991))),
% 23.98/24.02 inference(scs_inference,[],[98,56])).
% 23.98/24.02 cnf(105,plain,
% 23.98/24.02 (~E(x1051,f3(x1051))+~E(f5(x1051,x1052),x1052)+~P1(f3(x1051),f5(x1051,x1052))),
% 23.98/24.02 inference(scs_inference,[],[2,16])).
% 23.98/24.02 cnf(106,plain,
% 23.98/24.02 (~E(f5(a2,x1061),x1061)+~P1(f3(a2),f5(a2,x1061))),
% 23.98/24.02 inference(scs_inference,[],[105,56])).
% 23.98/24.02 cnf(116,plain,
% 23.98/24.02 (E(x1161,f5(a2,x1161))+P1(f3(a2),f5(a2,x1161))),
% 23.98/24.02 inference(scs_inference,[],[2,99])).
% 23.98/24.02 cnf(117,plain,
% 23.98/24.02 (P1(f3(a2),f5(a2,x1171))+E(f3(x1171),f3(f5(a2,x1171)))),
% 23.98/24.02 inference(scs_inference,[],[116,4])).
% 23.98/24.02 cnf(352,plain,
% 23.98/24.02 (~P1(x3521,x3522)+P1(x3521,x3523)+~E(a1,x3523)),
% 23.98/24.02 inference(scs_inference,[],[11,83])).
% 23.98/24.02 cnf(353,plain,
% 23.98/24.02 (~P1(x3531,x3532)+P1(x3531,a1)),
% 23.98/24.02 inference(equality_inference,[],[352])).
% 23.98/24.02 cnf(354,plain,
% 23.98/24.02 (E(x3541,f3(x3541))+P1(f3(x3541),a1)),
% 23.98/24.02 inference(scs_inference,[],[353,31])).
% 23.98/24.02 cnf(355,plain,
% 23.98/24.02 (E(f3(x3551),x3551)+P1(f3(x3551),a1)),
% 23.98/24.02 inference(scs_inference,[],[354,2])).
% 23.98/24.02 cnf(442,plain,
% 23.98/24.02 (~P1(x4421,x4422)+P1(x4421,x4423)+~E(x4423,a1)),
% 23.98/24.02 inference(scs_inference,[],[11,10])).
% 23.98/24.02 cnf(457,plain,
% 23.98/24.02 (~P1(x4571,x4572)+~P1(x4571,x4573)+P1(a2,x4572)),
% 23.98/24.02 inference(scs_inference,[],[11,8])).
% 23.98/24.02 cnf(458,plain,
% 23.98/24.02 (E(x4581,f3(x4581))+P1(a2,f4(x4581))),
% 23.98/24.02 inference(scs_inference,[],[457,31])).
% 23.98/24.02 cnf(459,plain,
% 23.98/24.02 (E(f3(x4591),x4591)+P1(a2,f4(x4591))),
% 23.98/24.02 inference(scs_inference,[],[458,2])).
% 23.98/24.02 cnf(513,plain,
% 23.98/24.02 (~P1(x5131,x5132)+E(f5(x5132,x5133),f5(a1,x5133))),
% 23.98/24.02 inference(scs_inference,[],[12,5])).
% 23.98/24.02 cnf(514,plain,
% 23.98/24.02 (E(x5141,f3(x5141))+E(f5(f4(x5141),x5142),f5(a1,x5142))),
% 23.98/24.02 inference(scs_inference,[],[513,31])).
% 23.98/24.02 cnf(515,plain,
% 23.98/24.02 (E(f3(x5151),x5151)+E(f5(f4(x5151),x5152),f5(a1,x5152))),
% 23.98/24.02 inference(scs_inference,[],[514,2])).
% 23.98/24.02 cnf(522,plain,
% 23.98/24.02 (~P1(x5221,x5222)+E(f5(x5223,x5222),f5(x5223,a1))),
% 23.98/24.02 inference(scs_inference,[],[12,6])).
% 23.98/24.02 cnf(523,plain,
% 23.98/24.02 (E(x5231,f3(x5231))+E(f5(x5232,f4(x5231)),f5(x5232,a1))),
% 23.98/24.02 inference(scs_inference,[],[522,31])).
% 23.98/24.02 cnf(524,plain,
% 23.98/24.02 (E(f3(x5241),x5241)+E(f5(x5242,f4(x5241)),f5(x5242,a1))),
% 23.98/24.02 inference(scs_inference,[],[523,2])).
% 23.98/24.02 cnf(529,plain,
% 23.98/24.02 (~P1(x5291,x5292)+E(f4(x5292),f4(a1))),
% 23.98/24.02 inference(scs_inference,[],[12,7])).
% 23.98/24.02 cnf(530,plain,
% 23.98/24.02 (E(x5301,f3(x5301))+E(f4(f4(x5301)),f4(a1))),
% 23.98/24.02 inference(scs_inference,[],[529,31])).
% 23.98/24.02 cnf(531,plain,
% 23.98/24.02 (E(f3(x5311),x5311)+E(f4(f4(x5311)),f4(a1))),
% 23.98/24.02 inference(scs_inference,[],[530,2])).
% 23.98/24.02 cnf(536,plain,
% 23.98/24.02 (E(f5(a1,x5361),f5(x5362,x5361))+~P1(x5363,x5362)),
% 23.98/24.02 inference(scs_inference,[],[12,49])).
% 23.98/24.02 cnf(537,plain,
% 23.98/24.02 (E(x5371,f3(x5371))+E(f5(a1,x5372),f5(f4(x5371),x5372))),
% 23.98/24.02 inference(scs_inference,[],[536,31])).
% 23.98/24.02 cnf(538,plain,
% 23.98/24.02 (E(f3(x5381),x5381)+E(f5(a1,x5382),f5(f4(x5381),x5382))),
% 23.98/24.02 inference(scs_inference,[],[537,2])).
% 23.98/24.02 cnf(545,plain,
% 23.98/24.02 (E(f5(x5451,a1),f5(x5451,x5452))+~P1(x5453,x5452)),
% 23.98/24.02 inference(scs_inference,[],[12,51])).
% 23.98/24.02 cnf(546,plain,
% 23.98/24.02 (E(x5461,f3(x5461))+E(f5(x5462,a1),f5(x5462,f4(x5461)))),
% 23.98/24.02 inference(scs_inference,[],[545,31])).
% 23.98/24.02 cnf(547,plain,
% 23.98/24.02 (E(f3(x5471),x5471)+E(f5(x5472,a1),f5(x5472,f4(x5471)))),
% 23.98/24.02 inference(scs_inference,[],[546,2])).
% 23.98/24.02 cnf(552,plain,
% 23.98/24.02 (E(f4(a1),f4(x5521))+~P1(x5522,x5521)),
% 23.98/24.02 inference(scs_inference,[],[12,53])).
% 23.98/24.02 cnf(553,plain,
% 23.98/24.02 (E(x5531,f3(x5531))+E(f4(a1),f4(f4(x5531)))),
% 23.98/24.02 inference(scs_inference,[],[552,31])).
% 23.98/24.02 cnf(554,plain,
% 23.98/24.02 (E(f3(x5541),x5541)+E(f4(a1),f4(f4(x5541)))),
% 23.98/24.02 inference(scs_inference,[],[553,2])).
% 23.98/24.02 cnf(559,plain,
% 23.98/24.02 (~P1(x5591,f5(a2,a1))+~P1(f3(a2),f5(a2,a1))),
% 23.98/24.02 inference(scs_inference,[],[12,106])).
% 23.98/24.02 cnf(560,plain,
% 23.98/24.02 (~P1(f3(a2),f5(a2,a1))),
% 23.98/24.02 inference(factoring_inference,[],[559])).
% 23.98/24.02 cnf(588,plain,
% 23.98/24.02 ($false),
% 23.98/24.02 inference(scs_inference,[],[560,117,99,442,88,30,10,2,554,547,538,531,524,515,459,355]),
% 23.98/24.02 ['proof']).
% 23.98/24.02 % SZS output end Proof
% 23.98/24.02 % Total time :23.400000s
%------------------------------------------------------------------------------