TSTP Solution File: HEN007-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Thu Aug 31 01:54:05 EDT 2023
% Result : Unsatisfiable 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.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 : Thu Aug 24 13:30:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.020000s
% 0.19/0.64 % Output :CNFRefutation 0.020000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 % File : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.65 % Domain : Henkin Models
% 0.19/0.65 % Problem : X <= Y => Z/Y <= Z/X
% 0.19/0.65 % Version : [MOW76] axioms : Augmented.
% 0.19/0.65 % English :
% 0.19/0.65
% 0.19/0.65 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.19/0.65 % Source : [ANL]
% 0.19/0.65 % Names : hp7.ver2.in [ANL]
% 0.19/0.65
% 0.19/0.65 % Status : Unsatisfiable
% 0.19/0.65 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.0.0
% 0.19/0.65 % Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 8 RR)
% 0.19/0.65 % Number of literals : 22 ( 7 equ; 8 neg)
% 0.19/0.65 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.65 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.19/0.65 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 0.19/0.65 % Number of variables : 22 ( 5 sgn)
% 0.19/0.65 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.65
% 0.19/0.65 % Comments :
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %----Include Henkin model axioms for equality formulation
% 0.19/0.65 include('Axioms/HEN002-0.ax').
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 cnf(everything_divide_id_is_zero,axiom,
% 0.19/0.65 divide(X,identity) = zero ).
% 0.19/0.65
% 0.19/0.65 cnf(zero_divide_anything_is_zero,axiom,
% 0.19/0.65 divide(zero,X) = zero ).
% 0.19/0.65
% 0.19/0.65 cnf(x_divide_x_is_zero,axiom,
% 0.19/0.65 divide(X,X) = zero ).
% 0.19/0.65
% 0.19/0.65 cnf(x_divide_zero_is_x,axiom,
% 0.19/0.65 divide(a,zero) = a ).
% 0.19/0.65
% 0.19/0.65 cnf(transitivity_of_less_equal,axiom,
% 0.19/0.65 ( ~ less_equal(X,Y)
% 0.19/0.65 | ~ less_equal(Y,Z)
% 0.19/0.65 | less_equal(X,Z) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(property_of_divide1,axiom,
% 0.19/0.65 ( ~ less_equal(divide(X,Y),Z)
% 0.19/0.65 | less_equal(divide(X,Z),Y) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(a_LE_b,hypothesis,
% 0.19/0.65 less_equal(a,b) ).
% 0.19/0.65
% 0.19/0.65 cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
% 0.19/0.65 ~ less_equal(divide(c,b),divide(c,a)) ).
% 0.19/0.65
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:22(EqnAxiom:7)
% 0.19/0.65 %VarNum:42(SingletonVarNum:22)
% 0.19/0.65 %MaxLitNum:3
% 0.19/0.65 %MaxfuncDepth:2
% 0.19/0.65 %SharedTerms:11
% 0.19/0.65 %goalClause: 17
% 0.19/0.65 %singleGoalClaCount:1
% 0.19/0.65 [9]P1(a1,a4)
% 0.19/0.65 [8]E(f3(a1,a2),a1)
% 0.19/0.65 [17]~P1(f3(a5,a4),f3(a5,a1))
% 0.19/0.65 [12]P1(x121,a6)
% 0.19/0.65 [13]P1(a2,x131)
% 0.19/0.65 [10]E(f3(x101,a6),a2)
% 0.19/0.65 [11]E(f3(a2,x111),a2)
% 0.19/0.65 [14]E(f3(x141,x141),a2)
% 0.19/0.65 [15]P1(f3(x151,x152),x151)
% 0.19/0.65 [16]P1(f3(f3(x161,x162),f3(x163,x162)),f3(f3(x161,x163),x162))
% 0.19/0.65 [18]~P1(x181,x182)+E(f3(x181,x182),a2)
% 0.19/0.65 [19]P1(x191,x192)+~E(f3(x191,x192),a2)
% 0.19/0.65 [22]~P1(f3(x221,x223),x222)+P1(f3(x221,x222),x223)
% 0.19/0.65 [20]~P1(x202,x201)+~P1(x201,x202)+E(x201,x202)
% 0.19/0.65 [21]~P1(x211,x213)+P1(x211,x212)+~P1(x213,x212)
% 0.19/0.65 %EqnAxiom
% 0.19/0.65 [1]E(x11,x11)
% 0.19/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.65 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.65 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.65 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.19/0.65 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.19/0.65
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 cnf(23,plain,
% 0.19/0.65 (E(a1,f3(a1,a2))),
% 0.19/0.65 inference(scs_inference,[],[8,2])).
% 0.19/0.65 cnf(24,plain,
% 0.19/0.65 (P1(x241,x241)),
% 0.19/0.65 inference(scs_inference,[],[8,14,2,19])).
% 0.19/0.65 cnf(26,plain,
% 0.19/0.65 (~P1(f3(a5,f3(a5,a1)),a4)),
% 0.19/0.65 inference(scs_inference,[],[17,8,14,2,19,22])).
% 0.19/0.65 cnf(30,plain,
% 0.19/0.65 (~E(a2,f3(a5,a4))),
% 0.19/0.65 inference(scs_inference,[],[17,12,13,8,14,2,19,22,7,6])).
% 0.19/0.65 cnf(31,plain,
% 0.19/0.65 (P1(a2,x311)),
% 0.19/0.65 inference(rename_variables,[],[13])).
% 0.19/0.65 cnf(35,plain,
% 0.19/0.65 (E(f3(x351,f3(a1,a2)),f3(x351,a1))),
% 0.19/0.65 inference(scs_inference,[],[17,12,13,31,8,14,2,19,22,7,6,20,5])).
% 0.19/0.65 cnf(36,plain,
% 0.19/0.65 (E(f3(f3(a1,a2),x361),f3(a1,x361))),
% 0.19/0.65 inference(scs_inference,[],[17,12,13,31,8,14,2,19,22,7,6,20,5,4])).
% 0.19/0.65 cnf(39,plain,
% 0.19/0.65 (~E(a6,f3(a5,f3(a1,a2)))),
% 0.19/0.65 inference(scs_inference,[],[17,12,13,31,9,8,14,2,19,22,7,6,20,5,4,18,3])).
% 0.19/0.65 cnf(46,plain,
% 0.19/0.65 (~P1(f3(a5,a4),f3(f3(a5,a1),x461))),
% 0.19/0.65 inference(scs_inference,[],[17,15,12,39,20,21])).
% 0.19/0.65 cnf(47,plain,
% 0.19/0.65 (P1(f3(x471,x472),x471)),
% 0.19/0.65 inference(rename_variables,[],[15])).
% 0.19/0.65 cnf(49,plain,
% 0.19/0.65 (~E(f3(f3(a5,a4),f3(a5,a1)),a2)),
% 0.19/0.65 inference(scs_inference,[],[17,15,12,39,20,21,19])).
% 0.19/0.65 cnf(51,plain,
% 0.19/0.65 (P1(f3(x511,x511),x512)),
% 0.19/0.65 inference(scs_inference,[],[17,15,47,12,39,20,21,19,22])).
% 0.19/0.65 cnf(54,plain,
% 0.19/0.65 (~P1(f3(a5,a4),f3(a5,f3(a1,a2)))),
% 0.19/0.65 inference(scs_inference,[],[17,15,47,12,35,39,20,21,19,22,2,7])).
% 0.19/0.65 cnf(55,plain,
% 0.19/0.65 (E(f3(x551,f3(a1,a2)),f3(x551,a1))),
% 0.19/0.65 inference(rename_variables,[],[35])).
% 0.19/0.66 cnf(58,plain,
% 0.19/0.66 (E(f3(a1,f3(a1,a2)),a2)),
% 0.19/0.66 inference(scs_inference,[],[17,15,47,12,14,35,55,39,20,21,19,22,2,7,6,3])).
% 0.19/0.66 cnf(61,plain,
% 0.19/0.66 (~E(f3(a5,a1),a5)),
% 0.19/0.66 inference(scs_inference,[],[17,15,47,12,14,35,55,39,20,21,19,22,2,7,6,3,4])).
% 0.19/0.66 cnf(62,plain,
% 0.19/0.66 (~P1(f3(f3(a5,a4),f3(a5,a1)),a2)),
% 0.19/0.66 inference(scs_inference,[],[13,49,20])).
% 0.19/0.66 cnf(65,plain,
% 0.19/0.66 (P1(f3(f3(x651,x652),f3(x653,x652)),f3(x651,x653))),
% 0.19/0.66 inference(scs_inference,[],[16,13,15,49,20,21])).
% 0.19/0.66 cnf(70,plain,
% 0.19/0.66 (~P1(f3(a5,f3(f3(a5,a1),x701)),a4)),
% 0.19/0.66 inference(scs_inference,[],[16,13,15,49,46,58,20,21,19,22])).
% 0.19/0.66 cnf(73,plain,
% 0.19/0.66 (E(f3(x731,a6),a2)),
% 0.19/0.66 inference(rename_variables,[],[10])).
% 0.19/0.66 cnf(78,plain,
% 0.19/0.66 (E(a2,f3(x781,a6))),
% 0.19/0.66 inference(scs_inference,[],[8,23,10,73,16,13,9,15,49,36,46,58,20,21,19,22,7,3,6,2])).
% 0.19/0.66 cnf(81,plain,
% 0.19/0.66 (P1(f3(x811,x812),x811)),
% 0.19/0.66 inference(rename_variables,[],[15])).
% 0.19/0.66 cnf(84,plain,
% 0.19/0.66 (P1(f3(x841,x842),x841)),
% 0.19/0.66 inference(rename_variables,[],[15])).
% 0.19/0.66 cnf(86,plain,
% 0.19/0.66 (P1(f3(x861,a6),x862)),
% 0.19/0.66 inference(scs_inference,[],[12,15,81,54,61,20,21,22])).
% 0.19/0.66 cnf(89,plain,
% 0.19/0.66 (~E(f3(f3(a5,a4),f3(a5,f3(a1,a2))),a2)),
% 0.19/0.66 inference(scs_inference,[],[12,15,81,54,61,20,21,22,19])).
% 0.19/0.66 cnf(92,plain,
% 0.19/0.66 (~E(f3(x921,a6),f3(a5,a4))),
% 0.19/0.66 inference(scs_inference,[],[12,9,15,81,30,54,61,78,70,20,21,22,19,6,3])).
% 0.19/0.66 cnf(96,plain,
% 0.19/0.66 (~E(a6,a4)),
% 0.19/0.66 inference(scs_inference,[],[12,9,15,81,84,30,54,61,78,70,20,21,22,19,6,3,7,2,5])).
% 0.19/0.66 cnf(102,plain,
% 0.19/0.66 (E(f3(f3(x1021,x1022),f3(x1021,x1022)),f3(x1021,x1021))),
% 0.19/0.66 inference(scs_inference,[],[11,15,65,51,18,5,20])).
% 0.19/0.66 cnf(118,plain,
% 0.19/0.66 (E(f3(f3(x1181,x1182),a6),f3(f3(x1181,a6),f3(x1182,a6)))),
% 0.19/0.66 inference(scs_inference,[],[16,86,20])).
% 0.19/0.66 cnf(122,plain,
% 0.19/0.66 (P1(f3(x1221,f3(x1221,x1222)),x1222)),
% 0.19/0.66 inference(scs_inference,[],[24,16,86,20,22])).
% 0.19/0.66 cnf(157,plain,
% 0.19/0.66 (E(f3(f3(x1571,x1571),a6),f3(x1571,x1571))),
% 0.19/0.66 inference(scs_inference,[],[12,16,102,96,118,20,22,3])).
% 0.19/0.66 cnf(160,plain,
% 0.19/0.66 (~P1(f3(f3(a5,a4),f3(a5,a1)),f3(x1601,a6))),
% 0.19/0.66 inference(scs_inference,[],[10,12,16,102,96,118,62,20,22,3,7])).
% 0.19/0.66 cnf(164,plain,
% 0.19/0.66 (E(f3(f3(x1641,x1641),x1642),f3(a2,x1642))),
% 0.19/0.66 inference(scs_inference,[],[10,13,26,12,16,14,102,96,118,62,20,22,3,7,6,2,4])).
% 0.19/0.66 cnf(173,plain,
% 0.19/0.66 (P1(x1731,x1731)),
% 0.19/0.66 inference(rename_variables,[],[24])).
% 0.19/0.66 cnf(177,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[24,173,13,26,157,164,160,89,122,92,9,20,22,3,7,2,6,21]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------