%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN007-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Mon Jun 24 07:26:49 EDT 2024
% Result : Unsatisfiable 5.44s 5.51s
% Output : CNFRefutation 5.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN007-4 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Jun 22 05:22:23 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 5.44/5.51 %-------------------------------------------
% 5.44/5.51 % File :CSE---1.7
% 5.44/5.51 % Problem :theBenchmark
% 5.44/5.51 % Transform :cnf
% 5.44/5.51 % Format :tptp:raw
% 5.44/5.51 % Command :java -jar mcs_scs.jar %d %s
% 5.44/5.51
% 5.44/5.51 % Result :Theorem 4.920000s
% 5.44/5.51 % Output :CNFRefutation 4.920000s
% 5.44/5.51 %-------------------------------------------
% 5.44/5.51 %--------------------------------------------------------------------------
% 5.44/5.51 % File : HEN007-4 : TPTP v8.2.0. Released v1.0.0.
% 5.44/5.51 % Domain : Henkin Models
% 5.44/5.51 % Problem : X <= Y => Z/Y <= Z/X
% 5.44/5.51 % Version : [MOW76] axioms : Augmented.
% 5.44/5.51 % English :
% 5.44/5.51
% 5.44/5.51 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 5.44/5.51 % Source : [ANL]
% 5.44/5.51 % Names : hp7.ver2.in [ANL]
% 5.44/5.51
% 5.44/5.51 % Status : Unsatisfiable
% 5.44/5.51 % 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
% 5.44/5.51 % Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 8 RR)
% 5.44/5.51 % Number of literals : 22 ( 7 equ; 8 neg)
% 5.44/5.51 % Maximal clause size : 3 ( 1 avg)
% 5.44/5.51 % Maximal term depth : 3 ( 1 avg)
% 5.44/5.51 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 5.44/5.51 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 5.44/5.51 % Number of variables : 22 ( 5 sgn)
% 5.44/5.51 % SPC : CNF_UNS_RFO_SEQ_HRN
% 5.44/5.51
% 5.44/5.51 % Comments :
% 5.44/5.51 %--------------------------------------------------------------------------
% 5.44/5.51 %----Include Henkin model axioms for equality formulation
% 5.44/5.51 include('Axioms/HEN002-0.ax').
% 5.44/5.51 %--------------------------------------------------------------------------
% 5.44/5.51 cnf(everything_divide_id_is_zero,axiom,
% 5.44/5.51 divide(X,identity) = zero ).
% 5.44/5.51
% 5.44/5.51 cnf(zero_divide_anything_is_zero,axiom,
% 5.44/5.51 divide(zero,X) = zero ).
% 5.44/5.51
% 5.44/5.51 cnf(x_divide_x_is_zero,axiom,
% 5.44/5.51 divide(X,X) = zero ).
% 5.44/5.51
% 5.44/5.51 cnf(x_divide_zero_is_x,axiom,
% 5.44/5.51 divide(a,zero) = a ).
% 5.44/5.51
% 5.44/5.51 cnf(transitivity_of_less_equal,axiom,
% 5.44/5.51 ( ~ less_equal(X,Y)
% 5.44/5.51 | ~ less_equal(Y,Z)
% 5.44/5.51 | less_equal(X,Z) ) ).
% 5.44/5.51
% 5.44/5.51 cnf(property_of_divide1,axiom,
% 5.44/5.51 ( ~ less_equal(divide(X,Y),Z)
% 5.44/5.51 | less_equal(divide(X,Z),Y) ) ).
% 5.44/5.51
% 5.44/5.51 cnf(a_LE_b,hypothesis,
% 5.44/5.51 less_equal(a,b) ).
% 5.44/5.51
% 5.44/5.51 cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
% 5.44/5.51 ~ less_equal(divide(c,b),divide(c,a)) ).
% 5.44/5.51
% 5.44/5.51 %--------------------------------------------------------------------------
% 5.44/5.51 %-------------------------------------------
% 5.44/5.51 % Proof found
% 5.44/5.51 % SZS status Theorem for theBenchmark
% 5.44/5.51 % SZS output start Proof
% 5.44/5.51 %ClaNum:22(EqnAxiom:7)
% 5.44/5.51 %VarNum:42(SingletonVarNum:22)
% 5.44/5.51 %MaxLitNum:3
% 5.44/5.51 %MaxfuncDepth:2
% 5.44/5.51 %SharedTerms:11
% 5.44/5.51 %goalClause: 17
% 5.44/5.51 %singleGoalClaCount:1
% 5.44/5.51 [9]P1(a1,a4)
% 5.44/5.51 [8]E(f3(a1,a2),a1)
% 5.44/5.51 [17]~P1(f3(a5,a4),f3(a5,a1))
% 5.44/5.51 [12]P1(x121,a6)
% 5.44/5.51 [13]P1(a2,x131)
% 5.44/5.51 [10]E(f3(x101,a6),a2)
% 5.44/5.51 [11]E(f3(a2,x111),a2)
% 5.44/5.51 [14]E(f3(x141,x141),a2)
% 5.44/5.51 [15]P1(f3(x151,x152),x151)
% 5.44/5.51 [16]P1(f3(f3(x161,x162),f3(x163,x162)),f3(f3(x161,x163),x162))
% 5.44/5.51 [18]~P1(x181,x182)+E(f3(x181,x182),a2)
% 5.44/5.51 [19]P1(x191,x192)+~E(f3(x191,x192),a2)
% 5.44/5.51 [22]~P1(f3(x221,x223),x222)+P1(f3(x221,x222),x223)
% 5.44/5.51 [20]~P1(x202,x201)+~P1(x201,x202)+E(x201,x202)
% 5.44/5.52 [21]~P1(x211,x213)+P1(x211,x212)+~P1(x213,x212)
% 5.44/5.52 %EqnAxiom
% 5.44/5.52 [1]E(x11,x11)
% 5.44/5.52 [2]E(x22,x21)+~E(x21,x22)
% 5.44/5.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.44/5.52 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 5.44/5.52 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 5.44/5.52 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 5.44/5.52 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 5.44/5.52
% 5.44/5.52 %-------------------------------------------
% 5.44/5.52 cnf(23,plain,
% 5.44/5.52 (P1(x231,x231)),
% 5.44/5.52 inference(scs_inference,[],[14,19])).
% 5.44/5.52 cnf(25,plain,
% 5.44/5.52 (~P1(f3(a5,f3(a5,a1)),a4)),
% 5.44/5.52 inference(scs_inference,[],[17,14,19,22])).
% 5.44/5.52 cnf(120,plain,
% 5.44/5.52 (E(f3(f3(x1201,f3(x1201,x1202)),x1202),a2)),
% 5.44/5.52 inference(scs_inference,[],[23,18,22])).
% 5.44/5.52 cnf(121,plain,
% 5.44/5.52 (P1(f3(x1211,f3(x1211,x1212)),x1212)),
% 5.44/5.52 inference(scs_inference,[],[120,19])).
% 5.44/5.52 cnf(796,plain,
% 5.44/5.52 ($false),
% 5.44/5.52 inference(scs_inference,[],[121,25,9,21]),
% 5.44/5.52 ['proof']).
% 5.44/5.52 % SZS output end Proof
% 5.44/5.52 % Total time :4.920000s
%------------------------------------------------------------------------------