TSTP Solution File: SET014-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 31 14:27:50 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.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 : Sat Aug 26 16:30:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 % File : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.61 % Domain : Set Theory
% 0.20/0.61 % Problem : Union of subsets is a subset
% 0.20/0.61 % Version : [MOW76] axioms : Especial.
% 0.20/0.61 % English : If A and B are contained in C then the union of A and B is also.
% 0.20/0.61
% 0.20/0.61 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.61 % : [WB87] Wang & Bledsoe (1987), Hierarchical Deduction
% 0.20/0.62 % Source : [ANL]
% 0.20/0.62 % Names : S4 [MOW76]
% 0.20/0.62 % : subset.ver1.in [ANL]
% 0.20/0.62 % : EST-S4 [WB87]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.14 v7.5.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.20/0.62 % Syntax : Number of clauses : 24 ( 6 unt; 3 nHn; 18 RR)
% 0.20/0.62 % Number of literals : 48 ( 0 equ; 24 neg)
% 0.20/0.62 % Maximal clause size : 3 ( 2 avg)
% 0.20/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.62 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.62 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 48 ( 5 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 % Bugfixes : v2.1.0 - Bugfix in SET002-0.eq
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 %----Include set axioms
% 0.20/0.62 include('Axioms/SET002-0.ax').
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 cnf(a_subset_of_c,hypothesis,
% 0.20/0.62 subset(as,cs) ).
% 0.20/0.62
% 0.20/0.62 cnf(b_subset_of_c,hypothesis,
% 0.20/0.62 subset(bs,cs) ).
% 0.20/0.62
% 0.20/0.62 cnf(prove_a_union_b_subset_of_c,negated_conjecture,
% 0.20/0.62 ~ subset(union(as,bs),cs) ).
% 0.20/0.62
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:24(EqnAxiom:0)
% 0.20/0.62 %VarNum:97(SingletonVarNum:48)
% 0.20/0.62 %MaxLitNum:3
% 0.20/0.62 %MaxfuncDepth:1
% 0.20/0.62 %SharedTerms:8
% 0.20/0.62 %goalClause: 6
% 0.20/0.62 %singleGoalClaCount:1
% 0.20/0.62 [1]P1(a1,a2)
% 0.20/0.62 [2]P1(a3,a2)
% 0.20/0.62 [6]~P1(f6(a1,a3),a2)
% 0.20/0.62 [3]P2(x31,x31)
% 0.20/0.62 [4]P3(x41,x41)
% 0.20/0.62 [5]~P4(x51,a5)
% 0.20/0.62 [8]~P2(x82,x81)+P1(x81,x82)
% 0.20/0.62 [9]~P2(x91,x92)+P1(x91,x92)
% 0.20/0.62 [10]~P2(x102,x101)+P2(x101,x102)
% 0.20/0.62 [11]~P3(x112,x111)+P3(x111,x112)
% 0.20/0.62 [7]P4(x71,x72)+P4(x71,f4(x72))
% 0.20/0.62 [12]P1(x121,x122)+P4(f7(x121,x122),x121)
% 0.20/0.62 [13]~P4(x131,x132)+~P4(x131,f4(x132))
% 0.20/0.62 [22]P1(x221,x222)+~P4(f7(x221,x222),x222)
% 0.20/0.62 [18]~P4(x181,x183)+P4(x181,f6(x182,x183))
% 0.20/0.62 [19]~P4(x191,x192)+P4(x191,f6(x192,x193))
% 0.20/0.62 [20]P4(x201,x202)+~P4(x201,f8(x203,x202))
% 0.20/0.62 [21]P4(x211,x212)+~P4(x211,f8(x212,x213))
% 0.20/0.62 [15]~P1(x151,x152)+~P1(x152,x151)+P2(x151,x152)
% 0.20/0.62 [14]~P1(x143,x142)+P4(x141,x142)+~P4(x141,x143)
% 0.20/0.62 [16]~P2(x161,x163)+P2(x161,x162)+~P2(x163,x162)
% 0.20/0.62 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 0.20/0.62 [23]~P4(x231,x233)+~P4(x231,x232)+P4(x231,f8(x232,x233))
% 0.20/0.62 [24]P4(x241,x242)+P4(x241,x243)+~P4(x241,f6(x243,x242))
% 0.20/0.62 %EqnAxiom
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(28,plain,
% 0.20/0.62 (~P4(x281,a5)),
% 0.20/0.62 inference(rename_variables,[],[5])).
% 0.20/0.62 cnf(30,plain,
% 0.20/0.62 (~P4(x301,f8(a5,x302))),
% 0.20/0.62 inference(scs_inference,[],[6,5,28,9,8,12,21])).
% 0.20/0.62 cnf(34,plain,
% 0.20/0.62 (P4(x341,f4(a5))),
% 0.20/0.62 inference(scs_inference,[],[6,5,28,9,8,12,21,20,7])).
% 0.20/0.62 cnf(36,plain,
% 0.20/0.62 (~P4(f7(f6(a1,a3),a2),a2)),
% 0.20/0.62 inference(scs_inference,[],[6,5,28,9,8,12,21,20,7,22])).
% 0.20/0.62 cnf(38,plain,
% 0.20/0.62 (~P4(f7(f6(a1,a3),a2),a1)),
% 0.20/0.62 inference(scs_inference,[],[6,5,28,1,9,8,12,21,20,7,22,14])).
% 0.20/0.62 cnf(42,plain,
% 0.20/0.62 (P4(x421,f8(f4(a5),f4(a5)))),
% 0.20/0.62 inference(scs_inference,[],[6,5,28,1,9,8,12,21,20,7,22,14,24,23])).
% 0.20/0.62 cnf(60,plain,
% 0.20/0.62 (~P1(f8(f4(a5),f4(a5)),a5)),
% 0.20/0.62 inference(scs_inference,[],[6,3,5,42,34,19,18,13,12,9,22,14])).
% 0.20/0.62 cnf(63,plain,
% 0.20/0.62 (P4(f7(f6(a1,a3),a2),a3)),
% 0.20/0.62 inference(scs_inference,[],[6,3,5,42,34,38,19,18,13,12,9,22,14,24])).
% 0.20/0.62 cnf(72,plain,
% 0.20/0.62 (~P4(x721,f8(a5,x722))),
% 0.20/0.62 inference(rename_variables,[],[30])).
% 0.20/0.62 cnf(79,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[2,5,30,72,63,60,36,12,9,24,14]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------