TSTP Solution File: KRS013-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS013-1 : 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 : 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 05:39:00 EDT 2023
% Result : Unsatisfiable 120.56s 120.67s
% Output : CNFRefutation 120.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 02:09:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 120.56/120.65 %-------------------------------------------
% 120.56/120.65 % File :CSE---1.6
% 120.56/120.65 % Problem :theBenchmark
% 120.56/120.65 % Transform :cnf
% 120.56/120.65 % Format :tptp:raw
% 120.56/120.65 % Command :java -jar mcs_scs.jar %d %s
% 120.56/120.65
% 120.56/120.65 % Result :Theorem 120.000000s
% 120.56/120.65 % Output :CNFRefutation 120.000000s
% 120.56/120.65 %-------------------------------------------
% 120.56/120.66 %--------------------------------------------------------------------------
% 120.56/120.66 % File : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 120.56/120.66 % Domain : Knowledge Representation
% 120.56/120.66 % Problem : Paramasivam problem T-Box 4b
% 120.56/120.66 % Version : Especial.
% 120.56/120.66 % English : f subsumes e.
% 120.56/120.66
% 120.56/120.66 % Refs : [PP95] Paramasivam & Plaisted (1995), Automated Deduction Tec
% 120.56/120.66 % Source : [PP95]
% 120.56/120.66 % Names : Problem 4(b) [PP95]
% 120.56/120.66
% 120.56/120.66 % Status : Unsatisfiable
% 120.56/120.66 % Rating : 0.14 v8.1.0, 0.00 v2.1.0
% 120.56/120.66 % Syntax : Number of clauses : 33 ( 2 unt; 12 nHn; 26 RR)
% 120.56/120.66 % Number of literals : 82 ( 0 equ; 38 neg)
% 120.56/120.66 % Maximal clause size : 4 ( 2 avg)
% 120.56/120.66 % Maximal term depth : 2 ( 1 avg)
% 120.56/120.66 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 120.56/120.66 % Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% 120.56/120.66 % Number of variables : 42 ( 0 sgn)
% 120.56/120.66 % SPC : CNF_UNS_RFO_NEQ_NHN
% 120.56/120.66
% 120.56/120.66 % Comments :
% 120.56/120.66 %--------------------------------------------------------------------------
% 120.56/120.66 cnf(clause_1,negated_conjecture,
% 120.56/120.66 e(exist) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_2,negated_conjecture,
% 120.56/120.66 ~ f(exist) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_3,axiom,
% 120.56/120.66 ( t2least(X1)
% 120.56/120.66 | ~ c(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_4,axiom,
% 120.56/120.66 ( c(X1)
% 120.56/120.66 | ~ t2least(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_5,axiom,
% 120.56/120.66 ( ~ t2least(X1)
% 120.56/120.66 | ~ equalish(u1r2(X1),u1r1(X1)) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_6,axiom,
% 120.56/120.66 ( t(X1,u1r1(X1))
% 120.56/120.66 | ~ t2least(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_7,axiom,
% 120.56/120.66 ( t(X1,u1r2(X1))
% 120.56/120.66 | ~ t2least(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_8,axiom,
% 120.56/120.66 ( t2least(X1)
% 120.56/120.66 | equalish(X3,X2)
% 120.56/120.66 | ~ t(X1,X3)
% 120.56/120.66 | ~ t(X1,X2) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_9,axiom,
% 120.56/120.66 ( t1most(X1)
% 120.56/120.66 | ~ d(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_10,axiom,
% 120.56/120.66 ( d(X1)
% 120.56/120.66 | ~ t1most(X1) ) ).
% 120.56/120.66
% 120.56/120.66 cnf(clause_11,axiom,
% 120.56/120.66 ( equalish(X3,X2)
% 120.56/120.67 | ~ t1most(X1)
% 120.56/120.67 | ~ t(X1,X3)
% 120.56/120.67 | ~ t(X1,X2) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_12,axiom,
% 120.56/120.67 ( t1most(X1)
% 120.56/120.67 | ~ equalish(u3r2(X1),u3r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_13,axiom,
% 120.56/120.67 ( t1most(X1)
% 120.56/120.67 | t(X1,u3r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_14,axiom,
% 120.56/120.67 ( t1most(X1)
% 120.56/120.67 | t(X1,u3r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_15,axiom,
% 120.56/120.67 ( d(X3)
% 120.56/120.67 | ~ e(X1)
% 120.56/120.67 | ~ r(X1,X3) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_16,axiom,
% 120.56/120.67 ( c(X2)
% 120.56/120.67 | ~ e(X1)
% 120.56/120.67 | ~ r(X1,X2)
% 120.56/120.67 | ~ s2least(X2) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_17,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | ~ c(u4r1(X1))
% 120.56/120.67 | ~ d(u4r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_18,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | r(X1,u4r2(X1))
% 120.56/120.67 | ~ c(u4r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_19,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | s2least(u4r1(X1))
% 120.56/120.67 | ~ d(u4r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_20,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | s2least(u4r1(X1))
% 120.56/120.67 | r(X1,u4r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_21,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | r(X1,u4r1(X1))
% 120.56/120.67 | ~ d(u4r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_22,axiom,
% 120.56/120.67 ( e(X1)
% 120.56/120.67 | r(X1,u4r1(X1))
% 120.56/120.67 | r(X1,u4r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_23,axiom,
% 120.56/120.67 ( ~ s2least(X1)
% 120.56/120.67 | ~ equalish(u5r2(X1),u5r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_24,axiom,
% 120.56/120.67 ( s(X1,u5r1(X1))
% 120.56/120.67 | ~ s2least(X1) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_25,axiom,
% 120.56/120.67 ( s(X1,u5r2(X1))
% 120.56/120.67 | ~ s2least(X1) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_26,axiom,
% 120.56/120.67 ( s2least(X1)
% 120.56/120.67 | equalish(X3,X2)
% 120.56/120.67 | ~ s(X1,X3)
% 120.56/120.67 | ~ s(X1,X2) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_27,axiom,
% 120.56/120.67 ( s1most(X2)
% 120.56/120.67 | ~ f(X1)
% 120.56/120.67 | ~ r(X1,X2) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_28,axiom,
% 120.56/120.67 ( f(X1)
% 120.56/120.67 | ~ s1most(u6r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_29,axiom,
% 120.56/120.67 ( f(X1)
% 120.56/120.67 | r(X1,u6r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_30,axiom,
% 120.56/120.67 ( equalish(X3,X2)
% 120.56/120.67 | ~ s1most(X1)
% 120.56/120.67 | ~ s(X1,X3)
% 120.56/120.67 | ~ s(X1,X2) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_31,axiom,
% 120.56/120.67 ( s1most(X1)
% 120.56/120.67 | ~ equalish(u7r2(X1),u7r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_32,axiom,
% 120.56/120.67 ( s1most(X1)
% 120.56/120.67 | s(X1,u7r1(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 cnf(clause_33,axiom,
% 120.56/120.67 ( s1most(X1)
% 120.56/120.67 | s(X1,u7r2(X1)) ) ).
% 120.56/120.67
% 120.56/120.67 %--------------------------------------------------------------------------
% 120.56/120.67 %-------------------------------------------
% 120.56/120.67 % Proof found
% 120.56/120.67 % SZS status Theorem for theBenchmark
% 120.56/120.67 % SZS output start Proof
% 120.56/120.67 %ClaNum:33(EqnAxiom:0)
% 120.56/120.67 %VarNum:113(SingletonVarNum:42)
% 120.56/120.67 %MaxLitNum:4
% 120.56/120.67 %MaxfuncDepth:1
% 120.56/120.67 %SharedTerms:3
% 120.56/120.67 %goalClause: 1 2
% 120.56/120.67 %singleGoalClaCount:2
% 120.56/120.67 [1]P1(a1)
% 120.56/120.67 [2]~P4(a1)
% 120.56/120.67 [3]~P2(x31)+P6(x31)
% 120.56/120.67 [4]~P6(x41)+P2(x41)
% 120.56/120.67 [5]~P3(x51)+P7(x51)
% 120.56/120.67 [6]~P7(x61)+P3(x61)
% 120.56/120.67 [7]P4(x71)+~P8(f2(x71))
% 120.56/120.67 [8]P4(x81)+P9(x81,f2(x81))
% 120.56/120.67 [9]P7(x91)+P11(x91,f3(x91))
% 120.56/120.67 [10]P7(x101)+P11(x101,f4(x101))
% 120.56/120.67 [11]P8(x111)+P10(x111,f11(x111))
% 120.56/120.67 [12]P8(x121)+P10(x121,f12(x121))
% 120.56/120.67 [13]~P6(x131)+P11(x131,f5(x131))
% 120.56/120.67 [14]~P6(x141)+P11(x141,f6(x141))
% 120.56/120.67 [15]~P12(x151)+P10(x151,f7(x151))
% 120.56/120.67 [16]~P12(x161)+P10(x161,f8(x161))
% 120.56/120.67 [26]P7(x261)+~P5(f3(x261),f4(x261))
% 120.56/120.67 [27]P8(x271)+~P5(f11(x271),f12(x271))
% 120.56/120.67 [28]~P6(x281)+~P5(f5(x281),f6(x281))
% 120.56/120.67 [29]~P12(x291)+~P5(f7(x291),f8(x291))
% 120.56/120.67 [17]P1(x171)+P12(f9(x171))+~P3(f10(x171))
% 120.56/120.67 [20]P1(x201)+P9(x201,f10(x201))+P12(f9(x201))
% 120.56/120.67 [21]P1(x211)+~P2(f9(x211))+~P3(f10(x211))
% 120.56/120.67 [23]P1(x231)+P9(x231,f9(x231))+~P3(f10(x231))
% 120.56/120.67 [24]P1(x241)+P9(x241,f10(x241))+~P2(f9(x241))
% 120.56/120.67 [25]P1(x251)+P9(x251,f9(x251))+P9(x251,f10(x251))
% 120.56/120.67 [18]~P9(x182,x181)+P3(x181)+~P1(x182)
% 120.56/120.67 [19]~P9(x192,x191)+P8(x191)+~P4(x192)
% 120.56/120.67 [22]~P12(x221)+~P9(x222,x221)+P2(x221)+~P1(x222)
% 120.56/120.67 [30]~P11(x301,x303)+~P11(x301,x302)+P6(x301)+P5(x302,x303)
% 120.56/120.67 [31]~P10(x311,x313)+~P10(x311,x312)+P12(x311)+P5(x312,x313)
% 120.56/120.67 [32]~P11(x323,x322)+~P11(x323,x321)+P5(x321,x322)+~P7(x323)
% 120.56/120.67 [33]~P10(x333,x332)+~P10(x333,x331)+P5(x331,x332)+~P8(x333)
% 120.56/120.67 %EqnAxiom
% 120.56/120.67
% 120.56/120.67 %-------------------------------------------
% 120.67/120.72 cnf(34,plain,
% 120.67/120.72 (P9(a1,f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[2,8])).
% 120.67/120.72 cnf(35,plain,
% 120.67/120.72 (~P8(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[2,8,7])).
% 120.67/120.72 cnf(36,plain,
% 120.67/120.72 (P3(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[1,2,8,7,18])).
% 120.67/120.72 cnf(38,plain,
% 120.67/120.72 (P2(f2(a1))+~P12(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[1,2,8,7,18,22])).
% 120.67/120.72 cnf(40,plain,
% 120.67/120.72 (P7(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[36,5])).
% 120.67/120.72 cnf(42,plain,
% 120.67/120.72 (P10(f2(a1),f12(f2(a1)))),
% 120.67/120.72 inference(scs_inference,[],[35,36,5,12])).
% 120.67/120.72 cnf(44,plain,
% 120.67/120.72 (P10(f2(a1),f11(f2(a1)))),
% 120.67/120.72 inference(scs_inference,[],[35,36,5,12,11])).
% 120.67/120.72 cnf(48,plain,
% 120.67/120.72 (P5(x481,x482)+~P11(f2(a1),x482)+~P11(f2(a1),x481)),
% 120.67/120.72 inference(scs_inference,[],[40,32])).
% 120.67/120.72 cnf(52,plain,
% 120.67/120.72 (~P2(x521)+P11(x521,f5(x521))),
% 120.67/120.72 inference(scs_inference,[],[13,3])).
% 120.67/120.72 cnf(53,plain,
% 120.67/120.72 (~P2(x531)+P11(x531,f6(x531))),
% 120.67/120.72 inference(scs_inference,[],[14,3])).
% 120.67/120.72 cnf(56,plain,
% 120.67/120.72 (P11(f2(a1),f5(f2(a1)))+~P12(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[38,52])).
% 120.67/120.72 cnf(61,plain,
% 120.67/120.72 (~P5(f11(f2(a1)),f12(f2(a1)))),
% 120.67/120.72 inference(scs_inference,[],[2,27,7])).
% 120.67/120.72 cnf(62,plain,
% 120.67/120.72 (~P2(x621)+~P5(f5(x621),f6(x621))),
% 120.67/120.72 inference(scs_inference,[],[28,3])).
% 120.67/120.72 cnf(65,plain,
% 120.67/120.72 (~P2(x651)+~P11(f2(a1),f5(x651))+~P11(f2(a1),f6(x651))),
% 120.67/120.72 inference(scs_inference,[],[62,48])).
% 120.67/120.72 cnf(78,plain,
% 120.67/120.72 (~P6(x781)+~P11(f2(a1),f6(x781))+~P11(f2(a1),f5(x781))),
% 120.67/120.72 inference(scs_inference,[],[65,4])).
% 120.67/120.72 cnf(83,plain,
% 120.67/120.72 (P6(f2(a1))+~P12(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[3,38])).
% 120.67/120.72 cnf(22906,plain,
% 120.67/120.72 (~P11(f2(a1),f6(f2(a1)))),
% 120.67/120.72 inference(scs_inference,[],[42,44,61,31,56,83,48,78])).
% 120.67/120.72 cnf(22908,plain,
% 120.67/120.72 (P2(f2(a1))),
% 120.67/120.72 inference(scs_inference,[],[1,34,42,44,61,31,56,83,48,78,22])).
% 120.67/120.72 cnf(61175,plain,
% 120.67/120.72 ($false),
% 120.67/120.72 inference(scs_inference,[],[22908,22906,53]),
% 120.67/120.72 ['proof']).
% 120.67/120.78 % SZS output end Proof
% 120.67/120.78 % Total time :120.000000s
%------------------------------------------------------------------------------