TSTP Solution File: KRS010-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS010-1 : 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 : n022.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 05:38:59 EDT 2023
% Result : Unsatisfiable 0.17s 0.71s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 01:11:24 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 0.17/0.70 %-------------------------------------------
% 0.17/0.70 % File :CSE---1.6
% 0.17/0.70 % Problem :theBenchmark
% 0.17/0.70 % Transform :cnf
% 0.17/0.70 % Format :tptp:raw
% 0.17/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.70
% 0.17/0.70 % Result :Theorem 0.090000s
% 0.17/0.70 % Output :CNFRefutation 0.090000s
% 0.17/0.70 %-------------------------------------------
% 0.17/0.70 %--------------------------------------------------------------------------
% 0.17/0.70 % File : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% 0.17/0.70 % Domain : Knowledge Representation
% 0.17/0.70 % Problem : Paramasivam problem T-Box 3d
% 0.17/0.70 % Version : Especial.
% 0.17/0.70 % English : f subsumes e.
% 0.17/0.70
% 0.17/0.70 % Refs : [PP95] Paramasivam & Plaisted (1995), Automated Deduction Tec
% 0.17/0.70 % Source : [PP95]
% 0.17/0.70 % Names : Problem 3(d) [PP95]
% 0.17/0.70
% 0.17/0.70 % Status : Unsatisfiable
% 0.17/0.70 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v2.5.0, 0.20 v2.4.0, 0.00 v2.1.0
% 0.17/0.70 % Syntax : Number of clauses : 31 ( 2 unt; 12 nHn; 31 RR)
% 0.17/0.70 % Number of literals : 95 ( 0 equ; 51 neg)
% 0.17/0.70 % Maximal clause size : 7 ( 3 avg)
% 0.17/0.70 % Maximal term depth : 2 ( 1 avg)
% 0.17/0.70 % Number of predicates : 8 ( 8 usr; 0 prp; 1-2 aty)
% 0.17/0.70 % Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% 0.17/0.70 % Number of variables : 37 ( 0 sgn)
% 0.17/0.70 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.17/0.70
% 0.17/0.70 % Comments :
% 0.17/0.70 %--------------------------------------------------------------------------
% 0.17/0.70 cnf(clause_1,negated_conjecture,
% 0.17/0.70 e(exist) ).
% 0.17/0.70
% 0.17/0.70 cnf(clause_2,negated_conjecture,
% 0.17/0.70 ~ f(exist) ).
% 0.17/0.70
% 0.17/0.70 cnf(clause_3,axiom,
% 0.17/0.70 ( c(X1)
% 0.17/0.70 | d(X1)
% 0.17/0.70 | ~ a(X1) ) ).
% 0.17/0.70
% 0.17/0.70 cnf(clause_4,axiom,
% 0.17/0.70 ( a(X1)
% 0.17/0.70 | ~ d(X1) ) ).
% 0.17/0.70
% 0.17/0.70 cnf(clause_5,axiom,
% 0.17/0.70 ( a(X1)
% 0.17/0.70 | ~ c(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_6,axiom,
% 0.17/0.71 ( equalish(X4,X3)
% 0.17/0.71 | ~ e(X1)
% 0.17/0.71 | ~ r(X1,X4)
% 0.17/0.71 | ~ r(X1,X3)
% 0.17/0.71 | ~ c(X4)
% 0.17/0.71 | ~ c(X3) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_7,axiom,
% 0.17/0.71 ( r3least(X1)
% 0.17/0.71 | ~ e(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_8,axiom,
% 0.17/0.71 ( a(X2)
% 0.17/0.71 | ~ e(X1)
% 0.17/0.71 | ~ r(X1,X2) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_9,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | ~ a(u1r1(X1))
% 0.17/0.71 | ~ r3least(X1)
% 0.17/0.71 | ~ equalish(u1r3(X1),u1r2(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_10,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | c(u1r2(X1))
% 0.17/0.71 | ~ a(u1r1(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_11,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | c(u1r3(X1))
% 0.17/0.71 | ~ a(u1r1(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_12,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r2(X1))
% 0.17/0.71 | ~ a(u1r1(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_13,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r3(X1))
% 0.17/0.71 | ~ a(u1r1(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_14,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r1(X1))
% 0.17/0.71 | ~ r3least(X1)
% 0.17/0.71 | ~ equalish(u1r3(X1),u1r2(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_15,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r1(X1))
% 0.17/0.71 | c(u1r2(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_16,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r1(X1))
% 0.17/0.71 | c(u1r3(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_17,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r1(X1))
% 0.17/0.71 | r(X1,u1r2(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_18,axiom,
% 0.17/0.71 ( e(X1)
% 0.17/0.71 | r(X1,u1r1(X1))
% 0.17/0.71 | r(X1,u1r3(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_19,axiom,
% 0.17/0.71 ( ~ r3least(X1)
% 0.17/0.71 | ~ equalish(u2r2(X1),u2r1(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_20,axiom,
% 0.17/0.71 ( ~ r3least(X1)
% 0.17/0.71 | ~ equalish(u2r3(X1),u2r1(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_21,axiom,
% 0.17/0.71 ( ~ r3least(X1)
% 0.17/0.71 | ~ equalish(u2r3(X1),u2r2(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_22,axiom,
% 0.17/0.71 ( r(X1,u2r1(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_23,axiom,
% 0.17/0.71 ( r(X1,u2r2(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_24,axiom,
% 0.17/0.71 ( r(X1,u2r3(X1))
% 0.17/0.71 | ~ r3least(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_25,axiom,
% 0.17/0.71 ( r3least(X1)
% 0.17/0.71 | equalish(X4,X3)
% 0.17/0.71 | equalish(X4,X2)
% 0.17/0.71 | equalish(X3,X2)
% 0.17/0.71 | ~ r(X1,X4)
% 0.17/0.71 | ~ r(X1,X3)
% 0.17/0.71 | ~ r(X1,X2) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_26,axiom,
% 0.17/0.71 ( d(u3r1(X1))
% 0.17/0.71 | ~ f(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_27,axiom,
% 0.17/0.71 ( d(u3r2(X1))
% 0.17/0.71 | ~ f(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_28,axiom,
% 0.17/0.71 ( ~ f(X1)
% 0.17/0.71 | ~ equalish(u3r2(X1),u3r1(X1)) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_29,axiom,
% 0.17/0.71 ( r(X1,u3r1(X1))
% 0.17/0.71 | ~ f(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_30,axiom,
% 0.17/0.71 ( r(X1,u3r2(X1))
% 0.17/0.71 | ~ f(X1) ) ).
% 0.17/0.71
% 0.17/0.71 cnf(clause_31,axiom,
% 0.17/0.71 ( f(X1)
% 0.17/0.71 | equalish(X3,X2)
% 0.17/0.71 | ~ r(X1,X3)
% 0.17/0.71 | ~ r(X1,X2)
% 0.17/0.71 | ~ d(X3)
% 0.17/0.71 | ~ d(X2) ) ).
% 0.17/0.71
% 0.17/0.71 %--------------------------------------------------------------------------
% 0.17/0.71 %-------------------------------------------
% 0.17/0.71 % Proof found
% 0.17/0.71 % SZS status Theorem for theBenchmark
% 0.17/0.71 % SZS output start Proof
% 0.17/0.71 %ClaNum:31(EqnAxiom:0)
% 0.17/0.71 %VarNum:126(SingletonVarNum:37)
% 0.17/0.71 %MaxLitNum:7
% 0.17/0.71 %MaxfuncDepth:1
% 0.17/0.71 %SharedTerms:3
% 0.17/0.71 %goalClause: 1 2
% 0.17/0.71 %singleGoalClaCount:2
% 0.17/0.71 [1]P1(a1)
% 0.17/0.71 [2]~P5(a1)
% 0.17/0.71 [3]~P3(x31)+P2(x31)
% 0.17/0.71 [4]~P4(x41)+P2(x41)
% 0.17/0.71 [5]~P1(x51)+P7(x51)
% 0.17/0.71 [7]~P5(x71)+P4(f2(x71))
% 0.17/0.71 [8]~P5(x81)+P4(f9(x81))
% 0.17/0.71 [9]~P7(x91)+P8(x91,f3(x91))
% 0.17/0.71 [10]~P7(x101)+P8(x101,f4(x101))
% 0.17/0.71 [11]~P7(x111)+P8(x111,f8(x111))
% 0.17/0.71 [12]~P5(x121)+P8(x121,f2(x121))
% 0.17/0.71 [13]~P5(x131)+P8(x131,f9(x131))
% 0.17/0.71 [21]~P5(x211)+~P6(f9(x211),f2(x211))
% 0.17/0.71 [22]~P7(x221)+~P6(f3(x221),f4(x221))
% 0.17/0.71 [23]~P7(x231)+~P6(f8(x231),f3(x231))
% 0.17/0.71 [24]~P7(x241)+~P6(f8(x241),f4(x241))
% 0.17/0.71 [6]P4(x61)+~P2(x61)+P3(x61)
% 0.17/0.71 [14]~P8(x142,x141)+P2(x141)+~P1(x142)
% 0.17/0.71 [15]~P7(x151)+P1(x151)+P3(f5(x151))+~P2(f6(x151))
% 0.17/0.71 [16]~P7(x161)+P1(x161)+P3(f7(x161))+~P2(f6(x161))
% 0.17/0.71 [17]~P7(x171)+P1(x171)+P8(x171,f6(x171))+P3(f5(x171))
% 0.17/0.71 [18]~P7(x181)+P1(x181)+P8(x181,f6(x181))+P3(f7(x181))
% 0.17/0.71 [19]~P7(x191)+P1(x191)+P8(x191,f5(x191))+~P2(f6(x191))
% 0.17/0.71 [20]~P7(x201)+P1(x201)+P8(x201,f7(x201))+~P2(f6(x201))
% 0.17/0.71 [25]~P7(x251)+P1(x251)+P8(x251,f6(x251))+P8(x251,f5(x251))
% 0.17/0.71 [26]~P7(x261)+P1(x261)+P8(x261,f6(x261))+P8(x261,f7(x261))
% 0.17/0.71 [27]~P7(x271)+P1(x271)+~P6(f5(x271),f7(x271))+~P2(f6(x271))
% 0.17/0.71 [28]~P7(x281)+P1(x281)+P8(x281,f6(x281))+~P6(f5(x281),f7(x281))
% 0.17/0.71 [29]~P4(x293)+~P4(x292)+~P8(x291,x293)+~P8(x291,x292)+P5(x291)+P6(x292,x293)
% 0.17/0.71 [30]~P3(x302)+~P3(x301)+~P8(x303,x302)+~P8(x303,x301)+P6(x301,x302)+~P1(x303)
% 0.17/0.71 [31]P6(x314,x312)+~P8(x311,x313)+~P8(x311,x312)+~P8(x311,x314)+P7(x311)+P6(x312,x313)+P6(x314,x313)
% 0.17/0.71 %EqnAxiom
% 0.17/0.71
% 0.17/0.71 %-------------------------------------------
% 0.17/0.71 cnf(33,plain,
% 0.17/0.71 (P8(a1,f8(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11])).
% 0.17/0.71 cnf(34,plain,
% 0.17/0.71 (P8(a1,f4(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10])).
% 0.17/0.71 cnf(36,plain,
% 0.17/0.71 (P8(a1,f3(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10,9])).
% 0.17/0.71 cnf(38,plain,
% 0.17/0.71 (~P6(f8(a1),f4(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10,9,24])).
% 0.17/0.71 cnf(40,plain,
% 0.17/0.71 (~P6(f8(a1),f3(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10,9,24,23])).
% 0.17/0.71 cnf(42,plain,
% 0.17/0.71 (~P6(f3(a1),f4(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10,9,24,23,22])).
% 0.17/0.71 cnf(44,plain,
% 0.17/0.71 (P2(f8(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,5,11,10,9,24,23,22,14])).
% 0.17/0.71 cnf(48,plain,
% 0.17/0.71 (~P4(f4(a1))+~P4(f8(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,2,5,11,10,9,24,23,22,14,30,29])).
% 0.17/0.71 cnf(50,plain,
% 0.17/0.71 (P2(f4(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,34,14])).
% 0.17/0.71 cnf(56,plain,
% 0.17/0.71 (P3(f8(a1))+~P4(f4(a1))),
% 0.17/0.71 inference(scs_inference,[],[1,2,44,33,34,14,6,29,48])).
% 0.17/0.72 cnf(61,plain,
% 0.17/0.72 (P3(f4(a1))+~P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[2,50,36,42,34,29,6])).
% 0.17/0.72 cnf(67,plain,
% 0.17/0.72 (P2(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[36,1,14])).
% 0.17/0.72 cnf(71,plain,
% 0.17/0.72 (P3(f3(a1))+P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[67,6])).
% 0.17/0.72 cnf(75,plain,
% 0.17/0.72 (~P3(f3(a1))+~P3(f8(a1))),
% 0.17/0.72 inference(scs_inference,[],[40,33,36,1,30])).
% 0.17/0.72 cnf(77,plain,
% 0.17/0.72 (P3(f4(a1))+P3(f8(a1))),
% 0.17/0.72 inference(scs_inference,[],[50,56,6])).
% 0.17/0.72 cnf(78,plain,
% 0.17/0.72 (~P4(f3(a1))+~P4(f8(a1))),
% 0.17/0.72 inference(scs_inference,[],[40,33,2,36,29])).
% 0.17/0.72 cnf(84,plain,
% 0.17/0.72 (~P3(f4(a1))+~P3(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[42,36,34,1,30])).
% 0.17/0.72 cnf(89,plain,
% 0.17/0.72 (~P3(f8(a1))+~P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[33,1,34,38,61,30])).
% 0.17/0.72 cnf(100,plain,
% 0.17/0.72 (~P3(f8(a1))+P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[75,71])).
% 0.17/0.72 cnf(104,plain,
% 0.17/0.72 (P3(f8(a1))+~P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[44,78,6])).
% 0.17/0.72 cnf(112,plain,
% 0.17/0.72 (~P4(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[89,104])).
% 0.17/0.72 cnf(113,plain,
% 0.17/0.72 (P3(f3(a1))),
% 0.17/0.72 inference(scs_inference,[],[112,71])).
% 0.17/0.72 cnf(114,plain,
% 0.17/0.72 (~P3(f8(a1))),
% 0.17/0.72 inference(scs_inference,[],[112,100])).
% 0.17/0.72 cnf(118,plain,
% 0.17/0.72 (P3(f4(a1))),
% 0.17/0.72 inference(scs_inference,[],[114,77])).
% 0.17/0.72 cnf(119,plain,
% 0.17/0.72 (~P3(f4(a1))),
% 0.17/0.72 inference(scs_inference,[],[113,84])).
% 0.17/0.72 cnf(123,plain,
% 0.17/0.72 ($false),
% 0.17/0.72 inference(scs_inference,[],[118,119]),
% 0.17/0.72 ['proof']).
% 0.17/0.72 % SZS output end Proof
% 0.17/0.72 % Total time :0.090000s
%------------------------------------------------------------------------------