TSTP Solution File: CAT016-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT016-4 : 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 : n012.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 : Wed Aug 30 18:13:47 EDT 2023
% Result : Unsatisfiable 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT016-4 : 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 : n012.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 : Sun Aug 27 00:47:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % File :CSE---1.6
% 0.21/0.61 % Problem :theBenchmark
% 0.21/0.61 % Transform :cnf
% 0.21/0.61 % Format :tptp:raw
% 0.21/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.61
% 0.21/0.61 % Result :Theorem 0.000000s
% 0.21/0.61 % Output :CNFRefutation 0.000000s
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 % File : CAT016-4 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.61 % Domain : Category Theory
% 0.21/0.61 % Problem : If x exists, then domain(x) exists
% 0.21/0.61 % Version : [Sco79] axioms : Reduced > Complete.
% 0.21/0.61 % English :
% 0.21/0.61
% 0.21/0.61 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.21/0.61 % Source : [TPTP]
% 0.21/0.61 % Names :
% 0.21/0.61
% 0.21/0.61 % Status : Unsatisfiable
% 0.21/0.61 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v2.0.0
% 0.21/0.61 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.21/0.61 % Number of literals : 23 ( 7 equ; 11 neg)
% 0.21/0.61 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.21/0.61 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.21/0.61 % Number of variables : 19 ( 2 sgn)
% 0.21/0.61 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.61
% 0.21/0.61 % Comments : The dependent axioms have been removed.
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 %----Include Scott's axioms for category theory
% 0.21/0.61 include('Axioms/CAT004-0.ax').
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 cnf(assume_a_exists,hypothesis,
% 0.21/0.61 there_exists(a) ).
% 0.21/0.61
% 0.21/0.61 cnf(prove_domain_of_a_exists,negated_conjecture,
% 0.21/0.61 ~ there_exists(domain(a)) ).
% 0.21/0.61
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark
% 0.21/0.61 % SZS output start Proof
% 0.21/0.61 %ClaNum:23(EqnAxiom:10)
% 0.21/0.61 %VarNum:40(SingletonVarNum:19)
% 0.21/0.61 %MaxLitNum:3
% 0.21/0.61 %MaxfuncDepth:2
% 0.21/0.61 %SharedTerms:4
% 0.21/0.61 %goalClause: 15
% 0.21/0.61 %singleGoalClaCount:1
% 0.21/0.61 [11]P1(a1)
% 0.21/0.61 [15]~P1(f2(a1))
% 0.21/0.61 [12]E(f3(x121,f2(x121)),x121)
% 0.21/0.61 [13]E(f3(f4(x131),x131),x131)
% 0.21/0.61 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 0.21/0.61 [16]P1(x161)+~P1(f2(x161))
% 0.21/0.61 [17]P1(x171)+~P1(f4(x171))
% 0.21/0.61 [18]~P2(x181,x182)+E(x181,x182)
% 0.21/0.61 [20]P1(x201)+~P2(x201,x202)
% 0.21/0.61 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 0.21/0.61 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 0.21/0.61 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.21/0.61 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 0.21/0.61 %EqnAxiom
% 0.21/0.61 [1]E(x11,x11)
% 0.21/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.61 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.21/0.61 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.21/0.61 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.21/0.61 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.21/0.61 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/0.61 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.21/0.61 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.21/0.61
% 0.21/0.61 %-------------------------------------------
% 0.21/0.62 cnf(24,plain,
% 0.21/0.62 (E(x241,f3(x241,f2(x241)))),
% 0.21/0.62 inference(scs_inference,[],[12,2])).
% 0.21/0.62 cnf(25,plain,
% 0.21/0.62 (~P2(f2(a1),x251)),
% 0.21/0.62 inference(scs_inference,[],[15,12,2,20])).
% 0.21/0.62 cnf(27,plain,
% 0.21/0.62 (~P1(f3(a1,x271))),
% 0.21/0.62 inference(scs_inference,[],[15,12,2,20,22])).
% 0.21/0.62 cnf(30,plain,
% 0.21/0.62 (E(f3(x301,f2(x301)),x301)),
% 0.21/0.62 inference(rename_variables,[],[12])).
% 0.21/0.62 cnf(36,plain,
% 0.21/0.62 (E(f3(x361,f3(x362,f2(x362))),f3(x361,x362))),
% 0.21/0.62 inference(scs_inference,[],[15,12,30,2,20,22,8,17,16,7,6])).
% 0.21/0.62 cnf(38,plain,
% 0.21/0.62 (E(f2(f3(x381,f2(x381))),f2(x381))),
% 0.21/0.62 inference(scs_inference,[],[15,12,30,2,20,22,8,17,16,7,6,5,4])).
% 0.21/0.62 cnf(46,plain,
% 0.21/0.62 (~E(a1,f2(a1))),
% 0.21/0.62 inference(scs_inference,[],[15,11,14,36,3,8])).
% 0.21/0.62 cnf(47,plain,
% 0.21/0.62 (~P2(f2(f3(a1,f2(a1))),x471)),
% 0.21/0.62 inference(scs_inference,[],[15,11,14,38,36,25,3,8,9])).
% 0.21/0.62 cnf(55,plain,
% 0.21/0.62 (E(x551,f3(x551,f2(x551)))),
% 0.21/0.62 inference(rename_variables,[],[24])).
% 0.21/0.62 cnf(58,plain,
% 0.21/0.62 (E(x581,f3(x581,f2(x581)))),
% 0.21/0.62 inference(rename_variables,[],[24])).
% 0.21/0.62 cnf(61,plain,
% 0.21/0.62 ($false),
% 0.21/0.62 inference(scs_inference,[],[11,24,55,58,14,47,46,27,3,19,2,8]),
% 0.21/0.62 ['proof']).
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------