TSTP Solution File: COL058-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 18:21:30 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n008.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 05:00:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.020000s
% 0.19/0.63 % Output :CNFRefutation 0.020000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 % File : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.64 % Domain : Combinatory Logic
% 0.19/0.64 % Problem : If there's a lark, then there's an egocentric bird.
% 0.19/0.64 % Version : Especial.
% 0.19/0.64 % English : Suppose we are given a forest that conrtains a lark, and
% 0.19/0.64 % we are not given any other information. Prove that at least
% 0.19/0.64 % one bird in the forest must be egocentric.
% 0.19/0.64
% 0.19/0.64 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% 0.19/0.64 % : [GO86] Glickfield & Overbeek (1986), A Foray into Combinatory
% 0.19/0.64 % Source : [GO86]
% 0.19/0.64 % Names : - [GO86]
% 0.19/0.64
% 0.19/0.64 % Status : Unsatisfiable
% 0.19/0.64 % Rating : 0.08 v8.1.0, 0.15 v7.5.0, 0.12 v7.4.0, 0.17 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.0.0
% 0.19/0.64 % Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR)
% 0.19/0.64 % Number of literals : 2 ( 2 equ; 1 neg)
% 0.19/0.64 % Maximal clause size : 1 ( 1 avg)
% 0.19/0.64 % Maximal term depth : 3 ( 2 avg)
% 0.19/0.64 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.19/0.64 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.19/0.64 % Number of variables : 3 ( 0 sgn)
% 0.19/0.64 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %---- There exists a lark
% 0.19/0.64 cnf(lark_exists,axiom,
% 0.19/0.64 response(response(lark,X1),X2) = response(X1,response(X2,X2)) ).
% 0.19/0.64
% 0.19/0.64 %---- Hypothesis: There exists a bird x that is fond of itself.
% 0.19/0.64 cnf(prove_the_bird_exists,negated_conjecture,
% 0.19/0.64 response(X,X) != X ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:7(EqnAxiom:5)
% 0.19/0.64 %VarNum:8(SingletonVarNum:3)
% 0.19/0.64 %MaxLitNum:1
% 0.19/0.64 %MaxfuncDepth:2
% 0.19/0.64 %SharedTerms:1
% 0.19/0.64 %goalClause: 7
% 0.19/0.64 %singleGoalClaCount:1
% 0.19/0.64 [7]~E(f2(x71,x71),x71)
% 0.19/0.64 [6]E(f2(f2(a1,x61),x62),f2(x61,f2(x62,x62)))
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.19/0.64 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(8,plain,
% 0.19/0.64 (E(f2(x81,f2(x82,x82)),f2(f2(a1,x81),x82))),
% 0.19/0.64 inference(scs_inference,[],[6,2])).
% 0.19/0.64 cnf(13,plain,
% 0.19/0.64 (~E(x131,f2(x131,x131))),
% 0.19/0.64 inference(scs_inference,[],[7,2])).
% 0.19/0.65 cnf(20,plain,
% 0.19/0.65 (~E(f2(f2(a1,f2(x201,x201)),x201),f2(x201,x201))),
% 0.19/0.65 inference(scs_inference,[],[13,6,3,2])).
% 0.19/0.65 cnf(29,plain,
% 0.19/0.65 ($false),
% 0.19/0.65 inference(scs_inference,[],[20,8,6,4,3,2]),
% 0.19/0.65 ['proof']).
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time :0.020000s
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