TSTP Solution File: COL051-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL051-1 : 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 : 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 : Wed Aug 30 18:21:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL051-1 : 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
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 04:43:54 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 % File : COL051-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.59 % Domain : Combinatory Logic
% 0.19/0.59 % Problem : Egocentric mocking bird?
% 0.19/0.59 % Version : Especial.
% 0.19/0.59 % English : There exists a mocking bird. For all birds x and y, there
% 0.19/0.59 % exists a bird z that composes x with y for all birds w. Prove
% 0.19/0.59 % that there exists a bird x that is fond of itself.
% 0.19/0.59
% 0.19/0.59 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% 0.19/0.59 % Source : [ANL]
% 0.19/0.59 % Names : bird2.ver1.in [ANL]
% 0.19/0.59
% 0.19/0.59 % Status : Unsatisfiable
% 0.19/0.59 % Rating : 0.08 v8.1.0, 0.10 v7.5.0, 0.08 v7.4.0, 0.13 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v5.0.0, 0.00 v2.0.0
% 0.19/0.59 % Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 1 RR)
% 0.19/0.59 % Number of literals : 3 ( 3 equ; 1 neg)
% 0.19/0.59 % Maximal clause size : 1 ( 1 avg)
% 0.19/0.59 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.59 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.19/0.59 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.19/0.59 % Number of variables : 5 ( 0 sgn)
% 0.19/0.59 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.19/0.59
% 0.19/0.59 % Comments :
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 %---- There exists a mocking bird (Mock).
% 0.19/0.59 %---- TEx FAy [response(x,y) = response(y,y)].
% 0.19/0.59 %---- response(Mock,y) = response(y,y).
% 0.19/0.59 cnf(mocking_bird_exists,axiom,
% 0.19/0.59 response(mocking_bird,Y) = response(Y,Y) ).
% 0.19/0.59
% 0.19/0.59 %---- For all birds x and y, there exists a bird z that composes
% 0.19/0.59 %---- x with y for all birds w.
% 0.19/0.59 %---- FAx FAy TEz FAw [response(z,w) = response(x,response(y,w))]
% 0.19/0.59 %---- response(comp(x,y),w) = response(x,response(y,w)).
% 0.19/0.59 cnf(composer_exists,hypothesis,
% 0.19/0.59 response(compose(X,Y),W) = response(X,response(Y,W)) ).
% 0.19/0.59
% 0.19/0.59 %---- Hypothesis: There exists a bird x that is fond of itself.
% 0.19/0.59 %---- -TEx [response(x,x) = x].
% 0.19/0.59 %---- FAx -[response(x,x) = x].
% 0.19/0.59 cnf(prove_the_bird_exists,negated_conjecture,
% 0.19/0.59 response(X,X) != X ).
% 0.19/0.59
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof
% 0.19/0.59 %ClaNum:10(EqnAxiom:7)
% 0.19/0.59 %VarNum:12(SingletonVarNum:5)
% 0.19/0.59 %MaxLitNum:1
% 0.19/0.59 %MaxfuncDepth:2
% 0.19/0.59 %SharedTerms:1
% 0.19/0.59 %goalClause: 10
% 0.19/0.59 %singleGoalClaCount:1
% 0.19/0.59 [8]E(f3(a1,x81),f3(x81,x81))
% 0.19/0.59 [10]~E(f3(x101,x101),x101)
% 0.19/0.59 [9]E(f3(f2(x91,x92),x93),f3(x91,f3(x92,x93)))
% 0.19/0.59 %EqnAxiom
% 0.19/0.59 [1]E(x11,x11)
% 0.19/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.59 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.59 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.59 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 0.19/0.59 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 0.19/0.59
% 0.19/0.59 %-------------------------------------------
% 0.19/0.60 cnf(11,plain,
% 0.19/0.60 (E(f3(x111,x111),f3(a1,x111))),
% 0.19/0.60 inference(scs_inference,[],[8,2])).
% 0.19/0.60 cnf(12,plain,
% 0.19/0.60 (~E(f3(f3(x121,x121),f3(x121,x121)),f3(a1,x121))),
% 0.19/0.60 inference(scs_inference,[],[10,8,2,3])).
% 0.19/0.60 cnf(23,plain,
% 0.19/0.60 (E(f3(f2(a1,x231),x232),f3(f3(x231,x232),f3(x231,x232)))),
% 0.19/0.60 inference(scs_inference,[],[8,9,2,3])).
% 0.19/0.60 cnf(31,plain,
% 0.19/0.60 (E(f3(f3(x311,x312),f3(x311,x312)),f3(f2(a1,x311),x312))),
% 0.19/0.60 inference(scs_inference,[],[12,11,23,3,2])).
% 0.19/0.60 cnf(37,plain,
% 0.19/0.60 ($false),
% 0.19/0.60 inference(scs_inference,[],[11,31,10,3]),
% 0.19/0.60 ['proof']).
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time :0.000000s
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