TSTP Solution File: COL055-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL055-1 : 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 : n025.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 18:21:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 04:21:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % File :CSE---1.6
% 0.21/0.62 % Problem :theBenchmark
% 0.21/0.62 % Transform :cnf
% 0.21/0.62 % Format :tptp:raw
% 0.21/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.62
% 0.21/0.62 % Result :Theorem 0.000000s
% 0.21/0.62 % Output :CNFRefutation 0.000000s
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 %--------------------------------------------------------------------------
% 0.21/0.62 % File : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.62 % Domain : Combinatory Logic
% 0.21/0.62 % Problem : Happy Birds
% 0.21/0.62 % Version : Especial.
% 0.21/0.62 % English : There exists a bird which is fond of some other bird. Prove
% 0.21/0.62 % that any bird that is fond of at least one bird must
% 0.21/0.62 % be happy.
% 0.21/0.62
% 0.21/0.62 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% 0.21/0.62 % Source : [ANL]
% 0.21/0.62 % Names : bird7.ver1.in [ANL]
% 0.21/0.62
% 0.21/0.62 % Status : Unsatisfiable
% 0.21/0.62 % Rating : 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0
% 0.21/0.62 % Syntax : Number of clauses : 2 ( 1 unt; 0 nHn; 2 RR)
% 0.21/0.63 % Number of literals : 3 ( 3 equ; 2 neg)
% 0.21/0.63 % Maximal clause size : 2 ( 1 avg)
% 0.21/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.63 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.21/0.63 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% 0.21/0.63 % Number of variables : 2 ( 0 sgn)
% 0.21/0.63 % SPC : CNF_UNS_RFO_PEQ_NUE
% 0.21/0.63
% 0.21/0.63 % Comments :
% 0.21/0.63 %--------------------------------------------------------------------------
% 0.21/0.63 %----First part of denial clause: there exists a bird which is fond
% 0.21/0.63 %----of some other bird.
% 0.21/0.63 cnf(fond_bird_exists,hypothesis,
% 0.21/0.63 response(a,b) = b ).
% 0.21/0.63
% 0.21/0.63 %----Hypothesis: Any bird that is fond of at least one bird must be happy.
% 0.21/0.63 %---- - FAx [If TEy (xy = y) then TEz TEw (xz = w) and (xw = z)].
% 0.21/0.63 %---- TEx -[- TEy (xy = y) | TEz TEw ((xz = w) and (xw = z))].
% 0.21/0.63 %---- TEx [ TEy (xy = y) and - TEz TEw ((xz = w) and (xw = z)) ].
% 0.21/0.63 %---- TEx [ TEy (xy = y) and FAz FAw -((xz = w) and (xw = z)) ].
% 0.21/0.63 %---- TEy (Ay = y) and FAz FAw -[(Az = w) and (Aw = z)].
% 0.21/0.63 %---- (AB = B) and [-(Az = w) | -(Aw = z)].
% 0.21/0.63 %---- Placing (AB = B) in the list of axiom, we have:
% 0.21/0.63 cnf(prove_happiness,negated_conjecture,
% 0.21/0.63 ( response(a,Z) != W
% 0.21/0.63 | response(a,W) != Z ) ).
% 0.21/0.63
% 0.21/0.63 %--------------------------------------------------------------------------
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark
% 0.21/0.63 % SZS output start Proof
% 0.21/0.63 %ClaNum:7(EqnAxiom:5)
% 0.21/0.63 %VarNum:4(SingletonVarNum:2)
% 0.21/0.63 %MaxLitNum:2
% 0.21/0.63 %MaxfuncDepth:1
% 0.21/0.63 %SharedTerms:4
% 0.21/0.63 %goalClause: 7
% 0.21/0.63 [6]E(f3(a1,a2),a2)
% 0.21/0.63 [7]~E(f3(a1,x72),x71)+~E(f3(a1,x71),x72)
% 0.21/0.63 %EqnAxiom
% 0.21/0.63 [1]E(x11,x11)
% 0.21/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.63 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.21/0.63 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.21/0.63
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 cnf(8,plain,
% 0.21/0.63 ($false),
% 0.21/0.63 inference(scs_inference,[],[6,7]),
% 0.21/0.63 ['proof']).
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63 % Total time :0.000000s
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