TSTP Solution File: COL056-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL056-1 : 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 : 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 18:21:30 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.33 % Computer : n012.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Sun Aug 27 04:44:40 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 % File : COL056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.60 % Domain : Combinatory Logic
% 0.19/0.60 % Problem : Normal Birds
% 0.19/0.60 % Version : Especial.
% 0.19/0.60 % English : For all birds x and y, there exists a bird z that composes
% 0.19/0.60 % x with y for all birds w. Prove that if there exists a happy
% 0.19/0.60 % bird then there exists a normal bird.
% 0.19/0.60
% 0.19/0.60 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% 0.19/0.60 % Source : [ANL]
% 0.19/0.60 % Names : bird8.ver1.in [ANL]
% 0.19/0.60
% 0.19/0.60 % Status : Unsatisfiable
% 0.19/0.60 % Rating : 0.08 v8.1.0, 0.00 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.06 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.05 v5.4.0, 0.07 v5.3.0, 0.08 v5.2.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.0.0
% 0.19/0.60 % Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 3 RR)
% 0.19/0.60 % Number of literals : 4 ( 4 equ; 1 neg)
% 0.19/0.60 % Maximal clause size : 1 ( 1 avg)
% 0.19/0.60 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.60 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.19/0.60 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.19/0.60 % Number of variables : 5 ( 1 sgn)
% 0.19/0.60 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.19/0.60
% 0.19/0.60 % Comments :
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 %----For all birds x and y, there exists a bird z that composes x with
% 0.19/0.60 %----y for all birds w.
% 0.19/0.60 %---- FAx FAy TEz FAw [response(z,w) = response(x,response(y,w))].
% 0.19/0.60 %---- response(comp(x,y),w) = response(x,response(y,w)).
% 0.19/0.60 cnf(composer_exists,axiom,
% 0.19/0.60 response(compose(X,Y),W) = response(X,response(Y,W)) ).
% 0.19/0.60
% 0.19/0.60 %----Hypothesis: If there exists a happy bird then there exists a normal
% 0.19/0.60 %----bird.
% 0.19/0.60 %----Finding clause (using xy to replace response(x,y)):
% 0.19/0.60 %---- -[ If TEx TEy TEz (xy = z) and (xz = y)
% 0.19/0.60 %---- then TEw TEv (wv = v) ].
% 0.19/0.60 %---- -[ FAx FAy FAz -((xy = z) and (xz = y)) | TEw TEv (wv = v) ]
% 0.19/0.60 %---- TEx TEy TEz [(xy = z) and (xz = y)] and FAw FAv -(wv = v).
% 0.19/0.60 %---- (AB = C) and (AC = B) and -(wv = v).
% 0.19/0.60 cnf(a_to_b_responds_c,hypothesis,
% 0.19/0.60 response(a,b) = c ).
% 0.19/0.60
% 0.19/0.60 cnf(a_to_c_responds_b,hypothesis,
% 0.19/0.60 response(a,c) = b ).
% 0.19/0.60
% 0.19/0.60 cnf(prove_there_exists_a_happy_bird,negated_conjecture,
% 0.19/0.60 response(W,V) != V ).
% 0.19/0.60
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:11(EqnAxiom:7)
% 0.19/0.61 %VarNum:9(SingletonVarNum:5)
% 0.19/0.61 %MaxLitNum:1
% 0.19/0.61 %MaxfuncDepth:2
% 0.19/0.61 %SharedTerms:7
% 0.19/0.61 %goalClause: 11
% 0.19/0.61 %singleGoalClaCount:1
% 0.19/0.61 [8]E(f3(a1,a2),a4)
% 0.19/0.61 [9]E(f3(a1,a4),a2)
% 0.19/0.61 [11]~E(f3(x111,x112),x112)
% 0.19/0.61 [10]E(f3(f5(x101,x102),x103),f3(x101,f3(x102,x103)))
% 0.19/0.61 %EqnAxiom
% 0.19/0.61 [1]E(x11,x11)
% 0.19/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.61 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.61 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.61 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.19/0.61 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(12,plain,
% 0.19/0.61 (E(a4,f3(a1,a2))),
% 0.19/0.61 inference(scs_inference,[],[8,2])).
% 0.19/0.61 cnf(13,plain,
% 0.19/0.61 (~E(f3(x131,a4),f3(a1,a2))),
% 0.19/0.61 inference(scs_inference,[],[11,8,2,3])).
% 0.19/0.61 cnf(15,plain,
% 0.19/0.61 (E(f5(x151,f3(a1,a2)),f5(x151,a4))),
% 0.19/0.61 inference(scs_inference,[],[11,8,2,3,7])).
% 0.19/0.61 cnf(19,plain,
% 0.19/0.61 (~E(x191,f3(x192,x191))),
% 0.19/0.61 inference(scs_inference,[],[11,2])).
% 0.19/0.61 cnf(32,plain,
% 0.19/0.61 (~E(x321,f5(x322,x321))),
% 0.19/0.61 inference(scs_inference,[],[10,19,13,2,3,4])).
% 0.19/0.61 cnf(34,plain,
% 0.19/0.61 (E(a2,f3(a1,a4))),
% 0.19/0.61 inference(scs_inference,[],[9,4,2])).
% 0.19/0.61 cnf(39,plain,
% 0.19/0.61 (~E(f5(x391,x392),x392)),
% 0.19/0.61 inference(scs_inference,[],[32,2])).
% 0.19/0.61 cnf(45,plain,
% 0.19/0.61 (~E(f5(x451,f5(x452,a4)),f5(x452,f3(a1,a2)))),
% 0.19/0.61 inference(scs_inference,[],[15,12,39,4,2,3])).
% 0.19/0.61 cnf(54,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[10,13,45,34,9,7,2,3,5]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
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