TSTP Solution File: COL059-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : COL059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n028.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 18:31:52 EDT 2023
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 05:35:23 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.38 Command-line arguments: --ground-connectedness --complete-subsets
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% 0.20/0.38 % SZS status Unsatisfiable
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% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 Axiom 1 (prove_l3_not_egocentric): response(l3, l3) = l3.
% 0.20/0.39 Axiom 2 (l3_definition): response(l2, lark) = l3.
% 0.20/0.39 Axiom 3 (l2_definition): response(lark, lark) = l2.
% 0.20/0.39 Axiom 4 (kestrel_exists): response(response(kestrel, X), Y) = X.
% 0.20/0.39 Axiom 5 (lark_lemma1): response(response(response(lark, lark), X), Y) = response(response(X, X), response(Y, Y)).
% 0.20/0.39 Axiom 6 (lark_lemma2): response(response(response(response(lark, lark), lark), X), Y) = response(response(response(X, X), response(X, X)), response(x2, x2)).
% 0.20/0.39
% 0.20/0.39 Lemma 7: response(l3, Y) = response(l3, X).
% 0.20/0.39 Proof:
% 0.20/0.39 response(l3, Y)
% 0.20/0.39 = { by axiom 1 (prove_l3_not_egocentric) R->L }
% 0.20/0.39 response(response(l3, l3), Y)
% 0.20/0.39 = { by axiom 2 (l3_definition) R->L }
% 0.20/0.39 response(response(response(l2, lark), l3), Y)
% 0.20/0.39 = { by axiom 3 (l2_definition) R->L }
% 0.20/0.39 response(response(response(response(lark, lark), lark), l3), Y)
% 0.20/0.39 = { by axiom 6 (lark_lemma2) }
% 0.20/0.39 response(response(response(l3, l3), response(l3, l3)), response(x2, x2))
% 0.20/0.39 = { by axiom 6 (lark_lemma2) R->L }
% 0.20/0.39 response(response(response(response(lark, lark), lark), l3), X)
% 0.20/0.39 = { by axiom 3 (l2_definition) }
% 0.20/0.39 response(response(response(l2, lark), l3), X)
% 0.20/0.39 = { by axiom 2 (l3_definition) }
% 0.20/0.39 response(response(l3, l3), X)
% 0.20/0.39 = { by axiom 1 (prove_l3_not_egocentric) }
% 0.20/0.39 response(l3, X)
% 0.20/0.39
% 0.20/0.39 Lemma 8: response(l3, X) = l3.
% 0.20/0.39 Proof:
% 0.20/0.39 response(l3, X)
% 0.20/0.39 = { by lemma 7 }
% 0.20/0.39 response(l3, l3)
% 0.20/0.39 = { by axiom 1 (prove_l3_not_egocentric) }
% 0.20/0.39 l3
% 0.20/0.39
% 0.20/0.39 Lemma 9: response(response(X, X), response(Y, Y)) = response(response(l2, X), Y).
% 0.20/0.39 Proof:
% 0.20/0.39 response(response(X, X), response(Y, Y))
% 0.20/0.39 = { by axiom 5 (lark_lemma1) R->L }
% 0.20/0.39 response(response(response(lark, lark), X), Y)
% 0.20/0.39 = { by axiom 3 (l2_definition) }
% 0.20/0.39 response(response(l2, X), Y)
% 0.20/0.39
% 0.20/0.39 Lemma 10: response(response(l2, kestrel), X) = kestrel.
% 0.20/0.39 Proof:
% 0.20/0.39 response(response(l2, kestrel), X)
% 0.20/0.39 = { by lemma 9 R->L }
% 0.20/0.39 response(response(kestrel, kestrel), response(X, X))
% 0.20/0.39 = { by axiom 4 (kestrel_exists) }
% 0.20/0.39 kestrel
% 0.20/0.39
% 0.20/0.39 Lemma 11: l3 = kestrel.
% 0.20/0.39 Proof:
% 0.20/0.39 l3
% 0.20/0.39 = { by lemma 8 R->L }
% 0.20/0.39 response(l3, X)
% 0.20/0.39 = { by lemma 8 R->L }
% 0.20/0.39 response(response(l3, response(l2, kestrel)), X)
% 0.20/0.39 = { by axiom 2 (l3_definition) R->L }
% 0.20/0.39 response(response(response(l2, lark), response(l2, kestrel)), X)
% 0.20/0.39 = { by axiom 3 (l2_definition) R->L }
% 0.20/0.39 response(response(response(response(lark, lark), lark), response(l2, kestrel)), X)
% 0.20/0.39 = { by axiom 6 (lark_lemma2) }
% 0.20/0.39 response(response(response(response(l2, kestrel), response(l2, kestrel)), response(response(l2, kestrel), response(l2, kestrel))), response(x2, x2))
% 0.20/0.39 = { by lemma 9 }
% 0.20/0.39 response(response(l2, response(response(l2, kestrel), response(l2, kestrel))), x2)
% 0.20/0.39 = { by lemma 10 }
% 0.20/0.39 response(response(l2, kestrel), x2)
% 0.20/0.39 = { by lemma 10 }
% 0.20/0.39 kestrel
% 0.20/0.39
% 0.20/0.39 Goal 1 (lark_not_egocentric): response(l2, l2) = l2.
% 0.20/0.39 Proof:
% 0.20/0.39 response(l2, l2)
% 0.20/0.39 = { by axiom 4 (kestrel_exists) R->L }
% 0.20/0.39 response(response(kestrel, response(l2, l2)), X)
% 0.20/0.39 = { by lemma 11 R->L }
% 0.20/0.39 response(response(l3, response(l2, l2)), X)
% 0.20/0.39 = { by lemma 7 }
% 0.20/0.39 response(response(l3, l2), X)
% 0.20/0.39 = { by lemma 11 }
% 0.20/0.39 response(response(kestrel, l2), X)
% 0.20/0.39 = { by axiom 4 (kestrel_exists) }
% 0.20/0.39 l2
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39
% 0.20/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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