TSTP Solution File: CAT013-4 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : CAT013-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 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 : Mon Mar 25 14:01:10 EDT 2024
% Result : Unsatisfiable 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT013-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n028.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 : Thu Mar 21 00:01:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% 0.19/0.42
% 0.19/0.42 % Problem matrix:
% 0.19/0.42 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.42 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( domain(__eqx_0) = domain(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( codomain(__eqx_0) = codomain(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( compose(__eqx_0, __eqx_1) = compose(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equivalent(__eqx_0, __eqx_1) | equivalent(__eqy_0, __eqy_1) )).
% 0.19/0.42 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~there_exists(__eqx_0) | there_exists(__eqy_0) )).
% 0.19/0.42 cnf(matrix-8, plain, ( ~equivalent(X, Y) | there_exists(X) )).
% 0.19/0.42 cnf(matrix-9, plain, ( ~equivalent(X, Y) | ( X = Y) )).
% 0.19/0.42 cnf(matrix-10, plain, ( ~there_exists(X) | ( X != Y) | equivalent(X, Y) )).
% 0.19/0.42 cnf(matrix-11, plain, ( ~there_exists(domain(X)) | there_exists(X) )).
% 0.19/0.42 cnf(matrix-12, plain, ( ~there_exists(codomain(X)) | there_exists(X) )).
% 0.19/0.42 cnf(matrix-13, plain, ( ~there_exists(compose(X, Y)) | there_exists(domain(X)) )).
% 0.19/0.42 cnf(matrix-14, plain, ( ~there_exists(compose(X, Y)) | ( domain(X) = codomain(Y)) )).
% 0.19/0.42 cnf(matrix-15, plain, ( ~there_exists(domain(X)) | ( domain(X) != codomain(Y)) | there_exists(compose(X, Y)) )).
% 0.19/0.42 cnf(matrix-16, plain, ( ( compose(X, compose(Y, Z)) = compose(compose(X, Y), Z)) )).
% 0.19/0.42 cnf(matrix-17, plain, ( ( compose(X, domain(X)) = X) )).
% 0.19/0.42 cnf(matrix-18, plain, ( ( compose(codomain(X), X) = X) )).
% 0.19/0.42 cnf(matrix-19, plain, ( there_exists(codomain(a)) )).
% 0.19/0.42 cnf(matrix-20, plain, ( ( domain(codomain(a)) != codomain(a)) )).
% 0.19/0.42
% 0.19/0.42 % Proof stack:
% 0.19/0.42 cnf(proof-stack, plain,
% 0.19/0.42 proof_stack(
% 0.19/0.42 start(20),
% 0.19/0.42 left_branch(0, 14, 1, 2),
% 0.19/0.42 left_branch(0, 7, 2, 3),
% 0.19/0.42 left_branch(0, 1, 1, 4),
% 0.19/0.42 left_branch(0, 18, 0, 5),
% 0.19/0.42 right_branch(5),
% 0.19/0.42 right_branch(4),
% 0.19/0.42 left_branch(0, 12, 1, 5),
% 0.19/0.42 left_branch(0, 19, 0, 6),
% 0.19/0.42 right_branch(6),
% 0.19/0.42 right_branch(5),
% 0.19/0.42 right_branch(3),
% 0.19/0.42 right_branch(2)
% 0.19/0.42 )).
% 0.19/0.42 % SZS output end Proof for theBenchmark
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