TSTP Solution File: CAT005-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : CAT005-1 : 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 : n021.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 14:01:08 EDT 2024
% Result : Unsatisfiable 0.68s 0.86s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n021.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 : Wed Mar 20 23:42:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.68/0.86 % SZS status Unsatisfiable for theBenchmark
% 0.68/0.86 % SZS output start Proof for theBenchmark
% 0.68/0.86
% 0.68/0.86 % Problem matrix:
% 0.68/0.86 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.68/0.86 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.68/0.86 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.68/0.86 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( compose(__eqx_0, __eqx_1) = compose(__eqy_0, __eqy_1)) )).
% 0.68/0.86 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( domain(__eqx_0) = domain(__eqy_0)) )).
% 0.68/0.86 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( codomain(__eqx_0) = codomain(__eqy_0)) )).
% 0.68/0.86 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~defined(__eqx_0, __eqx_1) | defined(__eqy_0, __eqy_1) )).
% 0.68/0.86 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~product(__eqx_0, __eqx_1, __eqx_2) | product(__eqy_0, __eqy_1, __eqy_2) )).
% 0.68/0.86 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~identity_map(__eqx_0) | identity_map(__eqy_0) )).
% 0.68/0.86 cnf(matrix-9, plain, ( ~defined(X, Y) | product(X, Y, compose(X, Y)) )).
% 0.68/0.86 cnf(matrix-10, plain, ( ~product(X, Y, Z) | defined(X, Y) )).
% 0.68/0.86 cnf(matrix-11, plain, ( ~product(X, Y, Xy) | ~defined(Xy, Z) | defined(Y, Z) )).
% 0.68/0.86 cnf(matrix-12, plain, ( ~product(X, Y, Xy) | ~product(Y, Z, Yz) | ~defined(Xy, Z) | defined(X, Yz) )).
% 0.68/0.86 cnf(matrix-13, plain, ( ~product(X, Y, Xy) | ~product(Xy, Z, Xyz) | ~product(Y, Z, Yz) | product(X, Yz, Xyz) )).
% 0.68/0.86 cnf(matrix-14, plain, ( ~product(Y, Z, Yz) | ~defined(X, Yz) | defined(X, Y) )).
% 0.68/0.86 cnf(matrix-15, plain, ( ~product(Y, Z, Yz) | ~product(X, Y, Xy) | ~defined(X, Yz) | defined(Xy, Z) )).
% 0.68/0.86 cnf(matrix-16, plain, ( ~product(Y, Z, Yz) | ~product(X, Yz, Xyz) | ~product(X, Y, Xy) | product(Xy, Z, Xyz) )).
% 0.68/0.86 cnf(matrix-17, plain, ( ~defined(X, Y) | ~defined(Y, Z) | ~identity_map(Y) | defined(X, Z) )).
% 0.68/0.86 cnf(matrix-18, plain, ( identity_map(domain(X)) )).
% 0.68/0.86 cnf(matrix-19, plain, ( identity_map(codomain(X)) )).
% 0.68/0.86 cnf(matrix-20, plain, ( defined(X, domain(X)) )).
% 0.68/0.86 cnf(matrix-21, plain, ( defined(codomain(X), X) )).
% 0.68/0.86 cnf(matrix-22, plain, ( product(X, domain(X), X) )).
% 0.68/0.86 cnf(matrix-23, plain, ( product(codomain(X), X, X) )).
% 0.68/0.86 cnf(matrix-24, plain, ( ~defined(X, Y) | ~identity_map(X) | product(X, Y, Y) )).
% 0.68/0.86 cnf(matrix-25, plain, ( ~defined(X, Y) | ~identity_map(Y) | product(X, Y, X) )).
% 0.68/0.86 cnf(matrix-26, plain, ( ~product(X, Y, Z) | ~product(X, Y, W) | ( Z = W) )).
% 0.68/0.86 cnf(matrix-27, plain, ( defined(a, d) )).
% 0.68/0.86 cnf(matrix-28, plain, ( identity_map(d) )).
% 0.68/0.86 cnf(matrix-29, plain, ( ( domain(a) != d) )).
% 0.68/0.86
% 0.68/0.86 % Proof stack:
% 0.68/0.86 cnf(proof-stack, plain,
% 0.68/0.86 proof_stack(
% 0.68/0.86 start(29),
% 0.68/0.86 left_branch(0, 26, 2, 2),
% 0.68/0.86 left_branch(0, 25, 2, 3),
% 0.68/0.86 left_branch(0, 11, 2, 4),
% 0.68/0.86 left_branch(0, 22, 0, 5),
% 0.68/0.86 right_branch(5),
% 0.68/0.86 left_branch(0, 27, 0, 6),
% 0.68/0.86 right_branch(6),
% 0.68/0.86 right_branch(4),
% 0.68/0.86 left_branch(0, 28, 0, 5),
% 0.68/0.86 right_branch(5),
% 0.68/0.86 right_branch(3),
% 0.68/0.86 left_branch(0, 24, 2, 4),
% 0.68/0.86 left_branch(0, 11, 2, 5),
% 0.68/0.86 left_branch(0, 22, 0, 6),
% 0.68/0.86 right_branch(6),
% 0.68/0.86 left_branch(0, 27, 0, 7),
% 0.68/0.86 right_branch(7),
% 0.68/0.86 right_branch(5),
% 0.68/0.86 left_branch(0, 18, 0, 6),
% 0.68/0.86 right_branch(6),
% 0.68/0.86 right_branch(4),
% 0.68/0.86 right_branch(2)
% 0.68/0.86 )).
% 0.68/0.86 % SZS output end Proof for theBenchmark
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