TSTP Solution File: SET971+1 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.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 14:32:54 EDT 2024
% Result : Theorem 0.46s 0.62s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n014.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 : Wed Mar 20 21:36:00 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.46/0.62 % SZS status Theorem for theBenchmark
% 0.46/0.62 % SZS output start Proof for theBenchmark
% 0.46/0.62
% 0.46/0.62 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u1, _u0) = set_intersection2(_u0, _u1)) )).
% 0.46/0.62
% 0.46/0.62 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u3, _u3) = _u3) )).
% 0.46/0.62
% 0.46/0.62 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(rc1_xboole_0-1, axiom, ( empty(skolem1) )).
% 0.46/0.62
% 0.46/0.62 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem2) )).
% 0.46/0.62
% 0.46/0.62 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.46/0.62 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u7, _u7) )).
% 0.46/0.62
% 0.46/0.62 % Formula: t123_zfmisc_1 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(t123_zfmisc_1-1, axiom, ( ( cartesian_product2(set_intersection2(_u11, _u10), set_intersection2(_u9, _u8)) = set_intersection2(cartesian_product2(_u11, _u9), cartesian_product2(_u10, _u8))) )).
% 0.46/0.62
% 0.46/0.62 % Formula: t124_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.46/0.62 cnf(t124_zfmisc_1-1, negated_conjecture, ( subset(skolem3, skolem4) )).
% 0.46/0.62 cnf(t124_zfmisc_1-2, negated_conjecture, ( subset(skolem5, skolem6) )).
% 0.46/0.62 cnf(t124_zfmisc_1-3, negated_conjecture, ( ( set_intersection2(cartesian_product2(skolem3, skolem6), cartesian_product2(skolem4, skolem5)) != cartesian_product2(skolem3, skolem5)) )).
% 0.46/0.62
% 0.46/0.62 % Formula: t28_xboole_1 ( axiom ) converted to clauses:
% 0.46/0.62 cnf(t28_xboole_1-1, axiom, ( ~subset(_u17, _u16) | ( set_intersection2(_u17, _u16) = _u17) )).
% 0.46/0.62
% 0.46/0.62 % Problem matrix:
% 0.46/0.62 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.46/0.62 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.46/0.62 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.46/0.62 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 0.46/0.62 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 0.46/0.62 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.46/0.62 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.46/0.62 cnf(matrix-7, plain, ( ( set_intersection2(_u1, _u0) = set_intersection2(_u0, _u1)) )).
% 0.46/0.62 cnf(matrix-8, plain, ( ( set_intersection2(_u3, _u3) = _u3) )).
% 0.46/0.62 cnf(matrix-9, plain, ( empty(skolem1) )).
% 0.46/0.62 cnf(matrix-10, plain, ( ~empty(skolem2) )).
% 0.46/0.62 cnf(matrix-11, plain, ( subset(_u7, _u7) )).
% 0.46/0.62 cnf(matrix-12, plain, ( ( cartesian_product2(set_intersection2(_u11, _u10), set_intersection2(_u9, _u8)) = set_intersection2(cartesian_product2(_u11, _u9), cartesian_product2(_u10, _u8))) )).
% 0.46/0.62 cnf(matrix-13, plain, ( subset(skolem3, skolem4) )).
% 0.46/0.62 cnf(matrix-14, plain, ( subset(skolem5, skolem6) )).
% 0.46/0.62 cnf(matrix-15, plain, ( ( set_intersection2(cartesian_product2(skolem3, skolem6), cartesian_product2(skolem4, skolem5)) != cartesian_product2(skolem3, skolem5)) )).
% 0.46/0.62 cnf(matrix-16, plain, ( ~subset(_u17, _u16) | ( set_intersection2(_u17, _u16) = _u17) )).
% 0.46/0.62
% 0.46/0.62 % Proof stack:
% 0.46/0.62 cnf(proof-stack, plain,
% 0.46/0.62 proof_stack(
% 0.46/0.62 start(15),
% 0.46/0.62 left_branch(0, 2, 2, 2),
% 0.46/0.62 left_branch(0, 2, 2, 3),
% 0.46/0.62 left_branch(0, 1, 1, 4),
% 0.46/0.62 left_branch(0, 12, 0, 5),
% 0.46/0.62 right_branch(5),
% 0.46/0.62 right_branch(4),
% 0.46/0.62 left_branch(0, 4, 2, 5),
% 0.46/0.62 left_branch(0, 0, 0, 6),
% 0.46/0.62 right_branch(6),
% 0.46/0.62 left_branch(0, 7, 0, 7),
% 0.46/0.62 right_branch(7),
% 0.46/0.62 right_branch(5),
% 0.46/0.62 right_branch(3),
% 0.46/0.62 left_branch(0, 4, 2, 4),
% 0.46/0.62 left_branch(0, 16, 1, 5),
% 0.46/0.62 left_branch(0, 13, 0, 6),
% 0.46/0.62 right_branch(6),
% 0.46/0.62 right_branch(5),
% 0.46/0.62 left_branch(0, 16, 1, 6),
% 0.46/0.62 left_branch(0, 14, 0, 7),
% 0.46/0.62 right_branch(7),
% 0.46/0.62 right_branch(6),
% 0.46/0.62 right_branch(4),
% 0.46/0.62 right_branch(2)
% 0.46/0.62 )).
% 0.46/0.62 % SZS output end Proof for theBenchmark
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