TSTP Solution File: SET917+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET917+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 : n007.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 14:32:47 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Mar 20 21:42:14 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % SZS status Theorem for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% 0.15/0.36
% 0.15/0.36 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.15/0.36 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.15/0.36
% 0.15/0.36 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u5, _u5) = _u5) )).
% 0.15/0.36
% 0.15/0.36 % Formula: l28_zfmisc_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(l28_zfmisc_1-1, axiom, ( in(_u7, _u6) | disjoint(singleton(_u7), _u6) )).
% 0.15/0.36
% 0.15/0.36 % Formula: l32_zfmisc_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(l32_zfmisc_1-1, axiom, ( ~in(_u9, _u8) | ( set_intersection2(_u8, singleton(_u9)) = singleton(_u9)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(rc1_xboole_0-1, axiom, ( empty(skolem1) )).
% 0.15/0.36
% 0.15/0.36 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem2) )).
% 0.15/0.36
% 0.15/0.36 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u13, _u12) | disjoint(_u12, _u13) )).
% 0.15/0.36
% 0.15/0.36 % Formula: t58_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.15/0.36 cnf(t58_zfmisc_1-1, negated_conjecture, ( ~disjoint(singleton(skolem3), skolem4) )).
% 0.15/0.36 cnf(t58_zfmisc_1-2, negated_conjecture, ( ( set_intersection2(singleton(skolem3), skolem4) != singleton(skolem3)) )).
% 0.15/0.36
% 0.15/0.36 % Problem matrix:
% 0.15/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.15/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.15/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.15/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 0.15/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.15/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.15/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 0.15/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.15/0.36 cnf(matrix-8, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.15/0.36 cnf(matrix-9, plain, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 0.15/0.36 cnf(matrix-10, plain, ( ( set_intersection2(_u5, _u5) = _u5) )).
% 0.15/0.36 cnf(matrix-11, plain, ( in(_u7, _u6) | disjoint(singleton(_u7), _u6) )).
% 0.15/0.36 cnf(matrix-12, plain, ( ~in(_u9, _u8) | ( set_intersection2(_u8, singleton(_u9)) = singleton(_u9)) )).
% 0.15/0.36 cnf(matrix-13, plain, ( empty(skolem1) )).
% 0.15/0.36 cnf(matrix-14, plain, ( ~empty(skolem2) )).
% 0.15/0.36 cnf(matrix-15, plain, ( ~disjoint(_u13, _u12) | disjoint(_u12, _u13) )).
% 0.15/0.36 cnf(matrix-16, plain, ( ~disjoint(singleton(skolem3), skolem4) )).
% 0.15/0.36 cnf(matrix-17, plain, ( ( set_intersection2(singleton(skolem3), skolem4) != singleton(skolem3)) )).
% 0.15/0.36
% 0.15/0.36 % Proof stack:
% 0.15/0.36 cnf(proof-stack, plain,
% 0.15/0.36 proof_stack(
% 0.15/0.36 start(17),
% 0.15/0.36 left_branch(0, 2, 2, 2),
% 0.15/0.36 left_branch(0, 9, 0, 3),
% 0.15/0.36 right_branch(3),
% 0.15/0.36 left_branch(0, 12, 1, 4),
% 0.15/0.36 left_branch(0, 11, 0, 5),
% 0.15/0.36 left_branch(0, 16, 0, 6),
% 0.15/0.36 right_branch(6),
% 0.15/0.36 right_branch(5),
% 0.15/0.36 right_branch(4),
% 0.15/0.36 right_branch(2)
% 0.15/0.36 )).
% 0.15/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------