TSTP Solution File: SEU247+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.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 14:33:45 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
% 0.00/0.13 % Problem : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.15/0.35 % Computer : n012.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 14:35:15 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: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u1, _u0) = set_intersection2(_u0, _u1)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: d6_wellord1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(d6_wellord1-1, axiom, ( ~relation(_u3) | ( relation_restriction(_u3, _u2) = set_intersection2(_u3, cartesian_product2(_u2, _u2))) )).
% 0.15/0.36
% 0.15/0.36 % Formula: dt_k2_wellord1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(dt_k2_wellord1-1, axiom, ( ~relation(_u5) | relation(relation_restriction(_u5, _u4)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.15/0.36
% 0.15/0.36 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(dt_k3_xboole_0, axiom, $true).
% 0.15/0.36
% 0.15/0.36 % Formula: dt_k7_relat_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(dt_k7_relat_1-1, axiom, ( ~relation(_u7) | relation(relation_dom_restriction(_u7, _u6)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: dt_k8_relat_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(dt_k8_relat_1-1, axiom, ( ~relation(_u8) | relation(relation_rng_restriction(_u9, _u8)) )).
% 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(_u11, _u11) = _u11) )).
% 0.15/0.36
% 0.15/0.36 % Formula: t140_relat_1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(t140_relat_1-1, axiom, ( ~relation(_u12) | ( relation_dom_restriction(relation_rng_restriction(_u14, _u12), _u13) = relation_rng_restriction(_u14, relation_dom_restriction(_u12, _u13))) )).
% 0.15/0.36
% 0.15/0.36 % Formula: t17_wellord1 ( axiom ) converted to clauses:
% 0.15/0.36 cnf(t17_wellord1-1, axiom, ( ~relation(_u15) | ( relation_restriction(_u15, _u16) = relation_dom_restriction(relation_rng_restriction(_u16, _u15), _u16)) )).
% 0.15/0.36
% 0.15/0.36 % Formula: t18_wellord1 ( conjecture ) (definitionally) converted to clauses:
% 0.15/0.36 cnf(t18_wellord1-1, negated_conjecture, ( relation(skolem2) )).
% 0.15/0.36 cnf(t18_wellord1-2, negated_conjecture, ( ( relation_restriction(skolem2, skolem1) != relation_rng_restriction(skolem1, relation_dom_restriction(skolem2, skolem1))) )).
% 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) | ( __eqx_1 != __eqy_1) | ( relation_restriction(__eqx_0, __eqx_1) = relation_restriction(__eqy_0, __eqy_1)) )).
% 0.15/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 0.15/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_dom_restriction(__eqx_0, __eqx_1) = relation_dom_restriction(__eqy_0, __eqy_1)) )).
% 0.15/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_rng_restriction(__eqx_0, __eqx_1) = relation_rng_restriction(__eqy_0, __eqy_1)) )).
% 0.15/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.15/0.36 cnf(matrix-9, plain, ( ( set_intersection2(_u1, _u0) = set_intersection2(_u0, _u1)) )).
% 0.15/0.36 cnf(matrix-10, plain, ( ~relation(_u3) | ( relation_restriction(_u3, _u2) = set_intersection2(_u3, cartesian_product2(_u2, _u2))) )).
% 0.15/0.36 cnf(matrix-11, plain, ( ~relation(_u5) | relation(relation_restriction(_u5, _u4)) )).
% 0.15/0.36 cnf(matrix-12, plain, ( ~relation(_u7) | relation(relation_dom_restriction(_u7, _u6)) )).
% 0.15/0.36 cnf(matrix-13, plain, ( ~relation(_u8) | relation(relation_rng_restriction(_u9, _u8)) )).
% 0.15/0.36 cnf(matrix-14, plain, ( ( set_intersection2(_u11, _u11) = _u11) )).
% 0.15/0.36 cnf(matrix-15, plain, ( ~relation(_u12) | ( relation_dom_restriction(relation_rng_restriction(_u14, _u12), _u13) = relation_rng_restriction(_u14, relation_dom_restriction(_u12, _u13))) )).
% 0.15/0.36 cnf(matrix-16, plain, ( ~relation(_u15) | ( relation_restriction(_u15, _u16) = relation_dom_restriction(relation_rng_restriction(_u16, _u15), _u16)) )).
% 0.15/0.36 cnf(matrix-17, plain, ( relation(skolem2) )).
% 0.15/0.36 cnf(matrix-18, plain, ( ( relation_restriction(skolem2, skolem1) != relation_rng_restriction(skolem1, relation_dom_restriction(skolem2, skolem1))) )).
% 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(18),
% 0.15/0.36 left_branch(0, 2, 2, 2),
% 0.15/0.36 left_branch(0, 16, 1, 3),
% 0.15/0.36 left_branch(0, 17, 0, 4),
% 0.15/0.36 right_branch(4),
% 0.15/0.36 right_branch(3),
% 0.15/0.36 left_branch(0, 15, 1, 4),
% 0.15/0.36 left_branch(0, 17, 0, 5),
% 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
%------------------------------------------------------------------------------