TSTP Solution File: SEU186+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU186+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 : n004.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 14:33:28 EDT 2024
% Result : Theorem 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 14:33:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% 0.18/0.46
% 0.18/0.46 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.18/0.46 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.46
% 0.18/0.46 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(cc1_relat_1-1, axiom, ( ~empty(_u2) | relation(_u2) )).
% 0.18/0.46
% 0.18/0.46 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 0.18/0.46 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u4, _u3) = unordered_pair(_u3, _u4)) )).
% 0.18/0.46
% 0.18/0.46 % Formula: d1_relat_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(d1_relat_1-1, axiom, ( ~relation(_u12) | ~in(_u7, _u12) | ( _u7 = ordered_pair(skolem1(_u12, _u7), skolem2(_u12, _u7))) )).
% 0.18/0.46 cnf(d1_relat_1-2, axiom, ( relation(_u13) | in(skolem3(_u13), _u13) )).
% 0.18/0.46 cnf(d1_relat_1-3, axiom, ( relation(_u13) | ( skolem3(_u13) != ordered_pair(_u9, _u8)) )).
% 0.18/0.46
% 0.18/0.46 % Formula: d5_tarski ( axiom ) converted to clauses:
% 0.18/0.46 cnf(d5_tarski-1, axiom, ( ( ordered_pair(_u15, _u14) = unordered_pair(unordered_pair(_u15, _u14), singleton(_u15))) )).
% 0.18/0.46
% 0.18/0.46 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 0.18/0.46 cnf(dt_k1_tarski, axiom, $true).
% 0.18/0.46
% 0.18/0.46 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(dt_k1_xboole_0, axiom, $true).
% 0.18/0.46
% 0.18/0.46 % Formula: dt_k2_tarski ( axiom ) converted to clauses:
% 0.18/0.46 cnf(dt_k2_tarski, axiom, $true).
% 0.18/0.46
% 0.18/0.46 % Formula: dt_k4_tarski ( axiom ) converted to clauses:
% 0.18/0.46 cnf(dt_k4_tarski, axiom, $true).
% 0.18/0.46
% 0.18/0.46 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(dt_m1_subset_1, axiom, $true).
% 0.18/0.46
% 0.18/0.46 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(existence_m1_subset_1-1, axiom, ( element(skolem4(_u17), _u17) )).
% 0.18/0.46
% 0.18/0.46 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.18/0.46
% 0.18/0.46 % Formula: fc1_zfmisc_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(fc1_zfmisc_1-1, axiom, ( ~empty(ordered_pair(_u19, _u18)) )).
% 0.18/0.46
% 0.18/0.46 % Formula: fc2_subset_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(fc2_subset_1-1, axiom, ( ~empty(singleton(_u20)) )).
% 0.18/0.46
% 0.18/0.46 % Formula: fc3_subset_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(fc3_subset_1-1, axiom, ( ~empty(unordered_pair(_u22, _u21)) )).
% 0.18/0.46
% 0.18/0.46 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.18/0.46 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.18/0.46
% 0.18/0.46 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(rc1_relat_1-1, axiom, ( empty(skolem5) )).
% 0.18/0.46 cnf(rc1_relat_1-2, axiom, ( relation(skolem5) )).
% 0.18/0.46
% 0.18/0.46 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(rc1_xboole_0-1, axiom, ( empty(skolem6) )).
% 0.18/0.46
% 0.18/0.46 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem7) )).
% 0.18/0.46 cnf(rc2_relat_1-2, axiom, ( relation(skolem7) )).
% 0.18/0.46
% 0.18/0.46 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.46 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.18/0.46 cnf(t1_subset-1, axiom, ( ~in(_u28, _u27) | element(_u28, _u27) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.18/0.46 cnf(t2_subset-1, axiom, ( ~element(_u30, _u29) | empty(_u29) | in(_u30, _u29) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t56_relat_1 ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.46 cnf(t56_relat_1-1, negated_conjecture, ( relation(skolem9) )).
% 0.18/0.46 cnf(t56_relat_1-2, negated_conjecture, ( ~in(ordered_pair(_u32, _u31), skolem9) )).
% 0.18/0.46 cnf(t56_relat_1-3, negated_conjecture, ( ( skolem9 != empty_set) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.18/0.46 cnf(t6_boole-1, axiom, ( ~empty(_u34) | ( _u34 = empty_set) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.18/0.46 cnf(t7_boole-1, axiom, ( ~in(_u36, _u35) | ~empty(_u35) )).
% 0.18/0.46
% 0.18/0.46 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.18/0.46 cnf(t8_boole-1, axiom, ( ~empty(_u38) | ( _u38 = _u37) | ~empty(_u37) )).
% 0.18/0.46
% 0.18/0.46 % Problem matrix:
% 0.18/0.46 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.46 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.46 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.46 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 0.18/0.46 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 0.18/0.46 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.18/0.46 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.18/0.46 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.18/0.46 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.18/0.46 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.18/0.46 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.18/0.46 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.18/0.46 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.18/0.46 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.18/0.46 cnf(matrix-14, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.46 cnf(matrix-15, plain, ( ~empty(_u2) | relation(_u2) )).
% 0.18/0.46 cnf(matrix-16, plain, ( ( unordered_pair(_u4, _u3) = unordered_pair(_u3, _u4)) )).
% 0.18/0.46 cnf(matrix-17, plain, ( ~relation(_u12) | ~in(_u7, _u12) | ( _u7 = ordered_pair(skolem1(_u12, _u7), skolem2(_u12, _u7))) )).
% 0.18/0.46 cnf(matrix-18, plain, ( relation(_u13) | in(skolem3(_u13), _u13) )).
% 0.18/0.46 cnf(matrix-19, plain, ( relation(_u13) | ( skolem3(_u13) != ordered_pair(_u9, _u8)) )).
% 0.18/0.46 cnf(matrix-20, plain, ( ( ordered_pair(_u15, _u14) = unordered_pair(unordered_pair(_u15, _u14), singleton(_u15))) )).
% 0.18/0.46 cnf(matrix-21, plain, ( element(skolem4(_u17), _u17) )).
% 0.18/0.46 cnf(matrix-22, plain, ( empty(empty_set) )).
% 0.18/0.46 cnf(matrix-23, plain, ( ~empty(ordered_pair(_u19, _u18)) )).
% 0.18/0.46 cnf(matrix-24, plain, ( ~empty(singleton(_u20)) )).
% 0.18/0.46 cnf(matrix-25, plain, ( ~empty(unordered_pair(_u22, _u21)) )).
% 0.18/0.46 cnf(matrix-26, plain, ( empty(empty_set) )).
% 0.18/0.46 cnf(matrix-27, plain, ( relation(empty_set) )).
% 0.18/0.46 cnf(matrix-28, plain, ( empty(skolem5) )).
% 0.18/0.46 cnf(matrix-29, plain, ( relation(skolem5) )).
% 0.18/0.46 cnf(matrix-30, plain, ( empty(skolem6) )).
% 0.18/0.46 cnf(matrix-31, plain, ( ~empty(skolem7) )).
% 0.18/0.46 cnf(matrix-32, plain, ( relation(skolem7) )).
% 0.18/0.46 cnf(matrix-33, plain, ( ~empty(skolem8) )).
% 0.18/0.46 cnf(matrix-34, plain, ( ~in(_u28, _u27) | element(_u28, _u27) )).
% 0.18/0.46 cnf(matrix-35, plain, ( ~element(_u30, _u29) | empty(_u29) | in(_u30, _u29) )).
% 0.18/0.46 cnf(matrix-36, plain, ( relation(skolem9) )).
% 0.18/0.46 cnf(matrix-37, plain, ( ~in(ordered_pair(_u32, _u31), skolem9) )).
% 0.18/0.46 cnf(matrix-38, plain, ( ( skolem9 != empty_set) )).
% 0.18/0.46 cnf(matrix-39, plain, ( ~empty(_u34) | ( _u34 = empty_set) )).
% 0.18/0.46 cnf(matrix-40, plain, ( ~in(_u36, _u35) | ~empty(_u35) )).
% 0.18/0.46 cnf(matrix-41, plain, ( ~empty(_u38) | ( _u38 = _u37) | ~empty(_u37) )).
% 0.18/0.46
% 0.18/0.46 % Proof stack:
% 0.18/0.46 cnf(proof-stack, plain,
% 0.18/0.46 proof_stack(
% 0.18/0.46 start(40),
% 0.18/0.46 left_branch(0, 35, 2, 2),
% 0.18/0.46 left_branch(0, 21, 0, 3),
% 0.18/0.46 right_branch(3),
% 0.18/0.46 left_branch(0, 39, 0, 4),
% 0.18/0.46 left_branch(0, 38, 0, 5),
% 0.18/0.46 right_branch(5),
% 0.18/0.46 right_branch(4),
% 0.18/0.46 right_branch(2),
% 0.18/0.46 left_branch(0, 35, 1, 3),
% 0.18/0.46 left_branch(0, 21, 0, 4),
% 0.18/0.46 right_branch(4),
% 0.18/0.46 left_branch(0, 17, 1, 5),
% 0.18/0.46 left_branch(0, 36, 0, 6),
% 0.18/0.46 right_branch(6),
% 0.18/0.46 left_branch(0, 10, 0, 7),
% 0.18/0.46 left_branch(0, 37, 0, 8),
% 0.18/0.46 right_branch(8),
% 0.18/0.46 reduction(0, 1),
% 0.18/0.46 left_branch(0, 0, 0, 10),
% 0.18/0.46 right_branch(10),
% 0.18/0.46 right_branch(7),
% 0.18/0.46 right_branch(5),
% 0.18/0.46 right_branch(3)
% 0.18/0.46 )).
% 0.18/0.46 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------