TSTP Solution File: SEU125+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU125+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 : n016.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 : Wed Mar 6 09:20:16 EST 2024
% Result : Theorem 0.62s 0.82s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU125+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n016.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 : Sun Mar 3 11:08:13 EST 2024
% 0.13/0.34 % CPUTime :
% 0.62/0.82 % SZS status Theorem for theBenchmark
% 0.62/0.82 % SZS output start Proof for theBenchmark
% 0.62/0.82
% 0.62/0.82 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.62/0.82 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.62/0.82
% 0.62/0.82 % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u3, _u2) = set_union2(_u2, _u3)) )).
% 0.62/0.82
% 0.62/0.82 % Formula: d2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(d2_xboole_0-1, axiom, ( ( _u13 != set_union2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) | in(_u9, _u15) )).
% 0.62/0.82 cnf(d2_xboole_0-2, axiom, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u17) )).
% 0.62/0.82 cnf(d2_xboole_0-3, axiom, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u15) )).
% 0.62/0.82 cnf(d2_xboole_0-4, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.62/0.82 cnf(d2_xboole_0-5, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.62/0.82 cnf(d2_xboole_0-6, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 0.62/0.82 cnf(d2_xboole_0-7, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 0.62/0.82 cnf(d2_xboole_0-8, axiom, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 0.62/0.82 cnf(d2_xboole_0-9, axiom, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 0.62/0.82
% 0.62/0.82 % Formula: d3_tarski ( axiom ) converted to clauses:
% 0.62/0.82 cnf(d3_tarski-1, axiom, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 0.62/0.82 cnf(d3_tarski-2, axiom, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 0.62/0.82 cnf(d3_tarski-3, axiom, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 0.62/0.82
% 0.62/0.82 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82
% 0.62/0.82 % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82
% 0.62/0.82 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.62/0.82
% 0.62/0.82 % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(fc2_xboole_0-1, axiom, ( empty(_u28) | ~empty(set_union2(_u28, _u27)) )).
% 0.62/0.82
% 0.62/0.82 % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(fc3_xboole_0-1, axiom, ( empty(_u30) | ~empty(set_union2(_u29, _u30)) )).
% 0.62/0.82
% 0.62/0.82 % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u32, _u32) = _u32) )).
% 0.62/0.82
% 0.62/0.82 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(rc1_xboole_0-1, axiom, ( empty(skolem4) )).
% 0.62/0.82
% 0.62/0.82 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.62/0.82 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem5) )).
% 0.62/0.82
% 0.62/0.82 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.62/0.82 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u36, _u36) )).
% 0.62/0.82
% 0.62/0.82 % Formula: t1_boole ( axiom ) converted to clauses:
% 0.62/0.82 cnf(t1_boole-1, axiom, ( ( set_union2(_u37, empty_set) = _u37) )).
% 0.62/0.82
% 0.62/0.82 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.62/0.82 cnf(t6_boole-1, axiom, ( ~empty(_u38) | ( _u38 = empty_set) )).
% 0.62/0.82
% 0.62/0.82 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.62/0.82 cnf(t7_boole-1, axiom, ( ~in(_u40, _u39) | ~empty(_u39) )).
% 0.62/0.82
% 0.62/0.82 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.62/0.82 cnf(t8_boole-1, axiom, ( ~empty(_u42) | ( _u42 = _u41) | ~empty(_u41) )).
% 0.62/0.82
% 0.62/0.82 % Formula: t8_xboole_1 ( conjecture ) converted to clauses:
% 0.62/0.82 cnf(t8_xboole_1-1, negated_conjecture, ( subset(skolem6, skolem7) )).
% 0.62/0.82 cnf(t8_xboole_1-2, negated_conjecture, ( subset(skolem8, skolem7) )).
% 0.62/0.82 cnf(t8_xboole_1-3, negated_conjecture, ( ~subset(set_union2(skolem6, skolem8), skolem7) )).
% 0.62/0.82
% 0.62/0.82 % Problem matrix:
% 0.62/0.82 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.62/0.82 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.62/0.82 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.62/0.82 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 0.62/0.82 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.62/0.82 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.62/0.82 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.62/0.82 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.62/0.82 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.62/0.82 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.62/0.82 cnf(matrix-10, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.62/0.82 cnf(matrix-11, plain, ( ( set_union2(_u3, _u2) = set_union2(_u2, _u3)) )).
% 0.62/0.82 cnf(matrix-12, plain, ( ( _u13 != set_union2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) | in(_u9, _u15) )).
% 0.62/0.82 cnf(matrix-13, plain, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u17) )).
% 0.62/0.82 cnf(matrix-14, plain, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u15) )).
% 0.62/0.82 cnf(matrix-15, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.62/0.82 cnf(matrix-16, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.62/0.82 cnf(matrix-17, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 0.62/0.82 cnf(matrix-18, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 0.62/0.82 cnf(matrix-19, plain, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 0.62/0.82 cnf(matrix-20, plain, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 0.62/0.82 cnf(matrix-21, plain, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 0.62/0.82 cnf(matrix-22, plain, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 0.62/0.82 cnf(matrix-23, plain, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 0.62/0.82 cnf(matrix-24, plain, ( empty(empty_set) )).
% 0.62/0.82 cnf(matrix-25, plain, ( empty(_u28) | ~empty(set_union2(_u28, _u27)) )).
% 0.62/0.82 cnf(matrix-26, plain, ( empty(_u30) | ~empty(set_union2(_u29, _u30)) )).
% 0.62/0.82 cnf(matrix-27, plain, ( ( set_union2(_u32, _u32) = _u32) )).
% 0.62/0.82 cnf(matrix-28, plain, ( empty(skolem4) )).
% 0.62/0.82 cnf(matrix-29, plain, ( ~empty(skolem5) )).
% 0.62/0.82 cnf(matrix-30, plain, ( subset(_u36, _u36) )).
% 0.62/0.82 cnf(matrix-31, plain, ( ( set_union2(_u37, empty_set) = _u37) )).
% 0.62/0.82 cnf(matrix-32, plain, ( ~empty(_u38) | ( _u38 = empty_set) )).
% 0.62/0.82 cnf(matrix-33, plain, ( ~in(_u40, _u39) | ~empty(_u39) )).
% 0.62/0.82 cnf(matrix-34, plain, ( ~empty(_u42) | ( _u42 = _u41) | ~empty(_u41) )).
% 0.62/0.82 cnf(matrix-35, plain, ( subset(skolem6, skolem7) )).
% 0.62/0.82 cnf(matrix-36, plain, ( subset(skolem8, skolem7) )).
% 0.62/0.82 cnf(matrix-37, plain, ( ~subset(set_union2(skolem6, skolem8), skolem7) )).
% 0.62/0.82
% 0.62/0.82 % Proof stack:
% 0.62/0.82 cnf(proof-stack, plain,
% 0.62/0.82 proof_stack(
% 0.62/0.82 start(37),
% 0.62/0.82 left_branch(0, 22, 0, 2),
% 0.62/0.82 left_branch(0, 12, 1, 3),
% 0.62/0.82 left_branch(0, 11, 0, 4),
% 0.62/0.82 right_branch(4),
% 0.62/0.82 left_branch(0, 21, 1, 5),
% 0.62/0.82 left_branch(0, 36, 0, 6),
% 0.62/0.82 right_branch(6),
% 0.62/0.82 left_branch(0, 23, 1, 7),
% 0.62/0.82 reduction(0, 0),
% 0.62/0.82 right_branch(7),
% 0.62/0.82 right_branch(5),
% 0.62/0.82 left_branch(0, 21, 1, 6),
% 0.62/0.82 left_branch(0, 35, 0, 7),
% 0.62/0.82 right_branch(7),
% 0.62/0.82 left_branch(0, 23, 1, 8),
% 0.62/0.82 reduction(0, 0),
% 0.62/0.82 right_branch(8),
% 0.62/0.82 right_branch(6),
% 0.62/0.82 right_branch(3),
% 0.62/0.82 right_branch(2)
% 0.62/0.82 )).
% 0.62/0.82 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------