TSTP Solution File: SEU355+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU355+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 : n024.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 09:20:55 EST 2024
% Result : Theorem 0.14s 0.36s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n024.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 : Sun Mar 3 10:19:36 EST 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% 0.14/0.36
% 0.14/0.36 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.14/0.36 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.36
% 0.14/0.36 % Formula: cc1_finset_1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(cc1_finset_1-1, axiom, ( ~empty(_u2) | finite(_u2) )).
% 0.14/0.36
% 0.14/0.36 % Formula: d8_lattice3 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(d8_lattice3-1, axiom, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | ~relstr_element_smaller(_u7, _u6, _u5) | ~element(_u3, the_carrier(_u7)) | ~in(_u3, _u6) | related(_u7, _u5, _u3) )).
% 0.14/0.36 cnf(d8_lattice3-2, axiom, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | element(skolem1(_u7, _u6, _u5), the_carrier(_u7)) )).
% 0.14/0.36 cnf(d8_lattice3-3, axiom, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | in(skolem1(_u7, _u6, _u5), _u6) )).
% 0.14/0.36 cnf(d8_lattice3-4, axiom, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | ~related(_u7, _u5, skolem1(_u7, _u6, _u5)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: d9_lattice3 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(d9_lattice3-1, axiom, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | ~relstr_set_smaller(_u12, _u11, _u10) | ~element(_u8, the_carrier(_u12)) | ~in(_u8, _u11) | related(_u12, _u8, _u10) )).
% 0.14/0.36 cnf(d9_lattice3-2, axiom, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | element(skolem2(_u12, _u11, _u10), the_carrier(_u12)) )).
% 0.14/0.36 cnf(d9_lattice3-3, axiom, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | in(skolem2(_u12, _u11, _u10), _u11) )).
% 0.14/0.36 cnf(d9_lattice3-4, axiom, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | ~related(_u12, skolem2(_u12, _u11, _u10), _u10) )).
% 0.14/0.36
% 0.14/0.36 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.36
% 0.14/0.36 % Formula: dt_l1_orders_2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(dt_l1_orders_2-1, axiom, ( ~rel_str(_u13) | one_sorted_str(_u13) )).
% 0.14/0.36
% 0.14/0.36 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 0.14/0.36
% 0.14/0.36 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.36
% 0.14/0.36 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 0.14/0.36
% 0.14/0.36 % Formula: existence_l1_orders_2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(existence_l1_orders_2-1, axiom, ( rel_str(skolem3) )).
% 0.14/0.36
% 0.14/0.36 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem4) )).
% 0.14/0.36
% 0.14/0.36 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(existence_m1_subset_1-1, axiom, ( element(skolem5(_u17), _u17) )).
% 0.14/0.36
% 0.14/0.36 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.14/0.36
% 0.14/0.36 % Formula: rc1_finset_1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(rc1_finset_1-1, axiom, ( ~empty(skolem6) )).
% 0.14/0.36 cnf(rc1_finset_1-2, axiom, ( finite(skolem6) )).
% 0.14/0.36
% 0.14/0.36 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 0.14/0.36
% 0.14/0.36 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.14/0.37 cnf(t1_subset-1, axiom, ( ~in(_u22, _u21) | element(_u22, _u21) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.14/0.37 cnf(t2_subset-1, axiom, ( ~element(_u24, _u23) | empty(_u23) | in(_u24, _u23) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.14/0.37 cnf(t6_boole-1, axiom, ( ~empty(_u25) | ( _u25 = empty_set) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t6_yellow_0 ( conjecture ) converted to clauses:
% 0.14/0.37 cnf(t6_yellow_0-1, negated_conjecture, ( rel_str(skolem9) )).
% 0.14/0.37 cnf(t6_yellow_0-2, negated_conjecture, ( element(skolem10, the_carrier(skolem9)) )).
% 0.14/0.37 cnf(t6_yellow_0-3, negated_conjecture, ( ~relstr_set_smaller(skolem9, empty_set, skolem10) | ~relstr_element_smaller(skolem9, empty_set, skolem10) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.14/0.37 cnf(t7_boole-1, axiom, ( ~in(_u29, _u28) | ~empty(_u28) )).
% 0.14/0.37
% 0.14/0.37 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.14/0.37 cnf(t8_boole-1, axiom, ( ~empty(_u31) | ( _u31 = _u30) | ~empty(_u30) )).
% 0.14/0.37
% 0.14/0.37 % Problem matrix:
% 0.14/0.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.14/0.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.14/0.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.14/0.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 0.14/0.37 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)) )).
% 0.14/0.37 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)) )).
% 0.14/0.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.14/0.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.14/0.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.14/0.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~finite(__eqx_0) | finite(__eqy_0) )).
% 0.14/0.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~rel_str(__eqx_0) | rel_str(__eqy_0) )).
% 0.14/0.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.14/0.37 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relstr_element_smaller(__eqx_0, __eqx_1, __eqx_2) | relstr_element_smaller(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.37 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~related(__eqx_0, __eqx_1, __eqx_2) | related(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relstr_set_smaller(__eqx_0, __eqx_1, __eqx_2) | relstr_set_smaller(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.37 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 0.14/0.37 cnf(matrix-16, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.37 cnf(matrix-17, plain, ( ~empty(_u2) | finite(_u2) )).
% 0.14/0.37 cnf(matrix-18, plain, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | ~relstr_element_smaller(_u7, _u6, _u5) | ~element(_u3, the_carrier(_u7)) | ~in(_u3, _u6) | related(_u7, _u5, _u3) )).
% 0.14/0.37 cnf(matrix-19, plain, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | element(skolem1(_u7, _u6, _u5), the_carrier(_u7)) )).
% 0.14/0.37 cnf(matrix-20, plain, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | in(skolem1(_u7, _u6, _u5), _u6) )).
% 0.14/0.37 cnf(matrix-21, plain, ( ~rel_str(_u7) | ~element(_u5, the_carrier(_u7)) | relstr_element_smaller(_u7, _u6, _u5) | ~related(_u7, _u5, skolem1(_u7, _u6, _u5)) )).
% 0.14/0.37 cnf(matrix-22, plain, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | ~relstr_set_smaller(_u12, _u11, _u10) | ~element(_u8, the_carrier(_u12)) | ~in(_u8, _u11) | related(_u12, _u8, _u10) )).
% 0.14/0.37 cnf(matrix-23, plain, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | element(skolem2(_u12, _u11, _u10), the_carrier(_u12)) )).
% 0.14/0.37 cnf(matrix-24, plain, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | in(skolem2(_u12, _u11, _u10), _u11) )).
% 0.14/0.37 cnf(matrix-25, plain, ( ~rel_str(_u12) | ~element(_u10, the_carrier(_u12)) | relstr_set_smaller(_u12, _u11, _u10) | ~related(_u12, skolem2(_u12, _u11, _u10), _u10) )).
% 0.14/0.37 cnf(matrix-26, plain, ( ~rel_str(_u13) | one_sorted_str(_u13) )).
% 0.14/0.37 cnf(matrix-27, plain, ( rel_str(skolem3) )).
% 0.14/0.37 cnf(matrix-28, plain, ( one_sorted_str(skolem4) )).
% 0.14/0.37 cnf(matrix-29, plain, ( element(skolem5(_u17), _u17) )).
% 0.14/0.37 cnf(matrix-30, plain, ( empty(empty_set) )).
% 0.14/0.37 cnf(matrix-31, plain, ( ~empty(skolem6) )).
% 0.14/0.37 cnf(matrix-32, plain, ( finite(skolem6) )).
% 0.14/0.37 cnf(matrix-33, plain, ( empty(skolem7) )).
% 0.14/0.37 cnf(matrix-34, plain, ( ~empty(skolem8) )).
% 0.14/0.37 cnf(matrix-35, plain, ( ~in(_u22, _u21) | element(_u22, _u21) )).
% 0.14/0.37 cnf(matrix-36, plain, ( ~element(_u24, _u23) | empty(_u23) | in(_u24, _u23) )).
% 0.14/0.37 cnf(matrix-37, plain, ( ~empty(_u25) | ( _u25 = empty_set) )).
% 0.14/0.37 cnf(matrix-38, plain, ( rel_str(skolem9) )).
% 0.14/0.37 cnf(matrix-39, plain, ( element(skolem10, the_carrier(skolem9)) )).
% 0.14/0.37 cnf(matrix-40, plain, ( ~relstr_set_smaller(skolem9, empty_set, skolem10) | ~relstr_element_smaller(skolem9, empty_set, skolem10) )).
% 0.14/0.37 cnf(matrix-41, plain, ( ~in(_u29, _u28) | ~empty(_u28) )).
% 0.14/0.37 cnf(matrix-42, plain, ( ~empty(_u31) | ( _u31 = _u30) | ~empty(_u30) )).
% 0.14/0.37
% 0.14/0.37 % Proof stack:
% 0.14/0.37 cnf(proof-stack, plain,
% 0.14/0.37 proof_stack(
% 0.14/0.37 start(40),
% 0.14/0.37 left_branch(0, 24, 2, 2),
% 0.14/0.37 left_branch(0, 38, 0, 3),
% 0.14/0.37 right_branch(3),
% 0.14/0.37 left_branch(0, 41, 0, 4),
% 0.14/0.37 left_branch(0, 30, 0, 5),
% 0.14/0.37 right_branch(5),
% 0.14/0.37 right_branch(4),
% 0.14/0.37 left_branch(0, 39, 0, 5),
% 0.14/0.37 right_branch(5),
% 0.14/0.37 right_branch(2),
% 0.14/0.37 left_branch(0, 20, 2, 3),
% 0.14/0.37 left_branch(0, 38, 0, 4),
% 0.14/0.37 right_branch(4),
% 0.14/0.37 left_branch(0, 41, 0, 5),
% 0.14/0.37 left_branch(0, 30, 0, 6),
% 0.14/0.37 right_branch(6),
% 0.14/0.37 right_branch(5),
% 0.14/0.37 left_branch(0, 39, 0, 6),
% 0.14/0.37 right_branch(6),
% 0.14/0.37 right_branch(3)
% 0.14/0.37 )).
% 0.14/0.37 % SZS output end Proof for theBenchmark
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