TSTP Solution File: SEU198+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU198+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 : n021.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 09:20:30 EST 2024
% Result : Theorem 0.21s 0.50s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n021.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 10:41:48 EST 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% 0.21/0.50
% 0.21/0.50 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.21/0.50 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.21/0.50
% 0.21/0.50 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(cc1_relat_1-1, axiom, ( ~empty(_u2) | relation(_u2) )).
% 0.21/0.50
% 0.21/0.50 % Formula: d3_tarski ( axiom ) converted to clauses:
% 0.21/0.50 cnf(d3_tarski-1, axiom, ( ~subset(_u9, _u7) | ~in(_u3, _u9) | in(_u3, _u7) )).
% 0.21/0.50 cnf(d3_tarski-2, axiom, ( subset(_u10, _u8) | in(skolem1(_u10, _u8), _u10) )).
% 0.21/0.50 cnf(d3_tarski-3, axiom, ( subset(_u10, _u8) | ~in(skolem1(_u10, _u8), _u8) )).
% 0.21/0.50
% 0.21/0.50 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.21/0.50
% 0.21/0.50 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.21/0.50
% 0.21/0.50 % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50
% 0.21/0.50 % Formula: dt_k8_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(dt_k8_relat_1-1, axiom, ( ~relation(_u11) | relation(relation_rng_restriction(_u12, _u11)) )).
% 0.21/0.50
% 0.21/0.50 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.21/0.50
% 0.21/0.50 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(existence_m1_subset_1-1, axiom, ( element(skolem2(_u14), _u14) )).
% 0.21/0.50
% 0.21/0.50 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u15)) )).
% 0.21/0.50
% 0.21/0.50 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.21/0.50
% 0.21/0.50 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.21/0.50 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.21/0.50
% 0.21/0.50 % Formula: fc6_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(fc6_relat_1-1, axiom, ( empty(_u16) | ~relation(_u16) | ~empty(relation_rng(_u16)) )).
% 0.21/0.50
% 0.21/0.50 % Formula: fc8_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(fc8_relat_1-1, axiom, ( ~empty(_u17) | empty(relation_rng(_u17)) )).
% 0.21/0.50 cnf(fc8_relat_1-2, axiom, ( ~empty(_u17) | relation(relation_rng(_u17)) )).
% 0.21/0.50
% 0.21/0.50 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.21/0.50 cnf(rc1_relat_1-1, axiom, ( empty(skolem3) )).
% 0.21/0.50 cnf(rc1_relat_1-2, axiom, ( relation(skolem3) )).
% 0.21/0.50
% 0.21/0.50 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(rc1_subset_1-1, axiom, ( empty(_u20) | element(skolem4(_u20), powerset(_u20)) )).
% 0.21/0.51 cnf(rc1_subset_1-2, axiom, ( empty(_u20) | ~empty(skolem4(_u20)) )).
% 0.21/0.51
% 0.21/0.51 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 0.21/0.51
% 0.21/0.51 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 0.21/0.51 cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 0.21/0.51
% 0.21/0.51 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(rc2_subset_1-1, axiom, ( element(skolem7(_u24), powerset(_u24)) )).
% 0.21/0.51 cnf(rc2_subset_1-2, axiom, ( empty(skolem7(_u24)) )).
% 0.21/0.51
% 0.21/0.51 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 0.21/0.51
% 0.21/0.51 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.21/0.51 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u27, _u27) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t115_relat_1 ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t115_relat_1-1, axiom, ( ~relation(_u28) | ~in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) | in(_u30, _u29) )).
% 0.21/0.51 cnf(t115_relat_1-2, axiom, ( ~relation(_u28) | ~in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) | in(_u30, relation_rng(_u28)) )).
% 0.21/0.51 cnf(t115_relat_1-3, axiom, ( ~relation(_u28) | ~in(_u30, _u29) | ~in(_u30, relation_rng(_u28)) | in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t116_relat_1 ( conjecture ) converted to clauses:
% 0.21/0.51 cnf(t116_relat_1-1, negated_conjecture, ( relation(skolem10) )).
% 0.21/0.51 cnf(t116_relat_1-2, negated_conjecture, ( ~subset(relation_rng(relation_rng_restriction(skolem9, skolem10)), skolem9) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t1_subset-1, axiom, ( ~in(_u34, _u33) | element(_u34, _u33) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t2_subset-1, axiom, ( ~element(_u36, _u35) | empty(_u35) | in(_u36, _u35) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t3_subset-1, axiom, ( ~element(_u41, powerset(_u39)) | subset(_u41, _u39) )).
% 0.21/0.51 cnf(t3_subset-2, axiom, ( ~subset(_u42, _u40) | element(_u42, powerset(_u40)) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t4_subset-1, axiom, ( ~in(_u45, _u44) | ~element(_u44, powerset(_u43)) | element(_u45, _u43) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t5_subset-1, axiom, ( ~in(_u48, _u47) | ~element(_u47, powerset(_u46)) | ~empty(_u46) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t6_boole-1, axiom, ( ~empty(_u49) | ( _u49 = empty_set) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t7_boole-1, axiom, ( ~in(_u51, _u50) | ~empty(_u50) )).
% 0.21/0.51
% 0.21/0.51 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.21/0.51 cnf(t8_boole-1, axiom, ( ~empty(_u53) | ( _u53 = _u52) | ~empty(_u52) )).
% 0.21/0.51
% 0.21/0.51 % Problem matrix:
% 0.21/0.51 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.21/0.51 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.21/0.51 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.21/0.51 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_rng_restriction(__eqx_0, __eqx_1) = relation_rng_restriction(__eqy_0, __eqy_1)) )).
% 0.21/0.51 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.21/0.51 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 0.21/0.51 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.21/0.51 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.21/0.51 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.21/0.51 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.21/0.51 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.21/0.51 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.21/0.51 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.21/0.51 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.21/0.51 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.21/0.51 cnf(matrix-15, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.21/0.51 cnf(matrix-16, plain, ( ~empty(_u2) | relation(_u2) )).
% 0.21/0.51 cnf(matrix-17, plain, ( ~subset(_u9, _u7) | ~in(_u3, _u9) | in(_u3, _u7) )).
% 0.21/0.51 cnf(matrix-18, plain, ( subset(_u10, _u8) | in(skolem1(_u10, _u8), _u10) )).
% 0.21/0.51 cnf(matrix-19, plain, ( subset(_u10, _u8) | ~in(skolem1(_u10, _u8), _u8) )).
% 0.21/0.51 cnf(matrix-20, plain, ( ~relation(_u11) | relation(relation_rng_restriction(_u12, _u11)) )).
% 0.21/0.51 cnf(matrix-21, plain, ( element(skolem2(_u14), _u14) )).
% 0.21/0.51 cnf(matrix-22, plain, ( ~empty(powerset(_u15)) )).
% 0.21/0.51 cnf(matrix-23, plain, ( empty(empty_set) )).
% 0.21/0.51 cnf(matrix-24, plain, ( empty(empty_set) )).
% 0.21/0.51 cnf(matrix-25, plain, ( relation(empty_set) )).
% 0.21/0.51 cnf(matrix-26, plain, ( empty(_u16) | ~relation(_u16) | ~empty(relation_rng(_u16)) )).
% 0.21/0.51 cnf(matrix-27, plain, ( ~empty(_u17) | empty(relation_rng(_u17)) )).
% 0.21/0.51 cnf(matrix-28, plain, ( ~empty(_u17) | relation(relation_rng(_u17)) )).
% 0.21/0.51 cnf(matrix-29, plain, ( empty(skolem3) )).
% 0.21/0.51 cnf(matrix-30, plain, ( relation(skolem3) )).
% 0.21/0.51 cnf(matrix-31, plain, ( empty(_u20) | element(skolem4(_u20), powerset(_u20)) )).
% 0.21/0.51 cnf(matrix-32, plain, ( empty(_u20) | ~empty(skolem4(_u20)) )).
% 0.21/0.51 cnf(matrix-33, plain, ( empty(skolem5) )).
% 0.21/0.51 cnf(matrix-34, plain, ( ~empty(skolem6) )).
% 0.21/0.51 cnf(matrix-35, plain, ( relation(skolem6) )).
% 0.21/0.51 cnf(matrix-36, plain, ( element(skolem7(_u24), powerset(_u24)) )).
% 0.21/0.51 cnf(matrix-37, plain, ( empty(skolem7(_u24)) )).
% 0.21/0.51 cnf(matrix-38, plain, ( ~empty(skolem8) )).
% 0.21/0.51 cnf(matrix-39, plain, ( subset(_u27, _u27) )).
% 0.21/0.51 cnf(matrix-40, plain, ( ~relation(_u28) | ~in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) | in(_u30, _u29) )).
% 0.21/0.51 cnf(matrix-41, plain, ( ~relation(_u28) | ~in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) | in(_u30, relation_rng(_u28)) )).
% 0.21/0.51 cnf(matrix-42, plain, ( ~relation(_u28) | ~in(_u30, _u29) | ~in(_u30, relation_rng(_u28)) | in(_u30, relation_rng(relation_rng_restriction(_u29, _u28))) )).
% 0.21/0.51 cnf(matrix-43, plain, ( relation(skolem10) )).
% 0.21/0.51 cnf(matrix-44, plain, ( ~subset(relation_rng(relation_rng_restriction(skolem9, skolem10)), skolem9) )).
% 0.21/0.51 cnf(matrix-45, plain, ( ~in(_u34, _u33) | element(_u34, _u33) )).
% 0.21/0.51 cnf(matrix-46, plain, ( ~element(_u36, _u35) | empty(_u35) | in(_u36, _u35) )).
% 0.21/0.51 cnf(matrix-47, plain, ( ~element(_u41, powerset(_u39)) | subset(_u41, _u39) )).
% 0.21/0.51 cnf(matrix-48, plain, ( ~subset(_u42, _u40) | element(_u42, powerset(_u40)) )).
% 0.21/0.51 cnf(matrix-49, plain, ( ~in(_u45, _u44) | ~element(_u44, powerset(_u43)) | element(_u45, _u43) )).
% 0.21/0.51 cnf(matrix-50, plain, ( ~in(_u48, _u47) | ~element(_u47, powerset(_u46)) | ~empty(_u46) )).
% 0.21/0.51 cnf(matrix-51, plain, ( ~empty(_u49) | ( _u49 = empty_set) )).
% 0.21/0.51 cnf(matrix-52, plain, ( ~in(_u51, _u50) | ~empty(_u50) )).
% 0.21/0.51 cnf(matrix-53, plain, ( ~empty(_u53) | ( _u53 = _u52) | ~empty(_u52) )).
% 0.21/0.51
% 0.21/0.51 % Proof stack:
% 0.21/0.51 cnf(proof-stack, plain,
% 0.21/0.51 proof_stack(
% 0.21/0.51 start(44),
% 0.21/0.51 left_branch(0, 19, 0, 2),
% 0.21/0.51 left_branch(0, 40, 2, 3),
% 0.21/0.51 left_branch(0, 43, 0, 4),
% 0.21/0.51 right_branch(4),
% 0.21/0.51 left_branch(0, 18, 1, 5),
% 0.21/0.51 reduction(0, 0),
% 0.21/0.51 right_branch(5),
% 0.21/0.51 right_branch(3),
% 0.21/0.51 right_branch(2)
% 0.21/0.51 )).
% 0.21/0.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------