TSTP Solution File: SET918+1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n026.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 09:20:00 EST 2024
% Result : Theorem 57.96s 58.12s
% Output : Proof 57.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n026.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 : Sun Mar 3 20:07:37 EST 2024
% 0.12/0.33 % CPUTime :
% 57.96/58.12 % SZS status Theorem for theBenchmark
% 57.96/58.12 % SZS output start Proof for theBenchmark
% 57.96/58.12
% 57.96/58.12 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 57.96/58.12 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 57.96/58.12
% 57.96/58.12 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 57.96/58.12 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 57.96/58.12
% 57.96/58.12 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 57.96/58.12 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u5, _u4) = set_intersection2(_u4, _u5)) )).
% 57.96/58.12
% 57.96/58.12 % Formula: d1_tarski ( axiom ) converted to clauses:
% 57.96/58.12 cnf(d1_tarski-1, axiom, ( ( _u14 != singleton(_u16)) | ~in(_u10, _u14) | ( _u10 = _u16) )).
% 57.96/58.12 cnf(d1_tarski-2, axiom, ( ( _u14 != singleton(_u16)) | ( _u11 != _u16) | in(_u11, _u14) )).
% 57.96/58.12 cnf(d1_tarski-3, axiom, ( ( _u15 = singleton(_u17)) | in(skolem1(_u17, _u15), _u15) | ( skolem2(_u17, _u15) = _u17) )).
% 57.96/58.12 cnf(d1_tarski-4, axiom, ( ( _u15 = singleton(_u17)) | in(skolem1(_u17, _u15), _u15) | ~in(skolem2(_u17, _u15), _u15) )).
% 57.96/58.12 cnf(d1_tarski-5, axiom, ( ( _u15 = singleton(_u17)) | ( skolem1(_u17, _u15) != _u17) | ( skolem2(_u17, _u15) = _u17) )).
% 57.96/58.12 cnf(d1_tarski-6, axiom, ( ( _u15 = singleton(_u17)) | ( skolem1(_u17, _u15) != _u17) | ~in(skolem2(_u17, _u15), _u15) )).
% 57.96/58.12
% 57.96/58.12 % Formula: d2_tarski ( axiom ) converted to clauses:
% 57.96/58.12 cnf(d2_tarski-1, axiom, ( ( _u27 != unordered_pair(_u31, _u29)) | ~in(_u23, _u27) | ( _u23 = _u31) | ( _u23 = _u29) )).
% 57.96/58.12 cnf(d2_tarski-2, axiom, ( ( _u27 != unordered_pair(_u31, _u29)) | in(_u24, _u27) | ( _u24 != _u31) )).
% 57.96/58.12 cnf(d2_tarski-3, axiom, ( ( _u27 != unordered_pair(_u31, _u29)) | in(_u24, _u27) | ( _u24 != _u29) )).
% 57.96/58.12 cnf(d2_tarski-4, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | in(skolem3(_u32, _u30, _u28), _u28) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) )).
% 57.96/58.12 cnf(d2_tarski-5, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | in(skolem3(_u32, _u30, _u28), _u28) | ~in(skolem4(_u32, _u30, _u28), _u28) )).
% 57.96/58.12 cnf(d2_tarski-6, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) | ( skolem3(_u32, _u30, _u28) != _u32) )).
% 57.96/58.12 cnf(d2_tarski-7, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) | ( skolem3(_u32, _u30, _u28) != _u30) )).
% 57.96/58.12 cnf(d2_tarski-8, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | ~in(skolem4(_u32, _u30, _u28), _u28) | ( skolem3(_u32, _u30, _u28) != _u32) )).
% 57.96/58.12 cnf(d2_tarski-9, axiom, ( ( _u28 = unordered_pair(_u32, _u30)) | ~in(skolem4(_u32, _u30, _u28), _u28) | ( skolem3(_u32, _u30, _u28) != _u30) )).
% 57.96/58.12
% 57.96/58.12 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 57.96/58.12 cnf(d3_xboole_0-1, axiom, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u38, _u42) | in(_u38, _u46) )).
% 57.96/58.12 cnf(d3_xboole_0-2, axiom, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u38, _u42) | in(_u38, _u44) )).
% 57.96/58.12 cnf(d3_xboole_0-3, axiom, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u39, _u46) | ~in(_u39, _u44) | in(_u39, _u42) )).
% 57.96/58.12 cnf(d3_xboole_0-4, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | in(skolem6(_u47, _u45, _u43), _u47) )).
% 57.96/58.12 cnf(d3_xboole_0-5, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | in(skolem6(_u47, _u45, _u43), _u45) )).
% 57.96/58.12 cnf(d3_xboole_0-6, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | ~in(skolem6(_u47, _u45, _u43), _u43) )).
% 57.96/58.12 cnf(d3_xboole_0-7, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | in(skolem6(_u47, _u45, _u43), _u47) )).
% 57.96/58.12 cnf(d3_xboole_0-8, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | in(skolem6(_u47, _u45, _u43), _u45) )).
% 57.96/58.12 cnf(d3_xboole_0-9, axiom, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | ~in(skolem6(_u47, _u45, _u43), _u43) )).
% 57.96/58.12
% 57.96/58.12 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 57.96/58.12 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u49, _u49) = _u49) )).
% 57.96/58.12
% 57.96/58.12 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 57.96/58.12 cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 57.96/58.12
% 57.96/58.12 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 57.96/58.12 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 57.96/58.12
% 57.96/58.12 % Formula: t59_zfmisc_1 ( conjecture ) converted to clauses:
% 57.96/58.12 cnf(t59_zfmisc_1-1, negated_conjecture, ( ( skolem9 != skolem10) )).
% 57.96/58.12 cnf(t59_zfmisc_1-2, negated_conjecture, ( ( set_intersection2(unordered_pair(skolem9, skolem10), skolem11) = singleton(skolem9)) )).
% 57.96/58.12 cnf(t59_zfmisc_1-3, negated_conjecture, ( in(skolem10, skolem11) )).
% 57.96/58.12
% 57.96/58.12 % Problem matrix:
% 57.96/58.12 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 57.96/58.12 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 57.96/58.12 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 57.96/58.12 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 57.96/58.12 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 57.96/58.12 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 57.96/58.12 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 57.96/58.12 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 57.96/58.12 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.96/58.12 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.96/58.12 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.96/58.12 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.96/58.12 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 57.96/58.12 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 57.96/58.12 cnf(matrix-14, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 57.96/58.12 cnf(matrix-15, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 57.96/58.12 cnf(matrix-16, plain, ( ( set_intersection2(_u5, _u4) = set_intersection2(_u4, _u5)) )).
% 57.96/58.12 cnf(matrix-17, plain, ( ( _u14 != singleton(_u16)) | ~in(_u10, _u14) | ( _u10 = _u16) )).
% 57.96/58.12 cnf(matrix-18, plain, ( ( _u14 != singleton(_u16)) | ( _u11 != _u16) | in(_u11, _u14) )).
% 57.96/58.12 cnf(matrix-19, plain, ( ( _u15 = singleton(_u17)) | in(skolem1(_u17, _u15), _u15) | ( skolem2(_u17, _u15) = _u17) )).
% 57.96/58.12 cnf(matrix-20, plain, ( ( _u15 = singleton(_u17)) | in(skolem1(_u17, _u15), _u15) | ~in(skolem2(_u17, _u15), _u15) )).
% 57.96/58.12 cnf(matrix-21, plain, ( ( _u15 = singleton(_u17)) | ( skolem1(_u17, _u15) != _u17) | ( skolem2(_u17, _u15) = _u17) )).
% 57.96/58.12 cnf(matrix-22, plain, ( ( _u15 = singleton(_u17)) | ( skolem1(_u17, _u15) != _u17) | ~in(skolem2(_u17, _u15), _u15) )).
% 57.96/58.12 cnf(matrix-23, plain, ( ( _u27 != unordered_pair(_u31, _u29)) | ~in(_u23, _u27) | ( _u23 = _u31) | ( _u23 = _u29) )).
% 57.96/58.12 cnf(matrix-24, plain, ( ( _u27 != unordered_pair(_u31, _u29)) | in(_u24, _u27) | ( _u24 != _u31) )).
% 57.96/58.12 cnf(matrix-25, plain, ( ( _u27 != unordered_pair(_u31, _u29)) | in(_u24, _u27) | ( _u24 != _u29) )).
% 57.96/58.12 cnf(matrix-26, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | in(skolem3(_u32, _u30, _u28), _u28) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) )).
% 57.96/58.12 cnf(matrix-27, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | in(skolem3(_u32, _u30, _u28), _u28) | ~in(skolem4(_u32, _u30, _u28), _u28) )).
% 57.96/58.12 cnf(matrix-28, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) | ( skolem3(_u32, _u30, _u28) != _u32) )).
% 57.96/58.12 cnf(matrix-29, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | ( skolem4(_u32, _u30, _u28) = _u32) | ( skolem4(_u32, _u30, _u28) = _u30) | ( skolem3(_u32, _u30, _u28) != _u30) )).
% 57.96/58.12 cnf(matrix-30, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | ~in(skolem4(_u32, _u30, _u28), _u28) | ( skolem3(_u32, _u30, _u28) != _u32) )).
% 57.96/58.12 cnf(matrix-31, plain, ( ( _u28 = unordered_pair(_u32, _u30)) | ~in(skolem4(_u32, _u30, _u28), _u28) | ( skolem3(_u32, _u30, _u28) != _u30) )).
% 57.96/58.12 cnf(matrix-32, plain, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u38, _u42) | in(_u38, _u46) )).
% 57.96/58.12 cnf(matrix-33, plain, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u38, _u42) | in(_u38, _u44) )).
% 57.96/58.12 cnf(matrix-34, plain, ( ( _u42 != set_intersection2(_u46, _u44)) | ~in(_u39, _u46) | ~in(_u39, _u44) | in(_u39, _u42) )).
% 57.96/58.12 cnf(matrix-35, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | in(skolem6(_u47, _u45, _u43), _u47) )).
% 57.96/58.12 cnf(matrix-36, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | in(skolem6(_u47, _u45, _u43), _u45) )).
% 57.96/58.12 cnf(matrix-37, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | in(skolem5(_u47, _u45, _u43), _u43) | ~in(skolem6(_u47, _u45, _u43), _u43) )).
% 57.96/58.12 cnf(matrix-38, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | in(skolem6(_u47, _u45, _u43), _u47) )).
% 57.96/58.12 cnf(matrix-39, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | in(skolem6(_u47, _u45, _u43), _u45) )).
% 57.96/58.12 cnf(matrix-40, plain, ( ( _u43 = set_intersection2(_u47, _u45)) | ~in(skolem5(_u47, _u45, _u43), _u47) | ~in(skolem5(_u47, _u45, _u43), _u45) | ~in(skolem6(_u47, _u45, _u43), _u43) )).
% 57.96/58.12 cnf(matrix-41, plain, ( ( set_intersection2(_u49, _u49) = _u49) )).
% 57.96/58.12 cnf(matrix-42, plain, ( empty(skolem7) )).
% 57.96/58.12 cnf(matrix-43, plain, ( ~empty(skolem8) )).
% 57.96/58.12 cnf(matrix-44, plain, ( ( skolem9 != skolem10) )).
% 57.96/58.12 cnf(matrix-45, plain, ( ( set_intersection2(unordered_pair(skolem9, skolem10), skolem11) = singleton(skolem9)) )).
% 57.96/58.12 cnf(matrix-46, plain, ( in(skolem10, skolem11) )).
% 57.96/58.12
% 57.96/58.12 % Proof stack:
% 57.96/58.12 cnf(proof-stack, plain,
% 57.96/58.12 proof_stack(
% 57.96/58.12 start(44),
% 57.96/58.12 left_branch(0, 1, 1, 2),
% 57.96/58.12 left_branch(0, 17, 2, 3),
% 57.96/58.12 left_branch(0, 45, 0, 4),
% 57.96/58.12 right_branch(4),
% 57.96/58.12 left_branch(0, 34, 3, 5),
% 57.96/58.12 left_branch(0, 16, 0, 6),
% 57.96/58.12 right_branch(6),
% 57.96/58.12 left_branch(0, 24, 1, 7),
% 57.96/58.12 left_branch(0, 15, 0, 8),
% 57.96/58.12 right_branch(8),
% 57.96/58.12 left_branch(0, 0, 0, 9),
% 57.96/58.12 right_branch(9),
% 57.96/58.12 right_branch(7),
% 57.96/58.12 left_branch(0, 46, 0, 8),
% 57.96/58.12 right_branch(8),
% 57.96/58.12 right_branch(5),
% 57.96/58.12 right_branch(3),
% 57.96/58.12 right_branch(2)
% 57.96/58.12 )).
% 57.96/58.12 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------