TSTP Solution File: SEV515+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n008.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 14:36:01 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n008.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 : Wed Mar 20 15:19:28 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% 0.21/0.39
% 0.21/0.39 % Formula: nc1 ( conjecture ) (definitionally) converted to clauses:
% 0.21/0.39 cnf(nc1-1, negated_conjecture, ( ~g_true_only(_u0, skolem1) | ~_def0(_u0) )).
% 0.21/0.39 cnf(nc1-2, negated_conjecture, ( ~g_both(_u0, skolem1) | ~_def1(_u0) )).
% 0.21/0.39 cnf(nc1-3, negated_conjecture, ( ~g_false_only(_u0, skolem1) | ~_def2(_u0) )).
% 0.21/0.39 cnf(nc1-4, negated_conjecture, ( ~g_both(_u2, _u4) | ~g_both(_u2, _u2) | ~_def3(_u4) | ~_def4(_u4) | ~_def5(_u4) | ~_def6(_u5) | ~_def7(_u5) )).
% 0.21/0.39 cnf(nc1-5, negated_conjecture, ( _def0(_u0) | ~g_both(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-6, negated_conjecture, ( _def0(_u0) | ~g_true_only(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-7, negated_conjecture, ( _def1(_u0) | ~g_false_only(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-8, negated_conjecture, ( _def1(_u0) | ~g_true_only(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-9, negated_conjecture, ( _def2(_u0) | ~g_false_only(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-10, negated_conjecture, ( _def2(_u0) | ~g_both(_u0, _u0) )).
% 0.21/0.39 cnf(nc1-11, negated_conjecture, ( _def3(_u4) | g_true_only(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(nc1-12, negated_conjecture, ( _def3(_u4) | g_both(skolem2(_u4), skolem2(_u4)) | g_true_only(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(nc1-13, negated_conjecture, ( _def4(_u4) | g_both(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(nc1-14, negated_conjecture, ( _def4(_u4) | g_false_only(skolem2(_u4), skolem2(_u4)) | g_true_only(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(nc1-15, negated_conjecture, ( _def5(_u4) | g_false_only(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(nc1-16, negated_conjecture, ( _def5(_u4) | g_false_only(skolem2(_u4), skolem2(_u4)) | g_both(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(nc1-17, negated_conjecture, ( _def6(_u5) | g_true_only(_u5, skolem3) )).
% 0.21/0.39 cnf(nc1-18, negated_conjecture, ( _def6(_u5) | g_false_only(_u5, _u5) )).
% 0.21/0.39 cnf(nc1-19, negated_conjecture, ( _def7(_u5) | g_false_only(_u5, skolem3) )).
% 0.21/0.39 cnf(nc1-20, negated_conjecture, ( _def7(_u5) | g_true_only(_u5, _u5) )).
% 0.21/0.39
% 0.21/0.39 % Formula: true_only_g ( axiom ) converted to clauses:
% 0.21/0.39 cnf(true_only_g-1, axiom, ( ~g_true_only(_u11, _u9) | g_true(_u11, _u9) )).
% 0.21/0.39 cnf(true_only_g-2, axiom, ( ~g_true_only(_u11, _u9) | ~g_false(_u11, _u9) )).
% 0.21/0.39 cnf(true_only_g-3, axiom, ( ~g_true(_u12, _u10) | g_false(_u12, _u10) | g_true_only(_u12, _u10) )).
% 0.21/0.39
% 0.21/0.39 % Formula: both_g ( axiom ) converted to clauses:
% 0.21/0.39 cnf(both_g-1, axiom, ( ~g_both(_u17, _u15) | g_true(_u17, _u15) )).
% 0.21/0.39 cnf(both_g-2, axiom, ( ~g_both(_u17, _u15) | g_false(_u17, _u15) )).
% 0.21/0.39 cnf(both_g-3, axiom, ( ~g_true(_u18, _u16) | ~g_false(_u18, _u16) | g_both(_u18, _u16) )).
% 0.21/0.39
% 0.21/0.39 % Formula: false_only_g ( axiom ) converted to clauses:
% 0.21/0.39 cnf(false_only_g-1, axiom, ( ~g_false_only(_u23, _u21) | g_false(_u23, _u21) )).
% 0.21/0.39 cnf(false_only_g-2, axiom, ( ~g_false_only(_u23, _u21) | ~g_true(_u23, _u21) )).
% 0.21/0.39 cnf(false_only_g-3, axiom, ( ~g_false(_u24, _u22) | g_true(_u24, _u22) | g_false_only(_u24, _u22) )).
% 0.21/0.39
% 0.21/0.39 % Formula: exhaustion_g ( axiom ) converted to clauses:
% 0.21/0.39 cnf(exhaustion_g-1, axiom, ( g_true_only(_u26, _u25) | g_both(_u26, _u25) | g_false_only(_u26, _u25) )).
% 0.21/0.39
% 0.21/0.39 % Problem matrix:
% 0.21/0.39 cnf(matrix-0, plain, ( ~g_true_only(_u0, skolem1) | ~_def0(_u0) )).
% 0.21/0.39 cnf(matrix-1, plain, ( ~g_both(_u0, skolem1) | ~_def1(_u0) )).
% 0.21/0.39 cnf(matrix-2, plain, ( ~g_false_only(_u0, skolem1) | ~_def2(_u0) )).
% 0.21/0.39 cnf(matrix-3, plain, ( ~g_both(_u2, _u4) | ~g_both(_u2, _u2) | ~_def3(_u4) | ~_def4(_u4) | ~_def5(_u4) | ~_def6(_u5) | ~_def7(_u5) )).
% 0.21/0.39 cnf(matrix-4, plain, ( _def0(_u0) | ~g_both(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-5, plain, ( _def0(_u0) | ~g_true_only(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-6, plain, ( _def1(_u0) | ~g_false_only(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-7, plain, ( _def1(_u0) | ~g_true_only(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-8, plain, ( _def2(_u0) | ~g_false_only(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-9, plain, ( _def2(_u0) | ~g_both(_u0, _u0) )).
% 0.21/0.39 cnf(matrix-10, plain, ( _def3(_u4) | g_true_only(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(matrix-11, plain, ( _def3(_u4) | g_both(skolem2(_u4), skolem2(_u4)) | g_true_only(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(matrix-12, plain, ( _def4(_u4) | g_both(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(matrix-13, plain, ( _def4(_u4) | g_false_only(skolem2(_u4), skolem2(_u4)) | g_true_only(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(matrix-14, plain, ( _def5(_u4) | g_false_only(skolem2(_u4), _u4) )).
% 0.21/0.39 cnf(matrix-15, plain, ( _def5(_u4) | g_false_only(skolem2(_u4), skolem2(_u4)) | g_both(skolem2(_u4), skolem2(_u4)) )).
% 0.21/0.39 cnf(matrix-16, plain, ( _def6(_u5) | g_true_only(_u5, skolem3) )).
% 0.21/0.39 cnf(matrix-17, plain, ( _def6(_u5) | g_false_only(_u5, _u5) )).
% 0.21/0.39 cnf(matrix-18, plain, ( _def7(_u5) | g_false_only(_u5, skolem3) )).
% 0.21/0.39 cnf(matrix-19, plain, ( _def7(_u5) | g_true_only(_u5, _u5) )).
% 0.21/0.39 cnf(matrix-20, plain, ( ~g_true_only(_u11, _u9) | g_true(_u11, _u9) )).
% 0.21/0.39 cnf(matrix-21, plain, ( ~g_true_only(_u11, _u9) | ~g_false(_u11, _u9) )).
% 0.21/0.39 cnf(matrix-22, plain, ( ~g_true(_u12, _u10) | g_false(_u12, _u10) | g_true_only(_u12, _u10) )).
% 0.21/0.39 cnf(matrix-23, plain, ( ~g_both(_u17, _u15) | g_true(_u17, _u15) )).
% 0.21/0.39 cnf(matrix-24, plain, ( ~g_both(_u17, _u15) | g_false(_u17, _u15) )).
% 0.21/0.39 cnf(matrix-25, plain, ( ~g_true(_u18, _u16) | ~g_false(_u18, _u16) | g_both(_u18, _u16) )).
% 0.21/0.39 cnf(matrix-26, plain, ( ~g_false_only(_u23, _u21) | g_false(_u23, _u21) )).
% 0.21/0.39 cnf(matrix-27, plain, ( ~g_false_only(_u23, _u21) | ~g_true(_u23, _u21) )).
% 0.21/0.39 cnf(matrix-28, plain, ( ~g_false(_u24, _u22) | g_true(_u24, _u22) | g_false_only(_u24, _u22) )).
% 0.21/0.39 cnf(matrix-29, plain, ( g_true_only(_u26, _u25) | g_both(_u26, _u25) | g_false_only(_u26, _u25) )).
% 0.21/0.39
% 0.21/0.39 % Proof stack:
% 0.21/0.39 cnf(proof-stack, plain,
% 0.21/0.39 proof_stack(
% 0.21/0.39 start(3),
% 0.21/0.39 left_branch(0, 29, 1, 2),
% 0.21/0.39 left_branch(0, 5, 1, 3),
% 0.21/0.39 left_branch(0, 0, 1, 4),
% 0.21/0.39 reduction(0, 1),
% 0.21/0.39 right_branch(4),
% 0.21/0.39 right_branch(3),
% 0.21/0.39 left_branch(0, 8, 1, 4),
% 0.21/0.39 left_branch(0, 2, 1, 5),
% 0.21/0.39 reduction(0, 1),
% 0.21/0.39 right_branch(5),
% 0.21/0.39 right_branch(4),
% 0.21/0.39 right_branch(2),
% 0.21/0.39 left_branch(0, 19, 0, 3),
% 0.21/0.39 left_branch(0, 21, 0, 4),
% 0.21/0.39 left_branch(0, 26, 1, 5),
% 0.21/0.39 left_branch(0, 18, 1, 6),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(6),
% 0.21/0.39 right_branch(5),
% 0.21/0.39 right_branch(4),
% 0.21/0.39 right_branch(3),
% 0.21/0.39 left_branch(0, 17, 0, 4),
% 0.21/0.39 left_branch(0, 27, 0, 5),
% 0.21/0.39 left_branch(0, 20, 1, 6),
% 0.21/0.39 left_branch(0, 16, 1, 7),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(7),
% 0.21/0.39 right_branch(6),
% 0.21/0.39 right_branch(5),
% 0.21/0.39 right_branch(4),
% 0.21/0.39 left_branch(0, 15, 0, 5),
% 0.21/0.39 left_branch(0, 9, 1, 6),
% 0.21/0.39 left_branch(0, 2, 1, 7),
% 0.21/0.39 left_branch(0, 14, 1, 8),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(8),
% 0.21/0.39 right_branch(7),
% 0.21/0.39 right_branch(6),
% 0.21/0.39 left_branch(0, 8, 1, 7),
% 0.21/0.39 left_branch(0, 2, 1, 8),
% 0.21/0.39 left_branch(0, 14, 1, 9),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(9),
% 0.21/0.39 right_branch(8),
% 0.21/0.39 right_branch(7),
% 0.21/0.39 right_branch(5),
% 0.21/0.39 left_branch(0, 13, 0, 6),
% 0.21/0.39 left_branch(0, 7, 1, 7),
% 0.21/0.39 left_branch(0, 1, 1, 8),
% 0.21/0.39 left_branch(0, 12, 1, 9),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(9),
% 0.21/0.39 right_branch(8),
% 0.21/0.39 right_branch(7),
% 0.21/0.39 left_branch(0, 6, 1, 8),
% 0.21/0.39 left_branch(0, 1, 1, 9),
% 0.21/0.39 left_branch(0, 12, 1, 10),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(10),
% 0.21/0.39 right_branch(9),
% 0.21/0.39 right_branch(8),
% 0.21/0.39 right_branch(6),
% 0.21/0.39 left_branch(0, 11, 0, 7),
% 0.21/0.39 left_branch(0, 5, 1, 8),
% 0.21/0.39 left_branch(0, 0, 1, 9),
% 0.21/0.39 left_branch(0, 10, 1, 10),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(10),
% 0.21/0.39 right_branch(9),
% 0.21/0.39 right_branch(8),
% 0.21/0.39 left_branch(0, 4, 1, 9),
% 0.21/0.39 left_branch(0, 0, 1, 10),
% 0.21/0.39 left_branch(0, 10, 1, 11),
% 0.21/0.39 reduction(0, 0),
% 0.21/0.39 right_branch(11),
% 0.21/0.39 right_branch(10),
% 0.21/0.39 right_branch(9),
% 0.21/0.39 right_branch(7),
% 0.21/0.39 lemmata(0, 0)
% 0.21/0.39 )).
% 0.21/0.39 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------