TSTP Solution File: SYN549+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n027.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 14:43:04 EDT 2024
% Result : Theorem 8.55s 8.74s
% Output : Proof 8.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n027.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 : Wed Mar 20 23:17:00 EDT 2024
% 0.13/0.34 % CPUTime :
% 8.55/8.74 % SZS status Theorem for theBenchmark
% 8.55/8.74 % SZS output start Proof for theBenchmark
% 8.55/8.74
% 8.55/8.74 % Formula: reflexivity_of_reachable ( axiom ) converted to clauses:
% 8.55/8.74 cnf(reflexivity_of_reachable-1, axiom, ( reachable(_u0, _u0) )).
% 8.55/8.74
% 8.55/8.74 % Formula: transitivity_of_reachable ( axiom ) converted to clauses:
% 8.55/8.74 cnf(transitivity_of_reachable-1, axiom, ( ~reachable(_u3, _u2) | ~reachable(_u2, _u1) | reachable(_u3, _u1) )).
% 8.55/8.74
% 8.55/8.74 % Formula: prove_this ( conjecture ) (definitionally) converted to clauses:
% 8.55/8.74 cnf(prove_this-1, negated_conjecture, ( ~reachable(initial_world, _u13) | ~_def6(_u13, _u7, _u6, _u11, _u10) )).
% 8.55/8.74 cnf(prove_this-2, negated_conjecture, ( _def6(_u13, _u7, _u6, _u11, _u10) | reachable(_u13, skolem1(_u13)) )).
% 8.55/8.74 cnf(prove_this-3, negated_conjecture, ( _def6(_u13, _u7, _u6, _u11, _u10) | ~_def1(_u13, _u7, _u6) | ~_def5(_u13, _u11, _u10) )).
% 8.55/8.74 cnf(prove_this-4, negated_conjecture, ( _def1(_u13, _u7, _u6) | reachable(skolem1(_u13), skolem2(_u13)) )).
% 8.55/8.74 cnf(prove_this-5, negated_conjecture, ( _def1(_u13, _u7, _u6) | p(skolem2(_u13)) | ~_def0(_u13) )).
% 8.55/8.74 cnf(prove_this-6, negated_conjecture, ( _def1(_u13, _u7, _u6) | ~reachable(skolem1(_u13), _u6) | ~p(_u6) )).
% 8.55/8.74 cnf(prove_this-7, negated_conjecture, ( _def1(_u13, _u7, _u6) | ~reachable(skolem1(_u13), _u7) | ~q(_u7) )).
% 8.55/8.74 cnf(prove_this-8, negated_conjecture, ( _def0(_u13) | reachable(skolem2(_u13), skolem3(_u13)) )).
% 8.55/8.74 cnf(prove_this-9, negated_conjecture, ( _def0(_u13) | q(skolem3(_u13)) )).
% 8.55/8.74 cnf(prove_this-10, negated_conjecture, ( _def5(_u13, _u11, _u10) | ~_def2(_u13) | ~_def3(_u13) )).
% 8.55/8.74 cnf(prove_this-11, negated_conjecture, ( _def5(_u13, _u11, _u10) | ~reachable(skolem1(_u13), _u11) | ~_def4(_u11, _u10) )).
% 8.55/8.74 cnf(prove_this-12, negated_conjecture, ( _def2(_u13) | reachable(skolem1(_u13), skolem4(_u13)) )).
% 8.55/8.74 cnf(prove_this-13, negated_conjecture, ( _def2(_u13) | p(skolem4(_u13)) )).
% 8.55/8.74 cnf(prove_this-14, negated_conjecture, ( _def3(_u13) | reachable(skolem1(_u13), skolem5(_u13)) )).
% 8.55/8.74 cnf(prove_this-15, negated_conjecture, ( _def3(_u13) | q(skolem5(_u13)) )).
% 8.55/8.74 cnf(prove_this-16, negated_conjecture, ( _def4(_u11, _u10) | ~p(_u11) )).
% 8.55/8.74 cnf(prove_this-17, negated_conjecture, ( _def4(_u11, _u10) | ~reachable(_u11, _u10) | ~q(_u10) )).
% 8.55/8.74
% 8.55/8.74 % Problem matrix:
% 8.55/8.74 cnf(matrix-0, plain, ( reachable(_u0, _u0) )).
% 8.55/8.74 cnf(matrix-1, plain, ( ~reachable(_u3, _u2) | ~reachable(_u2, _u1) | reachable(_u3, _u1) )).
% 8.55/8.74 cnf(matrix-2, plain, ( ~reachable(initial_world, _u13) | ~_def6(_u13, _u7, _u6, _u11, _u10) )).
% 8.55/8.74 cnf(matrix-3, plain, ( _def6(_u13, _u7, _u6, _u11, _u10) | reachable(_u13, skolem1(_u13)) )).
% 8.55/8.74 cnf(matrix-4, plain, ( _def6(_u13, _u7, _u6, _u11, _u10) | ~_def1(_u13, _u7, _u6) | ~_def5(_u13, _u11, _u10) )).
% 8.55/8.74 cnf(matrix-5, plain, ( _def1(_u13, _u7, _u6) | reachable(skolem1(_u13), skolem2(_u13)) )).
% 8.55/8.74 cnf(matrix-6, plain, ( _def1(_u13, _u7, _u6) | p(skolem2(_u13)) | ~_def0(_u13) )).
% 8.55/8.74 cnf(matrix-7, plain, ( _def1(_u13, _u7, _u6) | ~reachable(skolem1(_u13), _u6) | ~p(_u6) )).
% 8.55/8.74 cnf(matrix-8, plain, ( _def1(_u13, _u7, _u6) | ~reachable(skolem1(_u13), _u7) | ~q(_u7) )).
% 8.55/8.74 cnf(matrix-9, plain, ( _def0(_u13) | reachable(skolem2(_u13), skolem3(_u13)) )).
% 8.55/8.74 cnf(matrix-10, plain, ( _def0(_u13) | q(skolem3(_u13)) )).
% 8.55/8.74 cnf(matrix-11, plain, ( _def5(_u13, _u11, _u10) | ~_def2(_u13) | ~_def3(_u13) )).
% 8.55/8.74 cnf(matrix-12, plain, ( _def5(_u13, _u11, _u10) | ~reachable(skolem1(_u13), _u11) | ~_def4(_u11, _u10) )).
% 8.55/8.74 cnf(matrix-13, plain, ( _def2(_u13) | reachable(skolem1(_u13), skolem4(_u13)) )).
% 8.55/8.74 cnf(matrix-14, plain, ( _def2(_u13) | p(skolem4(_u13)) )).
% 8.55/8.74 cnf(matrix-15, plain, ( _def3(_u13) | reachable(skolem1(_u13), skolem5(_u13)) )).
% 8.55/8.74 cnf(matrix-16, plain, ( _def3(_u13) | q(skolem5(_u13)) )).
% 8.55/8.74 cnf(matrix-17, plain, ( _def4(_u11, _u10) | ~p(_u11) )).
% 8.55/8.74 cnf(matrix-18, plain, ( _def4(_u11, _u10) | ~reachable(_u11, _u10) | ~q(_u10) )).
% 8.55/8.74
% 8.55/8.74 % Proof stack:
% 8.55/8.74 cnf(proof-stack, plain,
% 8.55/8.74 proof_stack(
% 8.55/8.74 start(2),
% 8.55/8.74 left_branch(0, 3, 1, 2),
% 8.55/8.74 left_branch(0, 2, 1, 3),
% 8.55/8.74 left_branch(0, 0, 0, 4),
% 8.55/8.74 right_branch(4),
% 8.55/8.74 right_branch(3),
% 8.55/8.74 right_branch(2),
% 8.55/8.74 left_branch(0, 4, 0, 3),
% 8.55/8.74 left_branch(0, 11, 0, 4),
% 8.55/8.74 left_branch(0, 16, 0, 5),
% 8.55/8.74 left_branch(0, 18, 2, 6),
% 8.55/8.74 left_branch(0, 12, 2, 7),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 left_branch(0, 15, 1, 9),
% 8.55/8.74 reduction(0, 2),
% 8.55/8.74 right_branch(9),
% 8.55/8.74 right_branch(7),
% 8.55/8.74 left_branch(0, 0, 0, 8),
% 8.55/8.74 right_branch(8),
% 8.55/8.74 right_branch(6),
% 8.55/8.74 right_branch(5),
% 8.55/8.74 left_branch(0, 13, 0, 6),
% 8.55/8.74 left_branch(0, 12, 1, 7),
% 8.55/8.74 left_branch(0, 4, 2, 8),
% 8.55/8.74 left_branch(0, 2, 1, 9),
% 8.55/8.74 lemmata(0, 0),
% 8.55/8.74 right_branch(9),
% 8.55/8.74 left_branch(0, 7, 0, 10),
% 8.55/8.74 left_branch(0, 14, 1, 11),
% 8.55/8.74 reduction(0, 2),
% 8.55/8.74 right_branch(11),
% 8.55/8.74 reduction(0, 3),
% 8.55/8.74 right_branch(10),
% 8.55/8.74 right_branch(8),
% 8.55/8.74 left_branch(0, 17, 0, 9),
% 8.55/8.74 left_branch(0, 14, 1, 10),
% 8.55/8.74 reduction(0, 2),
% 8.55/8.74 right_branch(10),
% 8.55/8.74 right_branch(9),
% 8.55/8.74 right_branch(7),
% 8.55/8.74 right_branch(6),
% 8.55/8.74 right_branch(4),
% 8.55/8.74 left_branch(0, 8, 0, 5),
% 8.55/8.74 left_branch(0, 10, 1, 6),
% 8.55/8.74 left_branch(0, 6, 2, 7),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 left_branch(0, 7, 2, 9),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 left_branch(0, 5, 1, 11),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 right_branch(11),
% 8.55/8.74 right_branch(9),
% 8.55/8.74 right_branch(7),
% 8.55/8.74 right_branch(6),
% 8.55/8.74 left_branch(0, 1, 2, 7),
% 8.55/8.74 left_branch(0, 5, 1, 8),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 right_branch(8),
% 8.55/8.74 left_branch(0, 9, 1, 9),
% 8.55/8.74 left_branch(0, 6, 2, 10),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 left_branch(0, 7, 2, 12),
% 8.55/8.74 reduction(0, 1),
% 8.55/8.74 lemmata(0, 3),
% 8.55/8.74 right_branch(12),
% 8.55/8.74 right_branch(10),
% 8.55/8.74 right_branch(9),
% 8.55/8.74 right_branch(7),
% 8.55/8.74 right_branch(5),
% 8.55/8.74 right_branch(3)
% 8.55/8.74 )).
% 8.55/8.74 % SZS output end Proof for theBenchmark
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