TSTP Solution File: SYN084+1 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n006.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 14:41:49 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n006.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 : Wed Mar 20 22:30:29 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% 0.12/0.34
% 0.12/0.34 % Formula: pel62 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.34 cnf(pel62-1, negated_conjecture, ( ~_def3(_u0) | ~_def4(_u2) )).
% 0.12/0.34 cnf(pel62-2, negated_conjecture, ( _def3(_u0) | ~big_p(a) | ~_def0(_u0) | big_p(f(f(_u0))) )).
% 0.12/0.34 cnf(pel62-3, negated_conjecture, ( _def3(_u0) | ~_def1 | ~_def2 )).
% 0.12/0.34 cnf(pel62-4, negated_conjecture, ( _def0(_u0) | big_p(_u0) )).
% 0.12/0.34 cnf(pel62-5, negated_conjecture, ( _def0(_u0) | ~big_p(f(_u0)) )).
% 0.12/0.34 cnf(pel62-6, negated_conjecture, ( _def1 | big_p(a) )).
% 0.12/0.34 cnf(pel62-7, negated_conjecture, ( _def1 | ~big_p(skolem1) )).
% 0.12/0.34 cnf(pel62-8, negated_conjecture, ( _def1 | ~big_p(f(f(skolem1))) )).
% 0.12/0.34 cnf(pel62-9, negated_conjecture, ( _def2 | big_p(a) )).
% 0.12/0.34 cnf(pel62-10, negated_conjecture, ( _def2 | big_p(f(skolem1)) )).
% 0.12/0.34 cnf(pel62-11, negated_conjecture, ( _def2 | ~big_p(f(f(skolem1))) )).
% 0.12/0.34 cnf(pel62-12, negated_conjecture, ( _def4(_u2) | ~big_p(a) | big_p(_u2) | big_p(f(f(_u2))) )).
% 0.12/0.34 cnf(pel62-13, negated_conjecture, ( _def4(_u2) | ~big_p(a) | ~big_p(f(_u2)) | big_p(f(f(_u2))) )).
% 0.12/0.34 cnf(pel62-14, negated_conjecture, ( _def4(_u2) | big_p(a) )).
% 0.12/0.34 cnf(pel62-15, negated_conjecture, ( _def4(_u2) | ~big_p(skolem2) | big_p(f(skolem2)) )).
% 0.12/0.34 cnf(pel62-16, negated_conjecture, ( _def4(_u2) | ~big_p(f(f(skolem2))) )).
% 0.12/0.34
% 0.12/0.34 % Problem matrix:
% 0.12/0.34 cnf(matrix-0, plain, ( ~_def3(_u0) | ~_def4(_u2) )).
% 0.12/0.34 cnf(matrix-1, plain, ( _def3(_u0) | ~big_p(a) | ~_def0(_u0) | big_p(f(f(_u0))) )).
% 0.12/0.34 cnf(matrix-2, plain, ( _def3(_u0) | ~_def1 | ~_def2 )).
% 0.12/0.34 cnf(matrix-3, plain, ( _def0(_u0) | big_p(_u0) )).
% 0.12/0.34 cnf(matrix-4, plain, ( _def0(_u0) | ~big_p(f(_u0)) )).
% 0.12/0.34 cnf(matrix-5, plain, ( _def1 | big_p(a) )).
% 0.12/0.34 cnf(matrix-6, plain, ( _def1 | ~big_p(skolem1) )).
% 0.12/0.34 cnf(matrix-7, plain, ( _def1 | ~big_p(f(f(skolem1))) )).
% 0.12/0.34 cnf(matrix-8, plain, ( _def2 | big_p(a) )).
% 0.12/0.34 cnf(matrix-9, plain, ( _def2 | big_p(f(skolem1)) )).
% 0.12/0.34 cnf(matrix-10, plain, ( _def2 | ~big_p(f(f(skolem1))) )).
% 0.12/0.34 cnf(matrix-11, plain, ( _def4(_u2) | ~big_p(a) | big_p(_u2) | big_p(f(f(_u2))) )).
% 0.12/0.34 cnf(matrix-12, plain, ( _def4(_u2) | ~big_p(a) | ~big_p(f(_u2)) | big_p(f(f(_u2))) )).
% 0.12/0.34 cnf(matrix-13, plain, ( _def4(_u2) | big_p(a) )).
% 0.12/0.34 cnf(matrix-14, plain, ( _def4(_u2) | ~big_p(skolem2) | big_p(f(skolem2)) )).
% 0.12/0.34 cnf(matrix-15, plain, ( _def4(_u2) | ~big_p(f(f(skolem2))) )).
% 0.12/0.34
% 0.12/0.34 % Proof stack:
% 0.12/0.34 cnf(proof-stack, plain,
% 0.12/0.34 proof_stack(
% 0.12/0.34 start(0),
% 0.12/0.34 left_branch(0, 2, 0, 2),
% 0.12/0.34 left_branch(0, 10, 0, 3),
% 0.12/0.34 left_branch(0, 1, 3, 4),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 left_branch(0, 4, 0, 6),
% 0.12/0.34 left_branch(0, 9, 1, 7),
% 0.12/0.34 reduction(0, 1),
% 0.12/0.34 right_branch(7),
% 0.12/0.34 right_branch(6),
% 0.12/0.34 left_branch(0, 8, 1, 7),
% 0.12/0.34 reduction(0, 1),
% 0.12/0.34 right_branch(7),
% 0.12/0.34 right_branch(4),
% 0.12/0.34 right_branch(3),
% 0.12/0.34 left_branch(0, 7, 0, 4),
% 0.12/0.34 left_branch(0, 1, 3, 5),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 left_branch(0, 3, 0, 7),
% 0.12/0.34 left_branch(0, 6, 1, 8),
% 0.12/0.34 reduction(0, 1),
% 0.12/0.34 right_branch(8),
% 0.12/0.34 right_branch(7),
% 0.12/0.34 left_branch(0, 5, 1, 8),
% 0.12/0.34 reduction(0, 1),
% 0.12/0.34 right_branch(8),
% 0.12/0.34 right_branch(5),
% 0.12/0.34 right_branch(4),
% 0.12/0.34 right_branch(2),
% 0.12/0.34 left_branch(0, 15, 0, 3),
% 0.12/0.34 left_branch(0, 12, 3, 4),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 left_branch(0, 14, 2, 6),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 left_branch(0, 11, 2, 8),
% 0.12/0.34 lemmata(0, 1),
% 0.12/0.34 reduction(0, 1),
% 0.12/0.34 left_branch(0, 13, 1, 11),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 right_branch(11),
% 0.12/0.34 right_branch(8),
% 0.12/0.34 right_branch(6),
% 0.12/0.34 left_branch(0, 13, 1, 7),
% 0.12/0.34 reduction(0, 0),
% 0.12/0.34 right_branch(7),
% 0.12/0.34 right_branch(4),
% 0.12/0.34 right_branch(3)
% 0.12/0.34 )).
% 0.12/0.34 % SZS output end Proof for theBenchmark
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