TSTP Solution File: SEU275+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU275+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 : n011.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 14:33:49 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Mar 20 14:22:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% 0.14/0.36
% 0.14/0.36 % Formula: cc1_ordinal1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(cc1_ordinal1-1, axiom, ( ~ordinal(_u0) | epsilon_transitive(_u0) )).
% 0.14/0.36 cnf(cc1_ordinal1-2, axiom, ( ~ordinal(_u0) | epsilon_connected(_u0) )).
% 0.14/0.36
% 0.14/0.36 % Formula: cc2_ordinal1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(cc2_ordinal1-1, axiom, ( ~epsilon_transitive(_u1) | ~epsilon_connected(_u1) | ordinal(_u1) )).
% 0.14/0.36
% 0.14/0.36 % Formula: d4_wellord1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(d4_wellord1-1, axiom, ( ~relation(_u2) | ~well_ordering(_u2) | reflexive(_u2) )).
% 0.14/0.36 cnf(d4_wellord1-2, axiom, ( ~relation(_u2) | ~well_ordering(_u2) | transitive(_u2) )).
% 0.14/0.36 cnf(d4_wellord1-3, axiom, ( ~relation(_u2) | ~well_ordering(_u2) | antisymmetric(_u2) )).
% 0.14/0.36 cnf(d4_wellord1-4, axiom, ( ~relation(_u2) | ~well_ordering(_u2) | connected(_u2) )).
% 0.14/0.36 cnf(d4_wellord1-5, axiom, ( ~relation(_u2) | ~well_ordering(_u2) | well_founded_relation(_u2) )).
% 0.14/0.36 cnf(d4_wellord1-6, axiom, ( ~relation(_u2) | ~reflexive(_u2) | ~transitive(_u2) | ~antisymmetric(_u2) | ~connected(_u2) | ~well_founded_relation(_u2) | well_ordering(_u2) )).
% 0.14/0.36
% 0.14/0.36 % Formula: dt_k1_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(dt_k1_wellord2-1, axiom, ( relation(inclusion_relation(_u3)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: rc1_ordinal1 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(rc1_ordinal1-1, axiom, ( epsilon_transitive(skolem1) )).
% 0.14/0.36 cnf(rc1_ordinal1-2, axiom, ( epsilon_connected(skolem1) )).
% 0.14/0.36 cnf(rc1_ordinal1-3, axiom, ( ordinal(skolem1) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t2_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(t2_wellord2-1, axiom, ( reflexive(inclusion_relation(_u5)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t3_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(t3_wellord2-1, axiom, ( transitive(inclusion_relation(_u6)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t4_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(t4_wellord2-1, axiom, ( ~ordinal(_u7) | connected(inclusion_relation(_u7)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t5_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(t5_wellord2-1, axiom, ( antisymmetric(inclusion_relation(_u8)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t6_wellord2 ( axiom ) converted to clauses:
% 0.14/0.36 cnf(t6_wellord2-1, axiom, ( ~ordinal(_u9) | well_founded_relation(inclusion_relation(_u9)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: t7_wellord2 ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.36 cnf(t7_wellord2-1, negated_conjecture, ( ordinal(skolem2) )).
% 0.14/0.36 cnf(t7_wellord2-2, negated_conjecture, ( ~well_ordering(inclusion_relation(skolem2)) )).
% 0.14/0.36
% 0.14/0.36 % Problem matrix:
% 0.14/0.36 cnf(matrix-0, plain, ( ~ordinal(_u0) | epsilon_transitive(_u0) )).
% 0.14/0.36 cnf(matrix-1, plain, ( ~ordinal(_u0) | epsilon_connected(_u0) )).
% 0.14/0.36 cnf(matrix-2, plain, ( ~epsilon_transitive(_u1) | ~epsilon_connected(_u1) | ordinal(_u1) )).
% 0.14/0.36 cnf(matrix-3, plain, ( ~relation(_u2) | ~well_ordering(_u2) | reflexive(_u2) )).
% 0.14/0.36 cnf(matrix-4, plain, ( ~relation(_u2) | ~well_ordering(_u2) | transitive(_u2) )).
% 0.14/0.36 cnf(matrix-5, plain, ( ~relation(_u2) | ~well_ordering(_u2) | antisymmetric(_u2) )).
% 0.14/0.36 cnf(matrix-6, plain, ( ~relation(_u2) | ~well_ordering(_u2) | connected(_u2) )).
% 0.14/0.36 cnf(matrix-7, plain, ( ~relation(_u2) | ~well_ordering(_u2) | well_founded_relation(_u2) )).
% 0.14/0.36 cnf(matrix-8, plain, ( ~relation(_u2) | ~reflexive(_u2) | ~transitive(_u2) | ~antisymmetric(_u2) | ~connected(_u2) | ~well_founded_relation(_u2) | well_ordering(_u2) )).
% 0.14/0.36 cnf(matrix-9, plain, ( relation(inclusion_relation(_u3)) )).
% 0.14/0.36 cnf(matrix-10, plain, ( epsilon_transitive(skolem1) )).
% 0.14/0.36 cnf(matrix-11, plain, ( epsilon_connected(skolem1) )).
% 0.14/0.36 cnf(matrix-12, plain, ( ordinal(skolem1) )).
% 0.14/0.36 cnf(matrix-13, plain, ( reflexive(inclusion_relation(_u5)) )).
% 0.14/0.36 cnf(matrix-14, plain, ( transitive(inclusion_relation(_u6)) )).
% 0.14/0.36 cnf(matrix-15, plain, ( ~ordinal(_u7) | connected(inclusion_relation(_u7)) )).
% 0.14/0.36 cnf(matrix-16, plain, ( antisymmetric(inclusion_relation(_u8)) )).
% 0.14/0.36 cnf(matrix-17, plain, ( ~ordinal(_u9) | well_founded_relation(inclusion_relation(_u9)) )).
% 0.14/0.36 cnf(matrix-18, plain, ( ordinal(skolem2) )).
% 0.14/0.36 cnf(matrix-19, plain, ( ~well_ordering(inclusion_relation(skolem2)) )).
% 0.14/0.36
% 0.14/0.36 % Proof stack:
% 0.14/0.36 cnf(proof-stack, plain,
% 0.14/0.36 proof_stack(
% 0.14/0.36 start(19),
% 0.14/0.36 left_branch(0, 8, 6, 2),
% 0.14/0.36 left_branch(0, 9, 0, 3),
% 0.14/0.36 right_branch(3),
% 0.14/0.36 left_branch(0, 17, 1, 4),
% 0.14/0.36 left_branch(0, 18, 0, 5),
% 0.14/0.36 right_branch(5),
% 0.14/0.36 right_branch(4),
% 0.14/0.36 left_branch(0, 15, 1, 5),
% 0.14/0.36 left_branch(0, 18, 0, 6),
% 0.14/0.36 right_branch(6),
% 0.14/0.36 right_branch(5),
% 0.14/0.36 left_branch(0, 16, 0, 6),
% 0.14/0.36 right_branch(6),
% 0.14/0.36 left_branch(0, 14, 0, 7),
% 0.14/0.36 right_branch(7),
% 0.14/0.36 left_branch(0, 13, 0, 8),
% 0.14/0.36 right_branch(8),
% 0.14/0.36 right_branch(2)
% 0.14/0.36 )).
% 0.14/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------