TSTP Solution File: SET625+3 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SET625+3 : 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 : n004.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 14:32:08 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
% 0.07/0.12 % Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 21:42:24 EDT 2024
% 0.12/0.34 % 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: intersect_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(intersect_defn-1, axiom, ( ~intersect(_u6, _u4) | member(skolem1(_u6, _u4), _u6) )).
% 0.12/0.34 cnf(intersect_defn-2, axiom, ( ~intersect(_u6, _u4) | member(skolem1(_u6, _u4), _u4) )).
% 0.12/0.34 cnf(intersect_defn-3, axiom, ( ~member(_u1, _u7) | ~member(_u1, _u5) | intersect(_u7, _u5) )).
% 0.12/0.34
% 0.12/0.34 % Formula: subset_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(subset_defn-1, axiom, ( ~subset(_u14, _u12) | ~member(_u8, _u14) | member(_u8, _u12) )).
% 0.12/0.34 cnf(subset_defn-2, axiom, ( subset(_u15, _u13) | member(skolem2(_u15, _u13), _u15) )).
% 0.12/0.34 cnf(subset_defn-3, axiom, ( subset(_u15, _u13) | ~member(skolem2(_u15, _u13), _u13) )).
% 0.12/0.34
% 0.12/0.34 % Formula: symmetry_of_intersect ( axiom ) converted to clauses:
% 0.12/0.34 cnf(symmetry_of_intersect-1, axiom, ( ~intersect(_u17, _u16) | intersect(_u16, _u17) )).
% 0.12/0.34
% 0.12/0.34 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 0.12/0.34 cnf(reflexivity_of_subset-1, axiom, ( subset(_u18, _u18) )).
% 0.12/0.34
% 0.12/0.34 % Formula: prove_th101 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.34 cnf(prove_th101-1, negated_conjecture, ( intersect(skolem3, skolem4) )).
% 0.12/0.34 cnf(prove_th101-2, negated_conjecture, ( subset(skolem4, skolem5) )).
% 0.12/0.34 cnf(prove_th101-3, negated_conjecture, ( ~intersect(skolem3, skolem5) )).
% 0.12/0.34
% 0.12/0.34 % Problem matrix:
% 0.12/0.34 cnf(matrix-0, plain, ( ~intersect(_u6, _u4) | member(skolem1(_u6, _u4), _u6) )).
% 0.12/0.34 cnf(matrix-1, plain, ( ~intersect(_u6, _u4) | member(skolem1(_u6, _u4), _u4) )).
% 0.12/0.34 cnf(matrix-2, plain, ( ~member(_u1, _u7) | ~member(_u1, _u5) | intersect(_u7, _u5) )).
% 0.12/0.34 cnf(matrix-3, plain, ( ~subset(_u14, _u12) | ~member(_u8, _u14) | member(_u8, _u12) )).
% 0.12/0.34 cnf(matrix-4, plain, ( subset(_u15, _u13) | member(skolem2(_u15, _u13), _u15) )).
% 0.12/0.34 cnf(matrix-5, plain, ( subset(_u15, _u13) | ~member(skolem2(_u15, _u13), _u13) )).
% 0.12/0.34 cnf(matrix-6, plain, ( ~intersect(_u17, _u16) | intersect(_u16, _u17) )).
% 0.12/0.34 cnf(matrix-7, plain, ( subset(_u18, _u18) )).
% 0.12/0.34 cnf(matrix-8, plain, ( intersect(skolem3, skolem4) )).
% 0.12/0.34 cnf(matrix-9, plain, ( subset(skolem4, skolem5) )).
% 0.12/0.34 cnf(matrix-10, plain, ( ~intersect(skolem3, skolem5) )).
% 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(10),
% 0.12/0.34 left_branch(0, 6, 1, 2),
% 0.12/0.34 left_branch(0, 2, 2, 3),
% 0.12/0.34 left_branch(0, 3, 2, 4),
% 0.12/0.34 left_branch(0, 9, 0, 5),
% 0.12/0.34 right_branch(5),
% 0.12/0.34 left_branch(0, 1, 1, 6),
% 0.12/0.34 left_branch(0, 8, 0, 7),
% 0.12/0.34 right_branch(7),
% 0.12/0.34 right_branch(6),
% 0.12/0.34 right_branch(4),
% 0.12/0.34 left_branch(0, 0, 1, 5),
% 0.12/0.34 left_branch(0, 8, 0, 6),
% 0.12/0.34 right_branch(6),
% 0.12/0.34 right_branch(5),
% 0.12/0.34 right_branch(3),
% 0.12/0.34 right_branch(2)
% 0.12/0.34 )).
% 0.12/0.34 % SZS output end Proof for theBenchmark
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