TSTP Solution File: SET027+3 by ConnectPP---0.2.2
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- Process Solution
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% File : ConnectPP---0.2.2
% Problem : SET027+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 : n021.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 : Wed Mar 6 09:18:29 EST 2024
% Result : Theorem 0.13s 0.34s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n021.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 : Sun Mar 3 19:08:18 EST 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start Proof for theBenchmark
% 0.13/0.34
% 0.13/0.34 % Formula: subset_defn ( axiom ) converted to clauses:
% 0.13/0.34 cnf(subset_defn-1, axiom, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 0.13/0.34 cnf(subset_defn-2, axiom, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 0.13/0.34 cnf(subset_defn-3, axiom, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 0.13/0.34
% 0.13/0.34 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 0.13/0.34 cnf(reflexivity_of_subset-1, axiom, ( subset(_u8, _u8) )).
% 0.13/0.34
% 0.13/0.34 % Formula: prove_transitivity_of_subset ( conjecture ) converted to clauses:
% 0.13/0.34 cnf(prove_transitivity_of_subset-1, negated_conjecture, ( subset(skolem2, skolem3) )).
% 0.13/0.34 cnf(prove_transitivity_of_subset-2, negated_conjecture, ( subset(skolem3, skolem4) )).
% 0.13/0.34 cnf(prove_transitivity_of_subset-3, negated_conjecture, ( ~subset(skolem2, skolem4) )).
% 0.13/0.34
% 0.13/0.34 % Problem matrix:
% 0.13/0.34 cnf(matrix-0, plain, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 0.13/0.34 cnf(matrix-1, plain, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 0.13/0.34 cnf(matrix-2, plain, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 0.13/0.34 cnf(matrix-3, plain, ( subset(_u8, _u8) )).
% 0.13/0.34 cnf(matrix-4, plain, ( subset(skolem2, skolem3) )).
% 0.13/0.34 cnf(matrix-5, plain, ( subset(skolem3, skolem4) )).
% 0.13/0.34 cnf(matrix-6, plain, ( ~subset(skolem2, skolem4) )).
% 0.13/0.34
% 0.13/0.34 % Proof stack:
% 0.13/0.34 cnf(proof-stack, plain,
% 0.13/0.34 proof_stack(
% 0.13/0.34 start(6),
% 0.13/0.34 left_branch(0, 2, 0, 2),
% 0.13/0.34 left_branch(0, 0, 2, 3),
% 0.13/0.34 left_branch(0, 5, 0, 4),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 left_branch(0, 0, 2, 5),
% 0.13/0.34 left_branch(0, 4, 0, 6),
% 0.13/0.34 right_branch(6),
% 0.13/0.34 left_branch(0, 1, 1, 7),
% 0.13/0.34 reduction(0, 0),
% 0.13/0.34 right_branch(7),
% 0.13/0.34 right_branch(5),
% 0.13/0.34 right_branch(3),
% 0.13/0.34 right_branch(2)
% 0.13/0.34 )).
% 0.13/0.34 % SZS output end Proof for theBenchmark
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