TSTP Solution File: SET631+3 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : SET631+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 : n014.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 14:32:09 EDT 2024

% Result   : Theorem 0.12s 0.36s
% 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
% 0.11/0.12  % Problem  : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n014.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 21:20:00 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% 0.12/0.36  
% 0.12/0.36  % Formula: difference_defn ( axiom ) converted to clauses:
% 0.12/0.36  cnf(difference_defn-1, axiom, ( ~member(_u3, difference(_u7, _u5)) | member(_u3, _u7) )).
% 0.12/0.36  cnf(difference_defn-2, axiom, ( ~member(_u3, difference(_u7, _u5)) | ~member(_u3, _u5) )).
% 0.12/0.36  cnf(difference_defn-3, axiom, ( ~member(_u4, _u8) | member(_u4, _u6) | member(_u4, difference(_u8, _u6)) )).
% 0.12/0.36  
% 0.12/0.36  % Formula: intersect_defn ( axiom ) converted to clauses:
% 0.12/0.36  cnf(intersect_defn-1, axiom, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u15) )).
% 0.12/0.36  cnf(intersect_defn-2, axiom, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u13) )).
% 0.12/0.36  cnf(intersect_defn-3, axiom, ( ~member(_u10, _u16) | ~member(_u10, _u14) | intersect(_u16, _u14) )).
% 0.12/0.36  
% 0.12/0.36  % Formula: symmetry_of_intersect ( axiom ) converted to clauses:
% 0.12/0.36  cnf(symmetry_of_intersect-1, axiom, ( ~intersect(_u18, _u17) | intersect(_u17, _u18) )).
% 0.12/0.36  
% 0.12/0.36  % Formula: prove_th113 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36  cnf(prove_th113-1, negated_conjecture, ( intersect(skolem2, difference(skolem3, skolem4)) )).
% 0.12/0.36  cnf(prove_th113-2, negated_conjecture, ( ~intersect(skolem2, skolem3) )).
% 0.12/0.36  
% 0.12/0.36  % Problem matrix:
% 0.12/0.36  cnf(matrix-0, plain, ( ~member(_u3, difference(_u7, _u5)) | member(_u3, _u7) )).
% 0.12/0.36  cnf(matrix-1, plain, ( ~member(_u3, difference(_u7, _u5)) | ~member(_u3, _u5) )).
% 0.12/0.36  cnf(matrix-2, plain, ( ~member(_u4, _u8) | member(_u4, _u6) | member(_u4, difference(_u8, _u6)) )).
% 0.12/0.36  cnf(matrix-3, plain, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u15) )).
% 0.12/0.36  cnf(matrix-4, plain, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u13) )).
% 0.12/0.36  cnf(matrix-5, plain, ( ~member(_u10, _u16) | ~member(_u10, _u14) | intersect(_u16, _u14) )).
% 0.12/0.36  cnf(matrix-6, plain, ( ~intersect(_u18, _u17) | intersect(_u17, _u18) )).
% 0.12/0.36  cnf(matrix-7, plain, ( intersect(skolem2, difference(skolem3, skolem4)) )).
% 0.12/0.36  cnf(matrix-8, plain, ( ~intersect(skolem2, skolem3) )).
% 0.12/0.36  
% 0.12/0.36  % Proof stack:
% 0.12/0.36  cnf(proof-stack, plain, 
% 0.12/0.36  proof_stack(
% 0.12/0.36  start(8), 
% 0.12/0.36  left_branch(0, 6, 1, 2), 
% 0.12/0.36  left_branch(0, 5, 2, 3), 
% 0.12/0.36  left_branch(0, 0, 1, 4), 
% 0.12/0.36  left_branch(0, 4, 1, 5), 
% 0.12/0.36  left_branch(0, 7, 0, 6), 
% 0.12/0.36  right_branch(6), 
% 0.12/0.36  right_branch(5), 
% 0.12/0.36  right_branch(4), 
% 0.12/0.36  left_branch(0, 3, 1, 5), 
% 0.12/0.36  left_branch(0, 7, 0, 6), 
% 0.12/0.36  right_branch(6), 
% 0.12/0.36  right_branch(5), 
% 0.12/0.36  right_branch(3), 
% 0.12/0.36  right_branch(2)
% 0.12/0.36  )).
% 0.12/0.36  % SZS output end Proof for theBenchmark
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