TSTP Solution File: KRS178+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n024.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 14:18:16 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n024.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 : Thu Mar 21 02:31:31 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% 0.12/0.35
% 0.12/0.35 % Formula: mighta ( axiom ) converted to clauses:
% 0.12/0.35 cnf(mighta-1, axiom, ( ~status(_u1, _u0, _u8) | ~status(_u1, _u0, _u6) | mighta(_u8, _u6) )).
% 0.12/0.35 cnf(mighta-2, axiom, ( ~mighta(_u9, _u7) | status(skolem1(_u9, _u7), skolem2(_u9, _u7), _u9) )).
% 0.12/0.35 cnf(mighta-3, axiom, ( ~mighta(_u9, _u7) | status(skolem1(_u9, _u7), skolem2(_u9, _u7), _u7) )).
% 0.12/0.35
% 0.12/0.35 % Formula: isa ( axiom ) converted to clauses:
% 0.12/0.35 cnf(isa-1, axiom, ( isa(_u18, _u16) | status(skolem3(_u18, _u16), skolem4(_u18, _u16), _u18) )).
% 0.12/0.35 cnf(isa-2, axiom, ( isa(_u18, _u16) | ~status(skolem3(_u18, _u16), skolem4(_u18, _u16), _u16) )).
% 0.12/0.35 cnf(isa-3, axiom, ( ~isa(_u19, _u17) | ~status(_u13, _u12, _u19) | status(_u13, _u12, _u17) )).
% 0.12/0.35
% 0.12/0.35 % Formula: nota ( axiom ) converted to clauses:
% 0.12/0.35 cnf(nota-1, axiom, ( ~status(_u21, _u20, _u28) | status(_u21, _u20, _u26) | nota(_u28, _u26) )).
% 0.12/0.35 cnf(nota-2, axiom, ( ~nota(_u29, _u27) | status(skolem5(_u29, _u27), skolem6(_u29, _u27), _u29) )).
% 0.12/0.35 cnf(nota-3, axiom, ( ~nota(_u29, _u27) | ~status(skolem5(_u29, _u27), skolem6(_u29, _u27), _u27) )).
% 0.12/0.35
% 0.12/0.35 % Formula: nevera ( axiom ) converted to clauses:
% 0.12/0.35 cnf(nevera-1, axiom, ( nevera(_u38, _u36) | status(skolem7(_u38, _u36), skolem8(_u38, _u36), _u38) )).
% 0.12/0.35 cnf(nevera-2, axiom, ( nevera(_u38, _u36) | status(skolem7(_u38, _u36), skolem8(_u38, _u36), _u36) )).
% 0.12/0.35 cnf(nevera-3, axiom, ( ~nevera(_u39, _u37) | ~status(_u33, _u32, _u39) | ~status(_u33, _u32, _u37) )).
% 0.12/0.35
% 0.12/0.35 % Formula: xora ( axiom ) converted to clauses:
% 0.12/0.35 cnf(xora-1, axiom, ( xora(_u48, _u46) | ~status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u48) | status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u46) )).
% 0.12/0.35 cnf(xora-2, axiom, ( xora(_u48, _u46) | status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u48) | ~status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u46) )).
% 0.12/0.35 cnf(xora-3, axiom, ( ~xora(_u49, _u47) | status(_u43, _u42, _u49) | status(_u43, _u42, _u47) )).
% 0.12/0.35 cnf(xora-4, axiom, ( ~xora(_u49, _u47) | ~status(_u43, _u42, _u47) | ~status(_u43, _u42, _u49) )).
% 0.12/0.35
% 0.12/0.35 % Formula: completeness ( axiom ) converted to clauses:
% 0.12/0.35 cnf(completeness-1, axiom, ( model(_u51, _u50) | model(_u51, not(_u50)) )).
% 0.12/0.35 cnf(completeness-2, axiom, ( ~model(_u51, not(_u50)) | ~model(_u51, _u50) )).
% 0.12/0.35
% 0.12/0.35 % Formula: not ( axiom ) converted to clauses:
% 0.12/0.35 cnf(not-1, axiom, ( ~model(_u56, _u54) | ~model(_u56, not(_u54)) )).
% 0.12/0.35 cnf(not-2, axiom, ( model(_u57, not(_u55)) | model(_u57, _u55) )).
% 0.12/0.35
% 0.12/0.35 % Formula: tautology ( axiom ) converted to clauses:
% 0.12/0.35 cnf(tautology-1, axiom, ( model(_u58, skolem11) )).
% 0.12/0.35
% 0.12/0.35 % Formula: satisfiable ( axiom ) converted to clauses:
% 0.12/0.35 cnf(satisfiable-1, axiom, ( model(skolem13, skolem12) )).
% 0.12/0.35 cnf(satisfiable-2, axiom, ( ~model(skolem14, skolem12) )).
% 0.12/0.35
% 0.12/0.35 % Formula: contradiction ( axiom ) converted to clauses:
% 0.12/0.35 cnf(contradiction-1, axiom, ( ~model(_u63, skolem15) )).
% 0.12/0.35
% 0.12/0.35 % Formula: sat_non_taut_pair ( axiom ) converted to clauses:
% 0.12/0.35 cnf(sat_non_taut_pair-1, axiom, ( model(skolem18, skolem16) )).
% 0.12/0.35 cnf(sat_non_taut_pair-2, axiom, ( model(skolem18, skolem17) )).
% 0.12/0.35 cnf(sat_non_taut_pair-3, axiom, ( ~model(skolem19, skolem16) | ~model(skolem20, skolem17) )).
% 0.12/0.35
% 0.12/0.35 % Formula: mixed_pair ( axiom ) converted to clauses:
% 0.12/0.35 cnf(mixed_pair-1, axiom, ( model(skolem22, skolem21) )).
% 0.12/0.35 cnf(mixed_pair-2, axiom, ( ~model(_u72, skolem21) | model(_u72, skolem23) )).
% 0.12/0.35 cnf(mixed_pair-3, axiom, ( ~model(skolem24, skolem21) )).
% 0.12/0.35 cnf(mixed_pair-4, axiom, ( model(skolem24, skolem23) )).
% 0.12/0.35 cnf(mixed_pair-5, axiom, ( ~model(skolem25, skolem23) )).
% 0.12/0.35
% 0.12/0.35 % Formula: non_thm_spt ( axiom ) converted to clauses:
% 0.12/0.35 cnf(non_thm_spt-1, axiom, ( ~model(skolem26, skolem27) )).
% 0.12/0.35 cnf(non_thm_spt-2, axiom, ( model(skolem28, skolem27) )).
% 0.12/0.35 cnf(non_thm_spt-3, axiom, ( model(skolem26, skolem29) )).
% 0.12/0.35
% 0.12/0.35 % Formula: isa_reflexive ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.35 cnf(isa_reflexive-1, negated_conjecture, ( ~isa(skolem30, skolem30) )).
% 0.12/0.35
% 0.12/0.35 % Problem matrix:
% 0.12/0.35 cnf(matrix-0, plain, ( ~status(_u1, _u0, _u8) | ~status(_u1, _u0, _u6) | mighta(_u8, _u6) )).
% 0.12/0.35 cnf(matrix-1, plain, ( ~mighta(_u9, _u7) | status(skolem1(_u9, _u7), skolem2(_u9, _u7), _u9) )).
% 0.12/0.35 cnf(matrix-2, plain, ( ~mighta(_u9, _u7) | status(skolem1(_u9, _u7), skolem2(_u9, _u7), _u7) )).
% 0.12/0.35 cnf(matrix-3, plain, ( isa(_u18, _u16) | status(skolem3(_u18, _u16), skolem4(_u18, _u16), _u18) )).
% 0.12/0.35 cnf(matrix-4, plain, ( isa(_u18, _u16) | ~status(skolem3(_u18, _u16), skolem4(_u18, _u16), _u16) )).
% 0.12/0.35 cnf(matrix-5, plain, ( ~isa(_u19, _u17) | ~status(_u13, _u12, _u19) | status(_u13, _u12, _u17) )).
% 0.12/0.35 cnf(matrix-6, plain, ( ~status(_u21, _u20, _u28) | status(_u21, _u20, _u26) | nota(_u28, _u26) )).
% 0.12/0.35 cnf(matrix-7, plain, ( ~nota(_u29, _u27) | status(skolem5(_u29, _u27), skolem6(_u29, _u27), _u29) )).
% 0.12/0.35 cnf(matrix-8, plain, ( ~nota(_u29, _u27) | ~status(skolem5(_u29, _u27), skolem6(_u29, _u27), _u27) )).
% 0.12/0.35 cnf(matrix-9, plain, ( nevera(_u38, _u36) | status(skolem7(_u38, _u36), skolem8(_u38, _u36), _u38) )).
% 0.12/0.35 cnf(matrix-10, plain, ( nevera(_u38, _u36) | status(skolem7(_u38, _u36), skolem8(_u38, _u36), _u36) )).
% 0.12/0.35 cnf(matrix-11, plain, ( ~nevera(_u39, _u37) | ~status(_u33, _u32, _u39) | ~status(_u33, _u32, _u37) )).
% 0.12/0.35 cnf(matrix-12, plain, ( xora(_u48, _u46) | ~status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u48) | status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u46) )).
% 0.12/0.35 cnf(matrix-13, plain, ( xora(_u48, _u46) | status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u48) | ~status(skolem9(_u48, _u46), skolem10(_u48, _u46), _u46) )).
% 0.12/0.35 cnf(matrix-14, plain, ( ~xora(_u49, _u47) | status(_u43, _u42, _u49) | status(_u43, _u42, _u47) )).
% 0.12/0.35 cnf(matrix-15, plain, ( ~xora(_u49, _u47) | ~status(_u43, _u42, _u47) | ~status(_u43, _u42, _u49) )).
% 0.12/0.35 cnf(matrix-16, plain, ( model(_u51, _u50) | model(_u51, not(_u50)) )).
% 0.12/0.35 cnf(matrix-17, plain, ( ~model(_u51, not(_u50)) | ~model(_u51, _u50) )).
% 0.12/0.35 cnf(matrix-18, plain, ( ~model(_u56, _u54) | ~model(_u56, not(_u54)) )).
% 0.12/0.35 cnf(matrix-19, plain, ( model(_u57, not(_u55)) | model(_u57, _u55) )).
% 0.12/0.35 cnf(matrix-20, plain, ( model(_u58, skolem11) )).
% 0.12/0.35 cnf(matrix-21, plain, ( model(skolem13, skolem12) )).
% 0.12/0.35 cnf(matrix-22, plain, ( ~model(skolem14, skolem12) )).
% 0.12/0.35 cnf(matrix-23, plain, ( ~model(_u63, skolem15) )).
% 0.12/0.35 cnf(matrix-24, plain, ( model(skolem18, skolem16) )).
% 0.12/0.35 cnf(matrix-25, plain, ( model(skolem18, skolem17) )).
% 0.12/0.35 cnf(matrix-26, plain, ( ~model(skolem19, skolem16) | ~model(skolem20, skolem17) )).
% 0.12/0.35 cnf(matrix-27, plain, ( model(skolem22, skolem21) )).
% 0.12/0.35 cnf(matrix-28, plain, ( ~model(_u72, skolem21) | model(_u72, skolem23) )).
% 0.12/0.35 cnf(matrix-29, plain, ( ~model(skolem24, skolem21) )).
% 0.12/0.35 cnf(matrix-30, plain, ( model(skolem24, skolem23) )).
% 0.12/0.35 cnf(matrix-31, plain, ( ~model(skolem25, skolem23) )).
% 0.12/0.35 cnf(matrix-32, plain, ( ~model(skolem26, skolem27) )).
% 0.12/0.35 cnf(matrix-33, plain, ( model(skolem28, skolem27) )).
% 0.12/0.35 cnf(matrix-34, plain, ( model(skolem26, skolem29) )).
% 0.12/0.35 cnf(matrix-35, plain, ( ~isa(skolem30, skolem30) )).
% 0.12/0.35
% 0.12/0.35 % Proof stack:
% 0.12/0.35 cnf(proof-stack, plain,
% 0.12/0.35 proof_stack(
% 0.12/0.35 start(8),
% 0.12/0.35 left_branch(0, 6, 2, 2),
% 0.12/0.35 left_branch(0, 3, 1, 3),
% 0.12/0.35 left_branch(0, 35, 0, 4),
% 0.12/0.35 right_branch(4),
% 0.12/0.35 right_branch(3),
% 0.12/0.35 left_branch(0, 4, 1, 4),
% 0.12/0.35 left_branch(0, 35, 0, 5),
% 0.12/0.35 right_branch(5),
% 0.12/0.35 right_branch(4),
% 0.12/0.35 right_branch(2),
% 0.12/0.35 left_branch(0, 7, 1, 3),
% 0.12/0.35 lemmata(0, 0),
% 0.12/0.35 right_branch(3)
% 0.12/0.35 )).
% 0.12/0.35 % SZS output end Proof for theBenchmark
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