TSTP Solution File: NUN088+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n029.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 09:16:42 EST 2024
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n029.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 : Mon Mar 4 00:05:51 EST 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_1-1, axiom, ( id(_u0, skolem1) | ~r1(_u0) )).
% 0.13/0.36 cnf(axiom_1-2, axiom, ( r1(_u0) | ~id(_u0, skolem1) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_2 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_2-1, axiom, ( id(_u2, skolem2(_u4)) | ~r2(_u4, _u2) )).
% 0.13/0.36 cnf(axiom_2-2, axiom, ( r2(_u4, _u2) | ~id(_u2, skolem2(_u4)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_3 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_3-1, axiom, ( id(_u5, skolem3(_u8, _u7)) | ~r3(_u8, _u7, _u5) )).
% 0.13/0.36 cnf(axiom_3-2, axiom, ( r3(_u8, _u7, _u5) | ~id(_u5, skolem3(_u8, _u7)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_4 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_4-1, axiom, ( id(_u9, skolem4(_u12, _u11)) | ~r4(_u12, _u11, _u9) )).
% 0.13/0.36 cnf(axiom_4-2, axiom, ( r4(_u12, _u11, _u9) | ~id(_u9, skolem4(_u12, _u11)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_5 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_5-1, axiom, ( id(_u13, _u13) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_6 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_6-1, axiom, ( ~id(_u15, _u14) | id(_u14, _u15) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_7 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_7-1, axiom, ( ~id(_u18, _u17) | id(_u18, _u16) | ~id(_u17, _u16) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_8 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_8-1, axiom, ( ~id(_u20, _u19) | ~r1(_u20) | r1(_u19) )).
% 0.13/0.36 cnf(axiom_8-2, axiom, ( ~id(_u20, _u19) | ~r1(_u19) | r1(_u20) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_9 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_9-1, axiom, ( ~id(_u24, _u22) | ~id(_u23, _u21) | ~r2(_u24, _u23) | r2(_u22, _u21) )).
% 0.13/0.36 cnf(axiom_9-2, axiom, ( ~id(_u24, _u22) | ~id(_u23, _u21) | ~r2(_u22, _u21) | r2(_u24, _u23) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_10 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_10-1, axiom, ( ~id(_u30, _u27) | ~id(_u29, _u26) | ~id(_u28, _u25) | ~r3(_u30, _u29, _u28) | r3(_u27, _u26, _u25) )).
% 0.13/0.36 cnf(axiom_10-2, axiom, ( ~id(_u30, _u27) | ~id(_u29, _u26) | ~id(_u28, _u25) | ~r3(_u27, _u26, _u25) | r3(_u30, _u29, _u28) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_11 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_11-1, axiom, ( ~id(_u36, _u33) | ~id(_u35, _u32) | ~id(_u34, _u31) | ~r4(_u36, _u35, _u34) | r4(_u33, _u32, _u31) )).
% 0.13/0.36 cnf(axiom_11-2, axiom, ( ~id(_u36, _u33) | ~id(_u35, _u32) | ~id(_u34, _u31) | ~r4(_u33, _u32, _u31) | r4(_u36, _u35, _u34) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_1a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_1a-1, axiom, ( id(skolem6(_u42, _u41), skolem5(_u42, _u41)) )).
% 0.13/0.36 cnf(axiom_1a-2, axiom, ( r2(_u41, skolem7(_u42, _u41)) )).
% 0.13/0.36 cnf(axiom_1a-3, axiom, ( r3(_u42, skolem7(_u42, _u41), skolem6(_u42, _u41)) )).
% 0.13/0.36 cnf(axiom_1a-4, axiom, ( r2(skolem8(_u42, _u41), skolem5(_u42, _u41)) )).
% 0.13/0.36 cnf(axiom_1a-5, axiom, ( r3(_u42, _u41, skolem8(_u42, _u41)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_2a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_2a-1, axiom, ( id(skolem10(_u48, _u47), skolem9(_u48, _u47)) )).
% 0.13/0.36 cnf(axiom_2a-2, axiom, ( r2(_u47, skolem11(_u48, _u47)) )).
% 0.13/0.36 cnf(axiom_2a-3, axiom, ( r4(_u48, skolem11(_u48, _u47), skolem10(_u48, _u47)) )).
% 0.13/0.36 cnf(axiom_2a-4, axiom, ( r3(skolem12(_u48, _u47), _u48, skolem9(_u48, _u47)) )).
% 0.13/0.36 cnf(axiom_2a-5, axiom, ( r4(_u48, _u47, skolem12(_u48, _u47)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_3a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_3a-1, axiom, ( ~id(_u49, _u50) | ~r2(_u52, _u49) | ~r2(_u51, _u50) | id(_u52, _u51) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_4a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_4a-1, axiom, ( id(skolem13(_u55), _u55) )).
% 0.13/0.36 cnf(axiom_4a-2, axiom, ( r1(skolem14(_u55)) )).
% 0.13/0.36 cnf(axiom_4a-3, axiom, ( r3(_u55, skolem14(_u55), skolem13(_u55)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_5a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_5a-1, axiom, ( r1(skolem16(_u59)) )).
% 0.13/0.36 cnf(axiom_5a-2, axiom, ( r4(_u59, skolem16(_u59), skolem15(_u59)) )).
% 0.13/0.36 cnf(axiom_5a-3, axiom, ( id(skolem15(_u59), skolem17(_u59)) )).
% 0.13/0.36 cnf(axiom_5a-4, axiom, ( r1(skolem17(_u59)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_6a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_6a-1, axiom, ( id(_u63, skolem18(_u63)) | id(_u63, skolem20(_u63)) )).
% 0.13/0.36 cnf(axiom_6a-2, axiom, ( id(_u63, skolem18(_u63)) | r2(skolem19(_u63), skolem20(_u63)) )).
% 0.13/0.36 cnf(axiom_6a-3, axiom, ( r1(skolem18(_u63)) | id(_u63, skolem20(_u63)) )).
% 0.13/0.36 cnf(axiom_6a-4, axiom, ( r1(skolem18(_u63)) | r2(skolem19(_u63), skolem20(_u63)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_7a ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_7a-1, axiom, ( ~id(_u64, _u65) | ~r1(_u64) | ~r2(_u66, _u65) )).
% 0.13/0.36
% 0.13/0.36 % Formula: zerounidone ( conjecture ) converted to clauses:
% 0.13/0.36 cnf(zerounidone-1, negated_conjecture, ( id(skolem22, skolem21) )).
% 0.13/0.36 cnf(zerounidone-2, negated_conjecture, ( r1(skolem22) )).
% 0.13/0.36 cnf(zerounidone-3, negated_conjecture, ( r1(skolem23) )).
% 0.13/0.36 cnf(zerounidone-4, negated_conjecture, ( r2(skolem23, skolem21) )).
% 0.13/0.36
% 0.13/0.36 % Problem matrix:
% 0.13/0.36 cnf(matrix-0, plain, ( id(_u0, skolem1) | ~r1(_u0) )).
% 0.13/0.36 cnf(matrix-1, plain, ( r1(_u0) | ~id(_u0, skolem1) )).
% 0.13/0.36 cnf(matrix-2, plain, ( id(_u2, skolem2(_u4)) | ~r2(_u4, _u2) )).
% 0.13/0.36 cnf(matrix-3, plain, ( r2(_u4, _u2) | ~id(_u2, skolem2(_u4)) )).
% 0.13/0.36 cnf(matrix-4, plain, ( id(_u5, skolem3(_u8, _u7)) | ~r3(_u8, _u7, _u5) )).
% 0.13/0.36 cnf(matrix-5, plain, ( r3(_u8, _u7, _u5) | ~id(_u5, skolem3(_u8, _u7)) )).
% 0.13/0.36 cnf(matrix-6, plain, ( id(_u9, skolem4(_u12, _u11)) | ~r4(_u12, _u11, _u9) )).
% 0.13/0.36 cnf(matrix-7, plain, ( r4(_u12, _u11, _u9) | ~id(_u9, skolem4(_u12, _u11)) )).
% 0.13/0.36 cnf(matrix-8, plain, ( id(_u13, _u13) )).
% 0.13/0.36 cnf(matrix-9, plain, ( ~id(_u15, _u14) | id(_u14, _u15) )).
% 0.13/0.36 cnf(matrix-10, plain, ( ~id(_u18, _u17) | id(_u18, _u16) | ~id(_u17, _u16) )).
% 0.13/0.36 cnf(matrix-11, plain, ( ~id(_u20, _u19) | ~r1(_u20) | r1(_u19) )).
% 0.13/0.36 cnf(matrix-12, plain, ( ~id(_u20, _u19) | ~r1(_u19) | r1(_u20) )).
% 0.13/0.36 cnf(matrix-13, plain, ( ~id(_u24, _u22) | ~id(_u23, _u21) | ~r2(_u24, _u23) | r2(_u22, _u21) )).
% 0.13/0.36 cnf(matrix-14, plain, ( ~id(_u24, _u22) | ~id(_u23, _u21) | ~r2(_u22, _u21) | r2(_u24, _u23) )).
% 0.13/0.36 cnf(matrix-15, plain, ( ~id(_u30, _u27) | ~id(_u29, _u26) | ~id(_u28, _u25) | ~r3(_u30, _u29, _u28) | r3(_u27, _u26, _u25) )).
% 0.13/0.36 cnf(matrix-16, plain, ( ~id(_u30, _u27) | ~id(_u29, _u26) | ~id(_u28, _u25) | ~r3(_u27, _u26, _u25) | r3(_u30, _u29, _u28) )).
% 0.13/0.36 cnf(matrix-17, plain, ( ~id(_u36, _u33) | ~id(_u35, _u32) | ~id(_u34, _u31) | ~r4(_u36, _u35, _u34) | r4(_u33, _u32, _u31) )).
% 0.13/0.36 cnf(matrix-18, plain, ( ~id(_u36, _u33) | ~id(_u35, _u32) | ~id(_u34, _u31) | ~r4(_u33, _u32, _u31) | r4(_u36, _u35, _u34) )).
% 0.13/0.36 cnf(matrix-19, plain, ( id(skolem6(_u42, _u41), skolem5(_u42, _u41)) )).
% 0.13/0.36 cnf(matrix-20, plain, ( r2(_u41, skolem7(_u42, _u41)) )).
% 0.13/0.36 cnf(matrix-21, plain, ( r3(_u42, skolem7(_u42, _u41), skolem6(_u42, _u41)) )).
% 0.13/0.36 cnf(matrix-22, plain, ( r2(skolem8(_u42, _u41), skolem5(_u42, _u41)) )).
% 0.13/0.36 cnf(matrix-23, plain, ( r3(_u42, _u41, skolem8(_u42, _u41)) )).
% 0.13/0.36 cnf(matrix-24, plain, ( id(skolem10(_u48, _u47), skolem9(_u48, _u47)) )).
% 0.13/0.36 cnf(matrix-25, plain, ( r2(_u47, skolem11(_u48, _u47)) )).
% 0.13/0.36 cnf(matrix-26, plain, ( r4(_u48, skolem11(_u48, _u47), skolem10(_u48, _u47)) )).
% 0.13/0.36 cnf(matrix-27, plain, ( r3(skolem12(_u48, _u47), _u48, skolem9(_u48, _u47)) )).
% 0.13/0.36 cnf(matrix-28, plain, ( r4(_u48, _u47, skolem12(_u48, _u47)) )).
% 0.13/0.36 cnf(matrix-29, plain, ( ~id(_u49, _u50) | ~r2(_u52, _u49) | ~r2(_u51, _u50) | id(_u52, _u51) )).
% 0.13/0.36 cnf(matrix-30, plain, ( id(skolem13(_u55), _u55) )).
% 0.13/0.36 cnf(matrix-31, plain, ( r1(skolem14(_u55)) )).
% 0.13/0.36 cnf(matrix-32, plain, ( r3(_u55, skolem14(_u55), skolem13(_u55)) )).
% 0.13/0.36 cnf(matrix-33, plain, ( r1(skolem16(_u59)) )).
% 0.13/0.36 cnf(matrix-34, plain, ( r4(_u59, skolem16(_u59), skolem15(_u59)) )).
% 0.13/0.36 cnf(matrix-35, plain, ( id(skolem15(_u59), skolem17(_u59)) )).
% 0.13/0.36 cnf(matrix-36, plain, ( r1(skolem17(_u59)) )).
% 0.13/0.36 cnf(matrix-37, plain, ( id(_u63, skolem18(_u63)) | id(_u63, skolem20(_u63)) )).
% 0.13/0.36 cnf(matrix-38, plain, ( id(_u63, skolem18(_u63)) | r2(skolem19(_u63), skolem20(_u63)) )).
% 0.13/0.36 cnf(matrix-39, plain, ( r1(skolem18(_u63)) | id(_u63, skolem20(_u63)) )).
% 0.13/0.36 cnf(matrix-40, plain, ( r1(skolem18(_u63)) | r2(skolem19(_u63), skolem20(_u63)) )).
% 0.13/0.36 cnf(matrix-41, plain, ( ~id(_u64, _u65) | ~r1(_u64) | ~r2(_u66, _u65) )).
% 0.13/0.36 cnf(matrix-42, plain, ( id(skolem22, skolem21) )).
% 0.13/0.36 cnf(matrix-43, plain, ( r1(skolem22) )).
% 0.13/0.36 cnf(matrix-44, plain, ( r1(skolem23) )).
% 0.13/0.36 cnf(matrix-45, plain, ( r2(skolem23, skolem21) )).
% 0.13/0.36
% 0.13/0.36 % Proof stack:
% 0.13/0.36 cnf(proof-stack, plain,
% 0.13/0.36 proof_stack(
% 0.13/0.36 start(41),
% 0.13/0.36 left_branch(0, 42, 0, 2),
% 0.13/0.36 right_branch(2),
% 0.13/0.36 left_branch(0, 45, 0, 3),
% 0.13/0.36 right_branch(3),
% 0.13/0.36 left_branch(0, 43, 0, 4),
% 0.13/0.36 right_branch(4)
% 0.13/0.36 )).
% 0.13/0.36 % SZS output end Proof for theBenchmark
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