TSTP Solution File: NUN073+2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUN073+2 : 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 : n025.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 09:16:40 EST 2024
% Result : Theorem 12.54s 12.68s
% Output : Proof 12.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Mar 4 00:06:40 EST 2024
% 0.13/0.33 % CPUTime :
% 12.54/12.68 % SZS status Theorem for theBenchmark
% 12.54/12.68 % SZS output start Proof for theBenchmark
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_1 ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_1-1, axiom, ( ~r1(_u0) | ( _u0 = skolem1) )).
% 12.54/12.68 cnf(axiom_1-2, axiom, ( ( _u0 != skolem1) | r1(_u0) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_2 ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_2-1, axiom, ( ~r2(_u4, _u2) | ( _u2 = skolem2(_u4)) )).
% 12.54/12.68 cnf(axiom_2-2, axiom, ( ( _u2 != skolem2(_u4)) | r2(_u4, _u2) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_3 ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_3-1, axiom, ( ~r3(_u8, _u7, _u5) | ( _u5 = skolem3(_u8, _u7)) )).
% 12.54/12.68 cnf(axiom_3-2, axiom, ( ( _u5 != skolem3(_u8, _u7)) | r3(_u8, _u7, _u5) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_4 ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_4-1, axiom, ( ~r4(_u12, _u11, _u9) | ( _u9 = skolem4(_u12, _u11)) )).
% 12.54/12.68 cnf(axiom_4-2, axiom, ( ( _u9 != skolem4(_u12, _u11)) | r4(_u12, _u11, _u9) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_1a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_1a-1, axiom, ( r2(_u17, skolem7(_u18, _u17)) )).
% 12.54/12.68 cnf(axiom_1a-2, axiom, ( r3(_u18, skolem7(_u18, _u17), skolem6(_u18, _u17)) )).
% 12.54/12.68 cnf(axiom_1a-3, axiom, ( ( skolem6(_u18, _u17) = skolem5(_u18, _u17)) )).
% 12.54/12.68 cnf(axiom_1a-4, axiom, ( r2(skolem8(_u18, _u17), skolem5(_u18, _u17)) )).
% 12.54/12.68 cnf(axiom_1a-5, axiom, ( r3(_u18, _u17, skolem8(_u18, _u17)) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_2a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_2a-1, axiom, ( r2(_u23, skolem11(_u24, _u23)) )).
% 12.54/12.68 cnf(axiom_2a-2, axiom, ( r4(_u24, skolem11(_u24, _u23), skolem10(_u24, _u23)) )).
% 12.54/12.68 cnf(axiom_2a-3, axiom, ( ( skolem10(_u24, _u23) = skolem9(_u24, _u23)) )).
% 12.54/12.68 cnf(axiom_2a-4, axiom, ( r3(skolem12(_u24, _u23), _u24, skolem9(_u24, _u23)) )).
% 12.54/12.68 cnf(axiom_2a-5, axiom, ( r4(_u24, _u23, skolem12(_u24, _u23)) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_3a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_3a-1, axiom, ( ~r2(_u28, _u25) | ( _u25 != _u26) | ~r2(_u27, _u26) | ( _u28 = _u27) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_4a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_4a-1, axiom, ( r1(skolem14(_u31)) )).
% 12.54/12.68 cnf(axiom_4a-2, axiom, ( r3(_u31, skolem14(_u31), skolem13(_u31)) )).
% 12.54/12.68 cnf(axiom_4a-3, axiom, ( ( skolem13(_u31) = _u31) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_5a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_5a-1, axiom, ( r1(skolem16(_u35)) )).
% 12.54/12.68 cnf(axiom_5a-2, axiom, ( r4(_u35, skolem16(_u35), skolem15(_u35)) )).
% 12.54/12.68 cnf(axiom_5a-3, axiom, ( r1(skolem17(_u35)) )).
% 12.54/12.68 cnf(axiom_5a-4, axiom, ( ( skolem15(_u35) = skolem17(_u35)) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_6a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_6a-1, axiom, ( r1(skolem18(_u39)) | r2(skolem19(_u39), skolem20(_u39)) )).
% 12.54/12.68 cnf(axiom_6a-2, axiom, ( r1(skolem18(_u39)) | ( _u39 = skolem20(_u39)) )).
% 12.54/12.68 cnf(axiom_6a-3, axiom, ( ( _u39 = skolem18(_u39)) | r2(skolem19(_u39), skolem20(_u39)) )).
% 12.54/12.68 cnf(axiom_6a-4, axiom, ( ( _u39 = skolem18(_u39)) | ( _u39 = skolem20(_u39)) )).
% 12.54/12.68
% 12.54/12.68 % Formula: axiom_7a ( axiom ) converted to clauses:
% 12.54/12.68 cnf(axiom_7a-1, axiom, ( ~r1(_u40) | ( _u40 != _u41) | ~r2(_u42, _u41) )).
% 12.54/12.68
% 12.54/12.68 % Formula: oneuneqtwo ( conjecture ) converted to clauses:
% 12.54/12.68 cnf(oneuneqtwo-1, negated_conjecture, ( r1(skolem23) )).
% 12.54/12.68 cnf(oneuneqtwo-2, negated_conjecture, ( r2(skolem23, skolem22) )).
% 12.54/12.68 cnf(oneuneqtwo-3, negated_conjecture, ( ( skolem22 = skolem21) )).
% 12.54/12.68 cnf(oneuneqtwo-4, negated_conjecture, ( r1(skolem25) )).
% 12.54/12.68 cnf(oneuneqtwo-5, negated_conjecture, ( r2(skolem25, skolem24) )).
% 12.54/12.68 cnf(oneuneqtwo-6, negated_conjecture, ( r2(skolem24, skolem21) )).
% 12.54/12.68
% 12.54/12.68 % Problem matrix:
% 12.54/12.68 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.54/12.68 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.54/12.68 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.54/12.68 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 12.54/12.68 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem19(__eqx_0) = skolem19(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem20(__eqx_0) = skolem20(__eqy_0)) )).
% 12.54/12.68 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~r1(__eqx_0) | r1(__eqy_0) )).
% 12.54/12.68 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2(__eqx_0, __eqx_1) | r2(__eqy_0, __eqy_1) )).
% 12.54/12.68 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~r3(__eqx_0, __eqx_1, __eqx_2) | r3(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.68 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~r4(__eqx_0, __eqx_1, __eqx_2) | r4(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.68 cnf(matrix-26, plain, ( ~r1(_u0) | ( _u0 = skolem1) )).
% 12.54/12.68 cnf(matrix-27, plain, ( ( _u0 != skolem1) | r1(_u0) )).
% 12.54/12.68 cnf(matrix-28, plain, ( ~r2(_u4, _u2) | ( _u2 = skolem2(_u4)) )).
% 12.54/12.68 cnf(matrix-29, plain, ( ( _u2 != skolem2(_u4)) | r2(_u4, _u2) )).
% 12.54/12.68 cnf(matrix-30, plain, ( ~r3(_u8, _u7, _u5) | ( _u5 = skolem3(_u8, _u7)) )).
% 12.54/12.68 cnf(matrix-31, plain, ( ( _u5 != skolem3(_u8, _u7)) | r3(_u8, _u7, _u5) )).
% 12.54/12.68 cnf(matrix-32, plain, ( ~r4(_u12, _u11, _u9) | ( _u9 = skolem4(_u12, _u11)) )).
% 12.54/12.68 cnf(matrix-33, plain, ( ( _u9 != skolem4(_u12, _u11)) | r4(_u12, _u11, _u9) )).
% 12.54/12.68 cnf(matrix-34, plain, ( r2(_u17, skolem7(_u18, _u17)) )).
% 12.54/12.68 cnf(matrix-35, plain, ( r3(_u18, skolem7(_u18, _u17), skolem6(_u18, _u17)) )).
% 12.54/12.68 cnf(matrix-36, plain, ( ( skolem6(_u18, _u17) = skolem5(_u18, _u17)) )).
% 12.54/12.68 cnf(matrix-37, plain, ( r2(skolem8(_u18, _u17), skolem5(_u18, _u17)) )).
% 12.54/12.68 cnf(matrix-38, plain, ( r3(_u18, _u17, skolem8(_u18, _u17)) )).
% 12.54/12.68 cnf(matrix-39, plain, ( r2(_u23, skolem11(_u24, _u23)) )).
% 12.54/12.68 cnf(matrix-40, plain, ( r4(_u24, skolem11(_u24, _u23), skolem10(_u24, _u23)) )).
% 12.54/12.68 cnf(matrix-41, plain, ( ( skolem10(_u24, _u23) = skolem9(_u24, _u23)) )).
% 12.54/12.68 cnf(matrix-42, plain, ( r3(skolem12(_u24, _u23), _u24, skolem9(_u24, _u23)) )).
% 12.54/12.68 cnf(matrix-43, plain, ( r4(_u24, _u23, skolem12(_u24, _u23)) )).
% 12.54/12.68 cnf(matrix-44, plain, ( ~r2(_u28, _u25) | ( _u25 != _u26) | ~r2(_u27, _u26) | ( _u28 = _u27) )).
% 12.54/12.68 cnf(matrix-45, plain, ( r1(skolem14(_u31)) )).
% 12.54/12.68 cnf(matrix-46, plain, ( r3(_u31, skolem14(_u31), skolem13(_u31)) )).
% 12.54/12.68 cnf(matrix-47, plain, ( ( skolem13(_u31) = _u31) )).
% 12.54/12.68 cnf(matrix-48, plain, ( r1(skolem16(_u35)) )).
% 12.54/12.68 cnf(matrix-49, plain, ( r4(_u35, skolem16(_u35), skolem15(_u35)) )).
% 12.54/12.68 cnf(matrix-50, plain, ( r1(skolem17(_u35)) )).
% 12.54/12.68 cnf(matrix-51, plain, ( ( skolem15(_u35) = skolem17(_u35)) )).
% 12.54/12.68 cnf(matrix-52, plain, ( r1(skolem18(_u39)) | r2(skolem19(_u39), skolem20(_u39)) )).
% 12.54/12.68 cnf(matrix-53, plain, ( r1(skolem18(_u39)) | ( _u39 = skolem20(_u39)) )).
% 12.54/12.68 cnf(matrix-54, plain, ( ( _u39 = skolem18(_u39)) | r2(skolem19(_u39), skolem20(_u39)) )).
% 12.54/12.68 cnf(matrix-55, plain, ( ( _u39 = skolem18(_u39)) | ( _u39 = skolem20(_u39)) )).
% 12.54/12.68 cnf(matrix-56, plain, ( ~r1(_u40) | ( _u40 != _u41) | ~r2(_u42, _u41) )).
% 12.54/12.68 cnf(matrix-57, plain, ( r1(skolem23) )).
% 12.54/12.68 cnf(matrix-58, plain, ( r2(skolem23, skolem22) )).
% 12.54/12.68 cnf(matrix-59, plain, ( ( skolem22 = skolem21) )).
% 12.54/12.68 cnf(matrix-60, plain, ( r1(skolem25) )).
% 12.54/12.68 cnf(matrix-61, plain, ( r2(skolem25, skolem24) )).
% 12.54/12.68 cnf(matrix-62, plain, ( r2(skolem24, skolem21) )).
% 12.54/12.68
% 12.54/12.68 % Proof stack:
% 12.54/12.68 cnf(proof-stack, plain,
% 12.54/12.68 proof_stack(
% 12.54/12.68 start(59),
% 12.54/12.68 left_branch(0, 44, 1, 2),
% 12.54/12.68 left_branch(0, 58, 0, 3),
% 12.54/12.68 right_branch(3),
% 12.54/12.68 left_branch(0, 62, 0, 4),
% 12.54/12.68 right_branch(4),
% 12.54/12.68 left_branch(0, 56, 1, 5),
% 12.54/12.68 left_branch(0, 57, 0, 6),
% 12.54/12.68 right_branch(6),
% 12.54/12.68 left_branch(0, 61, 0, 7),
% 12.54/12.68 right_branch(7),
% 12.54/12.68 right_branch(5),
% 12.54/12.68 right_branch(2)
% 12.54/12.68 )).
% 12.54/12.68 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------