TSTP Solution File: KRS101+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n026.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 14:18:03 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n026.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 02:55:49 EDT 2024
% 0.19/0.33 % CPUTime :
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% 0.19/0.48
% 0.19/0.48 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.19/0.48
% 0.19/0.48 % Formula: cc_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(cc_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 0.19/0.48
% 0.19/0.48 % Formula: cd_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(cd_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 0.19/0.48
% 0.19/0.48 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 0.19/0.48
% 0.19/0.48 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(cowlThing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 0.19/0.48
% 0.19/0.48 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(rr_substitution_1-1, axiom, ( ( _u12 != _u11) | ~rr(_u12, _u10) | rr(_u11, _u10) )).
% 0.19/0.48
% 0.19/0.48 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(rr_substitution_2-1, axiom, ( ( _u15 != _u14) | ~rr(_u13, _u15) | rr(_u13, _u14) )).
% 0.19/0.48
% 0.19/0.48 % Formula: rs_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(rs_substitution_1-1, axiom, ( ( _u18 != _u17) | ~rs(_u18, _u16) | rs(_u17, _u16) )).
% 0.19/0.48
% 0.19/0.48 % Formula: rs_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(rs_substitution_2-1, axiom, ( ( _u21 != _u20) | ~rs(_u19, _u21) | rs(_u19, _u20) )).
% 0.19/0.48
% 0.19/0.48 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u23 != _u22) | ~xsd_integer(_u23) | xsd_integer(_u22) )).
% 0.19/0.48
% 0.19/0.48 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(xsd_string_substitution_1-1, axiom, ( ( _u25 != _u24) | ~xsd_string(_u25) | xsd_string(_u24) )).
% 0.19/0.48
% 0.19/0.48 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(axiom_0-1, axiom, ( cowlThing(_u26) )).
% 0.19/0.48 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u26) )).
% 0.19/0.48
% 0.19/0.48 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(axiom_1-1, axiom, ( ~xsd_string(_u27) | ~xsd_integer(_u27) )).
% 0.19/0.48 cnf(axiom_1-2, axiom, ( xsd_integer(_u27) | xsd_string(_u27) )).
% 0.19/0.48
% 0.19/0.48 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u42) | ~_def0(_u42, _u31, _u29, _u28, _u30) )).
% 0.19/0.48 cnf(axiom_2-2, axiom, ( ~_def1(_u42) | ~_def2(_u42) | ~rr(_u42, _u41) | ~rs(_u41, _u40) | ~rs(_u41, _u39) | ( _u40 = _u39) | cUnsatisfiable(_u42) )).
% 0.19/0.48 cnf(axiom_2-3, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | ~rr(_u42, _u28) | cd(_u28) )).
% 0.19/0.48 cnf(axiom_2-4, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | ~rr(_u42, _u31) | ~rs(_u31, _u30) | ~rs(_u31, _u29) | ( _u30 = _u29) | cc(_u31) )).
% 0.19/0.48 cnf(axiom_2-5, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | rr(_u42, skolem1(_u42)) )).
% 0.19/0.48 cnf(axiom_2-6, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | rs(skolem1(_u42), skolem2(_u42)) )).
% 0.19/0.48 cnf(axiom_2-7, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | rs(skolem1(_u42), skolem3(_u42)) )).
% 0.19/0.48 cnf(axiom_2-8, axiom, ( _def0(_u42, _u31, _u29, _u28, _u30) | ( skolem2(_u42) != skolem3(_u42)) )).
% 0.19/0.48 cnf(axiom_2-9, axiom, ( _def1(_u42) | rr(_u42, skolem4(_u42)) )).
% 0.19/0.48 cnf(axiom_2-10, axiom, ( _def1(_u42) | ~cd(skolem4(_u42)) )).
% 0.19/0.48 cnf(axiom_2-11, axiom, ( _def2(_u42) | rr(_u42, skolem5(_u42)) )).
% 0.19/0.48 cnf(axiom_2-12, axiom, ( _def2(_u42) | rs(skolem5(_u42), skolem6(_u42)) )).
% 0.19/0.48 cnf(axiom_2-13, axiom, ( _def2(_u42) | rs(skolem5(_u42), skolem7(_u42)) )).
% 0.19/0.48 cnf(axiom_2-14, axiom, ( _def2(_u42) | ( skolem6(_u42) != skolem7(_u42)) )).
% 0.19/0.48 cnf(axiom_2-15, axiom, ( _def2(_u42) | ~cc(skolem5(_u42)) )).
% 0.19/0.48
% 0.19/0.48 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(axiom_3-1, axiom, ( ~cc(_u43) | ~cd(_u43) )).
% 0.19/0.48
% 0.19/0.48 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.19/0.48 cnf(axiom_4-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_36582) )).
% 0.19/0.48
% 0.19/0.48 % Problem matrix:
% 0.19/0.48 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.48 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.48 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.48 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.19/0.48 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 0.19/0.48 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 0.19/0.48 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 0.19/0.48 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.19/0.48 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.19/0.48 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 0.19/0.48 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rs(__eqx_0, __eqx_1) | rs(__eqy_0, __eqy_1) )).
% 0.19/0.48 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.19/0.48 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.19/0.48 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~_def0(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | _def0(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 0.19/0.48 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.19/0.48 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 0.19/0.48 cnf(matrix-22, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.19/0.48 cnf(matrix-23, plain, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 0.19/0.48 cnf(matrix-24, plain, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 0.19/0.48 cnf(matrix-25, plain, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 0.19/0.48 cnf(matrix-26, plain, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 0.19/0.48 cnf(matrix-27, plain, ( ( _u12 != _u11) | ~rr(_u12, _u10) | rr(_u11, _u10) )).
% 0.19/0.48 cnf(matrix-28, plain, ( ( _u15 != _u14) | ~rr(_u13, _u15) | rr(_u13, _u14) )).
% 0.19/0.48 cnf(matrix-29, plain, ( ( _u18 != _u17) | ~rs(_u18, _u16) | rs(_u17, _u16) )).
% 0.19/0.48 cnf(matrix-30, plain, ( ( _u21 != _u20) | ~rs(_u19, _u21) | rs(_u19, _u20) )).
% 0.19/0.48 cnf(matrix-31, plain, ( ( _u23 != _u22) | ~xsd_integer(_u23) | xsd_integer(_u22) )).
% 0.19/0.48 cnf(matrix-32, plain, ( ( _u25 != _u24) | ~xsd_string(_u25) | xsd_string(_u24) )).
% 0.19/0.48 cnf(matrix-33, plain, ( cowlThing(_u26) )).
% 0.19/0.48 cnf(matrix-34, plain, ( ~cowlNothing(_u26) )).
% 0.19/0.48 cnf(matrix-35, plain, ( ~xsd_string(_u27) | ~xsd_integer(_u27) )).
% 0.19/0.48 cnf(matrix-36, plain, ( xsd_integer(_u27) | xsd_string(_u27) )).
% 0.19/0.48 cnf(matrix-37, plain, ( ~cUnsatisfiable(_u42) | ~_def0(_u42, _u31, _u29, _u28, _u30) )).
% 0.19/0.48 cnf(matrix-38, plain, ( ~_def1(_u42) | ~_def2(_u42) | ~rr(_u42, _u41) | ~rs(_u41, _u40) | ~rs(_u41, _u39) | ( _u40 = _u39) | cUnsatisfiable(_u42) )).
% 0.19/0.48 cnf(matrix-39, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | ~rr(_u42, _u28) | cd(_u28) )).
% 0.19/0.48 cnf(matrix-40, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | ~rr(_u42, _u31) | ~rs(_u31, _u30) | ~rs(_u31, _u29) | ( _u30 = _u29) | cc(_u31) )).
% 0.19/0.48 cnf(matrix-41, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | rr(_u42, skolem1(_u42)) )).
% 0.19/0.48 cnf(matrix-42, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | rs(skolem1(_u42), skolem2(_u42)) )).
% 0.19/0.48 cnf(matrix-43, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | rs(skolem1(_u42), skolem3(_u42)) )).
% 0.19/0.48 cnf(matrix-44, plain, ( _def0(_u42, _u31, _u29, _u28, _u30) | ( skolem2(_u42) != skolem3(_u42)) )).
% 0.19/0.48 cnf(matrix-45, plain, ( _def1(_u42) | rr(_u42, skolem4(_u42)) )).
% 0.19/0.48 cnf(matrix-46, plain, ( _def1(_u42) | ~cd(skolem4(_u42)) )).
% 0.19/0.48 cnf(matrix-47, plain, ( _def2(_u42) | rr(_u42, skolem5(_u42)) )).
% 0.19/0.48 cnf(matrix-48, plain, ( _def2(_u42) | rs(skolem5(_u42), skolem6(_u42)) )).
% 0.19/0.48 cnf(matrix-49, plain, ( _def2(_u42) | rs(skolem5(_u42), skolem7(_u42)) )).
% 0.19/0.48 cnf(matrix-50, plain, ( _def2(_u42) | ( skolem6(_u42) != skolem7(_u42)) )).
% 0.19/0.48 cnf(matrix-51, plain, ( _def2(_u42) | ~cc(skolem5(_u42)) )).
% 0.19/0.48 cnf(matrix-52, plain, ( ~cc(_u43) | ~cd(_u43) )).
% 0.19/0.48 cnf(matrix-53, plain, ( cUnsatisfiable(i2003_11_14_17_20_36582) )).
% 0.19/0.48
% 0.19/0.48 % Proof stack:
% 0.19/0.48 cnf(proof-stack, plain,
% 0.19/0.48 proof_stack(
% 0.19/0.48 start(52),
% 0.19/0.48 left_branch(0, 40, 5, 2),
% 0.19/0.48 left_branch(0, 37, 1, 3),
% 0.19/0.48 left_branch(0, 53, 0, 4),
% 0.19/0.48 right_branch(4),
% 0.19/0.48 right_branch(3),
% 0.19/0.48 left_branch(0, 44, 1, 4),
% 0.19/0.48 left_branch(0, 37, 1, 5),
% 0.19/0.48 left_branch(0, 53, 0, 6),
% 0.19/0.48 right_branch(6),
% 0.19/0.48 right_branch(5),
% 0.19/0.48 right_branch(4),
% 0.19/0.48 left_branch(0, 43, 1, 5),
% 0.19/0.48 left_branch(0, 37, 1, 6),
% 0.19/0.48 left_branch(0, 53, 0, 7),
% 0.19/0.48 right_branch(7),
% 0.19/0.48 right_branch(6),
% 0.19/0.48 right_branch(5),
% 0.19/0.48 left_branch(0, 42, 1, 6),
% 0.19/0.48 left_branch(0, 37, 1, 7),
% 0.19/0.48 left_branch(0, 53, 0, 8),
% 0.19/0.48 right_branch(8),
% 0.19/0.48 right_branch(7),
% 0.19/0.48 right_branch(6),
% 0.19/0.48 left_branch(0, 41, 1, 7),
% 0.19/0.48 left_branch(0, 37, 1, 8),
% 0.19/0.48 left_branch(0, 53, 0, 9),
% 0.19/0.48 right_branch(9),
% 0.19/0.48 right_branch(8),
% 0.19/0.48 right_branch(7),
% 0.19/0.48 right_branch(2),
% 0.19/0.48 left_branch(0, 39, 2, 3),
% 0.19/0.48 left_branch(0, 37, 1, 4),
% 0.19/0.48 left_branch(0, 53, 0, 5),
% 0.19/0.48 right_branch(5),
% 0.19/0.48 right_branch(4),
% 0.19/0.48 left_branch(0, 41, 1, 5),
% 0.19/0.48 left_branch(0, 37, 1, 6),
% 0.19/0.48 left_branch(0, 53, 0, 7),
% 0.19/0.48 right_branch(7),
% 0.19/0.48 right_branch(6),
% 0.19/0.48 right_branch(5),
% 0.19/0.48 right_branch(3)
% 0.19/0.48 )).
% 0.19/0.48 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------