TSTP Solution File: KRS088+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS088+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 : n021.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 14:18:01 EDT 2024
% Result : Unsatisfiable 13.74s 13.90s
% Output : Proof 13.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n021.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 : Thu Mar 21 02:37:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 13.74/13.90 % SZS status Unsatisfiable for theBenchmark
% 13.74/13.90 % SZS output start Proof for theBenchmark
% 13.74/13.90
% 13.74/13.90 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 13.74/13.90
% 13.74/13.90 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 13.74/13.90
% 13.74/13.90 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 13.74/13.90
% 13.74/13.90 % Formula: cp1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(cp1_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rf_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rf_substitution_1-1, axiom, ( ( _u10 != _u9) | ~rf(_u10, _u8) | rf(_u9, _u8) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rf_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rf_substitution_2-1, axiom, ( ( _u13 != _u12) | ~rf(_u11, _u13) | rf(_u11, _u12) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rinvF_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rinvF_substitution_1-1, axiom, ( ( _u16 != _u15) | ~rinvF(_u16, _u14) | rinvF(_u15, _u14) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rinvF_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rinvF_substitution_2-1, axiom, ( ( _u19 != _u18) | ~rinvF(_u17, _u19) | rinvF(_u17, _u18) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rinvR_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rinvR_substitution_1-1, axiom, ( ( _u22 != _u21) | ~rinvR(_u22, _u20) | rinvR(_u21, _u20) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rinvR_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rinvR_substitution_2-1, axiom, ( ( _u25 != _u24) | ~rinvR(_u23, _u25) | rinvR(_u23, _u24) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rr_substitution_1-1, axiom, ( ( _u28 != _u27) | ~rr(_u28, _u26) | rr(_u27, _u26) )).
% 13.74/13.90
% 13.74/13.90 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(rr_substitution_2-1, axiom, ( ( _u31 != _u30) | ~rr(_u29, _u31) | rr(_u29, _u30) )).
% 13.74/13.90
% 13.74/13.90 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u33 != _u32) | ~xsd_integer(_u33) | xsd_integer(_u32) )).
% 13.74/13.90
% 13.74/13.90 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(xsd_string_substitution_1-1, axiom, ( ( _u35 != _u34) | ~xsd_string(_u35) | xsd_string(_u34) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_0-1, axiom, ( cowlThing(_u36) )).
% 13.74/13.90 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u36) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_1-1, axiom, ( ~xsd_string(_u37) | ~xsd_integer(_u37) )).
% 13.74/13.90 cnf(axiom_1-2, axiom, ( xsd_integer(_u37) | xsd_string(_u37) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u44) | ~_def1(_u39, _u44) )).
% 13.74/13.90 cnf(axiom_2-2, axiom, ( ~rf(_u44, _u43) | ~_def2(_u41, _u43, _u44) | ~cp1(_u43) | cUnsatisfiable(_u44) )).
% 13.74/13.90 cnf(axiom_2-3, axiom, ( _def1(_u39, _u44) | rf(_u44, skolem1(_u44)) )).
% 13.74/13.90 cnf(axiom_2-4, axiom, ( _def1(_u39, _u44) | ~rinvF(skolem1(_u44), _u39) | ~_def0(_u39, _u44) )).
% 13.74/13.90 cnf(axiom_2-5, axiom, ( _def1(_u39, _u44) | cp1(skolem1(_u44)) )).
% 13.74/13.90 cnf(axiom_2-6, axiom, ( _def0(_u39, _u44) | rf(_u39, skolem2(_u44, _u39)) )).
% 13.74/13.90 cnf(axiom_2-7, axiom, ( _def0(_u39, _u44) | ~cp1(skolem2(_u44, _u39)) )).
% 13.74/13.90 cnf(axiom_2-8, axiom, ( _def2(_u41, _u43, _u44) | rinvF(_u43, skolem3(_u44, _u43)) )).
% 13.74/13.90 cnf(axiom_2-9, axiom, ( _def2(_u41, _u43, _u44) | ~rf(skolem3(_u44, _u43), _u41) | cp1(_u41) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_3-1, axiom, ( ~rf(_u47, _u46) | ~rf(_u47, _u45) | ( _u46 = _u45) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_4-1, axiom, ( ~rinvF(_u49, _u48) | rf(_u48, _u49) )).
% 13.74/13.90 cnf(axiom_4-2, axiom, ( ~rf(_u48, _u49) | rinvF(_u49, _u48) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_5-1, axiom, ( ~rinvR(_u51, _u50) | rr(_u50, _u51) )).
% 13.74/13.90 cnf(axiom_5-2, axiom, ( ~rr(_u50, _u51) | rinvR(_u51, _u50) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_6-1, axiom, ( ~rr(_u54, _u53) | ~rr(_u53, _u52) | rr(_u54, _u52) )).
% 13.74/13.90
% 13.74/13.90 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 13.74/13.90 cnf(axiom_7-1, axiom, ( cUnsatisfiable(i2003_11_14_17_19_49673) )).
% 13.74/13.90
% 13.74/13.90 % Problem matrix:
% 13.74/13.90 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 13.74/13.90 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 13.74/13.90 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 13.74/13.90 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 13.74/13.90 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 13.74/13.90 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 13.74/13.90 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 13.74/13.90 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 13.74/13.90 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 13.74/13.90 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cp1(__eqx_0) | cp1(__eqy_0) )).
% 13.74/13.90 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf(__eqx_0, __eqx_1) | rf(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF(__eqx_0, __eqx_1) | rinvF(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvR(__eqx_0, __eqx_1) | rinvR(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 13.74/13.90 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 13.74/13.90 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 13.74/13.90 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def2(__eqx_0, __eqx_1, __eqx_2) | _def2(__eqy_0, __eqy_1, __eqy_2) )).
% 13.74/13.90 cnf(matrix-19, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 13.74/13.90 cnf(matrix-20, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 13.74/13.90 cnf(matrix-21, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 13.74/13.90 cnf(matrix-22, plain, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 13.74/13.90 cnf(matrix-23, plain, ( ( _u10 != _u9) | ~rf(_u10, _u8) | rf(_u9, _u8) )).
% 13.74/13.90 cnf(matrix-24, plain, ( ( _u13 != _u12) | ~rf(_u11, _u13) | rf(_u11, _u12) )).
% 13.74/13.90 cnf(matrix-25, plain, ( ( _u16 != _u15) | ~rinvF(_u16, _u14) | rinvF(_u15, _u14) )).
% 13.74/13.90 cnf(matrix-26, plain, ( ( _u19 != _u18) | ~rinvF(_u17, _u19) | rinvF(_u17, _u18) )).
% 13.74/13.90 cnf(matrix-27, plain, ( ( _u22 != _u21) | ~rinvR(_u22, _u20) | rinvR(_u21, _u20) )).
% 13.74/13.90 cnf(matrix-28, plain, ( ( _u25 != _u24) | ~rinvR(_u23, _u25) | rinvR(_u23, _u24) )).
% 13.74/13.90 cnf(matrix-29, plain, ( ( _u28 != _u27) | ~rr(_u28, _u26) | rr(_u27, _u26) )).
% 13.74/13.90 cnf(matrix-30, plain, ( ( _u31 != _u30) | ~rr(_u29, _u31) | rr(_u29, _u30) )).
% 13.74/13.90 cnf(matrix-31, plain, ( ( _u33 != _u32) | ~xsd_integer(_u33) | xsd_integer(_u32) )).
% 13.74/13.90 cnf(matrix-32, plain, ( ( _u35 != _u34) | ~xsd_string(_u35) | xsd_string(_u34) )).
% 13.74/13.90 cnf(matrix-33, plain, ( cowlThing(_u36) )).
% 13.74/13.90 cnf(matrix-34, plain, ( ~cowlNothing(_u36) )).
% 13.74/13.90 cnf(matrix-35, plain, ( ~xsd_string(_u37) | ~xsd_integer(_u37) )).
% 13.74/13.90 cnf(matrix-36, plain, ( xsd_integer(_u37) | xsd_string(_u37) )).
% 13.74/13.90 cnf(matrix-37, plain, ( ~cUnsatisfiable(_u44) | ~_def1(_u39, _u44) )).
% 13.74/13.90 cnf(matrix-38, plain, ( ~rf(_u44, _u43) | ~_def2(_u41, _u43, _u44) | ~cp1(_u43) | cUnsatisfiable(_u44) )).
% 13.74/13.90 cnf(matrix-39, plain, ( _def1(_u39, _u44) | rf(_u44, skolem1(_u44)) )).
% 13.74/13.90 cnf(matrix-40, plain, ( _def1(_u39, _u44) | ~rinvF(skolem1(_u44), _u39) | ~_def0(_u39, _u44) )).
% 13.74/13.90 cnf(matrix-41, plain, ( _def1(_u39, _u44) | cp1(skolem1(_u44)) )).
% 13.74/13.90 cnf(matrix-42, plain, ( _def0(_u39, _u44) | rf(_u39, skolem2(_u44, _u39)) )).
% 13.74/13.90 cnf(matrix-43, plain, ( _def0(_u39, _u44) | ~cp1(skolem2(_u44, _u39)) )).
% 13.74/13.90 cnf(matrix-44, plain, ( _def2(_u41, _u43, _u44) | rinvF(_u43, skolem3(_u44, _u43)) )).
% 13.74/13.90 cnf(matrix-45, plain, ( _def2(_u41, _u43, _u44) | ~rf(skolem3(_u44, _u43), _u41) | cp1(_u41) )).
% 13.74/13.90 cnf(matrix-46, plain, ( ~rf(_u47, _u46) | ~rf(_u47, _u45) | ( _u46 = _u45) )).
% 13.74/13.90 cnf(matrix-47, plain, ( ~rinvF(_u49, _u48) | rf(_u48, _u49) )).
% 13.74/13.90 cnf(matrix-48, plain, ( ~rf(_u48, _u49) | rinvF(_u49, _u48) )).
% 13.74/13.90 cnf(matrix-49, plain, ( ~rinvR(_u51, _u50) | rr(_u50, _u51) )).
% 13.74/13.90 cnf(matrix-50, plain, ( ~rr(_u50, _u51) | rinvR(_u51, _u50) )).
% 13.74/13.90 cnf(matrix-51, plain, ( ~rr(_u54, _u53) | ~rr(_u53, _u52) | rr(_u54, _u52) )).
% 13.74/13.90 cnf(matrix-52, plain, ( cUnsatisfiable(i2003_11_14_17_19_49673) )).
% 13.74/13.90
% 13.74/13.90 % Proof stack:
% 13.74/13.90 cnf(proof-stack, plain,
% 13.74/13.90 proof_stack(
% 13.74/13.90 start(37),
% 13.74/13.90 left_branch(0, 52, 0, 2),
% 13.74/13.90 right_branch(2),
% 13.74/13.90 left_branch(0, 41, 0, 3),
% 13.74/13.90 left_branch(0, 22, 1, 4),
% 13.74/13.90 left_branch(0, 46, 2, 5),
% 13.74/13.90 left_branch(0, 39, 1, 6),
% 13.74/13.90 reduction(0, 0),
% 13.74/13.90 right_branch(6),
% 13.74/13.90 left_branch(0, 42, 1, 7),
% 13.74/13.90 left_branch(0, 40, 2, 8),
% 13.74/13.90 reduction(0, 0),
% 13.74/13.90 left_branch(0, 48, 1, 10),
% 13.74/13.90 lemmata(0, 1),
% 13.74/13.90 right_branch(10),
% 13.74/13.90 right_branch(8),
% 13.74/13.90 right_branch(7),
% 13.74/13.90 right_branch(5),
% 13.74/13.90 left_branch(0, 43, 1, 6),
% 13.74/13.90 left_branch(0, 40, 2, 7),
% 13.74/13.90 reduction(0, 0),
% 13.74/13.90 left_branch(0, 48, 1, 9),
% 13.74/13.90 left_branch(0, 39, 1, 10),
% 13.74/13.90 reduction(0, 0),
% 13.74/13.90 right_branch(10),
% 13.74/13.90 right_branch(9),
% 13.74/13.90 right_branch(7),
% 13.74/13.90 right_branch(6),
% 13.74/13.90 right_branch(4),
% 13.74/13.90 right_branch(3)
% 13.74/13.90 )).
% 13.74/13.90 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------