TSTP Solution File: KRS106+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS106+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 : n004.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 14:18:04 EDT 2024
% Result : Unsatisfiable 21.17s 21.34s
% Output : Proof 21.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n004.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 : Thu Mar 21 02:24:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 21.17/21.34 % SZS status Unsatisfiable for theBenchmark
% 21.17/21.34 % SZS output start Proof for theBenchmark
% 21.17/21.34
% 21.17/21.34 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 21.17/21.34
% 21.17/21.34 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 21.17/21.34
% 21.17/21.34 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 21.17/21.34
% 21.17/21.34 % Formula: cp1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cp1_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 21.17/21.34
% 21.17/21.34 % Formula: cp1xcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cp1xcomp_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cp1xcomp(_u9) | cp1xcomp(_u8) )).
% 21.17/21.34
% 21.17/21.34 % Formula: cp2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(cp2_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cp2(_u11) | cp2(_u10) )).
% 21.17/21.34
% 21.17/21.34 % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(ra_Px1_substitution_1-1, axiom, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 21.17/21.34
% 21.17/21.34 % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(ra_Px1_substitution_2-1, axiom, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf1_substitution_1-1, axiom, ( ( _u20 != _u19) | ~rf1(_u20, _u18) | rf1(_u19, _u18) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf1_substitution_2-1, axiom, ( ( _u23 != _u22) | ~rf1(_u21, _u23) | rf1(_u21, _u22) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf2_substitution_1-1, axiom, ( ( _u26 != _u25) | ~rf2(_u26, _u24) | rf2(_u25, _u24) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf2_substitution_2-1, axiom, ( ( _u29 != _u28) | ~rf2(_u27, _u29) | rf2(_u27, _u28) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf3_substitution_1-1, axiom, ( ( _u32 != _u31) | ~rf3(_u32, _u30) | rf3(_u31, _u30) )).
% 21.17/21.34
% 21.17/21.34 % Formula: rf3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(rf3_substitution_2-1, axiom, ( ( _u35 != _u34) | ~rf3(_u33, _u35) | rf3(_u33, _u34) )).
% 21.17/21.34
% 21.17/21.34 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u37 != _u36) | ~xsd_integer(_u37) | xsd_integer(_u36) )).
% 21.17/21.34
% 21.17/21.34 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(xsd_string_substitution_1-1, axiom, ( ( _u39 != _u38) | ~xsd_string(_u39) | xsd_string(_u38) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_0-1, axiom, ( cowlThing(_u40) )).
% 21.17/21.34 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u40) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_1-1, axiom, ( ~xsd_string(_u41) | ~xsd_integer(_u41) )).
% 21.17/21.34 cnf(axiom_1-2, axiom, ( xsd_integer(_u41) | xsd_string(_u41) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u48) | ~_def0(_u48) )).
% 21.17/21.34 cnf(axiom_2-2, axiom, ( ~rf3(_u48, _u45) | ~cp2(_u45) | ~rf1(_u48, _u46) | ~cp1(_u46) | ~rf2(_u48, _u47) | ~cp1xcomp(_u47) | cUnsatisfiable(_u48) )).
% 21.17/21.34 cnf(axiom_2-3, axiom, ( _def0(_u48) | rf3(_u48, skolem1(_u48)) )).
% 21.17/21.34 cnf(axiom_2-4, axiom, ( _def0(_u48) | cp2(skolem1(_u48)) )).
% 21.17/21.34 cnf(axiom_2-5, axiom, ( _def0(_u48) | rf1(_u48, skolem2(_u48)) )).
% 21.17/21.34 cnf(axiom_2-6, axiom, ( _def0(_u48) | cp1(skolem2(_u48)) )).
% 21.17/21.34 cnf(axiom_2-7, axiom, ( _def0(_u48) | rf2(_u48, skolem3(_u48)) )).
% 21.17/21.34 cnf(axiom_2-8, axiom, ( _def0(_u48) | cp1xcomp(skolem3(_u48)) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_3-1, axiom, ( ~cp1(_u51) | ~ra_Px1(_u51, _u49) )).
% 21.17/21.34 cnf(axiom_3-2, axiom, ( ra_Px1(_u51, skolem4(_u51)) | cp1(_u51) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_4-1, axiom, ( ~cp1xcomp(_u54) | ra_Px1(_u54, skolem5(_u54)) )).
% 21.17/21.34 cnf(axiom_4-2, axiom, ( ~ra_Px1(_u54, _u53) | cp1xcomp(_u54) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_5-1, axiom, ( ~rf1(_u57, _u56) | ~rf1(_u57, _u55) | ( _u56 = _u55) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_6-1, axiom, ( ~rf2(_u60, _u59) | ~rf2(_u60, _u58) | ( _u59 = _u58) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_7-1, axiom, ( ~rf3(_u63, _u62) | ~rf3(_u63, _u61) | ( _u62 = _u61) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_8-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_57644) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_9-1, axiom, ( ~rf3(_u65, _u64) | rf1(_u65, _u64) )).
% 21.17/21.34
% 21.17/21.34 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 21.17/21.34 cnf(axiom_10-1, axiom, ( ~rf3(_u67, _u66) | rf2(_u67, _u66) )).
% 21.17/21.34
% 21.17/21.34 % Problem matrix:
% 21.17/21.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 21.17/21.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 21.17/21.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 21.17/21.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 21.17/21.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 21.17/21.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 21.17/21.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 21.17/21.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 21.17/21.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 21.17/21.34 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 21.17/21.34 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 21.17/21.34 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cp1(__eqx_0) | cp1(__eqy_0) )).
% 21.17/21.34 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cp1xcomp(__eqx_0) | cp1xcomp(__eqy_0) )).
% 21.17/21.34 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cp2(__eqx_0) | cp2(__eqy_0) )).
% 21.17/21.34 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 21.17/21.34 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf1(__eqx_0, __eqx_1) | rf1(__eqy_0, __eqy_1) )).
% 21.17/21.34 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf2(__eqx_0, __eqx_1) | rf2(__eqy_0, __eqy_1) )).
% 21.17/21.34 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf3(__eqx_0, __eqx_1) | rf3(__eqy_0, __eqy_1) )).
% 21.17/21.34 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 21.17/21.34 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 21.17/21.34 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 21.17/21.34 cnf(matrix-21, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 21.17/21.34 cnf(matrix-22, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 21.17/21.34 cnf(matrix-23, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 21.17/21.34 cnf(matrix-24, plain, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 21.17/21.34 cnf(matrix-25, plain, ( ( _u9 != _u8) | ~cp1xcomp(_u9) | cp1xcomp(_u8) )).
% 21.17/21.34 cnf(matrix-26, plain, ( ( _u11 != _u10) | ~cp2(_u11) | cp2(_u10) )).
% 21.17/21.34 cnf(matrix-27, plain, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 21.17/21.34 cnf(matrix-28, plain, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 21.17/21.34 cnf(matrix-29, plain, ( ( _u20 != _u19) | ~rf1(_u20, _u18) | rf1(_u19, _u18) )).
% 21.17/21.34 cnf(matrix-30, plain, ( ( _u23 != _u22) | ~rf1(_u21, _u23) | rf1(_u21, _u22) )).
% 21.17/21.34 cnf(matrix-31, plain, ( ( _u26 != _u25) | ~rf2(_u26, _u24) | rf2(_u25, _u24) )).
% 21.17/21.34 cnf(matrix-32, plain, ( ( _u29 != _u28) | ~rf2(_u27, _u29) | rf2(_u27, _u28) )).
% 21.17/21.34 cnf(matrix-33, plain, ( ( _u32 != _u31) | ~rf3(_u32, _u30) | rf3(_u31, _u30) )).
% 21.17/21.34 cnf(matrix-34, plain, ( ( _u35 != _u34) | ~rf3(_u33, _u35) | rf3(_u33, _u34) )).
% 21.17/21.34 cnf(matrix-35, plain, ( ( _u37 != _u36) | ~xsd_integer(_u37) | xsd_integer(_u36) )).
% 21.17/21.34 cnf(matrix-36, plain, ( ( _u39 != _u38) | ~xsd_string(_u39) | xsd_string(_u38) )).
% 21.17/21.34 cnf(matrix-37, plain, ( cowlThing(_u40) )).
% 21.17/21.34 cnf(matrix-38, plain, ( ~cowlNothing(_u40) )).
% 21.17/21.34 cnf(matrix-39, plain, ( ~xsd_string(_u41) | ~xsd_integer(_u41) )).
% 21.17/21.34 cnf(matrix-40, plain, ( xsd_integer(_u41) | xsd_string(_u41) )).
% 21.17/21.34 cnf(matrix-41, plain, ( ~cUnsatisfiable(_u48) | ~_def0(_u48) )).
% 21.17/21.34 cnf(matrix-42, plain, ( ~rf3(_u48, _u45) | ~cp2(_u45) | ~rf1(_u48, _u46) | ~cp1(_u46) | ~rf2(_u48, _u47) | ~cp1xcomp(_u47) | cUnsatisfiable(_u48) )).
% 21.17/21.34 cnf(matrix-43, plain, ( _def0(_u48) | rf3(_u48, skolem1(_u48)) )).
% 21.17/21.34 cnf(matrix-44, plain, ( _def0(_u48) | cp2(skolem1(_u48)) )).
% 21.17/21.34 cnf(matrix-45, plain, ( _def0(_u48) | rf1(_u48, skolem2(_u48)) )).
% 21.17/21.34 cnf(matrix-46, plain, ( _def0(_u48) | cp1(skolem2(_u48)) )).
% 21.17/21.34 cnf(matrix-47, plain, ( _def0(_u48) | rf2(_u48, skolem3(_u48)) )).
% 21.17/21.34 cnf(matrix-48, plain, ( _def0(_u48) | cp1xcomp(skolem3(_u48)) )).
% 21.17/21.34 cnf(matrix-49, plain, ( ~cp1(_u51) | ~ra_Px1(_u51, _u49) )).
% 21.17/21.34 cnf(matrix-50, plain, ( ra_Px1(_u51, skolem4(_u51)) | cp1(_u51) )).
% 21.17/21.34 cnf(matrix-51, plain, ( ~cp1xcomp(_u54) | ra_Px1(_u54, skolem5(_u54)) )).
% 21.17/21.34 cnf(matrix-52, plain, ( ~ra_Px1(_u54, _u53) | cp1xcomp(_u54) )).
% 21.17/21.34 cnf(matrix-53, plain, ( ~rf1(_u57, _u56) | ~rf1(_u57, _u55) | ( _u56 = _u55) )).
% 21.17/21.34 cnf(matrix-54, plain, ( ~rf2(_u60, _u59) | ~rf2(_u60, _u58) | ( _u59 = _u58) )).
% 21.17/21.34 cnf(matrix-55, plain, ( ~rf3(_u63, _u62) | ~rf3(_u63, _u61) | ( _u62 = _u61) )).
% 21.17/21.34 cnf(matrix-56, plain, ( cUnsatisfiable(i2003_11_14_17_20_57644) )).
% 21.17/21.34 cnf(matrix-57, plain, ( ~rf3(_u65, _u64) | rf1(_u65, _u64) )).
% 21.17/21.34 cnf(matrix-58, plain, ( ~rf3(_u67, _u66) | rf2(_u67, _u66) )).
% 21.17/21.34
% 21.17/21.34 % Proof stack:
% 21.17/21.34 cnf(proof-stack, plain,
% 21.17/21.34 proof_stack(
% 21.17/21.34 start(41),
% 21.17/21.34 left_branch(0, 56, 0, 2),
% 21.17/21.34 right_branch(2),
% 21.17/21.34 left_branch(0, 47, 0, 3),
% 21.17/21.34 left_branch(0, 54, 0, 4),
% 21.17/21.34 left_branch(0, 27, 0, 5),
% 21.17/21.34 left_branch(0, 49, 1, 6),
% 21.17/21.34 left_branch(0, 46, 1, 7),
% 21.17/21.34 reduction(0, 0),
% 21.17/21.34 right_branch(7),
% 21.17/21.34 right_branch(6),
% 21.17/21.34 left_branch(0, 51, 1, 7),
% 21.17/21.34 left_branch(0, 48, 1, 8),
% 21.17/21.34 reduction(0, 0),
% 21.17/21.34 right_branch(8),
% 21.17/21.34 right_branch(7),
% 21.17/21.34 right_branch(5),
% 21.17/21.34 left_branch(0, 32, 2, 6),
% 21.17/21.34 left_branch(0, 53, 2, 7),
% 21.17/21.34 left_branch(0, 57, 1, 8),
% 21.17/21.34 left_branch(0, 43, 1, 9),
% 21.17/21.34 reduction(0, 0),
% 21.17/21.34 right_branch(9),
% 21.17/21.34 right_branch(8),
% 21.17/21.34 left_branch(0, 45, 1, 9),
% 21.17/21.34 reduction(0, 0),
% 21.17/21.34 right_branch(9),
% 21.17/21.34 right_branch(7),
% 21.17/21.34 left_branch(0, 58, 1, 8),
% 21.17/21.34 left_branch(0, 43, 1, 9),
% 21.17/21.34 reduction(0, 0),
% 21.17/21.34 right_branch(9),
% 21.17/21.34 right_branch(8),
% 21.17/21.34 right_branch(6),
% 21.17/21.34 right_branch(4),
% 21.17/21.34 right_branch(3)
% 21.17/21.34 )).
% 21.17/21.34 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------