TSTP Solution File: KRS072+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS072+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 14:17:59 EDT 2024
% Result : Unsatisfiable 0.56s 0.78s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % 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 02:55:19 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.56/0.78 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.78 % SZS output start Proof for theBenchmark
% 0.56/0.78
% 0.56/0.78 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cp1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cp1_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cp2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cp2_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cp2(_u9) | cp2(_u8) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cp3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cp3_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cp3(_u11) | cp3(_u10) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cp4_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cp4_substitution_1-1, axiom, ( ( _u13 != _u12) | ~cp4(_u13) | cp4(_u12) )).
% 0.56/0.78
% 0.56/0.78 % Formula: cp5_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(cp5_substitution_1-1, axiom, ( ( _u15 != _u14) | ~cp5(_u15) | cp5(_u14) )).
% 0.56/0.78
% 0.56/0.78 % Formula: rinvR_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(rinvR_substitution_1-1, axiom, ( ( _u18 != _u17) | ~rinvR(_u18, _u16) | rinvR(_u17, _u16) )).
% 0.56/0.78
% 0.56/0.78 % Formula: rinvR_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(rinvR_substitution_2-1, axiom, ( ( _u21 != _u20) | ~rinvR(_u19, _u21) | rinvR(_u19, _u20) )).
% 0.56/0.78
% 0.56/0.78 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(rr_substitution_1-1, axiom, ( ( _u24 != _u23) | ~rr(_u24, _u22) | rr(_u23, _u22) )).
% 0.56/0.78
% 0.56/0.78 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(rr_substitution_2-1, axiom, ( ( _u27 != _u26) | ~rr(_u25, _u27) | rr(_u25, _u26) )).
% 0.56/0.78
% 0.56/0.78 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u29 != _u28) | ~xsd_integer(_u29) | xsd_integer(_u28) )).
% 0.56/0.78
% 0.56/0.78 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(xsd_string_substitution_1-1, axiom, ( ( _u31 != _u30) | ~xsd_string(_u31) | xsd_string(_u30) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_0-1, axiom, ( cowlThing(_u32) )).
% 0.56/0.78 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u32) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_1-1, axiom, ( ~xsd_string(_u33) | ~xsd_integer(_u33) )).
% 0.56/0.78 cnf(axiom_1-2, axiom, ( xsd_integer(_u33) | xsd_string(_u33) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u42) | ~_def0(_u34, _u35, _u42) )).
% 0.56/0.78 cnf(axiom_2-2, axiom, ( ~rinvR(_u42, _u41) | ~_def1(_u41, _u42) | ~rr(_u41, _u40) | ~cp1(_u40) | ~cp2(_u42) | cUnsatisfiable(_u42) )).
% 0.56/0.78 cnf(axiom_2-3, axiom, ( _def0(_u34, _u35, _u42) | rinvR(_u42, skolem1(_u42)) )).
% 0.56/0.78 cnf(axiom_2-4, axiom, ( _def0(_u34, _u35, _u42) | ~rr(skolem1(_u42), _u35) | ~rr(skolem1(_u42), _u34) | ( _u35 = _u34) )).
% 0.56/0.78 cnf(axiom_2-5, axiom, ( _def0(_u34, _u35, _u42) | rr(skolem1(_u42), skolem2(_u42)) )).
% 0.56/0.78 cnf(axiom_2-6, axiom, ( _def0(_u34, _u35, _u42) | cp1(skolem2(_u42)) )).
% 0.56/0.78 cnf(axiom_2-7, axiom, ( _def0(_u34, _u35, _u42) | cp2(_u42) )).
% 0.56/0.78 cnf(axiom_2-8, axiom, ( _def1(_u41, _u42) | rr(_u41, skolem3(_u42, _u41)) )).
% 0.56/0.78 cnf(axiom_2-9, axiom, ( _def1(_u41, _u42) | rr(_u41, skolem4(_u42, _u41)) )).
% 0.56/0.78 cnf(axiom_2-10, axiom, ( _def1(_u41, _u42) | ( skolem3(_u42, _u41) != skolem4(_u42, _u41)) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_3-1, axiom, ( ~cp1(_u43) | ~_def2(_u43) )).
% 0.56/0.78 cnf(axiom_3-2, axiom, ( _def2(_u43) | ~cp3(_u43) )).
% 0.56/0.78 cnf(axiom_3-3, axiom, ( _def2(_u43) | ~cp2(_u43) )).
% 0.56/0.78 cnf(axiom_3-4, axiom, ( _def2(_u43) | ~cp4(_u43) )).
% 0.56/0.78 cnf(axiom_3-5, axiom, ( _def2(_u43) | ~cp5(_u43) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_4-1, axiom, ( ~cp2(_u44) | ~_def3(_u44) )).
% 0.56/0.78 cnf(axiom_4-2, axiom, ( _def3(_u44) | ~cp3(_u44) )).
% 0.56/0.78 cnf(axiom_4-3, axiom, ( _def3(_u44) | ~cp4(_u44) )).
% 0.56/0.78 cnf(axiom_4-4, axiom, ( _def3(_u44) | ~cp5(_u44) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_5-1, axiom, ( ~cp3(_u45) | ~_def4(_u45) )).
% 0.56/0.78 cnf(axiom_5-2, axiom, ( _def4(_u45) | ~cp4(_u45) )).
% 0.56/0.78 cnf(axiom_5-3, axiom, ( _def4(_u45) | ~cp5(_u45) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_6-1, axiom, ( ~cp4(_u46) | ~cp5(_u46) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_7-1, axiom, ( ~rinvR(_u48, _u47) | rr(_u47, _u48) )).
% 0.56/0.78 cnf(axiom_7-2, axiom, ( ~rr(_u47, _u48) | rinvR(_u48, _u47) )).
% 0.56/0.78
% 0.56/0.78 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 0.56/0.78 cnf(axiom_8-1, axiom, ( cUnsatisfiable(i2003_11_14_17_18_50190) )).
% 0.56/0.78
% 0.56/0.78 % Problem matrix:
% 0.56/0.78 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.56/0.78 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.56/0.78 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.56/0.78 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.56/0.78 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.56/0.78 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.56/0.78 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.56/0.78 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 0.56/0.78 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.56/0.78 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.56/0.78 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cp1(__eqx_0) | cp1(__eqy_0) )).
% 0.56/0.78 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cp2(__eqx_0) | cp2(__eqy_0) )).
% 0.56/0.78 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cp3(__eqx_0) | cp3(__eqy_0) )).
% 0.56/0.78 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cp4(__eqx_0) | cp4(__eqy_0) )).
% 0.56/0.78 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cp5(__eqx_0) | cp5(__eqy_0) )).
% 0.56/0.78 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvR(__eqx_0, __eqx_1) | rinvR(__eqy_0, __eqy_1) )).
% 0.56/0.78 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 0.56/0.78 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.56/0.78 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.56/0.78 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def0(__eqx_0, __eqx_1, __eqx_2) | _def0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.56/0.78 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 0.56/0.78 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 0.56/0.78 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~_def3(__eqx_0) | _def3(__eqy_0) )).
% 0.56/0.78 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~_def4(__eqx_0) | _def4(__eqy_0) )).
% 0.56/0.78 cnf(matrix-24, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.56/0.78 cnf(matrix-25, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 0.56/0.78 cnf(matrix-26, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 0.56/0.78 cnf(matrix-27, plain, ( ( _u7 != _u6) | ~cp1(_u7) | cp1(_u6) )).
% 0.56/0.78 cnf(matrix-28, plain, ( ( _u9 != _u8) | ~cp2(_u9) | cp2(_u8) )).
% 0.56/0.78 cnf(matrix-29, plain, ( ( _u11 != _u10) | ~cp3(_u11) | cp3(_u10) )).
% 0.56/0.78 cnf(matrix-30, plain, ( ( _u13 != _u12) | ~cp4(_u13) | cp4(_u12) )).
% 0.56/0.78 cnf(matrix-31, plain, ( ( _u15 != _u14) | ~cp5(_u15) | cp5(_u14) )).
% 0.56/0.78 cnf(matrix-32, plain, ( ( _u18 != _u17) | ~rinvR(_u18, _u16) | rinvR(_u17, _u16) )).
% 0.56/0.78 cnf(matrix-33, plain, ( ( _u21 != _u20) | ~rinvR(_u19, _u21) | rinvR(_u19, _u20) )).
% 0.56/0.78 cnf(matrix-34, plain, ( ( _u24 != _u23) | ~rr(_u24, _u22) | rr(_u23, _u22) )).
% 0.56/0.78 cnf(matrix-35, plain, ( ( _u27 != _u26) | ~rr(_u25, _u27) | rr(_u25, _u26) )).
% 0.56/0.78 cnf(matrix-36, plain, ( ( _u29 != _u28) | ~xsd_integer(_u29) | xsd_integer(_u28) )).
% 0.56/0.78 cnf(matrix-37, plain, ( ( _u31 != _u30) | ~xsd_string(_u31) | xsd_string(_u30) )).
% 0.56/0.78 cnf(matrix-38, plain, ( cowlThing(_u32) )).
% 0.56/0.78 cnf(matrix-39, plain, ( ~cowlNothing(_u32) )).
% 0.56/0.78 cnf(matrix-40, plain, ( ~xsd_string(_u33) | ~xsd_integer(_u33) )).
% 0.56/0.78 cnf(matrix-41, plain, ( xsd_integer(_u33) | xsd_string(_u33) )).
% 0.56/0.78 cnf(matrix-42, plain, ( ~cUnsatisfiable(_u42) | ~_def0(_u34, _u35, _u42) )).
% 0.56/0.78 cnf(matrix-43, plain, ( ~rinvR(_u42, _u41) | ~_def1(_u41, _u42) | ~rr(_u41, _u40) | ~cp1(_u40) | ~cp2(_u42) | cUnsatisfiable(_u42) )).
% 0.56/0.78 cnf(matrix-44, plain, ( _def0(_u34, _u35, _u42) | rinvR(_u42, skolem1(_u42)) )).
% 0.56/0.78 cnf(matrix-45, plain, ( _def0(_u34, _u35, _u42) | ~rr(skolem1(_u42), _u35) | ~rr(skolem1(_u42), _u34) | ( _u35 = _u34) )).
% 0.56/0.78 cnf(matrix-46, plain, ( _def0(_u34, _u35, _u42) | rr(skolem1(_u42), skolem2(_u42)) )).
% 0.56/0.78 cnf(matrix-47, plain, ( _def0(_u34, _u35, _u42) | cp1(skolem2(_u42)) )).
% 0.56/0.78 cnf(matrix-48, plain, ( _def0(_u34, _u35, _u42) | cp2(_u42) )).
% 0.56/0.78 cnf(matrix-49, plain, ( _def1(_u41, _u42) | rr(_u41, skolem3(_u42, _u41)) )).
% 0.56/0.78 cnf(matrix-50, plain, ( _def1(_u41, _u42) | rr(_u41, skolem4(_u42, _u41)) )).
% 0.56/0.78 cnf(matrix-51, plain, ( _def1(_u41, _u42) | ( skolem3(_u42, _u41) != skolem4(_u42, _u41)) )).
% 0.56/0.78 cnf(matrix-52, plain, ( ~cp1(_u43) | ~_def2(_u43) )).
% 0.56/0.78 cnf(matrix-53, plain, ( _def2(_u43) | ~cp3(_u43) )).
% 0.56/0.78 cnf(matrix-54, plain, ( _def2(_u43) | ~cp2(_u43) )).
% 0.56/0.78 cnf(matrix-55, plain, ( _def2(_u43) | ~cp4(_u43) )).
% 0.56/0.78 cnf(matrix-56, plain, ( _def2(_u43) | ~cp5(_u43) )).
% 0.56/0.78 cnf(matrix-57, plain, ( ~cp2(_u44) | ~_def3(_u44) )).
% 0.56/0.78 cnf(matrix-58, plain, ( _def3(_u44) | ~cp3(_u44) )).
% 0.56/0.78 cnf(matrix-59, plain, ( _def3(_u44) | ~cp4(_u44) )).
% 0.56/0.78 cnf(matrix-60, plain, ( _def3(_u44) | ~cp5(_u44) )).
% 0.56/0.78 cnf(matrix-61, plain, ( ~cp3(_u45) | ~_def4(_u45) )).
% 0.56/0.78 cnf(matrix-62, plain, ( _def4(_u45) | ~cp4(_u45) )).
% 0.56/0.78 cnf(matrix-63, plain, ( _def4(_u45) | ~cp5(_u45) )).
% 0.56/0.78 cnf(matrix-64, plain, ( ~cp4(_u46) | ~cp5(_u46) )).
% 0.56/0.78 cnf(matrix-65, plain, ( ~rinvR(_u48, _u47) | rr(_u47, _u48) )).
% 0.56/0.78 cnf(matrix-66, plain, ( ~rr(_u47, _u48) | rinvR(_u48, _u47) )).
% 0.56/0.78 cnf(matrix-67, plain, ( cUnsatisfiable(i2003_11_14_17_18_50190) )).
% 0.56/0.78
% 0.56/0.78 % Proof stack:
% 0.56/0.78 cnf(proof-stack, plain,
% 0.56/0.78 proof_stack(
% 0.56/0.78 start(42),
% 0.56/0.78 left_branch(0, 67, 0, 2),
% 0.56/0.78 right_branch(2),
% 0.56/0.78 left_branch(0, 45, 0, 3),
% 0.56/0.78 left_branch(0, 21, 0, 4),
% 0.56/0.78 left_branch(0, 52, 1, 5),
% 0.56/0.78 left_branch(0, 47, 1, 6),
% 0.56/0.78 reduction(0, 0),
% 0.56/0.78 right_branch(6),
% 0.56/0.78 right_branch(5),
% 0.56/0.78 left_branch(0, 54, 0, 6),
% 0.56/0.78 left_branch(0, 48, 1, 7),
% 0.56/0.78 reduction(0, 0),
% 0.56/0.78 right_branch(7),
% 0.56/0.78 right_branch(6),
% 0.56/0.78 right_branch(4),
% 0.56/0.78 left_branch(0, 46, 1, 5),
% 0.56/0.78 reduction(0, 0),
% 0.56/0.78 right_branch(5),
% 0.56/0.78 left_branch(0, 65, 1, 6),
% 0.56/0.78 left_branch(0, 44, 1, 7),
% 0.56/0.78 reduction(0, 0),
% 0.56/0.78 right_branch(7),
% 0.56/0.78 right_branch(6),
% 0.56/0.78 right_branch(3)
% 0.56/0.78 )).
% 0.56/0.78 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------