TSTP Solution File: KRS127+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS127+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 : n014.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 14:18:08 EDT 2024
% Result : Unsatisfiable 1.37s 1.56s
% Output : Proof 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n014.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 02:19:15 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.37/1.56 % SZS status Unsatisfiable for theBenchmark
% 1.37/1.56 % SZS output start Proof for theBenchmark
% 1.37/1.56
% 1.37/1.56 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 1.37/1.56
% 1.37/1.56 % Formula: cc_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cc_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 1.37/1.56
% 1.37/1.56 % Formula: cd_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cd_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 1.37/1.56
% 1.37/1.56 % Formula: cdxcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cdxcomp_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cdxcomp(_u7) | cdxcomp(_u6) )).
% 1.37/1.56
% 1.37/1.56 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 1.37/1.56
% 1.37/1.56 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(cowlThing_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 1.37/1.56
% 1.37/1.56 % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(ra_Px1_substitution_1-1, axiom, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 1.37/1.56
% 1.37/1.56 % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(ra_Px1_substitution_2-1, axiom, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 1.37/1.56
% 1.37/1.56 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(rr_substitution_1-1, axiom, ( ( _u20 != _u19) | ~rr(_u20, _u18) | rr(_u19, _u18) )).
% 1.37/1.56
% 1.37/1.56 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(rr_substitution_2-1, axiom, ( ( _u23 != _u22) | ~rr(_u21, _u23) | rr(_u21, _u22) )).
% 1.37/1.56
% 1.37/1.56 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 1.37/1.56
% 1.37/1.56 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(xsd_string_substitution_1-1, axiom, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_0-1, axiom, ( cowlThing(_u28) )).
% 1.37/1.56 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u28) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_1-1, axiom, ( ~xsd_string(_u29) | ~xsd_integer(_u29) )).
% 1.37/1.56 cnf(axiom_1-2, axiom, ( xsd_integer(_u29) | xsd_string(_u29) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u38) | ~_def0(_u32, _u33, _u38) )).
% 1.37/1.56 cnf(axiom_2-2, axiom, ( ~rr(_u38, _u34) | ~cc(_u34) | ~rr(_u38, _u35) | ~cd(_u35) | ~_def1(_u38) | cUnsatisfiable(_u38) )).
% 1.37/1.56 cnf(axiom_2-3, axiom, ( _def0(_u32, _u33, _u38) | rr(_u38, skolem1(_u38)) )).
% 1.37/1.56 cnf(axiom_2-4, axiom, ( _def0(_u32, _u33, _u38) | cc(skolem1(_u38)) )).
% 1.37/1.56 cnf(axiom_2-5, axiom, ( _def0(_u32, _u33, _u38) | rr(_u38, skolem2(_u38)) )).
% 1.37/1.56 cnf(axiom_2-6, axiom, ( _def0(_u32, _u33, _u38) | cd(skolem2(_u38)) )).
% 1.37/1.56 cnf(axiom_2-7, axiom, ( _def0(_u32, _u33, _u38) | ~rr(_u38, _u33) | ~rr(_u38, _u32) | ( _u33 = _u32) )).
% 1.37/1.56 cnf(axiom_2-8, axiom, ( _def1(_u38) | rr(_u38, skolem3(_u38)) )).
% 1.37/1.56 cnf(axiom_2-9, axiom, ( _def1(_u38) | rr(_u38, skolem4(_u38)) )).
% 1.37/1.56 cnf(axiom_2-10, axiom, ( _def1(_u38) | ( skolem3(_u38) != skolem4(_u38)) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_3-1, axiom, ( ~cc(_u39) | cdxcomp(_u39) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_4-1, axiom, ( ~cd(_u42) | ~ra_Px1(_u42, _u40) )).
% 1.37/1.56 cnf(axiom_4-2, axiom, ( ra_Px1(_u42, skolem5(_u42)) | cd(_u42) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_5-1, axiom, ( ~cdxcomp(_u45) | ra_Px1(_u45, skolem6(_u45)) )).
% 1.37/1.56 cnf(axiom_5-2, axiom, ( ~ra_Px1(_u45, _u44) | cdxcomp(_u45) )).
% 1.37/1.56
% 1.37/1.56 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 1.37/1.56 cnf(axiom_6-1, axiom, ( cUnsatisfiable(i2003_11_14_17_22_27794) )).
% 1.37/1.56
% 1.37/1.56 % Problem matrix:
% 1.37/1.56 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 1.37/1.56 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 1.37/1.56 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 1.37/1.56 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 1.37/1.56 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 1.37/1.56 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 1.37/1.56 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 1.37/1.56 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cdxcomp(__eqx_0) | cdxcomp(__eqy_0) )).
% 1.37/1.56 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 1.37/1.56 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 1.37/1.56 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 1.37/1.56 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 1.37/1.56 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 1.37/1.56 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 1.37/1.56 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) )).
% 1.37/1.56 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 1.37/1.56 cnf(matrix-21, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 1.37/1.56 cnf(matrix-22, plain, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 1.37/1.56 cnf(matrix-23, plain, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 1.37/1.56 cnf(matrix-24, plain, ( ( _u7 != _u6) | ~cdxcomp(_u7) | cdxcomp(_u6) )).
% 1.37/1.56 cnf(matrix-25, plain, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 1.37/1.56 cnf(matrix-26, plain, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 1.37/1.56 cnf(matrix-27, plain, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 1.37/1.56 cnf(matrix-28, plain, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 1.37/1.56 cnf(matrix-29, plain, ( ( _u20 != _u19) | ~rr(_u20, _u18) | rr(_u19, _u18) )).
% 1.37/1.56 cnf(matrix-30, plain, ( ( _u23 != _u22) | ~rr(_u21, _u23) | rr(_u21, _u22) )).
% 1.37/1.56 cnf(matrix-31, plain, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 1.37/1.56 cnf(matrix-32, plain, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 1.37/1.56 cnf(matrix-33, plain, ( cowlThing(_u28) )).
% 1.37/1.56 cnf(matrix-34, plain, ( ~cowlNothing(_u28) )).
% 1.37/1.56 cnf(matrix-35, plain, ( ~xsd_string(_u29) | ~xsd_integer(_u29) )).
% 1.37/1.56 cnf(matrix-36, plain, ( xsd_integer(_u29) | xsd_string(_u29) )).
% 1.37/1.56 cnf(matrix-37, plain, ( ~cUnsatisfiable(_u38) | ~_def0(_u32, _u33, _u38) )).
% 1.37/1.56 cnf(matrix-38, plain, ( ~rr(_u38, _u34) | ~cc(_u34) | ~rr(_u38, _u35) | ~cd(_u35) | ~_def1(_u38) | cUnsatisfiable(_u38) )).
% 1.37/1.56 cnf(matrix-39, plain, ( _def0(_u32, _u33, _u38) | rr(_u38, skolem1(_u38)) )).
% 1.37/1.56 cnf(matrix-40, plain, ( _def0(_u32, _u33, _u38) | cc(skolem1(_u38)) )).
% 1.37/1.56 cnf(matrix-41, plain, ( _def0(_u32, _u33, _u38) | rr(_u38, skolem2(_u38)) )).
% 1.37/1.56 cnf(matrix-42, plain, ( _def0(_u32, _u33, _u38) | cd(skolem2(_u38)) )).
% 1.37/1.56 cnf(matrix-43, plain, ( _def0(_u32, _u33, _u38) | ~rr(_u38, _u33) | ~rr(_u38, _u32) | ( _u33 = _u32) )).
% 1.37/1.56 cnf(matrix-44, plain, ( _def1(_u38) | rr(_u38, skolem3(_u38)) )).
% 1.37/1.56 cnf(matrix-45, plain, ( _def1(_u38) | rr(_u38, skolem4(_u38)) )).
% 1.37/1.56 cnf(matrix-46, plain, ( _def1(_u38) | ( skolem3(_u38) != skolem4(_u38)) )).
% 1.37/1.56 cnf(matrix-47, plain, ( ~cc(_u39) | cdxcomp(_u39) )).
% 1.37/1.56 cnf(matrix-48, plain, ( ~cd(_u42) | ~ra_Px1(_u42, _u40) )).
% 1.37/1.56 cnf(matrix-49, plain, ( ra_Px1(_u42, skolem5(_u42)) | cd(_u42) )).
% 1.37/1.56 cnf(matrix-50, plain, ( ~cdxcomp(_u45) | ra_Px1(_u45, skolem6(_u45)) )).
% 1.37/1.56 cnf(matrix-51, plain, ( ~ra_Px1(_u45, _u44) | cdxcomp(_u45) )).
% 1.37/1.56 cnf(matrix-52, plain, ( cUnsatisfiable(i2003_11_14_17_22_27794) )).
% 1.37/1.56
% 1.37/1.56 % Proof stack:
% 1.37/1.56 cnf(proof-stack, plain,
% 1.37/1.56 proof_stack(
% 1.37/1.56 start(37),
% 1.37/1.56 left_branch(0, 52, 0, 2),
% 1.37/1.56 right_branch(2),
% 1.37/1.56 left_branch(0, 43, 0, 3),
% 1.37/1.56 left_branch(0, 27, 0, 4),
% 1.37/1.56 left_branch(0, 48, 1, 5),
% 1.37/1.56 left_branch(0, 42, 1, 6),
% 1.37/1.56 reduction(0, 0),
% 1.37/1.56 right_branch(6),
% 1.37/1.56 right_branch(5),
% 1.37/1.56 left_branch(0, 50, 1, 6),
% 1.37/1.56 left_branch(0, 47, 1, 7),
% 1.37/1.56 left_branch(0, 40, 1, 8),
% 1.37/1.56 reduction(0, 0),
% 1.37/1.56 right_branch(8),
% 1.37/1.56 right_branch(7),
% 1.37/1.56 right_branch(6),
% 1.37/1.56 right_branch(4),
% 1.37/1.56 left_branch(0, 41, 1, 5),
% 1.37/1.56 reduction(0, 0),
% 1.37/1.56 right_branch(5),
% 1.37/1.56 left_branch(0, 39, 1, 6),
% 1.37/1.56 reduction(0, 0),
% 1.37/1.56 right_branch(6),
% 1.37/1.56 right_branch(3)
% 1.37/1.56 )).
% 1.37/1.56 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------