TSTP Solution File: KRS111+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS111+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 14:18:05 EDT 2024
% Result : Unsatisfiable 26.10s 26.26s
% Output : Proof 26.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS111+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Mar 21 02:33:48 EDT 2024
% 0.14/0.34 % CPUTime :
% 26.10/26.26 % SZS status Unsatisfiable for theBenchmark
% 26.10/26.26 % SZS output start Proof for theBenchmark
% 26.10/26.26
% 26.10/26.26 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 26.10/26.26
% 26.10/26.26 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 26.10/26.26
% 26.10/26.26 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 26.10/26.26
% 26.10/26.26 % Formula: cp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(cp_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cp(_u7) | cp(_u6) )).
% 26.10/26.26
% 26.10/26.26 % Formula: cpxcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(cpxcomp_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cpxcomp(_u9) | cpxcomp(_u8) )).
% 26.10/26.26
% 26.10/26.26 % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(ra_Px1_substitution_1-1, axiom, ( ( _u12 != _u11) | ~ra_Px1(_u12, _u10) | ra_Px1(_u11, _u10) )).
% 26.10/26.26
% 26.10/26.26 % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(ra_Px1_substitution_2-1, axiom, ( ( _u15 != _u14) | ~ra_Px1(_u13, _u15) | ra_Px1(_u13, _u14) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rf_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rf_substitution_1-1, axiom, ( ( _u18 != _u17) | ~rf(_u18, _u16) | rf(_u17, _u16) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rf_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rf_substitution_2-1, axiom, ( ( _u21 != _u20) | ~rf(_u19, _u21) | rf(_u19, _u20) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rf1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rf1_substitution_1-1, axiom, ( ( _u24 != _u23) | ~rf1(_u24, _u22) | rf1(_u23, _u22) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rf1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rf1_substitution_2-1, axiom, ( ( _u27 != _u26) | ~rf1(_u25, _u27) | rf1(_u25, _u26) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvF_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvF_substitution_1-1, axiom, ( ( _u30 != _u29) | ~rinvF(_u30, _u28) | rinvF(_u29, _u28) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvF_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvF_substitution_2-1, axiom, ( ( _u33 != _u32) | ~rinvF(_u31, _u33) | rinvF(_u31, _u32) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvF1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvF1_substitution_1-1, axiom, ( ( _u36 != _u35) | ~rinvF1(_u36, _u34) | rinvF1(_u35, _u34) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvF1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvF1_substitution_2-1, axiom, ( ( _u39 != _u38) | ~rinvF1(_u37, _u39) | rinvF1(_u37, _u38) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvS_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvS_substitution_1-1, axiom, ( ( _u42 != _u41) | ~rinvS(_u42, _u40) | rinvS(_u41, _u40) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rinvS_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rinvS_substitution_2-1, axiom, ( ( _u45 != _u44) | ~rinvS(_u43, _u45) | rinvS(_u43, _u44) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rs_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rs_substitution_1-1, axiom, ( ( _u48 != _u47) | ~rs(_u48, _u46) | rs(_u47, _u46) )).
% 26.10/26.26
% 26.10/26.26 % Formula: rs_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(rs_substitution_2-1, axiom, ( ( _u51 != _u50) | ~rs(_u49, _u51) | rs(_u49, _u50) )).
% 26.10/26.26
% 26.10/26.26 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u53 != _u52) | ~xsd_integer(_u53) | xsd_integer(_u52) )).
% 26.10/26.26
% 26.10/26.26 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(xsd_string_substitution_1-1, axiom, ( ( _u55 != _u54) | ~xsd_string(_u55) | xsd_string(_u54) )).
% 26.10/26.26
% 26.10/26.26 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(axiom_0-1, axiom, ( cowlThing(_u56) )).
% 26.10/26.26 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u56) )).
% 26.10/26.26
% 26.10/26.26 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(axiom_1-1, axiom, ( ~xsd_string(_u57) | ~xsd_integer(_u57) )).
% 26.10/26.26 cnf(axiom_1-2, axiom, ( xsd_integer(_u57) | xsd_string(_u57) )).
% 26.10/26.26
% 26.10/26.26 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u64) | ~_def0(_u64) )).
% 26.10/26.26 cnf(axiom_2-2, axiom, ( ~rf1(_u64, _u61) | ~cpxcomp(_u61) | ~rs(_u64, _u62) | ~cowlThing(_u62) | ~rf(_u64, _u63) | ~cp(_u63) | cUnsatisfiable(_u64) )).
% 26.10/26.26 cnf(axiom_2-3, axiom, ( _def0(_u64) | rf1(_u64, skolem1(_u64)) )).
% 26.10/26.26 cnf(axiom_2-4, axiom, ( _def0(_u64) | cpxcomp(skolem1(_u64)) )).
% 26.10/26.26 cnf(axiom_2-5, axiom, ( _def0(_u64) | rs(_u64, skolem2(_u64)) )).
% 26.10/26.26 cnf(axiom_2-6, axiom, ( _def0(_u64) | cowlThing(skolem2(_u64)) )).
% 26.10/26.26 cnf(axiom_2-7, axiom, ( _def0(_u64) | rf(_u64, skolem3(_u64)) )).
% 26.10/26.26 cnf(axiom_2-8, axiom, ( _def0(_u64) | cp(skolem3(_u64)) )).
% 26.10/26.26
% 26.10/26.26 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.26 cnf(axiom_3-1, axiom, ( ~cp(_u67) | ~ra_Px1(_u67, _u65) )).
% 26.10/26.26 cnf(axiom_3-2, axiom, ( ra_Px1(_u67, skolem4(_u67)) | cp(_u67) )).
% 26.10/26.26
% 26.10/26.26 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_4-1, axiom, ( ~cpxcomp(_u70) | ra_Px1(_u70, skolem5(_u70)) )).
% 26.10/26.27 cnf(axiom_4-2, axiom, ( ~ra_Px1(_u70, _u69) | cpxcomp(_u70) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_5-1, axiom, ( ~rf(_u73, _u72) | ~rf(_u73, _u71) | ( _u72 = _u71) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_6-1, axiom, ( ~rf1(_u76, _u75) | ~rf1(_u76, _u74) | ( _u75 = _u74) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_7-1, axiom, ( ~rinvF(_u78, _u77) | rf(_u77, _u78) )).
% 26.10/26.27 cnf(axiom_7-2, axiom, ( ~rf(_u77, _u78) | rinvF(_u78, _u77) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_8-1, axiom, ( ~rinvF1(_u80, _u79) | rf1(_u79, _u80) )).
% 26.10/26.27 cnf(axiom_8-2, axiom, ( ~rf1(_u79, _u80) | rinvF1(_u80, _u79) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_9-1, axiom, ( ~rinvS(_u82, _u81) | rs(_u81, _u82) )).
% 26.10/26.27 cnf(axiom_9-2, axiom, ( ~rs(_u81, _u82) | rinvS(_u82, _u81) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_10-1, axiom, ( ~rs(_u85, _u84) | ~rs(_u85, _u83) | ( _u84 = _u83) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_11-1, axiom, ( cUnsatisfiable(i2003_11_14_17_21_15425) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_12-1, axiom, ( ~rs(_u87, _u86) | rf(_u87, _u86) )).
% 26.10/26.27
% 26.10/26.27 % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 26.10/26.27 cnf(axiom_13-1, axiom, ( ~rs(_u89, _u88) | rf1(_u89, _u88) )).
% 26.10/26.27
% 26.10/26.27 % Problem matrix:
% 26.10/26.27 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 26.10/26.27 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 26.10/26.27 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 26.10/26.27 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 26.10/26.27 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 26.10/26.27 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 26.10/26.27 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 26.10/26.27 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 26.10/26.27 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 26.10/26.27 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 26.10/26.27 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 26.10/26.27 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cp(__eqx_0) | cp(__eqy_0) )).
% 26.10/26.27 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cpxcomp(__eqx_0) | cpxcomp(__eqy_0) )).
% 26.10/26.27 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf(__eqx_0, __eqx_1) | rf(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf1(__eqx_0, __eqx_1) | rf1(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF(__eqx_0, __eqx_1) | rinvF(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF1(__eqx_0, __eqx_1) | rinvF1(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvS(__eqx_0, __eqx_1) | rinvS(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rs(__eqx_0, __eqx_1) | rs(__eqy_0, __eqy_1) )).
% 26.10/26.27 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 26.10/26.27 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 26.10/26.27 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 26.10/26.27 cnf(matrix-23, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 26.10/26.27 cnf(matrix-24, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 26.10/26.27 cnf(matrix-25, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 26.10/26.27 cnf(matrix-26, plain, ( ( _u7 != _u6) | ~cp(_u7) | cp(_u6) )).
% 26.10/26.27 cnf(matrix-27, plain, ( ( _u9 != _u8) | ~cpxcomp(_u9) | cpxcomp(_u8) )).
% 26.10/26.27 cnf(matrix-28, plain, ( ( _u12 != _u11) | ~ra_Px1(_u12, _u10) | ra_Px1(_u11, _u10) )).
% 26.10/26.27 cnf(matrix-29, plain, ( ( _u15 != _u14) | ~ra_Px1(_u13, _u15) | ra_Px1(_u13, _u14) )).
% 26.10/26.27 cnf(matrix-30, plain, ( ( _u18 != _u17) | ~rf(_u18, _u16) | rf(_u17, _u16) )).
% 26.10/26.27 cnf(matrix-31, plain, ( ( _u21 != _u20) | ~rf(_u19, _u21) | rf(_u19, _u20) )).
% 26.10/26.27 cnf(matrix-32, plain, ( ( _u24 != _u23) | ~rf1(_u24, _u22) | rf1(_u23, _u22) )).
% 26.10/26.27 cnf(matrix-33, plain, ( ( _u27 != _u26) | ~rf1(_u25, _u27) | rf1(_u25, _u26) )).
% 26.10/26.27 cnf(matrix-34, plain, ( ( _u30 != _u29) | ~rinvF(_u30, _u28) | rinvF(_u29, _u28) )).
% 26.10/26.27 cnf(matrix-35, plain, ( ( _u33 != _u32) | ~rinvF(_u31, _u33) | rinvF(_u31, _u32) )).
% 26.10/26.27 cnf(matrix-36, plain, ( ( _u36 != _u35) | ~rinvF1(_u36, _u34) | rinvF1(_u35, _u34) )).
% 26.10/26.27 cnf(matrix-37, plain, ( ( _u39 != _u38) | ~rinvF1(_u37, _u39) | rinvF1(_u37, _u38) )).
% 26.10/26.27 cnf(matrix-38, plain, ( ( _u42 != _u41) | ~rinvS(_u42, _u40) | rinvS(_u41, _u40) )).
% 26.10/26.27 cnf(matrix-39, plain, ( ( _u45 != _u44) | ~rinvS(_u43, _u45) | rinvS(_u43, _u44) )).
% 26.10/26.27 cnf(matrix-40, plain, ( ( _u48 != _u47) | ~rs(_u48, _u46) | rs(_u47, _u46) )).
% 26.10/26.27 cnf(matrix-41, plain, ( ( _u51 != _u50) | ~rs(_u49, _u51) | rs(_u49, _u50) )).
% 26.10/26.27 cnf(matrix-42, plain, ( ( _u53 != _u52) | ~xsd_integer(_u53) | xsd_integer(_u52) )).
% 26.10/26.27 cnf(matrix-43, plain, ( ( _u55 != _u54) | ~xsd_string(_u55) | xsd_string(_u54) )).
% 26.10/26.27 cnf(matrix-44, plain, ( cowlThing(_u56) )).
% 26.10/26.27 cnf(matrix-45, plain, ( ~cowlNothing(_u56) )).
% 26.10/26.27 cnf(matrix-46, plain, ( ~xsd_string(_u57) | ~xsd_integer(_u57) )).
% 26.10/26.27 cnf(matrix-47, plain, ( xsd_integer(_u57) | xsd_string(_u57) )).
% 26.10/26.27 cnf(matrix-48, plain, ( ~cUnsatisfiable(_u64) | ~_def0(_u64) )).
% 26.10/26.27 cnf(matrix-49, plain, ( ~rf1(_u64, _u61) | ~cpxcomp(_u61) | ~rs(_u64, _u62) | ~cowlThing(_u62) | ~rf(_u64, _u63) | ~cp(_u63) | cUnsatisfiable(_u64) )).
% 26.10/26.27 cnf(matrix-50, plain, ( _def0(_u64) | rf1(_u64, skolem1(_u64)) )).
% 26.10/26.27 cnf(matrix-51, plain, ( _def0(_u64) | cpxcomp(skolem1(_u64)) )).
% 26.10/26.27 cnf(matrix-52, plain, ( _def0(_u64) | rs(_u64, skolem2(_u64)) )).
% 26.10/26.27 cnf(matrix-53, plain, ( _def0(_u64) | cowlThing(skolem2(_u64)) )).
% 26.10/26.27 cnf(matrix-54, plain, ( _def0(_u64) | rf(_u64, skolem3(_u64)) )).
% 26.10/26.27 cnf(matrix-55, plain, ( _def0(_u64) | cp(skolem3(_u64)) )).
% 26.10/26.27 cnf(matrix-56, plain, ( ~cp(_u67) | ~ra_Px1(_u67, _u65) )).
% 26.10/26.27 cnf(matrix-57, plain, ( ra_Px1(_u67, skolem4(_u67)) | cp(_u67) )).
% 26.10/26.27 cnf(matrix-58, plain, ( ~cpxcomp(_u70) | ra_Px1(_u70, skolem5(_u70)) )).
% 26.10/26.27 cnf(matrix-59, plain, ( ~ra_Px1(_u70, _u69) | cpxcomp(_u70) )).
% 26.10/26.27 cnf(matrix-60, plain, ( ~rf(_u73, _u72) | ~rf(_u73, _u71) | ( _u72 = _u71) )).
% 26.10/26.27 cnf(matrix-61, plain, ( ~rf1(_u76, _u75) | ~rf1(_u76, _u74) | ( _u75 = _u74) )).
% 26.10/26.27 cnf(matrix-62, plain, ( ~rinvF(_u78, _u77) | rf(_u77, _u78) )).
% 26.10/26.27 cnf(matrix-63, plain, ( ~rf(_u77, _u78) | rinvF(_u78, _u77) )).
% 26.10/26.27 cnf(matrix-64, plain, ( ~rinvF1(_u80, _u79) | rf1(_u79, _u80) )).
% 26.10/26.27 cnf(matrix-65, plain, ( ~rf1(_u79, _u80) | rinvF1(_u80, _u79) )).
% 26.10/26.27 cnf(matrix-66, plain, ( ~rinvS(_u82, _u81) | rs(_u81, _u82) )).
% 26.10/26.27 cnf(matrix-67, plain, ( ~rs(_u81, _u82) | rinvS(_u82, _u81) )).
% 26.10/26.27 cnf(matrix-68, plain, ( ~rs(_u85, _u84) | ~rs(_u85, _u83) | ( _u84 = _u83) )).
% 26.10/26.27 cnf(matrix-69, plain, ( cUnsatisfiable(i2003_11_14_17_21_15425) )).
% 26.10/26.27 cnf(matrix-70, plain, ( ~rs(_u87, _u86) | rf(_u87, _u86) )).
% 26.10/26.27 cnf(matrix-71, plain, ( ~rs(_u89, _u88) | rf1(_u89, _u88) )).
% 26.10/26.27
% 26.10/26.27 % Proof stack:
% 26.10/26.27 cnf(proof-stack, plain,
% 26.10/26.27 proof_stack(
% 26.10/26.27 start(48),
% 26.10/26.27 left_branch(0, 69, 0, 2),
% 26.10/26.27 right_branch(2),
% 26.10/26.27 left_branch(0, 54, 0, 3),
% 26.10/26.27 left_branch(0, 60, 0, 4),
% 26.10/26.27 left_branch(0, 26, 0, 5),
% 26.10/26.27 left_branch(0, 56, 0, 6),
% 26.10/26.27 left_branch(0, 58, 1, 7),
% 26.10/26.27 left_branch(0, 51, 1, 8),
% 26.10/26.27 reduction(0, 0),
% 26.10/26.27 right_branch(8),
% 26.10/26.27 right_branch(7),
% 26.10/26.27 right_branch(6),
% 26.10/26.27 left_branch(0, 55, 1, 7),
% 26.10/26.27 reduction(0, 0),
% 26.10/26.27 right_branch(7),
% 26.10/26.27 right_branch(5),
% 26.10/26.27 left_branch(0, 31, 2, 6),
% 26.10/26.27 left_branch(0, 61, 2, 7),
% 26.10/26.27 left_branch(0, 71, 1, 8),
% 26.10/26.27 left_branch(0, 52, 1, 9),
% 26.10/26.27 reduction(0, 0),
% 26.10/26.27 right_branch(9),
% 26.10/26.27 right_branch(8),
% 26.10/26.27 left_branch(0, 50, 1, 9),
% 26.10/26.27 reduction(0, 0),
% 26.10/26.27 right_branch(9),
% 26.10/26.27 right_branch(7),
% 26.10/26.27 left_branch(0, 70, 1, 8),
% 26.10/26.27 left_branch(0, 52, 1, 9),
% 26.10/26.27 reduction(0, 0),
% 26.10/26.27 right_branch(9),
% 26.10/26.27 right_branch(8),
% 26.10/26.27 right_branch(6),
% 26.10/26.27 right_branch(4),
% 26.10/26.27 right_branch(3)
% 26.10/26.27 )).
% 26.10/26.27 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------