TSTP Solution File: KRS110+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS110+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 14:18:04 EDT 2024
% Result : Unsatisfiable 21.54s 21.78s
% Output : Proof 21.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 02:17:00 EDT 2024
% 0.12/0.34 % CPUTime :
% 21.54/21.78 % SZS status Unsatisfiable for theBenchmark
% 21.54/21.78 % SZS output start Proof for theBenchmark
% 21.54/21.78
% 21.54/21.78 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 21.54/21.78
% 21.54/21.78 % Formula: ca_Ax2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(ca_Ax2_substitution_1-1, axiom, ( ( _u3 != _u2) | ~ca_Ax2(_u3) | ca_Ax2(_u2) )).
% 21.54/21.78
% 21.54/21.78 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlNothing(_u5) | cowlNothing(_u4) )).
% 21.54/21.78
% 21.54/21.78 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(cowlThing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlThing(_u7) | cowlThing(_u6) )).
% 21.54/21.78
% 21.54/21.78 % Formula: cp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(cp_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cp(_u9) | cp(_u8) )).
% 21.54/21.78
% 21.54/21.78 % Formula: cpxcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(cpxcomp_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cpxcomp(_u11) | cpxcomp(_u10) )).
% 21.54/21.78
% 21.54/21.78 % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(ra_Px1_substitution_1-1, axiom, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 21.54/21.78
% 21.54/21.78 % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(ra_Px1_substitution_2-1, axiom, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rf_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rf_substitution_1-1, axiom, ( ( _u20 != _u19) | ~rf(_u20, _u18) | rf(_u19, _u18) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rf_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rf_substitution_2-1, axiom, ( ( _u23 != _u22) | ~rf(_u21, _u23) | rf(_u21, _u22) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rf1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rf1_substitution_1-1, axiom, ( ( _u26 != _u25) | ~rf1(_u26, _u24) | rf1(_u25, _u24) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rf1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rf1_substitution_2-1, axiom, ( ( _u29 != _u28) | ~rf1(_u27, _u29) | rf1(_u27, _u28) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvF_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvF_substitution_1-1, axiom, ( ( _u32 != _u31) | ~rinvF(_u32, _u30) | rinvF(_u31, _u30) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvF_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvF_substitution_2-1, axiom, ( ( _u35 != _u34) | ~rinvF(_u33, _u35) | rinvF(_u33, _u34) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvF1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvF1_substitution_1-1, axiom, ( ( _u38 != _u37) | ~rinvF1(_u38, _u36) | rinvF1(_u37, _u36) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvF1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvF1_substitution_2-1, axiom, ( ( _u41 != _u40) | ~rinvF1(_u39, _u41) | rinvF1(_u39, _u40) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvS_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvS_substitution_1-1, axiom, ( ( _u44 != _u43) | ~rinvS(_u44, _u42) | rinvS(_u43, _u42) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rinvS_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rinvS_substitution_2-1, axiom, ( ( _u47 != _u46) | ~rinvS(_u45, _u47) | rinvS(_u45, _u46) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rs_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rs_substitution_1-1, axiom, ( ( _u50 != _u49) | ~rs(_u50, _u48) | rs(_u49, _u48) )).
% 21.54/21.78
% 21.54/21.78 % Formula: rs_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(rs_substitution_2-1, axiom, ( ( _u53 != _u52) | ~rs(_u51, _u53) | rs(_u51, _u52) )).
% 21.54/21.78
% 21.54/21.78 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u55 != _u54) | ~xsd_integer(_u55) | xsd_integer(_u54) )).
% 21.54/21.78
% 21.54/21.78 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(xsd_string_substitution_1-1, axiom, ( ( _u57 != _u56) | ~xsd_string(_u57) | xsd_string(_u56) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_0-1, axiom, ( cowlThing(_u58) )).
% 21.54/21.78 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u58) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_1-1, axiom, ( ~xsd_string(_u59) | ~xsd_integer(_u59) )).
% 21.54/21.78 cnf(axiom_1-2, axiom, ( xsd_integer(_u59) | xsd_string(_u59) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u64) | ~_def0(_u61, _u64) )).
% 21.54/21.78 cnf(axiom_2-2, axiom, ( ~rs(_u64, _u62) | ~ca_Ax2(_u62) | ~_def1(_u64) | cUnsatisfiable(_u64) )).
% 21.54/21.78 cnf(axiom_2-3, axiom, ( _def0(_u61, _u64) | rs(_u64, skolem1(_u64)) )).
% 21.54/21.78 cnf(axiom_2-4, axiom, ( _def0(_u61, _u64) | ca_Ax2(skolem1(_u64)) )).
% 21.54/21.78 cnf(axiom_2-5, axiom, ( _def0(_u61, _u64) | ~rs(_u64, _u61) | cpxcomp(_u61) )).
% 21.54/21.78 cnf(axiom_2-6, axiom, ( _def1(_u64) | rs(_u64, skolem2(_u64)) )).
% 21.54/21.78 cnf(axiom_2-7, axiom, ( _def1(_u64) | ~cpxcomp(skolem2(_u64)) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_3-1, axiom, ( ~cp(_u67) | ~ra_Px1(_u67, _u65) )).
% 21.54/21.78 cnf(axiom_3-2, axiom, ( ra_Px1(_u67, skolem3(_u67)) | cp(_u67) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_4-1, axiom, ( ~cpxcomp(_u70) | ra_Px1(_u70, skolem4(_u70)) )).
% 21.54/21.78 cnf(axiom_4-2, axiom, ( ~ra_Px1(_u70, _u69) | cpxcomp(_u70) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_5-1, axiom, ( ~ca_Ax2(_u73) | ~_def2(_u73) )).
% 21.54/21.78 cnf(axiom_5-2, axiom, ( ~cp(_u73) | ~rinvS(_u73, _u72) | ~cp(_u72) | ca_Ax2(_u73) )).
% 21.54/21.78 cnf(axiom_5-3, axiom, ( _def2(_u73) | cp(_u73) )).
% 21.54/21.78 cnf(axiom_5-4, axiom, ( _def2(_u73) | rinvS(_u73, skolem5(_u73)) )).
% 21.54/21.78 cnf(axiom_5-5, axiom, ( _def2(_u73) | cp(skolem5(_u73)) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_6-1, axiom, ( ~rf(_u76, _u75) | ~rf(_u76, _u74) | ( _u75 = _u74) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_7-1, axiom, ( ~rf1(_u79, _u78) | ~rf1(_u79, _u77) | ( _u78 = _u77) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_8-1, axiom, ( ~rinvF(_u81, _u80) | rf(_u80, _u81) )).
% 21.54/21.78 cnf(axiom_8-2, axiom, ( ~rf(_u80, _u81) | rinvF(_u81, _u80) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_9-1, axiom, ( ~rinvF1(_u83, _u82) | rf1(_u82, _u83) )).
% 21.54/21.78 cnf(axiom_9-2, axiom, ( ~rf1(_u82, _u83) | rinvF1(_u83, _u82) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_10-1, axiom, ( ~rinvS(_u85, _u84) | rs(_u84, _u85) )).
% 21.54/21.78 cnf(axiom_10-2, axiom, ( ~rs(_u84, _u85) | rinvS(_u85, _u84) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_11-1, axiom, ( ~rs(_u88, _u87) | ~rs(_u88, _u86) | ( _u87 = _u86) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_12-1, axiom, ( cUnsatisfiable(i2003_11_14_17_21_12565) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_13-1, axiom, ( ~rs(_u90, _u89) | rf(_u90, _u89) )).
% 21.54/21.78
% 21.54/21.78 % Formula: axiom_14 ( axiom ) (definitionally) converted to clauses:
% 21.54/21.78 cnf(axiom_14-1, axiom, ( ~rs(_u92, _u91) | rf1(_u92, _u91) )).
% 21.54/21.78
% 21.54/21.78 % Problem matrix:
% 21.54/21.78 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 21.54/21.78 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 21.54/21.78 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 21.54/21.78 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 21.54/21.78 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 21.54/21.78 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 21.54/21.78 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 21.54/21.78 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 21.54/21.78 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 21.54/21.78 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~ca_Ax2(__eqx_0) | ca_Ax2(__eqy_0) )).
% 21.54/21.78 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 21.54/21.78 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 21.54/21.78 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cp(__eqx_0) | cp(__eqy_0) )).
% 21.54/21.78 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cpxcomp(__eqx_0) | cpxcomp(__eqy_0) )).
% 21.54/21.78 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf(__eqx_0, __eqx_1) | rf(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf1(__eqx_0, __eqx_1) | rf1(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF(__eqx_0, __eqx_1) | rinvF(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF1(__eqx_0, __eqx_1) | rinvF1(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvS(__eqx_0, __eqx_1) | rinvS(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rs(__eqx_0, __eqx_1) | rs(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 21.54/21.78 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 21.54/21.78 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 21.54/21.78 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 21.54/21.78 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 21.54/21.78 cnf(matrix-26, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 21.54/21.78 cnf(matrix-27, plain, ( ( _u3 != _u2) | ~ca_Ax2(_u3) | ca_Ax2(_u2) )).
% 21.54/21.78 cnf(matrix-28, plain, ( ( _u5 != _u4) | ~cowlNothing(_u5) | cowlNothing(_u4) )).
% 21.54/21.78 cnf(matrix-29, plain, ( ( _u7 != _u6) | ~cowlThing(_u7) | cowlThing(_u6) )).
% 21.54/21.78 cnf(matrix-30, plain, ( ( _u9 != _u8) | ~cp(_u9) | cp(_u8) )).
% 21.54/21.78 cnf(matrix-31, plain, ( ( _u11 != _u10) | ~cpxcomp(_u11) | cpxcomp(_u10) )).
% 21.54/21.78 cnf(matrix-32, plain, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 21.54/21.78 cnf(matrix-33, plain, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 21.54/21.78 cnf(matrix-34, plain, ( ( _u20 != _u19) | ~rf(_u20, _u18) | rf(_u19, _u18) )).
% 21.54/21.78 cnf(matrix-35, plain, ( ( _u23 != _u22) | ~rf(_u21, _u23) | rf(_u21, _u22) )).
% 21.54/21.78 cnf(matrix-36, plain, ( ( _u26 != _u25) | ~rf1(_u26, _u24) | rf1(_u25, _u24) )).
% 21.54/21.78 cnf(matrix-37, plain, ( ( _u29 != _u28) | ~rf1(_u27, _u29) | rf1(_u27, _u28) )).
% 21.54/21.78 cnf(matrix-38, plain, ( ( _u32 != _u31) | ~rinvF(_u32, _u30) | rinvF(_u31, _u30) )).
% 21.54/21.78 cnf(matrix-39, plain, ( ( _u35 != _u34) | ~rinvF(_u33, _u35) | rinvF(_u33, _u34) )).
% 21.54/21.78 cnf(matrix-40, plain, ( ( _u38 != _u37) | ~rinvF1(_u38, _u36) | rinvF1(_u37, _u36) )).
% 21.54/21.78 cnf(matrix-41, plain, ( ( _u41 != _u40) | ~rinvF1(_u39, _u41) | rinvF1(_u39, _u40) )).
% 21.54/21.78 cnf(matrix-42, plain, ( ( _u44 != _u43) | ~rinvS(_u44, _u42) | rinvS(_u43, _u42) )).
% 21.54/21.78 cnf(matrix-43, plain, ( ( _u47 != _u46) | ~rinvS(_u45, _u47) | rinvS(_u45, _u46) )).
% 21.54/21.78 cnf(matrix-44, plain, ( ( _u50 != _u49) | ~rs(_u50, _u48) | rs(_u49, _u48) )).
% 21.54/21.78 cnf(matrix-45, plain, ( ( _u53 != _u52) | ~rs(_u51, _u53) | rs(_u51, _u52) )).
% 21.54/21.78 cnf(matrix-46, plain, ( ( _u55 != _u54) | ~xsd_integer(_u55) | xsd_integer(_u54) )).
% 21.54/21.78 cnf(matrix-47, plain, ( ( _u57 != _u56) | ~xsd_string(_u57) | xsd_string(_u56) )).
% 21.54/21.78 cnf(matrix-48, plain, ( cowlThing(_u58) )).
% 21.54/21.78 cnf(matrix-49, plain, ( ~cowlNothing(_u58) )).
% 21.54/21.78 cnf(matrix-50, plain, ( ~xsd_string(_u59) | ~xsd_integer(_u59) )).
% 21.54/21.78 cnf(matrix-51, plain, ( xsd_integer(_u59) | xsd_string(_u59) )).
% 21.54/21.78 cnf(matrix-52, plain, ( ~cUnsatisfiable(_u64) | ~_def0(_u61, _u64) )).
% 21.54/21.78 cnf(matrix-53, plain, ( ~rs(_u64, _u62) | ~ca_Ax2(_u62) | ~_def1(_u64) | cUnsatisfiable(_u64) )).
% 21.54/21.78 cnf(matrix-54, plain, ( _def0(_u61, _u64) | rs(_u64, skolem1(_u64)) )).
% 21.54/21.78 cnf(matrix-55, plain, ( _def0(_u61, _u64) | ca_Ax2(skolem1(_u64)) )).
% 21.54/21.78 cnf(matrix-56, plain, ( _def0(_u61, _u64) | ~rs(_u64, _u61) | cpxcomp(_u61) )).
% 21.54/21.78 cnf(matrix-57, plain, ( _def1(_u64) | rs(_u64, skolem2(_u64)) )).
% 21.54/21.78 cnf(matrix-58, plain, ( _def1(_u64) | ~cpxcomp(skolem2(_u64)) )).
% 21.54/21.78 cnf(matrix-59, plain, ( ~cp(_u67) | ~ra_Px1(_u67, _u65) )).
% 21.54/21.78 cnf(matrix-60, plain, ( ra_Px1(_u67, skolem3(_u67)) | cp(_u67) )).
% 21.54/21.78 cnf(matrix-61, plain, ( ~cpxcomp(_u70) | ra_Px1(_u70, skolem4(_u70)) )).
% 21.54/21.78 cnf(matrix-62, plain, ( ~ra_Px1(_u70, _u69) | cpxcomp(_u70) )).
% 21.54/21.78 cnf(matrix-63, plain, ( ~ca_Ax2(_u73) | ~_def2(_u73) )).
% 21.54/21.78 cnf(matrix-64, plain, ( ~cp(_u73) | ~rinvS(_u73, _u72) | ~cp(_u72) | ca_Ax2(_u73) )).
% 21.54/21.78 cnf(matrix-65, plain, ( _def2(_u73) | cp(_u73) )).
% 21.54/21.78 cnf(matrix-66, plain, ( _def2(_u73) | rinvS(_u73, skolem5(_u73)) )).
% 21.54/21.78 cnf(matrix-67, plain, ( _def2(_u73) | cp(skolem5(_u73)) )).
% 21.54/21.78 cnf(matrix-68, plain, ( ~rf(_u76, _u75) | ~rf(_u76, _u74) | ( _u75 = _u74) )).
% 21.54/21.78 cnf(matrix-69, plain, ( ~rf1(_u79, _u78) | ~rf1(_u79, _u77) | ( _u78 = _u77) )).
% 21.54/21.78 cnf(matrix-70, plain, ( ~rinvF(_u81, _u80) | rf(_u80, _u81) )).
% 21.54/21.78 cnf(matrix-71, plain, ( ~rf(_u80, _u81) | rinvF(_u81, _u80) )).
% 21.54/21.78 cnf(matrix-72, plain, ( ~rinvF1(_u83, _u82) | rf1(_u82, _u83) )).
% 21.54/21.78 cnf(matrix-73, plain, ( ~rf1(_u82, _u83) | rinvF1(_u83, _u82) )).
% 21.54/21.78 cnf(matrix-74, plain, ( ~rinvS(_u85, _u84) | rs(_u84, _u85) )).
% 21.54/21.78 cnf(matrix-75, plain, ( ~rs(_u84, _u85) | rinvS(_u85, _u84) )).
% 21.54/21.78 cnf(matrix-76, plain, ( ~rs(_u88, _u87) | ~rs(_u88, _u86) | ( _u87 = _u86) )).
% 21.54/21.78 cnf(matrix-77, plain, ( cUnsatisfiable(i2003_11_14_17_21_12565) )).
% 21.54/21.78 cnf(matrix-78, plain, ( ~rs(_u90, _u89) | rf(_u90, _u89) )).
% 21.54/21.78 cnf(matrix-79, plain, ( ~rs(_u92, _u91) | rf1(_u92, _u91) )).
% 21.54/21.78
% 21.54/21.78 % Proof stack:
% 21.54/21.78 cnf(proof-stack, plain,
% 21.54/21.78 proof_stack(
% 21.54/21.78 start(52),
% 21.54/21.78 left_branch(0, 77, 0, 2),
% 21.54/21.78 right_branch(2),
% 21.54/21.78 left_branch(0, 54, 0, 3),
% 21.54/21.78 left_branch(0, 76, 1, 4),
% 21.54/21.78 reduction(0, 1),
% 21.54/21.78 left_branch(0, 30, 0, 6),
% 21.54/21.78 left_branch(0, 59, 0, 7),
% 21.54/21.78 left_branch(0, 61, 1, 8),
% 21.54/21.78 left_branch(0, 56, 2, 9),
% 21.54/21.78 reduction(0, 0),
% 21.54/21.78 lemmata(0, 1),
% 21.54/21.78 right_branch(9),
% 21.54/21.78 right_branch(8),
% 21.54/21.78 right_branch(7),
% 21.54/21.78 left_branch(0, 65, 1, 8),
% 21.54/21.78 left_branch(0, 63, 1, 9),
% 21.54/21.78 left_branch(0, 55, 1, 10),
% 21.54/21.78 reduction(0, 0),
% 21.54/21.78 right_branch(10),
% 21.54/21.78 right_branch(9),
% 21.54/21.78 right_branch(8),
% 21.54/21.78 right_branch(6),
% 21.54/21.78 right_branch(4),
% 21.54/21.78 right_branch(3)
% 21.54/21.78 )).
% 21.54/21.78 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------