TSTP Solution File: KRS120+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS120+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 : n031.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 105.46s 105.68s
% Output : Proof 105.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n031.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 03:06:33 EDT 2024
% 0.13/0.33 % CPUTime :
% 105.46/105.68 % SZS status Unsatisfiable for theBenchmark
% 105.46/105.68 % SZS output start Proof for theBenchmark
% 105.46/105.68
% 105.46/105.68 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 105.46/105.68
% 105.46/105.68 % Formula: ca_Ax2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(ca_Ax2_substitution_1-1, axiom, ( ( _u3 != _u2) | ~ca_Ax2(_u3) | ca_Ax2(_u2) )).
% 105.46/105.68
% 105.46/105.68 % Formula: ca_Vx3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(ca_Vx3_substitution_1-1, axiom, ( ( _u5 != _u4) | ~ca_Vx3(_u5) | ca_Vx3(_u4) )).
% 105.46/105.68
% 105.46/105.68 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 105.46/105.68
% 105.46/105.68 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(cowlThing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 105.46/105.68
% 105.46/105.68 % Formula: cp1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(cp1_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cp1(_u11) | cp1(_u10) )).
% 105.46/105.68
% 105.46/105.68 % Formula: cp1xcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(cp1xcomp_substitution_1-1, axiom, ( ( _u13 != _u12) | ~cp1xcomp(_u13) | cp1xcomp(_u12) )).
% 105.46/105.68
% 105.46/105.68 % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(ra_Px1_substitution_1-1, axiom, ( ( _u16 != _u15) | ~ra_Px1(_u16, _u14) | ra_Px1(_u15, _u14) )).
% 105.46/105.68
% 105.46/105.68 % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(ra_Px1_substitution_2-1, axiom, ( ( _u19 != _u18) | ~ra_Px1(_u17, _u19) | ra_Px1(_u17, _u18) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rf_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rf_substitution_1-1, axiom, ( ( _u22 != _u21) | ~rf(_u22, _u20) | rf(_u21, _u20) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rf_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rf_substitution_2-1, axiom, ( ( _u25 != _u24) | ~rf(_u23, _u25) | rf(_u23, _u24) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rinvF_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rinvF_substitution_1-1, axiom, ( ( _u28 != _u27) | ~rinvF(_u28, _u26) | rinvF(_u27, _u26) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rinvF_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rinvF_substitution_2-1, axiom, ( ( _u31 != _u30) | ~rinvF(_u29, _u31) | rinvF(_u29, _u30) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rinvR_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rinvR_substitution_1-1, axiom, ( ( _u34 != _u33) | ~rinvR(_u34, _u32) | rinvR(_u33, _u32) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rinvR_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rinvR_substitution_2-1, axiom, ( ( _u37 != _u36) | ~rinvR(_u35, _u37) | rinvR(_u35, _u36) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rr_substitution_1-1, axiom, ( ( _u40 != _u39) | ~rr(_u40, _u38) | rr(_u39, _u38) )).
% 105.46/105.68
% 105.46/105.68 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(rr_substitution_2-1, axiom, ( ( _u43 != _u42) | ~rr(_u41, _u43) | rr(_u41, _u42) )).
% 105.46/105.68
% 105.46/105.68 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u45 != _u44) | ~xsd_integer(_u45) | xsd_integer(_u44) )).
% 105.46/105.68
% 105.46/105.68 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(xsd_string_substitution_1-1, axiom, ( ( _u47 != _u46) | ~xsd_string(_u47) | xsd_string(_u46) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_0-1, axiom, ( cowlThing(_u48) )).
% 105.46/105.68 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u48) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_1-1, axiom, ( ~xsd_string(_u49) | ~xsd_integer(_u49) )).
% 105.46/105.68 cnf(axiom_1-2, axiom, ( xsd_integer(_u49) | xsd_string(_u49) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u52) | ~_def0(_u52) )).
% 105.46/105.68 cnf(axiom_2-2, axiom, ( ~rf(_u52, _u51) | ~ca_Ax2(_u51) | cUnsatisfiable(_u52) )).
% 105.46/105.68 cnf(axiom_2-3, axiom, ( _def0(_u52) | rf(_u52, skolem1(_u52)) )).
% 105.46/105.68 cnf(axiom_2-4, axiom, ( _def0(_u52) | ca_Ax2(skolem1(_u52)) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_3-1, axiom, ( ~cp1(_u55) | ~ra_Px1(_u55, _u53) )).
% 105.46/105.68 cnf(axiom_3-2, axiom, ( ra_Px1(_u55, skolem2(_u55)) | cp1(_u55) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_4-1, axiom, ( ~cp1xcomp(_u58) | ra_Px1(_u58, skolem3(_u58)) )).
% 105.46/105.68 cnf(axiom_4-2, axiom, ( ~ra_Px1(_u58, _u57) | cp1xcomp(_u58) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_5-1, axiom, ( ~ca_Ax2(_u61) | ~_def1(_u61) )).
% 105.46/105.68 cnf(axiom_5-2, axiom, ( ~rinvF(_u61, _u60) | ~ca_Vx3(_u60) | ~cp1(_u61) | ca_Ax2(_u61) )).
% 105.46/105.68 cnf(axiom_5-3, axiom, ( _def1(_u61) | rinvF(_u61, skolem4(_u61)) )).
% 105.46/105.68 cnf(axiom_5-4, axiom, ( _def1(_u61) | ca_Vx3(skolem4(_u61)) )).
% 105.46/105.68 cnf(axiom_5-5, axiom, ( _def1(_u61) | cp1(_u61) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_6-1, axiom, ( ~ca_Vx3(_u64) | ~_def2(_u64) )).
% 105.46/105.68 cnf(axiom_6-2, axiom, ( ~rf(_u64, _u63) | ~cp1xcomp(_u63) | ca_Vx3(_u64) )).
% 105.46/105.68 cnf(axiom_6-3, axiom, ( _def2(_u64) | rf(_u64, skolem5(_u64)) )).
% 105.46/105.68 cnf(axiom_6-4, axiom, ( _def2(_u64) | cp1xcomp(skolem5(_u64)) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_7-1, axiom, ( ~cowlThing(_u67) | ~rf(_u67, _u66) | ~rf(_u67, _u65) | ( _u66 = _u65) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_8-1, axiom, ( ~rinvF(_u69, _u68) | rf(_u68, _u69) )).
% 105.46/105.68 cnf(axiom_8-2, axiom, ( ~rf(_u68, _u69) | rinvF(_u69, _u68) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_9-1, axiom, ( ~rinvR(_u71, _u70) | rr(_u70, _u71) )).
% 105.46/105.68 cnf(axiom_9-2, axiom, ( ~rr(_u70, _u71) | rinvR(_u71, _u70) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_10-1, axiom, ( ~rr(_u74, _u73) | ~rr(_u73, _u72) | rr(_u74, _u72) )).
% 105.46/105.68
% 105.46/105.68 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 105.46/105.68 cnf(axiom_11-1, axiom, ( cUnsatisfiable(i2003_11_14_17_21_48796) )).
% 105.46/105.68
% 105.46/105.68 % Problem matrix:
% 105.46/105.68 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 105.46/105.68 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 105.46/105.68 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 105.46/105.68 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 105.46/105.68 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 105.46/105.68 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 105.46/105.68 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 105.46/105.68 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 105.46/105.68 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 105.46/105.68 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~ca_Ax2(__eqx_0) | ca_Ax2(__eqy_0) )).
% 105.46/105.68 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~ca_Vx3(__eqx_0) | ca_Vx3(__eqy_0) )).
% 105.46/105.68 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 105.46/105.68 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 105.46/105.68 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cp1(__eqx_0) | cp1(__eqy_0) )).
% 105.46/105.68 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cp1xcomp(__eqx_0) | cp1xcomp(__eqy_0) )).
% 105.46/105.68 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 105.46/105.68 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rf(__eqx_0, __eqx_1) | rf(__eqy_0, __eqy_1) )).
% 105.46/105.68 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvF(__eqx_0, __eqx_1) | rinvF(__eqy_0, __eqy_1) )).
% 105.46/105.68 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvR(__eqx_0, __eqx_1) | rinvR(__eqy_0, __eqy_1) )).
% 105.46/105.68 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 105.46/105.68 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 105.46/105.68 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 105.46/105.68 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 105.46/105.68 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 105.46/105.68 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 105.46/105.68 cnf(matrix-25, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 105.46/105.68 cnf(matrix-26, plain, ( ( _u3 != _u2) | ~ca_Ax2(_u3) | ca_Ax2(_u2) )).
% 105.46/105.68 cnf(matrix-27, plain, ( ( _u5 != _u4) | ~ca_Vx3(_u5) | ca_Vx3(_u4) )).
% 105.46/105.68 cnf(matrix-28, plain, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 105.46/105.68 cnf(matrix-29, plain, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 105.46/105.68 cnf(matrix-30, plain, ( ( _u11 != _u10) | ~cp1(_u11) | cp1(_u10) )).
% 105.46/105.68 cnf(matrix-31, plain, ( ( _u13 != _u12) | ~cp1xcomp(_u13) | cp1xcomp(_u12) )).
% 105.46/105.68 cnf(matrix-32, plain, ( ( _u16 != _u15) | ~ra_Px1(_u16, _u14) | ra_Px1(_u15, _u14) )).
% 105.46/105.68 cnf(matrix-33, plain, ( ( _u19 != _u18) | ~ra_Px1(_u17, _u19) | ra_Px1(_u17, _u18) )).
% 105.46/105.68 cnf(matrix-34, plain, ( ( _u22 != _u21) | ~rf(_u22, _u20) | rf(_u21, _u20) )).
% 105.46/105.68 cnf(matrix-35, plain, ( ( _u25 != _u24) | ~rf(_u23, _u25) | rf(_u23, _u24) )).
% 105.46/105.68 cnf(matrix-36, plain, ( ( _u28 != _u27) | ~rinvF(_u28, _u26) | rinvF(_u27, _u26) )).
% 105.46/105.68 cnf(matrix-37, plain, ( ( _u31 != _u30) | ~rinvF(_u29, _u31) | rinvF(_u29, _u30) )).
% 105.46/105.68 cnf(matrix-38, plain, ( ( _u34 != _u33) | ~rinvR(_u34, _u32) | rinvR(_u33, _u32) )).
% 105.46/105.68 cnf(matrix-39, plain, ( ( _u37 != _u36) | ~rinvR(_u35, _u37) | rinvR(_u35, _u36) )).
% 105.46/105.68 cnf(matrix-40, plain, ( ( _u40 != _u39) | ~rr(_u40, _u38) | rr(_u39, _u38) )).
% 105.46/105.68 cnf(matrix-41, plain, ( ( _u43 != _u42) | ~rr(_u41, _u43) | rr(_u41, _u42) )).
% 105.46/105.68 cnf(matrix-42, plain, ( ( _u45 != _u44) | ~xsd_integer(_u45) | xsd_integer(_u44) )).
% 105.46/105.68 cnf(matrix-43, plain, ( ( _u47 != _u46) | ~xsd_string(_u47) | xsd_string(_u46) )).
% 105.46/105.68 cnf(matrix-44, plain, ( cowlThing(_u48) )).
% 105.46/105.68 cnf(matrix-45, plain, ( ~cowlNothing(_u48) )).
% 105.46/105.68 cnf(matrix-46, plain, ( ~xsd_string(_u49) | ~xsd_integer(_u49) )).
% 105.46/105.68 cnf(matrix-47, plain, ( xsd_integer(_u49) | xsd_string(_u49) )).
% 105.46/105.68 cnf(matrix-48, plain, ( ~cUnsatisfiable(_u52) | ~_def0(_u52) )).
% 105.46/105.68 cnf(matrix-49, plain, ( ~rf(_u52, _u51) | ~ca_Ax2(_u51) | cUnsatisfiable(_u52) )).
% 105.46/105.68 cnf(matrix-50, plain, ( _def0(_u52) | rf(_u52, skolem1(_u52)) )).
% 105.46/105.68 cnf(matrix-51, plain, ( _def0(_u52) | ca_Ax2(skolem1(_u52)) )).
% 105.46/105.68 cnf(matrix-52, plain, ( ~cp1(_u55) | ~ra_Px1(_u55, _u53) )).
% 105.46/105.68 cnf(matrix-53, plain, ( ra_Px1(_u55, skolem2(_u55)) | cp1(_u55) )).
% 105.46/105.68 cnf(matrix-54, plain, ( ~cp1xcomp(_u58) | ra_Px1(_u58, skolem3(_u58)) )).
% 105.46/105.68 cnf(matrix-55, plain, ( ~ra_Px1(_u58, _u57) | cp1xcomp(_u58) )).
% 105.46/105.68 cnf(matrix-56, plain, ( ~ca_Ax2(_u61) | ~_def1(_u61) )).
% 105.46/105.68 cnf(matrix-57, plain, ( ~rinvF(_u61, _u60) | ~ca_Vx3(_u60) | ~cp1(_u61) | ca_Ax2(_u61) )).
% 105.46/105.68 cnf(matrix-58, plain, ( _def1(_u61) | rinvF(_u61, skolem4(_u61)) )).
% 105.46/105.68 cnf(matrix-59, plain, ( _def1(_u61) | ca_Vx3(skolem4(_u61)) )).
% 105.46/105.68 cnf(matrix-60, plain, ( _def1(_u61) | cp1(_u61) )).
% 105.46/105.68 cnf(matrix-61, plain, ( ~ca_Vx3(_u64) | ~_def2(_u64) )).
% 105.46/105.68 cnf(matrix-62, plain, ( ~rf(_u64, _u63) | ~cp1xcomp(_u63) | ca_Vx3(_u64) )).
% 105.46/105.68 cnf(matrix-63, plain, ( _def2(_u64) | rf(_u64, skolem5(_u64)) )).
% 105.46/105.68 cnf(matrix-64, plain, ( _def2(_u64) | cp1xcomp(skolem5(_u64)) )).
% 105.46/105.68 cnf(matrix-65, plain, ( ~cowlThing(_u67) | ~rf(_u67, _u66) | ~rf(_u67, _u65) | ( _u66 = _u65) )).
% 105.46/105.68 cnf(matrix-66, plain, ( ~rinvF(_u69, _u68) | rf(_u68, _u69) )).
% 105.46/105.68 cnf(matrix-67, plain, ( ~rf(_u68, _u69) | rinvF(_u69, _u68) )).
% 105.46/105.68 cnf(matrix-68, plain, ( ~rinvR(_u71, _u70) | rr(_u70, _u71) )).
% 105.46/105.68 cnf(matrix-69, plain, ( ~rr(_u70, _u71) | rinvR(_u71, _u70) )).
% 105.46/105.68 cnf(matrix-70, plain, ( ~rr(_u74, _u73) | ~rr(_u73, _u72) | rr(_u74, _u72) )).
% 105.46/105.68 cnf(matrix-71, plain, ( cUnsatisfiable(i2003_11_14_17_21_48796) )).
% 105.46/105.68
% 105.46/105.68 % Proof stack:
% 105.46/105.68 cnf(proof-stack, plain,
% 105.46/105.68 proof_stack(
% 105.46/105.68 start(56),
% 105.46/105.68 left_branch(0, 51, 1, 2),
% 105.46/105.68 left_branch(0, 48, 1, 3),
% 105.46/105.68 left_branch(0, 71, 0, 4),
% 105.46/105.68 right_branch(4),
% 105.46/105.68 right_branch(3),
% 105.46/105.68 right_branch(2),
% 105.46/105.68 left_branch(0, 59, 0, 3),
% 105.46/105.68 left_branch(0, 61, 0, 4),
% 105.46/105.68 left_branch(0, 64, 0, 5),
% 105.46/105.68 left_branch(0, 31, 1, 6),
% 105.46/105.68 left_branch(0, 65, 3, 7),
% 105.46/105.68 left_branch(0, 44, 0, 8),
% 105.46/105.68 right_branch(8),
% 105.46/105.68 left_branch(0, 66, 1, 9),
% 105.46/105.68 left_branch(0, 58, 1, 10),
% 105.46/105.68 reduction(0, 0),
% 105.46/105.68 right_branch(10),
% 105.46/105.68 right_branch(9),
% 105.46/105.68 left_branch(0, 63, 1, 10),
% 105.46/105.68 reduction(0, 2),
% 105.46/105.68 right_branch(10),
% 105.46/105.68 right_branch(7),
% 105.46/105.68 left_branch(0, 54, 0, 8),
% 105.46/105.68 left_branch(0, 52, 1, 9),
% 105.46/105.68 left_branch(0, 60, 1, 10),
% 105.46/105.68 reduction(0, 0),
% 105.46/105.68 right_branch(10),
% 105.46/105.68 right_branch(9),
% 105.46/105.68 right_branch(8),
% 105.46/105.68 right_branch(6),
% 105.46/105.68 right_branch(5),
% 105.46/105.68 right_branch(4),
% 105.46/105.68 right_branch(3)
% 105.46/105.68 )).
% 105.46/105.68 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------