TSTP Solution File: KRS097+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS097+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 : n013.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 14:18:02 EDT 2024
% Result : Unsatisfiable 0.78s 0.94s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS097+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n013.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
% 0.12/0.34 % DateTime : Thu Mar 21 02:31:03 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.78/0.94 % SZS status Unsatisfiable for theBenchmark
% 0.78/0.94 % SZS output start Proof for theBenchmark
% 0.78/0.94
% 0.78/0.94 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.78/0.94
% 0.78/0.94 % Formula: ca_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(ca_substitution_1-1, axiom, ( ( _u3 != _u2) | ~ca(_u3) | ca(_u2) )).
% 0.78/0.94
% 0.78/0.94 % Formula: cc_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(cc_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cc(_u5) | cc(_u4) )).
% 0.78/0.94
% 0.78/0.94 % Formula: cd_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(cd_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cd(_u7) | cd(_u6) )).
% 0.78/0.94
% 0.78/0.94 % Formula: ce_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(ce_substitution_1-1, axiom, ( ( _u9 != _u8) | ~ce(_u9) | ce(_u8) )).
% 0.78/0.94
% 0.78/0.94 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cowlNothing(_u11) | cowlNothing(_u10) )).
% 0.78/0.94
% 0.78/0.94 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(cowlThing_substitution_1-1, axiom, ( ( _u13 != _u12) | ~cowlThing(_u13) | cowlThing(_u12) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr_substitution_1-1, axiom, ( ( _u16 != _u15) | ~rr(_u16, _u14) | rr(_u15, _u14) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr_substitution_2-1, axiom, ( ( _u19 != _u18) | ~rr(_u17, _u19) | rr(_u17, _u18) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr1_substitution_1-1, axiom, ( ( _u22 != _u21) | ~rr1(_u22, _u20) | rr1(_u21, _u20) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr1_substitution_2-1, axiom, ( ( _u25 != _u24) | ~rr1(_u23, _u25) | rr1(_u23, _u24) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr2_substitution_1-1, axiom, ( ( _u28 != _u27) | ~rr2(_u28, _u26) | rr2(_u27, _u26) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr2_substitution_2-1, axiom, ( ( _u31 != _u30) | ~rr2(_u29, _u31) | rr2(_u29, _u30) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr3_substitution_1-1, axiom, ( ( _u34 != _u33) | ~rr3(_u34, _u32) | rr3(_u33, _u32) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rr3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rr3_substitution_2-1, axiom, ( ( _u37 != _u36) | ~rr3(_u35, _u37) | rr3(_u35, _u36) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt1_substitution_1-1, axiom, ( ( _u40 != _u39) | ~rt1(_u40, _u38) | rt1(_u39, _u38) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt1_substitution_2-1, axiom, ( ( _u43 != _u42) | ~rt1(_u41, _u43) | rt1(_u41, _u42) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt2_substitution_1-1, axiom, ( ( _u46 != _u45) | ~rt2(_u46, _u44) | rt2(_u45, _u44) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt2_substitution_2-1, axiom, ( ( _u49 != _u48) | ~rt2(_u47, _u49) | rt2(_u47, _u48) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt3_substitution_1-1, axiom, ( ( _u52 != _u51) | ~rt3(_u52, _u50) | rt3(_u51, _u50) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rt3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rt3_substitution_2-1, axiom, ( ( _u55 != _u54) | ~rt3(_u53, _u55) | rt3(_u53, _u54) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rtt_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rtt_substitution_1-1, axiom, ( ( _u58 != _u57) | ~rtt(_u58, _u56) | rtt(_u57, _u56) )).
% 0.78/0.94
% 0.78/0.94 % Formula: rtt_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(rtt_substitution_2-1, axiom, ( ( _u61 != _u60) | ~rtt(_u59, _u61) | rtt(_u59, _u60) )).
% 0.78/0.94
% 0.78/0.94 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u63 != _u62) | ~xsd_integer(_u63) | xsd_integer(_u62) )).
% 0.78/0.94
% 0.78/0.94 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(xsd_string_substitution_1-1, axiom, ( ( _u65 != _u64) | ~xsd_string(_u65) | xsd_string(_u64) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_0-1, axiom, ( cowlThing(_u66) )).
% 0.78/0.94 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u66) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_1-1, axiom, ( ~xsd_string(_u67) | ~xsd_integer(_u67) )).
% 0.78/0.94 cnf(axiom_1-2, axiom, ( xsd_integer(_u67) | xsd_string(_u67) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u78) | ~_def0(_u70, _u71, _u78) )).
% 0.78/0.94 cnf(axiom_2-2, axiom, ( ~rr(_u78, _u73) | ~rr(_u78, _u74) | ~cd(_u74) | ~_def1(_u78) | ~rr(_u78, _u77) | ~cc(_u77) | cUnsatisfiable(_u78) )).
% 0.78/0.94 cnf(axiom_2-3, axiom, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem1(_u78)) )).
% 0.78/0.94 cnf(axiom_2-4, axiom, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem2(_u78)) )).
% 0.78/0.94 cnf(axiom_2-5, axiom, ( _def0(_u70, _u71, _u78) | cd(skolem2(_u78)) )).
% 0.78/0.94 cnf(axiom_2-6, axiom, ( _def0(_u70, _u71, _u78) | ~rr(_u78, _u71) | ~rr(_u78, _u70) | ( _u71 = _u70) )).
% 0.78/0.94 cnf(axiom_2-7, axiom, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem3(_u78)) )).
% 0.78/0.94 cnf(axiom_2-8, axiom, ( _def0(_u70, _u71, _u78) | cc(skolem3(_u78)) )).
% 0.78/0.94 cnf(axiom_2-9, axiom, ( _def1(_u78) | rr(_u78, skolem4(_u78)) )).
% 0.78/0.94 cnf(axiom_2-10, axiom, ( _def1(_u78) | rr(_u78, skolem5(_u78)) )).
% 0.78/0.94 cnf(axiom_2-11, axiom, ( _def1(_u78) | ( skolem4(_u78) != skolem5(_u78)) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_3-1, axiom, ( ~ca(_u79) | cd(_u79) | cc(_u79) )).
% 0.78/0.94 cnf(axiom_3-2, axiom, ( ~_def2(_u79) | ca(_u79) )).
% 0.78/0.94 cnf(axiom_3-3, axiom, ( _def2(_u79) | ~cd(_u79) )).
% 0.78/0.94 cnf(axiom_3-4, axiom, ( _def2(_u79) | ~cc(_u79) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_4-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_21603) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_5-1, axiom, ( ~cd(_u80) | ~ce(_u80) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_6-1, axiom, ( ~cd(_u81) | ~cc(_u81) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_7-1, axiom, ( ~ce(_u82) | ~cc(_u82) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_8-1, axiom, ( ~rt3(_u84, _u83) | rtt(_u84, _u83) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_9-1, axiom, ( ~rr1(_u86, _u85) | rr(_u86, _u85) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_10-1, axiom, ( ~rr3(_u88, _u87) | rr(_u88, _u87) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_11-1, axiom, ( ~rt1(_u90, _u89) | rtt(_u90, _u89) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_12-1, axiom, ( ~rr2(_u92, _u91) | rr(_u92, _u91) )).
% 0.78/0.94
% 0.78/0.94 % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 0.78/0.94 cnf(axiom_13-1, axiom, ( ~rt2(_u94, _u93) | rtt(_u94, _u93) )).
% 0.78/0.94
% 0.78/0.94 % Problem matrix:
% 0.78/0.94 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.78/0.94 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.78/0.94 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.78/0.94 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.78/0.94 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.78/0.94 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.78/0.94 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.78/0.94 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.78/0.94 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 0.78/0.94 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~ca(__eqx_0) | ca(__eqy_0) )).
% 0.78/0.94 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 0.78/0.94 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 0.78/0.94 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~ce(__eqx_0) | ce(__eqy_0) )).
% 0.78/0.94 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.78/0.94 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.78/0.94 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr1(__eqx_0, __eqx_1) | rr1(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr2(__eqx_0, __eqx_1) | rr2(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr3(__eqx_0, __eqx_1) | rr3(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt1(__eqx_0, __eqx_1) | rt1(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt2(__eqx_0, __eqx_1) | rt2(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt3(__eqx_0, __eqx_1) | rt3(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rtt(__eqx_0, __eqx_1) | rtt(__eqy_0, __eqy_1) )).
% 0.78/0.94 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.78/0.94 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.78/0.94 cnf(matrix-25, 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) )).
% 0.78/0.94 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.78/0.94 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 0.78/0.94 cnf(matrix-28, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.78/0.94 cnf(matrix-29, plain, ( ( _u3 != _u2) | ~ca(_u3) | ca(_u2) )).
% 0.78/0.94 cnf(matrix-30, plain, ( ( _u5 != _u4) | ~cc(_u5) | cc(_u4) )).
% 0.78/0.94 cnf(matrix-31, plain, ( ( _u7 != _u6) | ~cd(_u7) | cd(_u6) )).
% 0.78/0.94 cnf(matrix-32, plain, ( ( _u9 != _u8) | ~ce(_u9) | ce(_u8) )).
% 0.78/0.94 cnf(matrix-33, plain, ( ( _u11 != _u10) | ~cowlNothing(_u11) | cowlNothing(_u10) )).
% 0.78/0.94 cnf(matrix-34, plain, ( ( _u13 != _u12) | ~cowlThing(_u13) | cowlThing(_u12) )).
% 0.78/0.94 cnf(matrix-35, plain, ( ( _u16 != _u15) | ~rr(_u16, _u14) | rr(_u15, _u14) )).
% 0.78/0.94 cnf(matrix-36, plain, ( ( _u19 != _u18) | ~rr(_u17, _u19) | rr(_u17, _u18) )).
% 0.78/0.94 cnf(matrix-37, plain, ( ( _u22 != _u21) | ~rr1(_u22, _u20) | rr1(_u21, _u20) )).
% 0.78/0.94 cnf(matrix-38, plain, ( ( _u25 != _u24) | ~rr1(_u23, _u25) | rr1(_u23, _u24) )).
% 0.78/0.94 cnf(matrix-39, plain, ( ( _u28 != _u27) | ~rr2(_u28, _u26) | rr2(_u27, _u26) )).
% 0.78/0.94 cnf(matrix-40, plain, ( ( _u31 != _u30) | ~rr2(_u29, _u31) | rr2(_u29, _u30) )).
% 0.78/0.94 cnf(matrix-41, plain, ( ( _u34 != _u33) | ~rr3(_u34, _u32) | rr3(_u33, _u32) )).
% 0.78/0.94 cnf(matrix-42, plain, ( ( _u37 != _u36) | ~rr3(_u35, _u37) | rr3(_u35, _u36) )).
% 0.78/0.94 cnf(matrix-43, plain, ( ( _u40 != _u39) | ~rt1(_u40, _u38) | rt1(_u39, _u38) )).
% 0.78/0.94 cnf(matrix-44, plain, ( ( _u43 != _u42) | ~rt1(_u41, _u43) | rt1(_u41, _u42) )).
% 0.78/0.94 cnf(matrix-45, plain, ( ( _u46 != _u45) | ~rt2(_u46, _u44) | rt2(_u45, _u44) )).
% 0.78/0.94 cnf(matrix-46, plain, ( ( _u49 != _u48) | ~rt2(_u47, _u49) | rt2(_u47, _u48) )).
% 0.78/0.94 cnf(matrix-47, plain, ( ( _u52 != _u51) | ~rt3(_u52, _u50) | rt3(_u51, _u50) )).
% 0.78/0.94 cnf(matrix-48, plain, ( ( _u55 != _u54) | ~rt3(_u53, _u55) | rt3(_u53, _u54) )).
% 0.78/0.94 cnf(matrix-49, plain, ( ( _u58 != _u57) | ~rtt(_u58, _u56) | rtt(_u57, _u56) )).
% 0.78/0.94 cnf(matrix-50, plain, ( ( _u61 != _u60) | ~rtt(_u59, _u61) | rtt(_u59, _u60) )).
% 0.78/0.94 cnf(matrix-51, plain, ( ( _u63 != _u62) | ~xsd_integer(_u63) | xsd_integer(_u62) )).
% 0.78/0.94 cnf(matrix-52, plain, ( ( _u65 != _u64) | ~xsd_string(_u65) | xsd_string(_u64) )).
% 0.78/0.94 cnf(matrix-53, plain, ( cowlThing(_u66) )).
% 0.78/0.94 cnf(matrix-54, plain, ( ~cowlNothing(_u66) )).
% 0.78/0.94 cnf(matrix-55, plain, ( ~xsd_string(_u67) | ~xsd_integer(_u67) )).
% 0.78/0.94 cnf(matrix-56, plain, ( xsd_integer(_u67) | xsd_string(_u67) )).
% 0.78/0.94 cnf(matrix-57, plain, ( ~cUnsatisfiable(_u78) | ~_def0(_u70, _u71, _u78) )).
% 0.78/0.94 cnf(matrix-58, plain, ( ~rr(_u78, _u73) | ~rr(_u78, _u74) | ~cd(_u74) | ~_def1(_u78) | ~rr(_u78, _u77) | ~cc(_u77) | cUnsatisfiable(_u78) )).
% 0.78/0.94 cnf(matrix-59, plain, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem1(_u78)) )).
% 0.78/0.94 cnf(matrix-60, plain, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem2(_u78)) )).
% 0.78/0.94 cnf(matrix-61, plain, ( _def0(_u70, _u71, _u78) | cd(skolem2(_u78)) )).
% 0.78/0.94 cnf(matrix-62, plain, ( _def0(_u70, _u71, _u78) | ~rr(_u78, _u71) | ~rr(_u78, _u70) | ( _u71 = _u70) )).
% 0.78/0.94 cnf(matrix-63, plain, ( _def0(_u70, _u71, _u78) | rr(_u78, skolem3(_u78)) )).
% 0.78/0.94 cnf(matrix-64, plain, ( _def0(_u70, _u71, _u78) | cc(skolem3(_u78)) )).
% 0.78/0.94 cnf(matrix-65, plain, ( _def1(_u78) | rr(_u78, skolem4(_u78)) )).
% 0.78/0.94 cnf(matrix-66, plain, ( _def1(_u78) | rr(_u78, skolem5(_u78)) )).
% 0.78/0.94 cnf(matrix-67, plain, ( _def1(_u78) | ( skolem4(_u78) != skolem5(_u78)) )).
% 0.78/0.94 cnf(matrix-68, plain, ( ~ca(_u79) | cd(_u79) | cc(_u79) )).
% 0.78/0.94 cnf(matrix-69, plain, ( ~_def2(_u79) | ca(_u79) )).
% 0.78/0.94 cnf(matrix-70, plain, ( _def2(_u79) | ~cd(_u79) )).
% 0.78/0.94 cnf(matrix-71, plain, ( _def2(_u79) | ~cc(_u79) )).
% 0.78/0.94 cnf(matrix-72, plain, ( cUnsatisfiable(i2003_11_14_17_20_21603) )).
% 0.78/0.94 cnf(matrix-73, plain, ( ~cd(_u80) | ~ce(_u80) )).
% 0.78/0.94 cnf(matrix-74, plain, ( ~cd(_u81) | ~cc(_u81) )).
% 0.78/0.94 cnf(matrix-75, plain, ( ~ce(_u82) | ~cc(_u82) )).
% 0.78/0.94 cnf(matrix-76, plain, ( ~rt3(_u84, _u83) | rtt(_u84, _u83) )).
% 0.78/0.94 cnf(matrix-77, plain, ( ~rr1(_u86, _u85) | rr(_u86, _u85) )).
% 0.78/0.94 cnf(matrix-78, plain, ( ~rr3(_u88, _u87) | rr(_u88, _u87) )).
% 0.78/0.94 cnf(matrix-79, plain, ( ~rt1(_u90, _u89) | rtt(_u90, _u89) )).
% 0.78/0.94 cnf(matrix-80, plain, ( ~rr2(_u92, _u91) | rr(_u92, _u91) )).
% 0.78/0.94 cnf(matrix-81, plain, ( ~rt2(_u94, _u93) | rtt(_u94, _u93) )).
% 0.78/0.94
% 0.78/0.94 % Proof stack:
% 0.78/0.94 cnf(proof-stack, plain,
% 0.78/0.94 proof_stack(
% 0.78/0.94 start(57),
% 0.78/0.94 left_branch(0, 72, 0, 2),
% 0.78/0.94 right_branch(2),
% 0.78/0.94 left_branch(0, 62, 0, 3),
% 0.78/0.94 left_branch(0, 31, 0, 4),
% 0.78/0.94 left_branch(0, 74, 0, 5),
% 0.78/0.94 left_branch(0, 64, 1, 6),
% 0.78/0.94 reduction(0, 0),
% 0.78/0.94 right_branch(6),
% 0.78/0.94 right_branch(5),
% 0.78/0.94 left_branch(0, 61, 1, 6),
% 0.78/0.94 reduction(0, 0),
% 0.78/0.94 right_branch(6),
% 0.78/0.94 right_branch(4),
% 0.78/0.94 left_branch(0, 63, 1, 5),
% 0.78/0.94 reduction(0, 0),
% 0.78/0.94 right_branch(5),
% 0.78/0.94 left_branch(0, 60, 1, 6),
% 0.78/0.94 reduction(0, 0),
% 0.78/0.94 right_branch(6),
% 0.78/0.94 right_branch(3)
% 0.78/0.94 )).
% 0.78/0.94 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------