TSTP Solution File: KRS098+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS098+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 14:18:03 EDT 2024
% Result : Unsatisfiable 166.74s 166.93s
% Output : Proof 166.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n031.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 03:08:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 166.74/166.93 % SZS status Unsatisfiable for theBenchmark
% 166.74/166.93 % SZS output start Proof for theBenchmark
% 166.74/166.93
% 166.74/166.93 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 166.74/166.93
% 166.74/166.93 % Formula: ca_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(ca_substitution_1-1, axiom, ( ( _u3 != _u2) | ~ca(_u3) | ca(_u2) )).
% 166.74/166.93
% 166.74/166.93 % Formula: cc_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(cc_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cc(_u5) | cc(_u4) )).
% 166.74/166.93
% 166.74/166.93 % Formula: cd_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(cd_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cd(_u7) | cd(_u6) )).
% 166.74/166.93
% 166.74/166.93 % Formula: ce_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(ce_substitution_1-1, axiom, ( ( _u9 != _u8) | ~ce(_u9) | ce(_u8) )).
% 166.74/166.93
% 166.74/166.93 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cowlNothing(_u11) | cowlNothing(_u10) )).
% 166.74/166.93
% 166.74/166.93 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(cowlThing_substitution_1-1, axiom, ( ( _u13 != _u12) | ~cowlThing(_u13) | cowlThing(_u12) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr_substitution_1-1, axiom, ( ( _u16 != _u15) | ~rr(_u16, _u14) | rr(_u15, _u14) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr_substitution_2-1, axiom, ( ( _u19 != _u18) | ~rr(_u17, _u19) | rr(_u17, _u18) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr1_substitution_1-1, axiom, ( ( _u22 != _u21) | ~rr1(_u22, _u20) | rr1(_u21, _u20) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr1_substitution_2-1, axiom, ( ( _u25 != _u24) | ~rr1(_u23, _u25) | rr1(_u23, _u24) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr2_substitution_1-1, axiom, ( ( _u28 != _u27) | ~rr2(_u28, _u26) | rr2(_u27, _u26) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr2_substitution_2-1, axiom, ( ( _u31 != _u30) | ~rr2(_u29, _u31) | rr2(_u29, _u30) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr3_substitution_1-1, axiom, ( ( _u34 != _u33) | ~rr3(_u34, _u32) | rr3(_u33, _u32) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rr3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rr3_substitution_2-1, axiom, ( ( _u37 != _u36) | ~rr3(_u35, _u37) | rr3(_u35, _u36) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt1_substitution_1-1, axiom, ( ( _u40 != _u39) | ~rt1(_u40, _u38) | rt1(_u39, _u38) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt1_substitution_2-1, axiom, ( ( _u43 != _u42) | ~rt1(_u41, _u43) | rt1(_u41, _u42) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt2_substitution_1-1, axiom, ( ( _u46 != _u45) | ~rt2(_u46, _u44) | rt2(_u45, _u44) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt2_substitution_2-1, axiom, ( ( _u49 != _u48) | ~rt2(_u47, _u49) | rt2(_u47, _u48) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt3_substitution_1-1, axiom, ( ( _u52 != _u51) | ~rt3(_u52, _u50) | rt3(_u51, _u50) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rt3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rt3_substitution_2-1, axiom, ( ( _u55 != _u54) | ~rt3(_u53, _u55) | rt3(_u53, _u54) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rtt_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rtt_substitution_1-1, axiom, ( ( _u58 != _u57) | ~rtt(_u58, _u56) | rtt(_u57, _u56) )).
% 166.74/166.93
% 166.74/166.93 % Formula: rtt_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(rtt_substitution_2-1, axiom, ( ( _u61 != _u60) | ~rtt(_u59, _u61) | rtt(_u59, _u60) )).
% 166.74/166.93
% 166.74/166.93 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u63 != _u62) | ~xsd_integer(_u63) | xsd_integer(_u62) )).
% 166.74/166.93
% 166.74/166.93 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(xsd_string_substitution_1-1, axiom, ( ( _u65 != _u64) | ~xsd_string(_u65) | xsd_string(_u64) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_0-1, axiom, ( cowlThing(_u66) )).
% 166.74/166.93 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u66) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_1-1, axiom, ( ~xsd_string(_u67) | ~xsd_integer(_u67) )).
% 166.74/166.93 cnf(axiom_1-2, axiom, ( xsd_integer(_u67) | xsd_string(_u67) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u96) | ~_def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) )).
% 166.74/166.93 cnf(axiom_2-2, axiom, ( ~rr3(_u96, _u85) | ~rt3(_u85, _u82) | ~ce(_u82) | ~_def1(_u96, _u85) | ~rr2(_u96, _u89) | ~_def2(_u96, _u89) | ~rt2(_u89, _u88) | ~cd(_u88) | ~_def3(_u96) | ~rr1(_u96, _u95) | ~_def4(_u95, _u96) | ~rt1(_u95, _u94) | ~cc(_u94) | cUnsatisfiable(_u96) )).
% 166.74/166.93 cnf(axiom_2-3, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr3(_u96, skolem1(_u96)) )).
% 166.74/166.93 cnf(axiom_2-4, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt3(skolem1(_u96), skolem2(_u96)) )).
% 166.74/166.93 cnf(axiom_2-5, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ce(skolem2(_u96)) )).
% 166.74/166.93 cnf(axiom_2-6, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem1(_u96), _u70) | ~rtt(skolem1(_u96), _u69) | ( _u70 = _u69) )).
% 166.74/166.93 cnf(axiom_2-7, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr2(_u96, skolem3(_u96)) )).
% 166.74/166.93 cnf(axiom_2-8, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem3(_u96), _u73) | ~rtt(skolem3(_u96), _u72) | ( _u73 = _u72) )).
% 166.74/166.93 cnf(axiom_2-9, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt2(skolem3(_u96), skolem4(_u96)) )).
% 166.74/166.93 cnf(axiom_2-10, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | cd(skolem4(_u96)) )).
% 166.74/166.93 cnf(axiom_2-11, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rr(_u96, _u77) | ~rr(_u96, _u76) | ( _u77 = _u76) )).
% 166.74/166.93 cnf(axiom_2-12, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr1(_u96, skolem5(_u96)) )).
% 166.74/166.93 cnf(axiom_2-13, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem5(_u96), _u79) | ~rtt(skolem5(_u96), _u78) | ( _u79 = _u78) )).
% 166.74/166.93 cnf(axiom_2-14, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt1(skolem5(_u96), skolem6(_u96)) )).
% 166.74/166.93 cnf(axiom_2-15, axiom, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | cc(skolem6(_u96)) )).
% 166.74/166.93 cnf(axiom_2-16, axiom, ( _def1(_u96, _u85) | rtt(_u85, skolem7(_u96, _u85)) )).
% 166.74/166.93 cnf(axiom_2-17, axiom, ( _def1(_u96, _u85) | rtt(_u85, skolem8(_u96, _u85)) )).
% 166.74/166.93 cnf(axiom_2-18, axiom, ( _def1(_u96, _u85) | ( skolem7(_u96, _u85) != skolem8(_u96, _u85)) )).
% 166.74/166.93 cnf(axiom_2-19, axiom, ( _def2(_u96, _u89) | rtt(_u89, skolem9(_u96, _u89)) )).
% 166.74/166.93 cnf(axiom_2-20, axiom, ( _def2(_u96, _u89) | rtt(_u89, skolem10(_u96, _u89)) )).
% 166.74/166.93 cnf(axiom_2-21, axiom, ( _def2(_u96, _u89) | ( skolem9(_u96, _u89) != skolem10(_u96, _u89)) )).
% 166.74/166.93 cnf(axiom_2-22, axiom, ( _def3(_u96) | rr(_u96, skolem11(_u96)) )).
% 166.74/166.93 cnf(axiom_2-23, axiom, ( _def3(_u96) | rr(_u96, skolem12(_u96)) )).
% 166.74/166.93 cnf(axiom_2-24, axiom, ( _def3(_u96) | ( skolem11(_u96) != skolem12(_u96)) )).
% 166.74/166.93 cnf(axiom_2-25, axiom, ( _def4(_u95, _u96) | rtt(_u95, skolem13(_u96, _u95)) )).
% 166.74/166.93 cnf(axiom_2-26, axiom, ( _def4(_u95, _u96) | rtt(_u95, skolem14(_u96, _u95)) )).
% 166.74/166.93 cnf(axiom_2-27, axiom, ( _def4(_u95, _u96) | ( skolem13(_u96, _u95) != skolem14(_u96, _u95)) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_3-1, axiom, ( ~ca(_u97) | cc(_u97) | cd(_u97) )).
% 166.74/166.93 cnf(axiom_3-2, axiom, ( ~_def5(_u97) | ca(_u97) )).
% 166.74/166.93 cnf(axiom_3-3, axiom, ( _def5(_u97) | ~cc(_u97) )).
% 166.74/166.93 cnf(axiom_3-4, axiom, ( _def5(_u97) | ~cd(_u97) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_4-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_25524) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_5-1, axiom, ( ~cc(_u98) | ~cd(_u98) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_6-1, axiom, ( ~ce(_u99) | ~cc(_u99) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_7-1, axiom, ( ~ce(_u100) | ~cd(_u100) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_8-1, axiom, ( ~rr1(_u102, _u101) | rr(_u102, _u101) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_9-1, axiom, ( ~rr2(_u104, _u103) | rr(_u104, _u103) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_10-1, axiom, ( ~rt1(_u106, _u105) | rtt(_u106, _u105) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_11-1, axiom, ( ~rt2(_u108, _u107) | rtt(_u108, _u107) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_12-1, axiom, ( ~rr3(_u110, _u109) | rr(_u110, _u109) )).
% 166.74/166.93
% 166.74/166.93 % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 166.74/166.93 cnf(axiom_13-1, axiom, ( ~rt3(_u112, _u111) | rtt(_u112, _u111) )).
% 166.74/166.93
% 166.74/166.93 % Problem matrix:
% 166.74/166.93 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 166.74/166.93 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 166.74/166.93 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 166.74/166.93 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 166.74/166.93 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 166.74/166.93 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 166.74/166.93 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~ca(__eqx_0) | ca(__eqy_0) )).
% 166.74/166.93 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 166.74/166.93 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 166.74/166.93 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~ce(__eqx_0) | ce(__eqy_0) )).
% 166.74/166.93 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 166.74/166.93 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 166.74/166.93 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr1(__eqx_0, __eqx_1) | rr1(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr2(__eqx_0, __eqx_1) | rr2(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr3(__eqx_0, __eqx_1) | rr3(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt1(__eqx_0, __eqx_1) | rt1(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt2(__eqx_0, __eqx_1) | rt2(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rt3(__eqx_0, __eqx_1) | rt3(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rtt(__eqx_0, __eqx_1) | rtt(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 166.74/166.93 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 166.74/166.93 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ~_def0(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8) | _def0(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8) )).
% 166.74/166.93 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def2(__eqx_0, __eqx_1) | _def2(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~_def3(__eqx_0) | _def3(__eqy_0) )).
% 166.74/166.93 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def4(__eqx_0, __eqx_1) | _def4(__eqy_0, __eqy_1) )).
% 166.74/166.93 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~_def5(__eqx_0) | _def5(__eqy_0) )).
% 166.74/166.93 cnf(matrix-40, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 166.74/166.93 cnf(matrix-41, plain, ( ( _u3 != _u2) | ~ca(_u3) | ca(_u2) )).
% 166.74/166.93 cnf(matrix-42, plain, ( ( _u5 != _u4) | ~cc(_u5) | cc(_u4) )).
% 166.74/166.93 cnf(matrix-43, plain, ( ( _u7 != _u6) | ~cd(_u7) | cd(_u6) )).
% 166.74/166.93 cnf(matrix-44, plain, ( ( _u9 != _u8) | ~ce(_u9) | ce(_u8) )).
% 166.74/166.93 cnf(matrix-45, plain, ( ( _u11 != _u10) | ~cowlNothing(_u11) | cowlNothing(_u10) )).
% 166.74/166.93 cnf(matrix-46, plain, ( ( _u13 != _u12) | ~cowlThing(_u13) | cowlThing(_u12) )).
% 166.74/166.93 cnf(matrix-47, plain, ( ( _u16 != _u15) | ~rr(_u16, _u14) | rr(_u15, _u14) )).
% 166.74/166.93 cnf(matrix-48, plain, ( ( _u19 != _u18) | ~rr(_u17, _u19) | rr(_u17, _u18) )).
% 166.74/166.93 cnf(matrix-49, plain, ( ( _u22 != _u21) | ~rr1(_u22, _u20) | rr1(_u21, _u20) )).
% 166.74/166.93 cnf(matrix-50, plain, ( ( _u25 != _u24) | ~rr1(_u23, _u25) | rr1(_u23, _u24) )).
% 166.74/166.93 cnf(matrix-51, plain, ( ( _u28 != _u27) | ~rr2(_u28, _u26) | rr2(_u27, _u26) )).
% 166.74/166.93 cnf(matrix-52, plain, ( ( _u31 != _u30) | ~rr2(_u29, _u31) | rr2(_u29, _u30) )).
% 166.74/166.93 cnf(matrix-53, plain, ( ( _u34 != _u33) | ~rr3(_u34, _u32) | rr3(_u33, _u32) )).
% 166.74/166.93 cnf(matrix-54, plain, ( ( _u37 != _u36) | ~rr3(_u35, _u37) | rr3(_u35, _u36) )).
% 166.74/166.93 cnf(matrix-55, plain, ( ( _u40 != _u39) | ~rt1(_u40, _u38) | rt1(_u39, _u38) )).
% 166.74/166.93 cnf(matrix-56, plain, ( ( _u43 != _u42) | ~rt1(_u41, _u43) | rt1(_u41, _u42) )).
% 166.74/166.93 cnf(matrix-57, plain, ( ( _u46 != _u45) | ~rt2(_u46, _u44) | rt2(_u45, _u44) )).
% 166.74/166.93 cnf(matrix-58, plain, ( ( _u49 != _u48) | ~rt2(_u47, _u49) | rt2(_u47, _u48) )).
% 166.74/166.93 cnf(matrix-59, plain, ( ( _u52 != _u51) | ~rt3(_u52, _u50) | rt3(_u51, _u50) )).
% 166.74/166.93 cnf(matrix-60, plain, ( ( _u55 != _u54) | ~rt3(_u53, _u55) | rt3(_u53, _u54) )).
% 166.74/166.93 cnf(matrix-61, plain, ( ( _u58 != _u57) | ~rtt(_u58, _u56) | rtt(_u57, _u56) )).
% 166.74/166.93 cnf(matrix-62, plain, ( ( _u61 != _u60) | ~rtt(_u59, _u61) | rtt(_u59, _u60) )).
% 166.74/166.93 cnf(matrix-63, plain, ( ( _u63 != _u62) | ~xsd_integer(_u63) | xsd_integer(_u62) )).
% 166.74/166.93 cnf(matrix-64, plain, ( ( _u65 != _u64) | ~xsd_string(_u65) | xsd_string(_u64) )).
% 166.74/166.93 cnf(matrix-65, plain, ( cowlThing(_u66) )).
% 166.74/166.93 cnf(matrix-66, plain, ( ~cowlNothing(_u66) )).
% 166.74/166.93 cnf(matrix-67, plain, ( ~xsd_string(_u67) | ~xsd_integer(_u67) )).
% 166.74/166.93 cnf(matrix-68, plain, ( xsd_integer(_u67) | xsd_string(_u67) )).
% 166.74/166.93 cnf(matrix-69, plain, ( ~cUnsatisfiable(_u96) | ~_def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) )).
% 166.74/166.93 cnf(matrix-70, plain, ( ~rr3(_u96, _u85) | ~rt3(_u85, _u82) | ~ce(_u82) | ~_def1(_u96, _u85) | ~rr2(_u96, _u89) | ~_def2(_u96, _u89) | ~rt2(_u89, _u88) | ~cd(_u88) | ~_def3(_u96) | ~rr1(_u96, _u95) | ~_def4(_u95, _u96) | ~rt1(_u95, _u94) | ~cc(_u94) | cUnsatisfiable(_u96) )).
% 166.74/166.93 cnf(matrix-71, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr3(_u96, skolem1(_u96)) )).
% 166.74/166.93 cnf(matrix-72, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt3(skolem1(_u96), skolem2(_u96)) )).
% 166.74/166.93 cnf(matrix-73, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ce(skolem2(_u96)) )).
% 166.74/166.93 cnf(matrix-74, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem1(_u96), _u70) | ~rtt(skolem1(_u96), _u69) | ( _u70 = _u69) )).
% 166.74/166.93 cnf(matrix-75, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr2(_u96, skolem3(_u96)) )).
% 166.74/166.93 cnf(matrix-76, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem3(_u96), _u73) | ~rtt(skolem3(_u96), _u72) | ( _u73 = _u72) )).
% 166.74/166.93 cnf(matrix-77, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt2(skolem3(_u96), skolem4(_u96)) )).
% 166.74/166.93 cnf(matrix-78, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | cd(skolem4(_u96)) )).
% 166.74/166.93 cnf(matrix-79, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rr(_u96, _u77) | ~rr(_u96, _u76) | ( _u77 = _u76) )).
% 166.74/166.93 cnf(matrix-80, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rr1(_u96, skolem5(_u96)) )).
% 166.74/166.93 cnf(matrix-81, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | ~rtt(skolem5(_u96), _u79) | ~rtt(skolem5(_u96), _u78) | ( _u79 = _u78) )).
% 166.74/166.93 cnf(matrix-82, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | rt1(skolem5(_u96), skolem6(_u96)) )).
% 166.74/166.93 cnf(matrix-83, plain, ( _def0(_u76, _u73, _u72, _u96, _u69, _u70, _u77, _u78, _u79) | cc(skolem6(_u96)) )).
% 166.74/166.93 cnf(matrix-84, plain, ( _def1(_u96, _u85) | rtt(_u85, skolem7(_u96, _u85)) )).
% 166.74/166.93 cnf(matrix-85, plain, ( _def1(_u96, _u85) | rtt(_u85, skolem8(_u96, _u85)) )).
% 166.74/166.93 cnf(matrix-86, plain, ( _def1(_u96, _u85) | ( skolem7(_u96, _u85) != skolem8(_u96, _u85)) )).
% 166.74/166.93 cnf(matrix-87, plain, ( _def2(_u96, _u89) | rtt(_u89, skolem9(_u96, _u89)) )).
% 166.74/166.93 cnf(matrix-88, plain, ( _def2(_u96, _u89) | rtt(_u89, skolem10(_u96, _u89)) )).
% 166.74/166.93 cnf(matrix-89, plain, ( _def2(_u96, _u89) | ( skolem9(_u96, _u89) != skolem10(_u96, _u89)) )).
% 166.74/166.93 cnf(matrix-90, plain, ( _def3(_u96) | rr(_u96, skolem11(_u96)) )).
% 166.74/166.93 cnf(matrix-91, plain, ( _def3(_u96) | rr(_u96, skolem12(_u96)) )).
% 166.74/166.93 cnf(matrix-92, plain, ( _def3(_u96) | ( skolem11(_u96) != skolem12(_u96)) )).
% 166.74/166.93 cnf(matrix-93, plain, ( _def4(_u95, _u96) | rtt(_u95, skolem13(_u96, _u95)) )).
% 166.74/166.93 cnf(matrix-94, plain, ( _def4(_u95, _u96) | rtt(_u95, skolem14(_u96, _u95)) )).
% 166.74/166.93 cnf(matrix-95, plain, ( _def4(_u95, _u96) | ( skolem13(_u96, _u95) != skolem14(_u96, _u95)) )).
% 166.74/166.93 cnf(matrix-96, plain, ( ~ca(_u97) | cc(_u97) | cd(_u97) )).
% 166.74/166.93 cnf(matrix-97, plain, ( ~_def5(_u97) | ca(_u97) )).
% 166.74/166.93 cnf(matrix-98, plain, ( _def5(_u97) | ~cc(_u97) )).
% 166.74/166.93 cnf(matrix-99, plain, ( _def5(_u97) | ~cd(_u97) )).
% 166.74/166.93 cnf(matrix-100, plain, ( cUnsatisfiable(i2003_11_14_17_20_25524) )).
% 166.74/166.93 cnf(matrix-101, plain, ( ~cc(_u98) | ~cd(_u98) )).
% 166.74/166.93 cnf(matrix-102, plain, ( ~ce(_u99) | ~cc(_u99) )).
% 166.74/166.93 cnf(matrix-103, plain, ( ~ce(_u100) | ~cd(_u100) )).
% 166.74/166.93 cnf(matrix-104, plain, ( ~rr1(_u102, _u101) | rr(_u102, _u101) )).
% 166.74/166.93 cnf(matrix-105, plain, ( ~rr2(_u104, _u103) | rr(_u104, _u103) )).
% 166.74/166.93 cnf(matrix-106, plain, ( ~rt1(_u106, _u105) | rtt(_u106, _u105) )).
% 166.74/166.93 cnf(matrix-107, plain, ( ~rt2(_u108, _u107) | rtt(_u108, _u107) )).
% 166.74/166.93 cnf(matrix-108, plain, ( ~rr3(_u110, _u109) | rr(_u110, _u109) )).
% 166.74/166.93 cnf(matrix-109, plain, ( ~rt3(_u112, _u111) | rtt(_u112, _u111) )).
% 166.74/166.93
% 166.74/166.93 % Proof stack:
% 166.74/166.93 cnf(proof-stack, plain,
% 166.74/166.93 proof_stack(
% 166.74/166.93 start(69),
% 166.74/166.93 left_branch(0, 100, 0, 2),
% 166.74/166.93 right_branch(2),
% 166.74/166.93 left_branch(0, 76, 0, 3),
% 166.74/166.93 left_branch(0, 44, 0, 4),
% 166.74/166.93 left_branch(0, 103, 0, 5),
% 166.74/166.93 left_branch(0, 78, 1, 6),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(6),
% 166.74/166.93 right_branch(5),
% 166.74/166.93 left_branch(0, 73, 1, 6),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(6),
% 166.74/166.93 right_branch(4),
% 166.74/166.93 left_branch(0, 107, 1, 5),
% 166.74/166.93 left_branch(0, 77, 1, 6),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(6),
% 166.74/166.93 right_branch(5),
% 166.74/166.93 left_branch(0, 61, 2, 6),
% 166.74/166.93 left_branch(0, 79, 3, 7),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 left_branch(0, 105, 1, 9),
% 166.74/166.93 left_branch(0, 75, 1, 10),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(10),
% 166.74/166.93 right_branch(9),
% 166.74/166.93 left_branch(0, 108, 1, 10),
% 166.74/166.93 left_branch(0, 71, 1, 11),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(11),
% 166.74/166.93 right_branch(10),
% 166.74/166.93 right_branch(7),
% 166.74/166.93 left_branch(0, 109, 1, 8),
% 166.74/166.93 left_branch(0, 72, 1, 9),
% 166.74/166.93 reduction(0, 0),
% 166.74/166.93 right_branch(9),
% 166.74/166.93 right_branch(8),
% 166.74/166.93 right_branch(6),
% 166.74/166.93 right_branch(3)
% 166.74/166.93 )).
% 166.74/166.93 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------