TSTP Solution File: KRS070+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS070+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 14:17:59 EDT 2024
% Result : Unsatisfiable 16.75s 16.95s
% Output : Proof 16.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS070+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 02:20:00 EDT 2024
% 0.13/0.34 % CPUTime :
% 16.75/16.95 % SZS status Unsatisfiable for theBenchmark
% 16.75/16.95 % SZS output start Proof for theBenchmark
% 16.75/16.95
% 16.75/16.95 % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 16.75/16.95
% 16.75/16.95 % Formula: cc1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(cc1_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cc1(_u3) | cc1(_u2) )).
% 16.75/16.95
% 16.75/16.95 % Formula: cc2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(cc2_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cc2(_u5) | cc2(_u4) )).
% 16.75/16.95
% 16.75/16.95 % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 16.75/16.95
% 16.75/16.95 % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(cowlThing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx_substitution_1-1, axiom, ( ( _u12 != _u11) | ~rrx(_u12, _u10) | rrx(_u11, _u10) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx_substitution_2-1, axiom, ( ( _u15 != _u14) | ~rrx(_u13, _u15) | rrx(_u13, _u14) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx1_substitution_1-1, axiom, ( ( _u18 != _u17) | ~rrx1(_u18, _u16) | rrx1(_u17, _u16) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx1_substitution_2-1, axiom, ( ( _u21 != _u20) | ~rrx1(_u19, _u21) | rrx1(_u19, _u20) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx1a_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx1a_substitution_1-1, axiom, ( ( _u24 != _u23) | ~rrx1a(_u24, _u22) | rrx1a(_u23, _u22) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx1a_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx1a_substitution_2-1, axiom, ( ( _u27 != _u26) | ~rrx1a(_u25, _u27) | rrx1a(_u25, _u26) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx2_substitution_1-1, axiom, ( ( _u30 != _u29) | ~rrx2(_u30, _u28) | rrx2(_u29, _u28) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx2_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx2_substitution_2-1, axiom, ( ( _u33 != _u32) | ~rrx2(_u31, _u33) | rrx2(_u31, _u32) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx2a_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx2a_substitution_1-1, axiom, ( ( _u36 != _u35) | ~rrx2a(_u36, _u34) | rrx2a(_u35, _u34) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx2a_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx2a_substitution_2-1, axiom, ( ( _u39 != _u38) | ~rrx2a(_u37, _u39) | rrx2a(_u37, _u38) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx3_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx3_substitution_1-1, axiom, ( ( _u42 != _u41) | ~rrx3(_u42, _u40) | rrx3(_u41, _u40) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx3_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx3_substitution_2-1, axiom, ( ( _u45 != _u44) | ~rrx3(_u43, _u45) | rrx3(_u43, _u44) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx3a_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx3a_substitution_1-1, axiom, ( ( _u48 != _u47) | ~rrx3a(_u48, _u46) | rrx3a(_u47, _u46) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx3a_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx3a_substitution_2-1, axiom, ( ( _u51 != _u50) | ~rrx3a(_u49, _u51) | rrx3a(_u49, _u50) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx4_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx4_substitution_1-1, axiom, ( ( _u54 != _u53) | ~rrx4(_u54, _u52) | rrx4(_u53, _u52) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx4_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx4_substitution_2-1, axiom, ( ( _u57 != _u56) | ~rrx4(_u55, _u57) | rrx4(_u55, _u56) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx4a_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx4a_substitution_1-1, axiom, ( ( _u60 != _u59) | ~rrx4a(_u60, _u58) | rrx4a(_u59, _u58) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrx4a_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrx4a_substitution_2-1, axiom, ( ( _u63 != _u62) | ~rrx4a(_u61, _u63) | rrx4a(_u61, _u62) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrxa_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrxa_substitution_1-1, axiom, ( ( _u66 != _u65) | ~rrxa(_u66, _u64) | rrxa(_u65, _u64) )).
% 16.75/16.95
% 16.75/16.95 % Formula: rrxa_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(rrxa_substitution_2-1, axiom, ( ( _u69 != _u68) | ~rrxa(_u67, _u69) | rrxa(_u67, _u68) )).
% 16.75/16.95
% 16.75/16.95 % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u71 != _u70) | ~xsd_integer(_u71) | xsd_integer(_u70) )).
% 16.75/16.95
% 16.75/16.95 % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(xsd_string_substitution_1-1, axiom, ( ( _u73 != _u72) | ~xsd_string(_u73) | xsd_string(_u72) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_0-1, axiom, ( cowlThing(_u74) )).
% 16.75/16.95 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u74) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_1-1, axiom, ( ~xsd_string(_u75) | ~xsd_integer(_u75) )).
% 16.75/16.95 cnf(axiom_1-2, axiom, ( xsd_integer(_u75) | xsd_string(_u75) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u82) | ~_def0(_u77, _u82) )).
% 16.75/16.95 cnf(axiom_2-2, axiom, ( ~rrx4(_u82, _u79) | ~cc2(_u79) | ~_def1(_u82) | ~rrx3(_u82, _u81) | ~cc1(_u81) | cUnsatisfiable(_u82) )).
% 16.75/16.95 cnf(axiom_2-3, axiom, ( _def0(_u77, _u82) | rrx4(_u82, skolem1(_u82)) )).
% 16.75/16.95 cnf(axiom_2-4, axiom, ( _def0(_u77, _u82) | cc2(skolem1(_u82)) )).
% 16.75/16.95 cnf(axiom_2-5, axiom, ( _def0(_u77, _u82) | ~rrx3(_u82, _u77) | ~cc2(_u77) | ~cc1(_u77) )).
% 16.75/16.95 cnf(axiom_2-6, axiom, ( _def0(_u77, _u82) | rrx3(_u82, skolem2(_u82)) )).
% 16.75/16.95 cnf(axiom_2-7, axiom, ( _def0(_u77, _u82) | cc1(skolem2(_u82)) )).
% 16.75/16.95 cnf(axiom_2-8, axiom, ( _def1(_u82) | rrx3(_u82, skolem3(_u82)) )).
% 16.75/16.95 cnf(axiom_2-9, axiom, ( _def1(_u82) | cc2(skolem3(_u82)) )).
% 16.75/16.95 cnf(axiom_2-10, axiom, ( _def1(_u82) | cc1(skolem3(_u82)) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_3-1, axiom, ( ~rrx(_u85, _u84) | ~rrx(_u85, _u83) | ( _u84 = _u83) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_4-1, axiom, ( ~rrx3(_u88, _u87) | ~rrx3(_u88, _u86) | ( _u87 = _u86) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_5-1, axiom, ( ~rrx3a(_u91, _u90) | ~rrx3a(_u91, _u89) | ( _u90 = _u89) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_6-1, axiom, ( ~rrx4(_u94, _u93) | ~rrx4(_u94, _u92) | ( _u93 = _u92) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_7-1, axiom, ( ~rrx4a(_u97, _u96) | ~rrx4a(_u97, _u95) | ( _u96 = _u95) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_8-1, axiom, ( cUnsatisfiable(i2003_11_14_17_18_32242) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_9-1, axiom, ( ~rrx3(_u99, _u98) | rrx(_u99, _u98) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_10-1, axiom, ( ~rrx3a(_u101, _u100) | rrxa(_u101, _u100) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_11-1, axiom, ( ~rrx4a(_u103, _u102) | rrxa(_u103, _u102) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_12-1, axiom, ( ~rrx4(_u105, _u104) | rrx2(_u105, _u104) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_13-1, axiom, ( ~rrx3a(_u107, _u106) | rrx1a(_u107, _u106) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_14 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_14-1, axiom, ( ~rrx4a(_u109, _u108) | rrx2a(_u109, _u108) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_15 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_15-1, axiom, ( ~rrx3(_u111, _u110) | rrx1(_u111, _u110) )).
% 16.75/16.95
% 16.75/16.95 % Formula: axiom_16 ( axiom ) (definitionally) converted to clauses:
% 16.75/16.95 cnf(axiom_16-1, axiom, ( ~rrx4(_u113, _u112) | rrx(_u113, _u112) )).
% 16.75/16.95
% 16.75/16.95 % Problem matrix:
% 16.75/16.95 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 16.75/16.95 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 16.75/16.95 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 16.75/16.95 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 16.75/16.95 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 16.75/16.95 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 16.75/16.95 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 16.75/16.95 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cc1(__eqx_0) | cc1(__eqy_0) )).
% 16.75/16.95 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cc2(__eqx_0) | cc2(__eqy_0) )).
% 16.75/16.95 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 16.75/16.95 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 16.75/16.95 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx(__eqx_0, __eqx_1) | rrx(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx1(__eqx_0, __eqx_1) | rrx1(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx1a(__eqx_0, __eqx_1) | rrx1a(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx2(__eqx_0, __eqx_1) | rrx2(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx2a(__eqx_0, __eqx_1) | rrx2a(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx3(__eqx_0, __eqx_1) | rrx3(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx3a(__eqx_0, __eqx_1) | rrx3a(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx4(__eqx_0, __eqx_1) | rrx4(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrx4a(__eqx_0, __eqx_1) | rrx4a(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rrxa(__eqx_0, __eqx_1) | rrxa(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 16.75/16.95 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 16.75/16.95 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 16.75/16.95 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 16.75/16.95 cnf(matrix-25, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 16.75/16.95 cnf(matrix-26, plain, ( ( _u3 != _u2) | ~cc1(_u3) | cc1(_u2) )).
% 16.75/16.95 cnf(matrix-27, plain, ( ( _u5 != _u4) | ~cc2(_u5) | cc2(_u4) )).
% 16.75/16.95 cnf(matrix-28, plain, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 16.75/16.95 cnf(matrix-29, plain, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 16.75/16.95 cnf(matrix-30, plain, ( ( _u12 != _u11) | ~rrx(_u12, _u10) | rrx(_u11, _u10) )).
% 16.75/16.95 cnf(matrix-31, plain, ( ( _u15 != _u14) | ~rrx(_u13, _u15) | rrx(_u13, _u14) )).
% 16.75/16.95 cnf(matrix-32, plain, ( ( _u18 != _u17) | ~rrx1(_u18, _u16) | rrx1(_u17, _u16) )).
% 16.75/16.95 cnf(matrix-33, plain, ( ( _u21 != _u20) | ~rrx1(_u19, _u21) | rrx1(_u19, _u20) )).
% 16.75/16.95 cnf(matrix-34, plain, ( ( _u24 != _u23) | ~rrx1a(_u24, _u22) | rrx1a(_u23, _u22) )).
% 16.75/16.95 cnf(matrix-35, plain, ( ( _u27 != _u26) | ~rrx1a(_u25, _u27) | rrx1a(_u25, _u26) )).
% 16.75/16.95 cnf(matrix-36, plain, ( ( _u30 != _u29) | ~rrx2(_u30, _u28) | rrx2(_u29, _u28) )).
% 16.75/16.95 cnf(matrix-37, plain, ( ( _u33 != _u32) | ~rrx2(_u31, _u33) | rrx2(_u31, _u32) )).
% 16.75/16.95 cnf(matrix-38, plain, ( ( _u36 != _u35) | ~rrx2a(_u36, _u34) | rrx2a(_u35, _u34) )).
% 16.75/16.95 cnf(matrix-39, plain, ( ( _u39 != _u38) | ~rrx2a(_u37, _u39) | rrx2a(_u37, _u38) )).
% 16.75/16.95 cnf(matrix-40, plain, ( ( _u42 != _u41) | ~rrx3(_u42, _u40) | rrx3(_u41, _u40) )).
% 16.75/16.95 cnf(matrix-41, plain, ( ( _u45 != _u44) | ~rrx3(_u43, _u45) | rrx3(_u43, _u44) )).
% 16.75/16.95 cnf(matrix-42, plain, ( ( _u48 != _u47) | ~rrx3a(_u48, _u46) | rrx3a(_u47, _u46) )).
% 16.75/16.95 cnf(matrix-43, plain, ( ( _u51 != _u50) | ~rrx3a(_u49, _u51) | rrx3a(_u49, _u50) )).
% 16.75/16.95 cnf(matrix-44, plain, ( ( _u54 != _u53) | ~rrx4(_u54, _u52) | rrx4(_u53, _u52) )).
% 16.75/16.95 cnf(matrix-45, plain, ( ( _u57 != _u56) | ~rrx4(_u55, _u57) | rrx4(_u55, _u56) )).
% 16.75/16.95 cnf(matrix-46, plain, ( ( _u60 != _u59) | ~rrx4a(_u60, _u58) | rrx4a(_u59, _u58) )).
% 16.75/16.95 cnf(matrix-47, plain, ( ( _u63 != _u62) | ~rrx4a(_u61, _u63) | rrx4a(_u61, _u62) )).
% 16.75/16.95 cnf(matrix-48, plain, ( ( _u66 != _u65) | ~rrxa(_u66, _u64) | rrxa(_u65, _u64) )).
% 16.75/16.95 cnf(matrix-49, plain, ( ( _u69 != _u68) | ~rrxa(_u67, _u69) | rrxa(_u67, _u68) )).
% 16.75/16.95 cnf(matrix-50, plain, ( ( _u71 != _u70) | ~xsd_integer(_u71) | xsd_integer(_u70) )).
% 16.75/16.95 cnf(matrix-51, plain, ( ( _u73 != _u72) | ~xsd_string(_u73) | xsd_string(_u72) )).
% 16.75/16.95 cnf(matrix-52, plain, ( cowlThing(_u74) )).
% 16.75/16.95 cnf(matrix-53, plain, ( ~cowlNothing(_u74) )).
% 16.75/16.95 cnf(matrix-54, plain, ( ~xsd_string(_u75) | ~xsd_integer(_u75) )).
% 16.75/16.95 cnf(matrix-55, plain, ( xsd_integer(_u75) | xsd_string(_u75) )).
% 16.75/16.95 cnf(matrix-56, plain, ( ~cUnsatisfiable(_u82) | ~_def0(_u77, _u82) )).
% 16.75/16.95 cnf(matrix-57, plain, ( ~rrx4(_u82, _u79) | ~cc2(_u79) | ~_def1(_u82) | ~rrx3(_u82, _u81) | ~cc1(_u81) | cUnsatisfiable(_u82) )).
% 16.75/16.95 cnf(matrix-58, plain, ( _def0(_u77, _u82) | rrx4(_u82, skolem1(_u82)) )).
% 16.75/16.95 cnf(matrix-59, plain, ( _def0(_u77, _u82) | cc2(skolem1(_u82)) )).
% 16.75/16.95 cnf(matrix-60, plain, ( _def0(_u77, _u82) | ~rrx3(_u82, _u77) | ~cc2(_u77) | ~cc1(_u77) )).
% 16.75/16.95 cnf(matrix-61, plain, ( _def0(_u77, _u82) | rrx3(_u82, skolem2(_u82)) )).
% 16.75/16.95 cnf(matrix-62, plain, ( _def0(_u77, _u82) | cc1(skolem2(_u82)) )).
% 16.75/16.95 cnf(matrix-63, plain, ( _def1(_u82) | rrx3(_u82, skolem3(_u82)) )).
% 16.75/16.95 cnf(matrix-64, plain, ( _def1(_u82) | cc2(skolem3(_u82)) )).
% 16.75/16.95 cnf(matrix-65, plain, ( _def1(_u82) | cc1(skolem3(_u82)) )).
% 16.75/16.95 cnf(matrix-66, plain, ( ~rrx(_u85, _u84) | ~rrx(_u85, _u83) | ( _u84 = _u83) )).
% 16.75/16.95 cnf(matrix-67, plain, ( ~rrx3(_u88, _u87) | ~rrx3(_u88, _u86) | ( _u87 = _u86) )).
% 16.75/16.95 cnf(matrix-68, plain, ( ~rrx3a(_u91, _u90) | ~rrx3a(_u91, _u89) | ( _u90 = _u89) )).
% 16.75/16.95 cnf(matrix-69, plain, ( ~rrx4(_u94, _u93) | ~rrx4(_u94, _u92) | ( _u93 = _u92) )).
% 16.75/16.95 cnf(matrix-70, plain, ( ~rrx4a(_u97, _u96) | ~rrx4a(_u97, _u95) | ( _u96 = _u95) )).
% 16.75/16.95 cnf(matrix-71, plain, ( cUnsatisfiable(i2003_11_14_17_18_32242) )).
% 16.75/16.95 cnf(matrix-72, plain, ( ~rrx3(_u99, _u98) | rrx(_u99, _u98) )).
% 16.75/16.95 cnf(matrix-73, plain, ( ~rrx3a(_u101, _u100) | rrxa(_u101, _u100) )).
% 16.75/16.95 cnf(matrix-74, plain, ( ~rrx4a(_u103, _u102) | rrxa(_u103, _u102) )).
% 16.75/16.95 cnf(matrix-75, plain, ( ~rrx4(_u105, _u104) | rrx2(_u105, _u104) )).
% 16.75/16.95 cnf(matrix-76, plain, ( ~rrx3a(_u107, _u106) | rrx1a(_u107, _u106) )).
% 16.75/16.95 cnf(matrix-77, plain, ( ~rrx4a(_u109, _u108) | rrx2a(_u109, _u108) )).
% 16.75/16.95 cnf(matrix-78, plain, ( ~rrx3(_u111, _u110) | rrx1(_u111, _u110) )).
% 16.75/16.95 cnf(matrix-79, plain, ( ~rrx4(_u113, _u112) | rrx(_u113, _u112) )).
% 16.75/16.95
% 16.75/16.95 % Proof stack:
% 16.75/16.95 cnf(proof-stack, plain,
% 16.75/16.95 proof_stack(
% 16.75/16.95 start(56),
% 16.75/16.95 left_branch(0, 71, 0, 2),
% 16.75/16.95 right_branch(2),
% 16.75/16.95 left_branch(0, 61, 0, 3),
% 16.75/16.95 left_branch(0, 72, 0, 4),
% 16.75/16.95 left_branch(0, 66, 0, 5),
% 16.75/16.95 left_branch(0, 26, 0, 6),
% 16.75/16.95 left_branch(0, 60, 3, 7),
% 16.75/16.95 reduction(0, 0),
% 16.75/16.95 left_branch(0, 59, 1, 9),
% 16.75/16.95 reduction(0, 0),
% 16.75/16.95 right_branch(9),
% 16.75/16.95 left_branch(0, 41, 2, 10),
% 16.75/16.95 reduction(0, 3),
% 16.75/16.95 reduction(0, 1),
% 16.75/16.95 right_branch(10),
% 16.75/16.95 right_branch(7),
% 16.75/16.95 left_branch(0, 62, 1, 8),
% 16.75/16.95 reduction(0, 0),
% 16.75/16.95 right_branch(8),
% 16.75/16.95 right_branch(6),
% 16.75/16.95 left_branch(0, 79, 1, 7),
% 16.75/16.95 left_branch(0, 58, 1, 8),
% 16.75/16.95 reduction(0, 0),
% 16.75/16.95 right_branch(8),
% 16.75/16.95 right_branch(7),
% 16.75/16.95 right_branch(5),
% 16.75/16.95 right_branch(4),
% 16.75/16.95 right_branch(3)
% 16.75/16.95 )).
% 16.75/16.95 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------