TSTP Solution File: GEO147+1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Wed Mar 6 09:02:47 EST 2024
% Result : Theorem 14.67s 14.82s
% Output : Proof 14.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % 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 : Mon Mar 4 12:56:17 EST 2024
% 0.12/0.33 % CPUTime :
% 14.67/14.82 % SZS status Theorem for theBenchmark
% 14.67/14.82 % SZS output start Proof for theBenchmark
% 14.67/14.82
% 14.67/14.82 % Formula: part_of_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(part_of_defn-1, axiom, ( ~part_of(_u4, _u6) | ~incident_c(_u0, _u4) | incident_c(_u0, _u6) )).
% 14.67/14.82 cnf(part_of_defn-2, axiom, ( part_of(_u5, _u7) | incident_c(skolem1(_u7, _u5), _u5) )).
% 14.67/14.82 cnf(part_of_defn-3, axiom, ( part_of(_u5, _u7) | ~incident_c(skolem1(_u7, _u5), _u7) )).
% 14.67/14.82
% 14.67/14.82 % Formula: sum_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(sum_defn-1, axiom, ( ( _u21 != sum(_u19, _u17)) | ~incident_c(_u13, _u21) | incident_c(_u13, _u19) | incident_c(_u13, _u17) )).
% 14.67/14.82 cnf(sum_defn-2, axiom, ( ( _u21 != sum(_u19, _u17)) | incident_c(_u14, _u21) | ~incident_c(_u14, _u19) )).
% 14.67/14.82 cnf(sum_defn-3, axiom, ( ( _u21 != sum(_u19, _u17)) | incident_c(_u14, _u21) | ~incident_c(_u14, _u17) )).
% 14.67/14.82 cnf(sum_defn-4, axiom, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem2(_u22, _u20, _u18), _u22) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) )).
% 14.67/14.82 cnf(sum_defn-5, axiom, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem2(_u22, _u20, _u18), _u22) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) )).
% 14.67/14.82 cnf(sum_defn-6, axiom, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) | ~incident_c(skolem2(_u22, _u20, _u18), _u20) )).
% 14.67/14.82 cnf(sum_defn-7, axiom, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) | ~incident_c(skolem2(_u22, _u20, _u18), _u18) )).
% 14.67/14.82 cnf(sum_defn-8, axiom, ( ( _u22 = sum(_u20, _u18)) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) | ~incident_c(skolem2(_u22, _u20, _u18), _u20) )).
% 14.67/14.82 cnf(sum_defn-9, axiom, ( ( _u22 = sum(_u20, _u18)) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) | ~incident_c(skolem2(_u22, _u20, _u18), _u18) )).
% 14.67/14.82
% 14.67/14.82 % Formula: end_point_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(end_point_defn-1, axiom, ( ~end_point(_u31, _u29) | incident_c(_u31, _u29) )).
% 14.67/14.82 cnf(end_point_defn-2, axiom, ( ~end_point(_u31, _u29) | ~part_of(_u24, _u29) | ~part_of(_u23, _u29) | ~incident_c(_u31, _u24) | ~incident_c(_u31, _u23) | part_of(_u24, _u23) | part_of(_u23, _u24) )).
% 14.67/14.82 cnf(end_point_defn-3, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | part_of(skolem4(_u32, _u30), _u30) )).
% 14.67/14.82 cnf(end_point_defn-4, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | part_of(skolem5(_u32, _u30), _u30) )).
% 14.67/14.82 cnf(end_point_defn-5, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | incident_c(_u32, skolem4(_u32, _u30)) )).
% 14.67/14.82 cnf(end_point_defn-6, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | incident_c(_u32, skolem5(_u32, _u30)) )).
% 14.67/14.82 cnf(end_point_defn-7, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | ~part_of(skolem4(_u32, _u30), skolem5(_u32, _u30)) )).
% 14.67/14.82 cnf(end_point_defn-8, axiom, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | ~part_of(skolem5(_u32, _u30), skolem4(_u32, _u30)) )).
% 14.67/14.82
% 14.67/14.82 % Formula: inner_point_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(inner_point_defn-1, axiom, ( ~inner_point(_u37, _u35) | incident_c(_u37, _u35) )).
% 14.67/14.82 cnf(inner_point_defn-2, axiom, ( ~inner_point(_u37, _u35) | ~end_point(_u37, _u35) )).
% 14.67/14.82 cnf(inner_point_defn-3, axiom, ( ~incident_c(_u38, _u36) | end_point(_u38, _u36) | inner_point(_u38, _u36) )).
% 14.67/14.82
% 14.67/14.82 % Formula: meet_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(meet_defn-1, axiom, ( ~meet(_u48, _u46, _u44) | incident_c(_u48, _u46) )).
% 14.67/14.82 cnf(meet_defn-2, axiom, ( ~meet(_u48, _u46, _u44) | incident_c(_u48, _u44) )).
% 14.67/14.82 cnf(meet_defn-3, axiom, ( ~meet(_u48, _u46, _u44) | ~incident_c(_u39, _u46) | ~incident_c(_u39, _u44) | end_point(_u39, _u46) )).
% 14.67/14.82 cnf(meet_defn-4, axiom, ( ~meet(_u48, _u46, _u44) | ~incident_c(_u39, _u46) | ~incident_c(_u39, _u44) | end_point(_u39, _u44) )).
% 14.67/14.82 cnf(meet_defn-5, axiom, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | incident_c(skolem6(_u49, _u47, _u45), _u47) )).
% 14.67/14.82 cnf(meet_defn-6, axiom, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | incident_c(skolem6(_u49, _u47, _u45), _u45) )).
% 14.67/14.82 cnf(meet_defn-7, axiom, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | ~end_point(skolem6(_u49, _u47, _u45), _u47) | ~end_point(skolem6(_u49, _u47, _u45), _u45) )).
% 14.67/14.82
% 14.67/14.82 % Formula: closed_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(closed_defn-1, axiom, ( ~closed(_u53) | ~end_point(_u50, _u53) )).
% 14.67/14.82 cnf(closed_defn-2, axiom, ( end_point(skolem7(_u54), _u54) | closed(_u54) )).
% 14.67/14.82
% 14.67/14.82 % Formula: open_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(open_defn-1, axiom, ( ~open(_u58) | end_point(skolem8(_u58), _u58) )).
% 14.67/14.82 cnf(open_defn-2, axiom, ( ~end_point(_u56, _u59) | open(_u59) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c1 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c1-1, axiom, ( ~part_of(_u60, _u61) | ( _u60 = _u61) | open(_u60) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c2 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c2-1, axiom, ( ~part_of(_u65, _u66) | ~part_of(_u64, _u66) | ~part_of(_u63, _u66) | ~end_point(_u62, _u65) | ~end_point(_u62, _u64) | ~end_point(_u62, _u63) | part_of(_u64, _u63) | part_of(_u63, _u64) | part_of(_u65, _u64) | part_of(_u64, _u65) | part_of(_u65, _u63) | part_of(_u63, _u65) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c3 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c3-1, axiom, ( inner_point(skolem9(_u68), _u68) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c4 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c4-1, axiom, ( ~inner_point(_u71, _u72) | meet(_u71, skolem10(_u72, _u71), skolem11(_u72, _u71)) )).
% 14.67/14.82 cnf(c4-2, axiom, ( ~inner_point(_u71, _u72) | ( _u72 = sum(skolem10(_u72, _u71), skolem11(_u72, _u71))) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c5 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c5-1, axiom, ( ~end_point(_u75, _u76) | ~end_point(_u74, _u76) | ~end_point(_u73, _u76) | ( _u75 = _u74) | ( _u75 = _u73) | ( _u74 = _u73) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c6 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c6-1, axiom, ( ~end_point(_u78, _u79) | end_point(skolem12(_u79, _u78), _u79) )).
% 14.67/14.82 cnf(c6-2, axiom, ( ~end_point(_u78, _u79) | ( _u78 != skolem12(_u79, _u78)) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c7 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c7-1, axiom, ( ~end_point(_u80, _u83) | meet(_u80, _u83, _u82) | ~closed(_u84) | ( _u84 != sum(_u83, _u82)) | ~meet(_u81, _u83, _u82) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c8 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c8-1, axiom, ( ~meet(_u85, _u88, _u87) | ( skolem13(_u88, _u87) = sum(_u88, _u87)) )).
% 14.67/14.82
% 14.67/14.82 % Formula: c9 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(c9-1, axiom, ( ( _u91 = _u90) | incident_c(skolem14(_u91, _u90), _u91) | incident_c(skolem15(_u91, _u90), _u90) )).
% 14.67/14.82 cnf(c9-2, axiom, ( ( _u91 = _u90) | incident_c(skolem14(_u91, _u90), _u91) | ~incident_c(skolem15(_u91, _u90), _u91) )).
% 14.67/14.82 cnf(c9-3, axiom, ( ( _u91 = _u90) | ~incident_c(skolem14(_u91, _u90), _u90) | incident_c(skolem15(_u91, _u90), _u90) )).
% 14.67/14.82 cnf(c9-4, axiom, ( ( _u91 = _u90) | ~incident_c(skolem14(_u91, _u90), _u90) | ~incident_c(skolem15(_u91, _u90), _u91) )).
% 14.67/14.82
% 14.67/14.82 % Formula: between_c_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(between_c_defn-1, axiom, ( ~between_c(_u106, _u104, _u102, _u100) | ( _u104 != _u100) )).
% 14.67/14.82 cnf(between_c_defn-2, axiom, ( ~between_c(_u106, _u104, _u102, _u100) | part_of(skolem16(_u106, _u104, _u102, _u100), _u106) )).
% 14.67/14.82 cnf(between_c_defn-3, axiom, ( ~between_c(_u106, _u104, _u102, _u100) | end_point(_u104, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.82 cnf(between_c_defn-4, axiom, ( ~between_c(_u106, _u104, _u102, _u100) | end_point(_u100, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.82 cnf(between_c_defn-5, axiom, ( ~between_c(_u106, _u104, _u102, _u100) | inner_point(_u102, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.82 cnf(between_c_defn-6, axiom, ( ( _u105 = _u101) | ~part_of(_u95, _u107) | ~end_point(_u105, _u95) | ~end_point(_u101, _u95) | ~inner_point(_u103, _u95) | between_c(_u107, _u105, _u103, _u101) )).
% 14.67/14.82
% 14.67/14.82 % Formula: between_o_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(between_o_defn-1, axiom, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u116, _u114) | ordered_by(_u118, _u112, _u114) )).
% 14.67/14.82 cnf(between_o_defn-2, axiom, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u116, _u114) | ordered_by(_u118, _u114, _u116) )).
% 14.67/14.82 cnf(between_o_defn-3, axiom, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u114, _u112) | ordered_by(_u118, _u112, _u114) )).
% 14.67/14.82 cnf(between_o_defn-4, axiom, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u114, _u112) | ordered_by(_u118, _u114, _u116) )).
% 14.67/14.82 cnf(between_o_defn-5, axiom, ( between_o(_u119, _u117, _u115, _u113) | ~ordered_by(_u119, _u117, _u115) | ~ordered_by(_u119, _u115, _u113) )).
% 14.67/14.82 cnf(between_o_defn-6, axiom, ( between_o(_u119, _u117, _u115, _u113) | ~ordered_by(_u119, _u113, _u115) | ~ordered_by(_u119, _u115, _u117) )).
% 14.67/14.82
% 14.67/14.82 % Formula: start_point_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(start_point_defn-1, axiom, ( ~start_point(_u126, _u124) | incident_o(_u126, _u124) )).
% 14.67/14.82 cnf(start_point_defn-2, axiom, ( ~start_point(_u126, _u124) | ( _u126 = _u120) | ~incident_o(_u120, _u124) | ordered_by(_u124, _u126, _u120) )).
% 14.67/14.82 cnf(start_point_defn-3, axiom, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | ( _u127 != skolem17(_u127, _u125)) )).
% 14.67/14.82 cnf(start_point_defn-4, axiom, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | incident_o(skolem17(_u127, _u125), _u125) )).
% 14.67/14.82 cnf(start_point_defn-5, axiom, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | ~ordered_by(_u125, _u127, skolem17(_u127, _u125)) )).
% 14.67/14.82
% 14.67/14.82 % Formula: finish_point_defn ( axiom ) converted to clauses:
% 14.67/14.82 cnf(finish_point_defn-1, axiom, ( ~finish_point(_u134, _u132) | incident_o(_u134, _u132) )).
% 14.67/14.82 cnf(finish_point_defn-2, axiom, ( ~finish_point(_u134, _u132) | ( _u134 = _u128) | ~incident_o(_u128, _u132) | ordered_by(_u132, _u128, _u134) )).
% 14.67/14.82 cnf(finish_point_defn-3, axiom, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | ( _u135 != skolem18(_u135, _u133)) )).
% 14.67/14.82 cnf(finish_point_defn-4, axiom, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | incident_o(skolem18(_u135, _u133), _u133) )).
% 14.67/14.82 cnf(finish_point_defn-5, axiom, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | ~ordered_by(_u133, skolem18(_u135, _u133), _u135) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o1 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o1-1, axiom, ( ~ordered_by(_u138, _u137, _u136) | incident_o(_u137, _u138) )).
% 14.67/14.82 cnf(o1-2, axiom, ( ~ordered_by(_u138, _u137, _u136) | incident_o(_u136, _u138) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o2 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o2-1, axiom, ( open(skolem19(_u141)) )).
% 14.67/14.82 cnf(o2-2, axiom, ( ~incident_o(_u142, _u141) | incident_c(_u142, skolem19(_u141)) )).
% 14.67/14.82 cnf(o2-3, axiom, ( ~incident_c(_u143, skolem19(_u141)) | incident_o(_u143, _u141) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o3 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o3-1, axiom, ( ~between_o(_u156, _u162, _u160, _u158) | ~incident_o(_u152, _u156) | incident_c(_u152, skolem20(_u162, _u160, _u158, _u156)) )).
% 14.67/14.82 cnf(o3-2, axiom, ( ~between_o(_u156, _u162, _u160, _u158) | ~incident_c(_u153, skolem20(_u162, _u160, _u158, _u156)) | incident_o(_u153, _u156) )).
% 14.67/14.82 cnf(o3-3, axiom, ( ~between_o(_u156, _u162, _u160, _u158) | between_c(skolem20(_u162, _u160, _u158, _u156), _u162, _u160, _u158) )).
% 14.67/14.82 cnf(o3-4, axiom, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | incident_o(skolem21(_u163, _u161, _u159, _u157, _u147), _u157) | incident_c(skolem22(_u163, _u161, _u159, _u157, _u147), _u147) )).
% 14.67/14.82 cnf(o3-5, axiom, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | incident_o(skolem21(_u163, _u161, _u159, _u157, _u147), _u157) | ~incident_o(skolem22(_u163, _u161, _u159, _u157, _u147), _u157) )).
% 14.67/14.82 cnf(o3-6, axiom, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | ~incident_c(skolem21(_u163, _u161, _u159, _u157, _u147), _u147) | incident_c(skolem22(_u163, _u161, _u159, _u157, _u147), _u147) )).
% 14.67/14.82 cnf(o3-7, axiom, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | ~incident_c(skolem21(_u163, _u161, _u159, _u157, _u147), _u147) | ~incident_o(skolem22(_u163, _u161, _u159, _u157, _u147), _u157) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o4 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o4-1, axiom, ( start_point(skolem23(_u165), _u165) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o5 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o5-1, axiom, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ~incident_o(_u171, skolem24(_u170, _u169, _u168)) | incident_c(_u171, _u168) )).
% 14.67/14.82 cnf(o5-2, axiom, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ~incident_c(_u172, _u168) | incident_o(_u172, skolem24(_u170, _u169, _u168)) )).
% 14.67/14.82 cnf(o5-3, axiom, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ordered_by(skolem24(_u170, _u169, _u168), _u170, _u169) )).
% 14.67/14.82
% 14.67/14.82 % Formula: o6 ( axiom ) converted to clauses:
% 14.67/14.82 cnf(o6-1, axiom, ( ( _u176 = _u175) | ordered_by(_u176, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ordered_by(_u175, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.82 cnf(o6-2, axiom, ( ( _u176 = _u175) | ordered_by(_u176, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ~ordered_by(_u176, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.82 cnf(o6-3, axiom, ( ( _u176 = _u175) | ~ordered_by(_u175, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ordered_by(_u175, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.82 cnf(o6-4, axiom, ( ( _u176 = _u175) | ~ordered_by(_u175, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ~ordered_by(_u176, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.82
% 14.67/14.82 % Formula: underlying_curve_defn ( axiom ) converted to clauses:
% 14.67/14.83 cnf(underlying_curve_defn-1, axiom, ( ( _u191 != underlying_curve(_u189)) | ~incident_o(_u185, _u189) | incident_c(_u185, _u191) )).
% 14.67/14.83 cnf(underlying_curve_defn-2, axiom, ( ( _u191 != underlying_curve(_u189)) | ~incident_c(_u186, _u191) | incident_o(_u186, _u189) )).
% 14.67/14.83 cnf(underlying_curve_defn-3, axiom, ( ( _u192 = underlying_curve(_u190)) | incident_o(skolem29(_u192, _u190), _u190) | incident_c(skolem30(_u192, _u190), _u192) )).
% 14.67/14.83 cnf(underlying_curve_defn-4, axiom, ( ( _u192 = underlying_curve(_u190)) | incident_o(skolem29(_u192, _u190), _u190) | ~incident_o(skolem30(_u192, _u190), _u190) )).
% 14.67/14.83 cnf(underlying_curve_defn-5, axiom, ( ( _u192 = underlying_curve(_u190)) | ~incident_c(skolem29(_u192, _u190), _u192) | incident_c(skolem30(_u192, _u190), _u192) )).
% 14.67/14.83 cnf(underlying_curve_defn-6, axiom, ( ( _u192 = underlying_curve(_u190)) | ~incident_c(skolem29(_u192, _u190), _u192) | ~incident_o(skolem30(_u192, _u190), _u190) )).
% 14.67/14.83
% 14.67/14.83 % Formula: connect_defn ( axiom ) converted to clauses:
% 14.67/14.83 cnf(connect_defn-1, axiom, ( ~connect(_u200, _u198, _u196) | once(at_the_same_time(at(_u200, _u196), at(_u198, _u196))) )).
% 14.67/14.83 cnf(connect_defn-2, axiom, ( ~once(at_the_same_time(at(_u201, _u197), at(_u199, _u197))) | connect(_u201, _u199, _u197) )).
% 14.67/14.83
% 14.67/14.83 % Formula: symmetry_of_at_the_same_time ( axiom ) converted to clauses:
% 14.67/14.83 cnf(symmetry_of_at_the_same_time-1, axiom, ( ~once(at_the_same_time(_u206, _u204)) | once(at_the_same_time(_u204, _u206)) )).
% 14.67/14.83 cnf(symmetry_of_at_the_same_time-2, axiom, ( ~once(at_the_same_time(_u205, _u207)) | once(at_the_same_time(_u207, _u205)) )).
% 14.67/14.83
% 14.67/14.83 % Formula: assciativity_of_at_the_same_time ( axiom ) converted to clauses:
% 14.67/14.83 cnf(assciativity_of_at_the_same_time-1, axiom, ( ~once(at_the_same_time(at_the_same_time(_u215, _u213), _u211)) | once(at_the_same_time(_u215, at_the_same_time(_u213, _u211))) )).
% 14.67/14.83 cnf(assciativity_of_at_the_same_time-2, axiom, ( ~once(at_the_same_time(_u216, at_the_same_time(_u214, _u212))) | once(at_the_same_time(at_the_same_time(_u216, _u214), _u212)) )).
% 14.67/14.83
% 14.67/14.83 % Formula: idempotence_of_at_the_same_time ( axiom ) converted to clauses:
% 14.67/14.83 cnf(idempotence_of_at_the_same_time-1, axiom, ( ~once(_u217) | once(at_the_same_time(_u217, _u217)) )).
% 14.67/14.83
% 14.67/14.83 % Formula: conjunction_at_the_same_time ( axiom ) converted to clauses:
% 14.67/14.83 cnf(conjunction_at_the_same_time-1, axiom, ( ~once(at_the_same_time(_u219, _u218)) | once(_u219) )).
% 14.67/14.83 cnf(conjunction_at_the_same_time-2, axiom, ( ~once(at_the_same_time(_u219, _u218)) | once(_u218) )).
% 14.67/14.83
% 14.67/14.83 % Formula: at_on_trajectory ( axiom ) converted to clauses:
% 14.67/14.83 cnf(at_on_trajectory-1, axiom, ( ~once(at(_u224, _u222)) | incident_o(_u222, trajectory_of(_u224)) )).
% 14.67/14.83 cnf(at_on_trajectory-2, axiom, ( ~incident_o(_u223, trajectory_of(_u225)) | once(at(_u225, _u223)) )).
% 14.67/14.83
% 14.67/14.83 % Formula: trajectories_are_oriented_curves ( axiom ) converted to clauses:
% 14.67/14.83 cnf(trajectories_are_oriented_curves-1, axiom, ( ( trajectory_of(_u227) = skolem31(_u227)) )).
% 14.67/14.83
% 14.67/14.83 % Formula: homogeneous_behaviour ( axiom ) converted to clauses:
% 14.67/14.83 cnf(homogeneous_behaviour-1, axiom, ( ~once(at_the_same_time(at(_u229, _u233), at(_u228, _u232))) | ~once(at_the_same_time(at(_u229, _u231), at(_u228, _u230))) | ~ordered_by(trajectory_of(_u229), _u233, _u231) | ~ordered_by(trajectory_of(_u228), _u230, _u232) )).
% 14.67/14.83
% 14.67/14.83 % Formula: localization ( axiom ) converted to clauses:
% 14.67/14.83 cnf(localization-1, axiom, ( ~once(_u236) | once(at_the_same_time(_u236, at(_u235, skolem32(_u236, _u235)))) )).
% 14.67/14.83
% 14.67/14.83 % Formula: t13 ( conjecture ) converted to clauses:
% 14.67/14.83 cnf(t13-1, negated_conjecture, ( connect(skolem34, skolem35, skolem33) )).
% 14.67/14.83 cnf(t13-2, negated_conjecture, ( ~incident_o(skolem33, trajectory_of(skolem34)) | ~incident_o(skolem33, trajectory_of(skolem35)) )).
% 14.67/14.83
% 14.67/14.83 % Problem matrix:
% 14.67/14.83 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 14.67/14.83 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 14.67/14.83 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 14.67/14.83 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sum(__eqx_0, __eqx_1) = sum(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( underlying_curve(__eqx_0) = underlying_curve(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( at(__eqx_0, __eqx_1) = at(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( at_the_same_time(__eqx_0, __eqx_1) = at_the_same_time(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( trajectory_of(__eqx_0) = trajectory_of(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.67/14.83 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.67/14.83 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.67/14.83 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem15(__eqx_0, __eqx_1) = skolem15(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 14.67/14.83 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( skolem19(__eqx_0) = skolem19(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 14.67/14.83 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 14.67/14.83 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 14.67/14.83 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( skolem23(__eqx_0) = skolem23(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem24(__eqx_0, __eqx_1, __eqx_2) = skolem24(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.67/14.83 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem25(__eqx_0, __eqx_1) = skolem25(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem30(__eqx_0, __eqx_1) = skolem30(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( skolem31(__eqx_0) = skolem31(__eqy_0)) )).
% 14.67/14.83 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 14.67/14.83 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~part_of(__eqx_0, __eqx_1) | part_of(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~incident_c(__eqx_0, __eqx_1) | incident_c(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~end_point(__eqx_0, __eqx_1) | end_point(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~inner_point(__eqx_0, __eqx_1) | inner_point(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~meet(__eqx_0, __eqx_1, __eqx_2) | meet(__eqy_0, __eqy_1, __eqy_2) )).
% 14.67/14.83 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ~closed(__eqx_0) | closed(__eqy_0) )).
% 14.67/14.83 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~open(__eqx_0) | open(__eqy_0) )).
% 14.67/14.83 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~between_c(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | between_c(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 14.67/14.83 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~between_o(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | between_o(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 14.67/14.83 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~ordered_by(__eqx_0, __eqx_1, __eqx_2) | ordered_by(__eqy_0, __eqy_1, __eqy_2) )).
% 14.67/14.83 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~start_point(__eqx_0, __eqx_1) | start_point(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~incident_o(__eqx_0, __eqx_1) | incident_o(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~finish_point(__eqx_0, __eqx_1) | finish_point(__eqy_0, __eqy_1) )).
% 14.67/14.83 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~connect(__eqx_0, __eqx_1, __eqx_2) | connect(__eqy_0, __eqy_1, __eqy_2) )).
% 14.67/14.83 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ~once(__eqx_0) | once(__eqy_0) )).
% 14.67/14.83 cnf(matrix-55, plain, ( ~part_of(_u4, _u6) | ~incident_c(_u0, _u4) | incident_c(_u0, _u6) )).
% 14.67/14.83 cnf(matrix-56, plain, ( part_of(_u5, _u7) | incident_c(skolem1(_u7, _u5), _u5) )).
% 14.67/14.83 cnf(matrix-57, plain, ( part_of(_u5, _u7) | ~incident_c(skolem1(_u7, _u5), _u7) )).
% 14.67/14.83 cnf(matrix-58, plain, ( ( _u21 != sum(_u19, _u17)) | ~incident_c(_u13, _u21) | incident_c(_u13, _u19) | incident_c(_u13, _u17) )).
% 14.67/14.83 cnf(matrix-59, plain, ( ( _u21 != sum(_u19, _u17)) | incident_c(_u14, _u21) | ~incident_c(_u14, _u19) )).
% 14.67/14.83 cnf(matrix-60, plain, ( ( _u21 != sum(_u19, _u17)) | incident_c(_u14, _u21) | ~incident_c(_u14, _u17) )).
% 14.67/14.83 cnf(matrix-61, plain, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem2(_u22, _u20, _u18), _u22) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) )).
% 14.67/14.83 cnf(matrix-62, plain, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem2(_u22, _u20, _u18), _u22) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) )).
% 14.67/14.83 cnf(matrix-63, plain, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) | ~incident_c(skolem2(_u22, _u20, _u18), _u20) )).
% 14.67/14.83 cnf(matrix-64, plain, ( ( _u22 = sum(_u20, _u18)) | incident_c(skolem3(_u22, _u20, _u18), _u20) | incident_c(skolem3(_u22, _u20, _u18), _u18) | ~incident_c(skolem2(_u22, _u20, _u18), _u18) )).
% 14.67/14.83 cnf(matrix-65, plain, ( ( _u22 = sum(_u20, _u18)) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) | ~incident_c(skolem2(_u22, _u20, _u18), _u20) )).
% 14.67/14.83 cnf(matrix-66, plain, ( ( _u22 = sum(_u20, _u18)) | ~incident_c(skolem3(_u22, _u20, _u18), _u22) | ~incident_c(skolem2(_u22, _u20, _u18), _u18) )).
% 14.67/14.83 cnf(matrix-67, plain, ( ~end_point(_u31, _u29) | incident_c(_u31, _u29) )).
% 14.67/14.83 cnf(matrix-68, plain, ( ~end_point(_u31, _u29) | ~part_of(_u24, _u29) | ~part_of(_u23, _u29) | ~incident_c(_u31, _u24) | ~incident_c(_u31, _u23) | part_of(_u24, _u23) | part_of(_u23, _u24) )).
% 14.67/14.83 cnf(matrix-69, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | part_of(skolem4(_u32, _u30), _u30) )).
% 14.67/14.83 cnf(matrix-70, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | part_of(skolem5(_u32, _u30), _u30) )).
% 14.67/14.83 cnf(matrix-71, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | incident_c(_u32, skolem4(_u32, _u30)) )).
% 14.67/14.83 cnf(matrix-72, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | incident_c(_u32, skolem5(_u32, _u30)) )).
% 14.67/14.83 cnf(matrix-73, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | ~part_of(skolem4(_u32, _u30), skolem5(_u32, _u30)) )).
% 14.67/14.83 cnf(matrix-74, plain, ( end_point(_u32, _u30) | ~incident_c(_u32, _u30) | ~part_of(skolem5(_u32, _u30), skolem4(_u32, _u30)) )).
% 14.67/14.83 cnf(matrix-75, plain, ( ~inner_point(_u37, _u35) | incident_c(_u37, _u35) )).
% 14.67/14.83 cnf(matrix-76, plain, ( ~inner_point(_u37, _u35) | ~end_point(_u37, _u35) )).
% 14.67/14.83 cnf(matrix-77, plain, ( ~incident_c(_u38, _u36) | end_point(_u38, _u36) | inner_point(_u38, _u36) )).
% 14.67/14.83 cnf(matrix-78, plain, ( ~meet(_u48, _u46, _u44) | incident_c(_u48, _u46) )).
% 14.67/14.83 cnf(matrix-79, plain, ( ~meet(_u48, _u46, _u44) | incident_c(_u48, _u44) )).
% 14.67/14.83 cnf(matrix-80, plain, ( ~meet(_u48, _u46, _u44) | ~incident_c(_u39, _u46) | ~incident_c(_u39, _u44) | end_point(_u39, _u46) )).
% 14.67/14.83 cnf(matrix-81, plain, ( ~meet(_u48, _u46, _u44) | ~incident_c(_u39, _u46) | ~incident_c(_u39, _u44) | end_point(_u39, _u44) )).
% 14.67/14.83 cnf(matrix-82, plain, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | incident_c(skolem6(_u49, _u47, _u45), _u47) )).
% 14.67/14.83 cnf(matrix-83, plain, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | incident_c(skolem6(_u49, _u47, _u45), _u45) )).
% 14.67/14.83 cnf(matrix-84, plain, ( meet(_u49, _u47, _u45) | ~incident_c(_u49, _u47) | ~incident_c(_u49, _u45) | ~end_point(skolem6(_u49, _u47, _u45), _u47) | ~end_point(skolem6(_u49, _u47, _u45), _u45) )).
% 14.67/14.83 cnf(matrix-85, plain, ( ~closed(_u53) | ~end_point(_u50, _u53) )).
% 14.67/14.83 cnf(matrix-86, plain, ( end_point(skolem7(_u54), _u54) | closed(_u54) )).
% 14.67/14.83 cnf(matrix-87, plain, ( ~open(_u58) | end_point(skolem8(_u58), _u58) )).
% 14.67/14.83 cnf(matrix-88, plain, ( ~end_point(_u56, _u59) | open(_u59) )).
% 14.67/14.83 cnf(matrix-89, plain, ( ~part_of(_u60, _u61) | ( _u60 = _u61) | open(_u60) )).
% 14.67/14.83 cnf(matrix-90, plain, ( ~part_of(_u65, _u66) | ~part_of(_u64, _u66) | ~part_of(_u63, _u66) | ~end_point(_u62, _u65) | ~end_point(_u62, _u64) | ~end_point(_u62, _u63) | part_of(_u64, _u63) | part_of(_u63, _u64) | part_of(_u65, _u64) | part_of(_u64, _u65) | part_of(_u65, _u63) | part_of(_u63, _u65) )).
% 14.67/14.83 cnf(matrix-91, plain, ( inner_point(skolem9(_u68), _u68) )).
% 14.67/14.83 cnf(matrix-92, plain, ( ~inner_point(_u71, _u72) | meet(_u71, skolem10(_u72, _u71), skolem11(_u72, _u71)) )).
% 14.67/14.83 cnf(matrix-93, plain, ( ~inner_point(_u71, _u72) | ( _u72 = sum(skolem10(_u72, _u71), skolem11(_u72, _u71))) )).
% 14.67/14.83 cnf(matrix-94, plain, ( ~end_point(_u75, _u76) | ~end_point(_u74, _u76) | ~end_point(_u73, _u76) | ( _u75 = _u74) | ( _u75 = _u73) | ( _u74 = _u73) )).
% 14.67/14.83 cnf(matrix-95, plain, ( ~end_point(_u78, _u79) | end_point(skolem12(_u79, _u78), _u79) )).
% 14.67/14.83 cnf(matrix-96, plain, ( ~end_point(_u78, _u79) | ( _u78 != skolem12(_u79, _u78)) )).
% 14.67/14.83 cnf(matrix-97, plain, ( ~end_point(_u80, _u83) | meet(_u80, _u83, _u82) | ~closed(_u84) | ( _u84 != sum(_u83, _u82)) | ~meet(_u81, _u83, _u82) )).
% 14.67/14.83 cnf(matrix-98, plain, ( ~meet(_u85, _u88, _u87) | ( skolem13(_u88, _u87) = sum(_u88, _u87)) )).
% 14.67/14.83 cnf(matrix-99, plain, ( ( _u91 = _u90) | incident_c(skolem14(_u91, _u90), _u91) | incident_c(skolem15(_u91, _u90), _u90) )).
% 14.67/14.83 cnf(matrix-100, plain, ( ( _u91 = _u90) | incident_c(skolem14(_u91, _u90), _u91) | ~incident_c(skolem15(_u91, _u90), _u91) )).
% 14.67/14.83 cnf(matrix-101, plain, ( ( _u91 = _u90) | ~incident_c(skolem14(_u91, _u90), _u90) | incident_c(skolem15(_u91, _u90), _u90) )).
% 14.67/14.83 cnf(matrix-102, plain, ( ( _u91 = _u90) | ~incident_c(skolem14(_u91, _u90), _u90) | ~incident_c(skolem15(_u91, _u90), _u91) )).
% 14.67/14.83 cnf(matrix-103, plain, ( ~between_c(_u106, _u104, _u102, _u100) | ( _u104 != _u100) )).
% 14.67/14.83 cnf(matrix-104, plain, ( ~between_c(_u106, _u104, _u102, _u100) | part_of(skolem16(_u106, _u104, _u102, _u100), _u106) )).
% 14.67/14.83 cnf(matrix-105, plain, ( ~between_c(_u106, _u104, _u102, _u100) | end_point(_u104, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.83 cnf(matrix-106, plain, ( ~between_c(_u106, _u104, _u102, _u100) | end_point(_u100, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.83 cnf(matrix-107, plain, ( ~between_c(_u106, _u104, _u102, _u100) | inner_point(_u102, skolem16(_u106, _u104, _u102, _u100)) )).
% 14.67/14.83 cnf(matrix-108, plain, ( ( _u105 = _u101) | ~part_of(_u95, _u107) | ~end_point(_u105, _u95) | ~end_point(_u101, _u95) | ~inner_point(_u103, _u95) | between_c(_u107, _u105, _u103, _u101) )).
% 14.67/14.83 cnf(matrix-109, plain, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u116, _u114) | ordered_by(_u118, _u112, _u114) )).
% 14.67/14.83 cnf(matrix-110, plain, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u116, _u114) | ordered_by(_u118, _u114, _u116) )).
% 14.67/14.83 cnf(matrix-111, plain, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u114, _u112) | ordered_by(_u118, _u112, _u114) )).
% 14.67/14.83 cnf(matrix-112, plain, ( ~between_o(_u118, _u116, _u114, _u112) | ordered_by(_u118, _u114, _u112) | ordered_by(_u118, _u114, _u116) )).
% 14.67/14.83 cnf(matrix-113, plain, ( between_o(_u119, _u117, _u115, _u113) | ~ordered_by(_u119, _u117, _u115) | ~ordered_by(_u119, _u115, _u113) )).
% 14.67/14.83 cnf(matrix-114, plain, ( between_o(_u119, _u117, _u115, _u113) | ~ordered_by(_u119, _u113, _u115) | ~ordered_by(_u119, _u115, _u117) )).
% 14.67/14.83 cnf(matrix-115, plain, ( ~start_point(_u126, _u124) | incident_o(_u126, _u124) )).
% 14.67/14.83 cnf(matrix-116, plain, ( ~start_point(_u126, _u124) | ( _u126 = _u120) | ~incident_o(_u120, _u124) | ordered_by(_u124, _u126, _u120) )).
% 14.67/14.83 cnf(matrix-117, plain, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | ( _u127 != skolem17(_u127, _u125)) )).
% 14.67/14.83 cnf(matrix-118, plain, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | incident_o(skolem17(_u127, _u125), _u125) )).
% 14.67/14.83 cnf(matrix-119, plain, ( start_point(_u127, _u125) | ~incident_o(_u127, _u125) | ~ordered_by(_u125, _u127, skolem17(_u127, _u125)) )).
% 14.67/14.83 cnf(matrix-120, plain, ( ~finish_point(_u134, _u132) | incident_o(_u134, _u132) )).
% 14.67/14.83 cnf(matrix-121, plain, ( ~finish_point(_u134, _u132) | ( _u134 = _u128) | ~incident_o(_u128, _u132) | ordered_by(_u132, _u128, _u134) )).
% 14.67/14.83 cnf(matrix-122, plain, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | ( _u135 != skolem18(_u135, _u133)) )).
% 14.67/14.83 cnf(matrix-123, plain, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | incident_o(skolem18(_u135, _u133), _u133) )).
% 14.67/14.83 cnf(matrix-124, plain, ( finish_point(_u135, _u133) | ~incident_o(_u135, _u133) | ~ordered_by(_u133, skolem18(_u135, _u133), _u135) )).
% 14.67/14.83 cnf(matrix-125, plain, ( ~ordered_by(_u138, _u137, _u136) | incident_o(_u137, _u138) )).
% 14.67/14.83 cnf(matrix-126, plain, ( ~ordered_by(_u138, _u137, _u136) | incident_o(_u136, _u138) )).
% 14.67/14.83 cnf(matrix-127, plain, ( open(skolem19(_u141)) )).
% 14.67/14.83 cnf(matrix-128, plain, ( ~incident_o(_u142, _u141) | incident_c(_u142, skolem19(_u141)) )).
% 14.67/14.83 cnf(matrix-129, plain, ( ~incident_c(_u143, skolem19(_u141)) | incident_o(_u143, _u141) )).
% 14.67/14.83 cnf(matrix-130, plain, ( ~between_o(_u156, _u162, _u160, _u158) | ~incident_o(_u152, _u156) | incident_c(_u152, skolem20(_u162, _u160, _u158, _u156)) )).
% 14.67/14.83 cnf(matrix-131, plain, ( ~between_o(_u156, _u162, _u160, _u158) | ~incident_c(_u153, skolem20(_u162, _u160, _u158, _u156)) | incident_o(_u153, _u156) )).
% 14.67/14.83 cnf(matrix-132, plain, ( ~between_o(_u156, _u162, _u160, _u158) | between_c(skolem20(_u162, _u160, _u158, _u156), _u162, _u160, _u158) )).
% 14.67/14.83 cnf(matrix-133, plain, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | incident_o(skolem21(_u163, _u161, _u159, _u157, _u147), _u157) | incident_c(skolem22(_u163, _u161, _u159, _u157, _u147), _u147) )).
% 14.67/14.83 cnf(matrix-134, plain, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | incident_o(skolem21(_u163, _u161, _u159, _u157, _u147), _u157) | ~incident_o(skolem22(_u163, _u161, _u159, _u157, _u147), _u157) )).
% 14.67/14.83 cnf(matrix-135, plain, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | ~incident_c(skolem21(_u163, _u161, _u159, _u157, _u147), _u147) | incident_c(skolem22(_u163, _u161, _u159, _u157, _u147), _u147) )).
% 14.67/14.83 cnf(matrix-136, plain, ( between_o(_u157, _u163, _u161, _u159) | ~between_c(_u147, _u163, _u161, _u159) | ~incident_c(skolem21(_u163, _u161, _u159, _u157, _u147), _u147) | ~incident_o(skolem22(_u163, _u161, _u159, _u157, _u147), _u157) )).
% 14.67/14.83 cnf(matrix-137, plain, ( start_point(skolem23(_u165), _u165) )).
% 14.67/14.83 cnf(matrix-138, plain, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ~incident_o(_u171, skolem24(_u170, _u169, _u168)) | incident_c(_u171, _u168) )).
% 14.67/14.83 cnf(matrix-139, plain, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ~incident_c(_u172, _u168) | incident_o(_u172, skolem24(_u170, _u169, _u168)) )).
% 14.67/14.83 cnf(matrix-140, plain, ( ~open(_u168) | ( _u170 = _u169) | ~incident_c(_u170, _u168) | ~incident_c(_u169, _u168) | ordered_by(skolem24(_u170, _u169, _u168), _u170, _u169) )).
% 14.67/14.83 cnf(matrix-141, plain, ( ( _u176 = _u175) | ordered_by(_u176, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ordered_by(_u175, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.83 cnf(matrix-142, plain, ( ( _u176 = _u175) | ordered_by(_u176, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ~ordered_by(_u176, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.83 cnf(matrix-143, plain, ( ( _u176 = _u175) | ~ordered_by(_u175, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ordered_by(_u175, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.83 cnf(matrix-144, plain, ( ( _u176 = _u175) | ~ordered_by(_u175, skolem25(_u176, _u175), skolem26(_u176, _u175)) | ~ordered_by(_u176, skolem27(_u176, _u175), skolem28(_u176, _u175)) )).
% 14.67/14.83 cnf(matrix-145, plain, ( ( _u191 != underlying_curve(_u189)) | ~incident_o(_u185, _u189) | incident_c(_u185, _u191) )).
% 14.67/14.83 cnf(matrix-146, plain, ( ( _u191 != underlying_curve(_u189)) | ~incident_c(_u186, _u191) | incident_o(_u186, _u189) )).
% 14.67/14.83 cnf(matrix-147, plain, ( ( _u192 = underlying_curve(_u190)) | incident_o(skolem29(_u192, _u190), _u190) | incident_c(skolem30(_u192, _u190), _u192) )).
% 14.67/14.83 cnf(matrix-148, plain, ( ( _u192 = underlying_curve(_u190)) | incident_o(skolem29(_u192, _u190), _u190) | ~incident_o(skolem30(_u192, _u190), _u190) )).
% 14.67/14.83 cnf(matrix-149, plain, ( ( _u192 = underlying_curve(_u190)) | ~incident_c(skolem29(_u192, _u190), _u192) | incident_c(skolem30(_u192, _u190), _u192) )).
% 14.67/14.83 cnf(matrix-150, plain, ( ( _u192 = underlying_curve(_u190)) | ~incident_c(skolem29(_u192, _u190), _u192) | ~incident_o(skolem30(_u192, _u190), _u190) )).
% 14.67/14.83 cnf(matrix-151, plain, ( ~connect(_u200, _u198, _u196) | once(at_the_same_time(at(_u200, _u196), at(_u198, _u196))) )).
% 14.67/14.83 cnf(matrix-152, plain, ( ~once(at_the_same_time(at(_u201, _u197), at(_u199, _u197))) | connect(_u201, _u199, _u197) )).
% 14.67/14.83 cnf(matrix-153, plain, ( ~once(at_the_same_time(_u206, _u204)) | once(at_the_same_time(_u204, _u206)) )).
% 14.67/14.83 cnf(matrix-154, plain, ( ~once(at_the_same_time(_u205, _u207)) | once(at_the_same_time(_u207, _u205)) )).
% 14.67/14.83 cnf(matrix-155, plain, ( ~once(at_the_same_time(at_the_same_time(_u215, _u213), _u211)) | once(at_the_same_time(_u215, at_the_same_time(_u213, _u211))) )).
% 14.67/14.83 cnf(matrix-156, plain, ( ~once(at_the_same_time(_u216, at_the_same_time(_u214, _u212))) | once(at_the_same_time(at_the_same_time(_u216, _u214), _u212)) )).
% 14.67/14.83 cnf(matrix-157, plain, ( ~once(_u217) | once(at_the_same_time(_u217, _u217)) )).
% 14.67/14.83 cnf(matrix-158, plain, ( ~once(at_the_same_time(_u219, _u218)) | once(_u219) )).
% 14.67/14.83 cnf(matrix-159, plain, ( ~once(at_the_same_time(_u219, _u218)) | once(_u218) )).
% 14.67/14.83 cnf(matrix-160, plain, ( ~once(at(_u224, _u222)) | incident_o(_u222, trajectory_of(_u224)) )).
% 14.67/14.83 cnf(matrix-161, plain, ( ~incident_o(_u223, trajectory_of(_u225)) | once(at(_u225, _u223)) )).
% 14.67/14.83 cnf(matrix-162, plain, ( ( trajectory_of(_u227) = skolem31(_u227)) )).
% 14.67/14.83 cnf(matrix-163, plain, ( ~once(at_the_same_time(at(_u229, _u233), at(_u228, _u232))) | ~once(at_the_same_time(at(_u229, _u231), at(_u228, _u230))) | ~ordered_by(trajectory_of(_u229), _u233, _u231) | ~ordered_by(trajectory_of(_u228), _u230, _u232) )).
% 14.67/14.83 cnf(matrix-164, plain, ( ~once(_u236) | once(at_the_same_time(_u236, at(_u235, skolem32(_u236, _u235)))) )).
% 14.67/14.83 cnf(matrix-165, plain, ( connect(skolem34, skolem35, skolem33) )).
% 14.67/14.83 cnf(matrix-166, plain, ( ~incident_o(skolem33, trajectory_of(skolem34)) | ~incident_o(skolem33, trajectory_of(skolem35)) )).
% 14.67/14.83
% 14.67/14.83 % Proof stack:
% 14.67/14.83 cnf(proof-stack, plain,
% 14.67/14.83 proof_stack(
% 14.67/14.83 start(166),
% 14.67/14.83 left_branch(0, 160, 1, 2),
% 14.67/14.83 left_branch(0, 158, 1, 3),
% 14.67/14.83 left_branch(0, 151, 1, 4),
% 14.67/14.83 left_branch(0, 165, 0, 5),
% 14.67/14.83 right_branch(5),
% 14.67/14.83 right_branch(4),
% 14.67/14.83 right_branch(3),
% 14.67/14.83 right_branch(2),
% 14.67/14.83 left_branch(0, 160, 1, 3),
% 14.67/14.83 left_branch(0, 159, 1, 4),
% 14.67/14.83 left_branch(0, 151, 1, 5),
% 14.67/14.83 left_branch(0, 165, 0, 6),
% 14.67/14.83 right_branch(6),
% 14.67/14.83 right_branch(5),
% 14.67/14.83 right_branch(4),
% 14.67/14.83 right_branch(3)
% 14.67/14.83 )).
% 14.67/14.83 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------