TSTP Solution File: SWV381+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n015.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 09:24:27 EST 2024
% Result : Theorem 21.68s 21.91s
% Output : Proof 21.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Mar 4 09:54:02 EST 2024
% 0.12/0.34 % CPUTime :
% 21.68/21.91 % SZS status Theorem for theBenchmark
% 21.68/21.91 % SZS output start Proof for theBenchmark
% 21.68/21.91
% 21.68/21.91 % Formula: transitivity ( axiom ) converted to clauses:
% 21.68/21.91 cnf(transitivity-1, axiom, ( ~less_than(_u2, _u1) | ~less_than(_u1, _u0) | less_than(_u2, _u0) )).
% 21.68/21.91
% 21.68/21.91 % Formula: totality ( axiom ) converted to clauses:
% 21.68/21.91 cnf(totality-1, axiom, ( less_than(_u4, _u3) | less_than(_u3, _u4) )).
% 21.68/21.91
% 21.68/21.91 % Formula: reflexivity ( axiom ) converted to clauses:
% 21.68/21.91 cnf(reflexivity-1, axiom, ( less_than(_u5, _u5) )).
% 21.68/21.91
% 21.68/21.91 % Formula: stricly_smaller_definition ( axiom ) converted to clauses:
% 21.68/21.91 cnf(stricly_smaller_definition-1, axiom, ( ~strictly_less_than(_u10, _u8) | less_than(_u10, _u8) )).
% 21.68/21.91 cnf(stricly_smaller_definition-2, axiom, ( ~strictly_less_than(_u10, _u8) | ~less_than(_u8, _u10) )).
% 21.68/21.91 cnf(stricly_smaller_definition-3, axiom, ( ~less_than(_u11, _u9) | less_than(_u9, _u11) | strictly_less_than(_u11, _u9) )).
% 21.68/21.91
% 21.68/21.91 % Formula: bottom_smallest ( axiom ) converted to clauses:
% 21.68/21.91 cnf(bottom_smallest-1, axiom, ( less_than(bottom, _u12) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax6 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax6-1, axiom, ( ~isnonempty_pq(create_pq) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax7 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax7-1, axiom, ( isnonempty_pq(insert_pq(_u14, _u13)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax8 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax8-1, axiom, ( ~contains_pq(create_pq, _u15) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax9 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax9-1, axiom, ( ~contains_pq(insert_pq(_u23, _u21), _u19) | contains_pq(_u23, _u19) | ( _u21 = _u19) )).
% 21.68/21.91 cnf(ax9-2, axiom, ( contains_pq(insert_pq(_u24, _u22), _u20) | ~contains_pq(_u24, _u20) )).
% 21.68/21.91 cnf(ax9-3, axiom, ( contains_pq(insert_pq(_u24, _u22), _u20) | ( _u22 != _u20) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax10 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax10-1, axiom, ( ~issmallestelement_pq(_u31, _u29) | ~contains_pq(_u31, _u25) | less_than(_u29, _u25) )).
% 21.68/21.91 cnf(ax10-2, axiom, ( issmallestelement_pq(_u32, _u30) | contains_pq(_u32, skolem1(_u32, _u30)) )).
% 21.68/21.91 cnf(ax10-3, axiom, ( issmallestelement_pq(_u32, _u30) | ~less_than(_u30, skolem1(_u32, _u30)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax11 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax11-1, axiom, ( ( remove_pq(insert_pq(_u34, _u33), _u33) = _u34) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax12 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax12-1, axiom, ( ~contains_pq(_u37, _u35) | ( _u36 = _u35) | ( remove_pq(insert_pq(_u37, _u36), _u35) = insert_pq(remove_pq(_u37, _u35), _u36)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax13 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax13-1, axiom, ( ~contains_pq(_u39, _u38) | ~issmallestelement_pq(_u39, _u38) | ( findmin_pq_eff(_u39, _u38) = _u39) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax14 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax14-1, axiom, ( ~contains_pq(_u41, _u40) | ~issmallestelement_pq(_u41, _u40) | ( findmin_pq_res(_u41, _u40) = _u40) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax15 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax15-1, axiom, ( ~contains_pq(_u43, _u42) | ~issmallestelement_pq(_u43, _u42) | ( removemin_pq_eff(_u43, _u42) = remove_pq(_u43, _u42)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax16 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax16-1, axiom, ( ~contains_pq(_u45, _u44) | ~issmallestelement_pq(_u45, _u44) | ( removemin_pq_res(_u45, _u44) = _u44) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax17 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax17-1, axiom, ( ( insert_pq(insert_pq(_u48, _u47), _u46) = insert_pq(insert_pq(_u48, _u46), _u47)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax18 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax18-1, axiom, ( ~isnonempty_slb(create_slb) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax19 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax19-1, axiom, ( isnonempty_slb(insert_slb(_u51, pair(_u50, _u49))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax20 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax20-1, axiom, ( ~contains_slb(create_slb, _u52) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax21 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax21-1, axiom, ( contains_slb(_u63, _u59) | ( _u61 = _u59) | ~contains_slb(insert_slb(_u63, pair(_u61, _u57)), _u59) )).
% 21.68/21.91 cnf(ax21-2, axiom, ( contains_slb(insert_slb(_u64, pair(_u62, _u58)), _u60) | ~contains_slb(_u64, _u60) )).
% 21.68/21.91 cnf(ax21-3, axiom, ( contains_slb(insert_slb(_u64, pair(_u62, _u58)), _u60) | ( _u62 != _u60) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax22 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax22-1, axiom, ( ~pair_in_list(create_slb, _u66, _u65) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax23 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax23-1, axiom, ( ~pair_in_list(insert_slb(_u80, pair(_u78, _u74)), _u76, _u72) | pair_in_list(_u80, _u76, _u72) | ( _u78 = _u76) )).
% 21.68/21.91 cnf(ax23-2, axiom, ( ~pair_in_list(insert_slb(_u80, pair(_u78, _u74)), _u76, _u72) | pair_in_list(_u80, _u76, _u72) | ( _u74 = _u72) )).
% 21.68/21.91 cnf(ax23-3, axiom, ( pair_in_list(insert_slb(_u81, pair(_u79, _u75)), _u77, _u73) | ~pair_in_list(_u81, _u77, _u73) )).
% 21.68/21.91 cnf(ax23-4, axiom, ( pair_in_list(insert_slb(_u81, pair(_u79, _u75)), _u77, _u73) | ( _u79 != _u77) | ( _u75 != _u73) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax24 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax24-1, axiom, ( ( remove_slb(insert_slb(_u84, pair(_u83, _u82)), _u83) = _u84) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax25 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax25-1, axiom, ( ( _u87 = _u86) | ~contains_slb(_u88, _u86) | ( remove_slb(insert_slb(_u88, pair(_u87, _u85)), _u86) = insert_slb(remove_slb(_u88, _u86), pair(_u87, _u85))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax26 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax26-1, axiom, ( ( lookup_slb(insert_slb(_u91, pair(_u90, _u89)), _u90) = _u89) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax27 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax27-1, axiom, ( ( _u94 = _u93) | ~contains_slb(_u95, _u93) | ( lookup_slb(insert_slb(_u95, pair(_u94, _u92)), _u93) = lookup_slb(_u95, _u93)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax28 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax28-1, axiom, ( ( update_slb(create_slb, _u96) = create_slb) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax29 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax29-1, axiom, ( ~strictly_less_than(_u97, _u98) | ( update_slb(insert_slb(_u100, pair(_u99, _u97)), _u98) = insert_slb(update_slb(_u100, _u98), pair(_u99, _u98))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax30 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax30-1, axiom, ( ~less_than(_u102, _u101) | ( update_slb(insert_slb(_u104, pair(_u103, _u101)), _u102) = insert_slb(update_slb(_u104, _u102), pair(_u103, _u101))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax31 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax31-1, axiom, ( succ_cpq(_u105, _u105) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax32 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax32-1, axiom, ( ~succ_cpq(_u108, _u107) | succ_cpq(_u108, insert_cpq(_u107, _u106)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax33 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax33-1, axiom, ( ~succ_cpq(_u111, _u110) | succ_cpq(_u111, remove_cpq(_u110, _u109)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax34 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax34-1, axiom, ( ~succ_cpq(_u113, _u112) | succ_cpq(_u113, findmin_cpq_eff(_u112)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax35 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax35-1, axiom, ( ~succ_cpq(_u115, _u114) | succ_cpq(_u115, removemin_cpq_eff(_u114)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax36 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax36-1, axiom, ( check_cpq(triple(_u117, create_slb, _u116)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax37 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax37-1, axiom, ( ~less_than(_u118, _u119) | ~check_cpq(triple(_u122, insert_slb(_u121, pair(_u119, _u118)), _u120)) | check_cpq(triple(_u122, _u121, _u120)) )).
% 21.68/21.91 cnf(ax37-2, axiom, ( ~less_than(_u118, _u119) | ~check_cpq(triple(_u122, _u121, _u120)) | check_cpq(triple(_u122, insert_slb(_u121, pair(_u119, _u118)), _u120)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax38 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax38-1, axiom, ( ~strictly_less_than(_u124, _u123) | ~check_cpq(triple(_u127, insert_slb(_u126, pair(_u124, _u123)), _u125)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax39 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax39-1, axiom, ( ~contains_cpq(triple(_u138, _u136, _u134), _u132) | contains_slb(_u136, _u132) )).
% 21.68/21.91 cnf(ax39-2, axiom, ( ~contains_slb(_u137, _u133) | contains_cpq(triple(_u139, _u137, _u135), _u133) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax40 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax40-1, axiom, ( ~ok(triple(_u144, _u142, bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax41 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax41-1, axiom, ( ok(triple(_u148, _u147, _u146)) | ( _u146 = bad) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax42 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax42-1, axiom, ( ( insert_cpq(triple(_u152, _u151, _u150), _u149) = triple(insert_pqp(_u152, _u149), insert_slb(_u151, pair(_u149, bottom)), _u150)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax43 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax43-1, axiom, ( contains_slb(_u155, _u153) | ( remove_cpq(triple(_u156, _u155, _u154), _u153) = triple(_u156, _u155, bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax44 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax44-1, axiom, ( ~contains_slb(_u159, _u157) | ~less_than(lookup_slb(_u159, _u157), _u157) | ( remove_cpq(triple(_u160, _u159, _u158), _u157) = triple(remove_pqp(_u160, _u157), remove_slb(_u159, _u157), _u158)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax45 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax45-1, axiom, ( ~contains_slb(_u163, _u161) | ~strictly_less_than(_u161, lookup_slb(_u163, _u161)) | ( remove_cpq(triple(_u164, _u163, _u162), _u161) = triple(remove_pqp(_u164, _u161), remove_slb(_u163, _u161), bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax46 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax46-1, axiom, ( ( findmin_cpq_eff(triple(_u166, create_slb, _u165)) = triple(_u166, create_slb, bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax47 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax47-1, axiom, ( ( _u169 = create_slb) | contains_slb(_u169, findmin_pqp_res(_u170)) | ( findmin_cpq_eff(triple(_u170, _u169, _u168)) = triple(_u170, update_slb(_u169, findmin_pqp_res(_u170)), bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax48 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax48-1, axiom, ( ( _u173 = create_slb) | ~contains_slb(_u173, findmin_pqp_res(_u174)) | ~strictly_less_than(findmin_pqp_res(_u174), lookup_slb(_u173, findmin_pqp_res(_u174))) | ( findmin_cpq_eff(triple(_u174, _u173, _u172)) = triple(_u174, update_slb(_u173, findmin_pqp_res(_u174)), bad)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax49 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax49-1, axiom, ( ( _u177 = create_slb) | ~contains_slb(_u177, findmin_pqp_res(_u178)) | ~less_than(lookup_slb(_u177, findmin_pqp_res(_u178)), findmin_pqp_res(_u178)) | ( findmin_cpq_eff(triple(_u178, _u177, _u176)) = triple(_u178, update_slb(_u177, findmin_pqp_res(_u178)), _u176)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax50 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax50-1, axiom, ( ( findmin_cpq_res(triple(_u180, create_slb, _u179)) = bottom) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax51 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax51-1, axiom, ( ( _u183 = create_slb) | ( findmin_cpq_res(triple(_u184, _u183, _u182)) = findmin_pqp_res(_u184)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax52 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax52-1, axiom, ( ( removemin_cpq_eff(_u185) = remove_cpq(findmin_cpq_eff(_u185), findmin_cpq_res(_u185))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax53 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax53-1, axiom, ( ( removemin_cpq_res(_u186) = findmin_cpq_res(_u186)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax54 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax54-1, axiom, ( ( i(triple(_u188, create_slb, _u187)) = create_pq) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax55 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax55-1, axiom, ( ( i(triple(_u193, insert_slb(_u192, pair(_u190, _u189)), _u191)) = insert_pq(i(triple(_u193, _u192, _u191)), _u190)) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax56 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax56-1, axiom, ( ~pi_sharp_remove(_u198, _u196) | contains_pq(_u198, _u196) )).
% 21.68/21.91 cnf(ax56-2, axiom, ( ~contains_pq(_u199, _u197) | pi_sharp_remove(_u199, _u197) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax57 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax57-1, axiom, ( ~pi_remove(_u204, _u202) | pi_sharp_remove(i(_u204), _u202) )).
% 21.68/21.91 cnf(ax57-2, axiom, ( ~pi_sharp_remove(i(_u205), _u203) | pi_remove(_u205, _u203) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax58 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax58-1, axiom, ( ~pi_sharp_find_min(_u210, _u208) | contains_pq(_u210, _u208) )).
% 21.68/21.91 cnf(ax58-2, axiom, ( ~pi_sharp_find_min(_u210, _u208) | issmallestelement_pq(_u210, _u208) )).
% 21.68/21.91 cnf(ax58-3, axiom, ( ~contains_pq(_u211, _u209) | ~issmallestelement_pq(_u211, _u209) | pi_sharp_find_min(_u211, _u209) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax59 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax59-1, axiom, ( ~pi_find_min(_u215) | pi_sharp_find_min(i(_u215), skolem2(_u215)) )).
% 21.68/21.91 cnf(ax59-2, axiom, ( ~pi_sharp_find_min(i(_u216), _u213) | pi_find_min(_u216) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax60 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax60-1, axiom, ( ~pi_sharp_removemin(_u221, _u219) | contains_pq(_u221, _u219) )).
% 21.68/21.91 cnf(ax60-2, axiom, ( ~pi_sharp_removemin(_u221, _u219) | issmallestelement_pq(_u221, _u219) )).
% 21.68/21.91 cnf(ax60-3, axiom, ( ~contains_pq(_u222, _u220) | ~issmallestelement_pq(_u222, _u220) | pi_sharp_removemin(_u222, _u220) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax61 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax61-1, axiom, ( ~pi_removemin(_u226) | pi_sharp_find_min(i(_u226), skolem3(_u226)) )).
% 21.68/21.91 cnf(ax61-2, axiom, ( ~pi_sharp_find_min(i(_u227), _u224) | pi_removemin(_u227) )).
% 21.68/21.91
% 21.68/21.91 % Formula: ax62 ( axiom ) converted to clauses:
% 21.68/21.91 cnf(ax62-1, axiom, ( ~phi(_u231) | succ_cpq(_u231, skolem4(_u231)) )).
% 21.68/21.91 cnf(ax62-2, axiom, ( ~phi(_u231) | ok(skolem4(_u231)) )).
% 21.68/21.91 cnf(ax62-3, axiom, ( ~phi(_u231) | check_cpq(skolem4(_u231)) )).
% 21.68/21.91 cnf(ax62-4, axiom, ( ~succ_cpq(_u232, _u229) | ~ok(_u229) | ~check_cpq(_u229) | phi(_u232) )).
% 21.68/21.91
% 21.68/21.91 % Formula: l17_li56 ( lemma ) converted to clauses:
% 21.68/21.91 cnf(l17_li56-1, lemma, ( ~contains_cpq(triple(_u243, _u241, _u239), _u237) | contains_pq(i(triple(_u243, _u241, _u239)), _u237) )).
% 21.68/21.91 cnf(l17_li56-2, lemma, ( ~contains_pq(i(triple(_u244, _u242, _u240)), _u238) | contains_cpq(triple(_u244, _u242, _u240), _u238) )).
% 21.68/21.91
% 21.68/21.91 % Formula: l17_l18 ( lemma ) converted to clauses:
% 21.68/21.91 cnf(l17_l18-1, lemma, ( ~contains_cpq(triple(_u248, _u247, _u246), _u245) | ~strictly_less_than(_u245, findmin_cpq_res(triple(_u248, _u247, _u246))) | ~phi(findmin_cpq_eff(triple(_u248, _u247, _u246))) )).
% 21.68/21.91
% 21.68/21.91 % Formula: l17_co ( conjecture ) converted to clauses:
% 21.68/21.91 cnf(l17_co-1, negated_conjecture, ( phi(findmin_cpq_eff(triple(skolem5, skolem6, skolem7))) )).
% 21.68/21.91 cnf(l17_co-2, negated_conjecture, ( ~issmallestelement_pq(i(triple(skolem5, skolem6, skolem7)), findmin_cpq_res(triple(skolem5, skolem6, skolem7))) )).
% 21.68/21.91
% 21.68/21.91 % Problem matrix:
% 21.68/21.91 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 21.68/21.91 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 21.68/21.91 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 21.68/21.91 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_pq(__eqx_0, __eqx_1) = insert_pq(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( remove_pq(__eqx_0, __eqx_1) = remove_pq(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( findmin_pq_eff(__eqx_0, __eqx_1) = findmin_pq_eff(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( findmin_pq_res(__eqx_0, __eqx_1) = findmin_pq_res(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( removemin_pq_eff(__eqx_0, __eqx_1) = removemin_pq_eff(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( removemin_pq_res(__eqx_0, __eqx_1) = removemin_pq_res(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( pair(__eqx_0, __eqx_1) = pair(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_slb(__eqx_0, __eqx_1) = insert_slb(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( remove_slb(__eqx_0, __eqx_1) = remove_slb(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( lookup_slb(__eqx_0, __eqx_1) = lookup_slb(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( update_slb(__eqx_0, __eqx_1) = update_slb(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_cpq(__eqx_0, __eqx_1) = insert_cpq(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( remove_cpq(__eqx_0, __eqx_1) = remove_cpq(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( findmin_cpq_eff(__eqx_0) = findmin_cpq_eff(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( removemin_cpq_eff(__eqx_0) = removemin_cpq_eff(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( triple(__eqx_0, __eqx_1, __eqx_2) = triple(__eqy_0, __eqy_1, __eqy_2)) )).
% 21.68/21.91 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_pqp(__eqx_0, __eqx_1) = insert_pqp(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( remove_pqp(__eqx_0, __eqx_1) = remove_pqp(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( findmin_pqp_res(__eqx_0) = findmin_pqp_res(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( findmin_cpq_res(__eqx_0) = findmin_cpq_res(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( removemin_cpq_res(__eqx_0) = removemin_cpq_res(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( i(__eqx_0) = i(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 21.68/21.91 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 21.68/21.91 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less_than(__eqx_0, __eqx_1) | less_than(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~strictly_less_than(__eqx_0, __eqx_1) | strictly_less_than(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ~isnonempty_pq(__eqx_0) | isnonempty_pq(__eqy_0) )).
% 21.68/21.91 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~contains_pq(__eqx_0, __eqx_1) | contains_pq(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~issmallestelement_pq(__eqx_0, __eqx_1) | issmallestelement_pq(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~isnonempty_slb(__eqx_0) | isnonempty_slb(__eqy_0) )).
% 21.68/21.91 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~contains_slb(__eqx_0, __eqx_1) | contains_slb(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~pair_in_list(__eqx_0, __eqx_1, __eqx_2) | pair_in_list(__eqy_0, __eqy_1, __eqy_2) )).
% 21.68/21.91 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~succ_cpq(__eqx_0, __eqx_1) | succ_cpq(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~check_cpq(__eqx_0) | check_cpq(__eqy_0) )).
% 21.68/21.91 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~contains_cpq(__eqx_0, __eqx_1) | contains_cpq(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~ok(__eqx_0) | ok(__eqy_0) )).
% 21.68/21.91 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~pi_sharp_remove(__eqx_0, __eqx_1) | pi_sharp_remove(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~pi_remove(__eqx_0, __eqx_1) | pi_remove(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~pi_sharp_find_min(__eqx_0, __eqx_1) | pi_sharp_find_min(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~pi_find_min(__eqx_0) | pi_find_min(__eqy_0) )).
% 21.68/21.91 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~pi_sharp_removemin(__eqx_0, __eqx_1) | pi_sharp_removemin(__eqy_0, __eqy_1) )).
% 21.68/21.91 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~pi_removemin(__eqx_0) | pi_removemin(__eqy_0) )).
% 21.68/21.91 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ~phi(__eqx_0) | phi(__eqy_0) )).
% 21.68/21.91 cnf(matrix-48, plain, ( ~less_than(_u2, _u1) | ~less_than(_u1, _u0) | less_than(_u2, _u0) )).
% 21.68/21.91 cnf(matrix-49, plain, ( less_than(_u4, _u3) | less_than(_u3, _u4) )).
% 21.68/21.91 cnf(matrix-50, plain, ( less_than(_u5, _u5) )).
% 21.68/21.91 cnf(matrix-51, plain, ( ~strictly_less_than(_u10, _u8) | less_than(_u10, _u8) )).
% 21.68/21.91 cnf(matrix-52, plain, ( ~strictly_less_than(_u10, _u8) | ~less_than(_u8, _u10) )).
% 21.68/21.91 cnf(matrix-53, plain, ( ~less_than(_u11, _u9) | less_than(_u9, _u11) | strictly_less_than(_u11, _u9) )).
% 21.68/21.91 cnf(matrix-54, plain, ( less_than(bottom, _u12) )).
% 21.68/21.91 cnf(matrix-55, plain, ( ~isnonempty_pq(create_pq) )).
% 21.68/21.91 cnf(matrix-56, plain, ( isnonempty_pq(insert_pq(_u14, _u13)) )).
% 21.68/21.91 cnf(matrix-57, plain, ( ~contains_pq(create_pq, _u15) )).
% 21.68/21.91 cnf(matrix-58, plain, ( ~contains_pq(insert_pq(_u23, _u21), _u19) | contains_pq(_u23, _u19) | ( _u21 = _u19) )).
% 21.68/21.91 cnf(matrix-59, plain, ( contains_pq(insert_pq(_u24, _u22), _u20) | ~contains_pq(_u24, _u20) )).
% 21.68/21.91 cnf(matrix-60, plain, ( contains_pq(insert_pq(_u24, _u22), _u20) | ( _u22 != _u20) )).
% 21.68/21.91 cnf(matrix-61, plain, ( ~issmallestelement_pq(_u31, _u29) | ~contains_pq(_u31, _u25) | less_than(_u29, _u25) )).
% 21.68/21.91 cnf(matrix-62, plain, ( issmallestelement_pq(_u32, _u30) | contains_pq(_u32, skolem1(_u32, _u30)) )).
% 21.68/21.91 cnf(matrix-63, plain, ( issmallestelement_pq(_u32, _u30) | ~less_than(_u30, skolem1(_u32, _u30)) )).
% 21.68/21.91 cnf(matrix-64, plain, ( ( remove_pq(insert_pq(_u34, _u33), _u33) = _u34) )).
% 21.68/21.91 cnf(matrix-65, plain, ( ~contains_pq(_u37, _u35) | ( _u36 = _u35) | ( remove_pq(insert_pq(_u37, _u36), _u35) = insert_pq(remove_pq(_u37, _u35), _u36)) )).
% 21.68/21.91 cnf(matrix-66, plain, ( ~contains_pq(_u39, _u38) | ~issmallestelement_pq(_u39, _u38) | ( findmin_pq_eff(_u39, _u38) = _u39) )).
% 21.68/21.91 cnf(matrix-67, plain, ( ~contains_pq(_u41, _u40) | ~issmallestelement_pq(_u41, _u40) | ( findmin_pq_res(_u41, _u40) = _u40) )).
% 21.68/21.91 cnf(matrix-68, plain, ( ~contains_pq(_u43, _u42) | ~issmallestelement_pq(_u43, _u42) | ( removemin_pq_eff(_u43, _u42) = remove_pq(_u43, _u42)) )).
% 21.68/21.91 cnf(matrix-69, plain, ( ~contains_pq(_u45, _u44) | ~issmallestelement_pq(_u45, _u44) | ( removemin_pq_res(_u45, _u44) = _u44) )).
% 21.68/21.91 cnf(matrix-70, plain, ( ( insert_pq(insert_pq(_u48, _u47), _u46) = insert_pq(insert_pq(_u48, _u46), _u47)) )).
% 21.68/21.91 cnf(matrix-71, plain, ( ~isnonempty_slb(create_slb) )).
% 21.68/21.91 cnf(matrix-72, plain, ( isnonempty_slb(insert_slb(_u51, pair(_u50, _u49))) )).
% 21.68/21.91 cnf(matrix-73, plain, ( ~contains_slb(create_slb, _u52) )).
% 21.68/21.91 cnf(matrix-74, plain, ( contains_slb(_u63, _u59) | ( _u61 = _u59) | ~contains_slb(insert_slb(_u63, pair(_u61, _u57)), _u59) )).
% 21.68/21.91 cnf(matrix-75, plain, ( contains_slb(insert_slb(_u64, pair(_u62, _u58)), _u60) | ~contains_slb(_u64, _u60) )).
% 21.68/21.91 cnf(matrix-76, plain, ( contains_slb(insert_slb(_u64, pair(_u62, _u58)), _u60) | ( _u62 != _u60) )).
% 21.68/21.91 cnf(matrix-77, plain, ( ~pair_in_list(create_slb, _u66, _u65) )).
% 21.68/21.91 cnf(matrix-78, plain, ( ~pair_in_list(insert_slb(_u80, pair(_u78, _u74)), _u76, _u72) | pair_in_list(_u80, _u76, _u72) | ( _u78 = _u76) )).
% 21.68/21.91 cnf(matrix-79, plain, ( ~pair_in_list(insert_slb(_u80, pair(_u78, _u74)), _u76, _u72) | pair_in_list(_u80, _u76, _u72) | ( _u74 = _u72) )).
% 21.68/21.91 cnf(matrix-80, plain, ( pair_in_list(insert_slb(_u81, pair(_u79, _u75)), _u77, _u73) | ~pair_in_list(_u81, _u77, _u73) )).
% 21.68/21.91 cnf(matrix-81, plain, ( pair_in_list(insert_slb(_u81, pair(_u79, _u75)), _u77, _u73) | ( _u79 != _u77) | ( _u75 != _u73) )).
% 21.68/21.91 cnf(matrix-82, plain, ( ( remove_slb(insert_slb(_u84, pair(_u83, _u82)), _u83) = _u84) )).
% 21.68/21.91 cnf(matrix-83, plain, ( ( _u87 = _u86) | ~contains_slb(_u88, _u86) | ( remove_slb(insert_slb(_u88, pair(_u87, _u85)), _u86) = insert_slb(remove_slb(_u88, _u86), pair(_u87, _u85))) )).
% 21.68/21.91 cnf(matrix-84, plain, ( ( lookup_slb(insert_slb(_u91, pair(_u90, _u89)), _u90) = _u89) )).
% 21.68/21.91 cnf(matrix-85, plain, ( ( _u94 = _u93) | ~contains_slb(_u95, _u93) | ( lookup_slb(insert_slb(_u95, pair(_u94, _u92)), _u93) = lookup_slb(_u95, _u93)) )).
% 21.68/21.91 cnf(matrix-86, plain, ( ( update_slb(create_slb, _u96) = create_slb) )).
% 21.68/21.91 cnf(matrix-87, plain, ( ~strictly_less_than(_u97, _u98) | ( update_slb(insert_slb(_u100, pair(_u99, _u97)), _u98) = insert_slb(update_slb(_u100, _u98), pair(_u99, _u98))) )).
% 21.68/21.91 cnf(matrix-88, plain, ( ~less_than(_u102, _u101) | ( update_slb(insert_slb(_u104, pair(_u103, _u101)), _u102) = insert_slb(update_slb(_u104, _u102), pair(_u103, _u101))) )).
% 21.68/21.91 cnf(matrix-89, plain, ( succ_cpq(_u105, _u105) )).
% 21.68/21.91 cnf(matrix-90, plain, ( ~succ_cpq(_u108, _u107) | succ_cpq(_u108, insert_cpq(_u107, _u106)) )).
% 21.68/21.91 cnf(matrix-91, plain, ( ~succ_cpq(_u111, _u110) | succ_cpq(_u111, remove_cpq(_u110, _u109)) )).
% 21.68/21.91 cnf(matrix-92, plain, ( ~succ_cpq(_u113, _u112) | succ_cpq(_u113, findmin_cpq_eff(_u112)) )).
% 21.68/21.91 cnf(matrix-93, plain, ( ~succ_cpq(_u115, _u114) | succ_cpq(_u115, removemin_cpq_eff(_u114)) )).
% 21.68/21.91 cnf(matrix-94, plain, ( check_cpq(triple(_u117, create_slb, _u116)) )).
% 21.68/21.91 cnf(matrix-95, plain, ( ~less_than(_u118, _u119) | ~check_cpq(triple(_u122, insert_slb(_u121, pair(_u119, _u118)), _u120)) | check_cpq(triple(_u122, _u121, _u120)) )).
% 21.68/21.91 cnf(matrix-96, plain, ( ~less_than(_u118, _u119) | ~check_cpq(triple(_u122, _u121, _u120)) | check_cpq(triple(_u122, insert_slb(_u121, pair(_u119, _u118)), _u120)) )).
% 21.68/21.91 cnf(matrix-97, plain, ( ~strictly_less_than(_u124, _u123) | ~check_cpq(triple(_u127, insert_slb(_u126, pair(_u124, _u123)), _u125)) )).
% 21.68/21.91 cnf(matrix-98, plain, ( ~contains_cpq(triple(_u138, _u136, _u134), _u132) | contains_slb(_u136, _u132) )).
% 21.68/21.91 cnf(matrix-99, plain, ( ~contains_slb(_u137, _u133) | contains_cpq(triple(_u139, _u137, _u135), _u133) )).
% 21.68/21.91 cnf(matrix-100, plain, ( ~ok(triple(_u144, _u142, bad)) )).
% 21.68/21.91 cnf(matrix-101, plain, ( ok(triple(_u148, _u147, _u146)) | ( _u146 = bad) )).
% 21.68/21.91 cnf(matrix-102, plain, ( ( insert_cpq(triple(_u152, _u151, _u150), _u149) = triple(insert_pqp(_u152, _u149), insert_slb(_u151, pair(_u149, bottom)), _u150)) )).
% 21.68/21.91 cnf(matrix-103, plain, ( contains_slb(_u155, _u153) | ( remove_cpq(triple(_u156, _u155, _u154), _u153) = triple(_u156, _u155, bad)) )).
% 21.68/21.91 cnf(matrix-104, plain, ( ~contains_slb(_u159, _u157) | ~less_than(lookup_slb(_u159, _u157), _u157) | ( remove_cpq(triple(_u160, _u159, _u158), _u157) = triple(remove_pqp(_u160, _u157), remove_slb(_u159, _u157), _u158)) )).
% 21.68/21.91 cnf(matrix-105, plain, ( ~contains_slb(_u163, _u161) | ~strictly_less_than(_u161, lookup_slb(_u163, _u161)) | ( remove_cpq(triple(_u164, _u163, _u162), _u161) = triple(remove_pqp(_u164, _u161), remove_slb(_u163, _u161), bad)) )).
% 21.68/21.91 cnf(matrix-106, plain, ( ( findmin_cpq_eff(triple(_u166, create_slb, _u165)) = triple(_u166, create_slb, bad)) )).
% 21.68/21.91 cnf(matrix-107, plain, ( ( _u169 = create_slb) | contains_slb(_u169, findmin_pqp_res(_u170)) | ( findmin_cpq_eff(triple(_u170, _u169, _u168)) = triple(_u170, update_slb(_u169, findmin_pqp_res(_u170)), bad)) )).
% 21.68/21.91 cnf(matrix-108, plain, ( ( _u173 = create_slb) | ~contains_slb(_u173, findmin_pqp_res(_u174)) | ~strictly_less_than(findmin_pqp_res(_u174), lookup_slb(_u173, findmin_pqp_res(_u174))) | ( findmin_cpq_eff(triple(_u174, _u173, _u172)) = triple(_u174, update_slb(_u173, findmin_pqp_res(_u174)), bad)) )).
% 21.68/21.91 cnf(matrix-109, plain, ( ( _u177 = create_slb) | ~contains_slb(_u177, findmin_pqp_res(_u178)) | ~less_than(lookup_slb(_u177, findmin_pqp_res(_u178)), findmin_pqp_res(_u178)) | ( findmin_cpq_eff(triple(_u178, _u177, _u176)) = triple(_u178, update_slb(_u177, findmin_pqp_res(_u178)), _u176)) )).
% 21.68/21.91 cnf(matrix-110, plain, ( ( findmin_cpq_res(triple(_u180, create_slb, _u179)) = bottom) )).
% 21.68/21.91 cnf(matrix-111, plain, ( ( _u183 = create_slb) | ( findmin_cpq_res(triple(_u184, _u183, _u182)) = findmin_pqp_res(_u184)) )).
% 21.68/21.91 cnf(matrix-112, plain, ( ( removemin_cpq_eff(_u185) = remove_cpq(findmin_cpq_eff(_u185), findmin_cpq_res(_u185))) )).
% 21.68/21.91 cnf(matrix-113, plain, ( ( removemin_cpq_res(_u186) = findmin_cpq_res(_u186)) )).
% 21.68/21.91 cnf(matrix-114, plain, ( ( i(triple(_u188, create_slb, _u187)) = create_pq) )).
% 21.68/21.91 cnf(matrix-115, plain, ( ( i(triple(_u193, insert_slb(_u192, pair(_u190, _u189)), _u191)) = insert_pq(i(triple(_u193, _u192, _u191)), _u190)) )).
% 21.68/21.91 cnf(matrix-116, plain, ( ~pi_sharp_remove(_u198, _u196) | contains_pq(_u198, _u196) )).
% 21.68/21.91 cnf(matrix-117, plain, ( ~contains_pq(_u199, _u197) | pi_sharp_remove(_u199, _u197) )).
% 21.68/21.91 cnf(matrix-118, plain, ( ~pi_remove(_u204, _u202) | pi_sharp_remove(i(_u204), _u202) )).
% 21.68/21.91 cnf(matrix-119, plain, ( ~pi_sharp_remove(i(_u205), _u203) | pi_remove(_u205, _u203) )).
% 21.68/21.91 cnf(matrix-120, plain, ( ~pi_sharp_find_min(_u210, _u208) | contains_pq(_u210, _u208) )).
% 21.68/21.91 cnf(matrix-121, plain, ( ~pi_sharp_find_min(_u210, _u208) | issmallestelement_pq(_u210, _u208) )).
% 21.68/21.91 cnf(matrix-122, plain, ( ~contains_pq(_u211, _u209) | ~issmallestelement_pq(_u211, _u209) | pi_sharp_find_min(_u211, _u209) )).
% 21.68/21.91 cnf(matrix-123, plain, ( ~pi_find_min(_u215) | pi_sharp_find_min(i(_u215), skolem2(_u215)) )).
% 21.68/21.91 cnf(matrix-124, plain, ( ~pi_sharp_find_min(i(_u216), _u213) | pi_find_min(_u216) )).
% 21.68/21.91 cnf(matrix-125, plain, ( ~pi_sharp_removemin(_u221, _u219) | contains_pq(_u221, _u219) )).
% 21.68/21.91 cnf(matrix-126, plain, ( ~pi_sharp_removemin(_u221, _u219) | issmallestelement_pq(_u221, _u219) )).
% 21.68/21.91 cnf(matrix-127, plain, ( ~contains_pq(_u222, _u220) | ~issmallestelement_pq(_u222, _u220) | pi_sharp_removemin(_u222, _u220) )).
% 21.68/21.91 cnf(matrix-128, plain, ( ~pi_removemin(_u226) | pi_sharp_find_min(i(_u226), skolem3(_u226)) )).
% 21.68/21.91 cnf(matrix-129, plain, ( ~pi_sharp_find_min(i(_u227), _u224) | pi_removemin(_u227) )).
% 21.68/21.91 cnf(matrix-130, plain, ( ~phi(_u231) | succ_cpq(_u231, skolem4(_u231)) )).
% 21.68/21.91 cnf(matrix-131, plain, ( ~phi(_u231) | ok(skolem4(_u231)) )).
% 21.68/21.91 cnf(matrix-132, plain, ( ~phi(_u231) | check_cpq(skolem4(_u231)) )).
% 21.68/21.91 cnf(matrix-133, plain, ( ~succ_cpq(_u232, _u229) | ~ok(_u229) | ~check_cpq(_u229) | phi(_u232) )).
% 21.68/21.91 cnf(matrix-134, plain, ( ~contains_cpq(triple(_u243, _u241, _u239), _u237) | contains_pq(i(triple(_u243, _u241, _u239)), _u237) )).
% 21.68/21.91 cnf(matrix-135, plain, ( ~contains_pq(i(triple(_u244, _u242, _u240)), _u238) | contains_cpq(triple(_u244, _u242, _u240), _u238) )).
% 21.68/21.91 cnf(matrix-136, plain, ( ~contains_cpq(triple(_u248, _u247, _u246), _u245) | ~strictly_less_than(_u245, findmin_cpq_res(triple(_u248, _u247, _u246))) | ~phi(findmin_cpq_eff(triple(_u248, _u247, _u246))) )).
% 21.68/21.91 cnf(matrix-137, plain, ( phi(findmin_cpq_eff(triple(skolem5, skolem6, skolem7))) )).
% 21.68/21.91 cnf(matrix-138, plain, ( ~issmallestelement_pq(i(triple(skolem5, skolem6, skolem7)), findmin_cpq_res(triple(skolem5, skolem6, skolem7))) )).
% 21.68/21.91
% 21.68/21.91 % Proof stack:
% 21.68/21.91 cnf(proof-stack, plain,
% 21.68/21.91 proof_stack(
% 21.68/21.91 start(137),
% 21.68/21.91 left_branch(0, 136, 2, 2),
% 21.68/21.91 left_branch(0, 135, 1, 3),
% 21.68/21.91 left_branch(0, 62, 1, 4),
% 21.68/21.91 left_branch(0, 138, 0, 5),
% 21.68/21.91 right_branch(5),
% 21.68/21.91 right_branch(4),
% 21.68/21.91 right_branch(3),
% 21.68/21.91 left_branch(0, 53, 2, 4),
% 21.68/21.91 left_branch(0, 49, 1, 5),
% 21.68/21.91 left_branch(0, 63, 1, 6),
% 21.68/21.91 left_branch(0, 138, 0, 7),
% 21.68/21.91 right_branch(7),
% 21.68/21.91 right_branch(6),
% 21.68/21.91 right_branch(5),
% 21.68/21.91 left_branch(0, 63, 1, 6),
% 21.68/21.91 left_branch(0, 138, 0, 7),
% 21.68/21.91 right_branch(7),
% 21.68/21.91 right_branch(6),
% 21.68/21.91 right_branch(4),
% 21.68/21.91 right_branch(2)
% 21.68/21.91 )).
% 21.68/21.91 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------