TSTP Solution File: KRS200+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:18:19 EDT 2024
% Result : Theorem 12.18s 12.35s
% Output : Proof 12.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n007.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 : Thu Mar 21 02:22:14 EDT 2024
% 0.12/0.34 % CPUTime :
% 12.18/12.35 % SZS status Theorem for theBenchmark
% 12.18/12.35 % SZS output start Proof for theBenchmark
% 12.18/12.35
% 12.18/12.35 % Formula: unp ( axiom ) converted to clauses:
% 12.18/12.35 cnf(unp-1, axiom, ( status(_u8, _u6, unp) | ~model(_u0, _u8) )).
% 12.18/12.35 cnf(unp-2, axiom, ( status(_u8, _u6, unp) | model(skolem1(_u8, _u6), _u6) )).
% 12.18/12.35 cnf(unp-3, axiom, ( ~status(_u9, _u7, unp) | model(skolem2(_u9, _u7), _u9) | ~model(_u3, _u7) )).
% 12.18/12.35
% 12.18/12.35 % Formula: sap ( axiom ) converted to clauses:
% 12.18/12.35 cnf(sap-1, axiom, ( status(_u18, _u16, sap) | model(skolem3(_u18, _u16), _u18) )).
% 12.18/12.35 cnf(sap-2, axiom, ( status(_u18, _u16, sap) | ~model(_u11, _u16) )).
% 12.18/12.35 cnf(sap-3, axiom, ( ~status(_u19, _u17, sap) | ~model(_u12, _u19) | model(skolem4(_u19, _u17), _u17) )).
% 12.18/12.35
% 12.18/12.35 % Formula: esa ( axiom ) converted to clauses:
% 12.18/12.35 cnf(esa-1, axiom, ( status(_u32, _u30, esa) | model(skolem5(_u32, _u30), _u32) | model(skolem6(_u32, _u30), _u30) )).
% 12.18/12.35 cnf(esa-2, axiom, ( status(_u32, _u30, esa) | model(skolem5(_u32, _u30), _u32) | ~model(_u23, _u32) )).
% 12.18/12.35 cnf(esa-3, axiom, ( status(_u32, _u30, esa) | ~model(_u21, _u30) | model(skolem6(_u32, _u30), _u30) )).
% 12.18/12.35 cnf(esa-4, axiom, ( status(_u32, _u30, esa) | ~model(_u21, _u30) | ~model(_u23, _u32) )).
% 12.18/12.35 cnf(esa-5, axiom, ( ~status(_u33, _u31, esa) | ~model(_u24, _u33) | model(skolem7(_u33, _u31), _u31) )).
% 12.18/12.35 cnf(esa-6, axiom, ( ~status(_u33, _u31, esa) | ~model(_u26, _u31) | model(skolem8(_u33, _u31), _u33) )).
% 12.18/12.35
% 12.18/12.35 % Formula: sat ( axiom ) converted to clauses:
% 12.18/12.35 cnf(sat-1, axiom, ( ~model(_u34, _u40) | ~model(_u34, _u38) | status(_u40, _u38, sat) )).
% 12.18/12.35 cnf(sat-2, axiom, ( ~status(_u41, _u39, sat) | model(skolem9(_u41, _u39), _u41) )).
% 12.18/12.35 cnf(sat-3, axiom, ( ~status(_u41, _u39, sat) | model(skolem9(_u41, _u39), _u39) )).
% 12.18/12.35
% 12.18/12.35 % Formula: thm ( axiom ) converted to clauses:
% 12.18/12.35 cnf(thm-1, axiom, ( status(_u48, _u46, thm) | model(skolem10(_u48, _u46), _u48) )).
% 12.18/12.35 cnf(thm-2, axiom, ( status(_u48, _u46, thm) | ~model(skolem10(_u48, _u46), _u46) )).
% 12.18/12.35 cnf(thm-3, axiom, ( ~status(_u49, _u47, thm) | ~model(_u43, _u49) | model(_u43, _u47) )).
% 12.18/12.35
% 12.18/12.35 % Formula: eqv ( axiom ) converted to clauses:
% 12.18/12.35 cnf(eqv-1, axiom, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | model(skolem11(_u62, _u60), _u62) | model(skolem12(_u62, _u60), _u60) )).
% 12.18/12.35 cnf(eqv-2, axiom, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | model(skolem11(_u62, _u60), _u62) | ~model(skolem12(_u62, _u60), _u62) )).
% 12.18/12.35 cnf(eqv-3, axiom, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | ~model(skolem11(_u62, _u60), _u60) | model(skolem12(_u62, _u60), _u60) )).
% 12.18/12.35 cnf(eqv-4, axiom, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | ~model(skolem11(_u62, _u60), _u60) | ~model(skolem12(_u62, _u60), _u62) )).
% 12.18/12.35 cnf(eqv-5, axiom, ( ~status(_u63, _u61, eqv) | model(skolem13(_u63, _u61), _u63) )).
% 12.18/12.35 cnf(eqv-6, axiom, ( ~status(_u63, _u61, eqv) | ~model(_u58, _u63) | model(_u58, _u61) )).
% 12.18/12.35 cnf(eqv-7, axiom, ( ~status(_u63, _u61, eqv) | ~model(_u59, _u61) | model(_u59, _u63) )).
% 12.18/12.35
% 12.18/12.35 % Formula: tac ( axiom ) converted to clauses:
% 12.18/12.35 cnf(tac-1, axiom, ( ~model(_u64, _u72) | ~model(skolem14(_u72, _u70), _u70) | status(_u72, _u70, tac) )).
% 12.18/12.35 cnf(tac-2, axiom, ( ~status(_u73, _u71, tac) | model(skolem15(_u73, _u71), _u73) )).
% 12.18/12.35 cnf(tac-3, axiom, ( ~status(_u73, _u71, tac) | model(_u67, _u71) )).
% 12.18/12.35
% 12.18/12.35 % Formula: wec ( axiom ) converted to clauses:
% 12.18/12.35 cnf(wec-1, axiom, ( status(_u84, _u82, wec) | ~model(_u74, _u84) | ~model(_u76, _u82) | model(_u76, _u84) | model(skolem16(_u84, _u82), _u84) )).
% 12.18/12.35 cnf(wec-2, axiom, ( status(_u84, _u82, wec) | ~model(_u74, _u84) | ~model(_u76, _u82) | model(_u76, _u84) | ~model(skolem16(_u84, _u82), _u82) )).
% 12.18/12.35 cnf(wec-3, axiom, ( ~status(_u85, _u83, wec) | model(skolem17(_u85, _u83), _u85) )).
% 12.18/12.35 cnf(wec-4, axiom, ( ~status(_u85, _u83, wec) | ~model(_u78, _u85) | model(_u78, _u83) )).
% 12.18/12.35 cnf(wec-5, axiom, ( ~status(_u85, _u83, wec) | model(skolem18(_u85, _u83), _u83) )).
% 12.18/12.35 cnf(wec-6, axiom, ( ~status(_u85, _u83, wec) | ~model(skolem18(_u85, _u83), _u85) )).
% 12.18/12.35
% 12.18/12.35 % Formula: eth ( axiom ) converted to clauses:
% 12.18/12.35 cnf(eth-1, axiom, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | model(skolem19(_u100, _u98), _u100) | model(skolem20(_u100, _u98), _u98) )).
% 12.18/12.35 cnf(eth-2, axiom, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | model(skolem19(_u100, _u98), _u100) | ~model(skolem20(_u100, _u98), _u100) )).
% 12.18/12.35 cnf(eth-3, axiom, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | ~model(skolem19(_u100, _u98), _u98) | model(skolem20(_u100, _u98), _u98) )).
% 12.18/12.35 cnf(eth-4, axiom, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | ~model(skolem19(_u100, _u98), _u98) | ~model(skolem20(_u100, _u98), _u100) )).
% 12.18/12.35 cnf(eth-5, axiom, ( ~status(_u101, _u99, eth) | model(skolem21(_u101, _u99), _u101) )).
% 12.18/12.35 cnf(eth-6, axiom, ( ~status(_u101, _u99, eth) | ~model(skolem22(_u101, _u99), _u101) )).
% 12.18/12.35 cnf(eth-7, axiom, ( ~status(_u101, _u99, eth) | ~model(_u96, _u101) | model(_u96, _u99) )).
% 12.18/12.35 cnf(eth-8, axiom, ( ~status(_u101, _u99, eth) | ~model(_u97, _u99) | model(_u97, _u101) )).
% 12.18/12.35
% 12.18/12.35 % Formula: tau ( axiom ) converted to clauses:
% 12.18/12.35 cnf(tau-1, axiom, ( ~model(skolem23(_u112, _u110), _u112) | ~model(skolem24(_u112, _u110), _u110) | status(_u112, _u110, tau) )).
% 12.18/12.35 cnf(tau-2, axiom, ( ~status(_u113, _u111, tau) | model(_u108, _u113) )).
% 12.18/12.35 cnf(tau-3, axiom, ( ~status(_u113, _u111, tau) | model(_u109, _u111) )).
% 12.18/12.35
% 12.18/12.35 % Formula: wtc ( axiom ) converted to clauses:
% 12.18/12.35 cnf(wtc-1, axiom, ( ~model(_u114, _u124) | model(_u115, _u124) | ~model(skolem25(_u124, _u122), _u122) | status(_u124, _u122, wtc) )).
% 12.18/12.35 cnf(wtc-2, axiom, ( ~status(_u125, _u123, wtc) | model(skolem26(_u125, _u123), _u125) )).
% 12.18/12.35 cnf(wtc-3, axiom, ( ~status(_u125, _u123, wtc) | ~model(skolem27(_u125, _u123), _u125) )).
% 12.18/12.35 cnf(wtc-4, axiom, ( ~status(_u125, _u123, wtc) | model(_u119, _u123) )).
% 12.18/12.35
% 12.18/12.35 % Formula: wth ( axiom ) converted to clauses:
% 12.18/12.35 cnf(wth-1, axiom, ( status(_u138, _u136, wth) | ~model(_u126, _u138) | model(_u129, _u136) | ~model(_u128, _u136) | model(_u128, _u138) | model(skolem28(_u138, _u136), _u138) )).
% 12.18/12.35 cnf(wth-2, axiom, ( status(_u138, _u136, wth) | ~model(_u126, _u138) | model(_u129, _u136) | ~model(_u128, _u136) | model(_u128, _u138) | ~model(skolem28(_u138, _u136), _u136) )).
% 12.18/12.35 cnf(wth-3, axiom, ( ~status(_u139, _u137, wth) | model(skolem29(_u139, _u137), _u139) )).
% 12.18/12.35 cnf(wth-4, axiom, ( ~status(_u139, _u137, wth) | ~model(_u131, _u139) | model(_u131, _u137) )).
% 12.18/12.35 cnf(wth-5, axiom, ( ~status(_u139, _u137, wth) | model(skolem30(_u139, _u137), _u137) )).
% 12.18/12.35 cnf(wth-6, axiom, ( ~status(_u139, _u137, wth) | ~model(skolem30(_u139, _u137), _u139) )).
% 12.18/12.35 cnf(wth-7, axiom, ( ~status(_u139, _u137, wth) | ~model(skolem31(_u139, _u137), _u137) )).
% 12.18/12.35
% 12.18/12.35 % Formula: cax ( axiom ) converted to clauses:
% 12.18/12.35 cnf(cax-1, axiom, ( model(skolem32(_u146), _u146) | status(_u146, _u144, cax) )).
% 12.18/12.35 cnf(cax-2, axiom, ( ~model(_u141, _u147) | ~status(_u147, _u145, cax) )).
% 12.18/12.35
% 12.18/12.35 % Formula: sca ( axiom ) converted to clauses:
% 12.18/12.35 cnf(sca-1, axiom, ( model(skolem33(_u156, _u154), _u156) | ~model(_u149, _u154) | status(_u156, _u154, sca) )).
% 12.18/12.35 cnf(sca-2, axiom, ( ~status(_u157, _u155, sca) | ~model(_u150, _u157) )).
% 12.18/12.35 cnf(sca-3, axiom, ( ~status(_u157, _u155, sca) | model(skolem34(_u157, _u155), _u155) )).
% 12.18/12.35
% 12.18/12.35 % Formula: tca ( axiom ) converted to clauses:
% 12.18/12.35 cnf(tca-1, axiom, ( model(skolem35(_u166, _u164), _u166) | ~model(skolem36(_u166, _u164), _u164) | status(_u166, _u164, tca) )).
% 12.18/12.35 cnf(tca-2, axiom, ( ~status(_u167, _u165, tca) | ~model(_u160, _u167) )).
% 12.18/12.35 cnf(tca-3, axiom, ( ~status(_u167, _u165, tca) | model(_u161, _u165) )).
% 12.18/12.35
% 12.18/12.35 % Formula: wca ( axiom ) converted to clauses:
% 12.18/12.35 cnf(wca-1, axiom, ( model(skolem37(_u178, _u176), _u178) | ~model(_u169, _u176) | model(_u170, _u176) | status(_u178, _u176, wca) )).
% 12.18/12.35 cnf(wca-2, axiom, ( ~status(_u179, _u177, wca) | ~model(_u171, _u179) )).
% 12.18/12.35 cnf(wca-3, axiom, ( ~status(_u179, _u177, wca) | model(skolem38(_u179, _u177), _u177) )).
% 12.18/12.35 cnf(wca-4, axiom, ( ~status(_u179, _u177, wca) | ~model(skolem39(_u179, _u177), _u177) )).
% 12.18/12.35
% 12.18/12.35 % Formula: csa ( axiom ) converted to clauses:
% 12.18/12.35 cnf(csa-1, axiom, ( ~model(_u180, _u186) | ~model(_u180, not(_u184)) | status(_u186, _u184, csa) )).
% 12.18/12.35 cnf(csa-2, axiom, ( ~status(_u187, _u185, csa) | model(skolem40(_u187, _u185), _u187) )).
% 12.18/12.35 cnf(csa-3, axiom, ( ~status(_u187, _u185, csa) | model(skolem40(_u187, _u185), not(_u185)) )).
% 12.18/12.35
% 12.18/12.35 % Formula: uns ( axiom ) converted to clauses:
% 12.18/12.35 cnf(uns-1, axiom, ( ~model(skolem41(_u196, _u194), _u196) | ~model(skolem42(_u196, _u194), not(_u194)) | status(_u196, _u194, uns) )).
% 12.18/12.35 cnf(uns-2, axiom, ( ~status(_u197, _u195, uns) | model(_u190, _u197) )).
% 12.18/12.35 cnf(uns-3, axiom, ( ~status(_u197, _u195, uns) | model(_u191, not(_u195)) )).
% 12.18/12.35
% 12.18/12.35 % Formula: noc ( axiom ) converted to clauses:
% 12.18/12.35 cnf(noc-1, axiom, ( ~model(_u198, _u206) | ~model(_u198, _u204) | ~model(_u199, _u206) | ~model(_u199, not(_u204)) | status(_u206, _u204, noc) )).
% 12.18/12.35 cnf(noc-2, axiom, ( ~status(_u207, _u205, noc) | model(skolem43(_u207, _u205), _u207) )).
% 12.18/12.35 cnf(noc-3, axiom, ( ~status(_u207, _u205, noc) | model(skolem43(_u207, _u205), _u205) )).
% 12.18/12.35 cnf(noc-4, axiom, ( ~status(_u207, _u205, noc) | model(skolem44(_u207, _u205), _u207) )).
% 12.18/12.35 cnf(noc-5, axiom, ( ~status(_u207, _u205, noc) | model(skolem44(_u207, _u205), not(_u205)) )).
% 12.18/12.35
% 12.18/12.35 % Formula: mighta ( axiom ) converted to clauses:
% 12.18/12.35 cnf(mighta-1, axiom, ( ~status(_u209, _u208, _u216) | ~status(_u209, _u208, _u214) | mighta(_u216, _u214) )).
% 12.18/12.35 cnf(mighta-2, axiom, ( ~mighta(_u217, _u215) | status(skolem45(_u217, _u215), skolem46(_u217, _u215), _u217) )).
% 12.18/12.35 cnf(mighta-3, axiom, ( ~mighta(_u217, _u215) | status(skolem45(_u217, _u215), skolem46(_u217, _u215), _u215) )).
% 12.18/12.35
% 12.18/12.35 % Formula: isa ( axiom ) converted to clauses:
% 12.18/12.35 cnf(isa-1, axiom, ( isa(_u226, _u224) | status(skolem47(_u226, _u224), skolem48(_u226, _u224), _u226) )).
% 12.18/12.35 cnf(isa-2, axiom, ( isa(_u226, _u224) | ~status(skolem47(_u226, _u224), skolem48(_u226, _u224), _u224) )).
% 12.18/12.35 cnf(isa-3, axiom, ( ~isa(_u227, _u225) | ~status(_u221, _u220, _u227) | status(_u221, _u220, _u225) )).
% 12.18/12.35
% 12.18/12.35 % Formula: nota ( axiom ) converted to clauses:
% 12.18/12.35 cnf(nota-1, axiom, ( ~status(_u229, _u228, _u236) | status(_u229, _u228, _u234) | nota(_u236, _u234) )).
% 12.18/12.35 cnf(nota-2, axiom, ( ~nota(_u237, _u235) | status(skolem49(_u237, _u235), skolem50(_u237, _u235), _u237) )).
% 12.18/12.35 cnf(nota-3, axiom, ( ~nota(_u237, _u235) | ~status(skolem49(_u237, _u235), skolem50(_u237, _u235), _u235) )).
% 12.18/12.35
% 12.18/12.35 % Formula: nevera ( axiom ) converted to clauses:
% 12.18/12.35 cnf(nevera-1, axiom, ( nevera(_u246, _u244) | status(skolem51(_u246, _u244), skolem52(_u246, _u244), _u246) )).
% 12.18/12.35 cnf(nevera-2, axiom, ( nevera(_u246, _u244) | status(skolem51(_u246, _u244), skolem52(_u246, _u244), _u244) )).
% 12.18/12.35 cnf(nevera-3, axiom, ( ~nevera(_u247, _u245) | ~status(_u241, _u240, _u247) | ~status(_u241, _u240, _u245) )).
% 12.18/12.35
% 12.18/12.35 % Formula: xora ( axiom ) converted to clauses:
% 12.18/12.35 cnf(xora-1, axiom, ( xora(_u256, _u254) | ~status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u256) | status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u254) )).
% 12.18/12.35 cnf(xora-2, axiom, ( xora(_u256, _u254) | status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u256) | ~status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u254) )).
% 12.18/12.35 cnf(xora-3, axiom, ( ~xora(_u257, _u255) | status(_u251, _u250, _u257) | status(_u251, _u250, _u255) )).
% 12.18/12.35 cnf(xora-4, axiom, ( ~xora(_u257, _u255) | ~status(_u251, _u250, _u255) | ~status(_u251, _u250, _u257) )).
% 12.18/12.35
% 12.18/12.35 % Formula: completeness ( axiom ) converted to clauses:
% 12.18/12.35 cnf(completeness-1, axiom, ( model(_u259, _u258) | model(_u259, not(_u258)) )).
% 12.18/12.35 cnf(completeness-2, axiom, ( ~model(_u259, not(_u258)) | ~model(_u259, _u258) )).
% 12.18/12.35
% 12.18/12.35 % Formula: not ( axiom ) converted to clauses:
% 12.18/12.35 cnf(not-1, axiom, ( ~model(_u264, _u262) | ~model(_u264, not(_u262)) )).
% 12.18/12.35 cnf(not-2, axiom, ( model(_u265, not(_u263)) | model(_u265, _u263) )).
% 12.18/12.35
% 12.18/12.35 % Formula: tautology ( axiom ) converted to clauses:
% 12.18/12.35 cnf(tautology-1, axiom, ( model(_u266, skolem55) )).
% 12.18/12.35
% 12.18/12.35 % Formula: satisfiable ( axiom ) converted to clauses:
% 12.18/12.35 cnf(satisfiable-1, axiom, ( model(skolem57, skolem56) )).
% 12.18/12.35 cnf(satisfiable-2, axiom, ( ~model(skolem58, skolem56) )).
% 12.18/12.35
% 12.18/12.35 % Formula: contradiction ( axiom ) converted to clauses:
% 12.18/12.35 cnf(contradiction-1, axiom, ( ~model(_u271, skolem59) )).
% 12.18/12.35
% 12.18/12.35 % Formula: sat_non_taut_pair ( axiom ) converted to clauses:
% 12.18/12.35 cnf(sat_non_taut_pair-1, axiom, ( model(skolem62, skolem60) )).
% 12.18/12.35 cnf(sat_non_taut_pair-2, axiom, ( model(skolem62, skolem61) )).
% 12.18/12.35 cnf(sat_non_taut_pair-3, axiom, ( ~model(skolem63, skolem60) | ~model(skolem64, skolem61) )).
% 12.18/12.35
% 12.18/12.35 % Formula: mixed_pair ( axiom ) converted to clauses:
% 12.18/12.35 cnf(mixed_pair-1, axiom, ( model(skolem66, skolem65) )).
% 12.18/12.35 cnf(mixed_pair-2, axiom, ( ~model(_u280, skolem65) | model(_u280, skolem67) )).
% 12.18/12.35 cnf(mixed_pair-3, axiom, ( ~model(skolem68, skolem65) )).
% 12.18/12.35 cnf(mixed_pair-4, axiom, ( model(skolem68, skolem67) )).
% 12.18/12.35 cnf(mixed_pair-5, axiom, ( ~model(skolem69, skolem67) )).
% 12.18/12.35
% 12.18/12.35 % Formula: non_thm_spt ( axiom ) converted to clauses:
% 12.18/12.35 cnf(non_thm_spt-1, axiom, ( ~model(skolem70, skolem71) )).
% 12.18/12.35 cnf(non_thm_spt-2, axiom, ( model(skolem72, skolem71) )).
% 12.18/12.35 cnf(non_thm_spt-3, axiom, ( model(skolem70, skolem73) )).
% 12.18/12.35
% 12.18/12.35 % Formula: nota_unp_thm ( conjecture ) (definitionally) converted to clauses:
% 12.18/12.35 cnf(nota_unp_thm-1, negated_conjecture, ( ~nota(unp, thm) )).
% 12.18/12.35
% 12.18/12.35 % Problem matrix:
% 12.18/12.35 cnf(matrix-0, plain, ( status(_u8, _u6, unp) | ~model(_u0, _u8) )).
% 12.18/12.35 cnf(matrix-1, plain, ( status(_u8, _u6, unp) | model(skolem1(_u8, _u6), _u6) )).
% 12.18/12.35 cnf(matrix-2, plain, ( ~status(_u9, _u7, unp) | model(skolem2(_u9, _u7), _u9) | ~model(_u3, _u7) )).
% 12.18/12.35 cnf(matrix-3, plain, ( status(_u18, _u16, sap) | model(skolem3(_u18, _u16), _u18) )).
% 12.18/12.35 cnf(matrix-4, plain, ( status(_u18, _u16, sap) | ~model(_u11, _u16) )).
% 12.18/12.35 cnf(matrix-5, plain, ( ~status(_u19, _u17, sap) | ~model(_u12, _u19) | model(skolem4(_u19, _u17), _u17) )).
% 12.18/12.35 cnf(matrix-6, plain, ( status(_u32, _u30, esa) | model(skolem5(_u32, _u30), _u32) | model(skolem6(_u32, _u30), _u30) )).
% 12.18/12.35 cnf(matrix-7, plain, ( status(_u32, _u30, esa) | model(skolem5(_u32, _u30), _u32) | ~model(_u23, _u32) )).
% 12.18/12.35 cnf(matrix-8, plain, ( status(_u32, _u30, esa) | ~model(_u21, _u30) | model(skolem6(_u32, _u30), _u30) )).
% 12.18/12.35 cnf(matrix-9, plain, ( status(_u32, _u30, esa) | ~model(_u21, _u30) | ~model(_u23, _u32) )).
% 12.18/12.35 cnf(matrix-10, plain, ( ~status(_u33, _u31, esa) | ~model(_u24, _u33) | model(skolem7(_u33, _u31), _u31) )).
% 12.18/12.35 cnf(matrix-11, plain, ( ~status(_u33, _u31, esa) | ~model(_u26, _u31) | model(skolem8(_u33, _u31), _u33) )).
% 12.18/12.35 cnf(matrix-12, plain, ( ~model(_u34, _u40) | ~model(_u34, _u38) | status(_u40, _u38, sat) )).
% 12.18/12.35 cnf(matrix-13, plain, ( ~status(_u41, _u39, sat) | model(skolem9(_u41, _u39), _u41) )).
% 12.18/12.35 cnf(matrix-14, plain, ( ~status(_u41, _u39, sat) | model(skolem9(_u41, _u39), _u39) )).
% 12.18/12.35 cnf(matrix-15, plain, ( status(_u48, _u46, thm) | model(skolem10(_u48, _u46), _u48) )).
% 12.18/12.35 cnf(matrix-16, plain, ( status(_u48, _u46, thm) | ~model(skolem10(_u48, _u46), _u46) )).
% 12.18/12.35 cnf(matrix-17, plain, ( ~status(_u49, _u47, thm) | ~model(_u43, _u49) | model(_u43, _u47) )).
% 12.18/12.35 cnf(matrix-18, plain, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | model(skolem11(_u62, _u60), _u62) | model(skolem12(_u62, _u60), _u60) )).
% 12.18/12.35 cnf(matrix-19, plain, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | model(skolem11(_u62, _u60), _u62) | ~model(skolem12(_u62, _u60), _u62) )).
% 12.18/12.35 cnf(matrix-20, plain, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | ~model(skolem11(_u62, _u60), _u60) | model(skolem12(_u62, _u60), _u60) )).
% 12.18/12.35 cnf(matrix-21, plain, ( status(_u62, _u60, eqv) | ~model(_u50, _u62) | ~model(skolem11(_u62, _u60), _u60) | ~model(skolem12(_u62, _u60), _u62) )).
% 12.18/12.35 cnf(matrix-22, plain, ( ~status(_u63, _u61, eqv) | model(skolem13(_u63, _u61), _u63) )).
% 12.18/12.35 cnf(matrix-23, plain, ( ~status(_u63, _u61, eqv) | ~model(_u58, _u63) | model(_u58, _u61) )).
% 12.18/12.35 cnf(matrix-24, plain, ( ~status(_u63, _u61, eqv) | ~model(_u59, _u61) | model(_u59, _u63) )).
% 12.18/12.35 cnf(matrix-25, plain, ( ~model(_u64, _u72) | ~model(skolem14(_u72, _u70), _u70) | status(_u72, _u70, tac) )).
% 12.18/12.35 cnf(matrix-26, plain, ( ~status(_u73, _u71, tac) | model(skolem15(_u73, _u71), _u73) )).
% 12.18/12.35 cnf(matrix-27, plain, ( ~status(_u73, _u71, tac) | model(_u67, _u71) )).
% 12.18/12.35 cnf(matrix-28, plain, ( status(_u84, _u82, wec) | ~model(_u74, _u84) | ~model(_u76, _u82) | model(_u76, _u84) | model(skolem16(_u84, _u82), _u84) )).
% 12.18/12.35 cnf(matrix-29, plain, ( status(_u84, _u82, wec) | ~model(_u74, _u84) | ~model(_u76, _u82) | model(_u76, _u84) | ~model(skolem16(_u84, _u82), _u82) )).
% 12.18/12.35 cnf(matrix-30, plain, ( ~status(_u85, _u83, wec) | model(skolem17(_u85, _u83), _u85) )).
% 12.18/12.35 cnf(matrix-31, plain, ( ~status(_u85, _u83, wec) | ~model(_u78, _u85) | model(_u78, _u83) )).
% 12.18/12.35 cnf(matrix-32, plain, ( ~status(_u85, _u83, wec) | model(skolem18(_u85, _u83), _u83) )).
% 12.18/12.35 cnf(matrix-33, plain, ( ~status(_u85, _u83, wec) | ~model(skolem18(_u85, _u83), _u85) )).
% 12.18/12.35 cnf(matrix-34, plain, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | model(skolem19(_u100, _u98), _u100) | model(skolem20(_u100, _u98), _u98) )).
% 12.18/12.35 cnf(matrix-35, plain, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | model(skolem19(_u100, _u98), _u100) | ~model(skolem20(_u100, _u98), _u100) )).
% 12.18/12.35 cnf(matrix-36, plain, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | ~model(skolem19(_u100, _u98), _u98) | model(skolem20(_u100, _u98), _u98) )).
% 12.18/12.35 cnf(matrix-37, plain, ( status(_u100, _u98, eth) | ~model(_u86, _u100) | model(_u87, _u100) | ~model(skolem19(_u100, _u98), _u98) | ~model(skolem20(_u100, _u98), _u100) )).
% 12.18/12.35 cnf(matrix-38, plain, ( ~status(_u101, _u99, eth) | model(skolem21(_u101, _u99), _u101) )).
% 12.18/12.35 cnf(matrix-39, plain, ( ~status(_u101, _u99, eth) | ~model(skolem22(_u101, _u99), _u101) )).
% 12.18/12.35 cnf(matrix-40, plain, ( ~status(_u101, _u99, eth) | ~model(_u96, _u101) | model(_u96, _u99) )).
% 12.18/12.35 cnf(matrix-41, plain, ( ~status(_u101, _u99, eth) | ~model(_u97, _u99) | model(_u97, _u101) )).
% 12.18/12.35 cnf(matrix-42, plain, ( ~model(skolem23(_u112, _u110), _u112) | ~model(skolem24(_u112, _u110), _u110) | status(_u112, _u110, tau) )).
% 12.18/12.35 cnf(matrix-43, plain, ( ~status(_u113, _u111, tau) | model(_u108, _u113) )).
% 12.18/12.35 cnf(matrix-44, plain, ( ~status(_u113, _u111, tau) | model(_u109, _u111) )).
% 12.18/12.35 cnf(matrix-45, plain, ( ~model(_u114, _u124) | model(_u115, _u124) | ~model(skolem25(_u124, _u122), _u122) | status(_u124, _u122, wtc) )).
% 12.18/12.35 cnf(matrix-46, plain, ( ~status(_u125, _u123, wtc) | model(skolem26(_u125, _u123), _u125) )).
% 12.18/12.35 cnf(matrix-47, plain, ( ~status(_u125, _u123, wtc) | ~model(skolem27(_u125, _u123), _u125) )).
% 12.18/12.35 cnf(matrix-48, plain, ( ~status(_u125, _u123, wtc) | model(_u119, _u123) )).
% 12.18/12.35 cnf(matrix-49, plain, ( status(_u138, _u136, wth) | ~model(_u126, _u138) | model(_u129, _u136) | ~model(_u128, _u136) | model(_u128, _u138) | model(skolem28(_u138, _u136), _u138) )).
% 12.18/12.35 cnf(matrix-50, plain, ( status(_u138, _u136, wth) | ~model(_u126, _u138) | model(_u129, _u136) | ~model(_u128, _u136) | model(_u128, _u138) | ~model(skolem28(_u138, _u136), _u136) )).
% 12.18/12.35 cnf(matrix-51, plain, ( ~status(_u139, _u137, wth) | model(skolem29(_u139, _u137), _u139) )).
% 12.18/12.35 cnf(matrix-52, plain, ( ~status(_u139, _u137, wth) | ~model(_u131, _u139) | model(_u131, _u137) )).
% 12.18/12.35 cnf(matrix-53, plain, ( ~status(_u139, _u137, wth) | model(skolem30(_u139, _u137), _u137) )).
% 12.18/12.35 cnf(matrix-54, plain, ( ~status(_u139, _u137, wth) | ~model(skolem30(_u139, _u137), _u139) )).
% 12.18/12.35 cnf(matrix-55, plain, ( ~status(_u139, _u137, wth) | ~model(skolem31(_u139, _u137), _u137) )).
% 12.18/12.35 cnf(matrix-56, plain, ( model(skolem32(_u146), _u146) | status(_u146, _u144, cax) )).
% 12.18/12.35 cnf(matrix-57, plain, ( ~model(_u141, _u147) | ~status(_u147, _u145, cax) )).
% 12.18/12.35 cnf(matrix-58, plain, ( model(skolem33(_u156, _u154), _u156) | ~model(_u149, _u154) | status(_u156, _u154, sca) )).
% 12.18/12.35 cnf(matrix-59, plain, ( ~status(_u157, _u155, sca) | ~model(_u150, _u157) )).
% 12.18/12.35 cnf(matrix-60, plain, ( ~status(_u157, _u155, sca) | model(skolem34(_u157, _u155), _u155) )).
% 12.18/12.35 cnf(matrix-61, plain, ( model(skolem35(_u166, _u164), _u166) | ~model(skolem36(_u166, _u164), _u164) | status(_u166, _u164, tca) )).
% 12.18/12.35 cnf(matrix-62, plain, ( ~status(_u167, _u165, tca) | ~model(_u160, _u167) )).
% 12.18/12.35 cnf(matrix-63, plain, ( ~status(_u167, _u165, tca) | model(_u161, _u165) )).
% 12.18/12.35 cnf(matrix-64, plain, ( model(skolem37(_u178, _u176), _u178) | ~model(_u169, _u176) | model(_u170, _u176) | status(_u178, _u176, wca) )).
% 12.18/12.35 cnf(matrix-65, plain, ( ~status(_u179, _u177, wca) | ~model(_u171, _u179) )).
% 12.18/12.35 cnf(matrix-66, plain, ( ~status(_u179, _u177, wca) | model(skolem38(_u179, _u177), _u177) )).
% 12.18/12.35 cnf(matrix-67, plain, ( ~status(_u179, _u177, wca) | ~model(skolem39(_u179, _u177), _u177) )).
% 12.18/12.35 cnf(matrix-68, plain, ( ~model(_u180, _u186) | ~model(_u180, not(_u184)) | status(_u186, _u184, csa) )).
% 12.18/12.35 cnf(matrix-69, plain, ( ~status(_u187, _u185, csa) | model(skolem40(_u187, _u185), _u187) )).
% 12.18/12.35 cnf(matrix-70, plain, ( ~status(_u187, _u185, csa) | model(skolem40(_u187, _u185), not(_u185)) )).
% 12.18/12.35 cnf(matrix-71, plain, ( ~model(skolem41(_u196, _u194), _u196) | ~model(skolem42(_u196, _u194), not(_u194)) | status(_u196, _u194, uns) )).
% 12.18/12.35 cnf(matrix-72, plain, ( ~status(_u197, _u195, uns) | model(_u190, _u197) )).
% 12.18/12.35 cnf(matrix-73, plain, ( ~status(_u197, _u195, uns) | model(_u191, not(_u195)) )).
% 12.18/12.35 cnf(matrix-74, plain, ( ~model(_u198, _u206) | ~model(_u198, _u204) | ~model(_u199, _u206) | ~model(_u199, not(_u204)) | status(_u206, _u204, noc) )).
% 12.18/12.35 cnf(matrix-75, plain, ( ~status(_u207, _u205, noc) | model(skolem43(_u207, _u205), _u207) )).
% 12.18/12.35 cnf(matrix-76, plain, ( ~status(_u207, _u205, noc) | model(skolem43(_u207, _u205), _u205) )).
% 12.18/12.35 cnf(matrix-77, plain, ( ~status(_u207, _u205, noc) | model(skolem44(_u207, _u205), _u207) )).
% 12.18/12.35 cnf(matrix-78, plain, ( ~status(_u207, _u205, noc) | model(skolem44(_u207, _u205), not(_u205)) )).
% 12.18/12.35 cnf(matrix-79, plain, ( ~status(_u209, _u208, _u216) | ~status(_u209, _u208, _u214) | mighta(_u216, _u214) )).
% 12.18/12.35 cnf(matrix-80, plain, ( ~mighta(_u217, _u215) | status(skolem45(_u217, _u215), skolem46(_u217, _u215), _u217) )).
% 12.18/12.35 cnf(matrix-81, plain, ( ~mighta(_u217, _u215) | status(skolem45(_u217, _u215), skolem46(_u217, _u215), _u215) )).
% 12.18/12.35 cnf(matrix-82, plain, ( isa(_u226, _u224) | status(skolem47(_u226, _u224), skolem48(_u226, _u224), _u226) )).
% 12.18/12.35 cnf(matrix-83, plain, ( isa(_u226, _u224) | ~status(skolem47(_u226, _u224), skolem48(_u226, _u224), _u224) )).
% 12.18/12.35 cnf(matrix-84, plain, ( ~isa(_u227, _u225) | ~status(_u221, _u220, _u227) | status(_u221, _u220, _u225) )).
% 12.18/12.35 cnf(matrix-85, plain, ( ~status(_u229, _u228, _u236) | status(_u229, _u228, _u234) | nota(_u236, _u234) )).
% 12.18/12.35 cnf(matrix-86, plain, ( ~nota(_u237, _u235) | status(skolem49(_u237, _u235), skolem50(_u237, _u235), _u237) )).
% 12.18/12.35 cnf(matrix-87, plain, ( ~nota(_u237, _u235) | ~status(skolem49(_u237, _u235), skolem50(_u237, _u235), _u235) )).
% 12.18/12.35 cnf(matrix-88, plain, ( nevera(_u246, _u244) | status(skolem51(_u246, _u244), skolem52(_u246, _u244), _u246) )).
% 12.18/12.35 cnf(matrix-89, plain, ( nevera(_u246, _u244) | status(skolem51(_u246, _u244), skolem52(_u246, _u244), _u244) )).
% 12.18/12.35 cnf(matrix-90, plain, ( ~nevera(_u247, _u245) | ~status(_u241, _u240, _u247) | ~status(_u241, _u240, _u245) )).
% 12.18/12.35 cnf(matrix-91, plain, ( xora(_u256, _u254) | ~status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u256) | status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u254) )).
% 12.18/12.35 cnf(matrix-92, plain, ( xora(_u256, _u254) | status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u256) | ~status(skolem53(_u256, _u254), skolem54(_u256, _u254), _u254) )).
% 12.18/12.35 cnf(matrix-93, plain, ( ~xora(_u257, _u255) | status(_u251, _u250, _u257) | status(_u251, _u250, _u255) )).
% 12.18/12.35 cnf(matrix-94, plain, ( ~xora(_u257, _u255) | ~status(_u251, _u250, _u255) | ~status(_u251, _u250, _u257) )).
% 12.18/12.35 cnf(matrix-95, plain, ( model(_u259, _u258) | model(_u259, not(_u258)) )).
% 12.18/12.35 cnf(matrix-96, plain, ( ~model(_u259, not(_u258)) | ~model(_u259, _u258) )).
% 12.18/12.35 cnf(matrix-97, plain, ( ~model(_u264, _u262) | ~model(_u264, not(_u262)) )).
% 12.18/12.35 cnf(matrix-98, plain, ( model(_u265, not(_u263)) | model(_u265, _u263) )).
% 12.18/12.35 cnf(matrix-99, plain, ( model(_u266, skolem55) )).
% 12.18/12.35 cnf(matrix-100, plain, ( model(skolem57, skolem56) )).
% 12.18/12.35 cnf(matrix-101, plain, ( ~model(skolem58, skolem56) )).
% 12.18/12.35 cnf(matrix-102, plain, ( ~model(_u271, skolem59) )).
% 12.18/12.35 cnf(matrix-103, plain, ( model(skolem62, skolem60) )).
% 12.18/12.35 cnf(matrix-104, plain, ( model(skolem62, skolem61) )).
% 12.18/12.35 cnf(matrix-105, plain, ( ~model(skolem63, skolem60) | ~model(skolem64, skolem61) )).
% 12.18/12.35 cnf(matrix-106, plain, ( model(skolem66, skolem65) )).
% 12.18/12.35 cnf(matrix-107, plain, ( ~model(_u280, skolem65) | model(_u280, skolem67) )).
% 12.18/12.35 cnf(matrix-108, plain, ( ~model(skolem68, skolem65) )).
% 12.18/12.35 cnf(matrix-109, plain, ( model(skolem68, skolem67) )).
% 12.18/12.35 cnf(matrix-110, plain, ( ~model(skolem69, skolem67) )).
% 12.18/12.35 cnf(matrix-111, plain, ( ~model(skolem70, skolem71) )).
% 12.18/12.35 cnf(matrix-112, plain, ( model(skolem72, skolem71) )).
% 12.18/12.35 cnf(matrix-113, plain, ( model(skolem70, skolem73) )).
% 12.18/12.35 cnf(matrix-114, plain, ( ~nota(unp, thm) )).
% 12.18/12.35
% 12.18/12.35 % Proof stack:
% 12.18/12.35 cnf(proof-stack, plain,
% 12.18/12.35 proof_stack(
% 12.18/12.35 start(114),
% 12.18/12.35 left_branch(0, 85, 2, 2),
% 12.18/12.35 left_branch(0, 1, 0, 3),
% 12.18/12.35 left_branch(0, 102, 0, 4),
% 12.18/12.35 right_branch(4),
% 12.18/12.35 right_branch(3),
% 12.18/12.35 left_branch(0, 17, 0, 4),
% 12.18/12.35 left_branch(0, 102, 0, 5),
% 12.18/12.35 right_branch(5),
% 12.18/12.35 left_branch(0, 113, 0, 6),
% 12.18/12.35 right_branch(6),
% 12.18/12.35 right_branch(4),
% 12.18/12.35 right_branch(2)
% 12.18/12.35 )).
% 12.18/12.35 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------