%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT115+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:27:48 AM UTC 2026
% Result : Theorem 77.01s 17.54s
% Output : CNFRefutation 77.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT115+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n015.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 06:33:04 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 77.01/17.54 % SZS status Theorem for theBenchmark.p
% 77.01/17.54 % SZS output start CNFRefutation for theBenchmark.p
% 77.01/17.54 fof(conj_1, hypothesis, (! [X0] : ! [X1] : (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') => ! [X2] : (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL'))))) & (! [X0] : ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X0),'v$uL') & ! [X0] : ! [X1] : ((X0 != X1 => ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL'))))))).
% 77.01/17.54 fof(conj_2, conjecture, (! [X0] : ! [X1] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$ux' & X1 != 'v$ux')) => ! [X2] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$ux') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')) & ((X2 = 'v$ux' & 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL')) => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL'))))) & (((X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL') & X0 != 'v$ux')) => ! [X2] : ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL') & X2 != 'v$ux') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')))) & ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X1),'v$uL') & X1 != 'v$ux')) => ! [X2] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$ux') => (X2 = 'v$uy' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL'))) & (X2 = 'v$ux' => ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL')))))))) & ! [X0] : ! [X1] : ((X0 != X1 => ((X0 = 'v$ux' & X1 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$ux' & X1 != 'v$ux')) | ((X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL') & X0 != 'v$ux')) | ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X1),'v$uL') & X1 != 'v$ux')) | ((X1 = 'v$ux' & X0 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') & (X1 != 'v$ux' & X0 != 'v$ux')) | ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL') & X1 != 'v$ux')) | (X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X0),'v$uL') & X0 != 'v$ux'))))))))))))).
% 77.01/17.54 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ! [X1] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$ux' & X1 != 'v$ux')) => ! [X2] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$ux') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')) & ((X2 = 'v$ux' & 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL')) => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL'))))) & (((X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL') & X0 != 'v$ux')) => ! [X2] : ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL') & X2 != 'v$ux') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')))) & ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X1),'v$uL') & X1 != 'v$ux')) => ! [X2] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$ux') => (X2 = 'v$uy' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL'))) & (X2 = 'v$ux' => ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL')))))))) & ! [X0] : ! [X1] : ((X0 != X1 => ((X0 = 'v$ux' & X1 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$ux' & X1 != 'v$ux')) | ((X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL') & X0 != 'v$ux')) | ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X1),'v$uL') & X1 != 'v$ux')) | ((X1 = 'v$ux' & X0 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') & (X1 != 'v$ux' & X0 != 'v$ux')) | ((X0 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL') & X1 != 'v$ux')) | (X1 = 'v$ux' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X0),'v$uL') & X0 != 'v$ux'))))))))))))), inference(negate_conjecture, [status(cth)], [conj_2])).
% 77.01/17.54 cnf(c59, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 77.01/17.54 cnf(c60, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X0),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 77.01/17.54 cnf(c61, plain, X0 = X1 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 77.01/17.54 cnf(c62, plain, ~X0(sK160,sK161) | ~X1(sK160,sK161) | ~X2(sK160,sK161) | ~X3, inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c63, plain, X0(X1,X2,X3) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,X3),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c64, plain, X0(X1,X2,X3) | X3 != 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c65, plain, X0(X1,X2,X3) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X3),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c66, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c69, plain, X0(X1,X2) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c70, plain, X0(X1,X2) | X2 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c71, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c72, plain, X0(X1,X2) | X1 != 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c73, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK162(X1)),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c75, plain, X0(X1,X2) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,sK162(X1)),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c76, plain, X0(X1,X2) | X1 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c77, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c80, plain, X0(X1,X2) | ~X3(X2,sK163(X2)) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,'v$uy'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c81, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c82, plain, X0(X1,X2) | X1 != 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c83, plain, X0(X1,X2) | X2 != 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c84, plain, X0(X1,X2) | ~X3(X1,X2,sK164(X1,X2)) | sK164(X1,X2) = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c85, plain, X0(X1,X2) | ~X3(X1,X2,sK164(X1,X2)) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,'v$uy'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c86, plain, X0(X1,X2) | ~X3(X1,X2,sK164(X1,X2)) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$uy'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c87, plain, X0 | sK165 != sK166, inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c88, plain, X0 | sK165 != 'v$ux' | sK166 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c89, plain, X0 | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK165,sK166),'v$uL') | sK165 = 'v$ux' | sK166 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c90, plain, X0 | sK166 != 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK165,'v$uy'),'v$uL') | sK165 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c91, plain, X0 | sK165 != 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK166),'v$uL') | sK166 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c92, plain, X0 | sK166 != 'v$ux' | sK165 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c93, plain, X0 | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,sK165),'v$uL') | sK166 = 'v$ux' | sK165 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c94, plain, X0 | sK165 != 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$uy'),'v$uL') | sK166 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(c95, plain, X0 | sK166 != 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK165),'v$uL') | sK165 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 77.01/17.54 cnf(d0, plain, sK166 = sK165 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,sK165),'v$uL') | sK165 = 'v$ux' | sK166 = 'v$ux' | 'Ts159', inference(resolution, [status(thm)], [c61,c89])).
% 77.01/17.54 cnf(d1, plain, sK165 = 'v$ux' | sK166 = 'v$ux' | sK166 = sK165 | 'Ts159' | sK165 = 'v$ux' | sK166 = 'v$ux' | 'Ts159', inference(resolution, [status(thm)], [d0,c93])).
% 77.01/17.54 cnf(d2, plain, sK165 != sK165 | 'Ts159' | sK165 = 'v$ux' | sK166 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d1,c87])).
% 77.01/17.54 cnf(d3, plain, sK165 = 'v$ux' | sK166 = 'v$ux' | 'Ts159', inference(equality_resolution, [status(thm)], [d2])).
% 77.01/17.54 cnf(d4, plain, 'v$ux' != 'v$ux' | sK165 != 'v$uy' | 'Ts159' | sK165 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d3,c92])).
% 77.01/17.54 cnf(d5, plain, 'v$ux' != 'v$ux' | sK165 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK165,'v$uy'),'v$uL') | 'Ts159' | sK165 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d3,c90])).
% 77.01/17.54 cnf(d6, plain, sK165 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK165,'v$uy'),'v$uL') | 'Ts159', inference(equality_resolution, [status(thm)], [d5])).
% 77.01/17.54 cnf(d7, plain, 'v$ux' != 'v$ux' | sK165 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK165),'v$uL') | 'Ts159' | sK165 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d3,c95])).
% 77.01/17.54 cnf(d8, plain, sK165 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK165),'v$uL') | 'Ts159', inference(equality_resolution, [status(thm)], [d7])).
% 77.01/17.54 cnf(d9, plain, sK165 = 'v$ux' | 'Ts159' | sK165 = 'v$uy' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK165,'v$uy'),'v$uL'), inference(resolution, [status(thm)], [d8,c61])).
% 77.01/17.54 cnf(d10, plain, sK165 = 'v$ux' | sK165 = 'v$uy' | 'Ts159' | sK165 = 'v$ux' | 'Ts159', inference(resolution, [status(thm)], [d9,d6])).
% 77.01/17.54 cnf(d11, plain, 'v$uy' != 'v$uy' | 'v$ux' != 'v$ux' | sK165 = 'v$ux' | 'Ts159' | sK165 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d10,d4])).
% 77.01/17.54 cnf(d12, plain, 'v$ux' != 'v$ux' | sK165 = 'v$ux' | 'Ts159', inference(equality_resolution, [status(thm)], [d11])).
% 77.01/17.54 cnf(d13, plain, sK165 = 'v$ux' | 'Ts159', inference(equality_resolution, [status(thm)], [d12])).
% 77.01/17.54 cnf(d14, plain, 'v$ux' != 'v$ux' | sK166 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$uy'),'v$uL') | 'Ts159' | 'Ts159', inference(superposition, [status(thm)], [d13,c94])).
% 77.01/17.54 cnf(d15, plain, sK166 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$uy'),'v$uL') | 'Ts159', inference(equality_resolution, [status(thm)], [d14])).
% 77.01/17.54 cnf(d16, plain, 'v$ux' != 'v$ux' | sK166 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK166),'v$uL') | 'Ts159' | 'Ts159', inference(superposition, [status(thm)], [d13,c91])).
% 77.01/17.54 cnf(d17, plain, sK166 = 'v$ux' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',sK166),'v$uL') | 'Ts159', inference(equality_resolution, [status(thm)], [d16])).
% 77.01/17.54 cnf(d18, plain, sK166 = 'v$ux' | 'Ts159' | sK166 = 'v$uy' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$uy'),'v$uL'), inference(resolution, [status(thm)], [d17,c61])).
% 77.01/17.54 cnf(d19, plain, sK166 = 'v$ux' | sK166 = 'v$uy' | 'Ts159' | sK166 = 'v$ux' | 'Ts159', inference(resolution, [status(thm)], [d18,d15])).
% 77.01/17.54 cnf(d20, plain, 'v$uy' != 'v$uy' | sK165 != 'v$ux' | 'Ts159' | sK166 = 'v$ux' | 'Ts159', inference(superposition, [status(thm)], [d19,c88])).
% 77.01/17.54 cnf(d21, plain, 'v$ux' != 'v$ux' | 'v$uy' != 'v$uy' | sK166 = 'v$ux' | 'Ts159' | 'Ts159', inference(superposition, [status(thm)], [d13,d20])).
% 77.01/17.54 cnf(d22, plain, 'v$ux' != 'v$ux' | sK166 = 'v$ux' | 'Ts159', inference(equality_resolution, [status(thm)], [d21])).
% 77.01/17.54 cnf(d23, plain, sK166 = 'v$ux' | 'Ts159', inference(equality_resolution, [status(thm)], [d22])).
% 77.01/17.54 cnf(d24, plain, sK165 != 'v$ux' | 'Ts159' | 'Ts159', inference(superposition, [status(thm)], [d23,c87])).
% 77.01/17.54 cnf(d25, plain, 'v$ux' != 'v$ux' | 'Ts159' | 'Ts159', inference(superposition, [status(thm)], [d13,d24])).
% 77.01/17.54 cnf(d26, plain, 'Ts159', inference(equality_resolution, [status(thm)], [d25])).
% 77.01/17.54 cnf(d27, plain, ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161) | ~'Ts158'(sK160,sK161), inference(resolution, [status(thm)], [d26,c62])).
% 77.01/17.54 cnf(d28, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X1),'v$uL') | 'Ts157'(X2,X0), inference(resolution, [status(thm)], [c59,c77])).
% 77.01/17.54 cnf(d29, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy','v$uy'),'v$uL') | 'Ts157'(X0,X1) | 'Ts158'(X2,X1) | ~'Ts154'(X2,X1,sK164(X2,X1)), inference(resolution, [status(thm)], [d28,c85])).
% 77.01/17.54 cnf(d30, plain, 'Ts157'(X0,X1) | 'Ts158'(X2,X1) | ~'Ts154'(X2,X1,sK164(X2,X1)), inference(resolution, [status(thm)], [c60,d29])).
% 77.01/17.54 cnf(d31, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,X1),'v$uL') | 'Ts158'(X2,X0), inference(resolution, [status(thm)], [c59,c81])).
% 77.01/17.54 cnf(d32, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'Ts158'(X0,X2) | 'Ts154'(X3,X2,X1), inference(resolution, [status(thm)], [d31,c63])).
% 77.01/17.54 cnf(d33, plain, 'Ts158'(X0,X1) | 'Ts154'(X2,X1,X3) | 'Ts154'(X0,X4,X3), inference(resolution, [status(thm)], [d32,c65])).
% 77.01/17.54 cnf(d34, plain, 'Ts158'(X0,X1) | 'Ts154'(X2,X1,sK164(X0,X3)) | sK164(X0,X3) = 'v$ux' | 'Ts158'(X0,X3), inference(resolution, [status(thm)], [d33,c84])).
% 77.01/17.54 cnf(d35, plain, sK164(X0,X1) = 'v$ux' | 'Ts158'(X0,X1) | 'Ts158'(X0,X1) | sK164(X0,X1) = 'v$ux' | 'Ts158'(X0,X1), inference(resolution, [status(thm)], [d34,c84])).
% 77.01/17.54 cnf(d36, plain, ~'Ts154'(X0,X1,'v$ux') | 'Ts157'(X2,X1) | 'Ts158'(X0,X1) | 'Ts158'(X0,X1), inference(superposition, [status(thm)], [d35,d30])).
% 77.01/17.54 cnf(d37, plain, 'Ts154'(X0,X1,'v$ux'), inference(equality_resolution, [status(thm)], [c64])).
% 77.01/17.54 cnf(d38, plain, 'Ts157'(X0,X1) | 'Ts158'(X2,X1), inference(resolution, [status(thm)], [d37,d36])).
% 77.01/17.54 cnf(d39, plain, 'Ts157'(X0,sK161) | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d38,d27])).
% 77.01/17.54 cnf(d40, plain, 'Ts157'(X0,sK161) | ~'Ts157'(sK160,sK161) | sK161 = 'v$ux', inference(resolution, [status(thm)], [d39,c70])).
% 77.01/17.54 cnf(d41, plain, sK161 = 'v$ux' | 'Ts157'(X0,sK161) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d40,c76])).
% 77.01/17.54 cnf(d42, plain, 'Ts158'(X0,X1) | ~'Ts154'(X0,X1,sK164(X0,X1)) | 'Ts156'(X0,X2), inference(resolution, [status(thm)], [c86,c71])).
% 77.01/17.54 cnf(d43, plain, ~'Ts154'(X0,X1,'v$ux') | 'Ts156'(X0,X2) | 'Ts158'(X0,X1) | 'Ts158'(X0,X1), inference(superposition, [status(thm)], [d35,d42])).
% 77.01/17.54 cnf(d44, plain, 'Ts156'(X0,X1) | 'Ts158'(X0,X2), inference(resolution, [status(thm)], [d37,d43])).
% 77.01/17.54 cnf(d45, plain, 'Ts156'(sK160,X0) | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d44,d27])).
% 77.01/17.54 cnf(d46, plain, ~'Ts157'(sK160,sK161) | 'Ts156'(sK160,X0) | sK161 = 'v$ux', inference(resolution, [status(thm)], [d45,c70])).
% 77.01/17.54 cnf(d47, plain, sK161 = 'v$ux' | 'Ts156'(sK160,X0) | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d46,d41])).
% 77.01/17.54 cnf(d48, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$uy'),'v$uL') | 'Ts158'(X0,X1) | 'Ts158'(X2,X1) | ~'Ts154'(X2,X1,sK164(X2,X1)), inference(resolution, [status(thm)], [d31,c85])).
% 77.01/17.54 cnf(d49, plain, 'Ts158'(X0,X1) | 'Ts158'(X2,X1) | ~'Ts154'(X0,X1,sK164(X0,X1)) | 'Ts158'(X2,X3) | ~'Ts154'(X2,X3,sK164(X2,X3)), inference(resolution, [status(thm)], [d48,c86])).
% 77.01/17.54 cnf(d50, plain, ~'Ts154'(X0,X1,'v$ux') | 'Ts158'(X2,X3) | 'Ts158'(X2,X1) | 'Ts158'(X0,X1) | ~'Ts154'(X2,X3,sK164(X2,X3)) | 'Ts158'(X0,X1), inference(superposition, [status(thm)], [d35,d49])).
% 77.01/17.54 cnf(d51, plain, 'Ts158'(X0,X1) | 'Ts158'(X0,X2) | 'Ts158'(X3,X2) | ~'Ts154'(X0,X1,sK164(X0,X1)), inference(resolution, [status(thm)], [d37,d50])).
% 77.01/17.54 cnf(d52, plain, ~'Ts154'(X0,X1,'v$ux') | 'Ts158'(X2,X3) | 'Ts158'(X0,X3) | 'Ts158'(X0,X1) | 'Ts158'(X0,X1), inference(superposition, [status(thm)], [d35,d51])).
% 77.01/17.54 cnf(d53, plain, 'Ts158'(X0,X1) | 'Ts158'(X2,X1) | 'Ts158'(X2,X3), inference(resolution, [status(thm)], [d37,d52])).
% 77.01/17.54 cnf(d54, plain, 'Ts158'(X0,X1) | 'Ts158'(X0,sK161) | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d53,d27])).
% 77.01/17.54 cnf(d55, plain, ~'Ts157'(sK160,sK161) | 'Ts158'(X0,X1) | 'Ts158'(X0,sK161) | sK161 = 'v$ux', inference(resolution, [status(thm)], [d54,c70])).
% 77.01/17.54 cnf(d56, plain, sK161 = 'v$ux' | 'Ts158'(X0,X1) | 'Ts158'(X0,sK161) | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d55,d41])).
% 77.01/17.54 cnf(d57, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | 'Ts158'(sK160,X0) | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d56,d27])).
% 77.01/17.54 cnf(d58, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | ~'Ts157'(sK160,sK161) | 'Ts158'(sK160,X0) | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d57,d47])).
% 77.01/17.54 cnf(d59, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | 'Ts158'(sK160,X0) | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d58,d41])).
% 77.01/17.54 cnf(d60, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d59,d27])).
% 77.01/17.54 cnf(d61, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | ~'Ts157'(sK160,sK161) | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d60,d47])).
% 77.01/17.54 cnf(d62, plain, sK160 = 'v$ux' | sK161 = 'v$ux' | sK160 = 'v$ux' | sK161 = 'v$ux', inference(resolution, [status(thm)], [d61,d41])).
% 77.01/17.54 cnf(d63, plain, ~'Ts158'(sK160,'v$ux') | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161) | sK160 = 'v$ux', inference(superposition, [status(thm)], [d62,d27])).
% 77.01/17.54 cnf(d64, plain, 'Ts158'(X0,'v$ux'), inference(equality_resolution, [status(thm)], [c83])).
% 77.01/17.54 cnf(d65, plain, sK160 = 'v$ux' | ~'Ts157'(sK160,sK161) | ~'Ts156'(sK160,sK161), inference(resolution, [status(thm)], [d64,d63])).
% 77.01/17.54 cnf(d66, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X0),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') | 'Ts156'(X1,X2), inference(resolution, [status(thm)], [c59,c71])).
% 77.01/17.54 cnf(d67, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,sK162(X1)),'v$uL') | 'Ts156'(X0,X2) | 'Ts156'(X1,X3), inference(resolution, [status(thm)], [d66,c73])).
% 77.01/17.54 cnf(d68, plain, 'Ts156'(X0,X1) | 'Ts156'(X0,X2) | 'Ts156'(X0,X3), inference(resolution, [status(thm)], [d67,c75])).
% 77.01/17.54 cnf(d69, plain, 'Ts157'(X0,sK161) | ~'Ts157'(sK160,sK161) | 'Ts156'(sK160,X1) | 'Ts156'(sK160,X2), inference(resolution, [status(thm)], [d39,d68])).
% 77.01/17.54 cnf(d70, plain, 'Ts157'(X0,sK161) | 'Ts156'(sK160,X1) | 'Ts156'(sK160,X2) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d69,c76])).
% 77.01/17.54 cnf(d71, plain, sK160 = 'v$ux' | ~'Ts157'(sK160,sK161) | sK160 = 'v$ux' | 'Ts157'(X0,sK161) | 'Ts156'(sK160,X1), inference(resolution, [status(thm)], [d65,d70])).
% 77.01/17.54 cnf(d72, plain, sK160 = 'v$ux' | 'Ts157'(X0,sK161) | 'Ts156'(sK160,X1) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d71,c76])).
% 77.01/17.54 cnf(d73, plain, sK160 = 'v$ux' | 'Ts157'(X0,sK161) | sK160 = 'v$ux' | ~'Ts157'(sK160,sK161), inference(resolution, [status(thm)], [d72,d65])).
% 77.01/17.54 cnf(d74, plain, sK160 = 'v$ux' | 'Ts157'(X0,sK161) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d73,c76])).
% 77.01/17.54 cnf(d75, plain, sK160 = 'v$ux' | ~'Ts157'(sK160,sK161) | 'Ts156'(sK160,X0) | 'Ts156'(sK160,X1), inference(resolution, [status(thm)], [d65,d68])).
% 77.01/17.54 cnf(d76, plain, sK160 = 'v$ux' | 'Ts156'(sK160,X0) | 'Ts156'(sK160,X1) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d75,d74])).
% 77.01/17.54 cnf(d77, plain, sK160 = 'v$ux' | 'Ts156'(sK160,X0) | sK160 = 'v$ux' | ~'Ts157'(sK160,sK161), inference(resolution, [status(thm)], [d76,d65])).
% 77.01/17.54 cnf(d78, plain, sK160 = 'v$ux' | 'Ts156'(sK160,X0) | sK160 = 'v$ux', inference(resolution, [status(thm)], [d77,d74])).
% 77.01/17.54 cnf(d79, plain, sK160 = 'v$ux' | sK160 = 'v$ux' | ~'Ts157'(sK160,sK161), inference(resolution, [status(thm)], [d78,d65])).
% 77.01/17.54 cnf(d80, plain, sK160 = 'v$ux' | sK160 = 'v$ux', inference(resolution, [status(thm)], [d79,d74])).
% 77.01/17.54 cnf(d81, plain, ~'Ts157'('v$ux',sK161) | ~'Ts156'(sK160,sK161) | ~'Ts158'(sK160,sK161), inference(demodulation, [status(thm)], [d27,d80])).
% 77.01/17.54 cnf(d82, plain, ~'Ts157'('v$ux',sK161) | ~'Ts156'('v$ux',sK161) | ~'Ts158'(sK160,sK161), inference(demodulation, [status(thm)], [d81,d80])).
% 77.01/17.54 cnf(d83, plain, ~'Ts157'('v$ux',sK161) | ~'Ts156'('v$ux',sK161) | ~'Ts158'('v$ux',sK161), inference(demodulation, [status(thm)], [d82,d80])).
% 77.01/17.54 cnf(d84, plain, 'Ts156'('v$ux',X0), inference(equality_resolution, [status(thm)], [c72])).
% 77.01/17.54 cnf(d85, plain, ~'Ts157'('v$ux',sK161) | ~'Ts158'('v$ux',sK161), inference(resolution, [status(thm)], [d84,d83])).
% 77.01/17.54 cnf(d86, plain, 'Ts158'('v$ux',X0), inference(equality_resolution, [status(thm)], [c82])).
% 77.01/17.54 cnf(d87, plain, ~'Ts157'('v$ux',sK161), inference(resolution, [status(thm)], [d86,d85])).
% 77.01/17.54 cnf(d88, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy','v$uy'),'v$uL') | 'Ts157'(X0,X1) | 'Ts157'(X2,X1) | ~'Ts155'(X1,sK163(X1)), inference(resolution, [status(thm)], [d28,c80])).
% 77.01/17.54 cnf(d89, plain, 'Ts157'(X0,X1) | 'Ts157'(X2,X1) | ~'Ts155'(X1,sK163(X1)), inference(resolution, [status(thm)], [c60,d88])).
% 77.01/17.54 cnf(d90, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$uy',X0),'v$uL') | 'Ts157'(X1,X2) | 'Ts155'(X2,X0), inference(resolution, [status(thm)], [d28,c66])).
% 77.01/17.54 cnf(d91, plain, 'Ts157'(X0,X1) | 'Ts155'(X1,X2) | 'Ts155'(X3,X2), inference(resolution, [status(thm)], [d90,c69])).
% 77.01/17.54 cnf(d92, plain, 'Ts157'(X0,X1) | 'Ts157'(X2,X1) | 'Ts157'(X3,X1) | 'Ts155'(X4,sK163(X1)), inference(resolution, [status(thm)], [d89,d91])).
% 77.01/17.54 cnf(d93, plain, 'Ts157'(X0,X1) | 'Ts157'(X2,X1) | 'Ts157'(X3,X1) | 'Ts157'(X4,X1) | 'Ts157'(X5,X1), inference(resolution, [status(thm)], [d92,d89])).
% 77.01/17.54 cnf(d94, plain, 'Ts157'(X0,sK161) | 'Ts157'(X1,sK161) | 'Ts157'(X2,sK161) | 'Ts157'(X3,sK161), inference(resolution, [status(thm)], [d87,d93])).
% 77.01/17.54 cnf(d95, plain, 'Ts157'(X0,sK161) | 'Ts157'(X1,sK161) | 'Ts157'(X2,sK161), inference(resolution, [status(thm)], [d94,d87])).
% 77.01/17.54 cnf(d96, plain, 'Ts157'(X0,sK161) | 'Ts157'(X1,sK161), inference(resolution, [status(thm)], [d95,d87])).
% 77.01/17.54 cnf(d97, plain, 'Ts157'(X0,sK161), inference(resolution, [status(thm)], [d96,d87])).
% 77.01/17.54 cnf(d98, plain, $false, inference(resolution, [status(thm)], [d97,d87])).
% 77.01/17.54 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------