%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : LCL687+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n008.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 : Fri Sep 25 02:10:19 PM UTC 2026
% Result : CounterSatisfiable 3.51s 1.28s
% Output : Model 3.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of r1
fof(lit_def,axiom,
! [X0,X1] :
( r1(X0,X1)
<=> ( X1 = sK129(X0)
| X1 = sK128(X0)
| ( X0 != sK126
& X1 = X0 )
| ? [X2] :
( X1 = sK122(sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))))
& X0 = sK121(sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK123(sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))))
& X0 = sK122(sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK121(sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))))
& X0 = sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))))
& X0 = sK119(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK119(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))))
& X0 = sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))
& X0 = sK117(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK117(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))))
& X0 = sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))
& X0 = sK115(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK115(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))))
& X0 = sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))
& X0 = sK113(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK113(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))))
& X0 = sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))
& X0 = sK111(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK111(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))))
& X0 = sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))
& X0 = sK109(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK109(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))))
& X0 = sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))
& X0 = sK107(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK107(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))))
& X0 = sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))
& X0 = sK105(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK105(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))))
& X0 = sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))
& X0 = sK103(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK103(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))))
& X0 = sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))
& X0 = sK101(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK101(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))))
& X0 = sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))
& X0 = sK99(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK99(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))))
& X0 = sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))
& X0 = sK97(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK97(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))))
& X0 = sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))
& X0 = sK95(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK95(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))))
& X0 = sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))
& X0 = sK93(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK93(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))))
& X0 = sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))
& X0 = sK91(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK91(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))))
& X0 = sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))
& X0 = sK89(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK89(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))))
& X0 = sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))
& X0 = sK87(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK87(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))))
& X0 = sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))
& X0 = sK85(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK85(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))))
& X0 = sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))
& X0 = sK83(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))) )
| ? [X2] :
( X1 = sK83(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))))
& X0 = sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))) )
| ? [X2] :
( X1 = sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))
& X0 = sK81(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))) )
| ? [X2] :
( X1 = sK81(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))))
& X0 = sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))) )
| ? [X2] :
( X1 = sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))
& X0 = sK79(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))) )
| ? [X2] :
( X1 = sK79(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))))
& X0 = sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))) )
| ? [X2] :
( X1 = sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))
& X0 = sK77(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))) )
| ? [X2] :
( X1 = sK77(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))))
& X0 = sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))) )
| ? [X2] :
( X1 = sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))
& X0 = sK75(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))) )
| ? [X2] :
( X1 = sK75(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))))
& X0 = sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))) )
| ? [X2] :
( X1 = sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))
& X0 = sK73(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))) )
| ? [X2] :
( X1 = sK73(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))))
& X0 = sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))) )
| ? [X2] :
( X1 = sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))
& X0 = sK71(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))) )
| ? [X2] :
( X1 = sK71(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))))
& X0 = sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))) )
| ? [X2] :
( X1 = sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))
& X0 = sK69(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))) )
| ? [X2] :
( X1 = sK69(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))))
& X0 = sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))) )
| ? [X2] :
( X1 = sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))
& X0 = sK67(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))) )
| ? [X2] :
( X1 = sK67(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))))
& X0 = sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))) )
| ? [X2] :
( X1 = sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))
& X0 = sK65(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))) )
| ? [X2] :
( X1 = sK65(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))))
& X0 = sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))) )
| ? [X2] :
( X1 = sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))
& X0 = sK63(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))) )
| ? [X2] :
( X1 = sK63(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))))
& X0 = sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))) )
| ? [X2] :
( X1 = sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))
& X0 = sK61(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))) )
| ? [X2] :
( X1 = sK61(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))))
& X0 = sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))) )
| ? [X2] :
( X1 = sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))
& X0 = sK59(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))) )
| ? [X2] :
( X1 = sK59(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))))
& X0 = sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))) )
| ? [X2] :
( X1 = sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))
& X0 = sK57(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))) )
| ? [X2] :
( X1 = sK57(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))))
& X0 = sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))) )
| ? [X2] :
( X1 = sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))
& X0 = sK55(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))) )
| ? [X2] :
( X1 = sK55(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))))
& X0 = sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))) )
| ? [X2] :
( X1 = sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))
& X0 = sK53(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))) )
| ? [X2] :
( X1 = sK53(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))))
& X0 = sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))) )
| ? [X2] :
( X1 = sK52(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))
& X0 = sK51(sK50(sK48(sK46(sK44(sK42(sK128(X2))))))) )
| ? [X2] :
( X1 = sK51(sK50(sK48(sK46(sK44(sK42(sK128(X2)))))))
& X0 = sK50(sK48(sK46(sK44(sK42(sK128(X2)))))) )
| ? [X2] :
( X1 = sK50(sK48(sK46(sK44(sK42(sK128(X2))))))
& X0 = sK49(sK48(sK46(sK44(sK42(sK128(X2)))))) )
| ? [X2] :
( X1 = sK49(sK48(sK46(sK44(sK42(sK128(X2))))))
& X0 = sK48(sK46(sK44(sK42(sK128(X2))))) )
| ? [X2] :
( X1 = sK48(sK46(sK44(sK42(sK128(X2)))))
& X0 = sK47(sK46(sK44(sK42(sK128(X2))))) )
| ? [X2] :
( X1 = sK47(sK46(sK44(sK42(sK128(X2)))))
& X0 = sK46(sK44(sK42(sK128(X2)))) )
| ? [X2] :
( X1 = sK46(sK44(sK42(sK128(X2))))
& X0 = sK45(sK44(sK42(sK128(X2)))) )
| ? [X2] :
( X1 = sK45(sK44(sK42(sK128(X2))))
& X0 = sK44(sK42(sK128(X2))) )
| ? [X2] :
( X1 = sK44(sK42(sK128(X2)))
& X0 = sK43(sK42(sK128(X2))) )
| ? [X2] :
( X1 = sK43(sK42(sK128(X2)))
& X0 = sK42(sK128(X2)) )
| ? [X2] :
( X1 = sK42(sK128(X2))
& X0 = sK41(sK128(X2)) )
| ? [X2] :
( X1 = sK41(sK128(X2))
& X0 = sK128(X2) )
| ( X1 = sK126
& X0 = sK126 )
| ( X1 = sK126
& X0 = sK125 )
| ( X1 = sK127
& X0 = sK124 )
| ( X1 = sK126
& X0 = sK124 )
| ( X1 = sK125
& X0 = sK124 )
| ( X1 != sK126
& X1 != sK125
& X1 != sK124
& ( X1 != sK125
| X0 != sK127 )
& ( X1 != sK124
| X0 != sK127 ) ) ) ) ).
%------ Positive definition of sP40
fof(lit_def_001,axiom,
! [X0] :
( sP40(X0)
<=> ? [X1] : X0 = sK128(X1) ) ).
%------ Positive definition of sP39
fof(lit_def_002,axiom,
! [X0] :
( sP39(X0)
<=> ? [X1] : X0 = sK42(sK128(X1)) ) ).
%------ Positive definition of p5
fof(lit_def_003,axiom,
! [X0] :
( p5(X0)
<=> $false ) ).
%------ Positive definition of p4
fof(lit_def_004,axiom,
! [X0] :
( p4(X0)
<=> $false ) ).
%------ Positive definition of p3
fof(lit_def_005,axiom,
! [X0] :
( p3(X0)
<=> $false ) ).
%------ Positive definition of sP38
fof(lit_def_006,axiom,
! [X0] :
( sP38(X0)
<=> ? [X1] : X0 = sK44(sK42(sK128(X1))) ) ).
%------ Positive definition of p7
fof(lit_def_007,axiom,
! [X0] :
( p7(X0)
<=> $false ) ).
%------ Positive definition of p6
fof(lit_def_008,axiom,
! [X0] :
( p6(X0)
<=> $false ) ).
%------ Positive definition of sP37
fof(lit_def_009,axiom,
! [X0] :
( sP37(X0)
<=> ? [X1] : X0 = sK46(sK44(sK42(sK128(X1)))) ) ).
%------ Positive definition of p9
fof(lit_def_010,axiom,
! [X0] :
( p9(X0)
<=> $false ) ).
%------ Positive definition of p8
fof(lit_def_011,axiom,
! [X0] :
( p8(X0)
<=> $false ) ).
%------ Positive definition of sP36
fof(lit_def_012,axiom,
! [X0] :
( sP36(X0)
<=> ? [X1] : X0 = sK48(sK46(sK44(sK42(sK128(X1))))) ) ).
%------ Positive definition of p11
fof(lit_def_013,axiom,
! [X0] :
( p11(X0)
<=> $false ) ).
%------ Positive definition of p10
fof(lit_def_014,axiom,
! [X0] :
( p10(X0)
<=> $false ) ).
%------ Positive definition of sP35
fof(lit_def_015,axiom,
! [X0] :
( sP35(X0)
<=> ? [X1] : X0 = sK50(sK48(sK46(sK44(sK42(sK128(X1)))))) ) ).
%------ Positive definition of p13
fof(lit_def_016,axiom,
! [X0] :
( p13(X0)
<=> $false ) ).
%------ Positive definition of p12
fof(lit_def_017,axiom,
! [X0] :
( p12(X0)
<=> $false ) ).
%------ Positive definition of sP34
fof(lit_def_018,axiom,
! [X0] :
( sP34(X0)
<=> ? [X1] : X0 = sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))) ) ).
%------ Positive definition of p15
fof(lit_def_019,axiom,
! [X0] :
( p15(X0)
<=> $false ) ).
%------ Positive definition of p14
fof(lit_def_020,axiom,
! [X0] :
( p14(X0)
<=> $false ) ).
%------ Positive definition of sP33
fof(lit_def_021,axiom,
! [X0] :
( sP33(X0)
<=> ? [X1] : X0 = sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))) ) ).
%------ Positive definition of p17
fof(lit_def_022,axiom,
! [X0] :
( p17(X0)
<=> $false ) ).
%------ Positive definition of p16
fof(lit_def_023,axiom,
! [X0] :
( p16(X0)
<=> $false ) ).
%------ Positive definition of sP32
fof(lit_def_024,axiom,
! [X0] :
( sP32(X0)
<=> ? [X1] : X0 = sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))) ) ).
%------ Positive definition of p19
fof(lit_def_025,axiom,
! [X0] :
( p19(X0)
<=> $false ) ).
%------ Positive definition of p18
fof(lit_def_026,axiom,
! [X0] :
( p18(X0)
<=> $false ) ).
%------ Positive definition of sP31
fof(lit_def_027,axiom,
! [X0] :
( sP31(X0)
<=> ? [X1] : X0 = sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))) ) ).
%------ Positive definition of p21
fof(lit_def_028,axiom,
! [X0] :
( p21(X0)
<=> $false ) ).
%------ Positive definition of p20
fof(lit_def_029,axiom,
! [X0] :
( p20(X0)
<=> $false ) ).
%------ Positive definition of sP30
fof(lit_def_030,axiom,
! [X0] :
( sP30(X0)
<=> ? [X1] : X0 = sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))) ) ).
%------ Positive definition of p23
fof(lit_def_031,axiom,
! [X0] :
( p23(X0)
<=> $false ) ).
%------ Positive definition of p22
fof(lit_def_032,axiom,
! [X0] :
( p22(X0)
<=> $false ) ).
%------ Positive definition of sP29
fof(lit_def_033,axiom,
! [X0] :
( sP29(X0)
<=> ? [X1] : X0 = sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))) ) ).
%------ Positive definition of p25
fof(lit_def_034,axiom,
! [X0] :
( p25(X0)
<=> $false ) ).
%------ Positive definition of p24
fof(lit_def_035,axiom,
! [X0] :
( p24(X0)
<=> $false ) ).
%------ Positive definition of sP28
fof(lit_def_036,axiom,
! [X0] :
( sP28(X0)
<=> ? [X1] : X0 = sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))) ) ).
%------ Positive definition of p27
fof(lit_def_037,axiom,
! [X0] :
( p27(X0)
<=> $false ) ).
%------ Positive definition of p26
fof(lit_def_038,axiom,
! [X0] :
( p26(X0)
<=> $false ) ).
%------ Positive definition of sP27
fof(lit_def_039,axiom,
! [X0] :
( sP27(X0)
<=> ? [X1] : X0 = sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))) ) ).
%------ Positive definition of p29
fof(lit_def_040,axiom,
! [X0] :
( p29(X0)
<=> $false ) ).
%------ Positive definition of p28
fof(lit_def_041,axiom,
! [X0] :
( p28(X0)
<=> $false ) ).
%------ Positive definition of sP26
fof(lit_def_042,axiom,
! [X0] :
( sP26(X0)
<=> ? [X1] : X0 = sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))) ) ).
%------ Positive definition of p31
fof(lit_def_043,axiom,
! [X0] :
( p31(X0)
<=> $false ) ).
%------ Positive definition of p30
fof(lit_def_044,axiom,
! [X0] :
( p30(X0)
<=> $false ) ).
%------ Positive definition of sP25
fof(lit_def_045,axiom,
! [X0] :
( sP25(X0)
<=> ? [X1] : X0 = sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))) ) ).
%------ Positive definition of p33
fof(lit_def_046,axiom,
! [X0] :
( p33(X0)
<=> $false ) ).
%------ Positive definition of p32
fof(lit_def_047,axiom,
! [X0] :
( p32(X0)
<=> $false ) ).
%------ Positive definition of sP24
fof(lit_def_048,axiom,
! [X0] :
( sP24(X0)
<=> ? [X1] : X0 = sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))) ) ).
%------ Positive definition of p35
fof(lit_def_049,axiom,
! [X0] :
( p35(X0)
<=> $false ) ).
%------ Positive definition of p34
fof(lit_def_050,axiom,
! [X0] :
( p34(X0)
<=> $false ) ).
%------ Positive definition of sP23
fof(lit_def_051,axiom,
! [X0] :
( sP23(X0)
<=> ? [X1] : X0 = sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))) ) ).
%------ Positive definition of p37
fof(lit_def_052,axiom,
! [X0] :
( p37(X0)
<=> $false ) ).
%------ Positive definition of p36
fof(lit_def_053,axiom,
! [X0] :
( p36(X0)
<=> $false ) ).
%------ Positive definition of sP22
fof(lit_def_054,axiom,
! [X0] :
( sP22(X0)
<=> ? [X1] : X0 = sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))) ) ).
%------ Positive definition of p39
fof(lit_def_055,axiom,
! [X0] :
( p39(X0)
<=> $false ) ).
%------ Positive definition of p38
fof(lit_def_056,axiom,
! [X0] :
( p38(X0)
<=> $false ) ).
%------ Positive definition of sP21
fof(lit_def_057,axiom,
! [X0] :
( sP21(X0)
<=> ? [X1] : X0 = sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))) ) ).
%------ Positive definition of p41
fof(lit_def_058,axiom,
! [X0] :
( p41(X0)
<=> $false ) ).
%------ Positive definition of p40
fof(lit_def_059,axiom,
! [X0] :
( p40(X0)
<=> $false ) ).
%------ Positive definition of sP20
fof(lit_def_060,axiom,
! [X0] :
( sP20(X0)
<=> ? [X1] : X0 = sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))) ) ).
%------ Positive definition of p43
fof(lit_def_061,axiom,
! [X0] :
( p43(X0)
<=> $false ) ).
%------ Positive definition of p42
fof(lit_def_062,axiom,
! [X0] :
( p42(X0)
<=> $false ) ).
%------ Positive definition of sP19
fof(lit_def_063,axiom,
! [X0] :
( sP19(X0)
<=> ? [X1] : X0 = sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))) ) ).
%------ Positive definition of p45
fof(lit_def_064,axiom,
! [X0] :
( p45(X0)
<=> $false ) ).
%------ Positive definition of p44
fof(lit_def_065,axiom,
! [X0] :
( p44(X0)
<=> $false ) ).
%------ Positive definition of sP18
fof(lit_def_066,axiom,
! [X0] :
( sP18(X0)
<=> ? [X1] : X0 = sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))) ) ).
%------ Positive definition of p47
fof(lit_def_067,axiom,
! [X0] :
( p47(X0)
<=> $false ) ).
%------ Positive definition of p46
fof(lit_def_068,axiom,
! [X0] :
( p46(X0)
<=> $false ) ).
%------ Positive definition of sP17
fof(lit_def_069,axiom,
! [X0] :
( sP17(X0)
<=> ? [X1] : X0 = sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))) ) ).
%------ Positive definition of p49
fof(lit_def_070,axiom,
! [X0] :
( p49(X0)
<=> $false ) ).
%------ Positive definition of p48
fof(lit_def_071,axiom,
! [X0] :
( p48(X0)
<=> $false ) ).
%------ Positive definition of sP16
fof(lit_def_072,axiom,
! [X0] :
( sP16(X0)
<=> ? [X1] : X0 = sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))) ) ).
%------ Positive definition of p51
fof(lit_def_073,axiom,
! [X0] :
( p51(X0)
<=> $false ) ).
%------ Positive definition of p50
fof(lit_def_074,axiom,
! [X0] :
( p50(X0)
<=> $false ) ).
%------ Positive definition of sP15
fof(lit_def_075,axiom,
! [X0] :
( sP15(X0)
<=> ? [X1] : X0 = sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))) ) ).
%------ Positive definition of p53
fof(lit_def_076,axiom,
! [X0] :
( p53(X0)
<=> $false ) ).
%------ Positive definition of p52
fof(lit_def_077,axiom,
! [X0] :
( p52(X0)
<=> $false ) ).
%------ Positive definition of sP14
fof(lit_def_078,axiom,
! [X0] :
( sP14(X0)
<=> ? [X1] : X0 = sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))) ) ).
%------ Positive definition of p55
fof(lit_def_079,axiom,
! [X0] :
( p55(X0)
<=> $false ) ).
%------ Positive definition of p54
fof(lit_def_080,axiom,
! [X0] :
( p54(X0)
<=> $false ) ).
%------ Positive definition of sP13
fof(lit_def_081,axiom,
! [X0] :
( sP13(X0)
<=> ? [X1] : X0 = sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))) ) ).
%------ Positive definition of p57
fof(lit_def_082,axiom,
! [X0] :
( p57(X0)
<=> $false ) ).
%------ Positive definition of p56
fof(lit_def_083,axiom,
! [X0] :
( p56(X0)
<=> $false ) ).
%------ Positive definition of sP12
fof(lit_def_084,axiom,
! [X0] :
( sP12(X0)
<=> ? [X1] : X0 = sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p59
fof(lit_def_085,axiom,
! [X0] :
( p59(X0)
<=> $false ) ).
%------ Positive definition of p58
fof(lit_def_086,axiom,
! [X0] :
( p58(X0)
<=> $false ) ).
%------ Positive definition of sP11
fof(lit_def_087,axiom,
! [X0] :
( sP11(X0)
<=> ? [X1] : X0 = sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p61
fof(lit_def_088,axiom,
! [X0] :
( p61(X0)
<=> $false ) ).
%------ Positive definition of p60
fof(lit_def_089,axiom,
! [X0] :
( p60(X0)
<=> $false ) ).
%------ Positive definition of sP10
fof(lit_def_090,axiom,
! [X0] :
( sP10(X0)
<=> ? [X1] : X0 = sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p63
fof(lit_def_091,axiom,
! [X0] :
( p63(X0)
<=> $false ) ).
%------ Positive definition of p62
fof(lit_def_092,axiom,
! [X0] :
( p62(X0)
<=> $false ) ).
%------ Positive definition of sP9
fof(lit_def_093,axiom,
! [X0] :
( sP9(X0)
<=> ? [X1] : X0 = sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p65
fof(lit_def_094,axiom,
! [X0] :
( p65(X0)
<=> $false ) ).
%------ Positive definition of p64
fof(lit_def_095,axiom,
! [X0] :
( p64(X0)
<=> $false ) ).
%------ Positive definition of sP8
fof(lit_def_096,axiom,
! [X0] :
( sP8(X0)
<=> ? [X1] : X0 = sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p67
fof(lit_def_097,axiom,
! [X0] :
( p67(X0)
<=> $false ) ).
%------ Positive definition of p66
fof(lit_def_098,axiom,
! [X0] :
( p66(X0)
<=> $false ) ).
%------ Positive definition of sP7
fof(lit_def_099,axiom,
! [X0] :
( sP7(X0)
<=> ? [X1] : X0 = sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p69
fof(lit_def_100,axiom,
! [X0] :
( p69(X0)
<=> $false ) ).
%------ Positive definition of p68
fof(lit_def_101,axiom,
! [X0] :
( p68(X0)
<=> $false ) ).
%------ Positive definition of sP6
fof(lit_def_102,axiom,
! [X0] :
( sP6(X0)
<=> ? [X1] : X0 = sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p71
fof(lit_def_103,axiom,
! [X0] :
( p71(X0)
<=> $false ) ).
%------ Positive definition of p70
fof(lit_def_104,axiom,
! [X0] :
( p70(X0)
<=> $false ) ).
%------ Positive definition of sP5
fof(lit_def_105,axiom,
! [X0] :
( sP5(X0)
<=> ? [X1] : X0 = sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p73
fof(lit_def_106,axiom,
! [X0] :
( p73(X0)
<=> $false ) ).
%------ Positive definition of p72
fof(lit_def_107,axiom,
! [X0] :
( p72(X0)
<=> $false ) ).
%------ Positive definition of sP4
fof(lit_def_108,axiom,
! [X0] :
( sP4(X0)
<=> ? [X1] : X0 = sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p75
fof(lit_def_109,axiom,
! [X0] :
( p75(X0)
<=> $false ) ).
%------ Positive definition of p74
fof(lit_def_110,axiom,
! [X0] :
( p74(X0)
<=> $false ) ).
%------ Positive definition of sP3
fof(lit_def_111,axiom,
! [X0] :
( sP3(X0)
<=> ? [X1] : X0 = sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p77
fof(lit_def_112,axiom,
! [X0] :
( p77(X0)
<=> $false ) ).
%------ Positive definition of p76
fof(lit_def_113,axiom,
! [X0] :
( p76(X0)
<=> $false ) ).
%------ Positive definition of sP2
fof(lit_def_114,axiom,
! [X0] :
( sP2(X0)
<=> ? [X1] : X0 = sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p79
fof(lit_def_115,axiom,
! [X0] :
( p79(X0)
<=> $false ) ).
%------ Positive definition of p78
fof(lit_def_116,axiom,
! [X0] :
( p78(X0)
<=> $false ) ).
%------ Positive definition of sP1
fof(lit_def_117,axiom,
! [X0] :
( sP1(X0)
<=> ? [X1] : X0 = sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1)))))))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p81
fof(lit_def_118,axiom,
! [X0] :
( p81(X0)
<=> $false ) ).
%------ Positive definition of p80
fof(lit_def_119,axiom,
! [X0] :
( p80(X0)
<=> $false ) ).
%------ Positive definition of sP0
fof(lit_def_120,axiom,
! [X0] :
( sP0(X0)
<=> ? [X1] : X0 = sK120(sK118(sK116(sK114(sK112(sK110(sK108(sK106(sK104(sK102(sK100(sK98(sK96(sK94(sK92(sK90(sK88(sK86(sK84(sK82(sK80(sK78(sK76(sK74(sK72(sK70(sK68(sK66(sK64(sK62(sK60(sK58(sK56(sK54(sK52(sK50(sK48(sK46(sK44(sK42(sK128(X1))))))))))))))))))))))))))))))))))))))))) ) ).
%------ Positive definition of p83
fof(lit_def_121,axiom,
! [X0] :
( p83(X0)
<=> $false ) ).
%------ Positive definition of p82
fof(lit_def_122,axiom,
! [X0] :
( p82(X0)
<=> $false ) ).
%------ Positive definition of p85
fof(lit_def_123,axiom,
! [X0] :
( p85(X0)
<=> $false ) ).
%------ Positive definition of p84
fof(lit_def_124,axiom,
! [X0] :
( p84(X0)
<=> $false ) ).
%------ Positive definition of p90
fof(lit_def_125,axiom,
! [X0] :
( p90(X0)
<=> X0 = sK125 ) ).
%------ Positive definition of p1
fof(lit_def_126,axiom,
! [X0] :
( p1(X0)
<=> X0 = sK126 ) ).
%------ Positive definition of p2
fof(lit_def_127,axiom,
! [X0] :
( p2(X0)
<=> $false ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL687+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 00:21:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.14/0.39 Running model finding
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 3.51/1.28 % SZS status Started for theBenchmark.p
% 3.51/1.28 % SZS status CounterSatisfiable for theBenchmark.p
% 3.51/1.28
% 3.51/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/1.28
% 3.51/1.28 ------ iProver source info
% 3.51/1.28
% 3.51/1.28 git: date: 2026-07-19 20:42:38 +0200
% 3.51/1.28 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/1.28 git: non_committed_changes: false
% 3.51/1.28
% 3.51/1.28 ------ Parsing...
% 3.51/1.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.51/1.28 ------ Proving...
% 3.51/1.28 ------ Problem Properties
% 3.51/1.28
% 3.51/1.28
% 3.51/1.28 clauses 302
% 3.51/1.28 conjectures 13
% 3.51/1.28 EPR 9
% 3.51/1.28 Horn 302
% 3.51/1.28 unary 6
% 3.51/1.28 binary 127
% 3.51/1.28 lits 935
% 3.51/1.28 lits eq 0
% 3.51/1.28 fd_pure 0
% 3.51/1.28 fd_pseudo 0
% 3.51/1.28 fd_cond 0
% 3.51/1.28 fd_pseudo_cond 0
% 3.51/1.28 AC symbols 0
% 3.51/1.28
% 3.51/1.28 ------ Schedule dynamic 5 is on
% 3.51/1.29
% 3.51/1.29 ------ no equalities: superposition off
% 3.51/1.29
% 3.51/1.29 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/1.29
% 3.51/1.29
% 3.51/1.29 ------
% 3.51/1.29 Current options:
% 3.51/1.29 ------
% 3.51/1.29
% 3.51/1.29 ------ Input Options
% 3.51/1.29
% 3.51/1.29 --out_options all
% 3.51/1.29 --tptp_safe_out true
% 3.51/1.29 --problem_path ""
% 3.51/1.29 --include_path ""
% 3.51/1.29 --clausifier res/vclausify_rel
% 3.51/1.29 --clausifier_options --mode clausify -t 101.67 -updr off
% 3.51/1.29 --stdin false
% 3.51/1.29 --proof_out true
% 3.51/1.29 --proof_dot_file ""
% 3.51/1.29 --proof_reduce_dot []
% 3.51/1.29 --suppress_sat_res false
% 3.51/1.29 --suppress_unsat_res true
% 3.51/1.29 --stats_out none
% 3.51/1.29 --stats_mem false
% 3.51/1.29 --theory_stats_out false
% 3.51/1.29
% 3.51/1.29 ------ General Options
% 3.51/1.29
% 3.51/1.29 --fof false
% 3.51/1.29 --time_out_real 305.
% 3.51/1.29 --time_out_virtual -1.
% 3.51/1.29 --rnd_seed 13
% 3.51/1.29 --symbol_type_check false
% 3.51/1.29 --clausify_out false
% 3.51/1.29 --sig_cnt_out false
% 3.51/1.29 --trig_cnt_out false
% 3.51/1.29 --trig_cnt_out_tolerance 1.
% 3.51/1.29 --trig_cnt_out_sk_spl false
% 3.51/1.29 --abstr_cl_out false
% 3.51/1.29
% 3.51/1.29 ------ Interactive Mode
% 3.51/1.29
% 3.51/1.29 --interactive_mode false
% 3.51/1.29 --external_ip_address ""
% 3.51/1.29 --external_port 0
% 3.51/1.29
% 3.51/1.29 ------ Global Options
% 3.51/1.29
% 3.51/1.29 --schedule default
% 3.51/1.29 --add_important_lit false
% 3.51/1.29 --prop_solver_per_cl 500
% 3.51/1.29 --subs_bck_mult 8
% 3.51/1.29 --min_unsat_core false
% 3.51/1.29 --soft_assumptions false
% 3.51/1.29 --soft_lemma_size 3
% 3.51/1.29 --prop_impl_unit_size 0
% 3.51/1.29 --prop_impl_unit []
% 3.51/1.29 --share_sel_clauses true
% 3.51/1.29 --reset_solvers false
% 3.51/1.29 --bc_imp_inh [conj_cone]
% 3.51/1.29 --conj_cone_tolerance 3.
% 3.51/1.29 --extra_neg_conj none
% 3.51/1.29 --large_theory_mode true
% 3.51/1.29 --prolific_symb_bound 200
% 3.51/1.29 --lt_threshold 2000
% 3.51/1.29 --clause_weak_htbl true
% 3.51/1.29 --gc_record_bc_elim false
% 3.51/1.29
% 3.51/1.29 ------ Preprocessing Options
% 3.51/1.29
% 3.51/1.29 --preprocessing_flag false
% 3.51/1.29 --time_out_prep_mult 0.1
% 3.51/1.29 --splitting_mode input
% 3.51/1.29 --splitting_grd true
% 3.51/1.29 --splitting_cvd false
% 3.51/1.29 --splitting_cvd_svl false
% 3.51/1.29 --splitting_nvd 32
% 3.51/1.29 --sub_typing false
% 3.51/1.29 --prep_eq_flat_conj false
% 3.51/1.29 --prep_ineq_split false
% 3.51/1.29 --prep_eq_flat_all_gr false
% 3.51/1.29 --prep_gs_sim true
% 3.51/1.29 --prep_unflatten true
% 3.51/1.29 --prep_res_sim true
% 3.51/1.29 --prep_sup_sim_all true
% 3.51/1.29 --prep_sup_sim_sup false
% 3.51/1.29 --prep_upred true
% 3.51/1.29 --prep_well_definedness true
% 3.51/1.29 --prep_sem_filter exhaustive
% 3.51/1.29 --prep_sem_filter_out false
% 3.51/1.29 --pred_elim true
% 3.51/1.29 --res_sim_input true
% 3.51/1.29 --eq_ax_congr_red true
% 3.51/1.29 --pure_diseq_elim true
% 3.51/1.29 --brand_transform false
% 3.51/1.29 --non_eq_to_eq false
% 3.51/1.29 --prep_eq_proxy false
% 3.51/1.29 --prep_def_merge true
% 3.51/1.29 --prep_def_merge_prop_impl false
% 3.51/1.29 --prep_def_merge_mbd true
% 3.51/1.29 --prep_def_merge_tr_red false
% 3.51/1.29 --prep_def_merge_tr_cl false
% 3.51/1.29 --smt_preprocessing false
% 3.51/1.29 --smt_ac_axioms fast
% 3.51/1.29 --preprocessed_out false
% 3.51/1.29 --preprocessed_stats false
% 3.51/1.29
% 3.51/1.29 ------ Abstraction refinement Options
% 3.51/1.29
% 3.51/1.29 --abstr_ref []
% 3.51/1.29 --abstr_ref_prep false
% 3.51/1.29 --abstr_ref_until_sat false
% 3.51/1.29 --abstr_ref_sig_restrict funpre
% 3.51/1.29 --abstr_ref_af_restrict_to_split_sk false
% 3.51/1.29 --abstr_ref_under []
% 3.51/1.29
% 3.51/1.29 ------ SAT Options
% 3.51/1.29
% 3.51/1.29 --sat_mode false
% 3.51/1.29 --sat_fm_restart_options ""
% 3.51/1.29 --sat_gr_def false
% 3.51/1.29 --sat_epr_types true
% 3.51/1.29 --sat_non_cyclic_types false
% 3.51/1.29 --sat_finite_models false
% 3.51/1.29 --sat_fm_lemmas false
% 3.51/1.29 --sat_fm_prep false
% 3.51/1.29 --sat_fm_uc_incr true
% 3.51/1.29 --sat_out_model pos
% 3.51/1.29 --sat_out_clauses false
% 3.51/1.29
% 3.51/1.29 ------ QBF Options
% 3.51/1.29
% 3.51/1.29 --qbf_mode false
% 3.51/1.29 --qbf_elim_univ false
% 3.51/1.29 --qbf_dom_inst none
% 3.51/1.29 --qbf_dom_pre_inst false
% 3.51/1.29 --qbf_sk_in false
% 3.51/1.29 --qbf_pred_elim true
% 3.51/1.29 --qbf_split 512
% 3.51/1.29
% 3.51/1.29 ------ BMC1 Options
% 3.51/1.29
% 3.51/1.29 --bmc1_incremental false
% 3.51/1.29 --bmc1_axioms reachable_all
% 3.51/1.29 --bmc1_min_bound 0
% 3.51/1.29 --bmc1_max_bound -1
% 3.51/1.29 --bmc1_max_bound_default -1
% 3.51/1.29 --bmc1_symbol_reachability true
% 3.51/1.29 --bmc1_property_lemmas false
% 3.51/1.29 --bmc1_k_induction false
% 3.51/1.29 --bmc1_non_equiv_states false
% 3.51/1.29 --bmc1_deadlock false
% 3.51/1.29 --bmc1_ucm false
% 3.51/1.29 --bmc1_add_unsat_core none
% 3.51/1.29 --bmc1_unsat_core_children false
% 3.51/1.29 --bmc1_unsat_core_extrapolate_axioms false
% 3.51/1.29 --bmc1_out_stat full
% 3.51/1.29 --bmc1_ground_init false
% 3.51/1.29 --bmc1_pre_inst_next_state false
% 3.51/1.29 --bmc1_pre_inst_state false
% 3.51/1.29 --bmc1_pre_inst_reach_state false
% 3.51/1.29 --bmc1_out_unsat_core false
% 3.51/1.29 --bmc1_aig_witness_out false
% 3.51/1.29 --bmc1_verbose false
% 3.51/1.29 --bmc1_dump_clauses_tptp false
% 3.51/1.29 --bmc1_dump_unsat_core_tptp false
% 3.51/1.29 --bmc1_dump_file -
% 3.51/1.29 --bmc1_ucm_expand_uc_limit 128
% 3.51/1.29 --bmc1_ucm_n_expand_iterations 6
% 3.51/1.29 --bmc1_ucm_extend_mode 1
% 3.51/1.29 --bmc1_ucm_init_mode 2
% 3.51/1.29 --bmc1_ucm_cone_mode none
% 3.51/1.29 --bmc1_ucm_reduced_relation_type 0
% 3.51/1.29 --bmc1_ucm_relax_model 4
% 3.51/1.29 --bmc1_ucm_full_tr_after_sat true
% 3.51/1.29 --bmc1_ucm_expand_neg_assumptions false
% 3.51/1.29 --bmc1_ucm_layered_model none
% 3.51/1.29 --bmc1_ucm_max_lemma_size 10
% 3.51/1.29
% 3.51/1.29 ------ AIG Options
% 3.51/1.29
% 3.51/1.29 --aig_mode false
% 3.51/1.29
% 3.51/1.29 ------ Instantiation Options
% 3.51/1.29
% 3.51/1.29 --instantiation_flag true
% 3.51/1.29 --inst_sos_flag false
% 3.51/1.29 --inst_sos_phase true
% 3.51/1.29 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.51/1.29 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.51/1.29 --inst_lit_sel_side none
% 3.51/1.29 --inst_solver_per_active 1400
% 3.51/1.29 --inst_solver_calls_frac 1.
% 3.51/1.29 --inst_to_smt_solver true
% 3.51/1.29 --inst_passive_queue_type priority_queues
% 3.51/1.29 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.51/1.29 --inst_passive_queues_freq [25;2]
% 3.51/1.29 --inst_dismatching true
% 3.51/1.29 --inst_eager_unprocessed_to_passive true
% 3.51/1.29 --inst_unprocessed_bound 1000
% 3.51/1.29 --inst_prop_sim_given true
% 3.51/1.29 --inst_prop_sim_new false
% 3.51/1.29 --inst_subs_new false
% 3.51/1.29 --inst_eq_res_simp false
% 3.51/1.29 --inst_subs_given false
% 3.51/1.29 --inst_orphan_elimination true
% 3.51/1.29 --inst_learning_loop_flag true
% 3.51/1.29 --inst_learning_start 3000
% 3.51/1.29 --inst_learning_factor 2
% 3.51/1.29 --inst_start_prop_sim_after_learn 3
% 3.51/1.29 --inst_sel_renew solver
% 3.51/1.29 --inst_lit_activity_flag true
% 3.51/1.29 --inst_restr_to_given false
% 3.51/1.29 --inst_activity_threshold 500
% 3.51/1.29
% 3.51/1.29 ------ Resolution Options
% 3.51/1.29
% 3.51/1.29 --resolution_flag false
% 3.51/1.29 --res_lit_sel adaptive
% 3.51/1.29 --res_lit_sel_side none
% 3.51/1.29 --res_ordering kbo
% 3.51/1.29 --res_to_prop_solver active
% 3.51/1.29 --res_prop_simpl_new false
% 3.51/1.29 --res_prop_simpl_given true
% 3.51/1.29 --res_to_smt_solver true
% 3.51/1.29 --res_passive_queue_type priority_queues
% 3.51/1.29 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.51/1.29 --res_passive_queues_freq [15;5]
% 3.51/1.29 --res_forward_subs full
% 3.51/1.29 --res_backward_subs full
% 3.51/1.29 --res_forward_subs_resolution true
% 3.51/1.29 --res_backward_subs_resolution true
% 3.51/1.29 --res_orphan_elimination true
% 3.51/1.29 --res_time_limit 300.
% 3.51/1.29
% 3.51/1.29 ------ Superposition Options
% 3.51/1.29
% 3.51/1.29 --superposition_flag true
% 3.51/1.29 --sup_passive_queue_type priority_queues
% 3.51/1.29 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.51/1.29 --sup_passive_queues_freq [8;1;4;4]
% 3.51/1.29 --twee_lhs_weight 4
% 3.51/1.29 --sup_set_join false
% 3.51/1.29 --sup_set_join_goals true
% 3.51/1.29 --sup_set_join_limit 1000
% 3.51/1.29 --demod_completeness_check fast
% 3.51/1.29 --demod_use_ground true
% 3.51/1.29 --sup_unprocessed_bound 0
% 3.51/1.29 --sup_to_prop_solver passive
% 3.51/1.29 --sup_prop_simpl_new true
% 3.51/1.29 --sup_prop_simpl_given true
% 3.51/1.29 --sup_fun_splitting false
% 3.51/1.29 --sup_iter_deepening 2
% 3.51/1.29 --sup_restarts_mult 12
% 3.51/1.29 --sup_score sim_d_gen
% 3.51/1.29 --sup_share_score_frac 0.2
% 3.51/1.29 --sup_share_max_num_cl 500
% 3.51/1.29 --sup_ordering kbo
% 3.51/1.29 --sup_symb_ordering invfreq
% 3.51/1.29 --sup_term_weight default
% 3.51/1.29
% 3.51/1.29 ------ Superposition Simplification Setup
% 3.51/1.29
% 3.51/1.29 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 3.51/1.29 --sup_full_triv [SMTSimplify;PropSubs]
% 3.51/1.29 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.51/1.29 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.51/1.29 --sup_immed_triv []
% 3.51/1.29 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.51/1.29 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 3.51/1.29 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 3.51/1.29 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.51/1.29 --sup_input_triv [Unflattening;SMTSimplify]
% 3.51/1.29 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.51/1.29 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.51/1.29 --sup_full_fixpoint true
% 3.51/1.29 --sup_main_fixpoint true
% 3.51/1.29 --sup_immed_fixpoint false
% 3.51/1.29 --sup_input_fixpoint true
% 3.51/1.29 --sup_cache_sim none
% 3.51/1.29 --sup_smt_interval 500
% 3.51/1.29 --sup_bw_gjoin_interval 0
% 3.51/1.29
% 3.51/1.29 ------ Combination Options
% 3.51/1.29
% 3.51/1.29 --comb_mode clause_based
% 3.51/1.29 --comb_inst_mult 5
% 3.51/1.29 --comb_res_mult 1
% 3.51/1.29 --comb_sup_mult 1
% 3.51/1.29 --comb_sup_deep_mult 1
% 3.51/1.29
% 3.51/1.29 ------ Debug Options
% 3.51/1.29
% 3.51/1.29 --dbg_backtrace false
% 3.51/1.29 --dbg_dump_prop_clauses false
% 3.51/1.29 --dbg_dump_prop_clauses_file -
% 3.51/1.29 --dbg_out_stat false
% 3.51/1.29 --dbg_just_parse false
% 3.51/1.29
% 3.51/1.29
% 3.51/1.29
% 3.51/1.29
% 3.51/1.29 ------ Proving...
% 3.51/1.29
% 3.51/1.29
% 3.51/1.29 % SZS status CounterSatisfiable for theBenchmark.p
% 3.51/1.29
% 3.51/1.29 ------ Building Model...Done
% 3.51/1.29
% 3.51/1.29 %------ The model is defined over ground terms (initial term algebra).
% 3.51/1.29 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 3.51/1.29 %------ where \phi is a formula over the term algebra.
% 3.51/1.29 %------ If we have equality in the problem then it is also defined as a predicate above,
% 3.51/1.29 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.51/1.29 %------ See help for --sat_out_model for different model outputs.
% 3.51/1.29 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.51/1.29 %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.51/1.29 % SZS output start Model for theBenchmark.p
% See solution above
% 3.56/1.30
%------------------------------------------------------------------------------