%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 03:45:25 PM UTC 2026
% Result : Theorem 2.97s 1.27s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f179ERROR: Could not build tree for root c_7461ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] : c
<=> c )
& ( ? [X0] :
( c
& p(X0) )
<=> ( c
& ? [X0] : p(X0) ) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] : q(X0)
| ! [X0] : p(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ! [X0,X1,X3] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] : c
<=> c )
& ( ? [X0] :
( c
& p(X0) )
<=> ( c
& ? [X0] : p(X0) ) )
& ( ! [X0] :
( c
| p(X0) )
<=> ( c
| ! [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] : q(X0)
| ! [X0] : p(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( ~ g(X0)
& f(X0) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ! [X0,X1,X3] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X54] :
( p(X54)
=> c )
<=> ( ? [X55] : p(X55)
=> c ) )
& ( ! [X52] :
( c
=> p(X52) )
<=> ( c
=> ! [X53] : p(X53) ) )
& ( ? [X50] :
( p(X50)
=> c )
<=> ( ! [X51] : p(X51)
=> c ) )
& ( ? [X48] :
( c
=> p(X48) )
<=> ( c
=> ? [X49] : p(X49) ) )
& ( c
<=> c )
& ( c
<=> c )
& ( ? [X44] :
( c
& p(X44) )
<=> ( c
& ? [X45] : p(X45) ) )
& ( ! [X42] :
( c
| p(X42) )
<=> ( c
| ! [X43] : p(X43) ) )
& ( ~ ? [X39] : p(X39)
=> ! [X40] :
( ? [X41] : p(X41)
=> p(X40) ) )
& ( ! [X37] : p(X37)
=> ? [X38] : p(X38) )
& ! [X35] :
( ! [X36] : p(X36)
=> p(X35) )
& ( ? [X32] :
( q(X32)
& p(X32) )
=> ( ? [X34] : q(X34)
& ? [X33] : p(X33) ) )
& ? [X30] :
( p(X30)
=> ! [X31] : p(X31) )
& ( ? [X27] :
( q(X27)
| p(X27) )
<=> ( ? [X29] : q(X29)
| ? [X28] : p(X28) ) )
& ( ( ! [X25] : q(X25)
| ! [X24] : p(X24) )
=> ! [X26] :
( q(X26)
| p(X26) ) )
& ( ! [X21] :
( q(X21)
& p(X21) )
<=> ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) )
& ? [X19] :
! [X20] :
( ( p(X20)
=> q(X19) )
=> ( p(X19)
=> q(X19) ) )
& ( ( ( ! [X16] :
( f(X16)
=> h(X16) )
| ! [X15] :
( f(X15)
=> g(X15) ) )
& ( ! [X13] :
( ( g(X13)
& f(X13) )
=> h(X13) )
=> ? [X14] :
( ~ g(X14)
& f(X14) ) ) )
=> ( ! [X17] :
( ( h(X17)
& f(X17) )
=> g(X17) )
=> ? [X18] :
( ~ h(X18)
& g(X18)
& f(X18) ) ) )
& ( ( ! [X8,X9,X10] :
( ( r(X9,X10)
& r(X8,X9) )
=> r(X8,X10) )
& ! [X6,X7] :
( r(X6,X7)
=> r(X7,X6) ) )
=> ! [X11,X12] :
( r(X11,X12)
=> r(X11,X11) ) )
& ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ( ! [X54] :
( ~ p(X54)
| c )
<~> ( ! [X55] : ~ p(X55)
| c ) )
| ( ! [X52] :
( ~ c
| p(X52) )
<~> ( ~ c
| ! [X53] : p(X53) ) )
| ( ? [X50] :
( ~ p(X50)
| c )
<~> ( ? [X51] : ~ p(X51)
| c ) )
| ( ? [X48] :
( ~ c
| p(X48) )
<~> ( ~ c
| ? [X49] : p(X49) ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X44] :
( c
& p(X44) )
<~> ( c
& ? [X45] : p(X45) ) )
| ( ! [X42] :
( c
| p(X42) )
<~> ( c
| ! [X43] : p(X43) ) )
| ( ! [X39] : ~ p(X39)
& ? [X40] :
( ? [X41] : p(X41)
& ~ p(X40) ) )
| ( ! [X37] : p(X37)
& ! [X38] : ~ p(X38) )
| ? [X35] :
( ! [X36] : p(X36)
& ~ p(X35) )
| ( ? [X32] :
( q(X32)
& p(X32) )
& ( ! [X34] : ~ q(X34)
| ! [X33] : ~ p(X33) ) )
| ! [X30] :
( p(X30)
& ? [X31] : ~ p(X31) )
| ( ? [X27] :
( q(X27)
| p(X27) )
<~> ( ? [X29] : q(X29)
| ? [X28] : p(X28) ) )
| ( ( ! [X25] : q(X25)
| ! [X24] : p(X24) )
& ? [X26] :
( ~ q(X26)
& ~ p(X26) ) )
| ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) )
| ! [X19] :
? [X20] :
( ( ~ p(X20)
| q(X19) )
& p(X19)
& ~ q(X19) )
| ( ( ! [X16] :
( ~ f(X16)
| h(X16) )
| ! [X15] :
( ~ f(X15)
| g(X15) ) )
& ( ? [X13] :
( g(X13)
& f(X13)
& ~ h(X13) )
| ? [X14] :
( ~ g(X14)
& f(X14) ) )
& ! [X17] :
( ~ h(X17)
| ~ f(X17)
| g(X17) )
& ! [X18] :
( h(X18)
| ~ g(X18)
| ~ f(X18) ) )
| ( ! [X8,X9,X10] :
( ~ r(X9,X10)
| ~ r(X8,X9)
| r(X8,X10) )
& ! [X6,X7] :
( ~ r(X6,X7)
| r(X7,X6) )
& ? [X11,X12] :
( r(X11,X12)
& ~ r(X11,X11) ) )
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& ! [X0] :
( ( g(X0)
& f(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) ) )
& ! [X4] :
( ~ h(X4)
| ~ f(X4)
| g(X4) )
& ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X54] :
( ~ p(X54)
| c )
<~> ( ! [X55] : ~ p(X55)
| c ) )
| ( ! [X52] :
( ~ c
| p(X52) )
<~> ( ~ c
| ! [X53] : p(X53) ) )
| ( ? [X50] :
( ~ p(X50)
| c )
<~> ( ? [X51] : ~ p(X51)
| c ) )
| ( ? [X48] :
( ~ c
| p(X48) )
<~> ( ~ c
| ? [X49] : p(X49) ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X44] :
( c
& p(X44) )
<~> ( c
& ? [X45] : p(X45) ) )
| ( ! [X42] :
( c
| p(X42) )
<~> ( c
| ! [X43] : p(X43) ) )
| ( ! [X39] : ~ p(X39)
& ? [X40] :
( ? [X41] : p(X41)
& ~ p(X40) ) )
| ( ! [X37] : p(X37)
& ! [X38] : ~ p(X38) )
| ? [X35] :
( ! [X36] : p(X36)
& ~ p(X35) )
| ( ? [X32] :
( q(X32)
& p(X32) )
& ( ! [X34] : ~ q(X34)
| ! [X33] : ~ p(X33) ) )
| ! [X30] :
( p(X30)
& ? [X31] : ~ p(X31) )
| ( ? [X27] :
( q(X27)
| p(X27) )
<~> ( ? [X29] : q(X29)
| ? [X28] : p(X28) ) )
| ( ( ! [X25] : q(X25)
| ! [X24] : p(X24) )
& ? [X26] :
( ~ q(X26)
& ~ p(X26) ) )
| ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) )
| ! [X19] :
? [X20] :
( ( ~ p(X20)
| q(X19) )
& p(X19)
& ~ q(X19) )
| ( ( ! [X16] :
( ~ f(X16)
| h(X16) )
| ! [X15] :
( ~ f(X15)
| g(X15) ) )
& ( ? [X13] :
( g(X13)
& f(X13)
& ~ h(X13) )
| ? [X14] :
( ~ g(X14)
& f(X14) ) )
& ! [X17] :
( ~ h(X17)
| ~ f(X17)
| g(X17) )
& ! [X18] :
( h(X18)
| ~ g(X18)
| ~ f(X18) ) )
| ( ! [X8,X9,X10] :
( ~ r(X9,X10)
| ~ r(X8,X9)
| r(X8,X10) )
& ! [X6,X7] :
( ~ r(X6,X7)
| r(X7,X6) )
& ? [X11,X12] :
( r(X11,X12)
& ~ r(X11,X11) ) )
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& ! [X0] :
( ( g(X0)
& f(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) ) )
& ! [X4] :
( ~ h(X4)
| ~ f(X4)
| g(X4) )
& ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) ) ) ),
inference(flattening,[],[f4]) ).
fof(f28,plain,
( ~ sP16
| ! [X19] :
? [X20] :
( ( ~ p(X20)
| q(X19) )
& p(X19)
& ~ q(X19) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f29,plain,
( ~ sP16
| ! [X0] :
? [X1] :
( ( ~ p(X1)
| q(X0) )
& p(X0)
& ~ q(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
( ~ sP16
| ! [X0] :
( ( ~ p(sK19(X0))
| q(X0) )
& p(X0)
& ~ q(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f29]) ).
fof(f31,plain,
( ~ sP15
| ( ( ! [X25] : q(X25)
| ! [X24] : p(X24) )
& ? [X26] :
( ~ q(X26)
& ~ p(X26) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f32,plain,
( ~ sP15
| ( ( ! [X2] : q(X2)
| ! [X1] : p(X1) )
& ? [X0] :
( ~ q(X0)
& ~ p(X0) ) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
( ~ sP15
| ( ( ! [X2] : q(X2)
| ! [X1] : p(X1) )
& ~ q(sK20)
& ~ p(sK20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f32]) ).
fof(f34,plain,
( ~ sP14
| ( ? [X32] :
( q(X32)
& p(X32) )
& ( ! [X34] : ~ q(X34)
| ! [X33] : ~ p(X33) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f35,plain,
( ~ sP14
| ( ? [X2] :
( q(X2)
& p(X2) )
& ( ! [X1] : ~ q(X1)
| ! [X0] : ~ p(X0) ) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
( ~ sP14
| ( q(sK21)
& p(sK21)
& ( ! [X1] : ~ q(X1)
| ! [X0] : ~ p(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X2,sK21)],[f35]) ).
fof(f37,plain,
( ~ sP13
| ( ! [X39] : ~ p(X39)
& ? [X40] :
( ? [X41] : p(X41)
& ~ p(X40) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f38,plain,
( ~ sP13
| ( ! [X2] : ~ p(X2)
& ? [X0] :
( ? [X1] : p(X1)
& ~ p(X0) ) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
( ~ sP13
| ( ! [X2] : ~ p(X2)
& p(sK23)
& ~ p(sK22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f38]) ).
fof(f40,plain,
( ~ sP12
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& sP1
& ! [X4] :
( ~ h(X4)
| ~ f(X4)
| g(X4) )
& ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f41,plain,
( ~ sP12
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& sP1
& ! [X1] :
( ~ h(X1)
| ~ f(X1)
| g(X1) )
& ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) ) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
( ~ sP11
| ( ! [X8,X9,X10] :
( ~ r(X9,X10)
| ~ r(X8,X9)
| r(X8,X10) )
& ! [X6,X7] :
( ~ r(X6,X7)
| r(X7,X6) )
& ? [X11,X12] :
( r(X11,X12)
& ~ r(X11,X11) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f43,plain,
( ~ sP11
| ( ! [X4,X5,X6] :
( ~ r(X5,X6)
| ~ r(X4,X5)
| r(X4,X6) )
& ! [X2,X3] :
( ~ r(X2,X3)
| r(X3,X2) )
& ? [X0,X1] :
( r(X0,X1)
& ~ r(X0,X0) ) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
( ~ sP11
| ( ! [X4,X5,X6] :
( ~ r(X5,X6)
| ~ r(X4,X5)
| r(X4,X6) )
& ! [X2,X3] :
( ~ r(X2,X3)
| r(X3,X2) )
& r(sK24,sK25)
& ~ r(sK24,sK24) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25]),skolemize(X0,sK24),skolemize(X1,sK25)],[f43]) ).
fof(f45,plain,
( ~ sP10
| ( ( ! [X16] :
( ~ f(X16)
| h(X16) )
| ! [X15] :
( ~ f(X15)
| g(X15) ) )
& sP0
& ! [X17] :
( ~ h(X17)
| ~ f(X17)
| g(X17) )
& ! [X18] :
( h(X18)
| ~ g(X18)
| ~ f(X18) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f46,plain,
( ~ sP10
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& sP0
& ! [X1] :
( ~ h(X1)
| ~ f(X1)
| g(X1) )
& ! [X0] :
( h(X0)
| ~ g(X0)
| ~ f(X0) ) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
( ~ sP9
| ( ( ! [X21] :
( q(X21)
& p(X21) )
| ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) )
& ( ? [X21] :
( ~ q(X21)
| ~ p(X21) )
| ? [X23] : ~ q(X23)
| ? [X22] : ~ p(X22) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f48,plain,
( ~ sP9
| ( ( ! [X21] :
( q(X21)
& p(X21) )
| ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) )
& ( ? [X21] :
( ~ q(X21)
| ~ p(X21) )
| ? [X23] : ~ q(X23)
| ? [X22] : ~ p(X22) ) ) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
( ~ sP9
| ( ( ! [X5] :
( q(X5)
& p(X5) )
| ( ! [X4] : q(X4)
& ! [X3] : p(X3) ) )
& ( ? [X2] :
( ~ q(X2)
| ~ p(X2) )
| ? [X1] : ~ q(X1)
| ? [X0] : ~ p(X0) ) ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ~ sP9
| ( ( ! [X5] :
( q(X5)
& p(X5) )
| ( ! [X4] : q(X4)
& ! [X3] : p(X3) ) )
& ( ~ q(sK28)
| ~ p(sK28)
| ~ q(sK27)
| ~ p(sK26) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X0,sK26),skolemize(X1,sK27),skolemize(X2,sK28)],[f49]) ).
fof(f51,plain,
( ~ sP8
| ( ( ? [X27] :
( q(X27)
| p(X27) )
| ? [X29] : q(X29)
| ? [X28] : p(X28) )
& ( ! [X27] :
( ~ q(X27)
& ~ p(X27) )
| ( ! [X29] : ~ q(X29)
& ! [X28] : ~ p(X28) ) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f52,plain,
( ~ sP8
| ( ( ? [X27] :
( q(X27)
| p(X27) )
| ? [X29] : q(X29)
| ? [X28] : p(X28) )
& ( ! [X27] :
( ~ q(X27)
& ~ p(X27) )
| ( ! [X29] : ~ q(X29)
& ! [X28] : ~ p(X28) ) ) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
( ~ sP8
| ( ( ? [X5] :
( q(X5)
| p(X5) )
| ? [X4] : q(X4)
| ? [X3] : p(X3) )
& ( ! [X2] :
( ~ q(X2)
& ~ p(X2) )
| ( ! [X1] : ~ q(X1)
& ! [X0] : ~ p(X0) ) ) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
( ~ sP8
| ( ( q(sK31)
| p(sK31)
| q(sK30)
| p(sK29) )
& ( ! [X2] :
( ~ q(X2)
& ~ p(X2) )
| ( ! [X1] : ~ q(X1)
& ! [X0] : ~ p(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31]),skolemize(X3,sK29),skolemize(X4,sK30),skolemize(X5,sK31)],[f53]) ).
fof(f55,plain,
( ~ sP7
| ( ( ! [X42] :
( c
| p(X42) )
| c
| ! [X43] : p(X43) )
& ( ? [X42] :
( ~ c
& ~ p(X42) )
| ( ~ c
& ? [X43] : ~ p(X43) ) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ~ sP7
| ( ( ! [X42] :
( c
| p(X42) )
| c
| ! [X43] : p(X43) )
& ( ? [X42] :
( ~ c
& ~ p(X42) )
| ( ~ c
& ? [X43] : ~ p(X43) ) ) ) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
( ~ sP7
| ( ( ! [X3] :
( c
| p(X3) )
| c
| ! [X2] : p(X2) )
& ( ? [X1] :
( ~ c
& ~ p(X1) )
| ( ~ c
& ? [X0] : ~ p(X0) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
( ~ sP7
| ( ( ! [X3] :
( c
| p(X3) )
| c
| ! [X2] : p(X2) )
& ( ( ~ c
& ~ p(sK33) )
| ( ~ c
& ~ p(sK32) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f57]) ).
fof(f59,plain,
( ~ sP6
| ( ( ? [X44] :
( c
& p(X44) )
| ( c
& ? [X45] : p(X45) ) )
& ( ! [X44] :
( ~ c
| ~ p(X44) )
| ~ c
| ! [X45] : ~ p(X45) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f60,plain,
( ~ sP6
| ( ( ? [X44] :
( c
& p(X44) )
| ( c
& ? [X45] : p(X45) ) )
& ( ! [X44] :
( ~ c
| ~ p(X44) )
| ~ c
| ! [X45] : ~ p(X45) ) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
( ~ sP6
| ( ( ? [X3] :
( c
& p(X3) )
| ( c
& ? [X2] : p(X2) ) )
& ( ! [X1] :
( ~ c
| ~ p(X1) )
| ~ c
| ! [X0] : ~ p(X0) ) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
( ~ sP6
| ( ( ( c
& p(sK35) )
| ( c
& p(sK34) ) )
& ( ! [X1] :
( ~ c
| ~ p(X1) )
| ~ c
| ! [X0] : ~ p(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X2,sK34),skolemize(X3,sK35)],[f61]) ).
fof(f63,plain,
( ~ sP5
| ( ( ? [X48] :
( ~ c
| p(X48) )
| ~ c
| ? [X49] : p(X49) )
& ( ! [X48] :
( c
& ~ p(X48) )
| ( c
& ! [X49] : ~ p(X49) ) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f64,plain,
( ~ sP5
| ( ( ? [X48] :
( ~ c
| p(X48) )
| ~ c
| ? [X49] : p(X49) )
& ( ! [X48] :
( c
& ~ p(X48) )
| ( c
& ! [X49] : ~ p(X49) ) ) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
( ~ sP5
| ( ( ? [X3] :
( ~ c
| p(X3) )
| ~ c
| ? [X2] : p(X2) )
& ( ! [X1] :
( c
& ~ p(X1) )
| ( c
& ! [X0] : ~ p(X0) ) ) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
( ~ sP5
| ( ( ~ c
| p(sK37)
| ~ c
| p(sK36) )
& ( ! [X1] :
( c
& ~ p(X1) )
| ( c
& ! [X0] : ~ p(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X2,sK36),skolemize(X3,sK37)],[f65]) ).
fof(f67,plain,
( ~ sP4
| ( ( ? [X50] :
( ~ p(X50)
| c )
| ? [X51] : ~ p(X51)
| c )
& ( ! [X50] :
( p(X50)
& ~ c )
| ( ! [X51] : p(X51)
& ~ c ) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f68,plain,
( ~ sP4
| ( ( ? [X50] :
( ~ p(X50)
| c )
| ? [X51] : ~ p(X51)
| c )
& ( ! [X50] :
( p(X50)
& ~ c )
| ( ! [X51] : p(X51)
& ~ c ) ) ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
( ~ sP4
| ( ( ? [X3] :
( ~ p(X3)
| c )
| ? [X2] : ~ p(X2)
| c )
& ( ! [X1] :
( p(X1)
& ~ c )
| ( ! [X0] : p(X0)
& ~ c ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
( ~ sP4
| ( ( ~ p(sK39)
| c
| ~ p(sK38)
| c )
& ( ! [X1] :
( p(X1)
& ~ c )
| ( ! [X0] : p(X0)
& ~ c ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X2,sK38),skolemize(X3,sK39)],[f69]) ).
fof(f71,plain,
( ~ sP3
| ( ( ! [X52] :
( ~ c
| p(X52) )
| ~ c
| ! [X53] : p(X53) )
& ( ? [X52] :
( c
& ~ p(X52) )
| ( c
& ? [X53] : ~ p(X53) ) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f72,plain,
( ~ sP3
| ( ( ! [X52] :
( ~ c
| p(X52) )
| ~ c
| ! [X53] : p(X53) )
& ( ? [X52] :
( c
& ~ p(X52) )
| ( c
& ? [X53] : ~ p(X53) ) ) ) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ~ sP3
| ( ( ! [X3] :
( ~ c
| p(X3) )
| ~ c
| ! [X2] : p(X2) )
& ( ? [X1] :
( c
& ~ p(X1) )
| ( c
& ? [X0] : ~ p(X0) ) ) ) ),
inference(rectify,[],[f72]) ).
fof(f74,plain,
( ~ sP3
| ( ( ! [X3] :
( ~ c
| p(X3) )
| ~ c
| ! [X2] : p(X2) )
& ( ( c
& ~ p(sK41) )
| ( c
& ~ p(sK40) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X0,sK40),skolemize(X1,sK41)],[f73]) ).
fof(f75,plain,
( ~ sP2
| ( ( ! [X54] :
( ~ p(X54)
| c )
| ! [X55] : ~ p(X55)
| c )
& ( ? [X54] :
( p(X54)
& ~ c )
| ( ? [X55] : p(X55)
& ~ c ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f76,plain,
( ~ sP2
| ( ( ! [X54] :
( ~ p(X54)
| c )
| ! [X55] : ~ p(X55)
| c )
& ( ? [X54] :
( p(X54)
& ~ c )
| ( ? [X55] : p(X55)
& ~ c ) ) ) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
( ~ sP2
| ( ( ! [X3] :
( ~ p(X3)
| c )
| ! [X2] : ~ p(X2)
| c )
& ( ? [X1] :
( p(X1)
& ~ c )
| ( ? [X0] : p(X0)
& ~ c ) ) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
( ~ sP2
| ( ( ! [X3] :
( ~ p(X3)
| c )
| ! [X2] : ~ p(X2)
| c )
& ( ( p(sK43)
& ~ c )
| ( p(sK42)
& ~ c ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43]),skolemize(X0,sK42),skolemize(X1,sK43)],[f77]) ).
fof(f79,plain,
( ~ sP1
| ! [X0] :
( ( g(X0)
& f(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) ) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
( ~ sP1
| ! [X0] :
( ( g(X0)
& f(X0)
& ~ h(X0) )
| ( ~ g(sK44)
& f(sK44) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X1,sK44)],[f79]) ).
fof(f84,plain,
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ( ! [X5] : p(X5)
& ! [X4] : ~ p(X4) )
| ? [X2] :
( ! [X3] : p(X3)
& ~ p(X2) )
| sP14
| ! [X0] :
( p(X0)
& ? [X1] : ~ p(X1) )
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(rectify,[],[f25]) ).
fof(f85,plain,
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ( ! [X5] : p(X5)
& ! [X4] : ~ p(X4) )
| ( ! [X3] : p(X3)
& ~ p(sK48) )
| sP14
| ! [X0] :
( p(X0)
& ~ p(sK47) )
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X1,sK47),skolemize(X2,sK48)],[f84]) ).
fof(f90,plain,
! [X0] :
( ~ sP16
| ~ p(sK19(X0))
| q(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f91,plain,
! [X0] :
( ~ sP16
| p(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f92,plain,
! [X0] :
( ~ sP16
| ~ q(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
! [X2,X1] :
( ~ sP15
| q(X2)
| p(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f94,plain,
( ~ sP15
| ~ q(sK20) ),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
( ~ sP15
| ~ p(sK20) ),
inference(cnf_transformation,[],[f33]) ).
fof(f96,plain,
( ~ sP14
| q(sK21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f97,plain,
( ~ sP14
| p(sK21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP14
| ~ q(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f99,plain,
! [X2] :
( ~ sP13
| ~ p(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f100,plain,
( ~ sP13
| p(sK23) ),
inference(cnf_transformation,[],[f39]) ).
fof(f102,plain,
! [X2,X3] :
( ~ sP12
| ~ f(X3)
| h(X3)
| ~ f(X2)
| g(X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f103,plain,
( ~ sP12
| sP1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f104,plain,
! [X1] :
( ~ sP12
| ~ h(X1)
| ~ f(X1)
| g(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
! [X0] :
( ~ sP12
| h(X0)
| ~ g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
! [X6,X4,X5] :
( ~ sP11
| ~ r(X5,X6)
| ~ r(X4,X5)
| r(X4,X6) ),
inference(cnf_transformation,[],[f44]) ).
fof(f107,plain,
! [X2,X3] :
( ~ sP11
| ~ r(X2,X3)
| r(X3,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f108,plain,
( ~ sP11
| r(sK24,sK25) ),
inference(cnf_transformation,[],[f44]) ).
fof(f109,plain,
( ~ sP11
| ~ r(sK24,sK24) ),
inference(cnf_transformation,[],[f44]) ).
fof(f110,plain,
! [X2,X3] :
( ~ sP10
| ~ f(X3)
| h(X3)
| ~ f(X2)
| g(X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f111,plain,
( ~ sP10
| sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f112,plain,
! [X1] :
( ~ sP10
| ~ h(X1)
| ~ f(X1)
| g(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f113,plain,
! [X0] :
( ~ sP10
| h(X0)
| ~ g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f114,plain,
! [X4,X5] :
( ~ sP9
| q(X5)
| q(X4) ),
inference(cnf_transformation,[],[f50]) ).
fof(f116,plain,
! [X3,X5] :
( ~ sP9
| q(X5)
| p(X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f117,plain,
! [X3,X5] :
( ~ sP9
| p(X5)
| p(X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f118,plain,
( ~ sP9
| ~ q(sK28)
| ~ p(sK28)
| ~ q(sK27)
| ~ p(sK26) ),
inference(cnf_transformation,[],[f50]) ).
fof(f119,plain,
( ~ sP8
| q(sK31)
| p(sK31)
| q(sK30)
| p(sK29) ),
inference(cnf_transformation,[],[f54]) ).
fof(f120,plain,
! [X2,X1] :
( ~ sP8
| ~ q(X2)
| ~ q(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0] :
( ~ sP8
| ~ p(X2)
| ~ p(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f127,plain,
( ~ sP7
| ~ c
| ~ p(sK32) ),
inference(cnf_transformation,[],[f58]) ).
fof(f128,plain,
( ~ sP7
| ~ p(sK33)
| ~ p(sK32) ),
inference(cnf_transformation,[],[f58]) ).
fof(f131,plain,
( ~ sP6
| c
| p(sK34) ),
inference(cnf_transformation,[],[f62]) ).
fof(f132,plain,
( ~ sP6
| p(sK35)
| p(sK34) ),
inference(cnf_transformation,[],[f62]) ).
fof(f137,plain,
! [X0] :
( ~ sP5
| c
| ~ p(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f138,plain,
! [X0,X1] :
( ~ sP5
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f140,plain,
! [X0,X1] :
( ~ sP4
| p(X1)
| p(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f148,plain,
( ~ sP3
| ~ p(sK41)
| ~ p(sK40) ),
inference(cnf_transformation,[],[f74]) ).
fof(f150,plain,
( ~ sP2
| p(sK43)
| p(sK42) ),
inference(cnf_transformation,[],[f78]) ).
fof(f156,plain,
! [X0] :
( ~ sP1
| ~ h(X0)
| ~ g(sK44) ),
inference(cnf_transformation,[],[f80]) ).
fof(f158,plain,
! [X0] :
( ~ sP1
| f(X0)
| f(sK44) ),
inference(cnf_transformation,[],[f80]) ).
fof(f166,plain,
! [X3,X0,X5] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| p(X5)
| p(X3)
| sP14
| p(X0)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
fof(f167,plain,
! [X3,X0,X4] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ~ p(X4)
| p(X3)
| sP14
| p(X0)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
fof(f169,plain,
! [X0,X4] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ~ p(X4)
| ~ p(sK48)
| sP14
| p(X0)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
fof(f170,plain,
! [X3,X5] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| p(X5)
| p(X3)
| sP14
| ~ p(sK47)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
fof(f172,plain,
! [X5] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| p(X5)
| ~ p(sK48)
| sP14
| ~ p(sK47)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
fof(f173,plain,
! [X4] :
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ~ p(X4)
| ~ p(sK48)
| sP14
| ~ p(sK47)
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_49,plain,
( ~ sP18
| ~ c ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_50,plain,
( c
| ~ sP18 ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_51,plain,
( ~ sP17
| ~ c ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_52,plain,
( c
| ~ sP17 ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_53,plain,
! [X0: $i] :
( ~ sP16
| ~ q(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_54,plain,
! [X0: $i] :
( p(X0)
| ~ sP16 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_55,plain,
! [X0: $i] :
( q(X0)
| ~ sP16
| ~ p(sK19(X0)) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_56,plain,
( ~ sP15
| ~ p(sK20) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_57,plain,
( ~ sP15
| ~ q(sK20) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( p(X1)
| q(X0)
| ~ sP15 ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ sP14
| ~ p(X1)
| ~ q(X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_60,plain,
( p(sK21)
| ~ sP14 ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_61,plain,
( q(sK21)
| ~ sP14 ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_63,plain,
( p(sK23)
| ~ sP13 ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_64,plain,
! [X0: $i] :
( ~ sP13
| ~ p(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_65,plain,
! [X0: $i] :
( h(X0)
| ~ sP12
| ~ g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_66,plain,
! [X0: $i] :
( g(X0)
| ~ sP12
| ~ h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_67,plain,
( sP1
| ~ sP12 ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( h(X1)
| g(X0)
| ~ sP12
| ~ f(X1)
| ~ f(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_69,plain,
( ~ sP11
| ~ r(sK24,sK24) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_70,plain,
( r(sK24,sK25)
| ~ sP11 ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| ~ sP11
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X0,X2)
| ~ sP11
| ~ r(X1,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_73,plain,
! [X0: $i] :
( h(X0)
| ~ sP10
| ~ g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_74,plain,
! [X0: $i] :
( g(X0)
| ~ sP10
| ~ h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_75,plain,
( sP0
| ~ sP10 ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( h(X1)
| g(X0)
| ~ sP10
| ~ f(X1)
| ~ f(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_77,plain,
( ~ sP9
| ~ p(sK28)
| ~ p(sK26)
| ~ q(sK28)
| ~ q(sK27) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ sP9 ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( p(X1)
| q(X0)
| ~ sP9 ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( q(X1)
| q(X0)
| ~ sP9 ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ sP8
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ~ sP8
| ~ q(X1)
| ~ q(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_86,plain,
( p(sK31)
| p(sK29)
| q(sK31)
| q(sK30)
| ~ sP8 ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_87,plain,
( ~ sP7
| ~ p(sK33)
| ~ p(sK32) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_88,plain,
( ~ sP7
| ~ c
| ~ p(sK32) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_90,plain,
( ~ sP7
| ~ c ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( c
| p(X1)
| p(X0)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ~ sP6
| ~ c
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_93,plain,
( p(sK35)
| p(sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_94,plain,
( c
| p(sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_96,plain,
( c
| ~ sP6 ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ~ sP5
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_98,plain,
! [X0: $i] :
( c
| ~ sP5
| ~ p(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_100,plain,
( c
| ~ sP5 ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_101,plain,
( p(sK37)
| p(sK36)
| ~ sP5
| ~ c ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_102,plain,
( ~ sP4
| ~ c ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_106,plain,
( c
| ~ sP4
| ~ p(sK39)
| ~ p(sK38) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_107,plain,
( ~ sP3
| ~ p(sK41)
| ~ p(sK40) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_110,plain,
( c
| ~ sP3 ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ sP3
| ~ c ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_112,plain,
( ~ sP2
| ~ c ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_115,plain,
( p(sK42)
| p(sK43)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( c
| ~ sP2
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_118,plain,
! [X0: $i] :
( f(sK44)
| f(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_120,plain,
! [X0: $i] :
( ~ sP1
| ~ g(sK44)
| ~ h(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_129,negated_conjecture,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| ~ p(sK48)
| ~ p(sK47)
| ~ p(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_130,negated_conjecture,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(X0)
| ~ p(sK48)
| ~ p(sK47) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(X1)
| p(X0)
| ~ p(sK47) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(X1)
| ~ p(sK48)
| ~ p(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(X2)
| p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(X2)
| p(X1)
| p(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_141,plain,
( f(sK44)
| ~ sP1 ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_142,plain,
( p(sK44)
| ~ sP4 ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_145,plain,
( p(sK44)
| ~ sP9 ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_148,plain,
( ~ sP1
| ~ h(sK44)
| ~ g(sK44) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_151,plain,
( ~ sP8
| ~ q(sK44) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_153,plain,
( ~ sP8
| ~ p(sK44) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_154,plain,
( ~ sP14
| ~ p(sK44)
| ~ q(sK44) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_160,plain,
( g(sK44)
| ~ sP12
| ~ h(sK44)
| ~ f(sK44) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_161,plain,
( h(sK44)
| ~ sP12
| ~ g(sK44)
| ~ f(sK44) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_163,plain,
( h(sK44)
| g(sK44)
| ~ sP12
| ~ f(sK44) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_164,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| p(sK44) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_168,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| ~ p(sK48)
| ~ p(sK47)
| ~ p(sK44) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_169,plain,
~ sP17,
inference(global_subsumption_just,[status(thm)],[c_52,c_52,c_51]) ).
tcf(c_171,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_50,c_50,c_49]) ).
tcf(c_179,plain,
( c
| ~ sP6 ),
inference(global_subsumption_just,[status(thm)],[c_94,c_96]) ).
tcf(c_199,plain,
( c
| ~ sP5 ),
inference(global_subsumption_just,[status(thm)],[c_98,c_100]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( ~ sP7
| p(X0)
| p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_91,c_90,c_91]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ sP7 ),
inference(renaming,[status(thm)],[c_203]) ).
tcf(c_205,plain,
( p(sK44)
| ~ sP7 ),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_208,plain,
( ~ sP7
| ~ c ),
inference(global_subsumption_just,[status(thm)],[c_88,c_90]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ sP3 ),
inference(global_subsumption_just,[status(thm)],[c_111,c_110,c_111]) ).
tcf(c_212,plain,
( p(sK44)
| ~ sP3 ),
inference(instantiation,[status(thm)],[c_210]) ).
tcf(c_213,plain,
( p(sK37)
| p(sK36)
| ~ sP5 ),
inference(global_subsumption_just,[status(thm)],[c_101,c_100,c_101]) ).
tcf(c_215,plain,
! [X0: $i] :
( ~ p(sK19(X0))
| ~ sP16 ),
inference(global_subsumption_just,[status(thm)],[c_55,c_53,c_55]) ).
tcf(c_216,plain,
! [X0: $i] :
( ~ sP16
| ~ p(sK19(X0)) ),
inference(renaming,[status(thm)],[c_215]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( ~ p(X0)
| ~ p(X1)
| ~ sP2 ),
inference(global_subsumption_just,[status(thm)],[c_116,c_112,c_116]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( ~ sP2
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_218]) ).
tcf(c_220,plain,
( ~ sP2
| ~ p(sK44) ),
inference(instantiation,[status(thm)],[c_219]) ).
tcf(c_221,plain,
( ~ p(sK38)
| ~ p(sK39)
| ~ sP4 ),
inference(global_subsumption_just,[status(thm)],[c_106,c_102,c_106]) ).
tcf(c_222,plain,
( ~ sP4
| ~ p(sK39)
| ~ p(sK38) ),
inference(renaming,[status(thm)],[c_221]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ~ sP6
| ~ p(X0)
| ~ p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_96,c_92]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( ~ sP6
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_223]) ).
tcf(c_226,plain,
! [X0: $i] :
( g(X0)
| ~ sP12 ),
inference(global_subsumption_just,[status(thm)],[c_66,c_67,c_141,c_148,c_160,c_161,c_163]) ).
tcf(c_228,plain,
( g(sK44)
| ~ sP12 ),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_229,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_226,c_67,c_141,c_148,c_161,c_228]) ).
tcf(c_235,plain,
! [X1: $i,X2: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| p(X1)
| p(X2)
| sP16
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_136,c_136,c_135,c_169,c_171,c_229]) ).
tcf(c_236,negated_conjecture,
! [X0: $i,X1: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| p(X1)
| p(X0) ),
inference(renaming,[status(thm)],[c_235]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP10
| sP11
| p(X1)
| p(X0)
| sP15
| sP14
| sP13
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_132,c_54,c_105,c_78,c_204,c_210,c_236]) ).
tcf(c_248,negated_conjecture,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP13
| sP14
| sP15
| p(X1)
| p(X0) ),
inference(renaming,[status(thm)],[c_247]) ).
tcf(c_249,plain,
! [X1: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| ~ p(sK48)
| p(X1)
| sP16
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_133,c_67,c_52,c_50,c_51,c_49,c_141,c_148,c_160,c_161,c_163,c_133,c_236]) ).
tcf(c_250,negated_conjecture,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| p(X0)
| ~ p(sK48) ),
inference(renaming,[status(thm)],[c_249]) ).
tcf(c_261,plain,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| p(X0)
| ~ p(sK48)
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_130,c_54,c_250]) ).
tcf(c_262,negated_conjecture,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| p(X0)
| ~ p(sK48) ),
inference(renaming,[status(thm)],[c_261]) ).
tcf(c_263,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| ~ p(sK47)
| ~ p(sK48)
| sP16
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_129,c_67,c_52,c_50,c_51,c_49,c_141,c_148,c_160,c_161,c_163,c_164,c_168]) ).
tcf(c_264,negated_conjecture,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| ~ p(sK48)
| ~ p(sK47) ),
inference(renaming,[status(thm)],[c_263]) ).
tcf(c_291,plain,
~ sP16,
inference(backward_subsumption_resolution,[status(thm)],[c_216,c_54]) ).
tcf(c_294,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_264,c_291]) ).
tcf(c_305,plain,
~ sP13,
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_64]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP14
| sP15
| p(X1)
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_248,c_305]) ).
tcf(c_311,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_294,c_305]) ).
tcf(c_312,plain,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0)
| ~ p(sK48) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_305]) ).
tcf(c_462,plain,
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_311,c_82]) ).
tcf(c_487,plain,
( sP2
| sP3
| sP4
| sP6
| sP7
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_462,c_97]) ).
tcf(c_512,plain,
( sP3
| sP4
| sP6
| sP7
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_487,c_219]) ).
tcf(c_525,plain,
( sP3
| sP4
| sP7
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_512,c_224]) ).
tcf(c_598,plain,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_312,c_309]) ).
tcf(c_690,plain,
( ~ sP5
| ~ sP7 ),
inference(resolution,[status(thm)],[c_199,c_208]) ).
tcf(c_711,plain,
( ~ sP6
| ~ sP7 ),
inference(resolution,[status(thm)],[c_179,c_208]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i] :
( g(X1)
| g(X0)
| ~ sP10
| ~ f(X1)
| ~ f(X0) ),
inference(resolution,[status(thm)],[c_74,c_76]) ).
tcf(c_904,plain,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0)
| ~ p(sK33)
| ~ p(sK32) ),
inference(resolution,[status(thm)],[c_598,c_87]) ).
tcf(c_934,plain,
! [X0: $i] :
( sP2
| sP3
| sP4
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_904,c_309,c_309]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i] :
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X1)
| p(X0)
| ~ p(sK48)
| ~ p(sK47) ),
inference(resolution,[status(thm)],[c_525,c_204]) ).
tcf(c_948,plain,
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| p(sK44)
| ~ p(sK48)
| ~ p(sK47) ),
inference(instantiation,[status(thm)],[c_947]) ).
tcf(c_949,plain,
! [X0: $i] :
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK47)
| ~ p(sK48)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_947,c_153,c_220,c_525,c_690,c_711,c_934,c_948]) ).
tcf(c_950,plain,
! [X0: $i] :
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0)
| ~ p(sK48)
| ~ p(sK47) ),
inference(renaming,[status(thm)],[c_949]) ).
tcf(c_1011,plain,
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47)
| ~ p(sK33)
| ~ p(sK32) ),
inference(resolution,[status(thm)],[c_525,c_87]) ).
tcf(c_1023,plain,
( sP3
| sP4
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1011,c_950,c_950]) ).
tcf(c_1060,plain,
( sP3
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK47)
| ~ p(sK39)
| ~ p(sK38) ),
inference(resolution,[status(thm)],[c_1023,c_222]) ).
tcf(c_1121,plain,
! [X0: $i] :
( sP2
| sP3
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0)
| ~ p(sK39)
| ~ p(sK38) ),
inference(resolution,[status(thm)],[c_934,c_222]) ).
tcf(c_1149,plain,
! [X0: $i] :
( sP2
| sP3
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1121,c_309,c_309]) ).
tcf(c_1222,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP3
| sP5
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_1149,c_224]) ).
tcf(c_1223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0)
| ~ p(X1)
| p(X2)
| sP15
| sP14
| sP11
| sP10
| sP9
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_1222,c_97,c_82,c_219,c_1222]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1223]) ).
tcf(c_1324,plain,
( sP3
| sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK39)
| ~ p(sK38) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1060,c_1224]) ).
tcf(c_1357,plain,
( sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK41)
| ~ p(sK40)
| ~ p(sK39)
| ~ p(sK38) ),
inference(resolution,[status(thm)],[c_1324,c_107]) ).
tcf(c_1393,plain,
! [X0: $i] :
( sP2
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0)
| ~ p(sK41)
| ~ p(sK40) ),
inference(resolution,[status(thm)],[c_1149,c_107]) ).
tcf(c_1419,plain,
! [X0: $i] :
( sP2
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1393,c_309,c_309]) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP5
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_1419,c_224]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0)
| ~ p(X1)
| p(X2)
| sP15
| sP14
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_1451,c_97,c_82,c_219,c_1451]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1452]) ).
tcf(c_1530,plain,
( sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK41)
| ~ p(sK39)
| ~ p(sK38) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1357,c_1453]) ).
tcf(c_1573,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_1419,c_97]) ).
tcf(c_1574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0)
| ~ p(X1)
| p(X2)
| sP15
| sP14
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_1573,c_97,c_82,c_219,c_1451]) ).
tcf(c_1575,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1574]) ).
tcf(c_1608,plain,
( sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK48)
| ~ p(sK39)
| ~ p(sK38) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1530,c_1575]) ).
tcf(c_1751,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP14
| sP15
| p(X2)
| p(X1)
| q(X0) ),
inference(resolution,[status(thm)],[c_1419,c_79]) ).
tcf(c_1886,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_1419,c_219]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X0)
| ~ p(X1)
| p(X2)
| sP15
| sP14
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_1886,c_97,c_82,c_219,c_1451]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9
| sP10
| sP11
| sP14
| sP15
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1887]) ).
tcf(c_1958,plain,
( sP9
| sP10
| sP11
| sP14
| sP15
| ~ p(sK39)
| ~ p(sK38) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1608,c_1888]) ).
tcf(c_2028,plain,
( sP10
| sP11
| sP14
| sP15
| ~ p(sK39)
| ~ p(sK38)
| ~ p(sK28)
| ~ p(sK26)
| ~ q(sK28)
| ~ q(sK27) ),
inference(resolution,[status(thm)],[c_1958,c_77]) ).
tcf(c_2049,plain,
( sP10
| sP11
| sP15
| ~ p(sK39)
| ~ p(sK38)
| ~ p(sK28)
| ~ p(sK26)
| ~ q(sK28)
| ~ q(sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2028,c_59]) ).
tcf(c_2476,plain,
( sP9
| sP10
| sP11
| sP14
| ~ p(sK39)
| ~ p(sK38)
| ~ q(sK20) ),
inference(resolution,[status(thm)],[c_1958,c_57]) ).
tcf(c_2491,plain,
( sP9
| sP10
| sP11
| ~ p(sK39)
| ~ p(sK38)
| ~ q(sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2476,c_59]) ).
tcf(c_2498,plain,
( sP9
| sP10
| sP11
| sP14
| ~ p(sK39)
| ~ p(sK38)
| ~ p(sK20) ),
inference(resolution,[status(thm)],[c_1958,c_56]) ).
tcf(c_2520,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| p(X2)
| p(X1)
| q(X0) ),
inference(resolution,[status(thm)],[c_1419,c_58]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP5
| sP6
| sP8
| q(X0)
| p(X1)
| p(X2)
| sP14
| sP11
| sP10 ),
inference(global_subsumption_just,[status(thm)],[c_2520,c_58,c_1751]) ).
tcf(c_2523,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP14
| p(X2)
| p(X1)
| q(X0) ),
inference(renaming,[status(thm)],[c_2522]) ).
tcf(c_2586,plain,
! [X0: $i] :
( sP2
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| p(X0)
| ~ p(sK20) ),
inference(resolution,[status(thm)],[c_1419,c_56]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP14
| p(X1)
| p(X0)
| ~ q(sK20) ),
inference(resolution,[status(thm)],[c_309,c_57]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP8
| sP10
| sP11
| sP14
| p(X1)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2699,c_2523]) ).
tcf(c_2723,plain,
! [X0: $i] :
( sP2
| sP5
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2586,c_2711]) ).
tcf(c_3053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2
| sP5
| sP8
| sP10
| sP11
| sP14
| p(X3)
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_2711,c_224]) ).
tcf(c_3054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ p(X0)
| ~ p(X1)
| p(X2)
| p(X3)
| sP14
| sP11
| sP10 ),
inference(global_subsumption_just,[status(thm)],[c_3053,c_97,c_82,c_219,c_3053]) ).
tcf(c_3055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP10
| sP11
| sP14
| p(X3)
| p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_3054]) ).
tcf(c_3191,plain,
! [X0: $i] :
( sP2
| sP6
| sP8
| sP9
| sP10
| sP11
| sP14
| p(sK37)
| p(sK36)
| p(X0) ),
inference(resolution,[status(thm)],[c_2723,c_213]) ).
tcf(c_3213,plain,
! [X0: $i] :
( sP2
| sP6
| sP8
| sP10
| sP11
| sP14
| p(sK37)
| p(sK36)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3191,c_78]) ).
tcf(c_3966,plain,
( sP9
| sP10
| sP11
| sP15
| q(sK21)
| ~ p(sK39)
| ~ p(sK38) ),
inference(resolution,[status(thm)],[c_1958,c_61]) ).
tcf(c_3988,plain,
( sP9
| sP10
| sP11
| sP15
| p(sK21)
| ~ p(sK39)
| ~ p(sK38) ),
inference(resolution,[status(thm)],[c_1958,c_60]) ).
tcf(c_7361,plain,
! [X0: $i] :
( ~ iPr_def_10
| p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_3055]) ).
tcf(c_7362,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_3055]) ).
tcf(c_7363,plain,
( iPr_def_11
| iPr_def_10
| sP10
| sP11
| sP14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3055]) ).
tcf(c_7366,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ f(X0)
| g(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_815]) ).
tcf(c_7367,plain,
( iPr_def_12
| ~ sP10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_815]) ).
tcf(c_7371,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_85]) ).
tcf(c_7372,plain,
( iPr_def_13
| ~ sP8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
tcf(c_7375,plain,
! [X0: $i] :
( ~ iPr_def_14
| q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_81]) ).
tcf(c_7376,plain,
( iPr_def_14
| ~ sP9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_81]) ).
tcf(c_7378,plain,
( iPr_def_10
| ~ sP9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78]) ).
tcf(c_7379,plain,
( iPr_def_13
| iPr_def_11
| ~ sP14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_59]) ).
tcf(c_7380,plain,
( iPr_def_14
| iPr_def_10
| ~ sP15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_58]) ).
tcf(c_7381,plain,
( iPr_def_11
| iPr_def_10
| sP10
| sP11
| sP14 ),
inference(demodulation,[status(thm)],[c_7363]) ).
tcf(c_7404,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ p(X0) ),
inference(demodulation,[status(thm)],[c_7362]) ).
tcf(c_7405,plain,
! [X0: $i] :
( p(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_7361]) ).
tcf(c_7406,plain,
( q(sK44)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_7375]) ).
tcf(c_7408,plain,
( ~ iPr_def_11
| ~ p(sK44) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7411,plain,
( r(sK25,sK24)
| ~ sP11
| ~ r(sK24,sK25) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_7415,plain,
! [X0: $i] :
( r(X0,sK24)
| ~ sP11
| ~ r(sK25,sK24)
| ~ r(X0,sK25) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_7420,plain,
( r(sK24,sK24)
| ~ sP11
| ~ r(sK25,sK24)
| ~ r(sK24,sK25) ),
inference(instantiation,[status(thm)],[c_7415]) ).
tcf(c_7430,plain,
( ~ iPr_def_13
| ~ q(sK21) ),
inference(instantiation,[status(thm)],[c_7371]) ).
tcf(c_7431,plain,
( ~ iPr_def_11
| ~ p(sK21) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7432,plain,
( ~ iPr_def_11
| ~ p(sK35) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7433,plain,
( ~ iPr_def_11
| ~ p(sK34) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7434,plain,
( ~ iPr_def_11
| ~ p(sK42) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7435,plain,
( ~ iPr_def_11
| ~ p(sK43) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7436,plain,
( ~ iPr_def_11
| ~ p(sK31) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7437,plain,
( ~ iPr_def_13
| ~ q(sK30) ),
inference(instantiation,[status(thm)],[c_7371]) ).
tcf(c_7438,plain,
( ~ iPr_def_11
| ~ p(sK29) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7439,plain,
( ~ iPr_def_13
| ~ q(sK31) ),
inference(instantiation,[status(thm)],[c_7371]) ).
tcf(c_7440,plain,
( g(sK45)
| ~ iPr_def_12
| ~ f(sK45) ),
inference(instantiation,[status(thm)],[c_7366]) ).
tcf(c_7441,plain,
( ~ iPr_def_11
| ~ p(sK37) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7442,plain,
( ~ iPr_def_11
| ~ p(sK36) ),
inference(instantiation,[status(thm)],[c_7404]) ).
tcf(c_7443,plain,
( p(sK39)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_7405]) ).
tcf(c_7452,plain,
( p(sK38)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_7405]) ).
tcf(c_7453,plain,
( p(sK20)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_7405]) ).
tcf(c_7454,plain,
( q(sK20)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_7375]) ).
tcf(c_7455,plain,
( q(sK28)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_7375]) ).
tcf(c_7458,plain,
( p(sK28)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_7405]) ).
tcf(c_7459,plain,
( p(sK26)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_7405]) ).
tcf(c_7460,plain,
( q(sK27)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_7375]) ).
fof(f6,definition,
( ~ sP0
| ? [X13] :
( g(X13)
& f(X13)
& ~ h(X13) )
| ? [X14] :
( ~ g(X14)
& f(X14) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7,definition,
( ~ sP1
| ! [X0] :
( ( g(X0)
& f(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ~ sP2
| ( ! [X54] :
( ~ p(X54)
| c )
<~> ( ! [X55] : ~ p(X55)
| c ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ~ sP3
| ( ! [X52] :
( ~ c
| p(X52) )
<~> ( ~ c
| ! [X53] : p(X53) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ~ sP4
| ( ? [X50] :
( ~ p(X50)
| c )
<~> ( ? [X51] : ~ p(X51)
| c ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP5
| ( ? [X48] :
( ~ c
| p(X48) )
<~> ( ~ c
| ? [X49] : p(X49) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP6
| ( ? [X44] :
( c
& p(X44) )
<~> ( c
& ? [X45] : p(X45) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP7
| ( ! [X42] :
( c
| p(X42) )
<~> ( c
| ! [X43] : p(X43) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP8
| ( ? [X27] :
( q(X27)
| p(X27) )
<~> ( ? [X29] : q(X29)
| ? [X28] : p(X28) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP9
| ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X23] : q(X23)
& ! [X22] : p(X22) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP10
| ( ( ! [X16] :
( ~ f(X16)
| h(X16) )
| ! [X15] :
( ~ f(X15)
| g(X15) ) )
& sP0
& ! [X17] :
( ~ h(X17)
| ~ f(X17)
| g(X17) )
& ! [X18] :
( h(X18)
| ~ g(X18)
| ~ f(X18) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP11
| ( ! [X8,X9,X10] :
( ~ r(X9,X10)
| ~ r(X8,X9)
| r(X8,X10) )
& ! [X6,X7] :
( ~ r(X6,X7)
| r(X7,X6) )
& ? [X11,X12] :
( r(X11,X12)
& ~ r(X11,X11) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ~ sP12
| ( ( ! [X3] :
( ~ f(X3)
| h(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& sP1
& ! [X4] :
( ~ h(X4)
| ~ f(X4)
| g(X4) )
& ! [X5] :
( h(X5)
| ~ g(X5)
| ~ f(X5) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ~ sP13
| ( ! [X39] : ~ p(X39)
& ? [X40] :
( ? [X41] : p(X41)
& ~ p(X40) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ~ sP14
| ( ? [X32] :
( q(X32)
& p(X32) )
& ( ! [X34] : ~ q(X34)
| ! [X33] : ~ p(X33) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ~ sP15
| ( ( ! [X25] : q(X25)
| ! [X24] : p(X24) )
& ? [X26] :
( ~ q(X26)
& ~ p(X26) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP16
| ! [X19] :
? [X20] :
( ( ~ p(X20)
| q(X19) )
& p(X19)
& ~ q(X19) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP17
| ( c
<~> c ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP18
| ( c
<~> c ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f25,plain,
( sP2
| sP3
| sP4
| sP5
| sP17
| sP18
| sP6
| sP7
| sP13
| ( ! [X37] : p(X37)
& ! [X38] : ~ p(X38) )
| ? [X35] :
( ! [X36] : p(X36)
& ~ p(X35) )
| sP14
| ! [X30] :
( p(X30)
& ? [X31] : ~ p(X31) )
| sP8
| sP15
| sP9
| sP16
| sP10
| sP11
| sP12 ),
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f81,plain,
( ~ sP0
| ? [X13] :
( g(X13)
& f(X13)
& ~ h(X13) )
| ? [X14] :
( ~ g(X14)
& f(X14) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f82,plain,
( ~ sP0
| ? [X1] :
( g(X1)
& f(X1)
& ~ h(X1) )
| ? [X0] :
( ~ g(X0)
& f(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
( ~ sP0
| ( g(sK46)
& f(sK46)
& ~ h(sK46) )
| ( ~ g(sK45)
& f(sK45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f82]) ).
fof(f160,plain,
( ~ sP0
| g(sK46)
| ~ g(sK45) ),
inference(cnf_transformation,[],[f83]) ).
fof(f161,plain,
( ~ sP0
| f(sK46)
| ~ g(sK45) ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
( ~ sP0
| ~ h(sK46)
| ~ g(sK45) ),
inference(cnf_transformation,[],[f83]) ).
fof(f163,plain,
( ~ sP0
| g(sK46)
| f(sK45) ),
inference(cnf_transformation,[],[f83]) ).
fof(f164,plain,
( ~ sP0
| f(sK46)
| f(sK45) ),
inference(cnf_transformation,[],[f83]) ).
fof(f165,plain,
( ~ sP0
| ~ h(sK46)
| f(sK45) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_123,plain,
( f(sK45)
| ~ sP0
| ~ h(sK46) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_124,plain,
( f(sK46)
| f(sK45)
| ~ sP0 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_125,plain,
( g(sK46)
| f(sK45)
| ~ sP0 ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_126,plain,
( ~ sP0
| ~ h(sK46)
| ~ g(sK45) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_127,plain,
( f(sK46)
| ~ sP0
| ~ g(sK45) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_128,plain,
( g(sK46)
| ~ sP0
| ~ g(sK45) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_736,plain,
( g(sK46)
| ~ sP10
| ~ g(sK45) ),
inference(resolution,[status(thm)],[c_75,c_128]) ).
tcf(c_746,plain,
( f(sK46)
| ~ sP10
| ~ g(sK45) ),
inference(resolution,[status(thm)],[c_75,c_127]) ).
tcf(c_756,plain,
( ~ sP10
| ~ h(sK46)
| ~ g(sK45) ),
inference(resolution,[status(thm)],[c_75,c_126]) ).
tcf(c_786,plain,
( f(sK45)
| ~ sP10
| ~ h(sK46) ),
inference(resolution,[status(thm)],[c_75,c_123]) ).
tcf(c_832,plain,
( f(sK45)
| ~ sP10
| ~ g(sK46)
| ~ f(sK46) ),
inference(resolution,[status(thm)],[c_73,c_786]) ).
tcf(c_833,plain,
( f(sK45)
| ~ sP10 ),
inference(global_subsumption_just,[status(thm)],[c_832,c_75,c_125,c_124,c_832]) ).
tcf(c_841,plain,
( ~ sP10
| ~ g(sK46)
| ~ g(sK45)
| ~ f(sK46) ),
inference(resolution,[status(thm)],[c_73,c_756]) ).
tcf(c_842,plain,
( ~ sP10
| ~ g(sK45) ),
inference(global_subsumption_just,[status(thm)],[c_841,c_736,c_746,c_841]) ).
tcf(c_7461,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7460,c_7459,c_7458,c_7455,c_7454,c_7453,c_7452,c_7443,c_7442,c_7441,c_7440,c_7439,c_7438,c_7437,c_7436,c_7435,c_7434,c_7433,c_7432,c_7431,c_7430,c_7420,c_7411,c_7371,c_7381,c_7408,c_7404,c_7380,c_7379,c_7406,c_7375,c_7378,c_7376,c_7372,c_7367,c_3988,c_3966,c_3213,c_2498,c_2491,c_2049,c_1958,c_842,c_833,c_305,c_291,c_229,c_213,c_212,c_205,c_171,c_169,c_164,c_86,c_154,c_151,c_69,c_145,c_93,c_142,c_115,c_56,c_70,c_60,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 02:37:27 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 2.97/1.27 % SZS status Started for theBenchmark.p
% 2.97/1.27 % SZS status Theorem for theBenchmark.p
% 2.97/1.27
% 2.97/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.97/1.27
% 2.97/1.27 % ------ iProver source info
% 2.97/1.27
% 2.97/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.97/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.97/1.27 % git: non_committed_changes: false
% 2.97/1.27
% 2.97/1.27 % ------ Parsing...
% 2.97/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.97/1.27
% 2.97/1.27 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.97/1.27
% 2.97/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.97/1.27 gs_s sp: 31 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.97/1.27 % ------ Proving...
% 2.97/1.27 % ------ Problem Properties
% 2.97/1.27
% 2.97/1.27 %
% 2.97/1.27 % clauses 38
% 2.97/1.27 % conjectures 0
% 2.97/1.27 % EPR 38
% 2.97/1.27 % Horn 26
% 2.97/1.27 % unary 0
% 2.97/1.27 % binary 22
% 2.97/1.27 % lits 114
% 2.97/1.27 % lits eq 0
% 2.97/1.27 % fd_pure 0
% 2.97/1.27 % fd_pseudo 0
% 2.97/1.27 % fd_cond 0
% 2.97/1.27 % fd_pseudo_cond 0
% 2.97/1.27 % AC symbols 0
% 2.97/1.27
% 2.97/1.27 % ------ Schedule EPR non Horn non eq is on
% 2.97/1.27
% 2.97/1.27 % ------ no conjectures: strip conj schedule
% 2.97/1.27
% 2.97/1.27 % ------ no equalities: superposition off
% 2.97/1.27
% 2.97/1.27 % ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 2.97/1.27
% 2.97/1.27
% 2.97/1.27 % ------
% 2.97/1.27 % Current options:
% 2.97/1.27 % ------
% 2.97/1.27
% 2.97/1.27
% 2.97/1.27 %
% 2.97/1.27
% 2.97/1.27 % ------ Proving...
% 2.97/1.27 %
% 2.97/1.27
% 2.97/1.27 % SZS status Theorem for theBenchmark.p
% 2.97/1.27
% 2.97/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/1.27
% 2.97/1.27
%------------------------------------------------------------------------------