%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM022+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 01:04:21 PM UTC 2026
% Result : Theorem 1.40s 1.77s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f68ERROR: Could not build tree for root c_24355ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f86,plain,
! [X16] :
( ~ sP14(X16)
| ( ~ sdtmndtasgtdt0(xc,xR,X16)
& ~ sdtmndtplgtdt0(xc,xR,X16)
& ! [X18] :
( ~ sdtmndtplgtdt0(X18,xR,X16)
| ~ aReductOfIn0(X18,xc,xR)
| ~ aElement0(X18) )
& ~ aReductOfIn0(X16,xc,xR)
& xc != X16 ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f87,plain,
! [X0] :
( ~ sP14(X0)
| ( ~ sdtmndtasgtdt0(xc,xR,X0)
& ~ sdtmndtplgtdt0(xc,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xc,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xc,xR)
& xc != X0 ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
( ~ sP13
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xc)
| ~ aReductOfIn0(X1,xa,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xc,xa,xR) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f89,plain,
( ~ sP13
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) )
& ~ aReductOfIn0(xc,xa,xR) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
( ~ sP12
| ? [X2] :
( sP11(X2)
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,xb)
& aReductOfIn0(X3,X2,xR)
& aElement0(X3) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f91,plain,
( ~ sP12
| ? [X0] :
( sP11(X0)
& sdtmndtasgtdt0(X0,xR,xb)
& ( ( sdtmndtplgtdt0(X0,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR) ) )
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
( ~ sP12
| ( sP11(sK23)
& sdtmndtasgtdt0(sK23,xR,xb)
& ( ( sdtmndtplgtdt0(sK23,xR,xb)
& ( ( sdtmndtplgtdt0(sK24,xR,xb)
& aReductOfIn0(sK24,sK23,xR)
& aElement0(sK24) )
| aReductOfIn0(xb,sK23,xR) ) )
| xb = sK23 )
& aReductOfIn0(sK23,xa,xR)
& aElement0(sK23) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f91]) ).
fof(f93,plain,
! [X2] :
( ~ sP11(X2)
| ? [X4] :
( sP10(X2,X4)
& sdtmndtasgtdt0(X4,xR,xc)
& ( ( sdtmndtplgtdt0(X4,xR,xc)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,xc)
& aReductOfIn0(X5,X4,xR)
& aElement0(X5) )
| aReductOfIn0(xc,X4,xR) ) )
| xc = X4 )
& aReductOfIn0(X4,xa,xR)
& aElement0(X4) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f94,plain,
! [X0] :
( ~ sP11(X0)
| ? [X1] :
( sP10(X0,X1)
& sdtmndtasgtdt0(X1,xR,xc)
& ( ( sdtmndtplgtdt0(X1,xR,xc)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xc)
& aReductOfIn0(X2,X1,xR)
& aElement0(X2) )
| aReductOfIn0(xc,X1,xR) ) )
| xc = X1 )
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ~ sP11(X0)
| ( sP10(X0,sK25(X0))
& sdtmndtasgtdt0(sK25(X0),xR,xc)
& ( ( sdtmndtplgtdt0(sK25(X0),xR,xc)
& ( ( sdtmndtplgtdt0(sK26(X0),xR,xc)
& aReductOfIn0(sK26(X0),sK25(X0),xR)
& aElement0(sK26(X0)) )
| aReductOfIn0(xc,sK25(X0),xR) ) )
| xc = sK25(X0) )
& aReductOfIn0(sK25(X0),xa,xR)
& aElement0(sK25(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X1,sK25(X0)),skolemize(X2,sK26(X0))],[f94]) ).
fof(f96,plain,
! [X2,X4] :
( ~ sP10(X2,X4)
| ? [X6] :
( sP7(X6)
& sdtmndtasgtdt0(X4,xR,X6)
& sP8(X6,X4)
& sdtmndtasgtdt0(X2,xR,X6)
& sP9(X6,X2)
& aElement0(X6) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| ? [X2] :
( sP7(X2)
& sdtmndtasgtdt0(X1,xR,X2)
& sP8(X2,X1)
& sdtmndtasgtdt0(X0,xR,X2)
& sP9(X2,X0)
& aElement0(X2) ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| ( sP7(sK27(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK27(X0,X1))
& sP8(sK27(X0,X1),X1)
& sdtmndtasgtdt0(X0,xR,sK27(X0,X1))
& sP9(sK27(X0,X1),X0)
& aElement0(sK27(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f97]) ).
fof(f105,plain,
! [X6] :
( ~ sP7(X6)
| ? [X9] :
( sdtmndtasgtdt0(xc,xR,X9)
& sP4(X9)
& sdtmndtasgtdt0(xb,xR,X9)
& sP5(X9)
& aNormalFormOfIn0(X9,X6,xR)
& ! [X11] : ~ aReductOfIn0(X11,X9,xR)
& sdtmndtasgtdt0(X6,xR,X9)
& sP6(X9,X6)
& aElement0(X9) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f106,plain,
! [X0] :
( ~ sP7(X0)
| ? [X1] :
( sdtmndtasgtdt0(xc,xR,X1)
& sP4(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sP5(X1)
& aNormalFormOfIn0(X1,X0,xR)
& ! [X2] : ~ aReductOfIn0(X2,X1,xR)
& sdtmndtasgtdt0(X0,xR,X1)
& sP6(X1,X0)
& aElement0(X1) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ~ sP7(X0)
| ( sdtmndtasgtdt0(xc,xR,sK30(X0))
& sP4(sK30(X0))
& sdtmndtasgtdt0(xb,xR,sK30(X0))
& sP5(sK30(X0))
& aNormalFormOfIn0(sK30(X0),X0,xR)
& ! [X2] : ~ aReductOfIn0(X2,sK30(X0),xR)
& sdtmndtasgtdt0(X0,xR,sK30(X0))
& sP6(sK30(X0),X0)
& aElement0(sK30(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X1,sK30(X0))],[f106]) ).
fof(f117,plain,
( ( sP13
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,xb)
| ~ aReductOfIn0(X4,xa,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(xb,xa,xR) )
| sP12 )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,xc)
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xb)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ! [X0] :
( sP14(X0)
| ( ~ sdtmndtasgtdt0(xb,xR,X0)
& ~ sdtmndtplgtdt0(xb,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xb,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xb,xR)
& xb != X0 )
| ~ aElement0(X0) ) ),
inference(rectify,[],[f69]) ).
fof(f118,plain,
( ( sP13
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,xb)
| ~ aReductOfIn0(X4,xa,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(xb,xa,xR) )
| sP12 )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK35,xR,xc)
& aReductOfIn0(sK35,xa,xR)
& aElement0(sK35) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sK34,xR,xb)
& aReductOfIn0(sK34,xa,xR)
& aElement0(sK34) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ! [X0] :
( sP14(X0)
| ( ~ sdtmndtasgtdt0(xb,xR,X0)
& ~ sdtmndtplgtdt0(xb,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xb,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xb,xR)
& xb != X0 )
| ~ aElement0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X2,sK34),skolemize(X3,sK35)],[f117]) ).
fof(f155,plain,
aElement0(xc),
inference(cnf_transformation,[],[f17]) ).
fof(f156,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f180,plain,
! [X0] :
( ~ sP14(X0)
| ~ sdtmndtasgtdt0(xc,xR,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f181,plain,
! [X0] :
( ~ sP14(X0)
| ~ sdtmndtplgtdt0(xc,xR,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f184,plain,
! [X0] :
( ~ sP14(X0)
| xc != X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f185,plain,
( ~ sP13
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(cnf_transformation,[],[f89]) ).
fof(f186,plain,
! [X0] :
( ~ sP13
| ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f188,plain,
( ~ sP12
| sP11(sK23) ),
inference(cnf_transformation,[],[f92]) ).
fof(f196,plain,
! [X0] :
( ~ sP11(X0)
| sP10(X0,sK25(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| sP7(sK27(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f218,plain,
! [X0] :
( ~ sP7(X0)
| sdtmndtasgtdt0(xc,xR,sK30(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f220,plain,
! [X0] :
( ~ sP7(X0)
| sdtmndtasgtdt0(xb,xR,sK30(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f226,plain,
! [X0] :
( ~ sP7(X0)
| aElement0(sK30(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f239,plain,
( sP13
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sP12 ),
inference(cnf_transformation,[],[f118]) ).
fof(f240,plain,
! [X4] :
( sP13
| ~ sdtmndtplgtdt0(X4,xR,xb)
| ~ aReductOfIn0(X4,xa,xR)
| ~ aElement0(X4)
| sP12 ),
inference(cnf_transformation,[],[f118]) ).
fof(f243,plain,
( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc ),
inference(cnf_transformation,[],[f118]) ).
fof(f246,plain,
( aElement0(sK35)
| aReductOfIn0(xc,xa,xR)
| xa = xc ),
inference(cnf_transformation,[],[f118]) ).
fof(f248,plain,
( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb ),
inference(cnf_transformation,[],[f118]) ).
fof(f251,plain,
( aElement0(sK34)
| aReductOfIn0(xb,xa,xR)
| xa = xb ),
inference(cnf_transformation,[],[f118]) ).
fof(f252,plain,
! [X0] :
( sP14(X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f253,plain,
! [X0] :
( sP14(X0)
| ~ sdtmndtplgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f256,plain,
! [X0] :
( sP14(X0)
| xb != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f292,plain,
~ sP14(xc),
inference(equality_resolution,[],[f184]) ).
fof(f293,plain,
( sP14(xb)
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f256]) ).
tcf(c_68,plain,
aElement0(xb),
inference(cnf_transformation,[],[f156]) ).
tcf(c_69,plain,
aElement0(xc),
inference(cnf_transformation,[],[f155]) ).
tcf(c_92,plain,
~ sP14(xc),
inference(cnf_transformation,[],[f292]) ).
tcf(c_95,plain,
! [X0: $i] :
( ~ sP14(X0)
| ~ sdtmndtplgtdt0(xc,xR,X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_96,plain,
! [X0: $i] :
( ~ sP14(X0)
| ~ sdtmndtasgtdt0(xc,xR,X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_98,plain,
! [X0: $i] :
( ~ sP13
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_99,plain,
( ~ sP13
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_107,plain,
( sP11(sK23)
| ~ sP12 ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_115,plain,
! [X0: $i] :
( sP10(X0,sK25(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( sP7(sK27(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_130,plain,
! [X0: $i] :
( aElement0(sK30(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_136,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xb,xR,sK30(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_138,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xc,xR,sK30(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_151,negated_conjecture,
( sP14(xb)
| ~ aElement0(xb) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] :
( sP14(X0)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xb,xR,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_155,negated_conjecture,
! [X0: $i] :
( sP14(X0)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xb,xR,X0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_156,negated_conjecture,
( aElement0(sK34)
| aReductOfIn0(xb,xa,xR)
| ( xa = xb ) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_159,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| ( xa = xb ) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_161,negated_conjecture,
( aElement0(sK35)
| aReductOfIn0(xc,xa,xR)
| ( xa = xc ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_164,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| ( xa = xc ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_167,negated_conjecture,
! [X0: $i] :
( sP12
| sP13
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_168,negated_conjecture,
( sP12
| sP13
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_303,negated_conjecture,
sP14(xb),
inference(global_subsumption_just,[status(thm)],[c_151,c_68,c_151]) ).
tcf(c_2466,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP7(sK27(X2,X1))
| ~ sP11(X0)
| ( X0 != X2 )
| ( sK25(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_115,c_121]) ).
tcf(c_2467,plain,
! [X0: $i] :
( sP7(sK27(X0,sK25(X0)))
| ~ sP11(X0) ),
inference(unflattening,[status(thm)],[c_2466]) ).
tcf(c_3138,plain,
! [X0: $i] :
( sP7(sK27(X0,sK25(X0)))
| ~ sP12
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_2467]) ).
tcf(c_3139,plain,
( sP7(sK27(sK23,sK25(sK23)))
| ~ sP12 ),
inference(unflattening,[status(thm)],[c_3138]) ).
tcf(c_3821,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xc,xR,sK30(X0))
| ~ sP12
| ( sK27(sK23,sK25(sK23)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_3139]) ).
tcf(c_3822,plain,
( sdtmndtasgtdt0(xc,xR,sK30(sK27(sK23,sK25(sK23))))
| ~ sP12 ),
inference(unflattening,[status(thm)],[c_3821]) ).
tcf(c_3829,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xb,xR,sK30(X0))
| ~ sP12
| ( sK27(sK23,sK25(sK23)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_136,c_3139]) ).
tcf(c_3830,plain,
( sdtmndtasgtdt0(xb,xR,sK30(sK27(sK23,sK25(sK23))))
| ~ sP12 ),
inference(unflattening,[status(thm)],[c_3829]) ).
tcf(c_3845,plain,
! [X0: $i] :
( aElement0(sK30(X0))
| ~ sP12
| ( sK27(sK23,sK25(sK23)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_130,c_3139]) ).
tcf(c_3846,plain,
( aElement0(sK30(sK27(sK23,sK25(sK23))))
| ~ sP12 ),
inference(unflattening,[status(thm)],[c_3845]) ).
tcf(c_4482,plain,
! [X0: $i] :
( ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xb,xR,X0)
| ( X0 != xc ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_154]) ).
tcf(c_4483,plain,
( ~ aElement0(xc)
| ~ sdtmndtplgtdt0(xb,xR,xc) ),
inference(unflattening,[status(thm)],[c_4482]) ).
tcf(c_4626,plain,
! [X0: $i] :
( ~ sdtmndtplgtdt0(xc,xR,X0)
| ( X0 != xb ) ),
inference(resolution_lifted,[status(thm)],[c_95,c_303]) ).
tcf(c_4627,plain,
~ sdtmndtplgtdt0(xc,xR,xb),
inference(unflattening,[status(thm)],[c_4626]) ).
tcf(c_18620,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(X0,xR,xb) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_167]) ).
tcf(c_20746,plain,
( sP12
| sP13
| ( xa = xb ) ),
inference(superposition,[status(thm)],[c_159,c_168]) ).
tcf(c_20869,plain,
( ( xa = xc )
| ~ sP13 ),
inference(superposition,[status(thm)],[c_164,c_99]) ).
tcf(c_20886,plain,
( aElement0(sK35)
| ( xa = xc )
| ~ iPr_def_10
| ~ aElement0(xc)
| ~ sdtmndtplgtdt0(xc,xR,xb) ),
inference(superposition,[status(thm)],[c_161,c_18620]) ).
tcf(c_20900,plain,
( aElement0(sK35)
| ( xa = xc )
| ~ iPr_def_10
| ~ sdtmndtplgtdt0(xc,xR,xb) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20886,c_69]) ).
tcf(c_20948,plain,
( sP12
| ( xa = xc )
| ( xa = xb ) ),
inference(superposition,[status(thm)],[c_20746,c_20869]) ).
tcf(c_21063,plain,
~ sdtmndtplgtdt0(xc,xR,xb),
inference(global_subsumption_just,[status(thm)],[c_20900,c_4627]) ).
tcf(c_21698,plain,
( aElement0(sK34)
| ( xa = xb )
| ~ sP13
| ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xb,xR,xc) ),
inference(superposition,[status(thm)],[c_156,c_98]) ).
tcf(c_21710,plain,
( aElement0(sK34)
| ( xa = xb )
| ~ sP13
| ~ sdtmndtplgtdt0(xb,xR,xc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21698,c_68]) ).
tcf(c_21785,plain,
~ sdtmndtplgtdt0(xb,xR,xc),
inference(global_subsumption_just,[status(thm)],[c_21710,c_69,c_4483]) ).
tcf(c_23153,plain,
( ~ sP12
| ~ sP14(sK30(sK27(sK23,sK25(sK23)))) ),
inference(superposition,[status(thm)],[c_3822,c_96]) ).
tcf(c_23945,plain,
( sP14(sK30(sK27(sK23,sK25(sK23))))
| ~ sP12
| ~ aElement0(sK30(sK27(sK23,sK25(sK23)))) ),
inference(superposition,[status(thm)],[c_3830,c_155]) ).
tcf(c_24091,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_23945,c_3846,c_23153,c_23945]) ).
tcf(c_24094,plain,
( ( xa = xc )
| ( xa = xb ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_20948,c_24091]) ).
tcf(c_24293,plain,
( sdtmndtplgtdt0(xc,xR,xb)
| ( xa = xb ) ),
inference(superposition,[status(thm)],[c_24094,c_159]) ).
tcf(c_24302,plain,
xa = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_24293,c_21063]) ).
tcf(c_24334,plain,
( sdtmndtplgtdt0(xb,xR,xc)
| ( xb = xc ) ),
inference(demodulation,[status(thm)],[c_164,c_24302]) ).
tcf(c_24337,plain,
xb = xc,
inference(forward_subsumption_resolution,[status(thm)],[c_24334,c_21785]) ).
tcf(c_24353,plain,
~ sP14(xb),
inference(demodulation,[status(thm)],[c_92,c_24337]) ).
tcf(c_24355,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24353,c_303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM022+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 07:49:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 1.40/1.77 % SZS status Started for theBenchmark.p
% 1.40/1.77 % SZS status Theorem for theBenchmark.p
% 1.40/1.77
% 1.40/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.40/1.77
% 1.40/1.77 % ------ iProver source info
% 1.40/1.77
% 1.40/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 1.40/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.40/1.77 % git: non_committed_changes: false
% 1.40/1.77
% 1.40/1.77 % ------ Parsing...
% 1.40/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.40/1.77
% 1.40/1.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e %
% 1.40/1.77
% 1.40/1.77 % ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.40/1.77
% 1.40/1.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.40/1.77 % ------ Proving...
% 1.40/1.77 % ------ Problem Properties
% 1.40/1.77
% 1.40/1.77 %
% 1.40/1.77 % clauses 134
% 1.40/1.77 % conjectures 19
% 1.40/1.77 % EPR 61
% 1.40/1.77 % Horn 65
% 1.40/1.77 % unary 9
% 1.40/1.77 % binary 37
% 1.40/1.77 % lits 451
% 1.40/1.77 % lits eq 53
% 1.40/1.77 % fd_pure 0
% 1.40/1.77 % fd_pseudo 0
% 1.40/1.77 % fd_cond 0
% 1.40/1.77 % fd_pseudo_cond 9
% 1.40/1.77 % AC symbols 0
% 1.40/1.77
% 1.40/1.77 % ------ Schedule dynamic 5 is on
% 1.40/1.77
% 1.40/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 % ------
% 1.40/1.77 % Current options:
% 1.40/1.77 % ------
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 %
% 1.40/1.77
% 1.40/1.77 % ------ Proving...
% 1.40/1.77 %
% 1.40/1.77
% 1.40/1.77 % SZS status Theorem for theBenchmark.p
% 1.40/1.77
% 1.40/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.40/1.77
% 1.40/1.77
%------------------------------------------------------------------------------