%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : KRS028+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n001.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 01:54:35 PM UTC 2026
% Result : Satisfiable 0.36s 11.16s
% Output : Saturation 0.36s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f29,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f30,axiom,
! [X0] :
( cSatisfiable(X0)
<=> ( ~ ? [X1] :
( cc2(X1)
& cc1(X1)
& rrx3a(X0,X1) )
& ? [X1] :
( cc1(X1)
& rrx3a(X0,X1) )
& ? [X1] :
( cc2(X1)
& rrx4a(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( rrx(X0,X2)
& rrx(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( rrx3(X0,X2)
& rrx3(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( rrx3a(X0,X2)
& rrx3a(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( rrx4(X0,X2)
& rrx4(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( rrx4a(X0,X2)
& rrx4a(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f36,axiom,
cSatisfiable(i2003_11_14_17_15_19316),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f37,axiom,
! [X0,X1] :
( rrx3a(X0,X1)
=> rrxa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f38,axiom,
! [X0,X1] :
( rrx3(X0,X1)
=> rrx1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f39,axiom,
! [X0,X1] :
( rrx4a(X0,X1)
=> rrxa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f40,axiom,
! [X0,X1] :
( rrx3(X0,X1)
=> rrx(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f41,axiom,
! [X0,X1] :
( rrx4(X0,X1)
=> rrx2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f42,axiom,
! [X0,X1] :
( rrx4a(X0,X1)
=> rrx2a(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f43,axiom,
! [X0,X1] :
( rrx4(X0,X1)
=> rrx(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f44,axiom,
! [X0,X1] :
( rrx3a(X0,X1)
=> rrx1a(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f45,plain,
! [X0] :
( cSatisfiable(X0)
<=> ( ~ ? [X3] :
( cc2(X3)
& cc1(X3)
& rrx3a(X0,X3) )
& ? [X2] :
( cc1(X2)
& rrx3a(X0,X2) )
& ? [X1] :
( cc2(X1)
& rrx4a(X0,X1) ) ) ),
inference(rectify,[],[f30]) ).
fof(f100,plain,
! [X0] :
( cSatisfiable(X0)
<=> ( ! [X3] :
( ~ cc2(X3)
| ~ cc1(X3)
| ~ rrx3a(X0,X3) )
& ? [X2] :
( cc1(X2)
& rrx3a(X0,X2) )
& ? [X1] :
( cc2(X1)
& rrx4a(X0,X1) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ rrx(X0,X2)
| ~ rrx(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f31]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ rrx(X0,X2)
| ~ rrx(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ rrx3(X0,X2)
| ~ rrx3(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f32]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ rrx3(X0,X2)
| ~ rrx3(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f33]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ rrx4(X0,X2)
| ~ rrx4(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f34]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ rrx4(X0,X2)
| ~ rrx4(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f35]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ rrx3a(X0,X1)
| rrxa(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f112,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx1(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f113,plain,
! [X0,X1] :
( ~ rrx4a(X0,X1)
| rrxa(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx2(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f116,plain,
! [X0,X1] :
( ~ rrx4a(X0,X1)
| rrx2a(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f117,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f118,plain,
! [X0,X1] :
( ~ rrx3a(X0,X1)
| rrx1a(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f119,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f120,plain,
! [X0] :
( ( ~ cSatisfiable(X0)
| ( ! [X3] :
( ~ cc2(X3)
| ~ cc1(X3)
| ~ rrx3a(X0,X3) )
& ? [X2] :
( cc1(X2)
& rrx3a(X0,X2) )
& ? [X1] :
( cc2(X1)
& rrx4a(X0,X1) ) ) )
& ( ? [X3] :
( cc2(X3)
& cc1(X3)
& rrx3a(X0,X3) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3a(X0,X2) )
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4a(X0,X1) )
| cSatisfiable(X0) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f121,plain,
! [X0] :
( ( ~ cSatisfiable(X0)
| ( ! [X3] :
( ~ cc2(X3)
| ~ cc1(X3)
| ~ rrx3a(X0,X3) )
& ? [X2] :
( cc1(X2)
& rrx3a(X0,X2) )
& ? [X1] :
( cc2(X1)
& rrx4a(X0,X1) ) ) )
& ( ? [X3] :
( cc2(X3)
& cc1(X3)
& rrx3a(X0,X3) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3a(X0,X2) )
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4a(X0,X1) )
| cSatisfiable(X0) ) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ( ~ cSatisfiable(X0)
| ( ! [X6] :
( ~ cc2(X6)
| ~ cc1(X6)
| ~ rrx3a(X0,X6) )
& ? [X5] :
( cc1(X5)
& rrx3a(X0,X5) )
& ? [X4] :
( cc2(X4)
& rrx4a(X0,X4) ) ) )
& ( ? [X3] :
( cc2(X3)
& cc1(X3)
& rrx3a(X0,X3) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3a(X0,X2) )
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4a(X0,X1) )
| cSatisfiable(X0) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ( ~ cSatisfiable(X0)
| ( ! [X6] :
( ~ cc2(X6)
| ~ cc1(X6)
| ~ rrx3a(X0,X6) )
& cc1(sK2(X0))
& rrx3a(X0,sK2(X0))
& cc2(sK1(X0))
& rrx4a(X0,sK1(X0)) ) )
& ( ( cc2(sK0(X0))
& cc1(sK0(X0))
& rrx3a(X0,sK0(X0)) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3a(X0,X2) )
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4a(X0,X1) )
| cSatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f122]) ).
fof(f151,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f28]) ).
fof(f152,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f28]) ).
fof(f153,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f154,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f155,plain,
! [X0,X6] :
( ~ cSatisfiable(X0)
| ~ cc2(X6)
| ~ cc1(X6)
| ~ rrx3a(X0,X6) ),
inference(cnf_transformation,[],[f123]) ).
fof(f156,plain,
! [X0] :
( ~ cSatisfiable(X0)
| cc1(sK2(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f157,plain,
! [X0] :
( ~ cSatisfiable(X0)
| rrx3a(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f158,plain,
! [X0] :
( ~ cSatisfiable(X0)
| cc2(sK1(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f159,plain,
! [X0] :
( ~ cSatisfiable(X0)
| rrx4a(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f160,plain,
! [X2,X0,X1] :
( cc2(sK0(X0))
| ~ cc1(X2)
| ~ rrx3a(X0,X2)
| ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f161,plain,
! [X2,X0,X1] :
( cc1(sK0(X0))
| ~ cc1(X2)
| ~ rrx3a(X0,X2)
| ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f162,plain,
! [X2,X0,X1] :
( rrx3a(X0,sK0(X0))
| ~ cc1(X2)
| ~ rrx3a(X0,X2)
| ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ rrx(X0,X2)
| ~ rrx(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ rrx3(X0,X2)
| ~ rrx3(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ rrx4(X0,X2)
| ~ rrx4(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f168,plain,
cSatisfiable(i2003_11_14_17_15_19316),
inference(cnf_transformation,[],[f36]) ).
fof(f169,plain,
! [X0,X1] :
( ~ rrx3a(X0,X1)
| rrxa(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f170,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx1(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f171,plain,
! [X0,X1] :
( ~ rrx4a(X0,X1)
| rrxa(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f172,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f173,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx2(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f174,plain,
! [X0,X1] :
( ~ rrx4a(X0,X1)
| rrx2a(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f175,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f176,plain,
! [X0,X1] :
( ~ rrx3a(X0,X1)
| rrx1a(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f152]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( cSatisfiable(X0)
| rrx3a(X0,sK0(X0))
| ~ cc1(X2)
| ~ cc2(X1)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( cSatisfiable(X0)
| cc1(sK0(X0))
| ~ cc1(X2)
| ~ cc2(X1)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( cSatisfiable(X0)
| cc2(sK0(X0))
| ~ cc1(X2)
| ~ cc2(X1)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_56,plain,
! [X0: $i] :
( rrx4a(X0,sK1(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_57,plain,
! [X0: $i] :
( cc2(sK1(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_58,plain,
! [X0: $i] :
( rrx3a(X0,sK2(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_59,plain,
! [X0: $i] :
( cc1(sK2(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ cc1(X1)
| ~ cc2(X1)
| ~ cSatisfiable(X0)
| ~ rrx3a(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rrx(X0,X2)
| ~ rrx(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rrx3(X0,X2)
| ~ rrx3(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rrx4(X0,X2)
| ~ rrx4(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_66,plain,
cSatisfiable(i2003_11_14_17_15_19316),
inference(cnf_transformation,[],[f168]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( rrxa(X0,X1)
| ~ rrx3a(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( rrx1(X0,X1)
| ~ rrx3(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( rrxa(X0,X1)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( rrx(X0,X1)
| ~ rrx3(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( rrx2(X0,X1)
| ~ rrx4(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( rrx2a(X0,X1)
| ~ rrx4a(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( rrx(X0,X1)
| ~ rrx4(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( rrx1a(X0,X1)
| ~ rrx3a(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_129,plain,
! [X0: $i] :
( rrxa(X0,sK2(X0))
| ~ cSatisfiable(X0) ),
inference(superposition,[status(thm)],[c_58,c_67]) ).
tcf(c_141,plain,
! [X0: $i] :
( rrxa(X0,sK1(X0))
| ~ cSatisfiable(X0) ),
inference(superposition,[status(thm)],[c_56,c_69]) ).
tcf(c_157,plain,
! [X0: $i] :
( rrx2a(X0,sK1(X0))
| ~ cSatisfiable(X0) ),
inference(superposition,[status(thm)],[c_56,c_72]) ).
tcf(c_169,plain,
! [X0: $i] :
( rrx1a(X0,sK2(X0))
| ~ cSatisfiable(X0) ),
inference(superposition,[status(thm)],[c_58,c_74]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( ( sK2(X0) = X1 )
| ~ cSatisfiable(X0)
| ~ rrx3a(X0,X1) ),
inference(superposition,[status(thm)],[c_58,c_63]) ).
tcf(c_226,plain,
! [X0: $i] :
( ~ cSatisfiable(X0)
| ~ cc1(sK2(X0))
| ~ cc2(sK2(X0)) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( ( sK1(X0) = X1 )
| ~ cSatisfiable(X0)
| ~ rrx4a(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_281,plain,
! [X0: $i] :
( ~ cSatisfiable(X0)
| ~ cc2(sK2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_226,c_59,c_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS028+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.09/10.37 % Computer : n001.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Wed Sep 23 19:21:32 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.14/10.40 Running model finding
% 0.14/10.40 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
% 0.14/10.41
% 0.14/10.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.41
% 0.14/10.41 % Detected problem language: tptp
% 0.14/10.42 % Proving...
% 0.36/11.16 % SZS status Started for theBenchmark.p
% 0.36/11.16 % SZS status Satisfiable for theBenchmark.p
% 0.36/11.16
% 0.36/11.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.36/11.16
% 0.36/11.16 ------ iProver source info
% 0.36/11.16
% 0.36/11.16 git: date: 2026-07-19 20:42:38 +0200
% 0.36/11.16 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.36/11.16 git: non_committed_changes: false
% 0.36/11.16
% 0.36/11.16 ------ Parsing...
% 0.36/11.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.36/11.16 ------ Proving...
% 0.36/11.16 ------ Problem Properties
% 0.36/11.16
% 0.36/11.16
% 0.36/11.16 clauses 26
% 0.36/11.16 conjectures 0
% 0.36/11.16 EPR 19
% 0.36/11.16 Horn 22
% 0.36/11.16 unary 3
% 0.36/11.16 binary 14
% 0.36/11.16 lits 68
% 0.36/11.16 lits eq 5
% 0.36/11.16 fd_pure 0
% 0.36/11.16 fd_pseudo 0
% 0.36/11.16 fd_cond 0
% 0.36/11.16 fd_pseudo_cond 5
% 0.36/11.16 AC symbols 0
% 0.36/11.16
% 0.36/11.16 ------ Schedule dynamic 5 is on
% 0.36/11.16
% 0.36/11.16 ------ no conjectures: strip conj schedule
% 0.36/11.16
% 0.36/11.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.36/11.16
% 0.36/11.16
% 0.36/11.16 ------
% 0.36/11.16 Current options:
% 0.36/11.16 ------
% 0.36/11.16
% 0.36/11.16 ------ Input Options
% 0.36/11.16
% 0.36/11.16 --out_options all
% 0.36/11.16 --tptp_safe_out true
% 0.36/11.16 --problem_path ""
% 0.36/11.16 --include_path ""
% 0.36/11.16 --clausifier res/vclausify_rel
% 0.36/11.16 --clausifier_options --mode clausify -t 101.67 -updr off
% 0.36/11.16 --stdin false
% 0.36/11.16 --proof_out true
% 0.36/11.16 --proof_dot_file ""
% 0.36/11.16 --proof_reduce_dot []
% 0.36/11.16 --suppress_sat_res false
% 0.36/11.16 --suppress_unsat_res true
% 0.36/11.16 --stats_out none
% 0.36/11.16 --stats_mem false
% 0.36/11.16 --theory_stats_out false
% 0.36/11.16
% 0.36/11.16 ------ General Options
% 0.36/11.16
% 0.36/11.16 --fof false
% 0.36/11.16 --time_out_real 305.
% 0.36/11.16 --time_out_virtual -1.
% 0.36/11.16 --rnd_seed 13
% 0.36/11.16 --symbol_type_check false
% 0.36/11.16 --clausify_out false
% 0.36/11.16 --sig_cnt_out false
% 0.36/11.16 --trig_cnt_out false
% 0.36/11.16 --trig_cnt_out_tolerance 1.
% 0.36/11.16 --trig_cnt_out_sk_spl false
% 0.36/11.16 --abstr_cl_out false
% 0.36/11.16
% 0.36/11.16 ------ Interactive Mode
% 0.36/11.16
% 0.36/11.16 --interactive_mode false
% 0.36/11.16 --external_ip_address ""
% 0.36/11.16 --external_port 0
% 0.36/11.16
% 0.36/11.16 ------ Global Options
% 0.36/11.16
% 0.36/11.16 --schedule default
% 0.36/11.16 --add_important_lit false
% 0.36/11.16 --prop_solver_per_cl 500
% 0.36/11.16 --subs_bck_mult 8
% 0.36/11.16 --min_unsat_core false
% 0.36/11.16 --soft_assumptions false
% 0.36/11.16 --soft_lemma_size 3
% 0.36/11.16 --prop_impl_unit_size 0
% 0.36/11.16 --prop_impl_unit []
% 0.36/11.16 --share_sel_clauses true
% 0.36/11.16 --reset_solvers false
% 0.36/11.16 --bc_imp_inh [conj_cone]
% 0.36/11.16 --conj_cone_tolerance 3.
% 0.36/11.16 --extra_neg_conj none
% 0.36/11.16 --large_theory_mode true
% 0.36/11.16 --prolific_symb_bound 200
% 0.36/11.16 --lt_threshold 2000
% 0.36/11.16 --clause_weak_htbl true
% 0.36/11.16 --gc_record_bc_elim false
% 0.36/11.16
% 0.36/11.16 ------ Preprocessing Options
% 0.36/11.16
% 0.36/11.16 --preprocessing_flag false
% 0.36/11.16 --time_out_prep_mult 0.1
% 0.36/11.16 --splitting_mode input
% 0.36/11.16 --splitting_grd true
% 0.36/11.16 --splitting_cvd false
% 0.36/11.16 --splitting_cvd_svl false
% 0.36/11.16 --splitting_nvd 32
% 0.36/11.16 --sub_typing false
% 0.36/11.16 --prep_eq_flat_conj false
% 0.36/11.16 --prep_ineq_split false
% 0.36/11.16 --prep_eq_flat_all_gr false
% 0.36/11.16 --prep_gs_sim true
% 0.36/11.16 --prep_unflatten true
% 0.36/11.16 --prep_res_sim true
% 0.36/11.16 --prep_sup_sim_all true
% 0.36/11.16 --prep_sup_sim_sup false
% 0.36/11.16 --prep_upred true
% 0.36/11.16 --prep_well_definedness true
% 0.36/11.16 --prep_sem_filter exhaustive
% 0.36/11.16 --prep_sem_filter_out false
% 0.36/11.16 --pred_elim true
% 0.36/11.16 --res_sim_input true
% 0.36/11.16 --eq_ax_congr_red true
% 0.36/11.16 --pure_diseq_elim true
% 0.36/11.16 --brand_transform false
% 0.36/11.16 --non_eq_to_eq false
% 0.36/11.16 --prep_eq_proxy false
% 0.36/11.16 --prep_def_merge true
% 0.36/11.16 --prep_def_merge_prop_impl false
% 0.36/11.16 --prep_def_merge_mbd true
% 0.36/11.16 --prep_def_merge_tr_red false
% 0.36/11.16 --prep_def_merge_tr_cl false
% 0.36/11.16 --smt_preprocessing false
% 0.36/11.16 --smt_ac_axioms fast
% 0.36/11.16 --preprocessed_out false
% 0.36/11.16 --preprocessed_stats false
% 0.36/11.16
% 0.36/11.16 ------ Abstraction refinement Options
% 0.36/11.16
% 0.36/11.16 --abstr_ref []
% 0.36/11.16 --abstr_ref_prep false
% 0.36/11.16 --abstr_ref_until_sat false
% 0.36/11.16 --abstr_ref_sig_restrict funpre
% 0.36/11.16 --abstr_ref_af_restrict_to_split_sk false
% 0.36/11.16 --abstr_ref_under []
% 0.36/11.16
% 0.36/11.16 ------ SAT Options
% 0.36/11.16
% 0.36/11.16 --sat_mode false
% 0.36/11.16 --sat_fm_restart_options ""
% 0.36/11.16 --sat_gr_def false
% 0.36/11.16 --sat_epr_types true
% 0.36/11.16 --sat_non_cyclic_types false
% 0.36/11.16 --sat_finite_models false
% 0.36/11.16 --sat_fm_lemmas false
% 0.36/11.16 --sat_fm_prep false
% 0.36/11.16 --sat_fm_uc_incr true
% 0.36/11.16 --sat_out_model pos
% 0.36/11.16 --sat_out_clauses false
% 0.36/11.16
% 0.36/11.16 ------ QBF Options
% 0.36/11.16
% 0.36/11.16 --qbf_mode false
% 0.36/11.16 --qbf_elim_univ false
% 0.36/11.16 --qbf_dom_inst none
% 0.36/11.17 --qbf_dom_pre_inst false
% 0.36/11.17 --qbf_sk_in false
% 0.36/11.17 --qbf_pred_elim true
% 0.36/11.17 --qbf_split 512
% 0.36/11.17
% 0.36/11.17 ------ BMC1 Options
% 0.36/11.17
% 0.36/11.17 --bmc1_incremental false
% 0.36/11.17 --bmc1_axioms reachable_all
% 0.36/11.17 --bmc1_min_bound 0
% 0.36/11.17 --bmc1_max_bound -1
% 0.36/11.17 --bmc1_max_bound_default -1
% 0.36/11.17 --bmc1_symbol_reachability true
% 0.36/11.17 --bmc1_property_lemmas false
% 0.36/11.17 --bmc1_k_induction false
% 0.36/11.17 --bmc1_non_equiv_states false
% 0.36/11.17 --bmc1_deadlock false
% 0.36/11.17 --bmc1_ucm false
% 0.36/11.17 --bmc1_add_unsat_core none
% 0.36/11.17 --bmc1_unsat_core_children false
% 0.36/11.17 --bmc1_unsat_core_extrapolate_axioms false
% 0.36/11.17 --bmc1_out_stat full
% 0.36/11.17 --bmc1_ground_init false
% 0.36/11.17 --bmc1_pre_inst_next_state false
% 0.36/11.17 --bmc1_pre_inst_state false
% 0.36/11.17 --bmc1_pre_inst_reach_state false
% 0.36/11.17 --bmc1_out_unsat_core false
% 0.36/11.17 --bmc1_aig_witness_out false
% 0.36/11.17 --bmc1_verbose false
% 0.36/11.17 --bmc1_dump_clauses_tptp false
% 0.36/11.17 --bmc1_dump_unsat_core_tptp false
% 0.36/11.17 --bmc1_dump_file -
% 0.36/11.17 --bmc1_ucm_expand_uc_limit 128
% 0.36/11.17 --bmc1_ucm_n_expand_iterations 6
% 0.36/11.17 --bmc1_ucm_extend_mode 1
% 0.36/11.17 --bmc1_ucm_init_mode 2
% 0.36/11.17 --bmc1_ucm_cone_mode none
% 0.36/11.17 --bmc1_ucm_reduced_relation_type 0
% 0.36/11.17 --bmc1_ucm_relax_model 4
% 0.36/11.17 --bmc1_ucm_full_tr_after_sat true
% 0.36/11.17 --bmc1_ucm_expand_neg_assumptions false
% 0.36/11.17 --bmc1_ucm_layered_model none
% 0.36/11.17 --bmc1_ucm_max_lemma_size 10
% 0.36/11.17
% 0.36/11.17 ------ AIG Options
% 0.36/11.17
% 0.36/11.17 --aig_mode false
% 0.36/11.17
% 0.36/11.17 ------ Instantiation Options
% 0.36/11.17
% 0.36/11.17 --instantiation_flag true
% 0.36/11.17 --inst_sos_flag false
% 0.36/11.17 --inst_sos_phase true
% 0.36/11.17 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 0.36/11.17 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/11.17 --inst_lit_sel_side none
% 0.36/11.17 --inst_solver_per_active 1400
% 0.36/11.17 --inst_solver_calls_frac 1.
% 0.36/11.17 --inst_to_smt_solver true
% 0.36/11.17 --inst_passive_queue_type priority_queues
% 0.36/11.17 --inst_passive_queues [[-num_var];[+age;-num_symb]]
% 0.36/11.17 --inst_passive_queues_freq [25;2]
% 0.36/11.17 --inst_dismatching true
% 0.36/11.17 --inst_eager_unprocessed_to_passive true
% 0.36/11.17 --inst_unprocessed_bound 1000
% 0.36/11.17 --inst_prop_sim_given true
% 0.36/11.17 --inst_prop_sim_new false
% 0.36/11.17 --inst_subs_new false
% 0.36/11.17 --inst_eq_res_simp false
% 0.36/11.17 --inst_subs_given false
% 0.36/11.17 --inst_orphan_elimination true
% 0.36/11.17 --inst_learning_loop_flag true
% 0.36/11.17 --inst_learning_start 3000
% 0.36/11.17 --inst_learning_factor 2
% 0.36/11.17 --inst_start_prop_sim_after_learn 3
% 0.36/11.17 --inst_sel_renew solver
% 0.36/11.17 --inst_lit_activity_flag true
% 0.36/11.17 --inst_restr_to_given false
% 0.36/11.17 --inst_activity_threshold 500
% 0.36/11.17
% 0.36/11.17 ------ Resolution Options
% 0.36/11.17
% 0.36/11.17 --resolution_flag false
% 0.36/11.17 --res_lit_sel adaptive
% 0.36/11.17 --res_lit_sel_side none
% 0.36/11.17 --res_ordering kbo
% 0.36/11.17 --res_to_prop_solver active
% 0.36/11.17 --res_prop_simpl_new false
% 0.36/11.17 --res_prop_simpl_given true
% 0.36/11.17 --res_to_smt_solver true
% 0.36/11.17 --res_passive_queue_type priority_queues
% 0.36/11.17 --res_passive_queues [[-num_symb];[+age;-num_symb]]
% 0.36/11.17 --res_passive_queues_freq [15;5]
% 0.36/11.17 --res_forward_subs full
% 0.36/11.17 --res_backward_subs full
% 0.36/11.17 --res_forward_subs_resolution true
% 0.36/11.17 --res_backward_subs_resolution true
% 0.36/11.17 --res_orphan_elimination true
% 0.36/11.17 --res_time_limit 300.
% 0.36/11.17
% 0.36/11.17 ------ Superposition Options
% 0.36/11.17
% 0.36/11.17 --superposition_flag true
% 0.36/11.17 --sup_passive_queue_type priority_queues
% 0.36/11.17 --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]]
% 0.36/11.17 --sup_passive_queues_freq [8;1;4;4]
% 0.36/11.17 --twee_lhs_weight 4
% 0.36/11.17 --sup_set_join false
% 0.36/11.17 --sup_set_join_goals true
% 0.36/11.17 --sup_set_join_limit 1000
% 0.36/11.17 --demod_completeness_check fast
% 0.36/11.17 --demod_use_ground true
% 0.36/11.17 --sup_unprocessed_bound 0
% 0.36/11.17 --sup_to_prop_solver passive
% 0.36/11.17 --sup_prop_simpl_new true
% 0.36/11.17 --sup_prop_simpl_given true
% 0.36/11.17 --sup_fun_splitting false
% 0.36/11.17 --sup_iter_deepening 2
% 0.36/11.17 --sup_restarts_mult 12
% 0.36/11.17 --sup_score sim_d_gen
% 0.36/11.17 --sup_share_score_frac 0.2
% 0.36/11.17 --sup_share_max_num_cl 500
% 0.36/11.17 --sup_ordering kbo
% 0.36/11.17 --sup_symb_ordering invfreq
% 0.36/11.17 --sup_term_weight default
% 0.36/11.17
% 0.36/11.17 ------ Superposition Simplification Setup
% 0.36/11.17
% 0.36/11.17 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 0.36/11.17 --sup_full_triv [SMTSimplify;PropSubs]
% 0.36/11.17 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 0.36/11.17 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 0.36/11.17 --sup_immed_triv []
% 0.36/11.17 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 0.36/11.17 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 0.36/11.17 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 0.36/11.17 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 0.36/11.17 --sup_input_triv [Unflattening;SMTSimplify]
% 0.36/11.17 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 0.36/11.17 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 0.36/11.17 --sup_full_fixpoint true
% 0.36/11.17 --sup_main_fixpoint true
% 0.36/11.17 --sup_immed_fixpoint false
% 0.36/11.17 --sup_input_fixpoint true
% 0.36/11.17 --sup_cache_sim none
% 0.36/11.17 --sup_smt_interval 500
% 0.36/11.17 --sup_bw_gjoin_interval 0
% 0.36/11.17
% 0.36/11.17 ------ Combination Options
% 0.36/11.17
% 0.36/11.17 --comb_mode clause_based
% 0.36/11.17 --comb_inst_mult 5
% 0.36/11.17 --comb_res_mult 1
% 0.36/11.17 --comb_sup_mult 8
% 0.36/11.17 --comb_sup_deep_mult 2
% 0.36/11.17
% 0.36/11.17 ------ Debug Options
% 0.36/11.17
% 0.36/11.17 --dbg_backtrace false
% 0.36/11.17 --dbg_dump_prop_clauses false
% 0.36/11.17 --dbg_dump_prop_clauses_file -
% 0.36/11.17 --dbg_out_stat false
% 0.36/11.17 --dbg_just_parse false
% 0.36/11.17
% 0.36/11.17
% 0.36/11.17
% 0.36/11.17
% 0.36/11.17 ------ Proving...
% 0.36/11.17
% 0.36/11.17
% 0.36/11.17 % SZS status Satisfiable for theBenchmark.p
% 0.36/11.17
% 0.36/11.17 % SZS output start Saturation for theBenchmark.p
% See solution above
% 0.36/11.17
% 0.36/11.17
%------------------------------------------------------------------------------