%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS115+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 : n002.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 01:54:11 PM UTC 2026
% Result : Unsatisfiable 1.76s 1.27s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 103 ( 16 unt; 0 def)
% Number of atoms : 292 ( 33 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 337 ( 148 ~; 134 |; 43 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 181 ( 0 sgn 160 !; 21 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f19,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X1] :
( cp1(X1)
& rf1(X0,X1) )
& ? [X1] :
( cp2(X1)
& rf2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,axiom,
! [X0] :
( cp1(X0)
=> cp2xcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f21,axiom,
! [X0] :
( cp2(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f22,axiom,
! [X0] :
( cp2xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f23,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f24,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf2(X0,X2)
& rf2(X0,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f26,axiom,
! [X0,X1] :
( rr(X0,X1)
=> rf2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27,axiom,
! [X0,X1] :
( rr(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f28,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X3] :
( cowlThing(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X1] :
( cp2(X1)
& rf2(X0,X1) ) ) ),
inference(rectify,[],[f19]) ).
fof(f61,plain,
! [X0] :
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f62,plain,
! [X0] :
( cp2(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f63,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f64,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f66,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f70,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( cowlThing(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X1] :
( cp2(X1)
& rf2(X0,X1) ) ) )
& ( ! [X3] :
( ~ cowlThing(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X1] :
( ~ cp2(X1)
| ~ rf2(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f71,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( cowlThing(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X1] :
( cp2(X1)
& rf2(X0,X1) ) ) )
& ( ! [X3] :
( ~ cowlThing(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X1] :
( ~ cp2(X1)
| ~ rf2(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X6] :
( cowlThing(X6)
& rr(X0,X6) )
& ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
& ? [X4] :
( cp2(X4)
& rf2(X0,X4) ) ) )
& ( ! [X3] :
( ~ cowlThing(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X1] :
( ~ cp2(X1)
| ~ rf2(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( cowlThing(sK2(X0))
& rr(X0,sK2(X0))
& cp1(sK1(X0))
& rf1(X0,sK1(X0))
& cp2(sK0(X0))
& rf2(X0,sK0(X0)) ) )
& ( ! [X3] :
( ~ cowlThing(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X1] :
( ~ cp2(X1)
| ~ rf2(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f72]) ).
fof(f74,plain,
! [X0] :
( ( ~ cp2(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp2(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f75,plain,
! [X0] :
( ( ~ cp2(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp2(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( ~ cp2(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ra_Px1(X0,sK3(X0))
| cp2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f75]) ).
fof(f77,plain,
! [X0] :
( ( ~ cp2xcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp2xcomp(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0] :
( ( ~ cp2xcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp2xcomp(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( ~ cp2xcomp(X0)
| ra_Px1(X0,sK4(X0)) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp2xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f78]) ).
fof(f97,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f101,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f103,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f104,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK0(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f105,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f107,plain,
! [X0] :
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f108,plain,
! [X2,X0] :
( ~ cp2(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f110,plain,
! [X0] :
( ~ cp2xcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf_transformation,[],[f25]) ).
fof(f115,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f116,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f97]) ).
tcf(c_54,plain,
! [X0: $i] :
( rf2(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_55,plain,
! [X0: $i] :
( cp2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_56,plain,
! [X0: $i] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_57,plain,
! [X0: $i] :
( cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_58,plain,
! [X0: $i] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_60,plain,
! [X0: $i] :
( cp2xcomp(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ~ cp2(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_64,plain,
! [X0: $i] :
( ra_Px1(X0,sK4(X0))
| ~ cp2xcomp(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cowlThing(X0)
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cowlThing(X0)
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_67,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf_transformation,[],[f114]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf2(X0,X1)
| ~ rf2(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_49,c_66]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(renaming,[status(thm)],[c_89]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_49,c_65]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(renaming,[status(thm)],[c_92]) ).
tcf(c_99,plain,
! [X0: $i] :
( rf2(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_101,plain,
! [X0: $i] :
( cp2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_103,plain,
! [X0: $i] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_105,plain,
! [X0: $i] :
( cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_107,plain,
! [X0: $i] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_111]) ).
tcf(c_113,plain,
! [X0: $i] :
( ra_Px1(X0,sK4(X0))
| ~ cp2xcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
tcf(c_115,plain,
! [X0: $i] :
( cp2xcomp(X0)
| ~ cp1(X0) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cp2(X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( ~ cp2(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_117]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_129]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i] :
( cp2xcomp(X1)
| ~ cUnsatisfiable(X0)
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_115]) ).
tcf(c_406,plain,
! [X0: $i] :
( cp2xcomp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_405]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cp2xcomp(X1)
| ~ cp2(X0)
| ( X0 != X1 )
| ( sK4(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_118,c_113]) ).
tcf(c_457,plain,
! [X0: $i] :
( ~ cp2xcomp(X0)
| ~ cp2(X0) ),
inference(unflattening,[status(thm)],[c_456]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] :
( ~ cp2(X1)
| ~ cUnsatisfiable(X0)
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_406]) ).
tcf(c_472,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp2(sK1(X0)) ),
inference(unflattening,[status(thm)],[c_471]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i] :
( rf1(X2,X1)
| ~ cUnsatisfiable(X0)
| ( X0 != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_130]) ).
tcf(c_525,plain,
! [X0: $i] :
( rf1(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_524]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i] :
( rf2(X2,X1)
| ~ cUnsatisfiable(X0)
| ( X0 != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_112]) ).
tcf(c_534,plain,
! [X0: $i] :
( rf2(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_533]) ).
tcf(c_559,plain,
! [X0: $i] :
( rf2(X0,sK2(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_67]) ).
tcf(c_560,plain,
rf2(i2003_11_14_17_21_30578,sK2(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_559]) ).
tcf(c_564,plain,
! [X0: $i] :
( rf1(X0,sK2(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_525,c_67]) ).
tcf(c_565,plain,
rf1(i2003_11_14_17_21_30578,sK2(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_564]) ).
tcf(c_569,plain,
! [X0: $i] :
( ~ cp2(sK1(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_472,c_67]) ).
tcf(c_570,plain,
~ cp2(sK1(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_569]) ).
tcf(c_574,plain,
! [X0: $i] :
( rf1(X0,sK1(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_67]) ).
tcf(c_575,plain,
rf1(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_574]) ).
tcf(c_579,plain,
! [X0: $i] :
( cp2(sK0(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_67]) ).
tcf(c_580,plain,
cp2(sK0(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_579]) ).
tcf(c_584,plain,
! [X0: $i] :
( rf2(X0,sK0(X0))
| ( X0 != i2003_11_14_17_21_30578 ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_67]) ).
tcf(c_585,plain,
rf2(i2003_11_14_17_21_30578,sK0(i2003_11_14_17_21_30578)),
inference(unflattening,[status(thm)],[c_584]) ).
tcf(c_595,plain,
sK0(i2003_11_14_17_21_30578) != sK1(i2003_11_14_17_21_30578),
inference(resolution_lifted,[status(thm)],[c_580,c_570]) ).
tcf(c_773,plain,
! [X0: $i] :
( ( sK0(i2003_11_14_17_21_30578) = X0 )
| ~ rf2(i2003_11_14_17_21_30578,X0) ),
inference(superposition,[status(thm)],[c_585,c_90]) ).
tcf(c_786,plain,
sK0(i2003_11_14_17_21_30578) = sK2(i2003_11_14_17_21_30578),
inference(superposition,[status(thm)],[c_560,c_773]) ).
tcf(c_787,plain,
rf1(i2003_11_14_17_21_30578,sK0(i2003_11_14_17_21_30578)),
inference(demodulation,[status(thm)],[c_565,c_786]) ).
tcf(c_795,plain,
! [X0: $i] :
( ( sK1(i2003_11_14_17_21_30578) = X0 )
| ~ rf1(i2003_11_14_17_21_30578,X0) ),
inference(superposition,[status(thm)],[c_575,c_93]) ).
tcf(c_809,plain,
sK0(i2003_11_14_17_21_30578) = sK1(i2003_11_14_17_21_30578),
inference(superposition,[status(thm)],[c_787,c_795]) ).
tcf(c_810,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_809,c_595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS115+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:28:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.76/1.27 % SZS status Started for theBenchmark.p
% 1.76/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.27
% 1.76/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.76/1.27
% 1.76/1.27 % ------ iProver source info
% 1.76/1.27
% 1.76/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.76/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.76/1.27 % git: non_committed_changes: false
% 1.76/1.27
% 1.76/1.27 % ------ Parsing...
% 1.76/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.76/1.27
% 1.76/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 1.76/1.27
% 1.76/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.76/1.27
% 1.76/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.76/1.27 % ------ Proving...
% 1.76/1.27 % ------ Problem Properties
% 1.76/1.27
% 1.76/1.27 %
% 1.76/1.27 % clauses 7
% 1.76/1.27 % conjectures 0
% 1.76/1.27 % EPR 2
% 1.76/1.27 % Horn 7
% 1.76/1.27 % unary 5
% 1.76/1.27 % binary 0
% 1.76/1.27 % lits 11
% 1.76/1.27 % lits eq 3
% 1.76/1.27 % fd_pure 0
% 1.76/1.27 % fd_pseudo 0
% 1.76/1.27 % fd_cond 0
% 1.76/1.27 % fd_pseudo_cond 2
% 1.76/1.27 % AC symbols 0
% 1.76/1.27
% 1.76/1.27 % ------ Schedule dynamic 5 is on
% 1.76/1.27
% 1.76/1.27 % ------ no conjectures: strip conj schedule
% 1.76/1.27
% 1.76/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.76/1.27
% 1.76/1.27
% 1.76/1.27 % ------
% 1.76/1.27 % Current options:
% 1.76/1.27 % ------
% 1.76/1.27
% 1.76/1.27
% 1.76/1.27 %
% 1.76/1.27
% 1.76/1.27 % ------ Proving...
% 1.76/1.27 %
% 1.76/1.27
% 1.76/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.27
% 1.76/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.76/1.27
% 1.76/1.27
%------------------------------------------------------------------------------