%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS080+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 : n026.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 01:54:06 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.28s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 6
% Syntax : Number of formulae : 163 ( 15 unt; 1 def)
% Number of atoms : 883 ( 328 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 1035 ( 315 ~; 510 |; 199 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 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 : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 243 ( 0 sgn 179 !; 64 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X1] :
( cp3(X1)
& cp(X1)
& rr(X0,X1) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) )
& ? [X1] :
( cp2(X1)
& rr(X0,X1) )
& ! [X2,X3,X4,X5] :
( ( rr(X0,X5)
& rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2) )
=> ( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3 ) )
& ? [X1] :
( cp4(X1)
& rr(X0,X1) )
& ? [X1] :
( cp1(X1)
& rr(X0,X1) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f17,axiom,
! [X0] :
( cp1(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0)
| cp2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0] :
( cp2(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,axiom,
! [X0] :
( cp3(X0)
=> ~ ( cp5(X0)
| cp4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f22,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& ! [X4,X5,X6,X7] :
( ( rr(X0,X7)
& rr(X0,X6)
& rr(X0,X5)
& rr(X0,X4) )
=> ( X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5 ) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& ! [X4,X5,X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5 )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& ! [X4,X5,X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5 )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ~ cp1(X0)
| ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] :
( ~ cp2(X0)
| ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f53,plain,
! [X0] :
( ~ cp3(X0)
| ( ~ cp5(X0)
& ~ cp4(X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f61,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& sP0(X0)
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) )
& ( ! [X11] :
( ~ cp(X11)
| ~ cp2(X11)
| ~ rr(X0,X11) )
| ! [X10] :
( ~ cp3(X10)
| ~ cp(X10)
| ~ rr(X0,X10) )
| ! [X9] :
( ~ cp3(X9)
| ~ rr(X0,X9) )
| ! [X8] :
( ~ cp2(X8)
| ~ rr(X0,X8) )
| ~ sP0(X0)
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp1(X1)
| ~ cp(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f62,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& sP0(X0)
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) )
& ( ! [X11] :
( ~ cp(X11)
| ~ cp2(X11)
| ~ rr(X0,X11) )
| ! [X10] :
( ~ cp3(X10)
| ~ cp(X10)
| ~ rr(X0,X10) )
| ! [X9] :
( ~ cp3(X9)
| ~ rr(X0,X9) )
| ! [X8] :
( ~ cp2(X8)
| ~ rr(X0,X8) )
| ~ sP0(X0)
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp1(X1)
| ~ cp(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X14] :
( cp(X14)
& cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp3(X13)
& cp(X13)
& rr(X0,X13) )
& ? [X12] :
( cp3(X12)
& rr(X0,X12) )
& ? [X11] :
( cp2(X11)
& rr(X0,X11) )
& sP0(X0)
& ? [X10] :
( cp4(X10)
& rr(X0,X10) )
& ? [X9] :
( cp1(X9)
& rr(X0,X9) )
& ? [X8] :
( cp1(X8)
& cp(X8)
& rr(X0,X8) ) ) )
& ( ! [X7] :
( ~ cp(X7)
| ~ cp2(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp3(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp1(X1)
| ~ cp(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( cp(sK11(X0))
& cp2(sK11(X0))
& rr(X0,sK11(X0))
& cp3(sK10(X0))
& cp(sK10(X0))
& rr(X0,sK10(X0))
& cp3(sK9(X0))
& rr(X0,sK9(X0))
& cp2(sK8(X0))
& rr(X0,sK8(X0))
& sP0(X0)
& cp4(sK7(X0))
& rr(X0,sK7(X0))
& cp1(sK6(X0))
& rr(X0,sK6(X0))
& cp1(sK5(X0))
& cp(sK5(X0))
& rr(X0,sK5(X0)) ) )
& ( ! [X7] :
( ~ cp(X7)
| ~ cp2(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp3(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp1(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp1(X1)
| ~ cp(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X8,sK5(X0)),skolemize(X9,sK6(X0)),skolemize(X10,sK7(X0)),skolemize(X11,sK8(X0)),skolemize(X12,sK9(X0)),skolemize(X13,sK10(X0)),skolemize(X14,sK11(X0))],[f63]) ).
fof(f94,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK11(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f95,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f96,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp3(sK10(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f98,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp3(sK9(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f100,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f101,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK8(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f102,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f104,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp4(sK7(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f105,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK6(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK5(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f114,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f115,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f116,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f118,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f122,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f21]) ).
tcf(c_65,plain,
! [X0: $i] :
( rr(X0,sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_67,plain,
! [X0: $i] :
( cp1(sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_68,plain,
! [X0: $i] :
( rr(X0,sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_69,plain,
! [X0: $i] :
( cp1(sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_70,plain,
! [X0: $i] :
( rr(X0,sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_71,plain,
! [X0: $i] :
( cp4(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_72,plain,
! [X0: $i] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_73,plain,
! [X0: $i] :
( rr(X0,sK8(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_74,plain,
! [X0: $i] :
( cp2(sK8(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_75,plain,
! [X0: $i] :
( rr(X0,sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_76,plain,
! [X0: $i] :
( cp3(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_77,plain,
! [X0: $i] :
( rr(X0,sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_79,plain,
! [X0: $i] :
( cp3(sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_80,plain,
! [X0: $i] :
( rr(X0,sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_81,plain,
! [X0: $i] :
( cp2(sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_84,plain,
! [X0: $i] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_86,plain,
! [X0: $i] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_87,plain,
! [X0: $i] :
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_90,plain,
! [X0: $i] :
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_93,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f122]) ).
tcf(c_109,plain,
( cp2(sK11(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_110,plain,
( cp3(sK10(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_115,plain,
( cp1(sK6(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_116,plain,
( cp1(sK5(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_129,plain,
( rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_189,plain,
! [X0: $i] :
( cp4(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_213,plain,
! [X0: $i] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
tcf(c_214,plain,
! [X0: $i] :
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(renaming,[status(thm)],[c_213]) ).
tcf(c_221,plain,
! [X0: $i] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_233,plain,
! [X0: $i] :
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i] :
( ~ cp3(X1)
| ~ cUnsatisfiable(X0)
| ( sK7(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_233]) ).
tcf(c_875,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK7(X0)) ),
inference(unflattening,[status(thm)],[c_874]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] :
( ~ cp2(X1)
| ~ cUnsatisfiable(X0)
| ( sK7(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_214]) ).
tcf(c_884,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp2(sK7(X0)) ),
inference(unflattening,[status(thm)],[c_883]) ).
tcf(c_885,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp2(sK7(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_884]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i] :
( ~ cp1(X1)
| ~ cUnsatisfiable(X0)
| ( sK7(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_221]) ).
tcf(c_893,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp1(sK7(X0)) ),
inference(unflattening,[status(thm)],[c_892]) ).
tcf(c_3756,plain,
sP0(i2003_11_14_17_19_21224),
inference(superposition,[status(thm)],[c_93,c_72]) ).
tcf(c_3830,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK6(X0)) ),
inference(superposition,[status(thm)],[c_69,c_86]) ).
tcf(c_3842,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK11(X0)) ),
inference(superposition,[status(thm)],[c_81,c_89]) ).
tcf(c_3847,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp3(sK11(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_3842]) ).
tcf(c_4410,plain,
! [X0: $i] :
( ~ cp2(sK5(X0))
| ~ cp1(sK5(X0)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4411,plain,
( ~ cp2(sK5(i2003_11_14_17_19_21224))
| ~ cp1(sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_4410]) ).
tcf(c_4412,plain,
! [X0: $i] :
( ~ cp2(sK6(X0))
| ~ cp1(sK6(X0)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4413,plain,
( ~ cp2(sK6(i2003_11_14_17_19_21224))
| ~ cp1(sK6(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_4412]) ).
fof(f55,definition,
! [X0] :
( sP0(X0)
<=> ! [X4,X5,X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f56,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X11] :
( cp(X11)
& cp2(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& cp(X10)
& rr(X0,X10) )
& ? [X9] :
( cp3(X9)
& rr(X0,X9) )
& ? [X8] :
( cp2(X8)
& rr(X0,X8) )
& sP0(X0)
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp1(X2)
& rr(X0,X2) )
& ? [X1] :
( cp1(X1)
& cp(X1)
& rr(X0,X1) ) ) ),
inference(definition_folding,[],[f50,f55]) ).
fof(f58,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X4,X5,X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5 ) )
& ( ? [X4,X5,X6,X7] :
( rr(X0,X7)
& rr(X0,X6)
& rr(X0,X5)
& rr(X0,X4)
& X6 != X7
& X5 != X7
& X5 != X6
& X4 != X7
& X4 != X6
& X4 != X5 )
| sP0(X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f59,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X5,X6,X7,X8] :
( ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6 ) )
& ( ? [X1,X2,X3,X4] :
( rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1)
& X3 != X4
& X2 != X4
& X2 != X3
& X1 != X4
& X1 != X3
& X1 != X2 )
| sP0(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X5,X6,X7,X8] :
( ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6 ) )
& ( ( rr(X0,sK4(X0))
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0))
& sK3(X0) != sK4(X0)
& sK2(X0) != sK4(X0)
& sK2(X0) != sK3(X0)
& sK1(X0) != sK4(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0) )
| sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f59]) ).
fof(f82,plain,
! [X0,X8,X6,X7,X5] :
( ~ sP0(X0)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sP0(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK5(X0) = X3 )
| ( sK5(X0) = X2 )
| ( sK5(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ sP0(X0)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_4082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK5(X0) = X3 )
| ( sK5(X0) = X2 )
| ( sK5(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3) ),
inference(global_subsumption_just,[status(thm)],[c_3959,c_72,c_3959]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK5(X0) = X3 )
| ( sK5(X0) = X2 )
| ( sK5(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_4082]) ).
tcf(c_4109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sK6(X0) = X2 )
| ( sK6(X0) = X1 )
| ( sK5(X0) = X2 )
| ( sK5(X0) = X1 )
| ( sK5(X0) = sK6(X0) )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_4083]) ).
tcf(c_4233,plain,
! [X0: $i,X1: $i] :
( ( sK7(X0) = X1 )
| ( sK6(X0) = X1 )
| ( sK6(X0) = sK7(X0) )
| ( sK5(X0) = X1 )
| ( sK5(X0) = sK7(X0) )
| ( sK5(X0) = sK6(X0) )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_70,c_4109]) ).
tcf(c_4342,plain,
! [X0: $i] :
( ( sK7(X0) = sK8(X0) )
| ( sK6(X0) = sK8(X0) )
| ( sK6(X0) = sK7(X0) )
| ( sK5(X0) = sK8(X0) )
| ( sK5(X0) = sK7(X0) )
| ( sK5(X0) = sK6(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_73,c_4233]) ).
tcf(c_4428,plain,
( ( sK7(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(superposition,[status(thm)],[c_93,c_4342]) ).
tcf(c_4454,plain,
( cp2(sK7(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_4428,c_74]) ).
tcf(c_4455,plain,
( cp2(sK7(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4454,c_93]) ).
tcf(c_4487,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ) ),
inference(global_subsumption_just,[status(thm)],[c_4455,c_93,c_885,c_4455]) ).
tcf(c_4488,plain,
( ( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(renaming,[status(thm)],[c_4487]) ).
tcf(c_4502,plain,
( cp2(sK6(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_4488,c_74]) ).
tcf(c_4503,plain,
( cp2(sK6(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4502,c_93]) ).
tcf(c_4533,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ) ),
inference(global_subsumption_just,[status(thm)],[c_4503,c_93,c_115,c_4413,c_4503]) ).
tcf(c_4534,plain,
( ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(renaming,[status(thm)],[c_4533]) ).
tcf(c_4546,plain,
( cp2(sK5(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_4534,c_74]) ).
tcf(c_4547,plain,
( cp2(sK5(i2003_11_14_17_19_21224))
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4546,c_93]) ).
tcf(c_4567,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ) ),
inference(global_subsumption_just,[status(thm)],[c_4547,c_93,c_116,c_4411,c_4547]) ).
tcf(c_4568,plain,
( ( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(renaming,[status(thm)],[c_4567]) ).
tcf(c_4575,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp1(sK6(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4568,c_893]) ).
tcf(c_4577,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp3(sK6(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4568,c_875]) ).
tcf(c_4584,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cp3(sK6(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4577,c_93]) ).
tcf(c_4592,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cp1(sK6(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4575,c_93]) ).
tcf(c_4646,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(global_subsumption_just,[status(thm)],[c_4584,c_93,c_115,c_4592]) ).
tcf(c_4652,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp1(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4646,c_893]) ).
tcf(c_4654,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4646,c_875]) ).
tcf(c_4655,plain,
( rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224))
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_4646,c_70]) ).
tcf(c_4657,plain,
( rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224))
| ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4655,c_93]) ).
tcf(c_4660,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4654,c_93]) ).
tcf(c_4666,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) )
| ~ cp1(sK5(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4652,c_93]) ).
tcf(c_4693,plain,
rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_4657,c_93,c_129]) ).
tcf(c_4698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X2 )
| ( sK5(i2003_11_14_17_19_21224) = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ~ sP0(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(superposition,[status(thm)],[c_4693,c_63]) ).
tcf(c_4699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X2 )
| ( sK5(i2003_11_14_17_19_21224) = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4698,c_3756]) ).
tcf(c_4709,plain,
sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224),
inference(global_subsumption_just,[status(thm)],[c_4660,c_93,c_116,c_4666]) ).
tcf(c_4712,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4709,c_3830]) ).
tcf(c_4714,plain,
( cp1(sK5(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_4709,c_69]) ).
tcf(c_4715,plain,
cp1(sK5(i2003_11_14_17_19_21224)),
inference(forward_subsumption_resolution,[status(thm)],[c_4714,c_93]) ).
tcf(c_4716,plain,
~ cp3(sK5(i2003_11_14_17_19_21224)),
inference(forward_subsumption_resolution,[status(thm)],[c_4712,c_93]) ).
tcf(c_5088,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK11(i2003_11_14_17_19_21224) = X1 )
| ( sK11(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(superposition,[status(thm)],[c_80,c_4699]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK11(i2003_11_14_17_19_21224) = X1 )
| ( sK11(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = X1 )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5088,c_93]) ).
tcf(c_5155,plain,
! [X0: $i] :
( ( sK11(i2003_11_14_17_19_21224) = X0 )
| ( sK10(i2003_11_14_17_19_21224) = X0 )
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(superposition,[status(thm)],[c_77,c_5090]) ).
tcf(c_5158,plain,
! [X0: $i] :
( ( sK11(i2003_11_14_17_19_21224) = X0 )
| ( sK10(i2003_11_14_17_19_21224) = X0 )
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = X0 )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5155,c_93]) ).
tcf(c_5225,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_70,c_5158]) ).
tcf(c_5226,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_73,c_5158]) ).
tcf(c_5227,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_75,c_5158]) ).
tcf(c_5231,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5227,c_93]) ).
tcf(c_5238,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5226,c_93]) ).
tcf(c_5245,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5225,c_93]) ).
tcf(c_5272,plain,
( cp3(sK11(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5231,c_76]) ).
tcf(c_5273,plain,
( cp3(sK11(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5272,c_93]) ).
tcf(c_5287,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ) ),
inference(global_subsumption_just,[status(thm)],[c_5273,c_93,c_3847,c_5273]) ).
tcf(c_5288,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK9(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ) ),
inference(renaming,[status(thm)],[c_5287]) ).
tcf(c_5300,plain,
( cp3(sK10(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5288,c_76]) ).
tcf(c_5301,plain,
( cp3(sK10(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5300,c_93]) ).
tcf(c_5316,plain,
cp3(sK10(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_5301,c_93,c_110]) ).
tcf(c_5390,plain,
( cp2(sK11(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5238,c_74]) ).
tcf(c_5391,plain,
( cp2(sK11(i2003_11_14_17_19_21224))
| ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK8(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5390,c_93]) ).
tcf(c_5422,plain,
cp2(sK11(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_5391,c_93,c_109]) ).
tcf(c_5424,plain,
~ cp3(sK11(i2003_11_14_17_19_21224)),
inference(superposition,[status(thm)],[c_5422,c_89]) ).
tcf(c_5425,plain,
~ cp1(sK11(i2003_11_14_17_19_21224)),
inference(superposition,[status(thm)],[c_5422,c_83]) ).
tcf(c_5474,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp2(sK11(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5245,c_884]) ).
tcf(c_5478,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5474,c_93,c_5422]) ).
tcf(c_5504,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp3(sK10(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5478,c_875]) ).
tcf(c_5507,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5504,c_93,c_5316]) ).
tcf(c_5657,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ cp1(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5507,c_893]) ).
tcf(c_5667,plain,
( ( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5657,c_93,c_4715]) ).
tcf(c_5687,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ~ cp3(sK10(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5667,c_5424]) ).
tcf(c_5692,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) )
| ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5687,c_5316]) ).
tcf(c_5705,plain,
( ( sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) )
| ~ cp1(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5692,c_5425]) ).
tcf(c_5710,plain,
sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224),
inference(forward_subsumption_resolution,[status(thm)],[c_5705,c_4715]) ).
tcf(c_5712,plain,
cp3(sK5(i2003_11_14_17_19_21224)),
inference(demodulation,[status(thm)],[c_5316,c_5710]) ).
tcf(c_5713,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5712,c_4716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:22:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.46/1.28 % SZS status Started for theBenchmark.p
% 3.46/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.28
% 3.46/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.46/1.28
% 3.46/1.28 % ------ iProver source info
% 3.46/1.28
% 3.46/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.46/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.46/1.28 % git: non_committed_changes: false
% 3.46/1.28
% 3.46/1.28 % ------ Parsing...
% 3.46/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.46/1.28
% 3.46/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.46/1.28
% 3.46/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.46/1.28
% 3.46/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.46/1.28 % ------ Proving...
% 3.46/1.28 % ------ Problem Properties
% 3.46/1.28
% 3.46/1.28 %
% 3.46/1.28 % clauses 36
% 3.46/1.28 % conjectures 0
% 3.46/1.28 % EPR 6
% 3.46/1.28 % Horn 31
% 3.46/1.28 % unary 1
% 3.46/1.28 % binary 33
% 3.46/1.28 % lits 97
% 3.46/1.28 % lits eq 12
% 3.46/1.28 % fd_pure 0
% 3.46/1.28 % fd_pseudo 0
% 3.46/1.28 % fd_cond 0
% 3.46/1.28 % fd_pseudo_cond 1
% 3.46/1.28 % AC symbols 0
% 3.46/1.28
% 3.46/1.28 % ------ Schedule dynamic 5 is on
% 3.46/1.28
% 3.46/1.28 % ------ no conjectures: strip conj schedule
% 3.46/1.28
% 3.46/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.46/1.28
% 3.46/1.28
% 3.46/1.28 % ------
% 3.46/1.28 % Current options:
% 3.46/1.28 % ------
% 3.46/1.28
% 3.46/1.28
% 3.46/1.28 %
% 3.46/1.28
% 3.46/1.28 % ------ Proving...
% 3.46/1.28 %
% 3.46/1.28
% 3.46/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.28
% 3.46/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.28
% 3.46/1.28
%------------------------------------------------------------------------------