TSTP Solution File: KRS140+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:33:45 EDT 2024
% Result : Theorem 2.10s 1.17s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 114 ( 14 unt; 0 def)
% Number of atoms : 417 ( 91 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 533 ( 230 ~; 249 |; 37 &)
% ( 5 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 144 ( 25 sgn 52 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
! [X3,X4] :
( rsymProp(X3,X4)
=> ( ib = X4
| ia = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
! [X3,X4] :
( rsymProp(X3,X4)
=> rsymProp(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f15,conjecture,
( ? [X3] :
( cowlThing(X3)
& rsymProp(ia,X3) )
& ! [X3,X4,X5] :
( ( rsymProp(X4,X5)
& rsymProp(X3,X4) )
=> rsymProp(X3,X5) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f16,negated_conjecture,
~ ( ? [X3] :
( cowlThing(X3)
& rsymProp(ia,X3) )
& ! [X3,X4,X5] :
( ( rsymProp(X4,X5)
& rsymProp(X3,X4) )
=> rsymProp(X3,X5) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f7]) ).
fof(f18,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( rsymProp(X0,X1)
=> ( ib = X1
| ia = X1 ) ),
inference(rectify,[],[f9]) ).
fof(f20,plain,
! [X0,X1] :
( rsymProp(X0,X1)
=> rsymProp(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f21,plain,
~ ( ? [X0] :
( cowlThing(X0)
& rsymProp(ia,X0) )
& ! [X1,X2,X3] :
( ( rsymProp(X2,X3)
& rsymProp(X1,X2) )
=> rsymProp(X1,X3) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X5] :
( ~ cowlNothing(X5)
& cowlThing(X5) ) ),
inference(rectify,[],[f16]) ).
fof(f34,plain,
! [X0,X1] :
( ib = X1
| ia = X1
| ~ rsymProp(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1] :
( ib = X1
| ia = X1
| ~ rsymProp(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( rsymProp(X1,X0)
| ~ rsymProp(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f37,plain,
( ! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0) )
| ? [X1,X2,X3] :
( ~ rsymProp(X1,X3)
& rsymProp(X2,X3)
& rsymProp(X1,X2) )
| ? [X4] :
( xsd_string(X4)
<~> ~ xsd_integer(X4) )
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f38,plain,
( ! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0) )
| ? [X1,X2,X3] :
( ~ rsymProp(X1,X3)
& rsymProp(X2,X3)
& rsymProp(X1,X2) )
| ? [X4] :
( xsd_string(X4)
<~> ~ xsd_integer(X4) )
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f40,plain,
( ! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0) )
| ? [X1,X2,X3] :
( ~ rsymProp(X1,X3)
& rsymProp(X2,X3)
& rsymProp(X1,X2) )
| ? [X4] :
( ( xsd_integer(X4)
| ~ xsd_string(X4) )
& ( ~ xsd_integer(X4)
| xsd_string(X4) ) )
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f41,plain,
( ? [X1,X2,X3] :
( ~ rsymProp(X1,X3)
& rsymProp(X2,X3)
& rsymProp(X1,X2) )
=> ( ~ rsymProp(sK0,sK2)
& rsymProp(sK1,sK2)
& rsymProp(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X4] :
( ( xsd_integer(X4)
| ~ xsd_string(X4) )
& ( ~ xsd_integer(X4)
| xsd_string(X4) ) )
=> ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) )
=> ( cowlNothing(sK4)
| ~ cowlThing(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0) )
| ( ~ rsymProp(sK0,sK2)
& rsymProp(sK1,sK2)
& rsymProp(sK0,sK1) )
| ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) )
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f40,f43,f42,f41]) ).
fof(f51,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f53,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
! [X0,X1] :
( ib = X1
| ia = X1
| ~ rsymProp(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( rsymProp(X1,X0)
| ~ rsymProp(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f12]) ).
fof(f60,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f14]) ).
fof(f61,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| rsymProp(sK0,sK1)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| rsymProp(sK0,sK1)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f63,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| rsymProp(sK1,sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f64,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| rsymProp(sK1,sK2)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f66,plain,
! [X0] :
( ~ cowlThing(X0)
| ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f52]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f51]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_53,plain,
( ~ rsymProp(X0,X1)
| X1 = ib
| X1 = ia ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_54,plain,
( ~ rsymProp(X0,X1)
| rsymProp(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_56,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f58]) ).
cnf(c_58,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f60]) ).
cnf(c_59,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| xsd_integer(sK3) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_60,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_integer(sK3)
| cowlNothing(sK4)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_61,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_string(sK3)
| rsymProp(sK1,sK2)
| cowlNothing(sK4)
| xsd_integer(sK3) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_62,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_integer(sK3)
| rsymProp(sK1,sK2)
| cowlNothing(sK4)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_63,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_string(sK3)
| rsymProp(sK0,sK1)
| cowlNothing(sK4)
| xsd_integer(sK3) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_64,negated_conjecture,
( ~ rsymProp(ia,X0)
| ~ cowlThing(X0)
| ~ cowlThing(sK4)
| ~ xsd_integer(sK3)
| rsymProp(sK0,sK1)
| cowlNothing(sK4)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_92,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_string(sK3)
| rsymProp(sK1,sK2)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_49,c_50,c_50]) ).
cnf(c_97,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK1,sK2)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92,c_51]) ).
cnf(c_101,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_integer(sK3)
| rsymProp(sK1,sK2)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_49,c_50,c_50]) ).
cnf(c_106,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK1,sK2)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101,c_51]) ).
cnf(c_110,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_string(sK3)
| rsymProp(sK0,sK1)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_49,c_50,c_50]) ).
cnf(c_115,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK0,sK1)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110,c_51]) ).
cnf(c_119,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_integer(sK3)
| rsymProp(sK0,sK1)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_49,c_50,c_50]) ).
cnf(c_124,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK0,sK1)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119,c_51]) ).
cnf(c_128,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ xsd_string(sK3)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_49,c_50,c_50]) ).
cnf(c_133,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| xsd_integer(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128,c_51]) ).
cnf(c_137,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_49,c_50,c_50]) ).
cnf(c_142,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| xsd_string(sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137,c_51]) ).
cnf(c_160,plain,
( X0 != sK3
| ~ rsymProp(ia,X1)
| ~ rsymProp(sK0,sK2)
| ~ xsd_integer(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_142]) ).
cnf(c_161,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2)
| ~ xsd_integer(sK3) ),
inference(unflattening,[status(thm)],[c_160]) ).
cnf(c_163,plain,
( ~ rsymProp(sK0,sK2)
| ~ rsymProp(ia,X0) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_133,c_161]) ).
cnf(c_164,plain,
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK0,sK2) ),
inference(renaming,[status(thm)],[c_163]) ).
cnf(c_172,plain,
( X0 != sK3
| ~ rsymProp(ia,X1)
| ~ xsd_integer(X0)
| rsymProp(sK0,sK1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_124]) ).
cnf(c_173,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_integer(sK3)
| rsymProp(sK0,sK1) ),
inference(unflattening,[status(thm)],[c_172]) ).
cnf(c_175,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_173,c_115,c_173]) ).
cnf(c_184,plain,
( X0 != sK3
| ~ rsymProp(ia,X1)
| ~ xsd_integer(X0)
| rsymProp(sK1,sK2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_106]) ).
cnf(c_185,plain,
( ~ rsymProp(ia,X0)
| ~ xsd_integer(sK3)
| rsymProp(sK1,sK2) ),
inference(unflattening,[status(thm)],[c_184]) ).
cnf(c_187,plain,
( ~ rsymProp(ia,X0)
| rsymProp(sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_97,c_185]) ).
cnf(c_226,plain,
X0 = X0,
theory(equality) ).
cnf(c_228,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_229,plain,
( X0 != X1
| X2 != X3
| ~ rsymProp(X1,X3)
| rsymProp(X0,X2) ),
theory(equality) ).
cnf(c_234,plain,
( ~ rsymProp(ia,ia)
| rsymProp(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_235,plain,
( ~ rsymProp(ia,ia)
| rsymProp(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_242,plain,
( ~ rsymProp(sK0,sK1)
| sK1 = ib
| sK1 = ia ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_243,plain,
( ~ rsymProp(sK0,sK1)
| rsymProp(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_246,plain,
( ~ rsymProp(sK1,sK2)
| sK2 = ib
| sK2 = ia ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_247,plain,
( ~ rsymProp(sK1,sK2)
| rsymProp(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_263,plain,
( ~ rsymProp(sK1,sK0)
| sK0 = ib
| sK0 = ia ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_267,plain,
( ~ rsymProp(sK2,sK1)
| sK1 = ib
| sK1 = ia ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_291,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_357,plain,
sK0 = sK0,
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_496,plain,
( ~ rsymProp(ia,ia)
| ~ rsymProp(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_501,plain,
( X0 != ia
| X1 != ia
| ~ rsymProp(ia,ia)
| rsymProp(X0,X1) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_502,plain,
( X0 != ib
| X1 != ib
| ~ rsymProp(ib,ib)
| rsymProp(X0,X1) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_505,plain,
( X0 != sK0
| X1 != sK1
| ~ rsymProp(sK0,sK1)
| rsymProp(X0,X1) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_508,plain,
( X0 != sK1
| X1 != sK2
| ~ rsymProp(sK1,sK2)
| rsymProp(X0,X1) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_535,plain,
( X0 != X1
| sK1 != X1
| X0 = sK1 ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_536,plain,
( X0 != sK1
| sK2 != sK2
| ~ rsymProp(sK1,sK2)
| rsymProp(X0,sK2) ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_538,plain,
( X0 != X1
| sK2 != X1
| X0 = sK2 ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_555,plain,
( X0 != ib
| sK0 != ib
| ~ rsymProp(ib,ib)
| rsymProp(X0,sK0) ),
inference(instantiation,[status(thm)],[c_502]) ).
cnf(c_569,plain,
( X0 != ib
| sK1 != ib
| X0 = sK1 ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_572,plain,
( X0 != X1
| sK2 != X1
| sK2 = X0 ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_573,plain,
( X0 != ia
| sK2 != ia
| X0 = sK2 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_636,plain,
( sK0 != ib
| sK1 != ib
| sK0 = sK1 ),
inference(instantiation,[status(thm)],[c_569]) ).
cnf(c_641,plain,
( X0 != sK2
| sK2 != sK2
| sK2 = X0 ),
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_726,plain,
( sK2 != ia
| sK1 != ia
| sK1 = sK2 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_731,plain,
( X0 != ia
| sK1 != ia
| X0 = sK1 ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_758,plain,
( X0 != ia
| sK0 != ia
| ~ rsymProp(ia,ia)
| rsymProp(X0,sK0) ),
inference(instantiation,[status(thm)],[c_501]) ).
cnf(c_856,plain,
( sK2 != sK2
| sK1 != sK2
| sK2 = sK1 ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_889,plain,
( sK0 != ia
| sK1 != ia
| sK0 = sK1 ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_932,plain,
( X0 != sK0
| sK2 != sK1
| ~ rsymProp(sK0,sK1)
| rsymProp(X0,sK2) ),
inference(instantiation,[status(thm)],[c_505]) ).
cnf(c_1029,plain,
( sK0 != ib
| sK2 != ib
| ~ rsymProp(ib,ib)
| rsymProp(sK2,sK0) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1030,plain,
( sK2 != ib
| sK1 != ib
| sK2 = sK1 ),
inference(instantiation,[status(thm)],[c_569]) ).
cnf(c_1196,plain,
( sK0 != sK1
| sK2 != sK2
| ~ rsymProp(sK1,sK2)
| rsymProp(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_1208,plain,
( sK0 != ia
| sK2 != ia
| ~ rsymProp(ia,ia)
| rsymProp(sK2,sK0) ),
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_1962,plain,
( sK0 != sK0
| sK2 != sK1
| ~ rsymProp(sK0,sK1)
| rsymProp(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_932]) ).
cnf(c_1968,plain,
( ~ rsymProp(sK2,sK0)
| rsymProp(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2118,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1968,c_1962,c_1208,c_1196,c_1029,c_1030,c_889,c_856,c_726,c_636,c_496,c_357,c_291,c_267,c_263,c_246,c_247,c_242,c_243,c_235,c_234,c_56,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:55:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.10/1.17 % SZS status Started for theBenchmark.p
% 2.10/1.17 % SZS status Theorem for theBenchmark.p
% 2.10/1.17
% 2.10/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.10/1.17
% 2.10/1.17 ------ iProver source info
% 2.10/1.17
% 2.10/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.10/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.10/1.17 git: non_committed_changes: false
% 2.10/1.17
% 2.10/1.17 ------ Parsing...
% 2.10/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_eq
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing... sup_sim: 8 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_eq
% 2.10/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Option_epr_non_horn_eq
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.10/1.17 ------ Proving...
% 2.10/1.17 ------ Problem Properties
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 clauses 7
% 2.10/1.17 conjectures 0
% 2.10/1.17 EPR 7
% 2.10/1.17 Horn 6
% 2.10/1.17 unary 2
% 2.10/1.17 binary 4
% 2.10/1.17 lits 13
% 2.10/1.17 lits eq 2
% 2.10/1.17 fd_pure 0
% 2.10/1.17 fd_pseudo 0
% 2.10/1.17 fd_cond 1
% 2.10/1.17 fd_pseudo_cond 0
% 2.10/1.17 AC symbols 0
% 2.10/1.17
% 2.10/1.17 ------ Schedule EPR non Horn eq is on
% 2.10/1.17
% 2.10/1.17 ------ no conjectures: strip conj schedule
% 2.10/1.17
% 2.10/1.17 ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------
% 2.10/1.17 Current options:
% 2.10/1.17 ------
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------ Proving...
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 % SZS status Theorem for theBenchmark.p
% 2.10/1.17
% 2.10/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.10/1.17
% 2.10/1.17
%------------------------------------------------------------------------------