TSTP Solution File: NUM835+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 08:42:29 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 120 ( 34 unt; 0 def)
% Number of atoms : 283 ( 248 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 268 ( 105 ~; 103 |; 16 &)
% ( 2 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 150 ( 132 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f785,plain,
$false,
inference(subsumption_resolution,[],[f771,f78]) ).
fof(f78,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( vd165 != vd151
& ! [X0] : vd151 != vplus(vd165,X0)
& ! [X1] : vd165 != vplus(vd151,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ( vd165 = vd151
| ? [X0] : vd151 = vplus(vd165,X0)
| ? [X1] : vd165 = vplus(vd151,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( vd165 = vd151
| ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( vd165 = vd151
| ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(f771,plain,
vd165 = vd151,
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
( vd165 != vd165
| vd151 != vd151
| vd165 = vd151 ),
inference(superposition,[],[f76,f313]) ).
fof(f313,plain,
! [X0] :
( vd165 = vplus(X0,sK0(X0,vd165))
| vd151 != X0
| vd165 = X0 ),
inference(superposition,[],[f77,f125]) ).
fof(f125,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK0(X0,X1)) = X1
| X0 = X1 ),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89,f119,f90,f120,f106,f108,f121,f94,f122,f95,f123,f96,f124,f97,f98,f100,f99,f109,f110,f111,f101]) ).
fof(f101,plain,
! [X0,X1] :
( vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| X0 = X1
| ~ m(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( m(X1)
| ( ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0
& X0 != X1 ) )
& ( vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| X0 = X1
| ~ m(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f72,f74,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X4] : vplus(X0,X4) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X5] : vplus(X1,X5) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ( m(X1)
| ( ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0
& X0 != X1 ) )
& ( ? [X4] : vplus(X0,X4) = X1
| ? [X5] : vplus(X1,X5) = X0
| X0 = X1
| ~ m(X1) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( m(X1)
| ( ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0
& X0 != X1 ) )
& ( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1
| ~ m(X1) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( m(X1)
| ( ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0
& X0 != X1 ) )
& ( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1
| ~ m(X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( m(X1)
<=> ( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X3] :
( m(X3)
<=> ( ? [X5] : vplus(X2,X5) = X3
| ? [X4] : vplus(X3,X4) = X2
| X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof(f111,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( m(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f110,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f103]) ).
fof(f103,plain,
! [X3,X0,X1] :
( m(X1)
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f109,plain,
! [X2,X0] : m(vplus(X0,X2)),
inference(equality_resolution,[],[f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( m(X1)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f99,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X14,X15] :
( vplus(X14,v1) = vsucc(X14)
& vplus(X14,vsucc(X15)) = vsucc(vplus(X14,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f100,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f41]) ).
fof(f98,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X9] : vplus(vsucc(X8),X9) = vsucc(vplus(X8,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f97,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X6,X7] : vplus(X7,X6) = vplus(X6,X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f124,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89,f119,f90,f120,f106,f108,f121,f94,f122,f95,f123,f96]) ).
fof(f96,plain,
! [X0] :
( vsucc(vplus(vd151,X0)) = vplus(vd151,vsucc(X0))
| vd165 != vplus(vd151,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( vsucc(vplus(vd151,X0)) = vplus(vd151,vsucc(X0))
| vd165 != vplus(vd151,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( vd165 = vplus(vd151,X0)
=> vsucc(vplus(vd151,X0)) = vplus(vd151,vsucc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 2), 1)') ).
fof(f123,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89,f119,f90,f120,f106,f108,f121,f94,f122,f95]) ).
fof(f95,plain,
! [X0] :
( vsucc(vd165) = vsucc(vplus(vd151,X0))
| vd165 != vplus(vd151,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( vsucc(vd165) = vsucc(vplus(vd151,X0))
| vd165 != vplus(vd151,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( vd165 = vplus(vd151,X0)
=> vsucc(vd165) = vsucc(vplus(vd151,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 2), 2)') ).
fof(f122,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89,f119,f90,f120,f106,f108,f121,f94]) ).
fof(f94,plain,
! [X0] :
( m(vsucc(vd165))
| vd165 != vplus(vd151,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( m(vsucc(vd165))
| vd165 != vplus(vd151,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( vd165 = vplus(vd151,X0)
=> m(vsucc(vd165)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 2), 0)') ).
fof(f121,plain,
( vd151 = vsucc(vd165)
| vd151 != vplus(vd165,v1) ),
inference(inner_rewriting,[],[f108]) ).
fof(f108,plain,
( vsucc(vd165) = vplus(vd165,v1)
| vd151 != vplus(vd165,v1) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X0] :
( vsucc(vd165) = vplus(vd165,v1)
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( vsucc(vd165) = vplus(vd165,v1)
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( vsucc(vd165) = vplus(vd165,v1)
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 = X0
=> vsucc(vd165) = vplus(vd165,v1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 = X1
=> vsucc(vd165) = vplus(vd165,v1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 7)') ).
fof(f106,plain,
( m(vsucc(vd165))
| vd151 != vplus(vd165,v1) ),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X0] :
( m(vsucc(vd165))
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( m(vsucc(vd165))
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( m(vsucc(vd165))
| v1 != X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 = X0
=> m(vsucc(vd165)) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 = X1
=> m(vsucc(vd165)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 6)') ).
fof(f120,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89,f119,f90]) ).
fof(f90,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 2)') ).
fof(f119,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88,f118,f89]) ).
fof(f89,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vsucc(vd165),vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vsucc(vd165),vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( vplus(vplus(vd165,v1),vskolem3) = vplus(vsucc(vd165),vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> vplus(vplus(vd165,v1),vskolem3) = vplus(vsucc(vd165),vskolem3) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> vplus(vplus(vd165,v1),vskolem3) = vplus(vsucc(vd165),vskolem3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 1)') ).
fof(f118,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87,f117,f88]) ).
fof(f88,plain,
! [X0] :
( vd151 = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( vd151 = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( vd151 = vplus(vd165,vplus(v1,vskolem3))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> vd151 = vplus(vd165,vplus(v1,vskolem3)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> vd151 = vplus(vd165,vplus(v1,vskolem3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 3)') ).
fof(f117,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86,f116,f87]) ).
fof(f87,plain,
! [X0] :
( vplus(v1,vskolem3) = vsucc(vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( vplus(v1,vskolem3) = vsucc(vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( vplus(v1,vskolem3) = vsucc(vskolem3)
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> vplus(v1,vskolem3) = vsucc(vskolem3) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> vplus(v1,vskolem3) = vsucc(vskolem3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 4)') ).
fof(f116,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85,f115,f86]) ).
fof(f86,plain,
! [X0] :
( vsucc(vskolem3) = X0
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( vsucc(vskolem3) = X0
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( vsucc(vskolem3) = X0
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> vsucc(vskolem3) = X0 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> vsucc(vskolem3) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 5)') ).
fof(f115,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81,f114,f82,f83,f84,f85]) ).
fof(f85,plain,
! [X0] :
( m(vsucc(vd165))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( m(vsucc(vd165))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( m(vsucc(vd165))
| v1 = X0
| vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( vd151 = vplus(vd165,X0)
=> ( v1 != X0
=> m(vsucc(vd165)) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] :
( vd151 = vplus(vd165,X1)
=> ( v1 != X1
=> m(vsucc(vd165)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 1), 0)') ).
fof(f84,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X16] :
( v1 != X16
=> vsucc(vskolem2(X16)) = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f83,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X10] : vplus(v1,X10) = vsucc(X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f82,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X17] : vsucc(X17) != X17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f114,plain,
vd165 != vd151,
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80,f113,f81]) ).
fof(f81,plain,
( vplus(vd165,v1) = vplus(vd151,v1)
| vd165 != vd151 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( vplus(vd165,v1) = vplus(vd151,v1)
| vd165 != vd151 ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
( vd165 = vd151
=> vplus(vd165,v1) = vplus(vd151,v1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 0), 1)') ).
fof(f113,plain,
vd165 != vd151,
inference(global_subsumption,[],[f78,f77,f76,f79,f112,f80]) ).
fof(f80,plain,
( vsucc(vd165) = vplus(vd165,v1)
| vd165 != vd151 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( vsucc(vd165) = vplus(vd165,v1)
| vd165 != vd151 ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
( vd165 = vd151
=> vsucc(vd165) = vplus(vd165,v1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 0), 2)') ).
fof(f112,plain,
vd165 != vd151,
inference(global_subsumption,[],[f78,f77,f76,f79]) ).
fof(f79,plain,
( m(vsucc(vd165))
| vd165 != vd151 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( m(vsucc(vd165))
| vd165 != vd151 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
( vd165 = vd151
=> m(vsucc(vd165)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(110), 0), 0)') ).
fof(f77,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f76,plain,
! [X1] : vd165 != vplus(vd151,X1),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 14:38:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (5579)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (5583)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 TRYING [3]
% 0.20/0.36 % (5582)WARNING: value z3 for option sas not known
% 0.20/0.36 % (5580)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36 TRYING [4]
% 0.20/0.36 % (5582)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.36 % (5581)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36 % (5585)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.36 % (5584)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.36 % (5586)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [5]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 % (5582)First to succeed.
% 0.20/0.39 % (5582)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5579"
% 0.20/0.39 % (5582)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (5582)------------------------------
% 0.20/0.39 % (5582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (5582)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (5582)Memory used [KB]: 1012
% 0.20/0.39 % (5582)Time elapsed: 0.026 s
% 0.20/0.39 % (5582)Instructions burned: 44 (million)
% 0.20/0.39 % (5579)Success in time 0.043 s
%------------------------------------------------------------------------------