TSTP Solution File: NUN071+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 14:40:21 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 108 ( 48 unt; 0 def)
% Number of atoms : 315 ( 93 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 289 ( 82 ~; 50 |; 140 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 269 ( 182 !; 87 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(resolution,[],[f322,f96]) ).
fof(f96,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X0] :
( r2(X0,X2)
| sK8(X0) != X2 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f322,plain,
~ r2(sK19,sK8(sK19)),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( ~ r2(sK19,sK8(sK19))
| ~ r2(sK19,sK8(sK19)) ),
inference(forward_demodulation,[],[f320,f260]) ).
fof(f260,plain,
! [X0] : sK8(X0) = sK13(X0,sK19),
inference(resolution,[],[f257,f68]) ).
fof(f68,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK8(X0) = X2 ),
inference(cnf_transformation,[],[f37]) ).
fof(f257,plain,
! [X0] : r2(X0,sK13(X0,sK19)),
inference(superposition,[],[f249,f241]) ).
fof(f241,plain,
! [X0] : sK18(X0,sK19) = X0,
inference(resolution,[],[f88,f119]) ).
fof(f119,plain,
! [X0] : r3(X0,sK19,X0),
inference(backward_demodulation,[],[f106,f111]) ).
fof(f111,plain,
! [X0] : sK7(X0) = sK19,
inference(resolution,[],[f92,f63]) ).
fof(f63,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sK6(X0) = X0
& r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f17,f34,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK6(X0) = X0
& ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) )
=> ( r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f92,plain,
! [X1] :
( ~ r1(X1)
| sK19 = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f52]) ).
fof(f52,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f106,plain,
! [X0] : r3(X0,sK7(X0),X0),
inference(forward_demodulation,[],[f64,f65]) ).
fof(f65,plain,
! [X0] : sK6(X0) = X0,
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK18(X0,X1) = X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X3] :
( ( sK18(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK18(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f24,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK18(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK18(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f249,plain,
! [X0,X1] : r2(sK18(X0,X1),sK13(X0,X1)),
inference(backward_demodulation,[],[f80,f242]) ).
fof(f242,plain,
! [X0,X1] : sK14(X0,X1) = sK18(X0,X1),
inference(resolution,[],[f88,f81]) ).
fof(f81,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& sK13(X0,X1) = sK15(X0,X1)
& r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f22,f46,f45,f44,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
=> ( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK13(X0,X1) = sK15(X0,X1)
& ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f80,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f320,plain,
( ~ r2(sK19,sK13(sK19,sK19))
| ~ r2(sK19,sK8(sK19)) ),
inference(forward_demodulation,[],[f319,f244]) ).
fof(f244,plain,
! [X0,X1] : sK13(X0,X1) = sK18(X0,sK8(X1)),
inference(resolution,[],[f88,f129]) ).
fof(f129,plain,
! [X0,X1] : r3(X0,sK8(X1),sK13(X0,X1)),
inference(backward_demodulation,[],[f108,f125]) ).
fof(f125,plain,
! [X0,X1] : sK8(X0) = sK16(X1,X0),
inference(resolution,[],[f68,f77]) ).
fof(f77,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK13(X0,X1)),
inference(forward_demodulation,[],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] : sK13(X0,X1) = sK15(X0,X1),
inference(cnf_transformation,[],[f47]) ).
fof(f78,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f319,plain,
( ~ r2(sK19,sK18(sK19,sK8(sK19)))
| ~ r2(sK19,sK8(sK19)) ),
inference(superposition,[],[f310,f252]) ).
fof(f252,plain,
! [X0] : sK9(X0,sK19) = sK18(sK19,X0),
inference(resolution,[],[f240,f88]) ).
fof(f240,plain,
! [X0] : r3(sK19,X0,sK9(X0,sK19)),
inference(superposition,[],[f201,f197]) ).
fof(f197,plain,
! [X0] : sK19 = sK17(X0,sK19),
inference(resolution,[],[f84,f116]) ).
fof(f116,plain,
! [X0] : r4(X0,sK19,sK19),
inference(backward_demodulation,[],[f113,f110]) ).
fof(f110,plain,
! [X0] : sK5(X0) = sK19,
inference(resolution,[],[f92,f59]) ).
fof(f59,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sK3(X0) = sK4(X0)
& r1(sK4(X0))
& r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f16,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
=> ( sK3(X0) = sK4(X0)
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) )
=> ( r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f113,plain,
! [X0] : r4(X0,sK5(X0),sK19),
inference(backward_demodulation,[],[f60,f109]) ).
fof(f109,plain,
! [X0] : sK3(X0) = sK19,
inference(resolution,[],[f92,f105]) ).
fof(f105,plain,
! [X0] : r1(sK3(X0)),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f62,plain,
! [X0] : sK3(X0) = sK4(X0),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0] : r4(X0,sK5(X0),sK3(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f84,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK17(X0,X1) = X3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X3] :
( ( sK17(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f23,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK17(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f201,plain,
! [X0,X1] : r3(sK17(X0,X1),X0,sK9(X0,X1)),
inference(backward_demodulation,[],[f75,f198]) ).
fof(f198,plain,
! [X0,X1] : sK10(X0,X1) = sK17(X0,X1),
inference(resolution,[],[f84,f76]) ).
fof(f76,plain,
! [X0,X1] : r4(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1))
& sK9(X0,X1) = sK11(X0,X1)
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f21,f41,f40,f39,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
& ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
=> ( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK9(X0,X1) = sK11(X0,X1)
& ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f75,plain,
! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f310,plain,
! [X0] :
( ~ r2(sK19,sK9(sK8(X0),X0))
| ~ r2(sK19,sK8(X0)) ),
inference(superposition,[],[f190,f200]) ).
fof(f200,plain,
! [X0,X1] : sK9(X0,X1) = sK17(X0,sK8(X1)),
inference(resolution,[],[f84,f127]) ).
fof(f127,plain,
! [X0,X1] : r4(X0,sK8(X1),sK9(X0,X1)),
inference(backward_demodulation,[],[f107,f124]) ).
fof(f124,plain,
! [X0,X1] : sK8(X0) = sK12(X1,X0),
inference(resolution,[],[f68,f72]) ).
fof(f72,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f107,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK9(X0,X1)),
inference(forward_demodulation,[],[f73,f74]) ).
fof(f74,plain,
! [X0,X1] : sK9(X0,X1) = sK11(X0,X1),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f190,plain,
! [X0] :
( ~ r2(sK19,sK17(X0,X0))
| ~ r2(sK19,X0) ),
inference(resolution,[],[f183,f104]) ).
fof(f104,plain,
r1(sK19),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X1] :
( r1(X1)
| sK19 != X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f183,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(sK19,X1)
| ~ r2(X0,sK17(X1,X1)) ),
inference(resolution,[],[f158,f104]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ r1(X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,sK17(X2,X2)) ),
inference(resolution,[],[f94,f100]) ).
fof(f100,plain,
! [X0,X1] : r4(X0,X1,sK17(X0,X1)),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X3,X0,X1] :
( r4(X0,X1,X3)
| sK17(X0,X1) != X3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f94,plain,
! [X2,X3,X1,X4] :
( ~ r4(X3,X3,X1)
| ~ r1(X2)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X2,X1) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X2,X1)
| ~ r1(X2)
| X0 != X1
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r4(X3,X3,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| X0 != X1 )
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ~ r4(X3,X3,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& X0 = X1 )
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& r1(X4) )
& r4(X3,X3,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( ? [X15] :
( r2(X15,X21)
& r1(X15) )
& r4(X21,X21,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( ? [X15] :
( r2(X15,X21)
& r1(X15) )
& r4(X21,X21,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimesoneeqone) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:48:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27899)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27902)WARNING: value z3 for option sas not known
% 0.14/0.38 % (27903)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (27900)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27901)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (27905)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)
% 0.14/0.38 % (27904)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)
% 0.14/0.38 % (27902)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)
% 0.14/0.38 % (27906)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (27905)First to succeed.
% 0.14/0.39 % (27905)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (27905)------------------------------
% 0.14/0.39 % (27905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (27905)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (27905)Memory used [KB]: 951
% 0.14/0.39 % (27905)Time elapsed: 0.013 s
% 0.14/0.39 % (27905)Instructions burned: 18 (million)
% 0.14/0.39 % (27905)------------------------------
% 0.14/0.39 % (27905)------------------------------
% 0.14/0.39 % (27899)Success in time 0.03 s
%------------------------------------------------------------------------------