TSTP Solution File: NUN085+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN085+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 May 21 02:17:57 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 29 unt; 0 def)
% Number of atoms : 205 ( 60 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 206 ( 66 ~; 40 |; 88 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 142 ( 92 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(resolution,[],[f382,f114]) ).
fof(f114,plain,
r1(sK24),
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X1] :
( r1(X1)
| sK24 != X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1] :
( ( sK24 = X1
& r1(X1) )
| ( sK24 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f1,f58]) ).
fof(f58,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK24 = X1
& r1(X1) )
| ( sK24 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f382,plain,
~ r1(sK24),
inference(superposition,[],[f361,f280]) ).
fof(f280,plain,
sK24 = sK23(sK24,sK2),
inference(resolution,[],[f99,f132]) ).
fof(f132,plain,
r3(sK24,sK2,sK24),
inference(backward_demodulation,[],[f127,f122]) ).
fof(f122,plain,
sK4 = sK24,
inference(resolution,[],[f103,f60]) ).
fof(f60,plain,
r1(sK4),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( r1(sK1)
& sK0 = sK1
& r2(sK3,sK2)
& r1(sK3)
& r3(sK4,sK2,sK0)
& r1(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f25,f30,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& ? [X4] :
( r3(X4,X2,X0)
& r1(X4) ) ) )
=> ( ? [X1] :
( r1(X1)
& sK0 = X1 )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& ? [X4] :
( r3(X4,X2,sK0)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X1] :
( r1(X1)
& sK0 = X1 )
=> ( r1(sK1)
& sK0 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& ? [X4] :
( r3(X4,X2,sK0)
& r1(X4) ) )
=> ( ? [X3] :
( r2(X3,sK2)
& r1(X3) )
& ? [X4] :
( r3(X4,sK2,sK0)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X3] :
( r2(X3,sK2)
& r1(X3) )
=> ( r2(sK3,sK2)
& r1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X4] :
( r3(X4,sK2,sK0)
& r1(X4) )
=> ( r3(sK4,sK2,sK0)
& r1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& ? [X4] :
( r3(X4,X2,X0)
& r1(X4) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X1] :
( ~ r1(X1)
| X0 != X1 )
| ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ! [X4] :
( ~ r3(X4,X2,X0)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X16] :
( ~ r1(X16)
| X16 != X38 )
| ! [X21] :
( ! [X15] :
( ~ r2(X15,X21)
| ~ r1(X15) )
| ! [X22] :
( ~ r3(X22,X21,X38)
| ~ r1(X22) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X16] :
( ~ r1(X16)
| X16 != X38 )
| ! [X21] :
( ! [X15] :
( ~ r2(X15,X21)
| ~ r1(X15) )
| ! [X22] :
( ~ r3(X22,X21,X38)
| ~ r1(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplusoneidzero) ).
fof(f103,plain,
! [X1] :
( ~ r1(X1)
| sK24 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f127,plain,
r3(sK4,sK2,sK24),
inference(backward_demodulation,[],[f61,f120]) ).
fof(f120,plain,
sK0 = sK24,
inference(resolution,[],[f103,f115]) ).
fof(f115,plain,
r1(sK0),
inference(forward_demodulation,[],[f65,f64]) ).
fof(f64,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
r1(sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
r3(sK4,sK2,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f99,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK23(X0,X1) = X3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X3] :
( ( sK23(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK23(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f24,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK23(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK23(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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f361,plain,
! [X0] : ~ r1(sK23(X0,sK2)),
inference(superposition,[],[f159,f284]) ).
fof(f284,plain,
! [X0] : sK18(X0,sK24) = sK23(X0,sK2),
inference(resolution,[],[f99,f161]) ).
fof(f161,plain,
! [X0] : r3(X0,sK2,sK18(X0,sK24)),
inference(superposition,[],[f155,f149]) ).
fof(f149,plain,
sK2 = sK13(sK24),
inference(resolution,[],[f79,f131]) ).
fof(f131,plain,
r2(sK24,sK2),
inference(backward_demodulation,[],[f63,f121]) ).
fof(f121,plain,
sK3 = sK24,
inference(resolution,[],[f103,f62]) ).
fof(f62,plain,
r1(sK3),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
r2(sK3,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f79,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK13(X0) = X2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| ( sK13(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f18,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| ( sK13(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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f155,plain,
! [X0,X1] : r3(X0,sK13(X1),sK18(X0,X1)),
inference(backward_demodulation,[],[f119,f148]) ).
fof(f148,plain,
! [X0,X1] : sK13(X0) = sK21(X1,X0),
inference(resolution,[],[f79,f88]) ).
fof(f88,plain,
! [X0,X1] : r2(X1,sK21(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK18(X0,X1))
& sK18(X0,X1) = sK20(X0,X1)
& r3(X0,sK21(X0,X1),sK20(X0,X1))
& r2(X1,sK21(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f22,f52,f51,f50,f49]) ).
fof(f49,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,sK18(X0,X1)) )
& ? [X4] :
( sK18(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK18(X0,X1)) )
=> ( r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X4] :
( sK18(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK18(X0,X1) = sK20(X0,X1)
& ? [X5] :
( r3(X0,X5,sK20(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK20(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK21(X0,X1),sK20(X0,X1))
& r2(X1,sK21(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/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f119,plain,
! [X0,X1] : r3(X0,sK21(X0,X1),sK18(X0,X1)),
inference(forward_demodulation,[],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] : sK18(X0,X1) = sK20(X0,X1),
inference(cnf_transformation,[],[f53]) ).
fof(f89,plain,
! [X0,X1] : r3(X0,sK21(X0,X1),sK20(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f159,plain,
! [X0,X1] : ~ r1(sK18(X0,X1)),
inference(resolution,[],[f91,f107]) ).
fof(f107,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f91,plain,
! [X0,X1] : r2(sK19(X0,X1),sK18(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN085+2 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n017.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 : Sat May 18 15:03:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25869)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25872)WARNING: value z3 for option sas not known
% 0.14/0.38 % (25871)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 % (25870)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (25873)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (25872)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 % (25874)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 % (25875)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 % (25876)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 [1]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (25875)First to succeed.
% 0.14/0.39 % (25872)Also succeeded, but the first one will report.
% 0.14/0.39 % (25875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25869"
% 0.14/0.39 % (25875)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 % (25875)------------------------------
% 0.14/0.39 % (25875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (25875)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (25875)Memory used [KB]: 955
% 0.14/0.39 % (25875)Time elapsed: 0.014 s
% 0.14/0.39 % (25875)Instructions burned: 19 (million)
% 0.14/0.39 % (25869)Success in time 0.019 s
%------------------------------------------------------------------------------