TSTP Solution File: NUN062+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN062+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 : n018.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 08:45:01 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 99 ( 31 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 104 ( 34 ~; 24 |; 40 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 98 ( 63 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,plain,
$false,
inference(resolution,[],[f133,f81]) ).
fof(f81,plain,
! [X0,X1] : r2(X1,sK18(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK15(X0,X1))
& sK15(X0,X1) = sK17(X0,X1)
& r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f22,f49,f48,f47,f46]) ).
fof(f46,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,sK15(X0,X1)) )
& ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK15(X0,X1)) )
=> ( r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK15(X0,X1) = sK17(X0,X1)
& ? [X5] :
( r3(X0,X5,sK17(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK17(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(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(f133,plain,
! [X0,X1] : ~ r2(X0,X1),
inference(resolution,[],[f132,f102]) ).
fof(f102,plain,
! [X2,X0] :
( ~ r1(X2)
| ~ r2(X0,X2) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,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/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f132,plain,
! [X0] : r1(X0),
inference(forward_demodulation,[],[f130,f129]) ).
fof(f129,plain,
! [X0] : sK1(X0) = X0,
inference(resolution,[],[f85,f98]) ).
fof(f98,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X2] :
( ? [X4] :
( X2 = X4
& r1(X4) )
=> ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
? [X1,X2] :
( ? [X3] :
( X1 = X3
& r3(X0,X2,X3) )
& ! [X4] :
( X2 != X4
| ~ r1(X4) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(f85,plain,
! [X0,X1] : r3(X0,X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f130,plain,
! [X0] : r1(sK1(X0)),
inference(resolution,[],[f85,f99]) ).
fof(f99,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| r1(sK1(X2)) ),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| r1(sK1(X2)) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:51:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.36 % (15003)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (15006)WARNING: value z3 for option sas not known
% 0.21/0.38 % (15007)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (15005)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (15006)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)
% 0.21/0.38 % (15008)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)
% 0.21/0.38 % (15009)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)
% 0.21/0.38 % (15010)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)
% 0.21/0.38 % (15004)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (15009)First to succeed.
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (15009)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15003"
% 0.21/0.38 % (15010)Also succeeded, but the first one will report.
% 0.21/0.38 % (15006)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (15009)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (15009)------------------------------
% 0.21/0.38 % (15009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (15009)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (15009)Memory used [KB]: 852
% 0.21/0.38 % (15009)Time elapsed: 0.006 s
% 0.21/0.38 % (15009)Instructions burned: 6 (million)
% 0.21/0.38 % (15003)Success in time 0.022 s
%------------------------------------------------------------------------------