TSTP Solution File: GEO500+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 05:18:03 EDT 2024
% Result : Theorem 205.52s 29.64s
% Output : Refutation 205.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 25 unt; 0 def)
% Number of atoms : 116 ( 47 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 107 ( 53 ~; 45 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 126 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80662,plain,
$false,
inference(trivial_inequality_removal,[],[f80661]) ).
fof(f80661,plain,
sK0 != sK0,
inference(superposition,[],[f240,f50000]) ).
fof(f50000,plain,
sK0 = sK1,
inference(trivial_inequality_removal,[],[f49837]) ).
fof(f49837,plain,
( sK1 != sK1
| sK0 = sK1 ),
inference(superposition,[],[f265,f45815]) ).
fof(f45815,plain,
sK1 = s(sK0,sK1),
inference(resolution,[],[f45648,f775]) ).
fof(f775,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X2,s(X1,X0))
| X1 = X2 ),
inference(resolution,[],[f330,f255]) ).
fof(f255,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X12,X11] : s_m(X12,X11,s(X11,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2)
| X1 = X3 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X12,X11,X15,X14] :
( X11 = X14
| ~ s_m(X12,X14,X15)
| ~ s_m(X12,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_17) ).
fof(f45648,plain,
s_m(sK2,s(sK0,sK1),s(sK1,sK2)),
inference(superposition,[],[f255,f45558]) ).
fof(f45558,plain,
s(sK1,sK2) = s(s(sK0,sK1),sK2),
inference(resolution,[],[f31599,f18880]) ).
fof(f18880,plain,
s_t(sK2,s(sK0,sK1),s(sK1,sK2)),
inference(resolution,[],[f2990,f11480]) ).
fof(f11480,plain,
s_t(s(sK0,sK2),sK1,s(sK0,s(sK1,sK2))),
inference(resolution,[],[f11421,f255]) ).
fof(f11421,plain,
! [X0] :
( ~ s_m(s(sK0,s(sK1,sK2)),sK1,s(sK1,X0))
| s_t(s(sK0,sK2),sK1,X0) ),
inference(resolution,[],[f11413,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) )
& ( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) )
& ( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X11,X28,X14] :
( ( s_m(X11,X28,X14)
| ~ s_e(X28,X11,X28,X14)
| ~ s_t(X11,X28,X14) )
& ( s_e(X28,X11,X28,X14)
| ~ s_m(X11,X28,X14) )
& ( s_t(X11,X28,X14)
| ~ s_m(X11,X28,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f11413,plain,
! [X0] :
( ~ s_t(s(sK0,s(sK1,sK2)),sK1,s(sK1,X0))
| s_t(s(sK0,sK2),sK1,X0) ),
inference(superposition,[],[f2987,f412]) ).
fof(f412,plain,
! [X1] : s(X1,X1) = X1,
inference(equality_resolution,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X11,X12] :
( X11 != X12
| s(X11,X12) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(f2987,plain,
! [X0,X1] :
( ~ s_t(s(sK0,s(sK1,sK2)),s(sK1,X0),s(sK1,X1))
| s_t(s(sK0,sK2),X0,X1) ),
inference(superposition,[],[f342,f239]) ).
fof(f239,plain,
s(sK0,s(sK1,sK2)) = s(sK1,s(sK0,sK2)),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( sK0 != sK1
& s(sK0,s(sK1,sK2)) = s(sK1,s(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f236,f237]) ).
fof(f237,plain,
( ? [X0,X1,X2] :
( X0 != X1
& s(X0,s(X1,X2)) = s(X1,s(X0,X2)) )
=> ( sK0 != sK1
& s(sK0,s(sK1,sK2)) = s(sK1,s(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
? [X0,X1,X2] :
( X0 != X1
& s(X0,s(X1,X2)) = s(X1,s(X0,X2)) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
~ ! [X0,X1,X2] :
( X0 = X1
| s(X0,s(X1,X2)) != s(X1,s(X0,X2)) ),
inference(rectify,[],[f112]) ).
fof(f112,negated_conjecture,
~ ! [X11,X14,X12] :
( X11 = X14
| s(X11,s(X14,X12)) != s(X14,s(X11,X12)) ),
inference(negated_conjecture,[],[f111]) ).
fof(f111,conjecture,
! [X11,X14,X12] :
( X11 = X14
| s(X11,s(X14,X12)) != s(X14,s(X11,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_19) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| s_t(X0,X1,X2) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X12,X15,X26,X11] :
( ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| s_t(X12,X15,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f2990,plain,
! [X2,X3,X0,X1] :
( ~ s_t(s(X0,X2),X1,s(X0,X3))
| s_t(X2,s(X0,X1),X3) ),
inference(superposition,[],[f342,f257]) ).
fof(f257,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X11,X12] : s(X11,s(X11,X12)) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f31599,plain,
( ~ s_t(sK2,s(sK0,sK1),s(sK1,sK2))
| s(sK1,sK2) = s(s(sK0,sK1),sK2) ),
inference(resolution,[],[f31587,f1796]) ).
fof(f1796,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X0,X2)
| ~ s_t(X1,X0,X2)
| s(X0,X1) = X2 ),
inference(resolution,[],[f271,f290]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s(X1,X0) = X2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X12,X11,X15] :
( s(X11,X12) = X15
| ~ s_m(X12,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f271,plain,
! [X2,X0,X1] :
( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f31587,plain,
s_e(s(sK0,sK1),sK2,s(sK0,sK1),s(sK1,sK2)),
inference(superposition,[],[f31476,f412]) ).
fof(f31476,plain,
! [X0] : s_e(s(sK0,s(sK1,X0)),sK2,s(sK0,X0),s(sK1,sK2)),
inference(superposition,[],[f31416,f257]) ).
fof(f31416,plain,
! [X0] : s_e(s(sK0,s(sK1,s(sK0,X0))),sK2,X0,s(sK1,sK2)),
inference(resolution,[],[f6491,f528]) ).
fof(f528,plain,
! [X0] : s_e(s(sK1,X0),s(sK0,sK2),X0,s(sK0,s(sK1,sK2))),
inference(superposition,[],[f488,f257]) ).
fof(f488,plain,
! [X0] : s_e(X0,s(sK0,sK2),s(sK1,X0),s(sK0,s(sK1,sK2))),
inference(superposition,[],[f268,f239]) ).
fof(f268,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X12,X15,X11] : s_e(X12,X15,s(X11,X12),s(X11,X15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f6491,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X1,s(X0,X2),s(X0,X3),s(X0,X4))
| s_e(s(X0,X1),X2,X3,X4) ),
inference(superposition,[],[f363,f257]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4] :
( ~ s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X12,X15,X26,X27,X11] :
( ~ s_e(s(X11,X12),s(X11,X15),s(X11,X26),s(X11,X27))
| s_e(X12,X15,X26,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_16b) ).
fof(f265,plain,
! [X0,X1] :
( s(X0,X1) != X1
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X11,X12] :
( X11 = X12
| s(X11,X12) != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10a) ).
fof(f240,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 22:00:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (9866)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (9867)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (9869)WARNING: value z3 for option sas not known
% 0.22/0.38 % (9870)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (9872)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)
% 0.22/0.38 % (9868)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (9873)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)
% 0.22/0.38 % (9869)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)
% 0.22/0.38 % (9871)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)
% 0.22/0.39 Detected minimum model sizes of [3]
% 0.22/0.39 Detected maximum model sizes of [max]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 Detected minimum model sizes of [3]
% 0.22/0.44 Detected maximum model sizes of [max]
% 0.22/0.51 TRYING [3]
% 1.53/0.61 TRYING [4]
% 7.95/1.48 Detected minimum model sizes of [3]
% 7.95/1.48 Detected maximum model sizes of [max]
% 7.95/1.49 TRYING [3]
% 8.46/1.59 TRYING [4]
% 11.51/2.01 TRYING [5]
% 14.17/2.38 TRYING [5]
% 17.32/2.84 TRYING [4]
% 76.49/11.27 TRYING [6]
% 103.97/15.18 TRYING [6]
% 205.52/29.62 % (9872)First to succeed.
% 205.52/29.63 % (9872)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9866"
% 205.52/29.64 % (9872)Refutation found. Thanks to Tanya!
% 205.52/29.64 % SZS status Theorem for theBenchmark
% 205.52/29.64 % SZS output start Proof for theBenchmark
% See solution above
% 205.52/29.64 % (9872)------------------------------
% 205.52/29.64 % (9872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 205.52/29.64 % (9872)Termination reason: Refutation
% 205.52/29.64
% 205.52/29.64 % (9872)Memory used [KB]: 40390
% 205.52/29.64 % (9872)Time elapsed: 29.240 s
% 205.52/29.64 % (9872)Instructions burned: 91154 (million)
% 205.52/29.64 % (9866)Success in time 29.093 s
%------------------------------------------------------------------------------