TSTP Solution File: GEO524+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO524+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 : n011.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 05:18:25 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 14 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1808,plain,
$false,
inference(trivial_inequality_removal,[],[f1807]) ).
fof(f1807,plain,
sK0 != sK0,
inference(superposition,[],[f404,f1804]) ).
fof(f1804,plain,
sK0 = sK1,
inference(trivial_inequality_removal,[],[f1803]) ).
fof(f1803,plain,
( sK2 != sK2
| sK0 = sK1 ),
inference(superposition,[],[f406,f1800]) ).
fof(f1800,plain,
( sK2 = sK3
| sK0 = sK1 ),
inference(duplicate_literal_removal,[],[f1793]) ).
fof(f1793,plain,
( sK2 = sK3
| sK0 = sK1
| sK0 = sK1 ),
inference(superposition,[],[f1789,f471]) ).
fof(f471,plain,
! [X2,X0,X1] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(rectify,[],[f187]) ).
fof(f187,axiom,
! [X11,X14,X12] :
( reflect(X11,X14,reflect(X11,X14,X12)) = X12
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_5) ).
fof(f1789,plain,
( sK3 = reflect(sK0,sK1,reflect(sK0,sK1,sK2))
| sK0 = sK1 ),
inference(superposition,[],[f471,f405]) ).
fof(f405,plain,
reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3),
inference(cnf_transformation,[],[f403]) ).
fof(f403,plain,
( sK2 != sK3
& reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f401,f402]) ).
fof(f402,plain,
( ? [X0,X1,X2,X3] :
( X2 != X3
& reflect(X0,X1,X2) = reflect(X0,X1,X3)
& X0 != X1 )
=> ( sK2 != sK3
& reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f401,plain,
? [X0,X1,X2,X3] :
( X2 != X3
& reflect(X0,X1,X2) = reflect(X0,X1,X3)
& X0 != X1 ),
inference(ennf_transformation,[],[f206]) ).
fof(f206,plain,
~ ! [X0,X1,X2,X3] :
( X2 = X3
| reflect(X0,X1,X2) != reflect(X0,X1,X3)
| X0 = X1 ),
inference(rectify,[],[f190]) ).
fof(f190,negated_conjecture,
~ ! [X11,X14,X12,X15] :
( X12 = X15
| reflect(X11,X14,X12) != reflect(X11,X14,X15)
| X11 = X14 ),
inference(negated_conjecture,[],[f189]) ).
fof(f189,conjecture,
! [X11,X14,X12,X15] :
( X12 = X15
| reflect(X11,X14,X12) != reflect(X11,X14,X15)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_7) ).
fof(f406,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f403]) ).
fof(f404,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO524+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n011.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 : Fri May 3 22:01:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8551)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (8554)WARNING: value z3 for option sas not known
% 0.14/0.39 % (8553)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (8554)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)
% 0.14/0.39 % (8558)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)
% 0.14/0.39 % (8557)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)
% 0.14/0.39 % (8556)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)
% 0.14/0.39 % (8555)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (8552)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.41 Detected minimum model sizes of [3]
% 0.20/0.41 Detected maximum model sizes of [max]
% 0.20/0.43 % (8557)First to succeed.
% 0.20/0.43 % (8557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8551"
% 0.20/0.43 TRYING [3]
% 0.20/0.43 % (8557)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (8557)------------------------------
% 0.20/0.43 % (8557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (8557)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (8557)Memory used [KB]: 1611
% 0.20/0.43 % (8557)Time elapsed: 0.041 s
% 0.20/0.43 % (8557)Instructions burned: 77 (million)
% 0.20/0.43 % (8551)Success in time 0.065 s
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