TSTP Solution File: NUM844+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM844+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 02:13:39 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 22 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f83]) ).
fof(f83,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f81]) ).
fof(f81,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411)))
| spl0_1 ),
inference(forward_demodulation,[],[f79,f50]) ).
fof(f50,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7,X8] : vplus(X8,X7) = vplus(X7,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f79,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413))
| spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_1
<=> vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) = vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f80,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f58,f77]) ).
fof(f58,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)),
inference(definition_unfolding,[],[f38,f48,f48]) ).
fof(f48,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X11] : vplus(v1,X11) = vsucc(X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f38,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM844+2 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.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 : Mon May 20 03:45:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (18898)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18899)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (18901)WARNING: value z3 for option sas not known
% 0.15/0.37 % (18900)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (18902)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (18904)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)
% 0.15/0.37 % (18903)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)
% 0.15/0.37 % (18901)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)
% 0.15/0.37 % (18905)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)
% 0.15/0.38 % (18903)First to succeed.
% 0.15/0.38 % (18903)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18898"
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (18903)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (18903)------------------------------
% 0.15/0.38 % (18903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18903)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (18903)Memory used [KB]: 759
% 0.15/0.38 % (18903)Time elapsed: 0.004 s
% 0.15/0.38 % (18903)Instructions burned: 4 (million)
% 0.15/0.38 % (18898)Success in time 0.005 s
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