TSTP Solution File: NUM915_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM915_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 08:43:08 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 15 unt; 2 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 54 ( 0 atm; 23 fun; 3 num; 28 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f592,plain,
$false,
inference(equality_resolution,[],[f591]) ).
tff(f591,plain,
! [X0: $int] : ( sK1 != X0 ),
inference(evaluation,[],[f585]) ).
tff(f585,plain,
! [X0: $int] : ( $sum(X0,0) != sK1 ),
inference(superposition,[],[f567,f20]) ).
tff(f20,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f567,plain,
! [X0: $int,X1: $int] : ( sK1 != $sum(X0,$sum(X1,sK0)) ),
inference(superposition,[],[f29,f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f29,plain,
! [X0: $int] : ( sK1 != $sum(X0,sK0) ),
inference(superposition,[],[f18,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f18,plain,
! [X2: $int] : ( sK1 != $sum(sK0,X2) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X2: $int] : ( sK1 != $sum(sK0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X0,X2) != X1 )
=> ! [X2: $int] : ( sK1 != $sum(sK0,X2) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X0,X2) != X1 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM915_1 : TPTP v8.1.2. Released v5.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 15:11:37 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (29306)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (29309)WARNING: value z3 for option sas not known
% 0.15/0.32 % (29313)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)
% 0.15/0.32 % (29311)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)
% 0.15/0.32 % (29307)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (29307)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (29307)Terminated due to inappropriate strategy.
% 0.15/0.32 % (29307)------------------------------
% 0.15/0.32 % (29307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (29307)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (29307)Memory used [KB]: 722
% 0.15/0.32 % (29307)Time elapsed: 0.002 s
% 0.15/0.32 % (29307)Instructions burned: 2 (million)
% 0.15/0.32 % (29310)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (29307)------------------------------
% 0.15/0.32 % (29307)------------------------------
% 0.15/0.32 % (29308)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (29309)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)
% 0.15/0.32 % (29310)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (29310)Terminated due to inappropriate strategy.
% 0.15/0.32 % (29310)------------------------------
% 0.15/0.32 % (29310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (29310)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (29310)Memory used [KB]: 722
% 0.15/0.32 % (29310)Time elapsed: 0.001 s
% 0.15/0.32 % (29310)Instructions burned: 2 (million)
% 0.15/0.32 % (29308)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (29308)Terminated due to inappropriate strategy.
% 0.15/0.32 % (29308)------------------------------
% 0.15/0.32 % (29308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (29308)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (29308)Memory used [KB]: 722
% 0.15/0.32 % (29308)Time elapsed: 0.002 s
% 0.15/0.32 % (29308)Instructions burned: 2 (million)
% 0.15/0.32 % (29310)------------------------------
% 0.15/0.32 % (29310)------------------------------
% 0.15/0.32 % (29308)------------------------------
% 0.15/0.32 % (29308)------------------------------
% 0.15/0.32 % (29312)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)
% 0.15/0.33 % (29312)First to succeed.
% 0.15/0.33 % (29312)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29306"
% 0.15/0.33 % (29309)Also succeeded, but the first one will report.
% 0.15/0.33 % (29312)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (29312)------------------------------
% 0.15/0.33 % (29312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (29312)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (29312)Memory used [KB]: 924
% 0.15/0.33 % (29312)Time elapsed: 0.010 s
% 0.15/0.33 % (29312)Instructions burned: 19 (million)
% 0.15/0.33 % (29306)Success in time 0.023 s
%------------------------------------------------------------------------------