TSTP Solution File: NUM893_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM893_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 : 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 08:43:02 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 32 ( 9 ~; 11 |; 8 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 88 ( 6 atm; 43 fun; 3 num; 36 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 27 !; 9 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(f58,plain,
$false,
inference(resolution,[],[f57,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f57,plain,
! [X0: $int,X1: $int] : $less(X0,X1),
inference(resolution,[],[f55,f9]) ).
tff(f55,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,X1)
| $less(X0,X2) ),
inference(superposition,[],[f13,f49]) ).
tff(f49,plain,
! [X0: $int,X1: $int] : ( X0 = X1 ),
inference(duplicate_literal_removal,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( X0 = X1 ) ),
inference(evaluation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( $sum(X1,$uminus(0)) = X0 ) ),
inference(superposition,[],[f19,f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X2,$uminus(X1)) = X0 )
| ( $sum(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
<~> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_same_as_difference) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM893_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.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 15:09:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18267)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18270)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18271)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18269)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (18270)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)
% 0.15/0.38 % (18268)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18273)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)
% 0.15/0.38 % (18272)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)
% 0.15/0.38 % (18271)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18274)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 % (18269)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18269)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18269)------------------------------
% 0.15/0.38 % (18269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18271)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18271)------------------------------
% 0.15/0.38 % (18271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18271)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (18271)Memory used [KB]: 722
% 0.15/0.38 % (18271)Time elapsed: 0.002 s
% 0.15/0.38 % (18271)Instructions burned: 2 (million)
% 0.15/0.38 % (18269)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (18269)Memory used [KB]: 722
% 0.15/0.38 % (18269)Time elapsed: 0.002 s
% 0.15/0.38 % (18269)Instructions burned: 2 (million)
% 0.15/0.38 % (18268)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18268)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18268)------------------------------
% 0.15/0.38 % (18268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18268)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (18268)Memory used [KB]: 722
% 0.15/0.38 % (18268)Time elapsed: 0.003 s
% 0.15/0.38 % (18268)Instructions burned: 2 (million)
% 0.15/0.38 % (18271)------------------------------
% 0.15/0.38 % (18271)------------------------------
% 0.15/0.38 % (18269)------------------------------
% 0.15/0.38 % (18269)------------------------------
% 0.15/0.38 % (18268)------------------------------
% 0.15/0.38 % (18268)------------------------------
% 0.15/0.38 % (18273)First to succeed.
% 0.15/0.38 % (18273)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18267"
% 0.15/0.38 % (18273)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 % (18273)------------------------------
% 0.15/0.38 % (18273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18273)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (18273)Memory used [KB]: 772
% 0.15/0.38 % (18273)Time elapsed: 0.005 s
% 0.15/0.38 % (18273)Instructions burned: 5 (million)
% 0.15/0.38 % (18267)Success in time 0.009 s
%------------------------------------------------------------------------------