TSTP Solution File: NUM900_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM900_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 : n027.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 Apr 30 14:38:21 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 11 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 108 ( 37 atm; 24 fun; 16 num; 31 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 : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 22 !; 9 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f477,plain,
$false,
inference(evaluation,[],[f476]) ).
tff(f476,plain,
$less(0,0),
inference(backward_demodulation,[],[f21,f475]) ).
tff(f475,plain,
0 = sK2,
inference(forward_demodulation,[],[f403,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f403,plain,
sK2 = $sum(sK0,$uminus(sK0)),
inference(backward_demodulation,[],[f20,f399]) ).
tff(f399,plain,
sK0 = sK1,
inference(resolution,[],[f391,f21]) ).
tff(f391,plain,
( ~ $less(0,sK2)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f383,f168]) ).
tff(f168,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f11,f22]) ).
tff(f22,plain,
~ $less(sK1,sK0),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ~ $less(sK1,sK0)
& $less(0,sK2)
& ( sK2 = $sum(sK0,$uminus(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) )
=> ( ~ $less(sK1,sK0)
& $less(0,sK2)
& ( sK2 = $sum(sK0,$uminus(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) )
=> $less(X1,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_greater) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f383,plain,
( ~ $less(sK0,sK1)
| ~ $less(0,sK2) ),
inference(resolution,[],[f375,f91]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f375,plain,
( $less(sK2,0)
| ~ $less(sK0,sK1) ),
inference(superposition,[],[f354,f8]) ).
tff(f354,plain,
! [X0: $int] :
( $less(sK2,$sum(X0,$uminus(sK1)))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f20]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f20,plain,
sK2 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM900_1 : TPTP v8.1.2. Released v5.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Apr 29 23:55:47 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (15322)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (15325)WARNING: value z3 for option sas not known
% 0.22/0.38 % (15324)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 % (15326)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (15323)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (15325)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 % (15327)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)
% 0.22/0.38 % (15328)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 % (15323)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (15324)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (15326)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (15324)Terminated due to inappropriate strategy.
% 0.22/0.38 % (15324)------------------------------
% 0.22/0.38 % (15324)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (15324)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (15324)Memory used [KB]: 723
% 0.22/0.38 % (15326)Terminated due to inappropriate strategy.
% 0.22/0.38 % (15326)------------------------------
% 0.22/0.38 % (15326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (15324)Time elapsed: 0.002 s
% 0.22/0.38 % (15326)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (15324)Instructions burned: 2 (million)
% 0.22/0.38 % (15326)Memory used [KB]: 722
% 0.22/0.38 % (15324)------------------------------
% 0.22/0.38 % (15324)------------------------------
% 0.22/0.38 % (15326)Time elapsed: 0.002 s
% 0.22/0.38 % (15326)Instructions burned: 2 (million)
% 0.22/0.38 % (15326)------------------------------
% 0.22/0.38 % (15326)------------------------------
% 0.22/0.38 % (15323)Terminated due to inappropriate strategy.
% 0.22/0.38 % (15323)------------------------------
% 0.22/0.38 % (15323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (15329)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 % (15323)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (15323)Memory used [KB]: 722
% 0.22/0.38 % (15323)Time elapsed: 0.002 s
% 0.22/0.38 % (15323)Instructions burned: 2 (million)
% 0.22/0.38 % (15323)------------------------------
% 0.22/0.38 % (15323)------------------------------
% 0.22/0.40 % (15328)First to succeed.
% 0.22/0.40 % (15328)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (15328)------------------------------
% 0.22/0.40 % (15328)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (15328)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (15328)Memory used [KB]: 913
% 0.22/0.40 % (15328)Time elapsed: 0.015 s
% 0.22/0.40 % (15328)Instructions burned: 21 (million)
% 0.22/0.40 % (15328)------------------------------
% 0.22/0.40 % (15328)------------------------------
% 0.22/0.40 % (15322)Success in time 0.019 s
%------------------------------------------------------------------------------