TSTP Solution File: ARI647_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI647_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 10:35:46 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 29 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 12 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 84 ( 7 atm; 24 fun; 43 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f672,plain,
$false,
inference(evaluation,[],[f670]) ).
tff(f670,plain,
~ $less($product(-2,1),-1),
inference(superposition,[],[f26,f669]) ).
tff(f669,plain,
a = 1,
inference(trivial_inequality_removal,[],[f665]) ).
tff(f665,plain,
( ( 3 != 3 )
| ( a = 1 ) ),
inference(superposition,[],[f609,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f609,plain,
! [X0: $int] :
( ( 3 != $product(3,X0) )
| ( a = X0 ) ),
inference(evaluation,[],[f606]) ).
tff(f606,plain,
! [X0: $int] :
( ( 3 != $product(3,X0) )
| ( 3 = 0 )
| ( a = X0 ) ),
inference(superposition,[],[f25,f24]) ).
tff(f24,plain,
3 = $product(3,a),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 3 = $product(3,a) )
& ~ $less($product(-1,$product(2,a)),-1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( 3 != $product(3,a) )
| $less($product(-1,$product(2,a)),-1) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( 3 != $product(3,a) )
| ~ $lesseq(-1,$product(-1,$product(2,a))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( 3 != $product(3,a) )
| ~ $lesseq(-1,$product(-1,$product(2,a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f25,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f20]) ).
tff(f20,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_151,[]) ).
tff(f26,plain,
~ $less($product(-2,a),-1),
inference(evaluation,[],[f23]) ).
tff(f23,plain,
~ $less($product(-1,$product(2,a)),-1),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI647_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:32:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1721)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1725)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1722)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1726)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1727)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)
% 0.14/0.38 % (1725)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)
% 0.14/0.38 % (1728)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)
% 0.14/0.38 % (1729)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)
% 0.14/0.38 % (1723)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (1722)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (1722)Terminated due to inappropriate strategy.
% 0.14/0.38 % (1722)------------------------------
% 0.14/0.38 % (1722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (1722)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (1722)Memory used [KB]: 723
% 0.14/0.38 % (1722)Time elapsed: 0.002 s
% 0.14/0.38 % (1722)Instructions burned: 2 (million)
% 0.14/0.38 % (1722)------------------------------
% 0.14/0.38 % (1722)------------------------------
% 0.14/0.38 % (1726)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (1726)Terminated due to inappropriate strategy.
% 0.14/0.38 % (1726)------------------------------
% 0.14/0.38 % (1726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (1726)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (1726)Memory used [KB]: 723
% 0.14/0.38 % (1726)Time elapsed: 0.002 s
% 0.14/0.38 % (1726)Instructions burned: 2 (million)
% 0.14/0.38 % (1726)------------------------------
% 0.14/0.38 % (1726)------------------------------
% 0.14/0.38 % (1723)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (1723)Terminated due to inappropriate strategy.
% 0.14/0.38 % (1723)------------------------------
% 0.14/0.38 % (1723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (1723)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (1723)Memory used [KB]: 723
% 0.14/0.38 % (1723)Time elapsed: 0.002 s
% 0.14/0.38 % (1723)Instructions burned: 2 (million)
% 0.14/0.38 % (1723)------------------------------
% 0.14/0.38 % (1723)------------------------------
% 0.14/0.39 % (1730)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (1731)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.39 % (1732)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.14/0.39 % (1725)First to succeed.
% 0.14/0.39 % (1730)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (1730)Terminated due to inappropriate strategy.
% 0.14/0.39 % (1730)------------------------------
% 0.14/0.39 % (1730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (1730)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (1730)Memory used [KB]: 723
% 0.14/0.39 % (1730)Time elapsed: 0.003 s
% 0.14/0.39 % (1730)Instructions burned: 2 (million)
% 0.14/0.39 % (1730)------------------------------
% 0.14/0.39 % (1730)------------------------------
% 0.21/0.39 % (1725)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (1725)------------------------------
% 0.21/0.39 % (1725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (1725)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (1725)Memory used [KB]: 912
% 0.21/0.39 % (1725)Time elapsed: 0.019 s
% 0.21/0.39 % (1725)Instructions burned: 27 (million)
% 0.21/0.39 % (1725)------------------------------
% 0.21/0.39 % (1725)------------------------------
% 0.21/0.39 % (1721)Success in time 0.033 s
%------------------------------------------------------------------------------