TSTP Solution File: ARI673_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI673_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 : n021.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 04:36:33 EDT 2024
% Result : Theorem 7.85s 1.46s
% Output : Refutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 47 ( 25 unt; 1 typ; 0 def)
% Number of atoms : 87 ( 74 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 70 ( 29 ~; 34 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 212 ( 12 atm; 78 fun; 72 num; 50 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 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f58573,plain,
$false,
inference(subsumption_resolution,[],[f58535,f31]) ).
tff(f31,plain,
a != -1,
inference(evaluation,[],[f30]) ).
tff(f30,plain,
( ( a != -1 )
| ( 1 != $product(-1,-1) ) ),
inference(inner_rewriting,[],[f25]) ).
tff(f25,plain,
( ( a != -1 )
| ( $product(a,a) != 1 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ( ( ( a != 1 )
& ( a != -1 ) )
| ( $product(a,a) != 1 ) )
& ( ( a = 1 )
| ( a = -1 )
| ( $product(a,a) = 1 ) ) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ( ( ( a != 1 )
& ( a != -1 ) )
| ( $product(a,a) != 1 ) )
& ( ( a = 1 )
| ( a = -1 )
| ( $product(a,a) = 1 ) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
( ( $product(a,a) = 1 )
<~> ( ( a = 1 )
| ( a = -1 ) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $product(a,a) = 1 )
<=> ( ( a = 1 )
| ( a = -1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $product(a,a) = 1 )
<=> ( ( a = 1 )
| ( a = -1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f58535,plain,
a = -1,
inference(evaluation,[],[f58488]) ).
tff(f58488,plain,
a = $sum($uminus(1),0),
inference(superposition,[],[f386,f58435]) ).
tff(f58435,plain,
0 = $sum(1,a),
inference(subsumption_resolution,[],[f58417,f29]) ).
tff(f29,plain,
a != 1,
inference(evaluation,[],[f28]) ).
tff(f28,plain,
( ( a != 1 )
| ( 1 != $product(1,1) ) ),
inference(inner_rewriting,[],[f26]) ).
tff(f26,plain,
( ( a != 1 )
| ( $product(a,a) != 1 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f58417,plain,
( ( 0 = $sum(1,a) )
| ( a = 1 ) ),
inference(trivial_inequality_removal,[],[f58404]) ).
tff(f58404,plain,
( ( $sum(1,a) != $sum(1,a) )
| ( 0 = $sum(1,a) )
| ( a = 1 ) ),
inference(superposition,[],[f4508,f885]) ).
tff(f885,plain,
$sum(1,a) = $product(a,$sum(1,a)),
inference(forward_demodulation,[],[f872,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f872,plain,
$product(a,$sum(a,1)) = $sum(1,a),
inference(superposition,[],[f514,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f514,plain,
! [X0: $int] : ( $product(a,$sum(a,X0)) = $sum(1,$product(a,X0)) ),
inference(superposition,[],[f18,f32]) ).
tff(f32,plain,
$product(a,a) = 1,
inference(global_subsumption,[],[f20,f27,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4,f3,f26,f29,f25,f31,f24]) ).
tff(f24,plain,
( ( a = 1 )
| ( a = -1 )
| ( $product(a,a) = 1 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f17,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f27,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,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(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f4508,plain,
! [X0: $int,X1: $int] :
( ( $product(X1,X0) != X0 )
| ( 0 = X0 )
| ( 1 = X1 ) ),
inference(superposition,[],[f599,f14]) ).
tff(f599,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,X1) != X0 )
| ( 0 = X0 )
| ( 1 = X1 ) ),
inference(superposition,[],[f27,f16]) ).
tff(f386,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f362]) ).
tff(f362,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f4,f33]) ).
tff(f33,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI673_1 : TPTP v8.1.2. Released v6.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.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 : Fri May 3 21:49:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (19086)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19090)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (19090)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19090)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19090)------------------------------
% 0.14/0.37 % (19090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19090)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19090)Memory used [KB]: 724
% 0.14/0.37 % (19090)Time elapsed: 0.002 s
% 0.14/0.37 % (19090)Instructions burned: 2 (million)
% 0.14/0.37 % (19090)------------------------------
% 0.14/0.37 % (19090)------------------------------
% 0.14/0.37 % (19091)WARNING: value z3 for option sas not known
% 0.14/0.37 % (19092)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (19091)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)
% 0.14/0.37 % (19089)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (19093)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)
% 0.14/0.37 % (19095)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)
% 0.14/0.37 % (19094)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)
% 0.14/0.37 % (19089)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19092)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19092)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19092)------------------------------
% 0.14/0.37 % (19092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19092)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19089)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19092)Memory used [KB]: 723
% 0.14/0.37 % (19092)Time elapsed: 0.002 s
% 0.14/0.37 % (19089)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19089)Memory used [KB]: 723
% 0.14/0.37 % (19092)Instructions burned: 2 (million)
% 0.14/0.37 % (19089)Time elapsed: 0.003 s
% 0.14/0.37 % (19089)Instructions burned: 2 (million)
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19092)------------------------------
% 0.14/0.37 % (19092)------------------------------
% 0.14/0.38 % (19105)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.38 % (19105)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (19105)Terminated due to inappropriate strategy.
% 0.14/0.38 % (19105)------------------------------
% 0.14/0.38 % (19105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (19105)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (19105)Memory used [KB]: 723
% 0.14/0.38 % (19105)Time elapsed: 0.001 s
% 0.14/0.38 % (19105)Instructions burned: 2 (million)
% 0.14/0.38 % (19105)------------------------------
% 0.14/0.38 % (19105)------------------------------
% 0.14/0.39 % (19109)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 % (19108)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 % (19112)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 7.82/1.46 % (19091)First to succeed.
% 7.85/1.46 % (19091)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19086"
% 7.85/1.46 % (19091)Refutation found. Thanks to Tanya!
% 7.85/1.46 % SZS status Theorem for theBenchmark
% 7.85/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 7.85/1.46 % (19091)------------------------------
% 7.85/1.46 % (19091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.85/1.46 % (19091)Termination reason: Refutation
% 7.85/1.46
% 7.85/1.46 % (19091)Memory used [KB]: 19887
% 7.85/1.46 % (19091)Time elapsed: 1.084 s
% 7.85/1.46 % (19091)Instructions burned: 3541 (million)
% 7.85/1.46 % (19086)Success in time 1.097 s
%------------------------------------------------------------------------------