TSTP Solution File: ARI040_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI040_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 15:47:13 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 21 unt; 3 typ; 0 def)
% Number of atoms : 25 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 94 ( 13 atm; 30 fun; 19 num; 32 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 29 !; 3 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_4,type,
sQ1_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $real * $real ) > $o ).
tff(f234,plain,
$false,
inference(resolution,[],[f201,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,-5),
inference(literal_reordering,[],[f17]) ).
tff(f17,plain,
! [X0: $int] : ~ $less(X0,-5),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(X0,-5),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $int] : $less(X0,-5),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $greater(-5,X0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $greater(-5,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n5_greater_something) ).
tff(f201,plain,
! [X12: $int] : $less(-5,X12),
inference(superposition,[],[f97,f135]) ).
tff(f135,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f118,f64]) ).
tff(f64,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f27,f29]) ).
tff(f29,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(literal_reordering,[],[f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f27,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
inference(literal_reordering,[],[f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f118,plain,
! [X2: $int,X3: $int] : ( $sum(0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f24,f18]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
inference(literal_reordering,[],[f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f24,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f97,plain,
! [X0: $int] : $less(-5,$sum(1,X0)),
inference(superposition,[],[f77,f27]) ).
tff(f77,plain,
! [X0: $int] : $less(-5,$sum(X0,1)),
inference(resolution,[],[f26,f22]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
inference(literal_reordering,[],[f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ARI040=1 : TPTP v8.1.0. Released v5.0.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.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 : Mon Aug 29 15:14:49 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (11246)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.52 % (11259)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.52 % (11251)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.53 % (11254)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.53 % (11243)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (11262)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.53 % (11243)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (11243)Terminated due to inappropriate strategy.
% 0.21/0.53 % (11243)------------------------------
% 0.21/0.53 % (11243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11243)Termination reason: Inappropriate
% 0.21/0.53
% 0.21/0.53 % (11243)Memory used [KB]: 895
% 0.21/0.53 % (11243)Time elapsed: 0.004 s
% 0.21/0.53 % (11243)Instructions burned: 1 (million)
% 0.21/0.53 % (11243)------------------------------
% 0.21/0.53 % (11243)------------------------------
% 0.21/0.54 % (11242)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.21/0.54 % (11254)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.54 % (11254)Terminated due to inappropriate strategy.
% 0.21/0.54 % (11254)------------------------------
% 0.21/0.54 % (11254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11254)Termination reason: Inappropriate
% 0.21/0.54
% 0.21/0.54 % (11254)Memory used [KB]: 895
% 0.21/0.54 % (11254)Time elapsed: 0.002 s
% 0.21/0.54 % (11254)Instructions burned: 1 (million)
% 0.21/0.54 % (11240)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.54 % (11254)------------------------------
% 0.21/0.54 % (11254)------------------------------
% 0.21/0.54 % (11249)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.54 % (11253)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.54 % (11241)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.54 % (11251)First to succeed.
% 0.21/0.54 % (11239)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.54 % (11251)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (11251)------------------------------
% 0.21/0.54 % (11251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11251)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (11251)Memory used [KB]: 5884
% 0.21/0.54 % (11251)Time elapsed: 0.011 s
% 0.21/0.54 % (11251)Instructions burned: 10 (million)
% 0.21/0.54 % (11251)------------------------------
% 0.21/0.54 % (11251)------------------------------
% 0.21/0.54 % (11236)Success in time 0.18 s
%------------------------------------------------------------------------------