TSTP Solution File: ARI593_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI593_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n007.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 15:48:39 EDT 2022
% Result : Theorem 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 8 ~; 0 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 70 ( 0 atm; 25 fun; 28 num; 17 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
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(f844,plain,
$false,
inference(subsumption_resolution,[],[f841,f46]) ).
tff(f46,plain,
p(6),
inference(literal_reordering,[],[f25]) ).
tff(f25,plain,
p(6),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( p(5)
& p(6)
& ! [X0: $int] : ~ p($product(3,X0))
& p(7) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
( ! [X0: $int] : ~ p($product(3,X0))
& p(6)
& p(7)
& p(5) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( p(6)
& p(7)
& p(5) )
=> ? [X0: $int] : p($product(3,X0)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( p(6)
& p(7)
& p(5) )
=> ? [X0: $int] : p($product(3,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_X_in_5_6_7_div_3) ).
tff(f841,plain,
~ p(6),
inference(evaluation,[],[f839]) ).
tff(f839,plain,
~ p($sum(3,3)),
inference(superposition,[],[f810,f45]) ).
tff(f45,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
inference(literal_reordering,[],[f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f810,plain,
! [X30: $int] : ~ p($sum(3,$product(3,X30))),
inference(superposition,[],[f28,f177]) ).
tff(f177,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$product(X0,X1)) = $product(X0,$sum(1,X1)) ),
inference(superposition,[],[f38,f45]) ).
tff(f38,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
inference(literal_reordering,[],[f18]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f28,plain,
! [X0: $int] : ~ p($product(3,X0)),
inference(literal_reordering,[],[f24]) ).
tff(f24,plain,
! [X0: $int] : ~ p($product(3,X0)),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ARI593=1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 15:34:45 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.16/0.47 % (2609)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.16/0.47 % (2600)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)
% 0.16/0.47 % (2601)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.48 % (2616)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)
% 0.16/0.48 % (2608)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)
% 0.16/0.48 % (2617)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.16/0.49 % (2600)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.49 % (2600)Terminated due to inappropriate strategy.
% 0.16/0.49 % (2600)------------------------------
% 0.16/0.49 % (2600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (2600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (2600)Termination reason: Inappropriate
% 0.16/0.49
% 0.16/0.49 % (2600)Memory used [KB]: 895
% 0.16/0.49 % (2600)Time elapsed: 0.003 s
% 0.16/0.49 % (2600)Instructions burned: 1 (million)
% 0.16/0.49 % (2600)------------------------------
% 0.16/0.49 % (2600)------------------------------
% 0.16/0.49 % (2601)Instruction limit reached!
% 0.16/0.49 % (2601)------------------------------
% 0.16/0.49 % (2601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (2601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (2601)Termination reason: Unknown
% 0.16/0.49 % (2601)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (2601)Memory used [KB]: 5500
% 0.16/0.49 % (2601)Time elapsed: 0.117 s
% 0.16/0.49 % (2601)Instructions burned: 7 (million)
% 0.16/0.49 % (2601)------------------------------
% 0.16/0.49 % (2601)------------------------------
% 0.16/0.50 % (2596)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)
% 0.16/0.52 % (2607)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.16/0.52 % (2610)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)
% 0.16/0.52 % (2611)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.16/0.52 % (2611)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.52 % (2611)Terminated due to inappropriate strategy.
% 0.16/0.52 % (2611)------------------------------
% 0.16/0.52 % (2611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (2611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (2611)Termination reason: Inappropriate
% 0.16/0.52
% 0.16/0.52 % (2611)Memory used [KB]: 895
% 0.16/0.52 % (2611)Time elapsed: 0.002 s
% 0.16/0.52 % (2611)Instructions burned: 1 (million)
% 0.16/0.52 % (2611)------------------------------
% 0.16/0.52 % (2611)------------------------------
% 0.16/0.52 % (2623)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.16/0.52 % (2597)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)
% 0.16/0.53 % (2598)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.53 % (2594)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.16/0.53 % (2594)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.53 % (2594)Terminated due to inappropriate strategy.
% 0.16/0.53 % (2594)------------------------------
% 0.16/0.53 % (2594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (2594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (2594)Termination reason: Inappropriate
% 0.16/0.53
% 0.16/0.53 % (2594)Memory used [KB]: 895
% 0.16/0.53 % (2594)Time elapsed: 0.004 s
% 0.16/0.53 % (2594)Instructions burned: 2 (million)
% 0.16/0.53 % (2594)------------------------------
% 0.16/0.53 % (2594)------------------------------
% 0.16/0.53 % (2612)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.53 % (2620)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)
% 0.16/0.53 % (2599)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)
% 0.16/0.53 % (2613)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.53 % (2614)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.16/0.54 % (2604)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.16/0.54 % (2603)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)
% 0.16/0.54 % (2605)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.54 % (2606)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.16/0.54 % (2621)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.16/0.54 % (2622)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.16/0.55 % (2615)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.16/0.55 % (2619)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.16/0.55 % (2602)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.55 % (2602)Instruction limit reached!
% 0.16/0.55 % (2602)------------------------------
% 0.16/0.55 % (2602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (2602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (2602)Termination reason: Unknown
% 0.16/0.55 % (2602)Termination phase: Property scanning
% 0.16/0.55
% 0.16/0.55 % (2602)Memory used [KB]: 895
% 0.16/0.55 % (2602)Time elapsed: 0.004 s
% 0.16/0.55 % (2602)Instructions burned: 2 (million)
% 0.16/0.55 % (2602)------------------------------
% 0.16/0.55 % (2602)------------------------------
% 0.16/0.55 % (2618)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.16/0.56 % (2608)First to succeed.
% 0.16/0.56 % (2595)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.16/0.56 % (2608)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Theorem for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (2608)------------------------------
% 0.16/0.56 % (2608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (2608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (2608)Termination reason: Refutation
% 0.16/0.56
% 0.16/0.56 % (2608)Memory used [KB]: 6268
% 0.16/0.56 % (2608)Time elapsed: 0.037 s
% 0.16/0.56 % (2608)Instructions burned: 49 (million)
% 0.16/0.56 % (2608)------------------------------
% 0.16/0.56 % (2608)------------------------------
% 0.16/0.56 % (2593)Success in time 0.238 s
%------------------------------------------------------------------------------