TSTP Solution File: ARI706_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI706_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 : n028.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 04:36:36 EDT 2024
% Result : Theorem 2.10s 0.62s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 78 unt; 1 typ; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 593 ( 0 atm; 397 fun; 132 num; 64 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(f5881,plain,
$false,
inference(subsumption_resolution,[],[f5880,f294]) ).
tff(f294,plain,
$product(d,d) != $product(3,$product(d,d)),
inference(superposition,[],[f26,f16]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f26,plain,
$product(d,d) != $product($product(3,d),d),
inference(forward_demodulation,[],[f23,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f23,plain,
$product(d,d) != $product($product(d,3),d),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
$product(d,d) != $product($product(d,3),d),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ $product(d,d) = $product($product(d,3),d) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
$product(d,d) = $product($product(d,3),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f5880,plain,
$product(d,d) = $product(3,$product(d,d)),
inference(forward_demodulation,[],[f5879,f5775]) ).
tff(f5775,plain,
$product(d,d) = $product(4,$product(d,d)),
inference(forward_demodulation,[],[f5774,f287]) ).
tff(f287,plain,
$product(d,d) = $product(2,$product(d,d)),
inference(superposition,[],[f16,f24]) ).
tff(f24,plain,
$product(d,d) = $product($product(2,d),d),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(d,d) = $product($product(2,d),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
tff(f5774,plain,
$product(2,$product(d,d)) = $product(4,$product(d,d)),
inference(forward_demodulation,[],[f5773,f15]) ).
tff(f5773,plain,
$product($product(d,d),2) = $product(4,$product(d,d)),
inference(evaluation,[],[f5772]) ).
tff(f5772,plain,
$product($product(d,d),2) = $product(2,$product(d,$product(d,2))),
inference(forward_demodulation,[],[f5771,f2566]) ).
tff(f2566,plain,
! [X0: $int] : ( $product(X0,2) = $sum(X0,X0) ),
inference(evaluation,[],[f2500]) ).
tff(f2500,plain,
! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
inference(superposition,[],[f321,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f321,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f5771,plain,
$product($product(d,d),2) = $product(2,$product(d,$sum(d,d))),
inference(forward_demodulation,[],[f5730,f2566]) ).
tff(f5730,plain,
$product(2,$product(d,$sum(d,d))) = $sum($product(d,d),$product(d,d)),
inference(superposition,[],[f346,f287]) ).
tff(f346,plain,
! [X0: $int] : ( $sum($product(d,d),$product(2,$product(d,X0))) = $product(2,$product(d,$sum(d,X0))) ),
inference(forward_demodulation,[],[f345,f16]) ).
tff(f345,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $sum($product(d,d),$product(2,$product(d,X0))) ),
inference(forward_demodulation,[],[f326,f16]) ).
tff(f326,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $sum($product(d,d),$product($product(2,d),X0)) ),
inference(superposition,[],[f19,f24]) ).
tff(f5879,plain,
$product(3,$product(d,d)) = $product(4,$product(d,d)),
inference(forward_demodulation,[],[f5878,f5763]) ).
tff(f5763,plain,
$product(3,$product(d,d)) = $product(8,$product(d,d)),
inference(forward_demodulation,[],[f5762,f15]) ).
tff(f5762,plain,
$product($product(d,d),3) = $product(8,$product(d,d)),
inference(evaluation,[],[f5761]) ).
tff(f5761,plain,
$product($product(d,d),3) = $product(4,$product(d,$product(d,2))),
inference(forward_demodulation,[],[f5760,f2566]) ).
tff(f5760,plain,
$product($product(d,d),3) = $product(4,$product(d,$sum(d,d))),
inference(evaluation,[],[f5759]) ).
tff(f5759,plain,
$product($product(d,d),3) = $product(2,$product(2,$product(d,$sum(d,d)))),
inference(forward_demodulation,[],[f5758,f1105]) ).
tff(f1105,plain,
! [X0: $int] : ( $product(2,$product(d,$sum(d,X0))) = $product(d,$sum(d,$product(2,X0))) ),
inference(forward_demodulation,[],[f1104,f15]) ).
tff(f1104,plain,
! [X0: $int] : ( $product(d,$sum(d,$product(2,X0))) = $product(2,$product($sum(d,X0),d)) ),
inference(forward_demodulation,[],[f1103,f290]) ).
tff(f290,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f16,f15]) ).
tff(f1103,plain,
! [X0: $int] : ( $product(d,$sum(d,$product(2,X0))) = $product(d,$product(2,$sum(d,X0))) ),
inference(forward_demodulation,[],[f1102,f282]) ).
tff(f282,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X1,X0),X2) ),
inference(superposition,[],[f16,f15]) ).
tff(f1102,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $product(d,$sum(d,$product(2,X0))) ),
inference(forward_demodulation,[],[f1101,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f1101,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $product(d,$sum($product(2,X0),d)) ),
inference(forward_demodulation,[],[f1100,f335]) ).
tff(f335,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X2),$product(X0,X1)) ),
inference(superposition,[],[f19,f4]) ).
tff(f1100,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $sum($product(d,d),$product(d,$product(2,X0))) ),
inference(forward_demodulation,[],[f1081,f282]) ).
tff(f1081,plain,
! [X0: $int] : ( $product($product(2,d),$sum(d,X0)) = $sum($product(d,d),$product($product(2,d),X0)) ),
inference(superposition,[],[f19,f24]) ).
tff(f5758,plain,
$product($product(d,d),3) = $product(2,$product(d,$sum(d,$product(2,d)))),
inference(evaluation,[],[f5757]) ).
tff(f5757,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $product($product(d,d),$sum(1,2)),
inference(forward_demodulation,[],[f5722,f2495]) ).
tff(f2495,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X1,X0)) ),
inference(superposition,[],[f321,f15]) ).
tff(f5722,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $sum($product(d,d),$product(2,$product(d,d))),
inference(superposition,[],[f346,f133]) ).
tff(f133,plain,
$product(d,d) = $product(d,$product(2,d)),
inference(superposition,[],[f24,f15]) ).
tff(f5878,plain,
$product(4,$product(d,d)) = $product(8,$product(d,d)),
inference(evaluation,[],[f5877]) ).
tff(f5877,plain,
$product(4,$product(d,d)) = $product(4,$product(d,$product(d,2))),
inference(forward_demodulation,[],[f5876,f2566]) ).
tff(f5876,plain,
$product(4,$product(d,d)) = $product(4,$product(d,$sum(d,d))),
inference(evaluation,[],[f5875]) ).
tff(f5875,plain,
$product(4,$product(d,d)) = $product(2,$product(2,$product(d,$sum(d,d)))),
inference(forward_demodulation,[],[f5874,f1105]) ).
tff(f5874,plain,
$product(4,$product(d,d)) = $product(2,$product(d,$sum(d,$product(2,d)))),
inference(evaluation,[],[f5873]) ).
tff(f5873,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $product(2,$product(d,$product(d,2))),
inference(forward_demodulation,[],[f5872,f2566]) ).
tff(f5872,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $product(2,$product(d,$sum(d,d))),
inference(forward_demodulation,[],[f5871,f3847]) ).
tff(f3847,plain,
! [X0: $int] : ( $product(2,$product(d,$sum(X0,d))) = $product(d,$sum(d,$product(X0,2))) ),
inference(forward_demodulation,[],[f3846,f15]) ).
tff(f3846,plain,
! [X0: $int] : ( $product(d,$sum(d,$product(X0,2))) = $product(2,$product($sum(X0,d),d)) ),
inference(forward_demodulation,[],[f3845,f290]) ).
tff(f3845,plain,
! [X0: $int] : ( $product(d,$product(2,$sum(X0,d))) = $product(d,$sum(d,$product(X0,2))) ),
inference(forward_demodulation,[],[f3844,f282]) ).
tff(f3844,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $product(d,$sum(d,$product(X0,2))) ),
inference(forward_demodulation,[],[f3843,f4]) ).
tff(f3843,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $product(d,$sum($product(X0,2),d)) ),
inference(forward_demodulation,[],[f3798,f2422]) ).
tff(f2422,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product(X0,$sum($product(X1,X2),X3)) = $sum($product(X1,$product(X2,X0)),$product(X0,X3)) ),
inference(superposition,[],[f19,f290]) ).
tff(f3798,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $sum($product(X0,$product(2,d)),$product(d,d)) ),
inference(superposition,[],[f323,f24]) ).
tff(f323,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X1,X0),$product(X0,X2)) ),
inference(superposition,[],[f19,f15]) ).
tff(f5871,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $product(d,$sum(d,$product(d,2))),
inference(forward_demodulation,[],[f5870,f4039]) ).
tff(f4039,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $product(X0,$sum(X2,X1)) ),
inference(superposition,[],[f335,f19]) ).
tff(f5870,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $product(d,$sum($product(d,2),d)),
inference(forward_demodulation,[],[f5869,f2409]) ).
tff(f2409,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product(X0,$sum($product(X1,X2),X3)) = $sum($product(X2,$product(X0,X1)),$product(X0,X3)) ),
inference(superposition,[],[f19,f290]) ).
tff(f5869,plain,
$product(2,$product(d,$sum(d,$product(2,d)))) = $sum($product(2,$product(d,d)),$product(d,d)),
inference(forward_demodulation,[],[f5830,f5091]) ).
tff(f5091,plain,
! [X0: $int] : ( $product(2,$product(d,$sum(d,X0))) = $product(2,$product(d,$sum(X0,d))) ),
inference(superposition,[],[f1111,f16]) ).
tff(f1111,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $product(2,$product(d,$sum(d,X0))) ),
inference(forward_demodulation,[],[f1110,f1105]) ).
tff(f1110,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $product(d,$sum(d,$product(2,X0))) ),
inference(forward_demodulation,[],[f1109,f335]) ).
tff(f1109,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $sum($product(d,$product(2,X0)),$product(d,d)) ),
inference(forward_demodulation,[],[f1088,f282]) ).
tff(f1088,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $sum($product($product(2,d),X0),$product(d,d)) ),
inference(superposition,[],[f19,f24]) ).
tff(f5830,plain,
$sum($product(2,$product(d,d)),$product(d,d)) = $product(2,$product(d,$sum($product(2,d),d))),
inference(superposition,[],[f351,f133]) ).
tff(f351,plain,
! [X0: $int] : ( $sum($product(2,$product(d,X0)),$product(d,d)) = $product(2,$product(d,$sum(X0,d))) ),
inference(forward_demodulation,[],[f350,f16]) ).
tff(f350,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $sum($product(2,$product(d,X0)),$product(d,d)) ),
inference(forward_demodulation,[],[f333,f16]) ).
tff(f333,plain,
! [X0: $int] : ( $product($product(2,d),$sum(X0,d)) = $sum($product($product(2,d),X0),$product(d,d)) ),
inference(superposition,[],[f19,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ARI706_1 : TPTP v8.1.2. Released v6.3.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n028.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 : Fri May 3 21:46:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (8174)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (8175)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (8177)WARNING: value z3 for option sas not known
% 0.16/0.33 % (8175)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (8175)Terminated due to inappropriate strategy.
% 0.16/0.33 % (8175)------------------------------
% 0.16/0.33 % (8175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (8175)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (8175)Memory used [KB]: 723
% 0.16/0.33 % (8175)Time elapsed: 0.002 s
% 0.16/0.33 % (8175)Instructions burned: 2 (million)
% 0.16/0.33 % (8175)------------------------------
% 0.16/0.33 % (8175)------------------------------
% 0.16/0.33 % (8180)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)
% 0.16/0.33 % (8181)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)
% 0.16/0.33 % (8177)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)
% 0.16/0.33 % (8178)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (8176)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (8179)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)
% 0.16/0.33 % (8176)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (8178)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (8176)Terminated due to inappropriate strategy.
% 0.16/0.33 % (8176)------------------------------
% 0.16/0.33 % (8176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (8176)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (8176)Memory used [KB]: 723
% 0.16/0.33 % (8176)Time elapsed: 0.001 s
% 0.16/0.33 % (8176)Instructions burned: 2 (million)
% 0.16/0.33 % (8178)Terminated due to inappropriate strategy.
% 0.16/0.33 % (8178)------------------------------
% 0.16/0.33 % (8178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (8178)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (8178)Memory used [KB]: 723
% 0.16/0.33 % (8178)Time elapsed: 0.002 s
% 0.16/0.33 % (8178)Instructions burned: 2 (million)
% 0.16/0.33 % (8176)------------------------------
% 0.16/0.33 % (8176)------------------------------
% 0.16/0.33 % (8178)------------------------------
% 0.16/0.33 % (8178)------------------------------
% 0.16/0.34 % (8182)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.16/0.34 % (8182)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.34 % (8182)Terminated due to inappropriate strategy.
% 0.16/0.34 % (8182)------------------------------
% 0.16/0.34 % (8182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (8182)Termination reason: Inappropriate
% 0.16/0.34
% 0.16/0.34 % (8182)Memory used [KB]: 723
% 0.16/0.34 % (8182)Time elapsed: 0.002 s
% 0.16/0.34 % (8182)Instructions burned: 2 (million)
% 0.16/0.34 % (8182)------------------------------
% 0.16/0.34 % (8182)------------------------------
% 0.16/0.34 % (8183)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)
% 0.16/0.34 % (8184)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)
% 0.16/0.36 % (8185)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)
% 2.10/0.61 % (8184)First to succeed.
% 2.10/0.61 % (8184)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8174"
% 2.10/0.62 % (8184)Refutation found. Thanks to Tanya!
% 2.10/0.62 % SZS status Theorem for theBenchmark
% 2.10/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.62 % (8184)------------------------------
% 2.10/0.62 % (8184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.10/0.62 % (8184)Termination reason: Refutation
% 2.10/0.62
% 2.10/0.62 % (8184)Memory used [KB]: 3608
% 2.10/0.62 % (8184)Time elapsed: 0.269 s
% 2.10/0.62 % (8184)Instructions burned: 525 (million)
% 2.10/0.62 % (8174)Success in time 0.292 s
%------------------------------------------------------------------------------