TSTP Solution File: NUM855+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n019.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 18:07:00 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 58 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 11 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(resolution,[],[f458,f253]) ).
fof(f253,plain,
~ greater(sF4,sF5),
inference(definition_folding,[],[f213,f252,f251]) ).
fof(f251,plain,
vmul(vd508,vd511) = sF4,
introduced(function_definition,[]) ).
fof(f252,plain,
vmul(vd509,vd512) = sF5,
introduced(function_definition,[]) ).
fof(f213,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(315), 516, 0)') ).
fof(f458,plain,
greater(sF4,sF5),
inference(resolution,[],[f456,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ less(X1,X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( less(X1,X0)
=> greater(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X72,X71] :
( less(X71,X72)
=> greater(X72,X71) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f456,plain,
less(sF5,sF4),
inference(resolution,[],[f391,f348]) ).
fof(f348,plain,
less(sF5,vmul(vd511,vd509)),
inference(forward_demodulation,[],[f346,f252]) ).
fof(f346,plain,
less(vmul(vd509,vd512),vmul(vd511,vd509)),
inference(resolution,[],[f254,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( greater(X1,X0)
=> less(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X74,X73] :
( greater(X73,X74)
=> less(X74,X73) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f254,plain,
greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f200,f170]) ).
fof(f170,plain,
vmul(vd509,vd512) = vmul(vd512,vd509),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vmul(vd509,vd512) = vmul(vd512,vd509),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 2)') ).
fof(f200,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 1)') ).
fof(f391,plain,
! [X6] :
( ~ less(X6,vmul(vd511,vd509))
| less(X6,sF4) ),
inference(resolution,[],[f162,f328]) ).
fof(f328,plain,
less(vmul(vd511,vd509),sF4),
inference(forward_demodulation,[],[f327,f176]) ).
fof(f176,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X23,X22] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f327,plain,
less(vmul(vd509,vd511),sF4),
inference(forward_demodulation,[],[f323,f251]) ).
fof(f323,plain,
less(vmul(vd509,vd511),vmul(vd508,vd511)),
inference(resolution,[],[f225,f217]) ).
fof(f225,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ less(X2,X0)
| ~ less(X1,X2)
| less(X1,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X2,X1] :
( ~ less(X1,X2)
| less(X1,X0)
| ~ less(X2,X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( less(X1,X0)
| ~ less(X1,X2)
| ~ less(X2,X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X2,X0) )
=> less(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X62,X60,X61] :
( ( less(X60,X61)
& less(X61,X62) )
=> less(X60,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 09:07:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.48 % (15810)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.49 % (15783)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (15799)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.49 % (15781)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.49 % (15793)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.49 % (15780)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 (2999ds/191324Mi)
% 0.17/0.49 % (15787)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (15791)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.50 % (15804)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 (2999ds/467Mi)
% 0.17/0.50 % (15785)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (15796)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 (2999ds/75Mi)
% 0.17/0.50 % (15782)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 (2999ds/37Mi)
% 0.17/0.50 % (15788)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51 % (15783)First to succeed.
% 0.17/0.51 % (15807)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 (2999ds/68Mi)
% 0.17/0.51 % (15806)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.51 TRYING [1]
% 0.17/0.51 % (15790)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 (2999ds/51Mi)
% 0.17/0.51 % (15800)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 (2999ds/100Mi)
% 0.17/0.51 % (15783)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (15783)------------------------------
% 0.17/0.51 % (15783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (15783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (15783)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (15783)Memory used [KB]: 5756
% 0.17/0.51 % (15783)Time elapsed: 0.116 s
% 0.17/0.51 % (15783)Instructions burned: 10 (million)
% 0.17/0.51 % (15783)------------------------------
% 0.17/0.51 % (15783)------------------------------
% 0.17/0.51 % (15777)Success in time 0.178 s
%------------------------------------------------------------------------------