TSTP Solution File: SEU424+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n025.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 18:33:49 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 88 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 95 ( 39 ~; 20 |; 25 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 52 ( 32 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(subsumption_resolution,[],[f366,f189]) ).
fof(f189,plain,
m1_subset_1(sK8,sF16),
inference(definition_folding,[],[f171,f188]) ).
fof(f188,plain,
sF16 = k1_zfmisc_1(sK7),
introduced(function_definition,[]) ).
fof(f171,plain,
m1_subset_1(sK8,k1_zfmisc_1(sK7)),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK7,sK9,sK8,sK10),k1_zfmisc_1(k1_zfmisc_1(sK9)))
& m2_relset_1(sK10,sK7,sK9)
& m1_subset_1(sK8,k1_zfmisc_1(sK7))
& ~ v1_xboole_0(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f127,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,X0,X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK7,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,sK7,X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK7)) )
& ~ v1_xboole_0(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK7,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,sK7,X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK7)) )
=> ( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK7,sK9,sK8,X3),k1_zfmisc_1(k1_zfmisc_1(sK9)))
& m2_relset_1(X3,sK7,sK9) )
& m1_subset_1(sK8,k1_zfmisc_1(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK7,sK9,sK8,X3),k1_zfmisc_1(k1_zfmisc_1(sK9)))
& m2_relset_1(X3,sK7,sK9) )
=> ( ~ m1_subset_1(a_4_0_relset_2(sK7,sK9,sK8,sK10),k1_zfmisc_1(k1_zfmisc_1(sK9)))
& m2_relset_1(sK10,sK7,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,X0,X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f366,plain,
~ m1_subset_1(sK8,sF16),
inference(forward_demodulation,[],[f365,f188]) ).
fof(f365,plain,
~ m1_subset_1(sK8,k1_zfmisc_1(sK7)),
inference(subsumption_resolution,[],[f364,f187]) ).
fof(f187,plain,
~ m1_subset_1(sF13,sF15),
inference(definition_folding,[],[f173,f186,f185,f184]) ).
fof(f184,plain,
a_4_0_relset_2(sK7,sK9,sK8,sK10) = sF13,
introduced(function_definition,[]) ).
fof(f185,plain,
k1_zfmisc_1(sK9) = sF14,
introduced(function_definition,[]) ).
fof(f186,plain,
k1_zfmisc_1(sF14) = sF15,
introduced(function_definition,[]) ).
fof(f173,plain,
~ m1_subset_1(a_4_0_relset_2(sK7,sK9,sK8,sK10),k1_zfmisc_1(k1_zfmisc_1(sK9))),
inference(cnf_transformation,[],[f131]) ).
fof(f364,plain,
( ~ m1_subset_1(sK8,k1_zfmisc_1(sK7))
| m1_subset_1(sF13,sF15) ),
inference(forward_demodulation,[],[f363,f186]) ).
fof(f363,plain,
( m1_subset_1(sF13,k1_zfmisc_1(sF14))
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK7)) ),
inference(forward_demodulation,[],[f362,f185]) ).
fof(f362,plain,
( m1_subset_1(sF13,k1_zfmisc_1(k1_zfmisc_1(sK9)))
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK7)) ),
inference(subsumption_resolution,[],[f361,f172]) ).
fof(f172,plain,
m2_relset_1(sK10,sK7,sK9),
inference(cnf_transformation,[],[f131]) ).
fof(f361,plain,
( ~ m2_relset_1(sK10,sK7,sK9)
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK7))
| m1_subset_1(sF13,k1_zfmisc_1(k1_zfmisc_1(sK9))) ),
inference(subsumption_resolution,[],[f355,f170]) ).
fof(f170,plain,
~ v1_xboole_0(sK7),
inference(cnf_transformation,[],[f131]) ).
fof(f355,plain,
( v1_xboole_0(sK7)
| ~ m2_relset_1(sK10,sK7,sK9)
| m1_subset_1(sF13,k1_zfmisc_1(k1_zfmisc_1(sK9)))
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK7)) ),
inference(superposition,[],[f181,f184]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X3,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m2_relset_1(X2,X3,X0)
| v1_xboole_0(X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X2,X3,X0)
| v1_xboole_0(X3)
| m1_subset_1(a_4_0_relset_2(X3,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1,X3] :
( ~ m2_relset_1(X1,X3,X2)
| v1_xboole_0(X3)
| m1_subset_1(a_4_0_relset_2(X3,X2,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3)) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X3,X2,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X3,X2,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X1,X3,X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(X3)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X3,X2,X0,X1] :
( ( m2_relset_1(X1,X3,X2)
& ~ v1_xboole_0(X3)
& m1_subset_1(X0,k1_zfmisc_1(X3)) )
=> m1_subset_1(a_4_0_relset_2(X3,X2,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X2,X3,X1,X0] :
( ( ~ v1_xboole_0(X0)
& m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 15:41:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (15350)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (15356)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (15341)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)
% 0.20/0.51 % (15357)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)
% 0.20/0.51 % (15338)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)
% 0.20/0.51 % (15356)First to succeed.
% 0.20/0.51 % (15339)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (15340)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)
% 0.20/0.52 % (15359)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (15362)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (15363)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (15360)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 (2999ds/498Mi)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (15345)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (15342)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (15364)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)
% 0.20/0.53 % (15361)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)
% 0.20/0.53 % (15352)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)
% 0.20/0.53 % (15343)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 (2999ds/48Mi)
% 0.20/0.53 % (15365)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 (2999ds/177Mi)
% 0.20/0.53 % (15356)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (15356)------------------------------
% 0.20/0.53 % (15356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15356)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (15356)Memory used [KB]: 5628
% 0.20/0.53 % (15356)Time elapsed: 0.117 s
% 0.20/0.53 % (15356)Instructions burned: 9 (million)
% 0.20/0.53 % (15356)------------------------------
% 0.20/0.53 % (15356)------------------------------
% 0.20/0.53 % (15337)Success in time 0.185 s
%------------------------------------------------------------------------------