TSTP Solution File: NUM298+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM298+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n027.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 18:03:58 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 48 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 16 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1051,plain,
$false,
inference(subsumption_resolution,[],[f1042,f783]) ).
fof(f783,plain,
less(n2,nn2),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
less(n2,nn2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(n2,nn2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(n2,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_not_less_nn2) ).
fof(f1042,plain,
~ less(n2,nn2),
inference(resolution,[],[f611,f937]) ).
fof(f937,plain,
less(nn2,n2),
inference(resolution,[],[f908,f583]) ).
fof(f583,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f908,plain,
! [X2,X3] :
( ~ rdn_translate(X2,rdn_pos(X3))
| less(nn2,X2) ),
inference(resolution,[],[f622,f568]) ).
fof(f568,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f622,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(X2,rdn_pos(X1))
| less(X0,X2) ),
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_translate(X0,rdn_neg(X3))
| less(X0,X2) ),
inference(rectify,[],[f453]) ).
fof(f453,plain,
! [X0,X3,X2,X1] :
( ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X1))
| less(X0,X2) ),
inference(flattening,[],[f452]) ).
fof(f452,plain,
! [X2,X1,X3,X0] :
( less(X0,X2)
| ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X2,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f404]) ).
fof(f404,plain,
! [X2,X1,X3,X0] :
( ( rdn_translate(X0,rdn_neg(X1))
& rdn_translate(X2,rdn_pos(X3)) )
=> less(X0,X2) ),
inference(rectify,[],[f282]) ).
fof(f282,axiom,
! [X0,X9,X1,X10] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f611,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0,X1] :
( ( ( ~ less(X1,X0)
& X0 != X1 )
| ~ less(X0,X1) )
& ( less(X0,X1)
| less(X1,X0)
| X0 = X1 ) ),
inference(flattening,[],[f480]) ).
fof(f480,plain,
! [X0,X1] :
( ( ( ~ less(X1,X0)
& X0 != X1 )
| ~ less(X0,X1) )
& ( less(X0,X1)
| less(X1,X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( ( ~ less(X1,X0)
& X0 != X1 )
<=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM298+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:35:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (9038)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (9047)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (9055)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 (2999ds/176Mi)
% 0.19/0.53 % (9049)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)
% 0.19/0.54 % (9040)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)
% 0.19/0.54 % (9045)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9058)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)
% 0.19/0.54 % (9039)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)
% 0.19/0.54 % (9033)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)
% 0.19/0.54 % (9048)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (9044)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (9051)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 (2999ds/99Mi)
% 0.19/0.55 % (9037)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)
% 0.19/0.55 % (9041)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (9036)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)
% 0.19/0.55 % (9050)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)
% 0.19/0.55 % (9061)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)
% 0.19/0.55 % (9056)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (9065)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 (2999ds/355Mi)
% 0.19/0.56 % (9064)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (9059)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56 % (9052)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (9041)Instruction limit reached!
% 0.19/0.56 % (9041)------------------------------
% 0.19/0.56 % (9041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (9041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (9041)Termination reason: Unknown
% 0.19/0.56 % (9041)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (9041)Memory used [KB]: 1279
% 0.19/0.56 % (9041)Time elapsed: 0.007 s
% 0.19/0.56 % (9041)Instructions burned: 7 (million)
% 0.19/0.56 % (9041)------------------------------
% 0.19/0.56 % (9041)------------------------------
% 0.19/0.56 % (9053)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (9054)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)
% 0.19/0.56 % (9042)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (9034)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)
% 0.19/0.56 % (9042)Instruction limit reached!
% 0.19/0.56 % (9042)------------------------------
% 0.19/0.56 % (9042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (9042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (9042)Termination reason: Unknown
% 0.19/0.56 % (9042)Termination phase: Naming
% 0.19/0.56
% 0.19/0.56 % (9042)Memory used [KB]: 1279
% 0.19/0.56 % (9042)Time elapsed: 0.003 s
% 0.19/0.56 % (9042)Instructions burned: 3 (million)
% 0.19/0.56 % (9042)------------------------------
% 0.19/0.56 % (9042)------------------------------
% 0.19/0.56 % (9038)First to succeed.
% 0.19/0.56 % (9038)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (9038)------------------------------
% 0.19/0.56 % (9038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (9038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (9038)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (9038)Memory used [KB]: 6268
% 0.19/0.56 % (9038)Time elapsed: 0.122 s
% 0.19/0.56 % (9038)Instructions burned: 28 (million)
% 0.19/0.56 % (9038)------------------------------
% 0.19/0.56 % (9038)------------------------------
% 0.19/0.56 % (9024)Success in time 0.212 s
%------------------------------------------------------------------------------