TSTP Solution File: NUM301+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM301+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 : n013.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 0.47s 0.78s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 25 ~; 19 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 40 ( 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1945,plain,
$false,
inference(subsumption_resolution,[],[f1943,f1587]) ).
fof(f1587,plain,
sP15(nn2,rdnn(n3)),
inference(resolution,[],[f1480,f703]) ).
fof(f703,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
fof(f1480,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X1))
| sP15(nn2,X1) ),
inference(resolution,[],[f939,f906]) ).
fof(f906,plain,
! [X0] : ~ less(X0,nn2),
inference(cnf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0] : ~ less(X0,nn2),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : less(X0,nn2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : less(X0,nn2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_nn2) ).
fof(f939,plain,
! [X2,X0,X1] :
( less(X2,X0)
| ~ rdn_translate(X2,rdn_neg(X1))
| sP15(X0,X1) ),
inference(cnf_transformation,[],[f939_D]) ).
fof(f939_D,plain,
! [X1,X0] :
( ! [X2] :
( less(X2,X0)
| ~ rdn_translate(X2,rdn_neg(X1)) )
<=> ~ sP15(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1943,plain,
~ sP15(nn2,rdnn(n3)),
inference(resolution,[],[f1837,f699]) ).
fof(f699,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f1837,plain,
! [X1] :
( ~ rdn_positive_less(rdnn(n2),X1)
| ~ sP15(nn2,X1) ),
inference(resolution,[],[f940,f822]) ).
fof(f822,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/sandbox/benchmark/theBenchmark.p',rdnn2) ).
fof(f940,plain,
! [X3,X0,X1] :
( ~ sP15(X0,X1)
| ~ rdn_positive_less(X3,X1)
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(general_splitting,[],[f714,f939_D]) ).
fof(f714,plain,
! [X2,X3,X0,X1] :
( less(X2,X0)
| ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_positive_less(X3,X1)
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(cnf_transformation,[],[f489]) ).
fof(f489,plain,
! [X0,X1,X2,X3] :
( less(X2,X0)
| ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_positive_less(X3,X1)
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(rectify,[],[f464]) ).
fof(f464,plain,
! [X1,X0,X2,X3] :
( less(X2,X1)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X2,rdn_neg(X0)) ),
inference(flattening,[],[f463]) ).
fof(f463,plain,
! [X3,X1,X2,X0] :
( less(X2,X1)
| ~ rdn_translate(X2,rdn_neg(X0))
| ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X1,rdn_neg(X3)) ),
inference(ennf_transformation,[],[f408]) ).
fof(f408,plain,
! [X3,X1,X2,X0] :
( ( rdn_translate(X2,rdn_neg(X0))
& rdn_positive_less(X3,X0)
& rdn_translate(X1,rdn_neg(X3)) )
=> less(X2,X1) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X9,X1,X0,X10] :
( ( rdn_translate(X1,rdn_neg(X10))
& rdn_positive_less(X10,X9)
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM301+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:16:47 EDT 2022
% 0.14/0.35 % CPUTime :
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% 0.20/0.54 ipcrm: permission denied for id (761364607)
% 0.42/0.71 % (7916)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2Mi)
% 0.42/0.71 % (7924)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 (2997ds/99Mi)
% 0.42/0.72 % (7928)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 (2997ds/176Mi)
% 0.42/0.72 % (7914)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.42/0.73 % (7934)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 (2997ds/68Mi)
% 0.42/0.73 % (7933)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 0.42/0.73 % (7936)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 0.42/0.73 % (7925)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/59Mi)
% 0.42/0.73 % (7916)Instruction limit reached!
% 0.42/0.73 % (7916)------------------------------
% 0.42/0.73 % (7916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.42/0.73 % (7916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.42/0.73 % (7916)Termination reason: Unknown
% 0.42/0.73 % (7916)Termination phase: Preprocessing 3
% 0.42/0.73
% 0.42/0.73 % (7916)Memory used [KB]: 1279
% 0.42/0.73 % (7916)Time elapsed: 0.004 s
% 0.42/0.73 % (7916)Instructions burned: 3 (million)
% 0.42/0.73 % (7916)------------------------------
% 0.42/0.73 % (7916)------------------------------
% 0.42/0.73 % (7922)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 (2997ds/68Mi)
% 0.42/0.74 % (7930)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 (2997ds/498Mi)
% 0.42/0.74 % (7910)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 (2997ds/37Mi)
% 0.42/0.74 % (7911)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.42/0.74 % (7937)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 (2997ds/355Mi)
% 0.42/0.75 % (7913)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 (2997ds/48Mi)
% 0.42/0.75 % (7908)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 (2997ds/191324Mi)
% 0.42/0.75 % (7917)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 (2997ds/51Mi)
% 0.47/0.75 % (7927)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 (2997ds/100Mi)
% 0.47/0.75 % (7915)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.47/0.75 % (7918)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.47/0.75 % (7926)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.47/0.76 % (7929)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/138Mi)
% 0.47/0.76 % (7919)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.47/0.76 % (7935)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 (2997ds/177Mi)
% 0.47/0.76 % (7931)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 (2997ds/467Mi)
% 0.47/0.76 % (7921)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/99Mi)
% 0.47/0.76 % (7912)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.47/0.76 % (7909)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.47/0.77 % (7924)First to succeed.
% 0.47/0.77 % (7915)Instruction limit reached!
% 0.47/0.77 % (7915)------------------------------
% 0.47/0.77 % (7915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.47/0.77 % (7915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.47/0.77 % (7915)Termination reason: Unknown
% 0.47/0.77 % (7915)Termination phase: Property scanning
% 0.47/0.77
% 0.47/0.77 % (7915)Memory used [KB]: 1279
% 0.47/0.77 % (7915)Time elapsed: 0.005 s
% 0.47/0.77 % (7915)Instructions burned: 10 (million)
% 0.47/0.77 % (7915)------------------------------
% 0.47/0.77 % (7915)------------------------------
% 0.47/0.78 % (7932)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/482Mi)
% 0.47/0.78 % (7924)Refutation found. Thanks to Tanya!
% 0.47/0.78 % SZS status Theorem for theBenchmark
% 0.47/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.78 % (7924)------------------------------
% 0.47/0.78 % (7924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.47/0.78 % (7924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.47/0.78 % (7924)Termination reason: Refutation
% 0.47/0.78
% 0.47/0.78 % (7924)Memory used [KB]: 6908
% 0.47/0.78 % (7924)Time elapsed: 0.137 s
% 0.47/0.78 % (7924)Instructions burned: 60 (million)
% 0.47/0.78 % (7924)------------------------------
% 0.47/0.78 % (7924)------------------------------
% 0.47/0.78 % (7741)Success in time 0.417 s
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