TSTP Solution File: NUM297+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM297+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 : n021.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 18:03:57 EDT 2022
% Result : Theorem 2.45s 0.71s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 34 ~; 26 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1248,plain,
$false,
inference(resolution,[],[f1246,f903]) ).
fof(f903,plain,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn4) ).
fof(f1246,plain,
~ rdn_translate(nn4,rdn_neg(rdnn(n4))),
inference(resolution,[],[f1233,f778]) ).
fof(f778,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f1233,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X0))
| ~ rdn_translate(nn4,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f1227,f558]) ).
fof(f558,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/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f1227,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_translate(nn4,rdn_neg(rdnn(X1))) ),
inference(resolution,[],[f620,f1194]) ).
fof(f1194,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(n2),X0)
| ~ rdn_translate(nn4,rdn_neg(X0)) ),
inference(resolution,[],[f1190,f682]) ).
fof(f682,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(f1190,plain,
! [X0,X1] :
( ~ rdn_translate(nn2,rdn_neg(X0))
| ~ rdn_translate(nn4,rdn_neg(X1))
| ~ rdn_positive_less(X0,X1) ),
inference(resolution,[],[f669,f837]) ).
fof(f837,plain,
~ less(nn4,nn2),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
~ less(nn4,nn2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ less(nn4,nn2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
less(nn4,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nn4_less_nn2) ).
fof(f669,plain,
! [X2,X3,X0,X1] :
( less(X1,X2)
| ~ rdn_translate(X2,rdn_neg(X3))
| ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X1,rdn_neg(X0)) ),
inference(cnf_transformation,[],[f487]) ).
fof(f487,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X1,rdn_neg(X0))
| less(X1,X2)
| ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X2,rdn_neg(X3)) ),
inference(rectify,[],[f473]) ).
fof(f473,plain,
! [X2,X0,X1,X3] :
( ~ rdn_translate(X0,rdn_neg(X2))
| less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3)) ),
inference(flattening,[],[f472]) ).
fof(f472,plain,
! [X3,X2,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f418]) ).
fof(f418,plain,
! [X3,X2,X0,X1] :
( ( rdn_translate(X1,rdn_neg(X3))
& rdn_positive_less(X3,X2)
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X0,X1,X9,X10] :
( ( rdn_positive_less(X10,X9)
& rdn_translate(X0,rdn_neg(X9))
& rdn_translate(X1,rdn_neg(X10)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
fof(f620,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X0)) ),
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1))
| rdn_positive_less(rdnn(X2),rdnn(X0)) ),
inference(rectify,[],[f457]) ).
fof(f457,plain,
! [X1,X2,X0] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f456]) ).
fof(f456,plain,
! [X1,X2,X0] :
( rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1)) ),
inference(ennf_transformation,[],[f422]) ).
fof(f422,plain,
! [X1,X2,X0] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_positive_less(rdnn(X2),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(rectify,[],[f275]) ).
fof(f275,axiom,
! [X0,X2,X1] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 06:16:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.33/0.56 % (18298)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)
% 1.33/0.56 % (18285)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)
% 1.33/0.56 % (18283)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)
% 1.33/0.56 % (18277)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.56 % (18275)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)
% 1.33/0.56 % (18277)Instruction limit reached!
% 1.33/0.56 % (18277)------------------------------
% 1.33/0.56 % (18277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56 % (18277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.57 % (18277)Termination reason: Unknown
% 1.33/0.57 % (18277)Termination phase: Preprocessing 1
% 1.33/0.57
% 1.33/0.57 % (18277)Memory used [KB]: 1151
% 1.33/0.57 % (18277)Time elapsed: 0.003 s
% 1.33/0.57 % (18277)Instructions burned: 2 (million)
% 1.33/0.57 % (18277)------------------------------
% 1.33/0.57 % (18277)------------------------------
% 1.33/0.57 % (18282)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.57 % (18290)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.57 % (18293)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.58 % (18291)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)
% 1.33/0.60 % (18279)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.61 % (18286)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.33/0.61 % (18270)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)
% 1.33/0.62 % (18295)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)
% 1.33/0.62 % (18296)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)
% 1.33/0.62 % (18292)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)
% 1.33/0.62 % (18294)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.33/0.62 % (18272)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)
% 1.33/0.62 % (18273)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.62 % (18284)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)
% 1.33/0.63 % (18271)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)
% 1.33/0.63 % (18280)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)
% 1.33/0.63 % (18276)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.64 % (18278)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)
% 1.33/0.64 % (18287)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.64 % (18288)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)
% 2.09/0.65 % (18275)Instruction limit reached!
% 2.09/0.65 % (18275)------------------------------
% 2.09/0.65 % (18275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (18276)Instruction limit reached!
% 2.09/0.66 % (18276)------------------------------
% 2.09/0.66 % (18276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (18276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (18276)Termination reason: Unknown
% 2.09/0.66 % (18276)Termination phase: Property scanning
% 2.09/0.66
% 2.09/0.66 % (18276)Memory used [KB]: 1279
% 2.09/0.66 % (18276)Time elapsed: 0.007 s
% 2.09/0.66 % (18276)Instructions burned: 7 (million)
% 2.09/0.66 % (18276)------------------------------
% 2.09/0.66 % (18276)------------------------------
% 2.09/0.66 % (18275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (18275)Termination reason: Unknown
% 2.09/0.66 % (18275)Termination phase: Finite model building preprocessing
% 2.09/0.66
% 2.09/0.66 % (18275)Memory used [KB]: 7547
% 2.09/0.66 % (18275)Time elapsed: 0.036 s
% 2.09/0.66 % (18275)Instructions burned: 51 (million)
% 2.09/0.66 % (18275)------------------------------
% 2.09/0.66 % (18275)------------------------------
% 2.09/0.67 % (18269)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)
% 2.09/0.67 % (18297)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.09/0.68 % (18281)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.09/0.69 % (18274)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)
% 2.09/0.69 % (18289)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)
% 2.09/0.69 % (18283)Instruction limit reached!
% 2.09/0.69 % (18283)------------------------------
% 2.09/0.69 % (18283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69 % (18283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69 % (18283)Termination reason: Unknown
% 2.09/0.69 % (18283)Termination phase: Saturation
% 2.09/0.69
% 2.09/0.69 % (18283)Memory used [KB]: 7547
% 2.09/0.69 % (18283)Time elapsed: 0.069 s
% 2.09/0.69 % (18283)Instructions burned: 69 (million)
% 2.09/0.69 % (18283)------------------------------
% 2.09/0.69 % (18283)------------------------------
% 2.45/0.70 % (18271)Instruction limit reached!
% 2.45/0.70 % (18271)------------------------------
% 2.45/0.70 % (18271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70 % (18271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70 % (18271)Termination reason: Unknown
% 2.45/0.70 % (18271)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (18271)Memory used [KB]: 1791
% 2.45/0.71 % (18271)Time elapsed: 0.218 s
% 2.45/0.71 % (18271)Instructions burned: 37 (million)
% 2.45/0.71 % (18271)------------------------------
% 2.45/0.71 % (18271)------------------------------
% 2.45/0.71 % (18270)Instruction limit reached!
% 2.45/0.71 % (18270)------------------------------
% 2.45/0.71 % (18270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (18270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (18270)Termination reason: Unknown
% 2.45/0.71 % (18270)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (18270)Memory used [KB]: 6524
% 2.45/0.71 % (18270)Time elapsed: 0.238 s
% 2.45/0.71 % (18270)Instructions burned: 50 (million)
% 2.45/0.71 % (18270)------------------------------
% 2.45/0.71 % (18270)------------------------------
% 2.45/0.71 % (18278)First to succeed.
% 2.45/0.71 % (18278)Refutation found. Thanks to Tanya!
% 2.45/0.71 % SZS status Theorem for theBenchmark
% 2.45/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.71 % (18278)------------------------------
% 2.45/0.71 % (18278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (18278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (18278)Termination reason: Refutation
% 2.45/0.71
% 2.45/0.71 % (18278)Memory used [KB]: 2174
% 2.45/0.71 % (18278)Time elapsed: 0.233 s
% 2.45/0.71 % (18278)Instructions burned: 45 (million)
% 2.45/0.71 % (18278)------------------------------
% 2.45/0.71 % (18278)------------------------------
% 2.45/0.71 % (18268)Success in time 0.356 s
%------------------------------------------------------------------------------