TSTP Solution File: HEN010-4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n026.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 16:24:40 EDT 2022
% Result : Unsatisfiable 1.54s 0.56s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 25 unt; 0 def)
% Number of atoms : 36 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,plain,
$false,
inference(subsumption_resolution,[],[f387,f77]) ).
fof(f77,plain,
zero != divide(sF0,sF2),
inference(resolution,[],[f52,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f52,plain,
~ less_equal(sF0,sF2),
inference(subsumption_resolution,[],[f51,f21]) ).
fof(f21,plain,
sF0 != sF2,
inference(definition_folding,[],[f17,f20,f19,f18,f18,f18]) ).
fof(f18,plain,
divide(identity,a) = sF0,
introduced(function_definition,[]) ).
fof(f19,plain,
sF1 = divide(identity,sF0),
introduced(function_definition,[]) ).
fof(f20,plain,
sF2 = divide(sF0,sF1),
introduced(function_definition,[]) ).
fof(f17,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
fof(f51,plain,
( sF0 = sF2
| ~ less_equal(sF0,sF2) ),
inference(resolution,[],[f6,f28]) ).
fof(f28,plain,
less_equal(sF2,sF0),
inference(superposition,[],[f3,f20]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f387,plain,
zero = divide(sF0,sF2),
inference(resolution,[],[f331,f49]) ).
fof(f49,plain,
! [X5] :
( ~ less_equal(X5,zero)
| zero = X5 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f331,plain,
less_equal(divide(sF0,sF2),zero),
inference(superposition,[],[f290,f112]) ).
fof(f112,plain,
sF0 = divide(identity,sF1),
inference(forward_demodulation,[],[f104,f19]) ).
fof(f104,plain,
sF0 = divide(identity,divide(identity,sF0)),
inference(superposition,[],[f16,f18]) ).
fof(f16,axiom,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f290,plain,
! [X15] : less_equal(divide(divide(X15,sF1),sF2),zero),
inference(backward_demodulation,[],[f148,f286]) ).
fof(f286,plain,
! [X8] : zero = divide(divide(X8,sF0),sF1),
inference(subsumption_resolution,[],[f277,f5]) ).
fof(f277,plain,
! [X8] :
( ~ less_equal(zero,divide(divide(X8,sF0),sF1))
| zero = divide(divide(X8,sF0),sF1) ),
inference(resolution,[],[f174,f6]) ).
fof(f174,plain,
! [X12] : less_equal(divide(divide(X12,sF0),sF1),zero),
inference(forward_demodulation,[],[f173,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f173,plain,
! [X12] : less_equal(divide(divide(X12,sF0),sF1),divide(zero,sF0)),
inference(forward_demodulation,[],[f145,f8]) ).
fof(f8,axiom,
! [X0] : zero = divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_divide_id_is_zero) ).
fof(f145,plain,
! [X12] : less_equal(divide(divide(X12,sF0),sF1),divide(divide(X12,identity),sF0)),
inference(superposition,[],[f4,f19]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f148,plain,
! [X15] : less_equal(divide(divide(X15,sF1),sF2),divide(divide(X15,sF0),sF1)),
inference(superposition,[],[f4,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 23:08:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (25396)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (25397)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)
% 0.20/0.52 % (25394)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (25394)Instruction limit reached!
% 0.20/0.52 % (25394)------------------------------
% 0.20/0.52 % (25394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25394)Termination reason: Unknown
% 0.20/0.52 % (25394)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (25394)Memory used [KB]: 5373
% 0.20/0.52 % (25394)Time elapsed: 0.102 s
% 0.20/0.52 % (25394)Instructions burned: 2 (million)
% 0.20/0.52 % (25394)------------------------------
% 0.20/0.52 % (25394)------------------------------
% 0.20/0.52 % (25386)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.53 % (25412)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 % (25389)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)
% 0.20/0.53 % (25391)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 TRYING [4]
% 0.20/0.53 % (25409)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 % (25414)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (25413)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)
% 0.20/0.54 % (25390)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (25408)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)
% 0.20/0.54 % (25388)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)
% 0.20/0.54 % (25415)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)
% 0.20/0.55 % (25411)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (25401)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)
% 0.20/0.55 % (25406)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)
% 0.20/0.55 % (25403)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (25392)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (25400)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)
% 0.20/0.55 % (25413)First to succeed.
% 0.20/0.56 % (25407)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.56 % (25395)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)
% 1.54/0.56 % (25413)Refutation found. Thanks to Tanya!
% 1.54/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.56 % (25413)------------------------------
% 1.54/0.56 % (25413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (25413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (25413)Termination reason: Refutation
% 1.54/0.56
% 1.54/0.56 % (25413)Memory used [KB]: 1151
% 1.54/0.56 % (25413)Time elapsed: 0.135 s
% 1.54/0.56 % (25413)Instructions burned: 15 (million)
% 1.54/0.56 % (25413)------------------------------
% 1.54/0.56 % (25413)------------------------------
% 1.54/0.56 % (25383)Success in time 0.201 s
%------------------------------------------------------------------------------