TSTP Solution File: HEN009-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 16:24:39 EDT 2022
% Result : Unsatisfiable 1.49s 0.57s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 34 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(subsumption_resolution,[],[f361,f271]) ).
fof(f271,plain,
less_equal(sF1,a),
inference(superposition,[],[f231,f18]) ).
fof(f18,plain,
divide(identity,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f231,plain,
! [X0] : less_equal(divide(X0,sF0),a),
inference(resolution,[],[f159,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f159,plain,
! [X9] : less_equal(divide(X9,a),sF0),
inference(subsumption_resolution,[],[f152,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f152,plain,
! [X9] :
( ~ less_equal(X9,identity)
| less_equal(divide(X9,a),sF0) ),
inference(superposition,[],[f15,f17]) ).
fof(f17,plain,
divide(identity,a) = sF0,
introduced(function_definition,[]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f361,plain,
~ less_equal(sF1,a),
inference(subsumption_resolution,[],[f358,f251]) ).
fof(f251,plain,
~ less_equal(sF0,sF2),
inference(subsumption_resolution,[],[f249,f20]) ).
fof(f20,plain,
sF2 != sF0,
inference(definition_folding,[],[f16,f19,f18,f17,f17]) ).
fof(f19,plain,
sF2 = divide(identity,sF1),
introduced(function_definition,[]) ).
fof(f16,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f249,plain,
( ~ less_equal(sF0,sF2)
| sF2 = sF0 ),
inference(resolution,[],[f247,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f247,plain,
less_equal(sF2,sF0),
inference(superposition,[],[f160,f19]) ).
fof(f160,plain,
! [X0] : less_equal(divide(X0,sF1),sF0),
inference(resolution,[],[f157,f13]) ).
fof(f157,plain,
! [X10] : less_equal(divide(X10,sF0),sF1),
inference(subsumption_resolution,[],[f153,f7]) ).
fof(f153,plain,
! [X10] :
( less_equal(divide(X10,sF0),sF1)
| ~ less_equal(X10,identity) ),
inference(superposition,[],[f15,f18]) ).
fof(f358,plain,
( less_equal(sF0,sF2)
| ~ less_equal(sF1,a) ),
inference(superposition,[],[f124,f19]) ).
fof(f124,plain,
! [X9] :
( less_equal(sF0,divide(identity,X9))
| ~ less_equal(X9,a) ),
inference(superposition,[],[f14,f17]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( less_equal(divide(X2,X1),divide(X2,X0))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % 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 : n025.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 : Mon Aug 29 23:03:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.25/0.54 % (21173)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.25/0.54 % (21179)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)
% 1.49/0.55 % (21171)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)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 TRYING [2]
% 1.49/0.55 % (21189)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.55 TRYING [3]
% 1.49/0.55 % (21173)Instruction limit reached!
% 1.49/0.55 % (21173)------------------------------
% 1.49/0.55 % (21173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (21173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (21173)Termination reason: Unknown
% 1.49/0.55 % (21173)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (21173)Memory used [KB]: 5373
% 1.49/0.55 % (21173)Time elapsed: 0.126 s
% 1.49/0.55 % (21173)Instructions burned: 2 (million)
% 1.49/0.55 % (21173)------------------------------
% 1.49/0.55 % (21173)------------------------------
% 1.49/0.56 % (21180)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)
% 1.49/0.56 % (21187)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)
% 1.49/0.56 TRYING [4]
% 1.49/0.56 % (21192)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)
% 1.49/0.57 % (21175)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.57 % (21172)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.57 % (21194)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)
% 1.49/0.57 % (21169)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.57 % (21189)First to succeed.
% 1.49/0.57 % (21191)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)
% 1.49/0.57 % (21172)Instruction limit reached!
% 1.49/0.57 % (21172)------------------------------
% 1.49/0.57 % (21172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (21182)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.57 % (21189)Refutation found. Thanks to Tanya!
% 1.49/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.57 % (21189)------------------------------
% 1.49/0.57 % (21189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (21189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (21189)Termination reason: Refutation
% 1.49/0.57
% 1.49/0.57 % (21189)Memory used [KB]: 5628
% 1.49/0.57 % (21189)Time elapsed: 0.140 s
% 1.49/0.57 % (21189)Instructions burned: 13 (million)
% 1.49/0.57 % (21189)------------------------------
% 1.49/0.57 % (21189)------------------------------
% 1.49/0.57 % (21163)Success in time 0.222 s
%------------------------------------------------------------------------------