TSTP Solution File: HEN007-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN007-6 : 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 : n011.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 16:24:37 EDT 2022
% Result : Unsatisfiable 2.15s 0.65s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 48 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 25 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1064,plain,
$false,
inference(subsumption_resolution,[],[f1060,f18]) ).
fof(f18,axiom,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
fof(f1060,plain,
less_equal(zQy,zQx),
inference(resolution,[],[f841,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(resolution,[],[f30,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f30,plain,
! [X6,X5] : less_equal(divide(X5,X6),X5),
inference(resolution,[],[f3,f8]) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f841,plain,
less_equal(zQy,divide(zQx,y)),
inference(resolution,[],[f377,f8]) ).
fof(f377,plain,
! [X1] :
( ~ quotient(zQx,y,X1)
| less_equal(zQy,X1) ),
inference(subsumption_resolution,[],[f361,f249]) ).
fof(f249,plain,
quotient(x,y,zero),
inference(superposition,[],[f8,f223]) ).
fof(f223,plain,
zero = divide(x,y),
inference(resolution,[],[f153,f15]) ).
fof(f15,axiom,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy) ).
fof(f153,plain,
! [X2,X3] :
( ~ less_equal(X2,X3)
| zero = divide(X2,X3) ),
inference(resolution,[],[f66,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f66,plain,
! [X11,X12,X13] :
( ~ quotient(X11,X12,X13)
| divide(X11,X12) = X13 ),
inference(resolution,[],[f9,f8]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| ~ quotient(X0,X1,X2)
| X2 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f361,plain,
! [X1] :
( ~ quotient(x,y,zero)
| ~ quotient(zQx,y,X1)
| less_equal(zQy,X1) ),
inference(resolution,[],[f170,f17]) ).
fof(f17,axiom,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQx) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ quotient(z,X2,X0)
| ~ quotient(X2,y,zero)
| ~ quotient(X0,y,X1)
| less_equal(zQy,X1) ),
inference(resolution,[],[f84,f16]) ).
fof(f16,axiom,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQy) ).
fof(f84,plain,
! [X31,X29,X34,X32,X30,X33] :
( ~ quotient(X33,X30,X34)
| ~ quotient(X31,X30,X32)
| ~ quotient(X33,X29,X31)
| ~ quotient(X29,X30,zero)
| less_equal(X34,X32) ),
inference(resolution,[],[f4,f13]) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X1,X2,X4)
| ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| less_equal(X6,X7)
| ~ quotient(X0,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : n011.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 23:00:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (21013)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (21012)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.55 % (21030)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (21014)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (21013)Instruction limit reached!
% 0.20/0.55 % (21013)------------------------------
% 0.20/0.55 % (21013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (21014)Instruction limit reached!
% 0.20/0.55 % (21014)------------------------------
% 0.20/0.55 % (21014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (21014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (21014)Termination reason: Unknown
% 0.20/0.55 % (21014)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (21014)Memory used [KB]: 5373
% 0.20/0.55 % (21014)Time elapsed: 0.127 s
% 0.20/0.55 % (21014)Instructions burned: 2 (million)
% 0.20/0.55 % (21014)------------------------------
% 0.20/0.55 % (21014)------------------------------
% 0.20/0.55 % (21028)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (21020)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 % (21029)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)
% 0.20/0.55 % (21022)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)
% 0.20/0.55 TRYING [3]
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (21021)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)
% 0.20/0.57 % (21013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (21013)Termination reason: Unknown
% 0.20/0.57 % (21013)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (21013)Memory used [KB]: 5500
% 0.20/0.57 % (21013)Time elapsed: 0.132 s
% 0.20/0.57 % (21013)Instructions burned: 8 (million)
% 0.20/0.57 % (21013)------------------------------
% 0.20/0.57 % (21013)------------------------------
% 0.20/0.58 % (21034)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58 TRYING [5]
% 0.20/0.59 % (21026)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)
% 0.20/0.59 % (21035)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)
% 0.20/0.60 % (21011)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)
% 0.20/0.60 % (21018)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.60 % (21010)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (21009)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)
% 1.87/0.61 % (21027)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.87/0.61 % (21025)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)
% 1.87/0.61 % (21012)Instruction limit reached!
% 1.87/0.61 % (21012)------------------------------
% 1.87/0.61 % (21012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (21012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (21012)Termination reason: Unknown
% 1.87/0.61 % (21012)Termination phase: Finite model building constraint generation
% 1.87/0.61
% 1.87/0.61 % (21012)Memory used [KB]: 7931
% 1.87/0.61 % (21012)Time elapsed: 0.179 s
% 1.87/0.61 % (21012)Instructions burned: 51 (million)
% 1.87/0.61 % (21012)------------------------------
% 1.87/0.61 % (21012)------------------------------
% 1.87/0.62 % (21033)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)
% 1.87/0.62 % (21017)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)
% 2.15/0.63 % (21019)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.15/0.63 % (21015)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)
% 2.15/0.63 % (21031)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.15/0.64 % (21023)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.15/0.64 TRYING [1]
% 2.15/0.64 TRYING [2]
% 2.15/0.64 TRYING [3]
% 2.15/0.64 TRYING [4]
% 2.15/0.65 % (21030)First to succeed.
% 2.15/0.65 % (21007)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)
% 2.15/0.65 % (21030)Refutation found. Thanks to Tanya!
% 2.15/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.15/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.65 % (21030)------------------------------
% 2.15/0.65 % (21030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (21030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (21030)Termination reason: Refutation
% 2.15/0.65
% 2.15/0.65 % (21030)Memory used [KB]: 5756
% 2.15/0.65 % (21030)Time elapsed: 0.218 s
% 2.15/0.65 % (21030)Instructions burned: 39 (million)
% 2.15/0.65 % (21030)------------------------------
% 2.15/0.65 % (21030)------------------------------
% 2.15/0.65 % (21005)Success in time 0.297 s
%------------------------------------------------------------------------------