TSTP Solution File: HEN007-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN007-2 : 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 : n014.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 16:24:36 EDT 2022
% Result : Unsatisfiable 1.81s 0.59s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f663,plain,
$false,
inference(subsumption_resolution,[],[f662,f19]) ).
fof(f19,axiom,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
fof(f662,plain,
less_equal(zQy,zQx),
inference(forward_demodulation,[],[f661,f237]) ).
fof(f237,plain,
zQy = divide(z,y),
inference(resolution,[],[f212,f8]) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f212,plain,
! [X19] :
( ~ quotient(z,y,X19)
| zQy = X19 ),
inference(resolution,[],[f9,f17]) ).
fof(f17,axiom,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQy) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X1,X8)
| X2 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f661,plain,
less_equal(divide(z,y),zQx),
inference(resolution,[],[f579,f8]) ).
fof(f579,plain,
! [X11] :
( ~ quotient(z,y,X11)
| less_equal(X11,zQx) ),
inference(resolution,[],[f52,f357]) ).
fof(f357,plain,
less_equal(divide(z,zQx),y),
inference(resolution,[],[f354,f25]) ).
fof(f25,plain,
! [X4] :
( ~ less_equal(X4,x)
| less_equal(X4,y) ),
inference(resolution,[],[f14,f16]) ).
fof(f16,axiom,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy) ).
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(f354,plain,
less_equal(divide(z,zQx),x),
inference(resolution,[],[f83,f30]) ).
fof(f30,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f13,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f83,plain,
! [X0] :
( ~ less_equal(zQx,X0)
| less_equal(divide(z,X0),x) ),
inference(resolution,[],[f33,f8]) ).
fof(f33,plain,
! [X2,X3] :
( ~ quotient(z,X2,X3)
| less_equal(X3,x)
| ~ less_equal(zQx,X2) ),
inference(resolution,[],[f15,f18]) ).
fof(f18,axiom,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQx) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X0,X1,X9)
| ~ quotient(X0,X2,X10)
| ~ less_equal(X9,X2)
| less_equal(X10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f52,plain,
! [X10,X8,X9,X7] :
( ~ less_equal(divide(X7,X10),X8)
| less_equal(X9,X10)
| ~ quotient(X7,X8,X9) ),
inference(resolution,[],[f8,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-2 : 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
% 0.14/0.35 % Computer : n014.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 : Mon Aug 29 23:01:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (12969)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)
% 0.20/0.50 % (12985)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.51 % (12977)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)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 TRYING [4]
% 0.20/0.52 % (12986)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)
% 0.20/0.52 % (12978)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)
% 0.20/0.52 % (12970)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 TRYING [5]
% 0.20/0.52 % (12966)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 % (12964)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)
% 0.20/0.53 % (12963)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (12990)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)
% 0.20/0.53 % (12968)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 % (12965)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 % (12970)Instruction limit reached!
% 0.20/0.54 % (12970)------------------------------
% 0.20/0.54 % (12970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12970)Termination reason: Unknown
% 0.20/0.54 % (12970)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12970)Memory used [KB]: 5500
% 0.20/0.54 % (12970)Time elapsed: 0.082 s
% 0.20/0.54 % (12970)Instructions burned: 8 (million)
% 0.20/0.54 % (12970)------------------------------
% 0.20/0.54 % (12970)------------------------------
% 0.20/0.54 % (12967)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 % (12987)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (12982)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)
% 0.20/0.54 % (12988)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (12981)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (12974)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)
% 0.20/0.55 % (12979)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 % (12983)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 % (12972)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)
% 0.20/0.55 % (12976)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (12973)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (12975)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (12971)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 % (12989)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 % (12969)Instruction limit reached!
% 0.20/0.55 % (12969)------------------------------
% 0.20/0.55 % (12969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12969)Termination reason: Unknown
% 0.20/0.55 % (12969)Termination phase: Finite model building constraint generation
% 0.20/0.55
% 0.20/0.55 % (12969)Memory used [KB]: 7803
% 0.20/0.55 % (12969)Time elapsed: 0.121 s
% 0.20/0.55 % (12969)Instructions burned: 51 (million)
% 0.20/0.55 % (12969)------------------------------
% 0.20/0.55 % (12969)------------------------------
% 0.20/0.55 TRYING [4]
% 0.20/0.56 % (12991)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (12992)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)
% 0.20/0.56 % (12964)Refutation not found, incomplete strategy% (12964)------------------------------
% 0.20/0.56 % (12964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12964)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (12964)Memory used [KB]: 5500
% 0.20/0.56 % (12964)Time elapsed: 0.154 s
% 0.20/0.56 % (12964)Instructions burned: 4 (million)
% 0.20/0.56 % (12964)------------------------------
% 0.20/0.56 % (12964)------------------------------
% 0.20/0.56 % (12984)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57 % (12980)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (12967)First to succeed.
% 1.59/0.57 % (12971)Instruction limit reached!
% 1.59/0.57 % (12971)------------------------------
% 1.59/0.57 % (12971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (12971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (12971)Termination reason: Unknown
% 1.59/0.57 % (12971)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (12971)Memory used [KB]: 5373
% 1.59/0.57 % (12971)Time elapsed: 0.147 s
% 1.59/0.57 % (12971)Instructions burned: 2 (million)
% 1.59/0.57 % (12971)------------------------------
% 1.59/0.57 % (12971)------------------------------
% 1.59/0.57 TRYING [4]
% 1.59/0.58 TRYING [5]
% 1.59/0.58 TRYING [5]
% 1.81/0.59 % (12992)Also succeeded, but the first one will report.
% 1.81/0.59 % (12967)Refutation found. Thanks to Tanya!
% 1.81/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.59 % (12967)------------------------------
% 1.81/0.59 % (12967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (12967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (12967)Termination reason: Refutation
% 1.81/0.59
% 1.81/0.59 % (12967)Memory used [KB]: 5756
% 1.81/0.59 % (12967)Time elapsed: 0.167 s
% 1.81/0.59 % (12967)Instructions burned: 19 (million)
% 1.81/0.59 % (12967)------------------------------
% 1.81/0.59 % (12967)------------------------------
% 1.81/0.59 % (12962)Success in time 0.234 s
%------------------------------------------------------------------------------