TSTP Solution File: HEN008-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN008-1 : 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 : n001.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 0.14s 0.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 49 ( 6 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f324,plain,
$false,
inference(subsumption_resolution,[],[f319,f13]) ).
fof(f13,axiom,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
fof(f319,plain,
less_equal(aQc,bQc),
inference(resolution,[],[f311,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f311,plain,
quotient(aQc,bQc,zero),
inference(superposition,[],[f8,f306]) ).
fof(f306,plain,
zero = divide(aQc,bQc),
inference(resolution,[],[f284,f45]) ).
fof(f45,plain,
! [X1] :
( ~ less_equal(X1,zero)
| zero = X1 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f284,plain,
less_equal(divide(aQc,bQc),zero),
inference(forward_demodulation,[],[f283,f103]) ).
fof(f103,plain,
aQc = divide(a,c),
inference(resolution,[],[f100,f8]) ).
fof(f100,plain,
! [X13] :
( ~ quotient(a,c,X13)
| aQc = X13 ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| X2 = X8
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_defined) ).
fof(f283,plain,
less_equal(divide(divide(a,c),bQc),zero),
inference(resolution,[],[f278,f8]) ).
fof(f278,plain,
! [X0] :
( ~ quotient(a,c,X0)
| less_equal(divide(X0,bQc),zero) ),
inference(resolution,[],[f224,f23]) ).
fof(f23,plain,
quotient(a,b,zero),
inference(resolution,[],[f1,f10]) ).
fof(f10,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f224,plain,
! [X4,X5] :
( ~ quotient(X5,b,zero)
| less_equal(divide(X4,bQc),zero)
| ~ quotient(X5,c,X4) ),
inference(resolution,[],[f84,f21]) ).
fof(f21,plain,
! [X1] : quotient(zero,X1,zero),
inference(resolution,[],[f1,f5]) ).
fof(f84,plain,
! [X10,X8,X9,X7] :
( ~ quotient(X9,c,X10)
| less_equal(divide(X8,bQc),X10)
| ~ quotient(X7,b,X9)
| ~ quotient(X7,c,X8) ),
inference(resolution,[],[f18,f8]) ).
fof(f18,plain,
! [X8,X6,X9,X7,X5] :
( ~ quotient(X8,bQc,X9)
| ~ quotient(X5,c,X8)
| ~ quotient(X5,b,X6)
| ~ quotient(X6,c,X7)
| less_equal(X9,X7) ),
inference(resolution,[],[f4,f12]) ).
fof(f12,axiom,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X5,X4,X6)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : HEN008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29 % Computer : n001.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 23:24:15 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.44 % (16318)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.14/0.45 % (16322)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 (3000ds/99Mi)
% 0.14/0.45 % (16329)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 (3000ds/467Mi)
% 0.14/0.45 % (16314)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.45 % (16327)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.14/0.45 % (16313)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.45 % (16312)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.46 % (16330)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.14/0.46 % (16334)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.14/0.46 % (16314)Instruction limit reached!
% 0.14/0.46 % (16314)------------------------------
% 0.14/0.46 % (16314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (16321)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 (3000ds/75Mi)
% 0.14/0.46 TRYING [1]
% 0.14/0.46 TRYING [2]
% 0.14/0.46 TRYING [3]
% 0.14/0.46 % (16313)Instruction limit reached!
% 0.14/0.46 % (16313)------------------------------
% 0.14/0.46 % (16313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (16314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (16314)Termination reason: Unknown
% 0.14/0.47 % (16314)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (16314)Memory used [KB]: 5373
% 0.14/0.47 % (16314)Time elapsed: 0.106 s
% 0.14/0.47 % (16314)Instructions burned: 2 (million)
% 0.14/0.47 % (16314)------------------------------
% 0.14/0.47 % (16314)------------------------------
% 0.14/0.47 TRYING [4]
% 0.14/0.47 % (16328)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 (3000ds/498Mi)
% 0.14/0.47 % (16320)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 (3000ds/68Mi)
% 0.14/0.47 % (16313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (16313)Termination reason: Unknown
% 0.14/0.47 % (16313)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (16313)Memory used [KB]: 5500
% 0.14/0.47 % (16313)Time elapsed: 0.113 s
% 0.14/0.47 % (16313)Instructions burned: 7 (million)
% 0.14/0.47 % (16313)------------------------------
% 0.14/0.47 % (16313)------------------------------
% 0.14/0.48 % (16334)First to succeed.
% 0.14/0.49 % (16321)Also succeeded, but the first one will report.
% 0.14/0.49 % (16334)Refutation found. Thanks to Tanya!
% 0.14/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49 % (16334)------------------------------
% 0.14/0.49 % (16334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (16334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (16334)Termination reason: Refutation
% 0.14/0.49
% 0.14/0.49 % (16334)Memory used [KB]: 5628
% 0.14/0.49 % (16334)Time elapsed: 0.133 s
% 0.14/0.49 % (16334)Instructions burned: 11 (million)
% 0.14/0.49 % (16334)------------------------------
% 0.14/0.49 % (16334)------------------------------
% 0.14/0.49 % (16305)Success in time 0.183 s
%------------------------------------------------------------------------------