TSTP Solution File: HEN007-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 12:10:04 EDT 2024
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f720,plain,
$false,
inference(subsumption_resolution,[],[f718,f19]) ).
fof(f19,axiom,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
fof(f718,plain,
less_equal(zQy,zQx),
inference(resolution,[],[f702,f21]) ).
fof(f21,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f2,f12]) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f702,plain,
! [X0] :
( ~ less_equal(zQx,X0)
| less_equal(zQy,X0) ),
inference(resolution,[],[f686,f455]) ).
fof(f455,plain,
! [X0] :
( ~ less_equal(divide(z,X0),x)
| less_equal(zQy,X0) ),
inference(resolution,[],[f311,f58]) ).
fof(f58,plain,
! [X0] :
( less_equal(X0,y)
| ~ less_equal(X0,x) ),
inference(resolution,[],[f14,f16]) ).
fof(f16,axiom,
less_equal(x,y),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f311,plain,
! [X0] :
( ~ less_equal(divide(z,X0),y)
| less_equal(zQy,X0) ),
inference(resolution,[],[f130,f8]) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
fof(f130,plain,
! [X0,X1] :
( ~ quotient(z,X0,X1)
| ~ less_equal(X1,y)
| less_equal(zQy,X0) ),
inference(resolution,[],[f15,f17]) ).
fof(f17,axiom,
quotient(z,y,zQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQy) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X0,X2,X10)
| less_equal(X10,X1)
| ~ less_equal(X9,X2)
| ~ quotient(X0,X1,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f686,plain,
! [X0] :
( less_equal(divide(z,X0),x)
| ~ less_equal(zQx,X0) ),
inference(resolution,[],[f136,f18]) ).
fof(f18,axiom,
quotient(z,x,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQx) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X2,X3)
| ~ less_equal(X3,X1)
| less_equal(divide(X0,X1),X2) ),
inference(resolution,[],[f15,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 21:35:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (7669)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (7672)WARNING: value z3 for option sas not known
% 0.22/0.38 % (7670)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (7671)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (7673)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (7672)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (7674)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (7675)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (7676)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [4]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [5]
% 0.22/0.39 % (7672)First to succeed.
% 0.22/0.40 % (7672)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (7672)------------------------------
% 0.22/0.40 % (7672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (7672)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (7672)Memory used [KB]: 906
% 0.22/0.40 % (7672)Time elapsed: 0.019 s
% 0.22/0.40 % (7672)Instructions burned: 25 (million)
% 0.22/0.40 % (7672)------------------------------
% 0.22/0.40 % (7672)------------------------------
% 0.22/0.40 % (7669)Success in time 0.035 s
%------------------------------------------------------------------------------