TSTP Solution File: HEN006-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN006-2 : 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 : n023.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 12:10:03 EDT 2024
% Result : Unsatisfiable 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 19 unt; 0 def)
% Number of atoms : 70 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 43 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15346,plain,
$false,
inference(subsumption_resolution,[],[f15276,f203]) ).
fof(f203,plain,
! [X0] : ~ quotient(xQz,divide(y,X0),zero),
inference(unit_resulting_resolution,[],[f111,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f111,plain,
! [X0] : ~ less_equal(xQz,divide(y,X0)),
inference(unit_resulting_resolution,[],[f18,f49,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f49,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(unit_resulting_resolution,[],[f8,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(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f18,axiom,
~ less_equal(xQz,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xQzLEy) ).
fof(f15276,plain,
quotient(xQz,divide(y,z),zero),
inference(superposition,[],[f8,f12413]) ).
fof(f12413,plain,
zero = divide(xQz,divide(y,z)),
inference(unit_resulting_resolution,[],[f5,f8249,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f8249,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(unit_resulting_resolution,[],[f8,f7041,f19]) ).
fof(f19,plain,
! [X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| sP0(X5,X4,X7) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X7,X4,X5] :
( ! [X6] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7) )
<=> ~ sP0(X5,X4,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7041,plain,
~ sP0(xQz,divide(y,z),zero),
inference(unit_resulting_resolution,[],[f8,f6088,f24]) ).
fof(f24,plain,
! [X2,X1,X7,X4,X5] :
( ~ sP2(X7,X5,X2,X1)
| ~ sP0(X5,X4,X7)
| ~ quotient(X1,X2,X4) ),
inference(general_splitting,[],[f22,f23_D]) ).
fof(f23,plain,
! [X2,X0,X1,X7,X5] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5)
| sP2(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f23_D]) ).
fof(f23_D,plain,
! [X1,X2,X5,X7] :
( ! [X0] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5) )
<=> ~ sP2(X7,X5,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f22,plain,
! [X2,X0,X1,X7,X4,X5] :
( ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ sP0(X5,X4,X7)
| ~ sP1(X1,X0,X2,X7) ),
inference(general_splitting,[],[f20,f21_D]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP1(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
! [X7,X2,X0,X1] :
( ! [X3] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3) )
<=> ~ sP1(X1,X0,X2,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ sP0(X5,X4,X7) ),
inference(general_splitting,[],[f4,f19_D]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_equal(X6,X7)
| ~ quotient(X3,X2,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f6088,plain,
sP2(zero,xQz,z,y),
inference(forward_demodulation,[],[f5888,f337]) ).
fof(f337,plain,
zero = divide(xQy,z),
inference(unit_resulting_resolution,[],[f8,f25,f9]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| X2 = X8
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f25,plain,
quotient(xQy,z,zero),
inference(unit_resulting_resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f16,axiom,
less_equal(xQy,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz) ).
fof(f5888,plain,
sP2(divide(xQy,z),xQz,z,y),
inference(unit_resulting_resolution,[],[f17,f3767,f23]) ).
fof(f3767,plain,
! [X0] : sP1(y,x,X0,divide(xQy,X0)),
inference(unit_resulting_resolution,[],[f15,f8,f21]) ).
fof(f15,axiom,
quotient(x,y,xQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQy) ).
fof(f17,axiom,
quotient(x,z,xQz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQz) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.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 Apr 29 22:18:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.35 % (27550)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (27553)WARNING: value z3 for option sas not known
% 0.21/0.37 % (27554)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (27551)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (27552)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (27553)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)
% 0.21/0.37 % (27555)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)
% 0.21/0.37 % (27556)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)
% 0.21/0.37 % (27557)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [4]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [6]
% 0.21/0.43 TRYING [5]
% 0.21/0.45 TRYING [7]
% 0.21/0.53 TRYING [6]
% 0.21/0.55 TRYING [8]
% 1.57/0.58 % (27557)First to succeed.
% 1.72/0.58 % (27557)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (27557)------------------------------
% 1.72/0.58 % (27557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.72/0.58 % (27557)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (27557)Memory used [KB]: 3093
% 1.72/0.58 % (27557)Time elapsed: 0.214 s
% 1.72/0.58 % (27557)Instructions burned: 408 (million)
% 1.72/0.58 % (27557)------------------------------
% 1.72/0.58 % (27557)------------------------------
% 1.72/0.58 % (27550)Success in time 0.231 s
%------------------------------------------------------------------------------