TSTP Solution File: HEN006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN006-1 : 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 : n021.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 : Sun May 5 06:11:53 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 30 unt; 0 def)
% Number of atoms : 78 ( 7 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 74 ( 41 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4176,plain,
$false,
inference(subsumption_resolution,[],[f4151,f26]) ).
fof(f26,plain,
~ quotient(xQz,y,zero),
inference(unit_resulting_resolution,[],[f13,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(f13,axiom,
~ less_equal(xQz,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xQzLEy) ).
fof(f4151,plain,
quotient(xQz,y,zero),
inference(superposition,[],[f8,f4121]) ).
fof(f4121,plain,
zero = divide(xQz,y),
inference(unit_resulting_resolution,[],[f5,f4078,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f4078,plain,
less_equal(divide(xQz,y),zero),
inference(unit_resulting_resolution,[],[f4051,f2]) ).
fof(f4051,plain,
quotient(divide(xQz,y),zero,zero),
inference(superposition,[],[f8,f4041]) ).
fof(f4041,plain,
zero = divide(divide(xQz,y),zero),
inference(unit_resulting_resolution,[],[f5,f4037,f6]) ).
fof(f4037,plain,
less_equal(divide(divide(xQz,y),zero),zero),
inference(unit_resulting_resolution,[],[f8,f4021,f14]) ).
fof(f14,plain,
! [X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| sP0(X5,X4,X7) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_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(f4021,plain,
~ sP0(divide(xQz,y),zero,zero),
inference(unit_resulting_resolution,[],[f59,f813,f19]) ).
fof(f19,plain,
! [X2,X1,X7,X4,X5] :
( ~ sP2(X7,X5,X2,X1)
| ~ sP0(X5,X4,X7)
| ~ quotient(X1,X2,X4) ),
inference(general_splitting,[],[f17,f18_D]) ).
fof(f18,plain,
! [X2,X0,X1,X7,X5] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5)
| sP2(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_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(f17,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,[],[f15,f16_D]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP1(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_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(f15,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,f14_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/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f813,plain,
! [X0] : sP2(zero,divide(xQz,X0),X0,divide(y,z)),
inference(unit_resulting_resolution,[],[f8,f639,f18]) ).
fof(f639,plain,
! [X0] : sP1(divide(y,z),xQz,X0,zero),
inference(forward_demodulation,[],[f633,f68]) ).
fof(f68,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f35,f6]) ).
fof(f35,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/sandbox/benchmark/theBenchmark.p',divisor_existence) ).
fof(f633,plain,
! [X0] : sP1(divide(y,z),xQz,X0,divide(zero,X0)),
inference(superposition,[],[f245,f575]) ).
fof(f575,plain,
zero = divide(xQz,divide(y,z)),
inference(unit_resulting_resolution,[],[f5,f489,f6]) ).
fof(f489,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(unit_resulting_resolution,[],[f8,f460,f14]) ).
fof(f460,plain,
~ sP0(xQz,divide(y,z),zero),
inference(unit_resulting_resolution,[],[f8,f454,f19]) ).
fof(f454,plain,
sP2(zero,xQz,z,y),
inference(forward_demodulation,[],[f417,f111]) ).
fof(f111,plain,
zero = divide(xQy,z),
inference(unit_resulting_resolution,[],[f8,f20,f9]) ).
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(f20,plain,
quotient(xQy,z,zero),
inference(unit_resulting_resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f11,axiom,
less_equal(xQy,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz) ).
fof(f417,plain,
sP2(divide(xQy,z),xQz,z,y),
inference(unit_resulting_resolution,[],[f12,f249,f18]) ).
fof(f249,plain,
! [X0] : sP1(y,x,X0,divide(xQy,X0)),
inference(unit_resulting_resolution,[],[f10,f8,f16]) ).
fof(f10,axiom,
quotient(x,y,xQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQy) ).
fof(f12,axiom,
quotient(x,z,xQz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQz) ).
fof(f245,plain,
! [X2,X0,X1] : sP1(X0,X1,X2,divide(divide(X1,X0),X2)),
inference(unit_resulting_resolution,[],[f8,f8,f16]) ).
fof(f59,plain,
! [X0,X1] : quotient(divide(X0,X1),X0,zero),
inference(unit_resulting_resolution,[],[f35,f1]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 12:52:43 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.36 % (21926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (21930)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 % (21929)WARNING: value z3 for option sas not known
% 0.20/0.38 % (21928)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (21927)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (21929)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)
% 0.20/0.38 % (21931)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)
% 0.20/0.38 % (21932)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)
% 0.20/0.38 % (21933)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)
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [6]
% 0.20/0.40 TRYING [4]
% 0.20/0.43 TRYING [7]
% 0.20/0.43 % (21933)First to succeed.
% 0.20/0.44 % (21933)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21926"
% 0.20/0.44 % (21933)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (21933)------------------------------
% 0.20/0.44 % (21933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (21933)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (21933)Memory used [KB]: 1328
% 0.20/0.44 % (21933)Time elapsed: 0.062 s
% 0.20/0.44 % (21933)Instructions burned: 94 (million)
% 0.20/0.44 % (21926)Success in time 0.079 s
%------------------------------------------------------------------------------