TSTP Solution File: HEN008-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN008-2 : 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 : n002.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 12:10:05 EDT 2024
% Result : Unsatisfiable 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 49 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5427,plain,
$false,
inference(unit_resulting_resolution,[],[f18,f4776,f4365,f29]) ).
fof(f29,plain,
! [X2,X0,X1,X7,X5] :
( ~ sP3(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5)
| sP4(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
! [X1,X2,X5,X7] :
( ! [X0] :
( ~ sP3(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5) )
<=> ~ sP4(X7,X5,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f4365,plain,
! [X0] : sP3(b,a,X0,zero),
inference(forward_demodulation,[],[f4280,f94]) ).
fof(f94,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f54,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(f54,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(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f4280,plain,
! [X0] : sP3(b,a,X0,divide(zero,X0)),
inference(unit_resulting_resolution,[],[f31,f8,f27]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP3(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f27_D]) ).
fof(f27_D,plain,
! [X7,X2,X0,X1] :
( ! [X3] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3) )
<=> ~ sP3(X1,X0,X2,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f31,plain,
quotient(a,b,zero),
inference(unit_resulting_resolution,[],[f17,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(f17,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
fof(f4776,plain,
~ sP4(zero,aQc,c,b),
inference(unit_resulting_resolution,[],[f19,f3777,f30]) ).
fof(f30,plain,
! [X2,X1,X7,X4,X5] :
( ~ sP4(X7,X5,X2,X1)
| ~ sP2(X5,X4,X7)
| ~ quotient(X1,X2,X4) ),
inference(general_splitting,[],[f28,f29_D]) ).
fof(f28,plain,
! [X2,X0,X1,X7,X4,X5] :
( ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ sP2(X5,X4,X7)
| ~ sP3(X1,X0,X2,X7) ),
inference(general_splitting,[],[f26,f27_D]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ sP2(X5,X4,X7) ),
inference(general_splitting,[],[f4,f25_D]) ).
fof(f25,plain,
! [X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| sP2(X5,X4,X7) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X7,X4,X5] :
( ! [X6] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7) )
<=> ~ sP2(X5,X4,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
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(f3777,plain,
sP2(aQc,bQc,zero),
inference(unit_resulting_resolution,[],[f8,f3648,f25]) ).
fof(f3648,plain,
~ less_equal(divide(aQc,bQc),zero),
inference(unit_resulting_resolution,[],[f1785,f1421]) ).
fof(f1421,plain,
! [X0,X1] :
( ~ less_equal(X0,zero)
| sP0(X1,X1,X0) ),
inference(resolution,[],[f21,f13]) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f21,plain,
! [X2,X10,X0,X9] :
( ~ quotient(X0,X2,X10)
| ~ less_equal(X9,X2)
| sP0(X10,X0,X9) ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
! [X9,X0,X10] :
( ! [X2] :
( ~ quotient(X0,X2,X10)
| ~ less_equal(X9,X2) )
<=> ~ sP0(X10,X0,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1785,plain,
! [X0] : ~ sP0(aQc,X0,divide(X0,bQc)),
inference(unit_resulting_resolution,[],[f20,f8,f22]) ).
fof(f22,plain,
! [X10,X0,X1,X9] :
( ~ sP0(X10,X0,X9)
| ~ quotient(X0,X1,X9)
| less_equal(X10,X1) ),
inference(general_splitting,[],[f15,f21_D]) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ less_equal(X9,X2)
| less_equal(X10,X1)
| ~ quotient(X0,X2,X10)
| ~ quotient(X0,X1,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f20,axiom,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
fof(f19,axiom,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
fof(f18,axiom,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HEN008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 22:21:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (26311)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (26318)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)
% 0.13/0.35 % (26314)WARNING: value z3 for option sas not known
% 0.13/0.35 % (26313)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (26312)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (26315)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (26314)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)
% 0.13/0.35 % (26317)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)
% 0.13/0.35 % (26316)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [5]
% 0.19/0.38 TRYING [4]
% 0.19/0.39 % (26318)First to succeed.
% 0.19/0.39 % (26318)Refutation found. Thanks to Tanya!
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39 % (26318)------------------------------
% 0.19/0.39 % (26318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.39 % (26318)Termination reason: Refutation
% 0.19/0.39
% 0.19/0.39 % (26318)Memory used [KB]: 1899
% 0.19/0.39 % (26318)Time elapsed: 0.042 s
% 0.19/0.39 % (26318)Instructions burned: 135 (million)
% 0.19/0.39 % (26318)------------------------------
% 0.19/0.39 % (26318)------------------------------
% 0.19/0.39 % (26311)Success in time 0.05 s
%------------------------------------------------------------------------------