TSTP Solution File: HEN005-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN005-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 06:11:52 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 62 ( 3 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 67 ( 37 ~; 27 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f475,plain,
$false,
inference(subsumption_resolution,[],[f463,f27]) ).
fof(f27,plain,
~ quotient(x,z,zero),
inference(unit_resulting_resolution,[],[f12,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(f12,axiom,
~ less_equal(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_less_equal) ).
fof(f463,plain,
quotient(x,z,zero),
inference(superposition,[],[f8,f451]) ).
fof(f451,plain,
zero = divide(x,z),
inference(unit_resulting_resolution,[],[f5,f420,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(f420,plain,
less_equal(divide(x,z),zero),
inference(unit_resulting_resolution,[],[f404,f2]) ).
fof(f404,plain,
quotient(divide(x,z),zero,zero),
inference(superposition,[],[f8,f374]) ).
fof(f374,plain,
zero = divide(divide(x,z),zero),
inference(unit_resulting_resolution,[],[f5,f334,f6]) ).
fof(f334,plain,
less_equal(divide(divide(x,z),zero),zero),
inference(unit_resulting_resolution,[],[f8,f326,f13]) ).
fof(f13,plain,
! [X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| sP0(X5,X4,X7) ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_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(f326,plain,
~ sP0(divide(x,z),zero,zero),
inference(unit_resulting_resolution,[],[f22,f263,f18]) ).
fof(f18,plain,
! [X2,X1,X7,X4,X5] :
( ~ sP2(X7,X5,X2,X1)
| ~ sP0(X5,X4,X7)
| ~ quotient(X1,X2,X4) ),
inference(general_splitting,[],[f16,f17_D]) ).
fof(f17,plain,
! [X2,X0,X1,X7,X5] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5)
| sP2(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_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(f16,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,[],[f14,f15_D]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP1(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_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(f14,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,f13_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(f263,plain,
! [X0] : sP2(zero,divide(x,X0),X0,y),
inference(unit_resulting_resolution,[],[f8,f192,f17]) ).
fof(f192,plain,
! [X0] : sP1(y,x,X0,zero),
inference(unit_resulting_resolution,[],[f21,f20,f15]) ).
fof(f20,plain,
! [X0] : quotient(zero,X0,zero),
inference(unit_resulting_resolution,[],[f5,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(f21,plain,
quotient(x,y,zero),
inference(unit_resulting_resolution,[],[f10,f1]) ).
fof(f10,axiom,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
fof(f22,plain,
quotient(y,z,zero),
inference(unit_resulting_resolution,[],[f11,f1]) ).
fof(f11,axiom,
less_equal(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yLEz) ).
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
% 0.08/0.13 % Problem : HEN005-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:08:21 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (9205)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (9208)WARNING: value z3 for option sas not known
% 0.16/0.38 % (9208)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)
% 0.16/0.38 % (9207)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (9211)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)
% 0.16/0.38 % (9210)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)
% 0.16/0.38 % (9212)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)
% 0.16/0.38 % (9206)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (9209)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 % (9212)First to succeed.
% 0.16/0.39 TRYING [3]
% 0.16/0.39 % (9212)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9205"
% 0.16/0.39 % (9212)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (9212)------------------------------
% 0.16/0.39 % (9212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (9212)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (9212)Memory used [KB]: 879
% 0.16/0.39 % (9212)Time elapsed: 0.011 s
% 0.16/0.39 % (9212)Instructions burned: 14 (million)
% 0.16/0.39 % (9205)Success in time 0.027 s
%------------------------------------------------------------------------------