TSTP Solution File: KLE001+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE001+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 07:16:45 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 26 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 3 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f28,f31]) ).
fof(f31,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f22,plain,
~ leq(addition(sK0,sK2),addition(sK0,sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ~ leq(addition(sK0,sK2),addition(sK0,sK2))
& leq(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2] :
( ~ leq(addition(X0,X2),addition(X0,X2))
& leq(X0,X1) )
=> ( ~ leq(addition(sK0,sK2),addition(sK0,sK2))
& leq(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ leq(addition(X0,X2),addition(X0,X2))
& leq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( leq(X0,X1)
=> leq(addition(X0,X2),addition(X0,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X3,X4,X5] :
( leq(X3,X4)
=> leq(addition(X3,X5),addition(X3,X5)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X3,X4,X5] :
( leq(X3,X4)
=> leq(addition(X3,X5),addition(X3,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 21:23:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12562)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12565)WARNING: value z3 for option sas not known
% 0.14/0.36 % (12566)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (12565)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)
% 0.14/0.37 % (12568)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)
% 0.14/0.37 % (12567)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)
% 0.14/0.37 % (12564)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (12569)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (12568)Also succeeded, but the first one will report.
% 0.14/0.37 % (12569)First to succeed.
% 0.14/0.37 % (12563)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (12569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12562"
% 0.14/0.37 % (12565)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (12569)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (12569)------------------------------
% 0.14/0.37 % (12569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12569)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (12569)Memory used [KB]: 764
% 0.14/0.37 % (12569)Time elapsed: 0.003 s
% 0.14/0.37 % (12569)Instructions burned: 4 (million)
% 0.14/0.37 % (12562)Success in time 0.018 s
%------------------------------------------------------------------------------