TSTP Solution File: SWV151+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : Sun May 5 10:45:41 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 66 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 24 ~; 13 |; 15 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 26 ( 23 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8924,plain,
$false,
inference(subsumption_resolution,[],[f8914,f621]) ).
fof(f621,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[],[f599,f275]) ).
fof(f275,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f599,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[],[f330,f280]) ).
fof(f280,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f330,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f8914,plain,
leq(n0,tptp_minus_1),
inference(superposition,[],[f250,f8912]) ).
fof(f8912,plain,
n0 = sK13,
inference(subsumption_resolution,[],[f8853,f528]) ).
fof(f528,plain,
leq(sK13,n0),
inference(resolution,[],[f501,f250]) ).
fof(f501,plain,
! [X0] :
( ~ leq(X0,tptp_minus_1)
| leq(X0,n0) ),
inference(superposition,[],[f305,f275]) ).
fof(f305,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f8853,plain,
( ~ leq(sK13,n0)
| n0 = sK13 ),
inference(resolution,[],[f303,f249]) ).
fof(f249,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( n1 != sum(n0,n4,a_select3(q,sK13,tptp_sum_index))
& leq(sK13,tptp_minus_1)
& leq(n0,sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f110,f185]) ).
fof(f185,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) )
=> ( n1 != sum(n0,n4,a_select3(q,sK13,tptp_sum_index))
& leq(sK13,tptp_minus_1)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ! [X0] :
( ( leq(X0,tptp_minus_1)
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0001) ).
fof(f303,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f250,plain,
leq(sK13,tptp_minus_1),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:07:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16871)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16874)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16872)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16875)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16873)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16874)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)
% 0.15/0.38 % (16876)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)
% 0.15/0.38 % (16877)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)
% 0.15/0.38 % (16878)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)
% 0.21/0.50 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.51 % (16874)First to succeed.
% 0.21/0.51 % (16874)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16871"
% 0.21/0.51 % (16874)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (16874)------------------------------
% 0.21/0.51 % (16874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51 % (16874)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (16874)Memory used [KB]: 2317
% 0.21/0.51 % (16874)Time elapsed: 0.130 s
% 0.21/0.51 % (16874)Instructions burned: 234 (million)
% 0.21/0.51 % (16871)Success in time 0.145 s
%------------------------------------------------------------------------------