TSTP Solution File: NUM344+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM344+1 : TPTP v8.1.2. Released v3.1.0.
% 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 08:18:49 EDT 2024
% Result : Theorem 1.73s 0.60s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 55 ~; 44 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 98 ( 94 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3184,plain,
$false,
inference(resolution,[],[f3055,f512]) ).
fof(f512,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f3055,plain,
~ rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(resolution,[],[f3054,f502]) ).
fof(f502,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(cnf_transformation,[],[f129]) ).
fof(f129,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn1) ).
fof(f3054,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(n1,rdn_pos(X1)) ),
inference(factoring,[],[f2794]) ).
fof(f2794,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(n1,rdn_pos(X2)) ),
inference(factoring,[],[f2241]) ).
fof(f2241,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(n1,rdn_pos(X3)) ),
inference(resolution,[],[f1594,f511]) ).
fof(f511,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f1594,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(n0,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X4))
| ~ rdn_translate(n1,rdn_pos(X4)) ),
inference(resolution,[],[f1374,f512]) ).
fof(f1374,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_translate(n1,rdn_pos(X0))
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(n0,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_neg(X5))
| ~ rdn_translate(n1,rdn_pos(X5)) ),
inference(resolution,[],[f1215,f857]) ).
fof(f857,plain,
! [X2,X0,X1] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f433]) ).
fof(f433,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f406]) ).
fof(f406,plain,
! [X0,X1,X2] :
( ( rdn_translate(X1,rdn_neg(X2))
& rdn_translate(X0,rdn_pos(X2)) )
=> sum(X0,X1,n0) ),
inference(rectify,[],[f291]) ).
fof(f291,axiom,
! [X12,X13,X9] :
( ( rdn_translate(X13,rdn_neg(X9))
& rdn_translate(X12,rdn_pos(X9)) )
=> sum(X12,X13,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
fof(f1215,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(n1,X0,X1)
| ~ rdn_translate(n1,rdn_pos(X2))
| ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X4))
| ~ rdn_translate(X1,rdn_pos(X5)) ),
inference(resolution,[],[f870,f925]) ).
fof(f925,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,n1,X0)
| ~ rdn_translate(X2,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f864,f475]) ).
fof(f475,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ sum(X0,n1,X1) ),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ sum(X0,n1,X1) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0,X1] :
( less(X0,X1)
& sum(X0,n1,X1) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0,X1] :
( less(X0,X1)
& sum(X0,n1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exist_bigger_plus_one) ).
fof(f864,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(flattening,[],[f441]) ).
fof(f441,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1,X2,X3] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f282]) ).
fof(f282,axiom,
! [X0,X1,X9,X10] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f870,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(cnf_transformation,[],[f454]) ).
fof(f454,plain,
! [X0,X1,X2,X3,X4] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(flattening,[],[f453]) ).
fof(f453,plain,
! [X0,X1,X2,X3,X4] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(ennf_transformation,[],[f415]) ).
fof(f415,plain,
! [X0,X1,X2,X3,X4] :
( ( sum(X1,X0,X2)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_neg(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f292]) ).
fof(f292,axiom,
! [X0,X1,X2,X9,X10] :
( ( sum(X1,X0,X2)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM344+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.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 14:44:47 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22314)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (22317)WARNING: value z3 for option sas not known
% 0.15/0.39 % (22318)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (22316)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (22317)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)
% 0.15/0.39 % (22319)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)
% 0.15/0.39 % (22315)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (22321)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)
% 0.15/0.39 % (22320)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)
% 0.22/0.43 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.47 TRYING [1]
% 0.22/0.48 TRYING [2]
% 0.22/0.48 TRYING [3]
% 0.22/0.56 TRYING [3]
% 1.73/0.60 % (22320)First to succeed.
% 1.73/0.60 % (22320)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22314"
% 1.73/0.60 % (22320)Refutation found. Thanks to Tanya!
% 1.73/0.60 % SZS status Theorem for theBenchmark
% 1.73/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60 % (22320)------------------------------
% 1.73/0.60 % (22320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/0.60 % (22320)Termination reason: Refutation
% 1.73/0.60
% 1.73/0.60 % (22320)Memory used [KB]: 2784
% 1.73/0.60 % (22320)Time elapsed: 0.211 s
% 1.73/0.60 % (22320)Instructions burned: 683 (million)
% 1.73/0.60 % (22314)Success in time 0.232 s
%------------------------------------------------------------------------------