TSTP Solution File: NUM294+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM294+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 : 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 08:18:41 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 23 ~; 16 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1496,plain,
$false,
inference(resolution,[],[f1476,f527]) ).
fof(f527,plain,
rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn29) ).
fof(f1476,plain,
! [X0,X1] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))),
inference(resolution,[],[f1448,f692]) ).
fof(f692,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn12) ).
fof(f1448,plain,
! [X2,X0,X1] :
( ~ rdn_translate(n12,rdn_pos(rdn(rdnn(X0),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n2)))) ),
inference(resolution,[],[f1344,f493]) ).
fof(f493,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f267]) ).
fof(f267,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f1344,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_positive_less(X4,X2)
| ~ rdn_translate(n12,rdn_pos(rdn(rdnn(X3),X4)))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2))) ),
inference(resolution,[],[f1303,f863]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f440]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f408]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(rectify,[],[f276]) ).
fof(f276,axiom,
! [X3,X4,X5,X6] :
( rdn_positive_less(X4,X6)
=> rdn_positive_less(rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f1303,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,X1)
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_translate(n12,rdn_pos(X0)) ),
inference(resolution,[],[f866,f475]) ).
fof(f475,plain,
! [X0] : ~ less(n12,X0),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] : ~ less(n12,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : less(n12,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : less(n12,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n12_less_something) ).
fof(f866,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f446]) ).
fof(f446,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f411]) ).
fof(f411,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X0,X1,X9,X10] :
( ( rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM294+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:26:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31827)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (31833)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)
% 0.13/0.38 % (31830)WARNING: value z3 for option sas not known
% 0.13/0.38 % (31831)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (31829)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (31830)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)
% 0.13/0.38 % (31834)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)
% 0.13/0.38 % (31832)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)
% 0.13/0.38 % (31828)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.43 % (31833)First to succeed.
% 0.18/0.43 % (31833)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31827"
% 0.18/0.43 % (31833)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43 % (31833)------------------------------
% 0.18/0.43 % (31833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.43 % (31833)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (31833)Memory used [KB]: 2011
% 0.18/0.43 % (31833)Time elapsed: 0.052 s
% 0.18/0.43 % (31833)Instructions burned: 105 (million)
% 0.18/0.43 % (31827)Success in time 0.082 s
%------------------------------------------------------------------------------