TSTP Solution File: NUM839+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 14:37:49 EDT 2024
% Result : Theorem 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 59 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1549,plain,
$false,
inference(resolution,[],[f1330,f151]) ).
fof(f151,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X26,X27] :
( ~ greater(X26,X27)
| X26 != X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f1330,plain,
greater(vplus(vd328,vd330),vplus(vd328,vd330)),
inference(backward_demodulation,[],[f107,f1326]) ).
fof(f1326,plain,
vd328 = vd329,
inference(resolution,[],[f1300,f444]) ).
fof(f444,plain,
( greater(vd329,vd328)
| vd328 = vd329 ),
inference(resolution,[],[f123,f181]) ).
fof(f181,plain,
~ less(vd329,vd328),
inference(resolution,[],[f131,f106]) ).
fof(f106,plain,
~ greater(vd328,vd329),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
~ greater(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vd328,vd329),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof(f131,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X22,X23] :
( less(X22,X23)
=> greater(X23,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f123,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X26,X27] :
( less(X26,X27)
| greater(X26,X27)
| X26 = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f1300,plain,
~ greater(vd329,vd328),
inference(resolution,[],[f145,f292]) ).
fof(f292,plain,
~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f197,f130]) ).
fof(f130,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X24,X25] :
( greater(X24,X25)
=> less(X25,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f197,plain,
~ less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(resolution,[],[f107,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X26,X27] :
( ~ less(X26,X27)
| ~ greater(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f145,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f107,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n016.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:10:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7310)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7314)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (7313)WARNING: value z3 for option sas not known
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (7311)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (7312)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (7313)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)
% 0.13/0.36 % (7315)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)
% 0.13/0.36 % (7316)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)
% 0.13/0.36 % (7317)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)
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [6]
% 0.13/0.41 % (7316)First to succeed.
% 0.13/0.41 % (7316)Refutation found. Thanks to Tanya!
% 0.13/0.41 % SZS status Theorem for theBenchmark
% 0.13/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.41 % (7316)------------------------------
% 0.13/0.41 % (7316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.41 % (7316)Termination reason: Refutation
% 0.13/0.41
% 0.13/0.41 % (7316)Memory used [KB]: 1294
% 0.13/0.41 % (7316)Time elapsed: 0.047 s
% 0.13/0.41 % (7316)Instructions burned: 74 (million)
% 0.13/0.41 % (7316)------------------------------
% 0.13/0.41 % (7316)------------------------------
% 0.13/0.41 % (7310)Success in time 0.063 s
%------------------------------------------------------------------------------