TSTP Solution File: KRS003_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS003_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Mon May 20 23:21:38 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 57 ( 11 unt; 15 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 35 ~; 28 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 14 ( 12 >; 2 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
unreal: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(func_def_0,type,
u1r1: unreal > real ).
tff(func_def_1,type,
u1r2: unreal > real ).
tff(func_def_2,type,
u3r1: unreal > real ).
tff(func_def_3,type,
u3r2: unreal > real ).
tff(func_def_4,type,
exist: unreal ).
tff(pred_def_1,type,
f: unreal > $o ).
tff(pred_def_2,type,
d: unreal > $o ).
tff(pred_def_3,type,
e: unreal > $o ).
tff(pred_def_4,type,
s1most: unreal > $o ).
tff(pred_def_5,type,
s: ( unreal * real ) > $o ).
tff(pred_def_6,type,
c: unreal > $o ).
tff(pred_def_7,type,
equalish: ( real * real ) > $o ).
tff(pred_def_8,type,
s2least: unreal > $o ).
tff(f73,plain,
$false,
inference(subsumption_resolution,[],[f72,f52]) ).
tff(f52,plain,
s2least(exist),
inference(resolution,[],[f40,f50]) ).
tff(f50,plain,
c(exist),
inference(resolution,[],[f38,f34]) ).
tff(f34,plain,
e(exist),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( f(exist)
& e(exist) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,negated_conjecture,
~ ( ~ f(exist)
| ~ e(exist) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
( ~ f(exist)
| ~ e(exist) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1__clause_2) ).
tff(f38,plain,
! [X0: unreal] :
( ~ e(X0)
| c(X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: unreal] :
( c(X0)
| ~ e(X0) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,axiom,
! [X0: unreal] :
( e(X0)
=> c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
tff(f40,plain,
! [X0: unreal] :
( ~ c(X0)
| s2least(X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: unreal] :
( s2least(X0)
| ~ c(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: unreal] :
( c(X0)
=> s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
tff(f72,plain,
~ s2least(exist),
inference(resolution,[],[f65,f47]) ).
tff(f47,plain,
! [X0: unreal] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: unreal] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: unreal] :
~ ( equalish(u1r2(X0),u1r1(X0))
& s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
tff(f65,plain,
equalish(u1r2(exist),u1r1(exist)),
inference(resolution,[],[f62,f57]) ).
tff(f57,plain,
s(exist,u1r2(exist)),
inference(resolution,[],[f44,f52]) ).
tff(f44,plain,
! [X0: unreal] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: unreal] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0: unreal] :
( s2least(X0)
=> s(X0,u1r2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
tff(f62,plain,
! [X0: real] :
( ~ s(exist,X0)
| equalish(X0,u1r1(exist)) ),
inference(subsumption_resolution,[],[f60,f53]) ).
tff(f53,plain,
s1most(exist),
inference(resolution,[],[f41,f51]) ).
tff(f51,plain,
d(exist),
inference(resolution,[],[f39,f35]) ).
tff(f35,plain,
f(exist),
inference(cnf_transformation,[],[f19]) ).
tff(f39,plain,
! [X0: unreal] :
( ~ f(X0)
| d(X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: unreal] :
( d(X0)
| ~ f(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0: unreal] :
( f(X0)
=> d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
tff(f41,plain,
! [X0: unreal] :
( ~ d(X0)
| s1most(X0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: unreal] :
( s1most(X0)
| ~ d(X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: unreal] :
( d(X0)
=> s1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
tff(f60,plain,
! [X0: real] :
( equalish(X0,u1r1(exist))
| ~ s(exist,X0)
| ~ s1most(exist) ),
inference(resolution,[],[f48,f56]) ).
tff(f56,plain,
s(exist,u1r1(exist)),
inference(resolution,[],[f43,f52]) ).
tff(f43,plain,
! [X0: unreal] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: unreal] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: unreal] :
( s2least(X0)
=> s(X0,u1r1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
tff(f48,plain,
! [X2: unreal,X0: real,X1: real] :
( ~ s(X2,X0)
| equalish(X1,X0)
| ~ s(X2,X1)
| ~ s1most(X2) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: real,X1: real,X2: unreal] :
( equalish(X1,X0)
| ~ s(X2,X0)
| ~ s(X2,X1)
| ~ s1most(X2) ),
inference(flattening,[],[f30]) ).
tff(f30,plain,
! [X0: real,X1: real,X2: unreal] :
( equalish(X1,X0)
| ~ s(X2,X0)
| ~ s(X2,X1)
| ~ s1most(X2) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: real,X1: real,X2: unreal] :
( ( s(X2,X0)
& s(X2,X1)
& s1most(X2) )
=> equalish(X1,X0) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X1: real,X2: real,X0: unreal] :
( ( s(X0,X1)
& s(X0,X2)
& s1most(X0) )
=> equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS003_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:24:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (21207)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21214)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (21211)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (21212)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (21213)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (21208)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (21209)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (21210)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,1]
% 0.14/0.38 Detected maximum model sizes of [max,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 % (21212)First to succeed.
% 0.14/0.38 % (21210)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [4,1]
% 0.14/0.38 TRYING [4,1]
% 0.14/0.38 % (21213)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4,1]
% 0.14/0.38 TRYING [4,1]
% 0.14/0.38 TRYING [5,1]
% 0.14/0.38 TRYING [5,1]
% 0.14/0.38 % (21212)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21207"
% 0.14/0.38 TRYING [5,1]
% 0.14/0.38 TRYING [5,1]
% 0.14/0.38 TRYING [6,1]
% 0.14/0.38 TRYING [6,1]
% 0.14/0.38 TRYING [6,1]
% 0.14/0.38 TRYING [6,1]
% 0.14/0.38 TRYING [7,1]
% 0.14/0.38 % (21212)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (21212)------------------------------
% 0.14/0.38 % (21212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (21212)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (21212)Memory used [KB]: 752
% 0.14/0.38 % (21212)Time elapsed: 0.004 s
% 0.14/0.38 % (21212)Instructions burned: 3 (million)
% 0.14/0.38 % (21207)Success in time 0.02 s
%------------------------------------------------------------------------------