TSTP Solution File: NUM765_8 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM765_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 08:42:17 EDT 2024
% Result : Theorem 0.10s 0.31s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 42 ~; 36 |; 5 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
u: frac ).
tff(func_def_4,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f110,plain,
$false,
inference(subsumption_resolution,[],[f107,f27]) ).
tff(f27,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ eq(pf(x,z),pf(y,u))
& ~ moref(pf(x,z),pf(y,u)) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz66) ).
tff(f107,plain,
moref(pf(x,z),pf(y,u)),
inference(resolution,[],[f103,f80]) ).
tff(f80,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| moref(pf(X0,z),pf(X1,u)) ),
inference(subsumption_resolution,[],[f78,f33]) ).
tff(f33,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ moref(X2,X3)
| moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,X3)
& ~ moref(X2,X3) )
| ~ moref(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,X3)
& ~ moref(X2,X3) )
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( ( ~ moref(X2,X3)
=> eq(X2,X3) )
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( ( ~ moref(X3,X4)
=> eq(X3,X4) )
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz65b) ).
tff(f78,plain,
! [X0: frac,X1: frac] :
( moref(pf(X0,z),pf(X1,u))
| ~ moref(X0,X1)
| moref(z,u) ),
inference(resolution,[],[f34,f30]) ).
tff(f30,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( eq(z,u)
| moref(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X2,X3)
| moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f103,plain,
moref(x,y),
inference(subsumption_resolution,[],[f99,f27]) ).
tff(f99,plain,
( moref(x,y)
| moref(pf(x,z),pf(y,u)) ),
inference(resolution,[],[f97,f83]) ).
tff(f83,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| moref(pf(x,X0),pf(y,X1)) ),
inference(subsumption_resolution,[],[f81,f33]) ).
tff(f81,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| moref(pf(x,X0),pf(y,X1))
| moref(x,y) ),
inference(resolution,[],[f36,f29]) ).
tff(f29,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f36,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ moref(X2,X3)
| moref(pf(X0,X2),pf(X1,X3)) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ~ moref(X0,X1)
=> eq(X0,X1) )
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( ( ~ moref(X1,X2)
=> eq(X1,X2) )
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz65a) ).
tff(f97,plain,
( moref(z,u)
| moref(x,y) ),
inference(subsumption_resolution,[],[f93,f28]) ).
tff(f28,plain,
~ eq(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f17]) ).
tff(f93,plain,
( eq(pf(x,z),pf(y,u))
| moref(z,u)
| moref(x,y) ),
inference(resolution,[],[f76,f29]) ).
tff(f76,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| eq(pf(X0,z),pf(X1,u))
| moref(z,u) ),
inference(resolution,[],[f32,f30]) ).
tff(f32,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X2,X3)
| eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( eq(X2,X3)
=> eq(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( eq(X1,X2)
=> ( eq(X3,X4)
=> eq(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz56) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : NUM765_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 15:27:07 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % (8325)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30 % (8329)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.30 % (8330)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.30 Detected minimum model sizes of [1,1]
% 0.10/0.30 Detected maximum model sizes of [max,2]
% 0.10/0.30 TRYING [1,1]
% 0.10/0.30 TRYING [1,2]
% 0.10/0.30 TRYING [2,2]
% 0.10/0.31 % (8330)First to succeed.
% 0.10/0.31 % (8330)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8325"
% 0.10/0.31 TRYING [3,2]
% 0.10/0.31 % (8330)Refutation found. Thanks to Tanya!
% 0.10/0.31 % SZS status Theorem for theBenchmark
% 0.10/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.31 % (8330)------------------------------
% 0.10/0.31 % (8330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.31 % (8330)Termination reason: Refutation
% 0.10/0.31
% 0.10/0.31 % (8330)Memory used [KB]: 757
% 0.10/0.31 % (8330)Time elapsed: 0.003 s
% 0.10/0.31 % (8330)Instructions burned: 6 (million)
% 0.10/0.31 % (8325)Success in time 0.013 s
%------------------------------------------------------------------------------