TSTP Solution File: NUM688_8 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM688_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 : n013.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 14:37:13 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 51 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
u: nat ).
tff(func_def_4,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f74,plain,
$false,
inference(resolution,[],[f72,f23]) ).
tff(f23,plain,
more(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
more(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f72,plain,
~ more(x,y),
inference(resolution,[],[f71,f29]) ).
tff(f29,plain,
! [X2: nat,X3: nat,X1: nat] :
( more(pl(X2,X1),pl(X3,X1))
| ~ more(X2,X3) ),
inference(equality_resolution,[],[f26]) ).
tff(f26,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( X0 = X1 )
=> ( more(X2,X3)
=> more(pl(X2,X0),pl(X3,X1)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X2: nat,X3: nat,X4: nat] :
( ( X1 = X2 )
=> ( more(X3,X4)
=> more(pl(X3,X1),pl(X4,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19h) ).
tff(f71,plain,
~ more(pl(x,z),pl(y,z)),
inference(backward_demodulation,[],[f22,f69]) ).
tff(f69,plain,
z = u,
inference(resolution,[],[f68,f24]) ).
tff(f24,plain,
( more(z,u)
| ( z = u ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( z = u )
| more(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ more(z,u)
=> ( z = u ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
tff(f68,plain,
~ more(z,u),
inference(resolution,[],[f67,f23]) ).
tff(f67,plain,
( ~ more(x,y)
| ~ more(z,u) ),
inference(resolution,[],[f27,f22]) ).
tff(f27,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(X0,X1)
=> ( more(X2,X3)
=> more(pl(X0,X2),pl(X1,X3)) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: nat,X2: nat,X3: nat,X4: nat] :
( more(X1,X2)
=> ( more(X3,X4)
=> more(pl(X1,X3),pl(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz21) ).
tff(f22,plain,
~ more(pl(x,z),pl(y,u)),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
~ more(pl(x,z),pl(y,u)),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ more(pl(x,z),pl(y,u)),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
more(pl(x,z),pl(y,u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz22b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM688_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.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 : Mon Apr 29 23:53:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16379)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16381)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16382)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16384)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)
% 0.15/0.38 % (16386)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)
% 0.15/0.38 % (16383)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16385)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)
% 0.15/0.38 % (16382)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)
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 % (16385)First to succeed.
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 % (16384)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [3,2]
% 0.21/0.38 % (16380)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (16386)Also succeeded, but the first one will report.
% 0.21/0.38 % (16385)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (16385)------------------------------
% 0.21/0.38 % (16385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (16385)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (16385)Memory used [KB]: 765
% 0.21/0.38 % (16385)Time elapsed: 0.004 s
% 0.21/0.38 % (16385)Instructions burned: 5 (million)
% 0.21/0.38 % (16385)------------------------------
% 0.21/0.38 % (16385)------------------------------
% 0.21/0.38 % (16379)Success in time 0.018 s
%------------------------------------------------------------------------------