TSTP Solution File: NUM670_8 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 May 21 02:12:45 EDT 2024
% Result : Theorem 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 19 unt; 6 typ; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 23 !; 2 ?; 25 :)
% 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,
pl: ( nat * nat ) > nat ).
tff(func_def_6,type,
sK0: nat ).
tff(f93,plain,
$false,
inference(trivial_inequality_removal,[],[f91]) ).
tff(f91,plain,
pl(x,z) != pl(x,z),
inference(superposition,[],[f83,f71]) ).
tff(f71,plain,
! [X0: nat] : ( pl(y,pl(sK0,X0)) = pl(x,X0) ),
inference(superposition,[],[f23,f20]) ).
tff(f20,plain,
x = pl(y,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
x = pl(y,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).
tff(f17,plain,
( ? [X0: nat] : ( x = pl(y,X0) )
=> ( x = pl(y,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: nat] : ( x = pl(y,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ! [X0: nat] : ( x != pl(y,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f23,plain,
! [X2: nat,X0: nat,X1: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: nat,X3: nat,X4: nat] : ( pl(pl(X2,X3),X4) = pl(X2,pl(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz5) ).
tff(f83,plain,
! [X0: nat] : ( pl(x,z) != pl(y,pl(X0,z)) ),
inference(superposition,[],[f77,f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: nat,X3: nat] : ( pl(X2,X3) = pl(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
tff(f77,plain,
! [X0: nat] : ( pl(x,z) != pl(y,pl(z,X0)) ),
inference(superposition,[],[f19,f23]) ).
tff(f19,plain,
! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 06:09:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (18179)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (18182)WARNING: value z3 for option sas not known
% 0.16/0.38 % (18183)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (18181)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (18182)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)
% 0.16/0.38 % (18184)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)
% 0.16/0.38 % (18185)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)
% 0.16/0.38 % (18186)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)
% 0.16/0.38 % (18180)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected maximum model sizes of [max,2]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [1,2]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3,2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 % (18185)Also succeeded, but the first one will report.
% 0.16/0.38 % (18186)First to succeed.
% 0.16/0.38 % (18186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18179"
% 0.16/0.38 % (18182)Also succeeded, but the first one will report.
% 0.16/0.38 % (18186)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Theorem for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (18186)------------------------------
% 0.16/0.38 % (18186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (18186)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (18186)Memory used [KB]: 760
% 0.16/0.38 % (18186)Time elapsed: 0.005 s
% 0.16/0.38 % (18186)Instructions burned: 6 (million)
% 0.16/0.38 % (18179)Success in time 0.021 s
%------------------------------------------------------------------------------