TSTP Solution File: NUM713_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM713_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 : n026.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 14:37:21 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 18 unt; 7 typ; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 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 : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% 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_4,type,
ts: ( nat * nat ) > nat ).
tff(func_def_7,type,
sK0: nat ).
tff(f78,plain,
$false,
inference(subsumption_resolution,[],[f77,f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: nat,X3: nat] : ( ts(X2,X3) = ts(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).
tff(f77,plain,
ts(x,z) != ts(z,x),
inference(superposition,[],[f76,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/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f76,plain,
! [X0: nat] : ( ts(x,z) != ts(z,pl(y,X0)) ),
inference(superposition,[],[f19,f67]) ).
tff(f67,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X1,X0),ts(X0,X2)) ),
inference(superposition,[],[f23,f22]) ).
tff(f23,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: nat,X3: nat,X4: nat] : ( ts(X2,pl(X3,X4)) = pl(ts(X2,X3),ts(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz30) ).
tff(f19,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz32a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM713_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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:50:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (29769)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29773)WARNING: value z3 for option sas not known
% 0.14/0.37 % (29774)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (29771)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (29775)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)
% 0.14/0.37 % (29776)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)
% 0.14/0.37 % (29777)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)
% 0.14/0.37 % (29773)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)
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [max,2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 % (29777)First to succeed.
% 0.14/0.37 % (29776)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [3,2]
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [max,2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 % (29773)Also succeeded, but the first one will report.
% 0.14/0.37 % (29777)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (29777)------------------------------
% 0.14/0.37 % (29777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (29777)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (29777)Memory used [KB]: 759
% 0.14/0.37 % (29777)Time elapsed: 0.005 s
% 0.14/0.37 % (29777)Instructions burned: 5 (million)
% 0.14/0.37 % (29777)------------------------------
% 0.14/0.37 % (29777)------------------------------
% 0.14/0.37 % (29769)Success in time 0.011 s
%------------------------------------------------------------------------------