TSTP Solution File: SWV858-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% 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 11:11:58 EDT 2024
% Result : Unsatisfiable 1.98s 0.64s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 27 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9357,plain,
$false,
inference(resolution,[],[f9314,f968]) ).
fof(f968,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f546,f551]) ).
fof(f551,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f546,axiom,
! [X2,X31,X11] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X11),X31))
| hBOOL(hAPP(X31,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f9314,plain,
~ hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f9295,f1378]) ).
fof(f1378,plain,
~ hBOOL(hAPP(v_ts_H,v_xa)),
inference(duplicate_literal_removal,[],[f1377]) ).
fof(f1377,plain,
( ~ hBOOL(hAPP(v_ts_H,v_xa))
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(resolution,[],[f1375,f545]) ).
fof(f545,axiom,
! [X2,X31,X11] :
( hBOOL(hAPP(hAPP(c_in(X2),X11),X31))
| ~ hBOOL(hAPP(X31,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1375,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_ts_H))
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(resolution,[],[f1374,f552]) ).
fof(f552,axiom,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1374,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H))
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(resolution,[],[f1373,f967]) ).
fof(f967,plain,
( ~ hBOOL(hAPP(v_Ga,v_n(v_x)))
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(resolution,[],[f965,f545]) ).
fof(f965,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_ts_H))
| ~ hBOOL(hAPP(v_Ga,v_n(v_x))) ),
inference(resolution,[],[f545,f668]) ).
fof(f668,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_ts_H)) ),
inference(resolution,[],[f666,f553]) ).
fof(f553,axiom,
! [X50] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X50,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X50),v_Ga)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f666,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_ts_H)) ),
inference(resolution,[],[f555,f552]) ).
fof(f555,axiom,
! [X51,X46] :
( c_Hoare__Mirabelle_Otriple__valid(X46,X51,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X46,v_n(X46),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X51),v_ts_H)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1373,plain,
! [X0,X1] :
( hBOOL(hAPP(v_Ga,v_n(X1)))
| c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H)) ),
inference(resolution,[],[f554,f546]) ).
fof(f554,axiom,
! [X46,X47] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X46)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X47),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X46,X47,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f9295,plain,
! [X0] :
( hBOOL(hAPP(v_ts_H,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(superposition,[],[f218,f9292]) ).
fof(f9292,plain,
v_ts_H = c_Lattices_Oupper__semilattice__class_Osup(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(resolution,[],[f347,f550]) ).
fof(f550,axiom,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f347,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f218,axiom,
! [X2,X0,X11,X1] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X11))
| ~ hBOOL(hAPP(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 21:03:38 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (19420)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (19423)WARNING: value z3 for option sas not known
% 0.13/0.37 % (19423)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)
% 0.13/0.37 % (19425)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)
% 0.13/0.38 % (19421)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (19426)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)
% 0.13/0.38 % (19424)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (19427)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)
% 0.13/0.38 % (19422)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.46 TRYING [1]
% 0.20/0.47 TRYING [2]
% 1.98/0.63 % (19426)First to succeed.
% 1.98/0.64 % (19426)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19420"
% 1.98/0.64 % (19426)Refutation found. Thanks to Tanya!
% 1.98/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.64 % (19426)------------------------------
% 1.98/0.64 % (19426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.98/0.64 % (19426)Termination reason: Refutation
% 1.98/0.64
% 1.98/0.64 % (19426)Memory used [KB]: 4252
% 1.98/0.64 % (19426)Time elapsed: 0.261 s
% 1.98/0.64 % (19426)Instructions burned: 753 (million)
% 1.98/0.64 % (19420)Success in time 0.294 s
%------------------------------------------------------------------------------