TSTP Solution File: SEU102+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU102+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 03:52:59 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 32 unt; 0 def)
% Number of atoms : 107 ( 22 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 96 ( 35 ~; 24 |; 30 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 40 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14308,plain,
$false,
inference(subsumption_resolution,[],[f14307,f111]) ).
fof(f111,plain,
~ element(set_intersection2(sK2,sK3),sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ~ element(set_intersection2(sK2,sK3),sK4)
& element(sK3,sK4)
& element(sK2,sK4)
& preboolean(sK4)
& ~ empty(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f52,f83]) ).
fof(f83,plain,
( ? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) )
=> ( ~ element(set_intersection2(sK2,sK3),sK4)
& element(sK3,sK4)
& element(sK2,sK4)
& preboolean(sK4)
& ~ empty(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(set_intersection2(X0,X1),X2) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(set_intersection2(X0,X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
fof(f14307,plain,
element(set_intersection2(sK2,sK3),sK4),
inference(forward_demodulation,[],[f14292,f14035]) ).
fof(f14035,plain,
set_intersection2(sK2,sK3) = prebool_difference(sK4,sK2,set_difference(sK2,sK3)),
inference(forward_demodulation,[],[f14034,f142]) ).
fof(f142,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f14034,plain,
prebool_difference(sK4,sK2,set_difference(sK2,sK3)) = set_difference(sK2,set_difference(sK2,sK3)),
inference(forward_demodulation,[],[f13886,f13916]) ).
fof(f13916,plain,
prebool_difference(sK4,sK2,sK3) = set_difference(sK2,sK3),
inference(unit_resulting_resolution,[],[f107,f108,f109,f110,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> prebool_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).
fof(f110,plain,
element(sK3,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f109,plain,
element(sK2,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f108,plain,
preboolean(sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f107,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f13886,plain,
prebool_difference(sK4,sK2,prebool_difference(sK4,sK2,sK3)) = set_difference(sK2,prebool_difference(sK4,sK2,sK3)),
inference(unit_resulting_resolution,[],[f107,f108,f109,f13071,f153]) ).
fof(f13071,plain,
element(prebool_difference(sK4,sK2,sK3),sK4),
inference(unit_resulting_resolution,[],[f107,f108,f109,f110,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| element(prebool_difference(X0,X1,X2),X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> element(prebool_difference(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_finsub_1) ).
fof(f14292,plain,
element(prebool_difference(sK4,sK2,set_difference(sK2,sK3)),sK4),
inference(unit_resulting_resolution,[],[f107,f108,f109,f14193,f152]) ).
fof(f14193,plain,
element(set_difference(sK2,sK3),sK4),
inference(forward_demodulation,[],[f14192,f14022]) ).
fof(f14022,plain,
set_difference(sK2,sK3) = prebool_difference(sK4,set_difference(sK2,sK3),empty_set),
inference(forward_demodulation,[],[f14021,f13916]) ).
fof(f14021,plain,
prebool_difference(sK4,sK2,sK3) = prebool_difference(sK4,prebool_difference(sK4,sK2,sK3),empty_set),
inference(forward_demodulation,[],[f14020,f116]) ).
fof(f116,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f14020,plain,
prebool_difference(sK4,prebool_difference(sK4,sK2,sK3),empty_set) = set_difference(prebool_difference(sK4,sK2,sK3),empty_set),
inference(forward_demodulation,[],[f13894,f13995]) ).
fof(f13995,plain,
empty_set = prebool_difference(sK4,sK3,sK3),
inference(forward_demodulation,[],[f13917,f11703]) ).
fof(f11703,plain,
! [X0] : empty_set = set_difference(X0,X0),
inference(forward_demodulation,[],[f11664,f115]) ).
fof(f115,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f11664,plain,
! [X0] : set_intersection2(X0,empty_set) = set_difference(X0,X0),
inference(superposition,[],[f142,f116]) ).
fof(f13917,plain,
prebool_difference(sK4,sK3,sK3) = set_difference(sK3,sK3),
inference(unit_resulting_resolution,[],[f107,f108,f110,f110,f153]) ).
fof(f13894,plain,
prebool_difference(sK4,prebool_difference(sK4,sK2,sK3),prebool_difference(sK4,sK3,sK3)) = set_difference(prebool_difference(sK4,sK2,sK3),prebool_difference(sK4,sK3,sK3)),
inference(unit_resulting_resolution,[],[f107,f108,f13071,f13072,f153]) ).
fof(f13072,plain,
element(prebool_difference(sK4,sK3,sK3),sK4),
inference(unit_resulting_resolution,[],[f107,f108,f110,f110,f152]) ).
fof(f14192,plain,
element(prebool_difference(sK4,set_difference(sK2,sK3),empty_set),sK4),
inference(forward_demodulation,[],[f14170,f13916]) ).
fof(f14170,plain,
element(prebool_difference(sK4,prebool_difference(sK4,sK2,sK3),empty_set),sK4),
inference(unit_resulting_resolution,[],[f107,f108,f13071,f14134,f152]) ).
fof(f14134,plain,
element(empty_set,sK4),
inference(superposition,[],[f13072,f13995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU102+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 15:22:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (3467)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (3474)WARNING: value z3 for option sas not known
% 0.15/0.37 % (3472)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (3473)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 % (3475)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3476)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 % (3474)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 % (3478)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (3477)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 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [3]
% 0.21/0.42 TRYING [6]
% 0.21/0.43 TRYING [4]
% 0.21/0.47 TRYING [7]
% 0.21/0.49 TRYING [5]
% 0.21/0.51 TRYING [8]
% 0.21/0.54 % (3478)First to succeed.
% 0.21/0.54 % (3478)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3467"
% 0.21/0.54 % (3478)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (3478)------------------------------
% 0.21/0.54 % (3478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.54 % (3478)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (3478)Memory used [KB]: 4409
% 0.21/0.54 % (3478)Time elapsed: 0.167 s
% 0.21/0.54 % (3478)Instructions burned: 357 (million)
% 0.21/0.54 % (3467)Success in time 0.183 s
%------------------------------------------------------------------------------