TSTP Solution File: SEU103+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU103+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 09:27:01 EDT 2024
% Result : Theorem 16.57s 2.72s
% Output : Refutation 16.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 27 unt; 0 def)
% Number of atoms : 142 ( 23 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 148 ( 55 ~; 48 |; 36 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294004,plain,
$false,
inference(subsumption_resolution,[],[f294003,f131]) ).
fof(f131,plain,
~ element(symmetric_difference(sK2,sK3),sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ~ element(symmetric_difference(sK2,sK3),sK4)
& element(sK3,sK4)
& element(sK2,sK4)
& preboolean(sK4)
& ~ empty(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f60,f103]) ).
fof(f103,plain,
( ? [X0,X1,X2] :
( ~ element(symmetric_difference(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) )
=> ( ~ element(symmetric_difference(sK2,sK3),sK4)
& element(sK3,sK4)
& element(sK2,sK4)
& preboolean(sK4)
& ~ empty(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ~ element(symmetric_difference(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ~ element(symmetric_difference(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(symmetric_difference(X0,X1),X2) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(symmetric_difference(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finsub_1) ).
fof(f294003,plain,
element(symmetric_difference(sK2,sK3),sK4),
inference(forward_demodulation,[],[f294002,f293923]) ).
fof(f293923,plain,
symmetric_difference(sK2,sK3) = prebool_union2(sK4,set_difference(sK3,sK2),set_difference(sK2,sK3)),
inference(forward_demodulation,[],[f293922,f162]) ).
fof(f162,plain,
! [X0,X1] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_xboole_0) ).
fof(f293922,plain,
symmetric_difference(sK3,sK2) = prebool_union2(sK4,set_difference(sK3,sK2),set_difference(sK2,sK3)),
inference(forward_demodulation,[],[f293921,f164]) ).
fof(f164,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f293921,plain,
prebool_union2(sK4,set_difference(sK3,sK2),set_difference(sK2,sK3)) = set_union2(set_difference(sK3,sK2),set_difference(sK2,sK3)),
inference(forward_demodulation,[],[f293920,f292319]) ).
fof(f292319,plain,
prebool_difference(sK4,sK2,sK3) = set_difference(sK2,sK3),
inference(unit_resulting_resolution,[],[f127,f128,f129,f130,f179]) ).
fof(f179,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,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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,[],[f32]) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).
fof(f130,plain,
element(sK3,sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f129,plain,
element(sK2,sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f128,plain,
preboolean(sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f127,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f293920,plain,
prebool_union2(sK4,set_difference(sK3,sK2),prebool_difference(sK4,sK2,sK3)) = set_union2(set_difference(sK3,sK2),prebool_difference(sK4,sK2,sK3)),
inference(forward_demodulation,[],[f293919,f163]) ).
fof(f163,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f293919,plain,
prebool_union2(sK4,set_difference(sK3,sK2),prebool_difference(sK4,sK2,sK3)) = set_union2(prebool_difference(sK4,sK2,sK3),set_difference(sK3,sK2)),
inference(forward_demodulation,[],[f293918,f292314]) ).
fof(f292314,plain,
prebool_difference(sK4,sK3,sK2) = set_difference(sK3,sK2),
inference(unit_resulting_resolution,[],[f127,f128,f130,f129,f179]) ).
fof(f293918,plain,
prebool_union2(sK4,prebool_difference(sK4,sK3,sK2),prebool_difference(sK4,sK2,sK3)) = set_union2(prebool_difference(sK4,sK2,sK3),prebool_difference(sK4,sK3,sK2)),
inference(forward_demodulation,[],[f293892,f163]) ).
fof(f293892,plain,
prebool_union2(sK4,prebool_difference(sK4,sK3,sK2),prebool_difference(sK4,sK2,sK3)) = set_union2(prebool_difference(sK4,sK3,sK2),prebool_difference(sK4,sK2,sK3)),
inference(unit_resulting_resolution,[],[f127,f128,f290755,f290760,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| prebool_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( prebool_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( prebool_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> prebool_union2(X0,X1,X2) = set_union2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_finsub_1) ).
fof(f290760,plain,
element(prebool_difference(sK4,sK2,sK3),sK4),
inference(unit_resulting_resolution,[],[f127,f128,f129,f130,f177]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| element(prebool_difference(X0,X1,X2),X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> element(prebool_difference(X0,X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_finsub_1) ).
fof(f290755,plain,
element(prebool_difference(sK4,sK3,sK2),sK4),
inference(unit_resulting_resolution,[],[f127,f128,f130,f129,f177]) ).
fof(f294002,plain,
element(prebool_union2(sK4,set_difference(sK3,sK2),set_difference(sK2,sK3)),sK4),
inference(forward_demodulation,[],[f294001,f292314]) ).
fof(f294001,plain,
element(prebool_union2(sK4,prebool_difference(sK4,sK3,sK2),set_difference(sK2,sK3)),sK4),
inference(forward_demodulation,[],[f293848,f292319]) ).
fof(f293848,plain,
element(prebool_union2(sK4,prebool_difference(sK4,sK3,sK2),prebool_difference(sK4,sK2,sK3)),sK4),
inference(unit_resulting_resolution,[],[f127,f128,f290755,f290760,f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| element(prebool_union2(X0,X1,X2),X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( element(prebool_union2(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( element(prebool_union2(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> element(prebool_union2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_finsub_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU103+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.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 : Fri May 3 11:11:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (3486)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3490)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (3489)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (3487)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (3491)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 % (3493)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 % (3492)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 % (3489)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 % (3488)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [6]
% 0.21/0.45 TRYING [4]
% 0.21/0.54 TRYING [5]
% 0.21/0.54 TRYING [7]
% 2.56/0.74 TRYING [6]
% 3.03/0.78 TRYING [8]
% 6.34/1.27 TRYING [9]
% 7.35/1.44 TRYING [7]
% 7.92/1.47 TRYING [1]
% 7.92/1.47 TRYING [2]
% 7.92/1.47 TRYING [3]
% 7.92/1.48 TRYING [4]
% 7.92/1.48 TRYING [5]
% 8.21/1.51 TRYING [6]
% 8.42/1.59 TRYING [7]
% 10.46/1.83 TRYING [8]
% 12.65/2.14 TRYING [10]
% 13.14/2.22 TRYING [9]
% 16.57/2.71 % (3493)First to succeed.
% 16.57/2.72 % (3493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3486"
% 16.57/2.72 % (3493)Refutation found. Thanks to Tanya!
% 16.57/2.72 % SZS status Theorem for theBenchmark
% 16.57/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 16.57/2.72 % (3493)------------------------------
% 16.57/2.72 % (3493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.57/2.72 % (3493)Termination reason: Refutation
% 16.57/2.72
% 16.57/2.72 % (3493)Memory used [KB]: 80592
% 16.57/2.72 % (3493)Time elapsed: 2.344 s
% 16.57/2.72 % (3493)Instructions burned: 8567 (million)
% 16.57/2.72 % (3486)Success in time 2.359 s
%------------------------------------------------------------------------------