TSTP Solution File: SEU444+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n028.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 : Thu Aug 31 17:59:15 EDT 2023
% Result : Theorem 0.48s 1.15s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 50 ( 35 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 12 |; 10 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 33 (; 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23275,plain,
$false,
inference(trivial_inequality_removal,[],[f23274]) ).
fof(f23274,plain,
k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78)),
inference(backward_demodulation,[],[f23265,f23266]) ).
fof(f23266,plain,
k2_funct_5(sK78) = k5_relset_1(sK77,sK76,sK78),
inference(forward_demodulation,[],[f22881,f22876]) ).
fof(f22876,plain,
k10_relset_1(sK77,sK76,sK78,sK77) = k5_relset_1(sK77,sK76,sK78),
inference(resolution,[],[f13121,f19576]) ).
fof(f19576,plain,
! [X2,X0,X1] :
( k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f8532,plain,
! [X0,X1,X2] :
( ( k4_relset_1(X0,X1,X2) = k11_relset_1(X0,X1,X2,X1)
& k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1159]) ).
fof(f1159,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k4_relset_1(X0,X1,X2) = k11_relset_1(X0,X1,X2,X1)
& k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.5zb863L8LU/Vampire---4.8_7386',t38_relset_1) ).
fof(f13121,plain,
m2_relset_1(sK78,sK77,sK76),
inference(cnf_transformation,[],[f9937]) ).
fof(f9937,plain,
( ( k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k10_relset_1(sK77,sK76,sK78,sK77)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78))
| k1_funct_5(sK78) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),sK76) )
& m2_relset_1(sK78,sK77,sK76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77,sK78])],[f4713,f9936]) ).
fof(f9936,plain,
( ? [X0,X1,X2] :
( ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
& m2_relset_1(X2,X1,X0) )
=> ( ( k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k10_relset_1(sK77,sK76,sK78,sK77)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78))
| k1_funct_5(sK78) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),sK76) )
& m2_relset_1(sK78,sK77,sK76) ) ),
introduced(choice_axiom,[]) ).
fof(f4713,plain,
? [X0,X1,X2] :
( ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
& m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4529]) ).
fof(f4529,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(negated_conjecture,[],[f4528]) ).
fof(f4528,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.5zb863L8LU/Vampire---4.8_7386',t56_relset_2) ).
fof(f22881,plain,
k10_relset_1(sK77,sK76,sK78,sK77) = k2_funct_5(sK78),
inference(resolution,[],[f13121,f19581]) ).
fof(f19581,plain,
! [X2,X0,X1] :
( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f8534]) ).
fof(f8534,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4523]) ).
fof(f4523,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.5zb863L8LU/Vampire---4.8_7386',t51_relset_2) ).
fof(f23265,plain,
k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k5_relset_1(sK77,sK76,sK78)),
inference(trivial_inequality_removal,[],[f23264]) ).
fof(f23264,plain,
( k1_funct_5(sK78) != k1_funct_5(sK78)
| k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k5_relset_1(sK77,sK76,sK78)) ),
inference(backward_demodulation,[],[f23263,f22880]) ).
fof(f22880,plain,
k1_funct_5(sK78) = k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),sK76),
inference(resolution,[],[f13121,f19580]) ).
fof(f19580,plain,
! [X2,X0,X1] :
( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f8534]) ).
fof(f23263,plain,
( k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k5_relset_1(sK77,sK76,sK78))
| k1_funct_5(sK78) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),sK76) ),
inference(backward_demodulation,[],[f13122,f22876]) ).
fof(f13122,plain,
( k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k10_relset_1(sK77,sK76,sK78,sK77)) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),k2_funct_5(sK78))
| k1_funct_5(sK78) != k10_relset_1(sK76,sK77,k6_relset_1(sK77,sK76,sK78),sK76) ),
inference(cnf_transformation,[],[f9937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.39 % Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.41 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.41/0.62 % Computer : n028.cluster.edu
% 0.41/0.62 % Model : x86_64 x86_64
% 0.41/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.41/0.62 % Memory : 8042.1875MB
% 0.41/0.62 % OS : Linux 3.10.0-693.el7.x86_64
% 0.41/0.62 % CPULimit : 300
% 0.41/0.62 % WCLimit : 300
% 0.41/0.62 % DateTime : Wed Aug 23 19:02:49 EDT 2023
% 0.41/0.62 % CPUTime :
% 0.41/0.62 This is a FOF_THM_RFO_SEQ problem
% 0.41/0.63 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.5zb863L8LU/Vampire---4.8_7386
% 0.41/0.63 % (7674)Running in auto input_syntax mode. Trying TPTP
% 0.41/0.80 % (7680)dis+2_5:1_av=off:bsr=on:bce=on:er=known:fde=unused:lcm=reverse:nm=2:nwc=5.0:sp=frequency:tgt=full_489 on Vampire---4 for (489ds/0Mi)
% 0.41/0.82 % (7676)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_623 on Vampire---4 for (623ds/0Mi)
% 0.41/0.82 % (7678)dis-4_5:1_av=off:bd=off:drc=off:fsd=off:fde=unused:irw=on:lcm=reverse:lma=on:nwc=3.0:sos=all:sp=weighted_frequency_613 on Vampire---4 for (613ds/0Mi)
% 0.41/0.82 % (7679)lrs+1010_15_av=off:bd=off:bce=on:er=known:fsr=off:nm=16:nwc=2.0:sp=frequency:tgt=ground:urr=ec_only:stl=62_527 on Vampire---4 for (527ds/0Mi)
% 0.48/0.82 % (7677)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_615 on Vampire---4 for (615ds/0Mi)
% 0.48/0.85 % (7675)lrs+1_11_av=off:bd=preordered:bsr=on:bce=on:cond=on:fsd=off:fde=none:lcm=predicate:nm=4:nwc=1.5:sims=off:sos=all:sp=reverse_arity:stl=188_848 on Vampire---4 for (848ds/0Mi)
% 0.48/0.86 % (7681)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_445 on Vampire---4 for (445ds/0Mi)
% 0.48/1.14 % (7676)First to succeed.
% 0.48/1.15 % (7676)Refutation found. Thanks to Tanya!
% 0.48/1.15 % SZS status Theorem for Vampire---4
% 0.48/1.15 % SZS output start Proof for Vampire---4
% See solution above
% 0.48/1.15 % (7676)------------------------------
% 0.48/1.15 % (7676)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.48/1.15 % (7676)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.48/1.15 % (7676)Termination reason: Refutation
% 0.48/1.15
% 0.48/1.15 % (7676)Memory used [KB]: 38123
% 0.48/1.15 % (7676)Time elapsed: 0.321 s
% 0.48/1.15 % (7676)------------------------------
% 0.48/1.15 % (7676)------------------------------
% 0.48/1.15 % (7674)Success in time 0.515 s
% 0.48/1.15 % Vampire---4.8 exiting
%------------------------------------------------------------------------------