TSTP Solution File: LCL011-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n012.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 : Fri Sep 1 17:18:42 EDT 2023
% Result : Unsatisfiable 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2752,plain,
$false,
inference(resolution,[],[f2438,f2342]) ).
fof(f2342,plain,
! [X34,X35] : is_a_theorem(equivalent(equivalent(X34,X35),equivalent(X35,X34))),
inference(resolution,[],[f1339,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.H7pblldItT/Vampire---4.8_6212',yqj) ).
fof(f1339,plain,
! [X108,X107] :
( ~ is_a_theorem(equivalent(equivalent(X107,X107),X108))
| is_a_theorem(X108) ),
inference(resolution,[],[f1216,f238]) ).
fof(f238,plain,
! [X46,X45] :
( ~ is_a_theorem(equivalent(X45,equivalent(X46,X46)))
| is_a_theorem(X45) ),
inference(resolution,[],[f211,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.H7pblldItT/Vampire---4.8_6212',condensed_detachment) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f2,f1]) ).
fof(f211,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f188,f2]) ).
fof(f188,plain,
! [X3,X4] :
( ~ is_a_theorem(equivalent(X4,equivalent(X3,X4)))
| is_a_theorem(X3) ),
inference(resolution,[],[f177,f73]) ).
fof(f73,plain,
! [X3,X4,X5] :
( ~ is_a_theorem(equivalent(X3,equivalent(X4,X5)))
| is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X4,X5)) ),
inference(resolution,[],[f11,f4]) ).
fof(f177,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(resolution,[],[f84,f2]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f73,f2]) ).
fof(f1216,plain,
! [X2,X1] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f238,f4]) ).
fof(f2438,plain,
~ is_a_theorem(equivalent(equivalent(b,a),equivalent(a,b))),
inference(resolution,[],[f2342,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X0),equivalent(X1,X2)),equivalent(equivalent(a,c),equivalent(c,b))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(a,b))) ),
inference(resolution,[],[f18,f2]) ).
fof(f18,plain,
! [X2,X3] :
( ~ is_a_theorem(equivalent(X2,equivalent(a,b)))
| ~ is_a_theorem(equivalent(X3,equivalent(equivalent(a,c),equivalent(c,b))))
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(resolution,[],[f7,f5]) ).
fof(f7,plain,
! [X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),X3))
| ~ is_a_theorem(equivalent(X3,equivalent(a,b))) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
file('/export/starexec/sandbox2/tmp/tmp.H7pblldItT/Vampire---4.8_6212',prove_yqf) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.10 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.29 % Computer : n012.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Aug 30 14:48:23 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.33 % (7322)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.33 % (7422)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.08/0.33 % (7420)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.08/0.33 % (7421)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.08/0.33 % (7423)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.08/0.33 % (7424)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.08/0.33 % (7425)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.08/0.33 % (7419)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.08/0.33 TRYING [1]
% 0.08/0.33 TRYING [2]
% 0.08/0.33 TRYING [1]
% 0.08/0.33 TRYING [1]
% 0.08/0.33 TRYING [1]
% 0.08/0.33 TRYING [2]
% 0.08/0.33 TRYING [2]
% 0.08/0.33 TRYING [2]
% 0.08/0.33 TRYING [3]
% 0.08/0.33 TRYING [3]
% 0.08/0.33 TRYING [3]
% 0.08/0.33 TRYING [3]
% 0.08/0.34 TRYING [4]
% 0.08/0.34 TRYING [4]
% 0.08/0.34 TRYING [4]
% 0.08/0.34 TRYING [4]
% 0.13/0.43 TRYING [5]
% 0.13/0.44 TRYING [5]
% 0.13/0.45 TRYING [5]
% 0.13/0.46 TRYING [5]
% 0.13/0.46 % (7421)First to succeed.
% 0.13/0.46 % (7421)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.13/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.46 % (7421)------------------------------
% 0.13/0.46 % (7421)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.13/0.46 % (7421)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.13/0.46 % (7421)Termination reason: Refutation
% 0.13/0.46
% 0.13/0.46 % (7421)Memory used [KB]: 7419
% 0.13/0.46 % (7421)Time elapsed: 0.134 s
% 0.13/0.46 % (7421)------------------------------
% 0.13/0.46 % (7421)------------------------------
% 0.13/0.46 % (7322)Success in time 0.165 s
% 0.13/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------