TSTP Solution File: LCL083-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 17:38:46 EDT 2022
% Result : Unsatisfiable 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(unit_resulting_resolution,[],[f3,f23,f66,f43,f66,f14]) ).
fof(f14,plain,
! [X18,X19,X16,X14,X17,X15,X20] :
( ~ is_a_theorem(implies(X19,X18))
| is_a_theorem(implies(X14,X15))
| ~ is_a_theorem(X16)
| ~ is_a_theorem(implies(implies(implies(X14,X15),X17),implies(X18,X15)))
| ~ is_a_theorem(implies(implies(X18,X20),X19)) ),
inference(resolution,[],[f10,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f10,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ is_a_theorem(implies(implies(X7,X11),X9))
| is_a_theorem(implies(X6,X7))
| ~ is_a_theorem(X10)
| ~ is_a_theorem(implies(implies(implies(X6,X7),X8),implies(X9,X7))) ),
inference(resolution,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X3,X4,X5] :
( ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X3,X4),X2))
| ~ is_a_theorem(X5) ),
inference(resolution,[],[f5,f1]) ).
fof(f43,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f41,f2]) ).
fof(f41,plain,
! [X24,X25] :
( ~ is_a_theorem(X24)
| is_a_theorem(implies(X25,X25)) ),
inference(resolution,[],[f32,f1]) ).
fof(f32,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f30,f23]) ).
fof(f30,plain,
! [X24,X22,X23] :
( ~ is_a_theorem(implies(implies(X22,X23),X22))
| is_a_theorem(implies(X24,X22)) ),
inference(resolution,[],[f23,f1]) ).
fof(f66,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f26,f2]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
inference(resolution,[],[f23,f18]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X1,X4),implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(resolution,[],[f9,f4]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))
| ~ is_a_theorem(X5)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f7,f2]) ).
fof(f23,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f20,f2]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
inference(resolution,[],[f18,f2]) ).
fof(f3,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 01:30:55 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.49 % (30983)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/97Mi)
% 0.17/0.49 % (30975)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/29Mi)
% 0.17/0.51 % (30967)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/49Mi)
% 0.17/0.51 % (30964)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.17/0.53 % (30975)First to succeed.
% 0.17/0.54 % (30975)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (30975)------------------------------
% 0.17/0.54 % (30975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (30975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (30975)Termination reason: Refutation
% 0.17/0.54
% 0.17/0.54 % (30975)Memory used [KB]: 1535
% 0.17/0.54 % (30975)Time elapsed: 0.093 s
% 0.17/0.54 % (30975)Instructions burned: 19 (million)
% 0.17/0.54 % (30975)------------------------------
% 0.17/0.54 % (30975)------------------------------
% 0.17/0.54 % (30957)Success in time 0.205 s
%------------------------------------------------------------------------------