TSTP Solution File: LCL174-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL174-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n014.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 17:39:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 150 ( 1 equ)
% Maximal formula atoms : 3 ( 10 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 127 ( 127 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 23 ( 22 !; 0 ?; 23 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f33,plain,
$false,
inference(subsumption_resolution,[],[f30,f14]) ).
tff(f14,plain,
! [X2: $i,X0: $i,X1: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
tff(f6,axiom,
! [X3: $i,X4: $i] : ( implies(X3,X4) = or(not(X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
tff(f5,axiom,
! [X2: $i,X0: $i,X1: $i] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
tff(f30,plain,
~ axiom(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r)))),
inference(resolution,[],[f25,f11]) ).
tff(f11,plain,
! [X2: $i,X0: $i,X1: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
tff(f4,axiom,
! [X2: $i,X0: $i,X1: $i] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
tff(f25,plain,
! [X0: $i] :
( ~ axiom(or(not(X0),or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r)))))
| ~ axiom(X0) ),
inference(resolution,[],[f23,f7]) ).
tff(f7,axiom,
! [X3: $i] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
tff(f23,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ axiom(or(not(X0),or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r))))) ),
inference(resolution,[],[f22,f7]) ).
tff(f22,plain,
! [X0: $i] :
( ~ theorem(or(not(X0),or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f10,f12]) ).
tff(f12,plain,
! [X3: $i,X4: $i] :
( theorem(X3)
| ~ theorem(or(not(X4),X3))
| ~ theorem(X4) ),
inference(definition_unfolding,[],[f8,f6]) ).
tff(f8,axiom,
! [X3: $i,X4: $i] :
( ~ theorem(X4)
| ~ theorem(implies(X4,X3))
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
tff(f10,plain,
~ theorem(or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
tff(f9,axiom,
~ theorem(implies(implies(p,q),implies(implies(q,r),implies(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL174-3 : TPTP v8.1.0. Released v2.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.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 : Tue Aug 30 01:41:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.58 % (13524)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59 % (13538)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 (2999ds/97Mi)
% 0.20/0.59 % (13540)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.59 % (13523)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (13530)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 (2999ds/29Mi)
% 0.20/0.59 % (13532)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (13522)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 (2999ds/49Mi)
% 0.20/0.59 % (13524)First to succeed.
% 0.20/0.60 % (13523)Refutation not found, incomplete strategy% (13523)------------------------------
% 0.20/0.60 % (13523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (13524)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (13524)------------------------------
% 0.20/0.60 % (13524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (13524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (13524)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (13524)Memory used [KB]: 5756
% 0.20/0.60 % (13524)Time elapsed: 0.152 s
% 0.20/0.60 % (13524)Instructions burned: 2 (million)
% 0.20/0.60 % (13524)------------------------------
% 0.20/0.60 % (13524)------------------------------
% 0.20/0.60 % (13485)Success in time 0.238 s
%------------------------------------------------------------------------------