TSTP Solution File: LCL287-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL287-3 : 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 : n007.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 17:40:05 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 24 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f115,f73]) ).
fof(f73,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(unit_resulting_resolution,[],[f32,f50,f17]) ).
fof(f17,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| ~ theorem(X4)
| theorem(X3) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f8,axiom,
! [X3,X4] :
( theorem(X3)
| ~ theorem(implies(X4,X3))
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f50,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(unit_resulting_resolution,[],[f19,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f19,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f32,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(unit_resulting_resolution,[],[f14,f7]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f115,plain,
! [X0,X1] : ~ theorem(or(not(or(or(X0,X1),not(X1))),or(not(not(or(not(p),not(q)))),not(or(not(p),not(q)))))),
inference(unit_resulting_resolution,[],[f54,f102,f17]) ).
fof(f102,plain,
~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),
inference(unit_resulting_resolution,[],[f15,f55,f17]) ).
fof(f55,plain,
! [X0] : theorem(or(X0,not(or(X0,X0)))),
inference(unit_resulting_resolution,[],[f34,f43,f17]) ).
fof(f43,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(unit_resulting_resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f34,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(unit_resulting_resolution,[],[f16,f7]) ).
fof(f16,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f15,plain,
~ theorem(not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q)))))))),
inference(definition_unfolding,[],[f11,f12,f9]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f12,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f10,axiom,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,axiom,
~ theorem(equivalent(and(p,q),not(or(not(p),not(q))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f54,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(unit_resulting_resolution,[],[f32,f43,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL287-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:36:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.58 % (6834)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.58 % (6826)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.59 % (6842)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.59 % (6842)Refutation not found, incomplete strategy% (6842)------------------------------
% 0.20/0.59 % (6842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6834)Refutation not found, incomplete strategy% (6834)------------------------------
% 0.20/0.59 % (6834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6834)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (6834)Memory used [KB]: 10234
% 0.20/0.59 % (6819)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 (2999ds/43Mi)
% 0.20/0.59 % (6834)Time elapsed: 0.161 s
% 0.20/0.59 % (6834)Instructions burned: 2 (million)
% 0.20/0.59 % (6834)------------------------------
% 0.20/0.59 % (6834)------------------------------
% 0.20/0.59 % (6836)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.59 % (6842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6825)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (6842)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (6842)Memory used [KB]: 5756
% 0.20/0.59 % (6842)Time elapsed: 0.160 s
% 0.20/0.59 % (6842)Instructions burned: 2 (million)
% 0.20/0.59 % (6842)------------------------------
% 0.20/0.59 % (6842)------------------------------
% 0.20/0.59 % (6826)First to succeed.
% 0.20/0.60 % (6826)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 % (6826)------------------------------
% 0.20/0.60 % (6826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (6826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (6826)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (6826)Memory used [KB]: 5884
% 0.20/0.60 % (6826)Time elapsed: 0.167 s
% 0.20/0.60 % (6826)Instructions burned: 5 (million)
% 0.20/0.60 % (6826)------------------------------
% 0.20/0.60 % (6826)------------------------------
% 0.20/0.60 % (6815)Success in time 0.242 s
%------------------------------------------------------------------------------