TSTP Solution File: LCL322-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL322-3 : 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 : 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 : Wed Aug 31 17:40:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 31 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 19 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1040,plain,
$false,
inference(subsumption_resolution,[],[f1036,f220]) ).
fof(f220,plain,
theorem(or(sF1,sF2)),
inference(resolution,[],[f106,f32]) ).
fof(f32,plain,
theorem(or(sF2,sF1)),
inference(resolution,[],[f30,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f30,plain,
axiom(or(sF2,sF1)),
inference(forward_demodulation,[],[f27,f19]) ).
fof(f19,plain,
sF2 = not(q),
introduced(function_definition,[]) ).
fof(f27,plain,
axiom(or(not(q),sF1)),
inference(superposition,[],[f14,f18]) ).
fof(f18,plain,
or(sF0,q) = sF1,
introduced(function_definition,[]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f106,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f33,f15]) ).
fof(f15,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| ~ theorem(X4)
| theorem(X3) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( theorem(X3)
| ~ theorem(implies(X4,X3))
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f33,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f11,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(f1036,plain,
~ theorem(or(sF1,sF2)),
inference(resolution,[],[f1026,f337]) ).
fof(f337,plain,
! [X3,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,X5)) ),
inference(resolution,[],[f151,f87]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f24,f15]) ).
fof(f24,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f58,f15]) ).
fof(f58,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f12,f7]) ).
fof(f12,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(f1026,plain,
~ theorem(or(sF1,or(p,sF2))),
inference(resolution,[],[f810,f104]) ).
fof(f104,plain,
theorem(or(not(or(p,sF2)),sF3)),
inference(resolution,[],[f38,f7]) ).
fof(f38,plain,
axiom(or(not(or(p,sF2)),sF3)),
inference(superposition,[],[f11,f20]) ).
fof(f20,plain,
or(sF2,p) = sF3,
introduced(function_definition,[]) ).
fof(f810,plain,
! [X0] :
( ~ theorem(or(not(X0),sF3))
| ~ theorem(or(sF1,X0)) ),
inference(subsumption_resolution,[],[f807,f22]) ).
fof(f22,plain,
~ theorem(sF4),
inference(definition_folding,[],[f13,f21,f20,f19,f18,f17]) ).
fof(f17,plain,
not(p) = sF0,
introduced(function_definition,[]) ).
fof(f21,plain,
or(sF1,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f13,plain,
~ theorem(or(or(not(p),q),or(not(q),p))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f9,axiom,
~ theorem(or(implies(p,q),implies(q,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f807,plain,
! [X0] :
( ~ theorem(or(not(X0),sF3))
| theorem(sF4)
| ~ theorem(or(sF1,X0)) ),
inference(resolution,[],[f441,f15]) ).
fof(f441,plain,
! [X0] :
( theorem(or(not(or(sF1,X0)),sF4))
| ~ theorem(or(not(X0),sF3)) ),
inference(resolution,[],[f175,f15]) ).
fof(f175,plain,
! [X0] : theorem(or(not(or(not(X0),sF3)),or(not(or(sF1,X0)),sF4))),
inference(resolution,[],[f74,f7]) ).
fof(f74,plain,
! [X2] : axiom(or(not(or(not(X2),sF3)),or(not(or(sF1,X2)),sF4))),
inference(superposition,[],[f16,f21]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL322-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:02:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (19900)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (19914)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)
% 0.20/0.57 % (19914)Instruction limit reached!
% 0.20/0.57 % (19914)------------------------------
% 0.20/0.57 % (19914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (19914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (19914)Termination reason: Unknown
% 0.20/0.57 % (19914)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (19914)Memory used [KB]: 1918
% 0.20/0.57 % (19914)Time elapsed: 0.123 s
% 0.20/0.57 % (19914)Instructions burned: 29 (million)
% 0.20/0.57 % (19914)------------------------------
% 0.20/0.57 % (19914)------------------------------
% 0.20/0.57 % (19902)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.57 % (19902)Refutation not found, incomplete strategy% (19902)------------------------------
% 0.20/0.57 % (19902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (19902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (19902)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (19902)Memory used [KB]: 5884
% 0.20/0.57 % (19902)Time elapsed: 0.139 s
% 0.20/0.57 % (19902)Instructions burned: 3 (million)
% 0.20/0.57 % (19902)------------------------------
% 0.20/0.57 % (19902)------------------------------
% 0.20/0.58 % (19909)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)
% 0.20/0.58 % (19909)Refutation not found, incomplete strategy% (19909)------------------------------
% 0.20/0.58 % (19909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (19909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (19909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (19909)Memory used [KB]: 5756
% 0.20/0.58 % (19909)Time elapsed: 0.138 s
% 0.20/0.58 % (19909)Instructions burned: 1 (million)
% 0.20/0.58 % (19909)------------------------------
% 0.20/0.58 % (19909)------------------------------
% 0.20/0.58 % (19929)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58 % (19929)Refutation not found, incomplete strategy% (19929)------------------------------
% 0.20/0.58 % (19929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (19929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (19929)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (19929)Memory used [KB]: 5756
% 0.20/0.58 % (19929)Time elapsed: 0.152 s
% 0.20/0.58 % (19929)Instructions burned: 2 (million)
% 0.20/0.58 % (19929)------------------------------
% 0.20/0.58 % (19929)------------------------------
% 0.20/0.60 % (19900)First to succeed.
% 0.20/0.60 % (19923)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.61 % (19900)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (19900)------------------------------
% 0.20/0.61 % (19900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (19900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (19900)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (19900)Memory used [KB]: 6780
% 0.20/0.61 % (19900)Time elapsed: 0.163 s
% 0.20/0.61 % (19900)Instructions burned: 51 (million)
% 0.20/0.61 % (19900)------------------------------
% 0.20/0.61 % (19900)------------------------------
% 0.20/0.61 % (19899)Success in time 0.255 s
%------------------------------------------------------------------------------