TSTP Solution File: LCL022-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL022-1 : 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 : n006.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 17:37:49 EDT 2022
% Result : Unsatisfiable 1.77s 0.61s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f34,f71]) ).
fof(f71,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f59,f35]) ).
fof(f35,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0)))
| ~ spl0_1 ),
inference(resolution,[],[f24,f4]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
fof(f24,plain,
( ! [X6] : is_a_theorem(equivalent(X6,X6))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl0_1
<=> ! [X6] : is_a_theorem(equivalent(X6,X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f59,plain,
( ~ is_a_theorem(equivalent(equivalent(c,b),equivalent(b,c)))
| ~ spl0_1 ),
inference(resolution,[],[f47,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0))),
inference(resolution,[],[f4,f2]) ).
fof(f47,plain,
( ! [X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),X1))
| ~ is_a_theorem(X1) )
| ~ spl0_1 ),
inference(resolution,[],[f43,f41]) ).
fof(f41,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))))
| ~ spl0_1 ),
inference(resolution,[],[f40,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
fof(f40,plain,
( ! [X6,X7] :
( is_a_theorem(equivalent(X7,X6))
| ~ is_a_theorem(equivalent(X6,X7)) )
| ~ spl0_1 ),
inference(resolution,[],[f35,f1]) ).
fof(f43,plain,
( ! [X3,X4] :
( is_a_theorem(X3)
| ~ is_a_theorem(X4)
| ~ is_a_theorem(equivalent(X3,X4)) )
| ~ spl0_1 ),
inference(resolution,[],[f40,f1]) ).
fof(f34,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f30,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f27,f8]) ).
fof(f8,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X8,X6,X7,X5] :
( ~ is_a_theorem(equivalent(X5,equivalent(equivalent(X6,X7),equivalent(X8,X6))))
| is_a_theorem(equivalent(equivalent(X8,X7),X5)) ),
inference(resolution,[],[f5,f1]) ).
fof(f27,plain,
( ! [X5] : ~ is_a_theorem(equivalent(X5,X5))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_2
<=> ! [X5] : ~ is_a_theorem(equivalent(X5,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f26,f23]) ).
fof(f21,plain,
! [X6,X5] :
( ~ is_a_theorem(equivalent(X5,X5))
| is_a_theorem(equivalent(X6,X6)) ),
inference(resolution,[],[f16,f1]) ).
fof(f16,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
inference(resolution,[],[f11,f7]) ).
fof(f11,plain,
! [X3,X4,X5] : is_a_theorem(equivalent(equivalent(X3,equivalent(X4,X5)),equivalent(equivalent(X4,X5),X3))),
inference(resolution,[],[f8,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n006.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 01:28:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (24299)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)
% 0.19/0.53 % (24296)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)
% 0.19/0.54 % (24315)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)
% 0.19/0.55 % (24311)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)
% 1.56/0.56 % (24303)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)
% 1.56/0.56 % (24311)Refutation not found, incomplete strategy% (24311)------------------------------
% 1.56/0.56 % (24311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (24311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (24311)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.56
% 1.56/0.56 % (24311)Memory used [KB]: 10234
% 1.56/0.56 % (24311)Time elapsed: 0.140 s
% 1.56/0.56 % (24311)Instructions burned: 1 (million)
% 1.56/0.56 % (24311)------------------------------
% 1.56/0.56 % (24311)------------------------------
% 1.56/0.56 % (24293)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.56/0.57 % (24312)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.57 % (24303)Instruction limit reached!
% 1.56/0.57 % (24303)------------------------------
% 1.56/0.57 % (24303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (24303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (24303)Termination reason: Unknown
% 1.56/0.57 % (24303)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (24303)Memory used [KB]: 5884
% 1.56/0.57 % (24303)Time elapsed: 0.153 s
% 1.56/0.57 % (24303)Instructions burned: 7 (million)
% 1.56/0.57 % (24303)------------------------------
% 1.56/0.57 % (24303)------------------------------
% 1.56/0.58 % (24312)Refutation not found, incomplete strategy% (24312)------------------------------
% 1.56/0.58 % (24312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (24312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58 % (24312)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.58
% 1.56/0.58 % (24312)Memory used [KB]: 5756
% 1.56/0.58 % (24312)Time elapsed: 0.152 s
% 1.56/0.58 % (24312)Instructions burned: 1 (million)
% 1.56/0.58 % (24312)------------------------------
% 1.56/0.58 % (24312)------------------------------
% 1.77/0.58 % (24316)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)
% 1.77/0.58 % (24298)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.77/0.58 % (24297)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.77/0.59 % (24301)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)
% 1.77/0.59 % (24302)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)
% 1.77/0.59 % (24302)Refutation not found, incomplete strategy% (24302)------------------------------
% 1.77/0.59 % (24302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59 % (24302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59 % (24302)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.59
% 1.77/0.59 % (24302)Memory used [KB]: 5756
% 1.77/0.59 % (24302)Time elapsed: 0.167 s
% 1.77/0.59 % (24302)Instructions burned: 1 (million)
% 1.77/0.59 % (24302)------------------------------
% 1.77/0.59 % (24302)------------------------------
% 1.77/0.59 % (24301)Instruction limit reached!
% 1.77/0.59 % (24301)------------------------------
% 1.77/0.59 % (24301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59 % (24301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59 % (24301)Termination reason: Unknown
% 1.77/0.59 % (24301)Termination phase: Saturation
% 1.77/0.59
% 1.77/0.59 % (24301)Memory used [KB]: 5756
% 1.77/0.59 % (24301)Time elapsed: 0.170 s
% 1.77/0.60 % (24301)Instructions burned: 3 (million)
% 1.77/0.60 % (24301)------------------------------
% 1.77/0.60 % (24301)------------------------------
% 1.77/0.60 % (24295)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)
% 1.77/0.60 % (24296)Instruction limit reached!
% 1.77/0.60 % (24296)------------------------------
% 1.77/0.60 % (24296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60 % (24296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60 % (24321)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.77/0.60 % (24296)Termination reason: Unknown
% 1.77/0.60 % (24296)Termination phase: Saturation
% 1.77/0.60
% 1.77/0.60 % (24296)Memory used [KB]: 6012
% 1.77/0.60 % (24296)Time elapsed: 0.176 s
% 1.77/0.60 % (24296)Instructions burned: 43 (million)
% 1.77/0.60 % (24296)------------------------------
% 1.77/0.60 % (24296)------------------------------
% 1.77/0.60 % (24294)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.77/0.60 % (24295)Instruction limit reached!
% 1.77/0.60 % (24295)------------------------------
% 1.77/0.60 % (24295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60 % (24295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60 % (24295)Termination reason: Unknown
% 1.77/0.60 % (24295)Termination phase: Saturation
% 1.77/0.60
% 1.77/0.60 % (24295)Memory used [KB]: 5884
% 1.77/0.60 % (24295)Time elapsed: 0.182 s
% 1.77/0.60 % (24295)Instructions burned: 5 (million)
% 1.77/0.60 % (24295)------------------------------
% 1.77/0.60 % (24295)------------------------------
% 1.77/0.60 % (24294)Refutation not found, incomplete strategy% (24294)------------------------------
% 1.77/0.60 % (24294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60 % (24294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60 % (24294)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.60
% 1.77/0.60 % (24294)Memory used [KB]: 1279
% 1.77/0.60 % (24294)Time elapsed: 0.178 s
% 1.77/0.60 % (24294)Instructions burned: 1 (million)
% 1.77/0.60 % (24294)------------------------------
% 1.77/0.60 % (24294)------------------------------
% 1.77/0.60 % (24298)First to succeed.
% 1.77/0.61 % (24298)Refutation found. Thanks to Tanya!
% 1.77/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.77/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.61 % (24298)------------------------------
% 1.77/0.61 % (24298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (24298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (24298)Termination reason: Refutation
% 1.77/0.61
% 1.77/0.61 % (24298)Memory used [KB]: 5884
% 1.77/0.61 % (24298)Time elapsed: 0.172 s
% 1.77/0.61 % (24298)Instructions burned: 2 (million)
% 1.77/0.61 % (24298)------------------------------
% 1.77/0.61 % (24298)------------------------------
% 1.77/0.61 % (24292)Success in time 0.25 s
%------------------------------------------------------------------------------