TSTP Solution File: LCL081-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL081-1 : 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 : n023.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 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 34 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f54,f208,f222,f232]) ).
fof(f232,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f221,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_1) ).
fof(f221,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl0_12
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f222,plain,
( spl0_12
| spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f209,f206,f22,f220]) ).
fof(f22,plain,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f206,plain,
( spl0_11
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f209,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl0_11 ),
inference(resolution,[],[f207,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(f207,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( spl0_11
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f195,f52,f22,f206]) ).
fof(f52,plain,
( spl0_3
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f195,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) )
| ~ spl0_3 ),
inference(resolution,[],[f186,f1]) ).
fof(f186,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))
| ~ spl0_3 ),
inference(resolution,[],[f93,f53]) ).
fof(f53,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f93,plain,
! [X21,X22,X23,X20] :
( ~ is_a_theorem(implies(implies(X20,X21),X20))
| is_a_theorem(implies(X22,implies(X23,X20))) ),
inference(resolution,[],[f34,f11]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[],[f10,f2]) ).
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,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),implies(X4,X1)))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[],[f6,f4]) ).
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(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) ),
inference(resolution,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f34,plain,
! [X10,X8,X6,X9,X7,X5] :
( ~ is_a_theorem(implies(implies(X5,X9),X10))
| ~ is_a_theorem(implies(implies(X5,X6),X5))
| is_a_theorem(implies(X7,implies(X8,X5))) ),
inference(resolution,[],[f9,f4]) ).
fof(f9,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ is_a_theorem(implies(implies(X9,X10),implies(X7,X8)))
| ~ is_a_theorem(implies(implies(X8,X11),X10))
| is_a_theorem(implies(X6,implies(X7,X8))) ),
inference(resolution,[],[f7,f4]) ).
fof(f7,plain,
! [X8,X6,X9,X7,X5] :
( ~ is_a_theorem(implies(implies(X6,X9),X7))
| is_a_theorem(implies(X8,X7))
| ~ is_a_theorem(implies(implies(X5,X6),X7)) ),
inference(resolution,[],[f5,f4]) ).
fof(f54,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f22,f52]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
inference(resolution,[],[f42,f1]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f7,f2]) ).
fof(f29,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f23,f2]) ).
fof(f23,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL081-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 01:55:05 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (28837)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)
% 0.21/0.50 % (28836)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)
% 0.21/0.51 % (28852)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)
% 0.21/0.51 % (28835)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)
% 0.21/0.51 % (28844)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.51 % (28836)Refutation not found, incomplete strategy% (28836)------------------------------
% 0.21/0.51 % (28836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (28836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (28836)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (28836)Memory used [KB]: 5756
% 0.21/0.51 % (28836)Time elapsed: 0.105 s
% 0.21/0.51 % (28836)Instructions burned: 1 (million)
% 0.21/0.51 % (28836)------------------------------
% 0.21/0.51 % (28836)------------------------------
% 0.21/0.51 % (28853)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)
% 0.21/0.51 % (28838)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)
% 0.21/0.52 % (28837)Instruction limit reached!
% 0.21/0.52 % (28837)------------------------------
% 0.21/0.52 % (28837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (28837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 TRYING [1]
% 0.21/0.52 % (28837)Termination reason: Unknown
% 0.21/0.52 % (28837)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (28837)Memory used [KB]: 5884
% 0.21/0.52 % (28837)Time elapsed: 0.104 s
% 0.21/0.52 % (28837)Instructions burned: 3 (million)
% 0.21/0.52 % (28837)------------------------------
% 0.21/0.52 % (28837)------------------------------
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (28845)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)
% 0.21/0.52 % (28855)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)
% 0.21/0.52 % (28830)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)
% 0.21/0.52 % (28830)Refutation not found, incomplete strategy% (28830)------------------------------
% 0.21/0.52 % (28830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (28830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (28830)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (28830)Memory used [KB]: 1279
% 0.21/0.52 % (28830)Time elapsed: 0.108 s
% 0.21/0.52 % (28830)------------------------------
% 0.21/0.52 % (28830)------------------------------
% 0.21/0.52 % (28845)Instruction limit reached!
% 0.21/0.52 % (28845)------------------------------
% 0.21/0.52 % (28845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (28845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (28845)Termination reason: Unknown
% 0.21/0.52 % (28845)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (28845)Memory used [KB]: 5756
% 0.21/0.52 % (28845)Time elapsed: 0.104 s
% 0.21/0.52 % (28845)Instructions burned: 2 (million)
% 0.21/0.52 % (28845)------------------------------
% 0.21/0.52 % (28845)------------------------------
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (28853)First to succeed.
% 0.21/0.53 % (28844)Instruction limit reached!
% 0.21/0.53 % (28844)------------------------------
% 0.21/0.53 % (28844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28851)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)
% 0.21/0.53 % (28853)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (28853)------------------------------
% 0.21/0.53 % (28853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (28853)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (28853)Memory used [KB]: 6012
% 0.21/0.53 % (28853)Time elapsed: 0.114 s
% 0.21/0.53 % (28853)Instructions burned: 9 (million)
% 0.21/0.53 % (28853)------------------------------
% 0.21/0.53 % (28853)------------------------------
% 0.21/0.53 % (28828)Success in time 0.171 s
%------------------------------------------------------------------------------