TSTP Solution File: LCL043-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL043-1 : 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_sat --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 17:46:40 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f105,f107]) ).
fof(f107,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f34,f11]) ).
fof(f11,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f7,f10,f9,f8]) ).
fof(f8,plain,
not(a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
not(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
implies(sF1,a) = sF2,
introduced(function_definition,[]) ).
fof(f7,axiom,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_39) ).
fof(f34,plain,
( is_a_theorem(sF2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl3_3
<=> is_a_theorem(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f105,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| spl3_10 ),
inference(resolution,[],[f98,f12]) ).
fof(f12,plain,
is_a_theorem(implies(a,sF2)),
inference(superposition,[],[f3,f10]) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f98,plain,
( ~ is_a_theorem(implies(a,sF2))
| spl3_10 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl3_10
<=> is_a_theorem(implies(a,sF2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f99,plain,
( spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f89,f96,f32]) ).
fof(f89,plain,
( ~ is_a_theorem(implies(a,sF2))
| is_a_theorem(sF2) ),
inference(resolution,[],[f85,f15]) ).
fof(f15,plain,
is_a_theorem(implies(sF0,sF2)),
inference(superposition,[],[f14,f10]) ).
fof(f14,plain,
! [X1] : is_a_theorem(implies(sF0,implies(sF1,X1))),
inference(superposition,[],[f2,f9]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f85,plain,
! [X0] :
( ~ is_a_theorem(implies(sF0,X0))
| ~ is_a_theorem(implies(a,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f71,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(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(sF0,X0),X0))
| ~ is_a_theorem(implies(a,X0)) ),
inference(resolution,[],[f68,f1]) ).
fof(f68,plain,
! [X0] : is_a_theorem(implies(implies(a,X0),implies(implies(sF0,X0),X0))),
inference(superposition,[],[f6,f8]) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 01:30:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.55 % (30719)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 % (30711)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.56 % (30703)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (30707)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (30707)First to succeed.
% 0.21/0.56 % (30715)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (30703)Instruction limit reached!
% 0.21/0.56 % (30703)------------------------------
% 0.21/0.56 % (30703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (30723)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.57 % (30707)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (30707)------------------------------
% 0.21/0.57 % (30707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (30707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (30707)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (30707)Memory used [KB]: 5500
% 0.21/0.57 % (30707)Time elapsed: 0.135 s
% 0.21/0.57 % (30707)Instructions burned: 3 (million)
% 0.21/0.57 % (30707)------------------------------
% 0.21/0.57 % (30707)------------------------------
% 0.21/0.57 % (30695)Success in time 0.216 s
%------------------------------------------------------------------------------