TSTP Solution File: SYN317+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN317+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n025.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 19:37:28 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 1 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 119 ( 46 ~; 46 |; 9 &)
% ( 9 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 17 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f40,f41,f43,f45,f47,f49]) ).
fof(f49,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f27,f17]) ).
fof(f17,plain,
( ! [X0] : ~ big_g(X0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl3_1
<=> ! [X0] : ~ big_g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f27,plain,
( big_g(sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl3_3
<=> big_g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f47,plain,
( ~ spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| ~ spl3_1
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f31,f17]) ).
fof(f31,plain,
( big_g(sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl3_4
<=> big_g(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f45,plain,
( ~ spl3_2
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl3_2
| spl3_6 ),
inference(subsumption_resolution,[],[f39,f20]) ).
fof(f20,plain,
( ! [X2] : big_f(X2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl3_2
<=> ! [X2] : big_f(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f39,plain,
( ~ big_f(sK2)
| spl3_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_6
<=> big_f(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f43,plain,
( ~ spl3_2
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| ~ spl3_2
| spl3_5 ),
inference(resolution,[],[f35,f20]) ).
fof(f35,plain,
( ~ big_f(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_5
<=> big_f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f41,plain,
( spl3_1
| spl3_1 ),
inference(avatar_split_clause,[],[f14,f16,f16]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_g(X1)
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X0] :
( ~ big_g(X0)
& big_f(X0) )
| ! [X1,X2] :
( ~ big_g(X1)
& big_f(X2) ) )
& ( big_g(sK0)
| ~ big_f(sK0)
| big_g(sK1)
| ~ big_f(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X3] :
( big_g(X3)
| ~ big_f(X3) )
=> ( big_g(sK0)
| ~ big_f(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X4,X5] :
( big_g(X4)
| ~ big_f(X5) )
=> ( big_g(sK1)
| ~ big_f(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0] :
( ~ big_g(X0)
& big_f(X0) )
| ! [X1,X2] :
( ~ big_g(X1)
& big_f(X2) ) )
& ( ? [X3] :
( big_g(X3)
| ~ big_f(X3) )
| ? [X4,X5] :
( big_g(X4)
| ~ big_f(X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X0] :
( ~ big_g(X0)
& big_f(X0) )
| ! [X1,X2] :
( ~ big_g(X1)
& big_f(X2) ) )
& ( ? [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ? [X1,X2] :
( big_g(X1)
| ~ big_f(X2) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X1,X2] :
( big_g(X1)
| ~ big_f(X2) )
<~> ? [X0] :
( big_g(X0)
| ~ big_f(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
( big_f(X0)
=> big_g(X0) )
<=> ? [X1,X2] :
( big_f(X2)
=> big_g(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( big_f(X0)
=> big_g(X0) )
<=> ? [X1,X0] :
( big_f(X0)
=> big_g(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( big_f(X0)
=> big_g(X0) )
<=> ? [X1,X0] :
( big_f(X0)
=> big_g(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_3) ).
fof(f40,plain,
( spl3_3
| spl3_4
| ~ spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f10,f37,f33,f29,f25]) ).
fof(f10,plain,
( ~ big_f(sK2)
| ~ big_f(sK0)
| big_g(sK1)
| big_g(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
( spl3_2
| spl3_2 ),
inference(avatar_split_clause,[],[f11,f19,f19]) ).
fof(f11,plain,
! [X2,X0] :
( big_f(X2)
| big_f(X0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN317+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % 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 : n025.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 21:51:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (26582)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 (3000ds/467Mi)
% 0.18/0.49 % (26567)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49 % (26567)Instruction limit reached!
% 0.18/0.49 % (26567)------------------------------
% 0.18/0.49 % (26567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26567)Termination reason: Unknown
% 0.18/0.49 % (26567)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (26567)Memory used [KB]: 895
% 0.18/0.49 % (26567)Time elapsed: 0.004 s
% 0.18/0.49 % (26567)Instructions burned: 2 (million)
% 0.18/0.49 % (26567)------------------------------
% 0.18/0.49 % (26567)------------------------------
% 0.18/0.49 % (26574)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 (3000ds/75Mi)
% 0.18/0.49 % (26582)First to succeed.
% 0.18/0.49 % (26574)Also succeeded, but the first one will report.
% 0.18/0.50 % (26582)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (26582)------------------------------
% 0.18/0.50 % (26582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (26582)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (26582)Memory used [KB]: 5373
% 0.18/0.50 % (26582)Time elapsed: 0.100 s
% 0.18/0.50 % (26582)Instructions burned: 1 (million)
% 0.18/0.50 % (26582)------------------------------
% 0.18/0.50 % (26582)------------------------------
% 0.18/0.50 % (26558)Success in time 0.149 s
%------------------------------------------------------------------------------