TSTP Solution File: SYN070+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN070+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 : n009.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 19:36:47 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 4 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 233 ( 96 ~; 86 |; 34 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 66 ( 57 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f40,f44,f57,f69]) ).
fof(f69,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f67,f64]) ).
fof(f64,plain,
( ! [X2,X1] : big_h(X1,X2)
| ~ spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f63,f43]) ).
fof(f43,plain,
( ! [X1] : ~ big_g(X1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_4
<=> ! [X1] : ~ big_g(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f63,plain,
( ! [X2,X1] :
( big_g(X2)
| big_h(X1,X2) )
| ~ spl2_3 ),
inference(resolution,[],[f22,f39]) ).
fof(f39,plain,
( ! [X1] : big_f(X1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl2_3
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(X0)
| big_h(X1,X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( big_g(X0)
| ( big_f(X1)
& big_h(X1,X0)
& ~ big_g(X1) )
| ~ big_f(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( big_g(X1)
| ( big_f(X0)
& big_h(X0,X1)
& ~ big_g(X0) )
| ~ big_f(X1) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( big_g(X1)
| ( ~ big_g(X0)
& big_h(X0,X1)
& big_f(X0) )
| ~ big_f(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( ( ( ( big_h(X0,X1)
& big_f(X0) )
=> big_g(X0) )
& big_f(X1) )
=> big_g(X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( ( ( big_f(X1)
& big_h(X1,X0) )
=> big_g(X1) )
& big_f(X0) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
fof(f67,plain,
( ! [X0] : ~ big_h(X0,sK0)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f66,f39]) ).
fof(f66,plain,
( ! [X0] :
( ~ big_f(sK0)
| ~ big_h(X0,sK0) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f65,f39]) ).
fof(f65,plain,
( ! [X0] :
( ~ big_f(X0)
| ~ big_h(X0,sK0)
| ~ big_f(sK0) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f24,f60]) ).
fof(f60,plain,
( ! [X0] : big_j(sK0,X0)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f58,f43]) ).
fof(f58,plain,
( ! [X2] :
( big_g(X2)
| big_j(sK0,X2) )
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f32,f39]) ).
fof(f32,plain,
( ! [X2] :
( big_j(sK0,X2)
| big_g(X2)
| ~ big_f(X2) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl2_1
<=> ! [X2] :
( ~ big_f(X2)
| big_g(X2)
| big_j(sK0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f24,plain,
! [X0,X1] :
( ~ big_j(X0,X1)
| ~ big_h(X1,X0)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_f(X0)
| ~ big_h(X1,X0)
| ~ big_j(X0,X1)
| ~ big_f(X1) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ~ big_f(X1)
| ~ big_h(X0,X1)
| ~ big_j(X1,X0)
| ~ big_f(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ~ big_j(X1,X0)
| ~ big_f(X1)
| ~ big_f(X0)
| ~ big_h(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( big_f(X1)
& big_f(X0)
& big_h(X0,X1) )
=> ~ big_j(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
fof(f57,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f55,f28]) ).
fof(f28,plain,
~ big_g(sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( big_f(sK1)
& ~ big_g(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f19]) ).
fof(f19,plain,
( ? [X0] :
( big_f(X0)
& ~ big_g(X0) )
=> ( big_f(sK1)
& ~ big_g(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0] :
( big_f(X0)
& ~ big_g(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( big_f(X0)
=> big_g(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( big_f(X0)
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(f55,plain,
( big_g(sK1)
| ~ spl2_2 ),
inference(resolution,[],[f35,f29]) ).
fof(f29,plain,
big_f(sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f35,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl2_2
<=> ! [X0] :
( ~ big_f(X0)
| big_g(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f44,plain,
( spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f21,f42,f34]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_g(X1)
| ~ big_f(X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f23,f34,f38]) ).
fof(f23,plain,
! [X0,X1] :
( big_g(X0)
| big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f27,f34,f31]) ).
fof(f27,plain,
! [X2,X0] :
( ~ big_f(X0)
| ~ big_f(X2)
| big_j(sK0,X2)
| big_g(X0)
| big_g(X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0) )
| ( ! [X2] :
( big_g(X2)
| big_j(sK0,X2)
| ~ big_f(X2) )
& ~ big_g(sK0)
& big_f(sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f17]) ).
fof(f17,plain,
( ? [X1] :
( ! [X2] :
( big_g(X2)
| big_j(X1,X2)
| ~ big_f(X2) )
& ~ big_g(X1)
& big_f(X1) )
=> ( ! [X2] :
( big_g(X2)
| big_j(sK0,X2)
| ~ big_f(X2) )
& ~ big_g(sK0)
& big_f(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0) )
| ? [X1] :
( ! [X2] :
( big_g(X2)
| big_j(X1,X2)
| ~ big_f(X2) )
& ~ big_g(X1)
& big_f(X1) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ? [X1] :
( big_f(X1)
& ~ big_g(X1)
& ! [X2] :
( big_j(X1,X2)
| ~ big_f(X2)
| big_g(X2) ) )
| ! [X0] :
( ~ big_f(X0)
| big_g(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X0] :
( big_f(X0)
& ~ big_g(X0) )
=> ? [X1] :
( big_f(X1)
& ~ big_g(X1)
& ! [X2] :
( ( big_f(X2)
& ~ big_g(X2) )
=> big_j(X1,X2) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ? [X0] :
( big_f(X0)
& ~ big_g(X0) )
=> ? [X2] :
( ! [X1] :
( ( ~ big_g(X1)
& big_f(X1) )
=> big_j(X2,X1) )
& big_f(X2)
& ~ big_g(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:25:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (4567)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48 % (4578)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.49 % (4586)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.49 % (4567)Refutation not found, incomplete strategy% (4567)------------------------------
% 0.19/0.49 % (4567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4567)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (4567)Memory used [KB]: 5373
% 0.19/0.49 % (4567)Time elapsed: 0.096 s
% 0.19/0.49 % (4567)Instructions burned: 2 (million)
% 0.19/0.49 % (4567)------------------------------
% 0.19/0.49 % (4567)------------------------------
% 0.19/0.49 % (4586)First to succeed.
% 0.19/0.49 % (4568)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49 % (4576)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49 % (4586)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (4586)------------------------------
% 0.19/0.49 % (4586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4586)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (4586)Memory used [KB]: 5373
% 0.19/0.49 % (4586)Time elapsed: 0.101 s
% 0.19/0.49 % (4586)Instructions burned: 1 (million)
% 0.19/0.49 % (4586)------------------------------
% 0.19/0.49 % (4586)------------------------------
% 0.19/0.49 % (4565)Success in time 0.155 s
%------------------------------------------------------------------------------