TSTP Solution File: SYN069-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN069-1 : 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 : n011.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 19:25:25 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 138 ( 68 ~; 66 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f26,f42,f48,f53]) ).
fof(f53,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f51,f10]) ).
fof(f10,plain,
big_h(a,g(a)),
inference(resolution,[],[f9,f5]) ).
fof(f5,axiom,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f9,axiom,
! [X0] :
( ~ big_f(X0)
| big_h(X0,g(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f51,plain,
( ~ big_h(a,g(a))
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f50,f5]) ).
fof(f50,plain,
( ~ big_f(a)
| ~ big_h(a,g(a))
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f41,f18]) ).
fof(f18,plain,
( ! [X1] :
( big_g(f(X1))
| ~ big_f(X1)
| ~ big_h(X1,g(a)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_1
<=> ! [X1] :
( ~ big_f(X1)
| ~ big_h(X1,g(a))
| big_g(f(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f41,plain,
( ~ big_g(f(a))
| spl0_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_4
<=> big_g(f(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f48,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f46,f5]) ).
fof(f46,plain,
( ~ big_f(a)
| ~ spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f45,f37]) ).
fof(f37,plain,
( ~ big_h(a,f(a))
| spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_3
<=> big_h(a,f(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f45,plain,
( ~ big_f(a)
| big_h(a,f(a))
| ~ spl0_2 ),
inference(resolution,[],[f44,f10]) ).
fof(f44,plain,
( ! [X0] :
( ~ big_h(X0,g(a))
| big_h(X0,f(X0))
| ~ big_f(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14,f21]) ).
fof(f21,plain,
( big_g(g(a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_2
<=> big_g(g(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f14,plain,
! [X0] :
( big_h(X0,f(X0))
| ~ big_h(X0,g(a))
| ~ big_f(X0)
| ~ big_g(g(a)) ),
inference(resolution,[],[f13,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( big_k(X1)
| ~ big_g(X1)
| ~ big_f(X0)
| big_h(X0,f(X0))
| ~ big_h(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f13,plain,
~ big_k(g(a)),
inference(resolution,[],[f4,f11]) ).
fof(f11,plain,
big_l(g(a)),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ big_h(a,X0)
| big_l(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f4,axiom,
! [X0] :
( ~ big_l(X0)
| ~ big_k(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f42,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f39,f35]) ).
fof(f33,plain,
( ~ big_g(f(a))
| ~ big_h(a,f(a)) ),
inference(resolution,[],[f32,f7]) ).
fof(f7,axiom,
! [X0] :
( big_j(a,X0)
| ~ big_g(X0)
| ~ big_h(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f32,plain,
~ big_j(a,f(a)),
inference(subsumption_resolution,[],[f31,f5]) ).
fof(f31,plain,
( ~ big_j(a,f(a))
| ~ big_f(a) ),
inference(resolution,[],[f30,f10]) ).
fof(f30,plain,
! [X0] :
( ~ big_h(X0,g(a))
| ~ big_f(X0)
| ~ big_j(X0,f(X0)) ),
inference(subsumption_resolution,[],[f29,f13]) ).
fof(f29,plain,
! [X0] :
( ~ big_j(X0,f(X0))
| ~ big_h(X0,g(a))
| ~ big_f(X0)
| big_k(g(a)) ),
inference(resolution,[],[f12,f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(X1)
| ~ big_f(X0)
| ~ big_h(X0,g(X1))
| big_k(g(X1))
| ~ big_j(X0,f(X0)) ),
inference(resolution,[],[f3,f8]) ).
fof(f8,axiom,
! [X0] :
( big_g(g(X0))
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_g(X1)
| ~ big_h(X0,X1)
| big_k(X1)
| ~ big_f(X0)
| ~ big_j(X0,f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f26,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f24,f5]) ).
fof(f24,plain,
( ~ big_f(a)
| spl0_2 ),
inference(resolution,[],[f22,f8]) ).
fof(f22,plain,
( ~ big_g(g(a))
| spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f20,f17]) ).
fof(f15,plain,
! [X1] :
( ~ big_g(g(a))
| ~ big_f(X1)
| big_g(f(X1))
| ~ big_h(X1,g(a)) ),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( big_k(X1)
| ~ big_h(X0,X1)
| big_g(f(X0))
| ~ big_g(X1)
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 21:24:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (13431)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)
% 0.21/0.52 % (13434)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)
% 0.21/0.52 % (13439)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.52 % (13439)First to succeed.
% 0.21/0.52 % (13439)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (13439)------------------------------
% 0.21/0.52 % (13439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (13439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (13439)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (13439)Memory used [KB]: 5756
% 0.21/0.52 % (13439)Time elapsed: 0.085 s
% 0.21/0.52 % (13439)Instructions burned: 2 (million)
% 0.21/0.52 % (13439)------------------------------
% 0.21/0.52 % (13439)------------------------------
% 0.21/0.52 % (13427)Success in time 0.147 s
%------------------------------------------------------------------------------