TSTP Solution File: SYN082-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN082-1 : 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 : n004.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 19:25:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 38 ~; 37 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f25,f33,f36,f38,f40]) ).
fof(f40,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f14,f18]) ).
fof(f18,plain,
( big_f(a,b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_2
<=> big_f(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f14,plain,
( ! [X1] : ~ big_f(a,X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_1
<=> ! [X1] : ~ big_f(a,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f38,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f23,f14]) ).
fof(f23,plain,
( big_f(a,f(a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_3
<=> big_f(a,f(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f36,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f34,f18]) ).
fof(f34,plain,
( ~ big_f(a,b)
| spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f32,f22]) ).
fof(f22,plain,
( ~ big_f(a,f(a))
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f32,plain,
( ! [X0] :
( big_f(X0,f(a))
| ~ big_f(X0,b) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_5
<=> ! [X0] :
( big_f(X0,f(a))
| ~ big_f(X0,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f33,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f31,f13]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,f(a))
| ~ big_f(X0,b)
| ~ big_f(a,X1) ),
inference(subsumption_resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( big_f(g(X1),X1)
| big_f(X0,f(a))
| ~ big_f(X0,b)
| ~ big_f(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f6,axiom,
! [X0,X1] :
( ~ big_f(g(X1),X1)
| ~ big_f(X0,b)
| ~ big_f(a,X1)
| big_f(X0,f(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f25,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f11,f13,f21]) ).
fof(f11,plain,
! [X1] :
( ~ big_f(a,X1)
| ~ big_f(a,f(a)) ),
inference(subsumption_resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X1] :
( ~ big_f(g(X1),X1)
| ~ big_f(a,f(a))
| ~ big_f(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f5,axiom,
! [X1] :
( ~ big_f(a,f(a))
| big_f(g(X1),X1)
| ~ big_f(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f24,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f2,f21,f16]) ).
fof(f2,axiom,
( big_f(a,f(a))
| big_f(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 21:26:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (12187)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)
% 0.19/0.49 % (12187)First to succeed.
% 0.19/0.49 % (12179)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)
% 0.19/0.49 % (12182)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.49 % (12187)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (12187)------------------------------
% 0.19/0.49 % (12187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (12187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (12187)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (12187)Memory used [KB]: 5756
% 0.19/0.49 % (12187)Time elapsed: 0.095 s
% 0.19/0.49 % (12187)Instructions burned: 2 (million)
% 0.19/0.49 % (12187)------------------------------
% 0.19/0.49 % (12187)------------------------------
% 0.19/0.49 % (12177)Success in time 0.149 s
%------------------------------------------------------------------------------