%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:17:37 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 14 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 42 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_7) ).
fof(f8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X0] : p3(f4(f5(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_15) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(X0,X1)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| ~ p3(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
fof(f23,plain,
p3(f4(c12),f4(f5(c15))),
inference(resolution,[],[f13,f8]) ).
fof(f29,plain,
! [X0,X1] :
( p7(X1,X0)
| ~ p7(X0,X1) ),
inference(resolution,[],[f15,f2]) ).
fof(f37,plain,
! [X0,X1] :
( p3(X1,X0)
| ~ p3(X0,X1) ),
inference(resolution,[],[f17,f4]) ).
fof(f59,plain,
! [X0] : p3(X0,f4(f5(X0))),
inference(resolution,[],[f37,f9]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p9(X0,X1)
| ~ p7(X1,f8(c13))
| ~ p3(X0,f4(c12)) ),
inference(resolution,[],[f19,f10]) ).
fof(f64,plain,
! [X0,X1] :
( p9(X0,X1)
| ~ p7(f8(c13),X1)
| ~ p3(c15,X0) ),
inference(resolution,[],[f19,f7]) ).
fof(f165,plain,
! [X0,X1] :
( ~ p7(X0,f8(c13))
| ~ p3(X1,f4(c12))
| ~ p7(f8(c13),X0)
| ~ p3(c15,X1) ),
inference(resolution,[],[f62,f64]) ).
fof(f167,plain,
! [X0,X1] :
( ~ p3(X1,f4(c12))
| ~ p7(f8(c13),X0)
| ~ p3(c15,X1) ),
inference(forward_subsumption_resolution,[],[f165,f29]) ).
fof(f169,definition,
( spl0_1
<=> ! [X0] : ~ p7(f8(c13),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f170,plain,
( ! [X0] : ~ p7(f8(c13),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,definition,
( spl0_2
<=> ! [X1] :
( ~ p3(X1,f4(c12))
| ~ p3(c15,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f173,plain,
( ! [X1] :
( ~ p3(X1,f4(c12))
| ~ p3(c15,X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f167,f172,f169]) ).
fof(f197,plain,
( ! [X0] :
( ~ p3(f4(c12),X0)
| ~ p3(c15,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f173,f37]) ).
fof(f224,plain,
( ~ p3(c15,f4(f5(c15)))
| ~ spl0_2 ),
inference(resolution,[],[f197,f23]) ).
fof(f229,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f224,f59]) ).
fof(f230,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f274,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f170,f2]) ).
fof(f279,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f274]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f174]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f230]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f279]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:29:39 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.27 % (2381918)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (2381927)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3585958730:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.27 % (2381924)% WARNING: option uhcvi not known.
% 0.09/0.27 % (2381927) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2381918-2381927"...
% 0.09/0.27 % (2381927)...printing done.
% 0.09/0.27 % (2381924)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3231105935:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.27 % (2381923)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1280803138_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27 % (2381927)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (2381927)------------------------------
% 0.09/0.27 % (2381927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (2381927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (2381927)CaDiCaL version: 2.1.3
% 0.09/0.27 % (2381927)Termination reason: Refutation
% 0.09/0.27 % (2381927)Time elapsed: 0.005 s
% 0.09/0.27 % (2381927)Peak memory usage: 12 MB
% 0.09/0.27 % (2381927)Instructions burned: 16 (million)
% 0.09/0.27 % (2381918)Success in time 0.03 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------