%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:07:17 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.37s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 6 unt; 4 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ f(a,X0)
| g(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ g(X0,X0)
| f(X0,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( f(a,b)
| g(a,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
( ~ f(a,b)
| ~ g(a,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,plain,
! [X0,X1] :
( ~ f(a,X0)
| ~ g(a,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f6,plain,
! [X0] :
( g(X0,X0)
| f(X0,b) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f7,plain,
! [X0] :
( f(a,b)
| ~ g(a,X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f8,plain,
( ~ f(a,b)
| g(a,d) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f10,definition,
( spl0_1
<=> g(a,d) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( g(a,d)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f14,definition,
( spl0_2
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( f(a,b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8,f14,f10]) ).
fof(f19,definition,
( spl0_3
<=> ! [X0] : ~ g(a,X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( ! [X0] : ~ g(a,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f21,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f14,f19]) ).
fof(f23,definition,
( spl0_4
<=> ! [X0] : ~ f(a,X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( ! [X0] : ~ f(a,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f25,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f5,f23,f19]) ).
fof(f26,plain,
( f(a,b)
| ~ spl0_3 ),
inference(resolution,[],[f6,f20]) ).
fof(f29,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f12,f20]) ).
fof(f30,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f29]) ).
fof(f31,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f26,f19,f14]) ).
fof(f32,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_subsumption_resolution,[],[f15,f24]) ).
fof(f33,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f32]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f31]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f33]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s2,s6]) ).
cnf(s9,plain,
~ spl0_4,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
spl0_1,
inference(rat,[],[s1,s8]) ).
cnf(s11,plain,
spl0_3,
inference(rat,[],[s3,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s11,s10]) ).
fof(f34,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.28 % Computer : n017.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 15:37:37 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.33 Running first-order model finding
% 0.23/0.33 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
% 0.23/0.37 % (3654134)Will run a generic schedule for satisfiability detection.
% 0.23/0.37 % (3654140)% WARNING: option uhcvi not known.
% 0.23/0.37 % (3654140)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=261573995:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.37 % (3654140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3654134-3654140"...
% 0.23/0.37 % (3654140)...printing done.
% 0.23/0.37 % (3654140)Refutation found. Thanks to Tanya!
% 0.23/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.37 % (3654140)------------------------------
% 0.23/0.37 % (3654140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (3654140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (3654140)CaDiCaL version: 2.1.3
% 0.23/0.37 % (3654140)Termination reason: Refutation
% 0.23/0.37 % (3654140)Time elapsed: 0.001 s
% 0.23/0.37 % (3654140)Peak memory usage: 12 MB
% 0.23/0.37 % (3654140)Instructions burned: 1 (million)
% 0.23/0.37 % (3654134)Success in time 0.024 s
% 0.23/0.37 % Vampire exiting
%------------------------------------------------------------------------------