%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:17:40 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 14 unt; 3 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f4,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ p14(X0,X1)
| p15(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_5) ).
fof(f7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_7) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_13) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_16) ).
fof(f17,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_17) ).
fof(f25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p14_27) ).
fof(f31,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolution,[],[f7,f5]) ).
fof(f41,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[],[f16,f13]) ).
fof(f43,definition,
( spl0_1
<=> p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f47,definition,
( spl0_2
<=> p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f49,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f41,f47,f43]) ).
fof(f77,plain,
( ! [X0] :
( ~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X0)
| p2(c19,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f49,f15]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p14(X0,f3(f4(f5(c17))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(resolution,[],[f27,f31]) ).
fof(f87,definition,
( spl0_3
<=> ! [X0,X1] :
( ~ p14(X0,f3(f4(f5(c17))))
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( ! [X0,X1] :
( ~ p14(X0,f3(f4(f5(c17))))
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f85,f87,f43]) ).
fof(f158,plain,
( p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ spl0_2 ),
inference(resolution,[],[f77,f1]) ).
fof(f159,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f158,f17]) ).
fof(f160,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f252,plain,
( ! [X0] : ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ spl0_3 ),
inference(resolution,[],[f88,f4]) ).
fof(f253,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f252,f25]) ).
fof(f254,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f253]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f50]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f89]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f160]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f254]) ).
cnf(s5,plain,
~ spl0_1,
inference(rat,[],[s2,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f255,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:33:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.24 % (3526674)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (3526684)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2829506224:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.24 % (3526684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3526674-3526684"...
% 0.07/0.24 % (3526684)...printing done.
% 0.07/0.24 % (3526680)% WARNING: option uhcvi not known.
% 0.07/0.24 % (3526684)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (3526684)------------------------------
% 0.07/0.24 % (3526684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (3526684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (3526684)CaDiCaL version: 2.1.3
% 0.07/0.24 % (3526684)Termination reason: Refutation
% 0.07/0.24 % (3526684)Time elapsed: 0.003 s
% 0.07/0.24 % (3526684)Peak memory usage: 12 MB
% 0.07/0.24 % (3526684)Instructions burned: 8 (million)
% 0.07/0.24 % (3526674)Success in time 0.029 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------