%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN574-1 : 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 : n006.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 02:17:38 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 2 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 115 ( 56 ~; 57 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 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(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
! [X0] : p3(f4(f5(X0)),f4(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f4(c14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X0)
| p3(X0,X1)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X2,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0)
| ~ p9(c12,X0)
| ~ p2(X1,f5(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X0,c15)
| ~ p9(c12,X1)
| ~ p2(X2,f5(X0))
| ~ p9(f8(X1,X2),X1)
| ~ p9(f8(X1,X2),f4(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).
fof(f23,plain,
p9(c12,f4(c14)),
inference(resolution,[],[f10,f5]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p3(f4(f5(X0)),X1)
| p3(f4(X0),X1) ),
inference(resolution,[],[f16,f7]) ).
fof(f35,plain,
! [X0] : p3(f4(X0),f4(f5(X0))),
inference(resolution,[],[f31,f3]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p9(c12,X0)
| p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1))
| ~ p2(X1,f5(c14)) ),
inference(resolution,[],[f21,f6]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p2(X1,f5(c14))
| ~ p9(f8(X0,X1),X0)
| ~ p9(f8(X0,X1),f4(X1)) ),
inference(resolution,[],[f22,f6]) ).
fof(f67,plain,
! [X0] :
( ~ p2(X0,f5(c14))
| p9(f8(f4(c14),X0),f4(X0))
| p9(f8(f4(c14),X0),f4(c14)) ),
inference(resolution,[],[f46,f23]) ).
fof(f72,plain,
! [X0] :
( ~ p9(f8(f4(c14),X0),f4(c14))
| ~ p2(X0,f5(c14))
| ~ p9(f8(f4(c14),X0),f4(X0)) ),
inference(resolution,[],[f49,f23]) ).
fof(f104,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| p9(f8(f4(c14),f5(c14)),f4(c14)) ),
inference(resolution,[],[f67,f4]) ).
fof(f106,definition,
( spl0_3
<=> p9(f8(f4(c14),f5(c14)),f4(c14)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f107,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| spl0_3 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_4
<=> p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f111,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| spl0_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f104,f110,f106]) ).
fof(f115,plain,
( ! [X0,X1] :
( ~ p3(f4(c14),X1)
| p9(X0,X1)
| ~ p7(f8(f4(c14),f5(c14)),X0) )
| ~ spl0_3 ),
inference(resolution,[],[f108,f19]) ).
fof(f116,plain,
( ~ p2(f5(c14),f5(c14))
| ~ p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| ~ spl0_3 ),
inference(resolution,[],[f72,f108]) ).
fof(f117,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f116,f4]) ).
fof(f118,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f117,f106,f110]) ).
fof(f225,plain,
( ! [X0] :
( ~ p7(f8(f4(c14),f5(c14)),X0)
| p9(X0,f4(f5(c14))) )
| ~ spl0_3 ),
inference(resolution,[],[f115,f35]) ).
fof(f322,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| ~ spl0_3 ),
inference(resolution,[],[f225,f2]) ).
fof(f323,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f322,f111]) ).
fof(f324,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ p3(f4(f5(c14)),X1)
| p9(X0,X1)
| ~ p7(f8(f4(c14),f5(c14)),X0) )
| ~ spl0_4 ),
inference(resolution,[],[f112,f19]) ).
fof(f337,plain,
( ! [X0] :
( ~ p7(f8(f4(c14),f5(c14)),X0)
| p9(X0,f4(c14)) )
| ~ spl0_4 ),
inference(resolution,[],[f325,f7]) ).
fof(f347,plain,
( p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ spl0_4 ),
inference(resolution,[],[f337,f2]) ).
fof(f348,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f347,f107]) ).
fof(f349,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f348]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f118]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f324]) ).
cnf(s7,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f349]) ).
cnf(s10,plain,
spl0_3,
inference(rat,[],[s2,s7]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s6,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s11,s10]) ).
fof(f350,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN574-1 : 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 : n006.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:29:25 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
% 0.20/0.29 % (4098934)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (4098939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1984304182_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % TRYING [4]
% 0.20/0.29 % (4098940)% WARNING: option uhcvi not known.
% 0.20/0.29 % TRYING [5]
% 0.20/0.29 % (4098940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=35080624:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (4098941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2274481743:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (4098942)dis+10_1_sil=32000:sp=arity:random_seed=20277802:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (4098943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3617543787:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (4098944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=528432017:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % TRYING [6]
% 0.20/0.29 % (4098945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1426743401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % TRYING [7]
% 0.20/0.29 % (4098944) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4098934-4098944"...
% 0.20/0.29 % (4098940) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4098934-4098940"...
% 0.20/0.29 % (4098944)...printing done.
% 0.20/0.29 % (4098940)...printing done.
% 0.20/0.29 % (4098944)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (4098944)------------------------------
% 0.20/0.29 % (4098944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (4098944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (4098944)CaDiCaL version: 2.1.3
% 0.20/0.29 % (4098944)Termination reason: Refutation
% 0.20/0.29 % (4098944)Time elapsed: 0.007 s
% 0.20/0.29 % (4098944)Peak memory usage: 12 MB
% 0.20/0.29 % (4098944)Instructions burned: 9 (million)
% 0.20/0.29 % (4098934)Success in time 0.05 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------