%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN592-1 : 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 0.11s 0.24s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 14 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 31 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
fof(f12,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X3,X2)
| ~ p3(X2,X1)
| ~ p7(X3,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3))
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
fof(f27,negated_conjecture,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(f6(X0),c17))
| p11(c13,f4(c17,f6(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).
fof(f40,plain,
p2(f6(c18),f5(c18)),
inference(resolution,[],[f22,f11]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ p2(X1,X2)
| p3(f4(X0,X1),f4(X0,X2)) ),
inference(resolution,[],[f26,f4]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(f6(c18),X0),f4(f5(c18),X1)) ),
inference(resolution,[],[f26,f40]) ).
fof(f64,plain,
( p11(c13,f4(f6(c18),c17))
| p11(c13,f4(c17,f6(c18))) ),
inference(resolution,[],[f27,f11]) ).
fof(f66,definition,
( spl0_1
<=> p11(c13,f4(c17,f6(c18))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f68,plain,
( p11(c13,f4(c17,f6(c18)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f70,definition,
( spl0_2
<=> p11(c13,f4(f6(c18),c17)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( p11(c13,f4(f6(c18),c17))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f64,f70,f66]) ).
fof(f78,plain,
( ! [X0,X1] :
( ~ p3(f4(f6(c18),c17),X0)
| ~ p7(c13,X1)
| p11(X1,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f72,f25]) ).
fof(f97,plain,
! [X0] : p3(f4(X0,f6(c18)),f4(X0,f5(c18))),
inference(resolution,[],[f58,f40]) ).
fof(f120,plain,
! [X0] : p3(f4(f6(c18),X0),f4(f5(c18),X0)),
inference(resolution,[],[f59,f4]) ).
fof(f160,plain,
( ! [X0] :
( ~ p7(c13,X0)
| p11(X0,f4(f5(c18),c17)) )
| ~ spl0_2 ),
inference(resolution,[],[f120,f78]) ).
fof(f166,plain,
( p11(c13,f4(f5(c18),c17))
| ~ spl0_2 ),
inference(resolution,[],[f160,f3]) ).
fof(f167,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f166,f13]) ).
fof(f168,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ p3(f4(c17,f6(c18)),X0)
| ~ p7(c13,X1)
| p11(X1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f68,f25]) ).
fof(f170,plain,
( ! [X0] :
( ~ p7(c13,X0)
| p11(X0,f4(c17,f5(c18))) )
| ~ spl0_1 ),
inference(resolution,[],[f169,f97]) ).
fof(f172,plain,
( p11(c13,f4(c17,f5(c18)))
| ~ spl0_1 ),
inference(resolution,[],[f170,f3]) ).
fof(f173,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f172,f12]) ).
fof(f174,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f173]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f73]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f168]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f174]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.16 % Computer : n018.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 16:33:40 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 Running first-order model finding
% 0.11/0.18 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
% 0.11/0.24 % (3527494)Will run a generic schedule for satisfiability detection.
% 0.11/0.24 % (3527501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1288348556:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.24 % (3527500)% WARNING: option uhcvi not known.
% 0.11/0.24 % (3527499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=731348541_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.24 % (3527500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4076315413:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.24 % (3527502)dis+10_1_sil=32000:sp=arity:random_seed=4186431046:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.24 % (3527503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2771001944:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.24 % (3527505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3879130718:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.24 % (3527504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1853415080:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.24 % TRYING [1]
% 0.11/0.24 % TRYING [2]
% 0.11/0.24 % TRYING [3]
% 0.11/0.24 % (3527504) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3527494-3527504"...
% 0.11/0.24 % (3527504)...printing done.
% 0.11/0.24 % (3527500) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3527494-3527500"...
% 0.11/0.24 % (3527500)...printing done.
% 0.11/0.24 % (3527504)Refutation found. Thanks to Tanya!
% 0.11/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.24 % (3527504)------------------------------
% 0.11/0.24 % (3527504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.24 % (3527504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.24 % (3527504)CaDiCaL version: 2.1.3
% 0.11/0.24 % (3527504)Termination reason: Refutation
% 0.11/0.24 % (3527504)Time elapsed: 0.004 s
% 0.11/0.24 % (3527504)Peak memory usage: 12 MB
% 0.11/0.24 % (3527504)Instructions burned: 4 (million)
% 0.11/0.24 % (3527494)Success in time 0.044 s
% 0.11/0.24 % Vampire exiting
%------------------------------------------------------------------------------