%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN580-1 : 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 : n020.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 02:17:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 16 unt; 1 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 28 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 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(f3,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_8) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p11(X1,c16)
| p8(c12,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X1)
| p8(c12,X1,f3(X0))
| p9(c12,f6(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X0)
| p8(c12,X0,f3(X1))
| ~ p8(c12,f6(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p2(X3,X2)
| p8(X0,X1,X2)
| ~ p4(X4,X1)
| ~ p7(X5,X0)
| ~ p8(X5,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_23) ).
fof(f43,plain,
! [X0] :
( ~ p2(c14,X0)
| p2(f3(c15),X0) ),
inference(resolution,[],[f15,f7]) ).
fof(f47,plain,
p2(f3(c15),c14),
inference(resolution,[],[f43,f4]) ).
fof(f55,plain,
! [X0] :
( p9(c12,f6(X0))
| p8(c12,c13,f3(X0)) ),
inference(resolution,[],[f18,f6]) ).
fof(f65,plain,
! [X0] :
( ~ p8(c12,f6(X0),X0)
| p8(c12,c13,f3(X0)) ),
inference(resolution,[],[f22,f6]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ p4(X2,X1)
| p8(X0,X1,c14)
| ~ p7(X3,X0)
| ~ p8(X3,X2,f3(c15)) ),
inference(resolution,[],[f23,f47]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p11(X1,c16)
| p8(c12,c13,f3(X0))
| p8(c12,f6(X0),X1) ),
inference(resolution,[],[f55,f16]) ).
fof(f135,plain,
! [X0] :
( p8(c12,c13,f3(X0))
| p8(c12,f6(X0),c15) ),
inference(resolution,[],[f84,f5]) ).
fof(f154,definition,
( spl0_1
<=> p8(c12,c13,f3(c15)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f156,plain,
( p8(c12,c13,f3(c15))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ p7(X2,X0)
| p8(X0,X1,c14)
| ~ p8(X2,X1,f3(c15)) ),
inference(resolution,[],[f73,f3]) ).
fof(f381,plain,
! [X0,X1] :
( ~ p8(X0,X1,f3(c15))
| p8(X0,X1,c14) ),
inference(resolution,[],[f319,f2]) ).
fof(f383,plain,
( p8(c12,c13,c14)
| p8(c12,f6(c15),c15) ),
inference(resolution,[],[f381,f135]) ).
fof(f385,plain,
p8(c12,f6(c15),c15),
inference(forward_subsumption_resolution,[],[f383,f8]) ).
fof(f404,plain,
p8(c12,c13,f3(c15)),
inference(resolution,[],[f385,f65]) ).
fof(f405,plain,
spl0_1,
inference(avatar_split_clause,[],[f404,f154]) ).
fof(f412,plain,
( p8(c12,c13,c14)
| ~ spl0_1 ),
inference(resolution,[],[f156,f381]) ).
fof(f413,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f412,f8]) ).
fof(f414,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f413]) ).
cnf(s9,plain,
spl0_1,
inference(sat_conversion,[],[f405]) ).
cnf(s10,plain,
~ spl0_1,
inference(sat_conversion,[],[f414]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s9,s10]) ).
fof(f415,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n020.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 16:31:04 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.26 % (291737)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (291742)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2737414386_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % TRYING [4]
% 0.09/0.26 % TRYING [5]
% 0.09/0.26 % TRYING [6]
% 0.09/0.26 % (291743)% WARNING: option uhcvi not known.
% 0.09/0.26 % TRYING [7]
% 0.09/0.26 % (291745)dis+10_1_sil=32000:sp=arity:random_seed=3659535536:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (291744)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3195738081:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (291746)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3923656499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (291748)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4275986940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (291747)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1817336923:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % TRYING [8]
% 0.09/0.26 % (291743)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2800147644:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % TRYING [9]
% 0.09/0.26 % TRYING [10]
% 0.09/0.26 % (291747) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-291737-291747"...
% 0.09/0.26 % (291747)...printing done.
% 0.09/0.26 % (291747)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (291747)------------------------------
% 0.09/0.26 % (291747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (291747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (291747)CaDiCaL version: 2.1.3
% 0.09/0.26 % (291747)Termination reason: Refutation
% 0.09/0.26 % (291747)Time elapsed: 0.011 s
% 0.09/0.26 % (291747)Peak memory usage: 12 MB
% 0.09/0.26 % (291747)Instructions burned: 15 (million)
% 0.09/0.26 % (291737)Success in time 0.044 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------