%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:01:20 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.28s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 6 unt; 4 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 69 ( 32 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ r(X0)
| s(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_3) ).
fof(f2,negated_conjecture,
( r(sk1)
| r(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_4) ).
fof(f3,negated_conjecture,
( r(sk1)
| ~ r(sk2)
| ~ s(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_9) ).
fof(f4,negated_conjecture,
( r(sk2)
| ~ s(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_10) ).
fof(f5,negated_conjecture,
( ~ r(sk2)
| ~ s(sk1)
| ~ s(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_15) ).
fof(f7,definition,
( spl0_1
<=> s(sk2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ~ s(sk2)
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> s(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( ~ s(sk1)
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> r(sk2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f16,plain,
( r(sk2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5,f15,f11,f7]) ).
fof(f19,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f4,f15,f11]) ).
fof(f21,definition,
( spl0_4
<=> r(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f23,plain,
( r(sk1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f3,f21,f15,f7]) ).
fof(f25,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f2,f21,f15]) ).
fof(f26,plain,
( s(sk2)
| ~ spl0_3 ),
inference(resolution,[],[f1,f16]) ).
fof(f27,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f26,f9]) ).
fof(f28,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f29,plain,
( s(sk1)
| ~ spl0_4 ),
inference(resolution,[],[f23,f1]) ).
fof(f30,plain,
( $false
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f29,f13]) ).
fof(f31,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f30]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f31]) ).
cnf(s7,plain,
spl0_3,
inference(rat,[],[s6,s2,s4]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl0_4,
inference(rat,[],[s3,s7,s8]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s1,s7,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s6,s9,s10]) ).
fof(f32,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:49:15 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/1.28 % (3211944)Input is clausal, will run a generic CNF schedule.
% 3.64/1.28 % (3211949)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2938737666:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.28 % (3211954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=126046199:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.28 % (3211955)dis-21_1_sil=8000:lcm=predicate:random_seed=1791068882:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.64/1.28 % (3211950)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3468287786:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.28 % (3211951)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3805334264:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.28 % (3211953)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3331764995:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.28 % (3211952)lrs+10_1_sil=8000:sp=occurrence:random_seed=3563417619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.28 % (3211953)Also succeeded, but the first one will report.
% 3.64/1.28 % (3211955)Also succeeded, but the first one will report.
% 3.64/1.28 % (3211952)Also succeeded, but the first one will report.
% 3.64/1.28 % (3211954)First to succeed.
% 3.64/1.28 % (3211954)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3211944"
% 3.64/1.28 % (3211954)Refutation found. Thanks to Tanya!
% 3.64/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.29 % (3211954)------------------------------
% 3.64/1.29 % (3211954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.29 % (3211954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.29 % (3211954)CaDiCaL version: 2.1.3
% 3.64/1.29 % (3211954)Termination reason: Refutation
% 3.64/1.29 % (3211954)Time elapsed: 0.002 s
% 3.64/1.29 % (3211954)Peak memory usage: 89 MB
% 3.64/1.29 % (3211954)Instructions burned: 1 (million)
% 3.64/1.29 % (3211954)------------------------------
% 3.64/1.29 % (3211954)------------------------------
% 3.64/1.29 % (3211944)Success in time 0.439 s
% 3.64/1.29 % Vampire exiting
%------------------------------------------------------------------------------