%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:49:39 PM UTC 2026
% Result : Unsatisfiable 3.37s 1.28s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 10 unt; 6 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 25 ~; 26 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( u_1
| ~ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_goal_1) ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s2_goal_1) ).
fof(f5,axiom,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type11_2) ).
fof(f6,axiom,
( p_1_2
| ~ u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s2_type11_2) ).
fof(f21,axiom,
( u_11
| q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_2) ).
fof(f22,axiom,
( q_1_1
| ~ u_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_11_t2_2) ).
fof(f25,axiom,
( u_13
| q_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_4) ).
fof(f26,axiom,
( q_2_2
| ~ u_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_t2_4) ).
fof(f68,definition,
( spl0_4
<=> q_1_1 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f78,definition,
( spl0_6
<=> u_11 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f81,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f78,f68]) ).
fof(f82,plain,
( ~ spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f68,f78]) ).
fof(f84,definition,
( spl0_7
<=> q_2_2 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f94,definition,
( spl0_9
<=> u_13 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f97,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f25,f94,f84]) ).
fof(f98,plain,
( ~ spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f84,f94]) ).
fof(f132,definition,
( spl0_16
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f142,definition,
( spl0_18
<=> u_3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f145,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f5,f142,f132,f84,f68]) ).
fof(f146,plain,
( ~ spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f6,f132,f142]) ).
fof(f149,plain,
~ p_1_2,
inference(forward_subsumption_resolution,[],[f1,f2]) ).
fof(f150,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f149,f132]) ).
cnf(s5,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
( spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s9,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f97]) ).
cnf(s10,plain,
( spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f98]) ).
cnf(s21,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f145]) ).
cnf(s22,plain,
( spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f146]) ).
cnf(s25,plain,
~ spl0_16,
inference(sat_conversion,[],[f150]) ).
cnf(s26,plain,
~ spl0_18,
inference(rat,[],[s22,s25]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(rat,[],[s21,s26,s25]) ).
cnf(s30,plain,
spl0_4,
inference(rat,[],[s5,s6]) ).
cnf(s31,plain,
~ spl0_7,
inference(rat,[],[s27,s30]) ).
cnf(s32,plain,
~ spl0_9,
inference(rat,[],[s10,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s9,s32,s31]) ).
fof(f151,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:36:32 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.28 % (2720610)Input is clausal, will run a generic CNF schedule.
% 3.37/1.28 % (2720626)lrs+10_1_sil=8000:sp=occurrence:random_seed=104836332:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.28 % (2720626)First to succeed.
% 3.37/1.28 % (2720626)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2720610"
% 3.37/1.28 % (2720628)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1478597345:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.28 % (2720628)Also succeeded, but the first one will report.
% 3.37/1.28 % (2720623)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=3862524911:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.28 % (2720625)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2905513634:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.28 % (2720627)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2014409713:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.28 % (2720624)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1624532494:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.28 % (2720627)Refutation not found, incomplete strategy
% 3.37/1.28 % (2720627)------------------------------
% 3.37/1.28 % (2720627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.28 % (2720627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.28 % (2720627)CaDiCaL version: 2.1.3
% 3.37/1.28 % (2720627)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.28 % (2720627)Time elapsed: 0.001 s
% 3.37/1.28 % (2720627)Peak memory usage: 86 MB
% 3.37/1.28 % (2720630)dis-21_1_sil=8000:lcm=predicate:random_seed=1856659407: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)
% 3.37/1.28 % (2720630)Also succeeded, but the first one will report.
% 3.37/1.28 % (2720626)Refutation found. Thanks to Tanya!
% 3.37/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.28 % (2720626)------------------------------
% 3.37/1.28 % (2720626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.28 % (2720626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.28 % (2720626)CaDiCaL version: 2.1.3
% 3.37/1.28 % (2720626)Termination reason: Refutation
% 3.37/1.28 % (2720626)Time elapsed: 0.002 s
% 3.37/1.28 % (2720626)Peak memory usage: 88 MB
% 3.37/1.28 % (2720626)Instructions burned: 1 (million)
% 3.37/1.28 % (2720626)------------------------------
% 3.37/1.28 % (2720626)------------------------------
% 3.37/1.28 % (2720610)Success in time 0.416 s
% 3.37/1.28 % Vampire exiting
%------------------------------------------------------------------------------