%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:48:48 PM UTC 2026
% Result : Unsatisfiable 2.23s 0.87s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 78 ( 20 unt; 14 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 175 ( 81 ~; 80 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 29 ( 28 usr; 29 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,
( ~ p_1
| ~ q_1
| p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_1) ).
fof(f2,negated_conjecture,
( ~ p_2
| ~ q_2
| p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_2) ).
fof(f3,negated_conjecture,
( ~ p_3
| ~ q_3
| p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_3) ).
fof(f4,negated_conjecture,
( ~ p_4
| ~ q_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_4) ).
fof(f5,negated_conjecture,
( ~ p_5
| ~ q_5
| p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_5) ).
fof(f6,negated_conjecture,
( ~ p_6
| ~ q_6
| p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_6) ).
fof(f7,negated_conjecture,
( ~ p_1
| ~ q_1
| q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_1) ).
fof(f8,negated_conjecture,
( ~ p_2
| ~ q_2
| q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_2) ).
fof(f9,negated_conjecture,
( ~ p_3
| ~ q_3
| q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_3) ).
fof(f10,negated_conjecture,
( ~ p_4
| ~ q_4
| q_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_4) ).
fof(f11,negated_conjecture,
( ~ p_5
| ~ q_5
| q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_5) ).
fof(f12,negated_conjecture,
( ~ p_6
| ~ q_6
| q_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_6) ).
fof(f13,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_1) ).
fof(f14,negated_conjecture,
q_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_2) ).
fof(f15,negated_conjecture,
( ~ p_7
| ~ q_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_3) ).
fof(f17,definition,
( spl0_1
<=> q_7 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f20,definition,
( spl0_2
<=> p_7 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f20,f17]) ).
fof(f25,definition,
( spl0_3
<=> q_6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f28,definition,
( spl0_4
<=> p_6 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f30,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f12,f28,f25,f17]) ).
fof(f33,definition,
( spl0_5
<=> q_5 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f36,definition,
( spl0_6
<=> p_5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f38,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f11,f36,f33,f25]) ).
fof(f41,definition,
( spl0_7
<=> q_4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f44,definition,
( spl0_8
<=> p_4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f46,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f10,f44,f41,f33]) ).
fof(f49,definition,
( spl0_9
<=> q_3 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f52,definition,
( spl0_10
<=> p_3 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f54,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f9,f52,f49,f41]) ).
fof(f57,definition,
( spl0_11
<=> q_2 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f60,definition,
( spl0_12
<=> p_2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f62,plain,
( spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f8,f60,f57,f49]) ).
fof(f65,definition,
( spl0_13
<=> q_1 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f66,plain,
( ~ q_1
| spl0_13 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,definition,
( spl0_14
<=> p_1 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f69,plain,
( ~ p_1
| spl0_14 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f70,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f7,f68,f65,f57]) ).
fof(f72,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f28,f25,f20]) ).
fof(f74,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f5,f36,f33,f28]) ).
fof(f76,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4,f44,f41,f36]) ).
fof(f78,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3,f52,f49,f44]) ).
fof(f80,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2,f60,f57,f52]) ).
fof(f82,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1,f68,f65,f60]) ).
fof(f83,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f69,f13]) ).
fof(f84,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f85,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f14,f66]) ).
fof(f86,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f85]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f46]) ).
cnf(s5,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f54]) ).
cnf(s6,plain,
( spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f62]) ).
cnf(s7,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f70]) ).
cnf(s8,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f72]) ).
cnf(s9,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f74]) ).
cnf(s10,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s11,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f78]) ).
cnf(s12,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f80]) ).
cnf(s13,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f82]) ).
cnf(s14,plain,
spl0_14,
inference(sat_conversion,[],[f84]) ).
cnf(s15,plain,
spl0_13,
inference(sat_conversion,[],[f86]) ).
cnf(s16,plain,
spl0_12,
inference(rat,[],[s13,s14,s15]) ).
cnf(s17,plain,
( spl0_10
| ~ spl0_11 ),
inference(rat,[],[s12,s16]) ).
cnf(s18,plain,
spl0_11,
inference(rat,[],[s7,s14,s15]) ).
cnf(s19,plain,
spl0_10,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
spl0_9,
inference(rat,[],[s6,s16,s18]) ).
cnf(s21,plain,
spl0_8,
inference(rat,[],[s11,s19,s20]) ).
cnf(s22,plain,
spl0_7,
inference(rat,[],[s5,s19,s20]) ).
cnf(s23,plain,
spl0_6,
inference(rat,[],[s10,s21,s22]) ).
cnf(s24,plain,
spl0_5,
inference(rat,[],[s4,s21,s22]) ).
cnf(s25,plain,
spl0_4,
inference(rat,[],[s9,s23,s24]) ).
cnf(s26,plain,
spl0_3,
inference(rat,[],[s3,s23,s24]) ).
cnf(s27,plain,
spl0_2,
inference(rat,[],[s8,s25,s26]) ).
cnf(s28,plain,
spl0_1,
inference(rat,[],[s2,s25,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s27,s28]) ).
fof(f87,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.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 15:21:46 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.23/0.87 % (1693249)Input is clausal, will run a generic CNF schedule.
% 2.23/0.87 % (1693260)dis-21_1_sil=8000:lcm=predicate:random_seed=676707313: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)
% 2.23/0.87 % (1693260)First to succeed.
% 2.23/0.87 % (1693260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1693249"
% 2.23/0.87 % (1693259)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4278957558:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.23/0.87 % (1693254)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=3779925458:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.23/0.87 % (1693257)lrs+10_1_sil=8000:sp=occurrence:random_seed=2432216167:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.23/0.87 % (1693255)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=342396561:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.23/0.87 % (1693256)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1977471506:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.23/0.87 % (1693258)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1501138474:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.23/0.87 % (1693259)Also succeeded, but the first one will report.
% 2.23/0.87 % (1693257)Also succeeded, but the first one will report.
% 2.23/0.87 % (1693258)Also succeeded, but the first one will report.
% 2.23/0.87 % (1693260)Refutation found. Thanks to Tanya!
% 2.23/0.87 % SZS status Unsatisfiable for theBenchmark
% 2.23/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.87 % (1693260)------------------------------
% 2.23/0.87 % (1693260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/0.87 % (1693260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.87 % (1693260)CaDiCaL version: 2.1.3
% 2.23/0.87 % (1693260)Termination reason: Refutation
% 2.23/0.87 % (1693260)Time elapsed: 0.001 s
% 2.23/0.87 % (1693260)Peak memory usage: 89 MB
% 2.23/0.87 % (1693260)Instructions burned: 1 (million)
% 2.23/0.87 % (1693260)------------------------------
% 2.23/0.87 % (1693260)------------------------------
% 2.23/0.87 % (1693249)Success in time 0.258 s
% 2.23/0.87 % Vampire exiting
%------------------------------------------------------------------------------