%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN085-1.010 : 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 : n001.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 01:49:38 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.16s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 71 ( 35 unt; 11 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 108 ( 45 ~; 52 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 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_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_goal_1) ).
fof(f2,axiom,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_1) ).
fof(f3,axiom,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_2) ).
fof(f4,axiom,
p_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_3) ).
fof(f5,axiom,
p_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_4) ).
fof(f6,axiom,
p_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_5) ).
fof(f7,axiom,
p_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_6) ).
fof(f8,axiom,
p_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_7) ).
fof(f9,axiom,
p_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_8) ).
fof(f10,axiom,
p_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_9) ).
fof(f11,axiom,
p_9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_10) ).
fof(f12,axiom,
p_10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_11) ).
fof(f14,definition,
( spl0_1
<=> p_10 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f15,plain,
( ~ p_10
| spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,definition,
( spl0_2
<=> p_9 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( ~ p_9
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,definition,
( spl0_3
<=> p_8 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f21,plain,
( ~ p_8
| spl0_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,definition,
( spl0_4
<=> p_7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( ~ p_7
| spl0_4 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,definition,
( spl0_5
<=> p_6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f27,plain,
( ~ p_6
| spl0_5 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f29,definition,
( spl0_6
<=> p_5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f30,plain,
( ~ p_5
| spl0_6 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,definition,
( spl0_7
<=> p_4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f33,plain,
( ~ p_4
| spl0_7 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,definition,
( spl0_8
<=> p_3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f36,plain,
( ~ p_3
| spl0_8 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,definition,
( spl0_9
<=> p_2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f39,plain,
( ~ p_2
| spl0_9 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,definition,
( spl0_10
<=> p_1 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f42,plain,
( ~ p_1
| spl0_10 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl0_11
<=> p_0 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f45,plain,
( p_0
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f2,f44,f41,f38,f35,f32,f29,f26,f23,f20,f17,f14]) ).
fof(f47,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f15,f12]) ).
fof(f48,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f49,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f18,f11]) ).
fof(f50,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f51,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f21,f10]) ).
fof(f52,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f53,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f24,f9]) ).
fof(f54,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f55,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f27,f8]) ).
fof(f56,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f57,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f30,f7]) ).
fof(f58,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f59,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f33,f6]) ).
fof(f60,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f61,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f36,f5]) ).
fof(f62,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f63,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f39,f4]) ).
fof(f64,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f65,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f42,f3]) ).
fof(f66,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f67,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f45,f1]) ).
fof(f68,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f67]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f52]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f54]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f56]) ).
cnf(s7,plain,
spl0_6,
inference(sat_conversion,[],[f58]) ).
cnf(s8,plain,
spl0_7,
inference(sat_conversion,[],[f60]) ).
cnf(s9,plain,
spl0_8,
inference(sat_conversion,[],[f62]) ).
cnf(s10,plain,
spl0_9,
inference(sat_conversion,[],[f64]) ).
cnf(s11,plain,
spl0_10,
inference(sat_conversion,[],[f66]) ).
cnf(s12,plain,
~ spl0_11,
inference(sat_conversion,[],[f68]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s12,s11,s10,s9,s8,s7,s6,s5,s4,s3,s2]) ).
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.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 15:38:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.73/1.16 % (437451)Input is clausal, will run a generic CNF schedule.
% 2.73/1.16 % (437460)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1244088605:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.16 % (437460)First to succeed.
% 2.73/1.16 % (437460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-437451"
% 2.73/1.16 % (437456)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=589621143:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.16 % (437459)lrs+10_1_sil=8000:sp=occurrence:random_seed=21666532:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.16 % (437458)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2530729819:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.16 % (437457)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2774305717:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.16 % (437459)Also succeeded, but the first one will report.
% 2.73/1.16 % (437461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1377239491:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.16 % (437462)dis-21_1_sil=8000:lcm=predicate:random_seed=2407846050: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)
% 2.73/1.16 % (437462)Also succeeded, but the first one will report.
% 2.73/1.16 % (437461)Also succeeded, but the first one will report.
% 2.73/1.16 % (437460)Refutation found. Thanks to Tanya!
% 2.73/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.16 % (437460)------------------------------
% 2.73/1.16 % (437460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.16 % (437460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.16 % (437460)CaDiCaL version: 2.1.3
% 2.73/1.16 % (437460)Termination reason: Refutation
% 2.73/1.16 % (437460)Time elapsed: 0.001 s
% 2.73/1.16 % (437460)Peak memory usage: 88 MB
% 2.73/1.16 % (437460)Instructions burned: 1 (million)
% 2.73/1.16 % (437460)------------------------------
% 2.73/1.16 % (437460)------------------------------
% 2.73/1.16 % (437451)Success in time 0.291 s
% 2.73/1.16 % Vampire exiting
%------------------------------------------------------------------------------