%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN277-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:50:04 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 3 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 12 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
fof(f369,negated_conjecture,
! [X0] : ~ q1(X0,X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f454,definition,
( spl0_25
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f556,definition,
( spl0_55
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f557,plain,
( ~ s0(d)
| spl0_55 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1024,definition,
( spl0_188
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1025,plain,
( ~ k0(e)
| spl0_188 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1091,plain,
( q1(d,d,d)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1092,plain,
( ~ spl0_55
| ~ spl0_188
| spl0_25 ),
inference(avatar_split_clause,[],[f155,f454,f1024,f556]) ).
fof(f1389,plain,
( $false
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f557,f1]) ).
fof(f1390,plain,
spl0_55,
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1391,plain,
( $false
| spl0_188 ),
inference(forward_subsumption_resolution,[],[f1025,f28]) ).
fof(f1392,plain,
spl0_188,
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1393,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1091,f369]) ).
fof(f1394,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f1393]) ).
cnf(s103,plain,
( spl0_25
| ~ spl0_55
| ~ spl0_188 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s153,plain,
spl0_55,
inference(sat_conversion,[],[f1390]) ).
cnf(s154,plain,
spl0_188,
inference(sat_conversion,[],[f1392]) ).
cnf(s155,plain,
~ spl0_25,
inference(sat_conversion,[],[f1394]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s103,s154,s153,s155]) ).
fof(f1395,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN277-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.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 15:40:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.21/1.40 % (4106603)Input is clausal, will run a generic CNF schedule.
% 0.21/1.40 % (4106721)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=322476076:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.40 % (4106721)First to succeed.
% 0.21/1.40 % (4106721)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4106603"
% 0.21/1.40 % (4106718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3401588537:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.40 % (4106722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=977304059:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.40 % (4106717)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=574714789:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.40 % (4106719)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1212128942:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.40 % (4106720)lrs+10_1_sil=8000:sp=occurrence:random_seed=3024129832:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.40 % (4106723)dis-21_1_sil=8000:lcm=predicate:random_seed=467808181: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)
% 0.21/1.40 % (4106720)Also succeeded, but the first one will report.
% 0.21/1.40 % (4106722)Also succeeded, but the first one will report.
% 0.21/1.40 % (4106723)Also succeeded, but the first one will report.
% 0.21/1.40 % (4106721)Refutation found. Thanks to Tanya!
% 0.21/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.40 % (4106721)------------------------------
% 0.21/1.40 % (4106721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.40 % (4106721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.40 % (4106721)CaDiCaL version: 2.1.3
% 0.21/1.40 % (4106721)Termination reason: Refutation
% 0.21/1.40 % (4106721)Time elapsed: 0.009 s
% 0.21/1.40 % (4106721)Peak memory usage: 89 MB
% 0.21/1.40 % (4106721)Instructions burned: 10 (million)
% 0.21/1.40 % (4106721)------------------------------
% 0.21/1.40 % (4106721)------------------------------
% 0.21/1.40 % (4106603)Success in time 0.465 s
% 0.21/1.40 % Vampire exiting
%------------------------------------------------------------------------------