%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN282-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:50:05 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.17s
% Output : Refutation 2.72s
% 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 : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_117) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ q1(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f673,definition,
( spl0_86
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f674,plain,
( ~ k0(e)
| spl0_86 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f1166,definition,
( spl0_224
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f1167,plain,
( ~ s0(d)
| spl0_224 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1218,definition,
( spl0_239
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
fof(f1320,plain,
( q1(d,d,d)
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1321,plain,
( ~ spl0_224
| ~ spl0_86
| spl0_239 ),
inference(avatar_split_clause,[],[f155,f1218,f673,f1166]) ).
fof(f1413,plain,
( $false
| spl0_224 ),
inference(resolution,[],[f1167,f1]) ).
fof(f1414,plain,
spl0_224,
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1436,plain,
( $false
| spl0_86 ),
inference(resolution,[],[f28,f674]) ).
fof(f1437,plain,
spl0_86,
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1438,plain,
( $false
| ~ spl0_239 ),
inference(resolution,[],[f1320,f369]) ).
fof(f1439,plain,
~ spl0_239,
inference(avatar_contradiction_clause,[],[f1438]) ).
cnf(s143,plain,
( ~ spl0_86
| ~ spl0_224
| spl0_239 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s157,plain,
spl0_224,
inference(sat_conversion,[],[f1414]) ).
cnf(s168,plain,
spl0_86,
inference(sat_conversion,[],[f1437]) ).
cnf(s169,plain,
~ spl0_239,
inference(sat_conversion,[],[f1439]) ).
cnf(s175,plain,
$false,
inference(rat,[],[s143,s169,s157,s168]) ).
fof(f1440,plain,
$false,
inference(avatar_sat_refutation,[],[s175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN282-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n003.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:42:28 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.72/1.17 % (1714182)Input is clausal, will run a generic CNF schedule.
% 2.72/1.17 % (1714240)dis-21_1_sil=8000:lcm=predicate:random_seed=2242916203: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)
% 2.72/1.17 % (1714240)First to succeed.
% 2.72/1.17 % (1714240)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1714182"
% 2.72/1.17 % (1714239)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4083298809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.17 % (1714237)lrs+10_1_sil=8000:sp=occurrence:random_seed=3403727035:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.17 % (1714235)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2875771068:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.17 % (1714234)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=4088539502:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.17 % (1714236)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2426261419:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.17 % (1714238)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2038156041:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.17 % (1714237)Also succeeded, but the first one will report.
% 2.72/1.17 % (1714238)Also succeeded, but the first one will report.
% 2.72/1.17 % (1714239)Also succeeded, but the first one will report.
% 2.72/1.17 % (1714240)Refutation found. Thanks to Tanya!
% 2.72/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.17 % (1714240)------------------------------
% 2.72/1.17 % (1714240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.17 % (1714240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.17 % (1714240)CaDiCaL version: 2.1.3
% 2.72/1.17 % (1714240)Termination reason: Refutation
% 2.72/1.17 % (1714240)Time elapsed: 0.005 s
% 2.72/1.17 % (1714240)Peak memory usage: 90 MB
% 2.72/1.17 % (1714240)Instructions burned: 13 (million)
% 2.72/1.17 % (1714240)------------------------------
% 2.72/1.17 % (1714240)------------------------------
% 2.72/1.17 % (1714182)Success in time 0.293 s
% 2.72/1.17 % Vampire exiting
%------------------------------------------------------------------------------