%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN183-1 : 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 : n010.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 01:49:51 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.25s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 10 unt; 1 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f106,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).
fof(f362,axiom,
! [X0] :
( q5(X0,X0)
| ~ l4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_324) ).
fof(f369,negated_conjecture,
~ q5(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f553,definition,
( spl0_43
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f554,plain,
( n2(e)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( ~ n2(e)
| spl0_43 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f1136,plain,
~ l4(e),
inference(resolution,[],[f362,f369]) ).
fof(f1178,plain,
! [X0] :
( ~ k0(X0)
| n2(X0) ),
inference(resolution,[],[f175,f106]) ).
fof(f1186,plain,
n2(e),
inference(resolution,[],[f1178,f28]) ).
fof(f1188,plain,
( $false
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1186,f555]) ).
fof(f1189,plain,
spl0_43,
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1201,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[],[f315,f282]) ).
fof(f1203,plain,
( l4(e)
| ~ spl0_43 ),
inference(resolution,[],[f1201,f554]) ).
fof(f1205,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1203,f1136]) ).
fof(f1206,plain,
~ spl0_43,
inference(avatar_contradiction_clause,[],[f1205]) ).
cnf(s119,plain,
spl0_43,
inference(sat_conversion,[],[f1189]) ).
cnf(s122,plain,
~ spl0_43,
inference(sat_conversion,[],[f1206]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s119,s122]) ).
fof(f1207,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n010.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 15:38:02 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 3.64/1.25 % (2016464)Input is clausal, will run a generic CNF schedule.
% 3.64/1.25 % (2016552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2084032946:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.25 % (2016551)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=4146013373:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.25 % (2016555)lrs+10_1_sil=8000:sp=occurrence:random_seed=3388694010:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.25 % (2016553)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3172734183:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.25 % (2016557)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1537652667:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.25 % (2016556)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3296343131:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.25 % (2016555)First to succeed.
% 3.64/1.25 % (2016555)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2016464"
% 3.64/1.25 % (2016558)dis-21_1_sil=8000:lcm=predicate:random_seed=3167587637: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)
% 3.64/1.25 % (2016556)Also succeeded, but the first one will report.
% 3.64/1.25 % (2016557)Also succeeded, but the first one will report.
% 3.64/1.25 % (2016558)Also succeeded, but the first one will report.
% 3.64/1.25 % (2016555)Refutation found. Thanks to Tanya!
% 3.64/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.26 % (2016555)------------------------------
% 3.64/1.26 % (2016555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.26 % (2016555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.26 % (2016555)CaDiCaL version: 2.1.3
% 3.64/1.26 % (2016555)Termination reason: Refutation
% 3.64/1.26 % (2016555)Time elapsed: 0.010 s
% 3.64/1.26 % (2016555)Peak memory usage: 89 MB
% 3.64/1.26 % (2016555)Instructions burned: 13 (million)
% 3.64/1.26 % (2016555)------------------------------
% 3.64/1.26 % (2016555)------------------------------
% 3.64/1.26 % (2016464)Success in time 0.444 s
% 3.64/1.26 % Vampire exiting
%------------------------------------------------------------------------------