%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN177-1 : 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 3.95s 1.37s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f369,negated_conjecture,
! [X0] : ~ q3(X0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f394,definition,
( spl0_5
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f395,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f467,definition,
( spl0_23
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f468,plain,
( ! [X2,X0,X1] :
( ~ m0(X1,X0,X2)
| l1(X0,X1)
| ~ p0(X2,X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl0_5
| spl0_23 ),
inference(avatar_split_clause,[],[f41,f467,f394]) ).
fof(f947,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f395,f9]) ).
fof(f950,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f1636,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| ~ n0(X0,X0)
| q3(X0,X1) ),
inference(resolution,[],[f293,f224]) ).
fof(f1693,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ spl0_23 ),
inference(resolution,[],[f468,f27]) ).
fof(f1742,plain,
( l1(b,e)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1693,f18]) ).
fof(f3375,plain,
( ~ n0(e,e)
| q3(e,b)
| ~ spl0_23 ),
inference(resolution,[],[f1636,f1742]) ).
fof(f3377,plain,
( q3(e,b)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f3375,f30]) ).
fof(f3379,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f3377,f369]) ).
fof(f3380,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f3379]) ).
cnf(s12,plain,
( spl0_5
| spl0_23 ),
inference(sat_conversion,[],[f469]) ).
cnf(s81,plain,
~ spl0_5,
inference(sat_conversion,[],[f950]) ).
cnf(s221,plain,
~ spl0_23,
inference(sat_conversion,[],[f3380]) ).
cnf(s275,plain,
$false,
inference(rat,[],[s12,s221,s81]) ).
fof(f3381,plain,
$false,
inference(avatar_sat_refutation,[],[s275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN177-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n010.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 15:38:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.95/1.37 % (2017321)Input is clausal, will run a generic CNF schedule.
% 3.95/1.37 % (2017392)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=1724076612:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.95/1.37 % (2017395)lrs+10_1_sil=8000:sp=occurrence:random_seed=146417079:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.95/1.37 % (2017394)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=828557162:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.95/1.37 % (2017393)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3923401795:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.95/1.37 % (2017399)dis-21_1_sil=8000:lcm=predicate:random_seed=2408014667: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)
% 3.95/1.37 % (2017396)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=461980631:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.95/1.37 % (2017398)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=272335461:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.95/1.37 % (2017395)First to succeed.
% 3.95/1.37 % (2017395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2017321"
% 3.95/1.37 % (2017396)Also succeeded, but the first one will report.
% 3.95/1.37 % (2017398)Also succeeded, but the first one will report.
% 3.95/1.37 % (2017399)Instruction limit reached!
% 3.95/1.37 % (2017399)------------------------------
% 3.95/1.37 % (2017399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.37 % (2017399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.37 % (2017399)CaDiCaL version: 2.1.3
% 3.95/1.37 % (2017399)Termination reason: Instruction limit
% 3.95/1.37 % (2017399)Termination phase: Saturation
% 3.95/1.37 % (2017399)Time elapsed: 0.057 s
% 3.95/1.37 % (2017399)Peak memory usage: 89 MB
% 3.95/1.37 % (2017399)Instructions burned: 118 (million)
% 3.95/1.37 % (2017452)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2223197504:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.95/1.37 % (2017452)Refutation not found, incomplete strategy
% 3.95/1.37 % (2017452)------------------------------
% 3.95/1.37 % (2017452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.37 % (2017452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.37 % (2017452)CaDiCaL version: 2.1.3
% 3.95/1.37 % (2017452)Termination reason: Refutation not found, incomplete strategy
% 3.95/1.37 % (2017452)Time elapsed: 0.003 s
% 3.95/1.37 % (2017452)Peak memory usage: 87 MB
% 3.95/1.37 % (2017452)Instructions burned: 3 (million)
% 3.95/1.37 % (2017395)Refutation found. Thanks to Tanya!
% 3.95/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.95/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.95/1.37 % (2017395)------------------------------
% 3.95/1.37 % (2017395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.37 % (2017395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.37 % (2017395)CaDiCaL version: 2.1.3
% 3.95/1.37 % (2017395)Termination reason: Refutation
% 3.95/1.37 % (2017395)Time elapsed: 0.035 s
% 3.95/1.37 % (2017395)Peak memory usage: 90 MB
% 3.95/1.37 % (2017395)Instructions burned: 50 (million)
% 3.95/1.37 % (2017395)------------------------------
% 3.95/1.37 % (2017395)------------------------------
% 3.95/1.37 % (2017321)Success in time 0.492 s
% 3.95/1.37 % Vampire exiting
%------------------------------------------------------------------------------