%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN227-1 : 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 : n016.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 01:49:58 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.90s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 3 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
fof(f369,negated_conjecture,
~ l3(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f717,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f718,plain,
( r0(b)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1099,definition,
( spl0_184
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1100,plain,
( k0(b)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1555,plain,
spl0_184,
inference(avatar_split_clause,[],[f32,f1099]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1565,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f717]) ).
fof(f1965,plain,
! [X0,X1] :
( l3(X1,X0)
| ~ r0(X1)
| ~ m1(X0,X1,X0) ),
inference(resolution,[],[f214,f253]) ).
fof(f2319,plain,
( ~ r0(b)
| ~ m1(c,b,c) ),
inference(resolution,[],[f1965,f369]) ).
fof(f2320,plain,
( ~ m1(c,b,c)
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2319,f718]) ).
fof(f2324,plain,
( ~ l0(c)
| ~ k0(b)
| ~ spl0_89 ),
inference(resolution,[],[f2320,f59]) ).
fof(f2326,plain,
( ~ k0(b)
| ~ spl0_89
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f2324,f901]) ).
fof(f2327,plain,
( $false
| ~ spl0_89
| ~ spl0_134
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f2326,f1100]) ).
fof(f2328,plain,
( ~ spl0_89
| ~ spl0_134
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f2327]) ).
cnf(s155,plain,
spl0_184,
inference(sat_conversion,[],[f1555]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1565]) ).
cnf(s339,plain,
( ~ spl0_89
| ~ spl0_134
| ~ spl0_184 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s352,plain,
~ spl0_184,
inference(rat,[],[s339,s165,s158]) ).
cnf(s355,plain,
$false,
inference(rat,[],[s155,s352]) ).
fof(f2329,plain,
$false,
inference(avatar_sat_refutation,[],[s355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN227-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:43:48 UTC 2026
% 0.08/0.19 % 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
% 0.20/0.90 % (3720075)Input is clausal, will run a generic CNF schedule.
% 0.20/0.90 % (3720089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1908906278:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/0.90 % (3720083)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=3081680550:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/0.90 % (3720086)lrs+10_1_sil=8000:sp=occurrence:random_seed=24353995:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/0.90 % (3720084)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=563485788:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/0.90 % (3720088)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3560219239:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/0.90 % (3720091)dis-21_1_sil=8000:lcm=predicate:random_seed=2810390295: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)
% 0.20/0.90 % (3720085)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1221189029:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/0.90 % (3720089)First to succeed.
% 0.20/0.90 % (3720089)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3720075"
% 0.20/0.90 % (3720086)Also succeeded, but the first one will report.
% 0.20/0.90 % (3720088)Also succeeded, but the first one will report.
% 0.20/0.90 % (3720091)Instruction limit reached!
% 0.20/0.90 % (3720091)------------------------------
% 0.20/0.90 % (3720091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/0.90 % (3720091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.90 % (3720091)CaDiCaL version: 2.1.3
% 0.20/0.90 % (3720091)Termination reason: Instruction limit
% 0.20/0.90 % (3720091)Termination phase: Saturation
% 0.20/0.90 % (3720091)Time elapsed: 0.055 s
% 0.20/0.90 % (3720091)Peak memory usage: 89 MB
% 0.20/0.90 % (3720091)Instructions burned: 117 (million)
% 0.20/0.90 % (3720089)Refutation found. Thanks to Tanya!
% 0.20/0.90 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.90 % (3720089)------------------------------
% 0.20/0.90 % (3720089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/0.90 % (3720089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.90 % (3720089)CaDiCaL version: 2.1.3
% 0.20/0.90 % (3720089)Termination reason: Refutation
% 0.20/0.90 % (3720089)Time elapsed: 0.015 s
% 0.20/0.90 % (3720089)Peak memory usage: 90 MB
% 0.20/0.90 % (3720089)Instructions burned: 42 (million)
% 0.20/0.90 % (3720089)------------------------------
% 0.20/0.90 % (3720089)------------------------------
% 0.20/0.90 % (3720075)Success in time 0.346 s
% 0.20/0.90 % Vampire exiting
%------------------------------------------------------------------------------