%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN270-1 : 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 : n006.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 01:50:03 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.09s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 12 unt; 1 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 37 ~; 34 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ p0(X2,X1)
| m1(X0,X1,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_007) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X3)
| n1(X0,X0,X1)
| ~ m0(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_059) ).
fof(f190,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X1,X0)
| ~ n1(X2,X1,X2)
| ~ p0(X0,X1)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_152) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).
fof(f323,axiom,
! [X0,X1] :
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_285) ).
fof(f369,negated_conjecture,
~ p4(b,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f664,plain,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ r0(X0) ),
inference(resolution,[],[f45,f14]) ).
fof(f670,plain,
! [X0,X1] :
( p2(X1,X0,X1)
| ~ r0(X0) ),
inference(resolution,[],[f664,f214]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| n1(X0,X0,X1) ),
inference(resolution,[],[f97,f19]) ).
fof(f782,definition,
( spl0_47
<=> n1(b,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f783,plain,
( ~ n1(b,b,b)
| spl0_47 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( n1(b,b,b)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ p0(X2,X1)
| p2(X2,X1,X1)
| ~ r0(X1) ),
inference(resolution,[],[f190,f670]) ).
fof(f870,plain,
! [X0,X1] : n1(X0,X0,X1),
inference(resolution,[],[f689,f19]) ).
fof(f1065,plain,
( ! [X0] :
( ~ p0(X0,b)
| p2(X0,b,b)
| ~ r0(b) )
| ~ spl0_47 ),
inference(resolution,[],[f823,f784]) ).
fof(f1076,plain,
( ! [X0] :
( p2(X0,b,b)
| ~ p0(X0,b) )
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1065,f9]) ).
fof(f1101,plain,
( ! [X0] :
( r3(X0,b,X0)
| ~ p0(X0,b) )
| ~ spl0_47 ),
inference(resolution,[],[f1076,f305]) ).
fof(f1142,plain,
( ! [X0] :
( ~ p0(X0,b)
| ~ r0(b)
| p4(b,b,X0) )
| ~ spl0_47 ),
inference(resolution,[],[f1101,f323]) ).
fof(f1143,plain,
( ! [X0] :
( p4(b,b,X0)
| ~ p0(X0,b) )
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1142,f9]) ).
fof(f1144,plain,
( ~ p0(c,b)
| ~ spl0_47 ),
inference(resolution,[],[f1143,f369]) ).
fof(f1146,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1144,f18]) ).
fof(f1147,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1148,plain,
( $false
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f783,f870]) ).
fof(f1149,plain,
spl0_47,
inference(avatar_contradiction_clause,[],[f1148]) ).
cnf(s64,plain,
~ spl0_47,
inference(sat_conversion,[],[f1147]) ).
cnf(s65,plain,
spl0_47,
inference(sat_conversion,[],[f1149]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s64,s65]) ).
fof(f1154,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n006.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 15:40:00 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.56/1.09 % (4071405)Input is clausal, will run a generic CNF schedule.
% 2.56/1.09 % (4071534)lrs+10_1_sil=8000:sp=occurrence:random_seed=1596007910:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.09 % (4071534)First to succeed.
% 2.56/1.09 % (4071534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4071405"
% 2.56/1.09 % (4071531)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=3575389095:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.09 % (4071533)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1874103266:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.09 % (4071532)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2987047293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.09 % (4071535)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2457268420:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.09 % (4071536)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1566383316:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.09 % (4071537)dis-21_1_sil=8000:lcm=predicate:random_seed=1334779461: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)
% 2.56/1.09 % (4071535)Also succeeded, but the first one will report.
% 2.56/1.09 % (4071536)Also succeeded, but the first one will report.
% 2.56/1.09 % (4071537)Instruction limit reached!
% 2.56/1.09 % (4071537)------------------------------
% 2.56/1.09 % (4071537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.09 % (4071537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.09 % (4071537)CaDiCaL version: 2.1.3
% 2.56/1.09 % (4071537)Termination reason: Instruction limit
% 2.56/1.09 % (4071537)Termination phase: Saturation
% 2.56/1.09 % (4071537)Time elapsed: 0.055 s
% 2.56/1.09 % (4071537)Peak memory usage: 89 MB
% 2.56/1.09 % (4071537)Instructions burned: 119 (million)
% 2.56/1.09 % (4071534)Refutation found. Thanks to Tanya!
% 2.56/1.09 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.09 % (4071534)------------------------------
% 2.56/1.09 % (4071534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.09 % (4071534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.09 % (4071534)CaDiCaL version: 2.1.3
% 2.56/1.09 % (4071534)Termination reason: Refutation
% 2.56/1.09 % (4071534)Time elapsed: 0.006 s
% 2.56/1.09 % (4071534)Peak memory usage: 89 MB
% 2.56/1.09 % (4071534)Instructions burned: 14 (million)
% 2.56/1.09 % (4071534)------------------------------
% 2.56/1.09 % (4071534)------------------------------
% 2.56/1.09 % (4071405)Success in time 0.288 s
% 2.56/1.09 % Vampire exiting
%------------------------------------------------------------------------------