%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN256-1 : 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 : n004.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 01:50:02 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.28s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 2 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f102,axiom,
! [X2,X0,X1] :
( p1(X0,X0,X0)
| ~ m0(X1,X2,b)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_064) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f369,negated_conjecture,
~ n2(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f438,definition,
( spl0_16
<=> ! [X2,X1] : ~ m0(X1,X2,b) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f439,plain,
( ! [X2,X1] : ~ m0(X1,X2,b)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,definition,
( spl0_17
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f442,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ l0(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f102,f441,f438]) ).
fof(f874,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f439,f19]) ).
fof(f875,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f945,plain,
( ! [X0] :
( ~ l0(X0)
| n2(X0) )
| ~ spl0_17 ),
inference(resolution,[],[f442,f175]) ).
fof(f948,plain,
( n2(c)
| ~ spl0_17 ),
inference(resolution,[],[f945,f24]) ).
fof(f949,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f948,f369]) ).
fof(f950,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f949]) ).
cnf(s9,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f443]) ).
cnf(s77,plain,
~ spl0_16,
inference(sat_conversion,[],[f875]) ).
cnf(s98,plain,
~ spl0_17,
inference(sat_conversion,[],[f950]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s9,s98,s77]) ).
fof(f951,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n004.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 15:38:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.24 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
% 3.51/1.28 % (476605)Input is clausal, will run a generic CNF schedule.
% 3.51/1.28 % (476706)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=3580255111:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.28 % (476709)lrs+10_1_sil=8000:sp=occurrence:random_seed=2944024572:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.28 % (476707)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=69124574:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.28 % (476710)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=224310109:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.28 % (476708)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=982023169:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.28 % (476709)First to succeed.
% 3.51/1.28 % (476709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-476605"
% 3.51/1.28 % (476712)dis-21_1_sil=8000:lcm=predicate:random_seed=1706278078: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)
% 3.51/1.28 % (476711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3422481933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.28 % (476710)Also succeeded, but the first one will report.
% 3.51/1.28 % (476711)Also succeeded, but the first one will report.
% 3.51/1.28 % (476712)Also succeeded, but the first one will report.
% 3.51/1.28 % (476709)Refutation found. Thanks to Tanya!
% 3.51/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.28 % (476709)------------------------------
% 3.51/1.28 % (476709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.28 % (476709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.28 % (476709)CaDiCaL version: 2.1.3
% 3.51/1.28 % (476709)Termination reason: Refutation
% 3.51/1.28 % (476709)Time elapsed: 0.009 s
% 3.51/1.28 % (476709)Peak memory usage: 89 MB
% 3.51/1.28 % (476709)Instructions burned: 11 (million)
% 3.51/1.28 % (476709)------------------------------
% 3.51/1.28 % (476709)------------------------------
% 3.51/1.28 % (476605)Success in time 0.408 s
% 3.51/1.28 % Vampire exiting
%------------------------------------------------------------------------------