%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN212-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:07:02 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 15 unt; 5 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 34 ~; 29 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f128,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f369,negated_conjecture,
~ s4(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f591,definition,
( spl0_57
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f592,plain,
( n2(e)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ n2(e)
| spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f712,definition,
( spl0_87
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f1013,definition,
( spl0_163
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1014,plain,
( l1(e,e)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1015,plain,
( ~ l1(e,e)
| spl0_163 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1051,definition,
( spl0_172
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1097,definition,
( spl0_184
<=> p1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1099,plain,
( p1(e,e,e)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1100,plain,
( ~ spl0_172
| ~ spl0_87
| spl0_184 ),
inference(avatar_split_clause,[],[f128,f1097,f712,f1051]) ).
fof(f1283,plain,
spl0_172,
inference(avatar_split_clause,[],[f28,f1051]) ).
fof(f1288,plain,
spl0_87,
inference(avatar_split_clause,[],[f13,f712]) ).
fof(f1399,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f1427,plain,
( $false
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f1399,f1015]) ).
fof(f1428,plain,
spl0_163,
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1451,plain,
( ! [X0,X1] : ~ p1(X0,X1,e)
| spl0_57 ),
inference(resolution,[],[f175,f593]) ).
fof(f1464,plain,
( $false
| spl0_57
| ~ spl0_184 ),
inference(resolution,[],[f1451,f1099]) ).
fof(f1465,plain,
( spl0_57
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1475,plain,
( p3(e,e,e)
| ~ spl0_57 ),
inference(resolution,[],[f282,f592]) ).
fof(f1873,plain,
! [X2,X0,X1] :
( ~ p3(X0,X1,X2)
| ~ l1(e,X1) ),
inference(resolution,[],[f337,f369]) ).
fof(f2016,plain,
( ~ l1(e,e)
| ~ spl0_57 ),
inference(resolution,[],[f1873,f1475]) ).
fof(f2020,plain,
( $false
| ~ spl0_57
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2016,f1014]) ).
fof(f2021,plain,
( ~ spl0_57
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
cnf(s90,plain,
( ~ spl0_87
| ~ spl0_172
| spl0_184 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s123,plain,
spl0_172,
inference(sat_conversion,[],[f1283]) ).
cnf(s128,plain,
spl0_87,
inference(sat_conversion,[],[f1288]) ).
cnf(s187,plain,
spl0_163,
inference(sat_conversion,[],[f1428]) ).
cnf(s197,plain,
( spl0_57
| ~ spl0_184 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s251,plain,
( ~ spl0_57
| ~ spl0_163 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s253,plain,
~ spl0_57,
inference(rat,[],[s251,s187]) ).
cnf(s254,plain,
~ spl0_184,
inference(rat,[],[s197,s253]) ).
cnf(s294,plain,
$false,
inference(rat,[],[s90,s254,s123,s128]) ).
fof(f2022,plain,
$false,
inference(avatar_sat_refutation,[],[s294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN212-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:40:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (463336)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (463345)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=843938072:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (463342)% WARNING: option uhcvi not known.
% 0.20/0.29 % (463341)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3142039732_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (463342)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4156799664:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (463343)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1635583408:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (463344)dis+10_1_sil=32000:sp=arity:random_seed=2943365176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (463346)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1831588141:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (463347)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1738279999:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (463345) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-463336-463345"...
% 0.20/0.29 % (463345)...printing done.
% 0.20/0.29 % (463345)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (463345)------------------------------
% 0.20/0.29 % (463345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (463345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (463345)CaDiCaL version: 2.1.3
% 0.20/0.29 % (463345)Termination reason: Refutation
% 0.20/0.29 % (463345)Time elapsed: 0.016 s
% 0.20/0.29 % (463345)Peak memory usage: 13 MB
% 0.20/0.29 % (463345)Instructions burned: 46 (million)
% 0.20/0.29 % (463336)Success in time 0.047 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------