%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN209-1 : 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 : 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 02:07:01 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.33s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| s4(X0)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f369,negated_conjecture,
~ s4(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f464,plain,
l1(b,b),
inference(resolution,[],[f40,f7]) ).
fof(f483,definition,
( spl0_19
<=> ! [X0] : p1(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f484,plain,
( ! [X0] : p1(X0,X0,X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f498,definition,
( spl0_21
<=> ! [X0] : n2(X0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f499,plain,
( ! [X0] : n2(X0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f637,plain,
( ! [X0] : n2(X0)
| ~ spl0_19 ),
inference(resolution,[],[f484,f175]) ).
fof(f1006,plain,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(global_subsumption,[],[f282]) ).
fof(f1008,plain,
( spl0_21
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f637,f483,f498]) ).
fof(f1056,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1058,plain,
spl0_19,
inference(avatar_split_clause,[],[f1056,f483]) ).
fof(f1178,plain,
! [X0,X1] :
( s4(X0)
| ~ l1(X0,X1)
| ~ n2(X1) ),
inference(resolution,[],[f337,f1006]) ).
fof(f1179,plain,
( ! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) )
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1178,f499]) ).
fof(f1192,plain,
( s4(b)
| ~ spl0_21 ),
inference(resolution,[],[f1179,f464]) ).
fof(f1194,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1192,f369]) ).
fof(f1195,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f1194]) ).
cnf(s943,plain,
( ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s991,plain,
spl0_19,
inference(sat_conversion,[],[f1058]) ).
cnf(s1097,plain,
~ spl0_21,
inference(sat_conversion,[],[f1195]) ).
cnf(s1103,plain,
$false,
inference(rat,[],[s943,s1097,s991]) ).
fof(f1196,plain,
$false,
inference(avatar_sat_refutation,[],[s1103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN209-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % 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 15:43:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 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
% 0.23/0.33 % (3718494)Will run a generic schedule for satisfiability detection.
% 0.23/0.33 % (3718501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1189318109:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.33 % (3718500)% WARNING: option uhcvi not known.
% 0.23/0.33 % (3718505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2912769983:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.33 % (3718503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3624969289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.33 % (3718499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3808011014_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.33 % (3718502)dis+10_1_sil=32000:sp=arity:random_seed=3546752132:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.33 % (3718504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=347635861:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.33 % (3718500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2760141859:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.33 % (3718501) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3718494-3718501"...
% 0.23/0.33 % (3718501)...printing done.
% 0.23/0.33 % (3718501)Refutation found. Thanks to Tanya!
% 0.23/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.33 % (3718501)------------------------------
% 0.23/0.33 % (3718501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3718501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3718501)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3718501)Termination reason: Refutation
% 0.23/0.33 % (3718501)Time elapsed: 0.018 s
% 0.23/0.33 % (3718501)Peak memory usage: 13 MB
% 0.23/0.33 % (3718501)Instructions burned: 28 (million)
% 0.23/0.33 % (3718494)Success in time 0.067 s
% 0.23/0.33 % Vampire exiting
%------------------------------------------------------------------------------