%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN113-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:06:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 12 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).
fof(f144,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_106) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
~ k2(e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f373,plain,
! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
inference(global_subsumption,[],[f144]) ).
fof(f422,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f707,plain,
! [X0] :
( k2(X0,X0)
| ~ s0(X0) ),
inference(resolution,[],[f167,f373]) ).
fof(f771,plain,
! [X0] : m1(X0,d,X0),
inference(resolution,[],[f43,f19]) ).
fof(f1757,plain,
! [X0,X1] :
( k2(X0,d)
| ~ k1(X1)
| ~ k2(X1,d) ),
inference(resolution,[],[f165,f771]) ).
fof(f1822,definition,
( spl0_168
<=> ! [X1] :
( ~ k1(X1)
| ~ k2(X1,d) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1823,plain,
( ! [X1] :
( ~ k2(X1,d)
| ~ k1(X1) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f1825,definition,
( spl0_169
<=> ! [X0] : k2(X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
fof(f1826,plain,
( ! [X0] : k2(X0,d)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f1827,plain,
( spl0_168
| spl0_169 ),
inference(avatar_split_clause,[],[f1757,f1825,f1822]) ).
fof(f1834,plain,
( ~ k1(d)
| ~ s0(d)
| ~ spl0_168 ),
inference(resolution,[],[f1823,f707]) ).
fof(f1835,plain,
( ~ s0(d)
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f1834,f422]) ).
fof(f1838,plain,
( $false
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f1835,f1]) ).
fof(f1839,plain,
~ spl0_168,
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1840,plain,
( $false
| ~ spl0_169 ),
inference(resolution,[],[f1826,f369]) ).
fof(f1843,plain,
~ spl0_169,
inference(avatar_contradiction_clause,[],[f1840]) ).
cnf(s1559,plain,
( spl0_168
| spl0_169 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s1567,plain,
~ spl0_168,
inference(sat_conversion,[],[f1839]) ).
cnf(s1571,plain,
~ spl0_169,
inference(sat_conversion,[],[f1843]) ).
cnf(s1572,plain,
$false,
inference(rat,[],[s1559,s1571,s1567]) ).
fof(f1844,plain,
$false,
inference(avatar_sat_refutation,[],[s1572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN113-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n004.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:34:37 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.25 % (465414)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (465421)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3344083254:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (465420)% WARNING: option uhcvi not known.
% 0.10/0.25 % (465419)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1263382024_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % (465422)dis+10_1_sil=32000:sp=arity:random_seed=2206672958:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (465423)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4050578010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (465424)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1279861518:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (465425)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3823598868:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (465420)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2367390731:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.25 % (465421) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-465414-465421"...
% 0.10/0.25 % (465421)...printing done.
% 0.10/0.25 % (465421)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (465421)------------------------------
% 0.10/0.25 % (465421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (465421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (465421)CaDiCaL version: 2.1.3
% 0.10/0.25 % (465421)Termination reason: Refutation
% 0.10/0.25 % (465421)Time elapsed: 0.016 s
% 0.10/0.25 % (465421)Peak memory usage: 13 MB
% 0.10/0.25 % (465421)Instructions burned: 41 (million)
% 0.10/0.25 % (465414)Success in time 0.047 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------