%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN107-1 : 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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 11 unt; 3 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 10 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f530,definition,
( spl0_42
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f531,plain,
( q1(d,d,d)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f856,definition,
( spl0_123
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f1157,definition,
( spl0_198
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1160,plain,
( ~ spl0_123
| ~ spl0_198
| spl0_42 ),
inference(avatar_split_clause,[],[f155,f530,f1157,f856]) ).
fof(f1481,plain,
spl0_198,
inference(avatar_split_clause,[],[f28,f1157]) ).
fof(f1492,plain,
spl0_123,
inference(avatar_split_clause,[],[f1,f856]) ).
fof(f1792,plain,
( k2(d,d)
| ~ spl0_42 ),
inference(resolution,[],[f167,f531]) ).
fof(f1800,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1792,f369]) ).
fof(f1801,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f1800]) ).
cnf(s92,plain,
( spl0_42
| ~ spl0_123
| ~ spl0_198 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s144,plain,
spl0_198,
inference(sat_conversion,[],[f1481]) ).
cnf(s155,plain,
spl0_123,
inference(sat_conversion,[],[f1492]) ).
cnf(s231,plain,
~ spl0_42,
inference(sat_conversion,[],[f1801]) ).
cnf(s291,plain,
$false,
inference(rat,[],[s92,s144,s155,s231]) ).
fof(f1802,plain,
$false,
inference(avatar_sat_refutation,[],[s291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n002.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:36:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.21/0.27 % (458288)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (458298)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1744160234:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (458294)% WARNING: option uhcvi not known.
% 0.21/0.27 % (458293)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=897948011_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (458294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=411145425:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (458296)dis+10_1_sil=32000:sp=arity:random_seed=1227693272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (458297)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1533921781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (458295)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=772680477:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (458299)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3161645383:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % (458298) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458288-458298"...
% 0.21/0.27 % (458298)...printing done.
% 0.21/0.27 % (458298)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (458298)------------------------------
% 0.21/0.27 % (458298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (458298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (458298)CaDiCaL version: 2.1.3
% 0.21/0.27 % (458298)Termination reason: Refutation
% 0.21/0.27 % (458298)Time elapsed: 0.008 s
% 0.21/0.27 % (458298)Peak memory usage: 13 MB
% 0.21/0.27 % (458298)Instructions burned: 20 (million)
% 0.21/0.27 % (458288)Success in time 0.045 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------