%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:00:06 PM UTC 2026
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 92 ( 51 ~; 27 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p201(X0)
& p101(X0) ) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p201(X0)
& p101(X0) ) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( p201(X2)
& p101(X2) ) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( p201(X2)
& p101(X2) ) ) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p201(X2)
| ~ p101(X2) ) )
& p201(X0)
& p101(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p201(X2)
| ~ p101(X2) ) )
& p201(X0)
& p101(X0) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p201(X2)
| ~ p101(X2) ) )
& p201(sK0)
& p101(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f10]) ).
fof(f12,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
p101(sK0),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
p201(sK0),
inference(cnf_transformation,[],[f11]) ).
fof(f16,plain,
! [X2,X1] :
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| ~ p201(X2)
| ~ p101(X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
( ~ r1(sK0,X0)
| ~ p201(X0)
| ~ p101(X0) ),
inference(resolution,[],[f12,f16]) ).
fof(f18,plain,
( ~ p201(sK0)
| ~ p101(sK0) ),
inference(resolution,[],[f17,f12]) ).
fof(f19,plain,
~ p101(sK0),
inference(forward_subsumption_resolution,[],[f18,f15]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n018.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 16:39:54 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.46 Running first-order model finding
% 0.13/0.46 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
% 0.22/0.50 % (2570487)Will run a generic schedule for satisfiability detection.
% 0.22/0.50 % (2570495)dis+10_1_sil=32000:sp=arity:random_seed=2260028629:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.50 % (2570495) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2570487-2570495"...
% 0.22/0.50 % (2570492)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4037593564_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.50 % (2570495)...printing done.
% 0.22/0.50 % Detected minimum model sizes of [1]
% 0.22/0.50 % Detected maximum model sizes of [1]
% 0.22/0.50 % TRYING [1]
% 0.22/0.50 % (2570492) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2570487-2570492"...
% 0.22/0.50 % (2570495)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (2570495)------------------------------
% 0.22/0.50 % (2570495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.50 % (2570495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.50 % (2570495)CaDiCaL version: 2.1.3
% 0.22/0.50 % (2570495)Termination reason: Refutation
% 0.22/0.50 % (2570495)Time elapsed: 0.001 s
% 0.22/0.50 % (2570495)Peak memory usage: 11 MB
% 0.22/0.50 % (2570487)Success in time 0.024 s
% 0.22/0.50 % Vampire exiting
%------------------------------------------------------------------------------