%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:00:03 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 104 ( 58 ~; 40 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 31 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( $false
| ~ ! [X1] :
( ~ r1(X0,X1)
| $false
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( $false
| ~ ! [X1] :
( ~ r1(X0,X1)
| $false
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( $false
| ~ ! [X1] :
( ~ r1(X0,X1)
| $false
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
| ~ ! [X4] :
( ~ r1(X2,X4)
| p1(X4) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
| ~ ! [X4] :
( ~ r1(X2,X4)
| p1(X4) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f7,plain,
? [X0] :
! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
| ~ ! [X4] :
( ~ r1(X2,X4)
| p1(X4) ) ) ),
inference(flattening,[],[f6]) ).
fof(f10,plain,
? [X0] :
! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p1(X3) )
& ! [X4] :
( ~ r1(X2,X4)
| p1(X4) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
! [X1] :
( ~ r1(sK0,X1)
| ( r1(X1,sK1(X1))
& r1(sK1(X1),sK2(X1))
& ~ p1(sK2(X1))
& ! [X4] :
( ~ r1(sK1(X1),X4)
| p1(X4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X2,sK1(X1)),skolemize(X3,sK2(X1))],[f10]) ).
fof(f12,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X1,X4] :
( ~ r1(sK0,X1)
| ~ r1(sK1(X1),X4)
| p1(X4) ),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
! [X1] :
( ~ p1(sK2(X1))
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f16,plain,
! [X1] :
( ~ r1(sK0,X1)
| r1(sK1(X1),sK2(X1)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ~ r1(sK1(sK0),X0)
| p1(X0) ),
inference(resolution,[],[f12,f14]) ).
fof(f19,plain,
r1(sK1(sK0),sK2(sK0)),
inference(resolution,[],[f12,f16]) ).
fof(f27,plain,
p1(sK2(sK0)),
inference(resolution,[],[f18,f19]) ).
fof(f29,plain,
~ r1(sK0,sK0),
inference(resolution,[],[f27,f15]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 16:29:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (2784341)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (2784347)% WARNING: option uhcvi not known.
% 0.09/0.44 % (2784351)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3504221828:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (2784351) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2784341-2784351"...
% 0.09/0.44 % (2784351)...printing done.
% 0.09/0.44 % (2784351)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (2784351)------------------------------
% 0.09/0.44 % (2784351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (2784351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (2784351)CaDiCaL version: 2.1.3
% 0.09/0.44 % (2784351)Termination reason: Refutation
% 0.09/0.44 % (2784351)Time elapsed: 0.001 s
% 0.09/0.44 % (2784351)Peak memory usage: 11 MB
% 0.09/0.44 % (2784351)Instructions burned: 1 (million)
% 0.09/0.44 % (2784341)Success in time 0.033 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------