%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL646+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 : n014.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 11:59:11 AM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 269 ( 127 ~; 124 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 95 ( 76 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p4(X3) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] :
( ~ r1(X0,X8)
| p1(X8) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p4(X3) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] :
( ~ r1(X0,X8)
| p1(X8) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p4(X3) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] : ~ r1(X0,X8) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p4(X3) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ! [X6] : ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] : ~ r1(X0,X8) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p4(X3) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] : ~ r1(X0,X5)
| ! [X6] : ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] : ~ r1(X0,X8) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] : ~ r1(X0,X5)
| ! [X6] : ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] : ~ r1(X0,X8) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f9,plain,
? [X0] :
~ ( ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ! [X5] : ~ r1(X0,X5)
| ! [X6] : ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X8] : ~ r1(X0,X8) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f10,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
& ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
& ? [X5] : r1(X0,X5)
& ? [X6] : r1(X0,X6)
& ? [X7] :
( r1(X0,X7)
& ~ p2(X7) )
& ? [X8] : r1(X0,X8) ),
inference(ennf_transformation,[],[f9]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ? [X6] : r1(X0,X6) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| p2(X1) )
& ! [X2] :
( ~ r1(sK0,X2)
| p2(X2) )
& r1(sK0,sK1)
& r1(sK0,sK2)
& r1(sK0,sK3)
& ~ p2(sK3)
& r1(sK0,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X3,sK1),skolemize(X4,sK2),skolemize(X5,sK3),skolemize(X6,sK4)],[f11]) ).
fof(f14,plain,
~ p2(sK3),
inference(cnf_transformation,[],[f12]) ).
fof(f15,plain,
r1(sK0,sK3),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
! [X2] :
( ~ r1(sK0,X2)
| p2(X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
p2(sK3),
inference(resolution,[],[f18,f15]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 16:12:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.43 % (979943)Will run a generic schedule for satisfiability detection.
% 0.12/0.43 % (979950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2754383608:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.43 % (979950) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-979943-979950"...
% 0.12/0.43 % (979950)...printing done.
% 0.12/0.43 % (979950)Refutation found. Thanks to Tanya!
% 0.12/0.43 % SZS status Theorem for theBenchmark
% 0.12/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.43 % (979950)------------------------------
% 0.12/0.43 % (979950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.43 % (979950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.43 % (979950)CaDiCaL version: 2.1.3
% 0.12/0.43 % (979950)Termination reason: Refutation
% 0.12/0.43 % (979950)Time elapsed: 0.001 s
% 0.12/0.43 % (979950)Peak memory usage: 11 MB
% 0.12/0.43 % (979950)Instructions burned: 1 (million)
% 0.12/0.43 % (979943)Success in time 0.025 s
% 0.12/0.43 % Vampire exiting
%------------------------------------------------------------------------------