%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS095+1 : TPTP v9.3.1. Released v3.1.0.
% 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 11:42:15 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 50 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 52 ( 19 ~; 13 |; 14 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1,X2] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
& ! [X1,X2] :
( ( rr(X0,X1)
& rr(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_20_14253),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f15,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1,X2] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
& ! [X3,X4] :
( ( rr(X0,X3)
& rr(X0,X4) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f12]) ).
fof(f34,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1,X2] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1,X2] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(flattening,[],[f34]) ).
fof(f50,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK2(X0) != sK3(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f51,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f52,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X3,X0,X4] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(cnf_transformation,[],[f14]) ).
fof(f69,plain,
rr(i2003_11_14_17_20_14253,sK3(i2003_11_14_17_20_14253)),
inference(resolution,[],[f51,f58]) ).
fof(f70,plain,
rr(i2003_11_14_17_20_14253,sK2(i2003_11_14_17_20_14253)),
inference(resolution,[],[f52,f58]) ).
fof(f71,plain,
sK3(i2003_11_14_17_20_14253) != sK2(i2003_11_14_17_20_14253),
inference(resolution,[],[f50,f58]) ).
fof(f72,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_14253,X0)
| ~ rr(i2003_11_14_17_20_14253,X1)
| X0 = X1 ),
inference(resolution,[],[f56,f58]) ).
fof(f75,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_14253,X0)
| sK3(i2003_11_14_17_20_14253) = X0 ),
inference(resolution,[],[f72,f69]) ).
fof(f82,plain,
sK3(i2003_11_14_17_20_14253) = sK2(i2003_11_14_17_20_14253),
inference(resolution,[],[f75,f70]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[],[f82,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS095+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:18:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.43 % (2550446)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (2550455)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3254305706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.43 % (2550455) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2550446-2550455"...
% 0.10/0.43 % (2550455)...printing done.
% 0.10/0.43 % (2550455)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (2550455)------------------------------
% 0.10/0.44 % (2550455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (2550455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (2550455)CaDiCaL version: 2.1.3
% 0.10/0.44 % (2550455)Termination reason: Refutation
% 0.10/0.44 % (2550455)Time elapsed: 0.001 s
% 0.10/0.44 % (2550455)Peak memory usage: 11 MB
% 0.10/0.44 % (2550455)Instructions burned: 2 (million)
% 0.10/0.44 % (2550446)Success in time 0.026 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------