%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS090+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 : n007.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 34 ~; 32 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( cC2(X0)
=> ( ( ~ cB(X0)
| cA(X0) )
& ( cB(X0)
| cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cB(X0)
| ~ cA(X0) )
& ( cB(X0)
| ~ cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( rR(X0,X1)
& cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cTEST(X0)
=> ( cC4(X0)
& cC1(X0)
& cC5(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f42,plain,
! [X0] :
( cTEST(X0)
=> ( cC4(X0)
& cC5(X0) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f45,plain,
! [X0] :
( ( ( ~ cB(X0)
| cA(X0) )
& ( cB(X0)
| cA(X0) ) )
| ~ cC2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0] :
( ( ( ~ cB(X0)
| ~ cA(X0) )
& ( cB(X0)
| ~ cA(X0) ) )
| ~ cC3(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( rR(X0,X1)
& cC2(X1) )
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( cC3(X1)
| ~ rR(X0,X1) )
| ~ cC5(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] :
( ( cC4(X0)
& cC5(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f50,plain,
! [X0] :
( ( rR(X0,sK0(X0))
& cC2(sK0(X0)) )
| ~ cC4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f47]) ).
fof(f51,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f52,plain,
! [X0] :
( ~ cB(X0)
| cA(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f54,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f55,plain,
! [X0] :
( ~ cC4(X0)
| cC2(sK0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f56,plain,
! [X0] :
( ~ cC4(X0)
| rR(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f57,plain,
! [X0,X1] :
( ~ cC5(X0)
| ~ rR(X0,X1)
| cC3(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
! [X0] :
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f60,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0) ),
inference(forward_subsumption_resolution,[],[f54,f53]) ).
fof(f62,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0) ),
inference(forward_subsumption_resolution,[],[f52,f51]) ).
fof(f63,plain,
cC5(i2003_11_14_17_19_57994),
inference(resolution,[],[f58,f60]) ).
fof(f64,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[],[f59,f60]) ).
fof(f65,plain,
cC2(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f55,f64]) ).
fof(f66,plain,
cA(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f65,f62]) ).
fof(f68,plain,
rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f56,f64]) ).
fof(f69,plain,
! [X0] :
( ~ rR(i2003_11_14_17_19_57994,X0)
| cC3(X0) ),
inference(resolution,[],[f57,f63]) ).
fof(f70,plain,
cC3(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f69,f68]) ).
fof(f72,plain,
~ cA(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f70,f61]) ).
fof(f73,plain,
$false,
inference(forward_subsumption_resolution,[],[f72,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:20:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.47 % (1415252)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1415262)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3438551759:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1415262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1415252-1415262"...
% 0.17/0.47 % (1415262)...printing done.
% 0.17/0.47 % (1415262)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1415262)------------------------------
% 0.17/0.47 % (1415262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1415262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1415262)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1415262)Termination reason: Refutation
% 0.17/0.47 % (1415262)Time elapsed: 0.001 s
% 0.17/0.47 % (1415262)Peak memory usage: 12 MB
% 0.17/0.47 % (1415262)Instructions burned: 2 (million)
% 0.17/0.47 % (1415252)Success in time 0.032 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------