%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS124+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 : n010.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 11:42:20 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 32 ~; 25 |; 12 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 42 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
& ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f13,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cd(X0)
& cc(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
& ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f18,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f19,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
& ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ca_Ax3(X0)
=> ( cd(X0)
& cc(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f21,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f23,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ? [X1] : rr(X0,X1)
& ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) ) ) ),
inference(pure_predicate_removal,[],[f19]) ).
fof(f31,plain,
! [X0] :
( ( ? [X1] : rr(X0,X1)
& ! [X2] :
( ca_Ax3(X2)
| ~ rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f32,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0] :
( ( cd(X0)
& cc(X0) )
| ~ ca_Ax3(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f36,plain,
! [X0] :
( ( rr(X0,sK0(X0))
& ! [X2] :
( ca_Ax3(X2)
| ~ rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f31]) ).
fof(f37,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f34]) ).
fof(f38,plain,
! [X2,X0] :
( ~ rr(X0,X2)
| ca_Ax3(X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f39,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f40,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f42,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f43,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f44,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f45,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0] :
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[],[f42,f41]) ).
fof(f47,plain,
! [X0] :
( ca_Ax3(sK0(X0))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f38,f39]) ).
fof(f48,plain,
! [X0] :
( ca_Ax3(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f49,plain,
! [X0] :
( cd(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f48,f44]) ).
fof(f50,plain,
! [X0] :
( cc(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f48,f43]) ).
fof(f51,plain,
! [X0] :
( ~ cdxcomp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f49,f46]) ).
fof(f52,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(sK0(X0)) ),
inference(resolution,[],[f50,f40]) ).
fof(f53,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f52,f51]) ).
fof(f54,plain,
$false,
inference(resolution,[],[f53,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n010.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:27:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.46 % (969187)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (969195)dis+10_1_sil=32000:sp=arity:random_seed=200485029:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % (969195) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-969187-969195"...
% 0.13/0.46 % (969195)...printing done.
% 0.13/0.46 % (969195)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (969195)------------------------------
% 0.13/0.46 % (969195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (969195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (969195)CaDiCaL version: 2.1.3
% 0.13/0.46 % (969195)Termination reason: Refutation
% 0.13/0.46 % (969195)Time elapsed: 0.001 s
% 0.13/0.46 % (969195)Peak memory usage: 11 MB
% 0.13/0.46 % (969195)Instructions burned: 1 (million)
% 0.13/0.46 % (969187)Success in time 0.028 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------