%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS072+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 11:42:12 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 72 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 24 |; 16 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 29 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rinvR(X0,X1)
& ! [X2,X3] :
( ( rr(X1,X2)
& rr(X1,X3) )
=> X2 = X3 )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) ) )
& cp2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f18,axiom,
! [X0] :
( cp1(X0)
=> ~ ( cp3(X0)
| cp2(X0)
| cp4(X0)
| cp5(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f22,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f23,axiom,
cUnsatisfiable(i2003_11_14_17_18_50190),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f52,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rinvR(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) ) )
& cp2(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f53,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rinvR(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) ) )
& cp2(X0) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ( ~ cp3(X0)
& ~ cp2(X0)
& ~ cp4(X0)
& ~ cp5(X0) )
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f76,plain,
! [X2,X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(sK0(X0),X2)
| X2 = X3
| ~ rr(sK0(X0),X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f80,plain,
! [X0] :
( cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f81,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK0(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f82,plain,
! [X0] :
( rinvR(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f83,plain,
! [X0] :
( cp2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f86,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f95,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f96,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(cnf_transformation,[],[f23]) ).
fof(f112,plain,
! [X0] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f86,f83]) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiable(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f112,f80]) ).
fof(f114,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK0(X0),X0) ),
inference(resolution,[],[f95,f82]) ).
fof(f116,plain,
rr(sK0(i2003_11_14_17_18_50190),sK1(i2003_11_14_17_18_50190)),
inference(resolution,[],[f81,f96]) ).
fof(f117,plain,
! [X0,X1] :
( ~ rr(sK0(i2003_11_14_17_18_50190),X0)
| ~ rr(sK0(i2003_11_14_17_18_50190),X1)
| X0 = X1 ),
inference(resolution,[],[f76,f96]) ).
fof(f118,plain,
rr(sK0(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190),
inference(resolution,[],[f114,f96]) ).
fof(f124,plain,
! [X0] :
( ~ rr(sK0(i2003_11_14_17_18_50190),X0)
| i2003_11_14_17_18_50190 = X0 ),
inference(resolution,[],[f117,f118]) ).
fof(f126,plain,
i2003_11_14_17_18_50190 = sK1(i2003_11_14_17_18_50190),
inference(resolution,[],[f124,f116]) ).
fof(f131,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| ~ cUnsatisfiable(i2003_11_14_17_18_50190) ),
inference(superposition,[],[f113,f126]) ).
fof(f133,plain,
~ cUnsatisfiable(i2003_11_14_17_18_50190),
inference(duplicate_literal_removal,[],[f131]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f133,f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS072+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n001.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 13:25:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.16/0.47 % (3570920)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3570929)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1806906682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3570929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3570920-3570929"...
% 0.16/0.47 % (3570929)...printing done.
% 0.16/0.47 % (3570926)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3570929)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3570929)------------------------------
% 0.16/0.47 % (3570929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3570929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3570929)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3570929)Termination reason: Refutation
% 0.16/0.47 % (3570929)Time elapsed: 0.002 s
% 0.16/0.47 % (3570929)Peak memory usage: 12 MB
% 0.16/0.47 % (3570929)Instructions burned: 2 (million)
% 0.16/0.47 % (3570920)Success in time 0.026 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------