%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS120+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 : 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 11:42:19 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 82 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 36 ~; 28 |; 6 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 50 ( 45 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( ? [X1] :
( rinvF(X0,X1)
& ca_Vx3(X1) )
& cp1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rf(X0,X1)
& cp1xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f70,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f71]) ).
fof(f95,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f98,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f102,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f104,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f106,plain,
! [X0] :
( ca_Vx3(sK3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f107,plain,
! [X0] :
( rinvF(X0,sK3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f108,plain,
! [X0] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f109,plain,
! [X0] :
( cp1xcomp(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f110,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f114,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f118,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[],[f31]) ).
fof(f139,plain,
ca_Ax2(sK0(i2003_11_14_17_21_48796)),
inference(resolution,[],[f98,f118]) ).
fof(f140,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ ca_Ax2(X0) ),
inference(resolution,[],[f102,f108]) ).
fof(f144,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ra_Px1(sK4(X0),sK2(sK4(X0))) ),
inference(resolution,[],[f104,f109]) ).
fof(f145,plain,
! [X0] :
( ~ ca_Ax2(X0)
| rf(sK3(X0),sK4(sK3(X0))) ),
inference(resolution,[],[f110,f106]) ).
fof(f146,plain,
! [X0] :
( ~ ca_Ax2(X0)
| rf(sK3(X0),X0) ),
inference(resolution,[],[f114,f107]) ).
fof(f149,plain,
rf(sK3(sK0(i2003_11_14_17_21_48796)),sK0(i2003_11_14_17_21_48796)),
inference(resolution,[],[f146,f139]) ).
fof(f163,plain,
! [X0] :
( ra_Px1(sK4(sK3(X0)),sK2(sK4(sK3(X0))))
| ~ ca_Ax2(X0) ),
inference(resolution,[],[f144,f106]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(resolution,[],[f112,f95]) ).
fof(f165,plain,
rf(sK3(sK0(i2003_11_14_17_21_48796)),sK4(sK3(sK0(i2003_11_14_17_21_48796)))),
inference(resolution,[],[f145,f139]) ).
fof(f189,plain,
! [X0] :
( ~ rf(sK3(sK0(i2003_11_14_17_21_48796)),X0)
| sK0(i2003_11_14_17_21_48796) = X0 ),
inference(resolution,[],[f164,f149]) ).
fof(f214,plain,
! [X0] :
( ~ ca_Ax2(sK4(sK3(X0)))
| ~ ca_Ax2(X0) ),
inference(resolution,[],[f163,f140]) ).
fof(f220,plain,
sK0(i2003_11_14_17_21_48796) = sK4(sK3(sK0(i2003_11_14_17_21_48796))),
inference(resolution,[],[f189,f165]) ).
fof(f227,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_48796))
| ~ ca_Ax2(sK0(i2003_11_14_17_21_48796)) ),
inference(superposition,[],[f214,f220]) ).
fof(f230,plain,
~ ca_Ax2(sK0(i2003_11_14_17_21_48796)),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[],[f230,f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.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 13:22:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.47 % (2551253)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2551262)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=734128849:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2551259)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2551262) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2551253-2551262"...
% 0.17/0.47 % (2551262)...printing done.
% 0.17/0.47 % (2551262)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 % (2551262)------------------------------
% 0.17/0.47 % (2551262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2551262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2551262)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2551262)Termination reason: Refutation
% 0.17/0.47 % (2551262)Time elapsed: 0.003 s
% 0.17/0.47 % (2551262)Peak memory usage: 12 MB
% 0.17/0.47 % (2551262)Instructions burned: 6 (million)
% 0.17/0.47 % (2551253)Success in time 0.032 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------