%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS089+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 : n009.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 73 ( 6 unt; 0 def)
% Number of atoms : 210 ( 60 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 236 ( 99 ~; 93 |; 31 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 140 ( 132 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( X0 = X1
& cUnsatisfiable(X0) )
=> cUnsatisfiable(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
fof(f3,axiom,
! [X0,X1] :
( ( X0 = X1
& cowlThing(X0) )
=> cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rinvP(X0,X2) )
=> rinvP(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvP_substitution_1) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rinvP(X2,X0) )
=> rinvP(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvP_substitution_2) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rp(X0,X2) )
=> rp(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rp(X2,X0) )
=> rp(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_2) ).
fof(f10,axiom,
! [X0,X1] :
( ( X0 = X1
& xsd_integer(X0) )
=> xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
fof(f11,axiom,
! [X0,X1] :
( ( X0 = X1
& xsd_string(X0) )
=> xsd_string(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
fof(f12,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f13,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f14,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ? [X1,X2,X3] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f15,axiom,
! [X0] :
( cowlThing(X0)
=> ? [X1] :
( rp(X0,X1)
& X1 = ispy ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f16,axiom,
! [X0,X1] :
( rp(X0,X1)
<=> rinvP(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X0)
& rinvP(ispy,X1)
& rinvP(ispy,X2) )
=> ( X0 = X1
| X0 = X2
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f18,axiom,
cowlThing(ispy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f20,plain,
! [X0,X1] :
( cUnsatisfiable(X1)
| X0 != X1
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0,X1] :
( cUnsatisfiable(X1)
| X0 != X1
| ~ cUnsatisfiable(X0) ),
inference(flattening,[],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( rinvP(X1,X2)
| X0 != X1
| ~ rinvP(X0,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1,X2] :
( rinvP(X1,X2)
| X0 != X1
| ~ rinvP(X0,X2) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( rinvP(X2,X1)
| X0 != X1
| ~ rinvP(X2,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0,X1,X2] :
( rinvP(X2,X1)
| X0 != X1
| ~ rinvP(X2,X0) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0,X1,X2] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0,X1,X2] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(flattening,[],[f32]) ).
fof(f38,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ? [X1,X2,X3] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( rp(X0,X1)
& X1 = ispy )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f45,plain,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f47,plain,
! [X0] :
( ( rr(X0,sK0(X0))
& rr(X0,sK1(X0))
& rr(X0,sK2(X0))
& sK0(X0) != sK1(X0)
& sK0(X0) != sK2(X0)
& sK1(X0) != sK2(X0) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f42]) ).
fof(f48,plain,
! [X0] :
( ( rp(X0,sK3(X0))
& ispy = sK3(X0) )
| ~ cowlThing(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f43]) ).
fof(f49,plain,
! [X0,X1] :
( ( rp(X0,X1)
| ~ rinvP(X1,X0) )
& ( rinvP(X1,X0)
| ~ rp(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f50,plain,
! [X0,X1] :
( cUnsatisfiable(X1)
| X0 != X1
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X2,X0,X1] :
( rinvP(X1,X2)
| X0 != X1
| ~ rinvP(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X2,X0,X1] :
( rinvP(X2,X1)
| X0 != X1
| ~ rinvP(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X2,X0,X1] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X2,X0,X1] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f12]) ).
fof(f63,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0] :
( sK0(X0) != sK2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X0] :
( sK0(X0) != sK1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0] :
( ispy = sK3(X0)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f72,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f73,plain,
! [X0,X1] :
( rinvP(X0,X1)
| ~ rp(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
! [X0,X1] :
( rp(X0,X1)
| ~ rinvP(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
cowlThing(ispy),
inference(cnf_transformation,[],[f18]) ).
fof(f77,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[],[f19]) ).
fof(f78,plain,
! [X0] :
( cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f80,plain,
! [X0] :
( cowlThing(X0)
| ~ cowlThing(X0) ),
inference(equality_resolution,[],[f52]) ).
fof(f81,plain,
! [X0,X1] :
( rinvP(X0,X1)
| ~ rinvP(X0,X1) ),
inference(equality_resolution,[],[f53]) ).
fof(f82,plain,
! [X0,X1] :
( rinvP(X0,X1)
| ~ rinvP(X0,X1) ),
inference(equality_resolution,[],[f54]) ).
fof(f83,plain,
! [X0,X1] :
( rp(X0,X1)
| ~ rp(X0,X1) ),
inference(equality_resolution,[],[f55]) ).
fof(f84,plain,
! [X0,X1] :
( rp(X0,X1)
| ~ rp(X0,X1) ),
inference(equality_resolution,[],[f56]) ).
fof(f87,plain,
! [X1] :
( xsd_integer(X1)
| ~ xsd_integer(X1) ),
inference(equality_resolution,[],[f59]) ).
fof(f88,plain,
! [X0] :
( xsd_string(X0)
| ~ xsd_string(X0) ),
inference(equality_resolution,[],[f60]) ).
fof(f89,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f90,plain,
! [X0] :
( xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f91,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f108,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f78,f80,f81,f82,f83,f84,f89,f88,f62,f90,f91,f67,f66,f65,f72,f71,f74,f73,f75,f76,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:22:30 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.18/0.47 % (2037097)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2037106)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2295868598:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (2037103)% WARNING: option uhcvi not known.
% 0.18/0.47 % (2037102)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1619115525_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (2037103)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1419328682:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (2037107)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=516030527:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (2037104)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3348796638:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (2037105)dis+10_1_sil=32000:sp=arity:random_seed=1402585950:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (2037108)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=847079403:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % (2037102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2037097-2037102"...
% 0.18/0.47 % (2037102)...printing done.
% 0.18/0.47 % (2037102)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2037102)------------------------------
% 0.18/0.47 % (2037102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2037102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2037102)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2037102)Termination reason: Refutation
% 0.18/0.47 % (2037102)Time elapsed: 0.004 s
% 0.18/0.47 % (2037102)Peak memory usage: 12 MB
% 0.18/0.47 % (2037102)Instructions burned: 5 (million)
% 0.18/0.47 % (2037097)Success in time 0.041 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------