%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS131+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 : n026.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 11:42:21 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 13 unt; 6 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 303 ( 124 ~; 147 |; 11 &)
% ( 16 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn 49 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cA(X0)
<=> ? [X1] :
( rq(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f8,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cnotA(X2)
<=> ~ cA(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0] :
( ! [X1] : ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cnotA(X2)
<~> ~ cA(X2) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cNothing(X1)
| ~ cnotA(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( rq(X0,sK2(X0))
| cnotA(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
( ~ cA(sK3)
| cnotA(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
( ~ cA(sK3)
| cnotA(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
( cA(sK3)
| ~ cnotA(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
( cA(sK3)
| ~ cnotA(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f31,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f32,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| rq(X0,X1)
| ~ cA(X0) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f33,plain,
! [X0] :
( ~ rq(X0,sK0(X0))
| cA(X0) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f36,plain,
! [X0] :
( ~ cnotA(X0)
| ~ rq(X0,sK2(X0)) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f37,plain,
! [X0,X1] :
( rq(X0,X1)
| cNothing(X1)
| cnotA(X0) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f38,plain,
( ~ cA(sK3)
| cnotA(sK3)
| xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f39,plain,
( ~ cA(sK3)
| cnotA(sK3)
| ~ xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f40,plain,
( cA(sK3)
| ~ cnotA(sK3)
| xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f41,plain,
( cA(sK3)
| ~ cnotA(sK3)
| ~ xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f43,definition,
( spl6_1
<=> cowlThing(sK5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f45,plain,
( ~ cowlThing(sK5)
| spl6_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f47,definition,
( spl6_2
<=> cowlNothing(sK5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f49,plain,
( cowlNothing(sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl6_3
<=> xsd_string(sK4) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f52,plain,
( xsd_string(sK4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl6_4
<=> xsd_integer(sK4) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f56,plain,
( xsd_integer(sK4)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl6_5
<=> cnotA(sK3) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f60,plain,
( cnotA(sK3)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( ~ cnotA(sK3)
| spl6_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl6_6
<=> cA(sK3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f64,plain,
( ~ cA(sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( cA(sK3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f41,f63,f59,f55,f51,f47,f43]) ).
fof(f67,plain,
( ~ spl6_1
| spl6_2
| spl6_3
| spl6_4
| ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f40,f63,f59,f55,f51,f47,f43]) ).
fof(f68,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f39,f63,f59,f55,f51,f47,f43]) ).
fof(f69,plain,
( ~ spl6_1
| spl6_2
| spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f38,f63,f59,f55,f51,f47,f43]) ).
fof(f70,plain,
( $false
| spl6_1 ),
inference(backward_subsumption_resolution,[],[f45,f15]) ).
fof(f71,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
! [X0] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[],[f22,f21]) ).
fof(f73,plain,
! [X0,X1] :
( ~ cA(X0)
| rq(X0,X1) ),
inference(forward_subsumption_resolution,[],[f32,f15]) ).
fof(f74,plain,
! [X0,X1] :
( rq(X0,X1)
| cnotA(X0) ),
inference(forward_subsumption_resolution,[],[f37,f72]) ).
fof(f75,plain,
! [X0] :
( cnotA(X0)
| cA(X0) ),
inference(resolution,[],[f74,f33]) ).
fof(f76,plain,
( cA(sK3)
| spl6_5 ),
inference(resolution,[],[f75,f61]) ).
fof(f78,plain,
( $false
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f76,f64]) ).
fof(f79,plain,
( spl6_5
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f80,plain,
( xsd_string(sK4)
| ~ spl6_4 ),
inference(resolution,[],[f56,f31]) ).
fof(f83,plain,
( spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f80,f55,f51]) ).
fof(f84,plain,
( xsd_integer(sK4)
| ~ spl6_3 ),
inference(resolution,[],[f52,f30]) ).
fof(f85,plain,
( ~ rq(sK3,sK2(sK3))
| ~ spl6_5 ),
inference(resolution,[],[f60,f36]) ).
fof(f86,plain,
( ! [X0] : rq(sK3,X0)
| ~ spl6_6 ),
inference(resolution,[],[f65,f73]) ).
fof(f88,plain,
( $false
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f85,f86]) ).
fof(f89,plain,
( ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f90,plain,
( spl6_4
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f84,f51,f55]) ).
fof(f91,plain,
( $false
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f49,f14]) ).
fof(f92,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f91]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f66]) ).
cnf(s2,plain,
( ~ spl6_1
| spl6_2
| spl6_3
| spl6_4
| ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f67]) ).
cnf(s3,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f68]) ).
cnf(s4,plain,
( ~ spl6_1
| spl6_2
| spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s5,plain,
spl6_1,
inference(sat_conversion,[],[f71]) ).
cnf(s6,plain,
( spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f83]) ).
cnf(s9,plain,
( ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s10,plain,
( ~ spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f90]) ).
cnf(s11,plain,
~ spl6_2,
inference(sat_conversion,[],[f92]) ).
cnf(s12,plain,
( spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(rat,[],[s4,s11,s5]) ).
cnf(s13,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(rat,[],[s3,s11,s5]) ).
cnf(s14,plain,
( spl6_3
| spl6_4
| ~ spl6_5
| spl6_6 ),
inference(rat,[],[s2,s11,s5]) ).
cnf(s15,plain,
( ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(rat,[],[s1,s11,s5]) ).
cnf(s16,plain,
( spl6_5
| spl6_3 ),
inference(rat,[],[s12,s6,s8]) ).
cnf(s17,plain,
spl6_3,
inference(rat,[],[s14,s9,s16,s8]) ).
cnf(s18,plain,
spl6_4,
inference(rat,[],[s10,s17]) ).
cnf(s19,plain,
spl6_5,
inference(rat,[],[s13,s6,s18,s17]) ).
cnf(s20,plain,
~ spl6_6,
inference(rat,[],[s9,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s15,s17,s18,s20,s19]) ).
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS131+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 : n026.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 13:30:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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 % (2853112)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2853117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3344445321_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % TRYING [7]
% 0.17/0.47 % TRYING [8]
% 0.17/0.47 % (2853118)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [9]
% 0.17/0.47 % TRYING [10]
% 0.17/0.47 % TRYING [11]
% 0.17/0.47 % TRYING [12]
% 0.17/0.47 % TRYING [13]
% 0.17/0.47 % (2853118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3548829966:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2853119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2852119265:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2853120)dis+10_1_sil=32000:sp=arity:random_seed=2617299138:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2853121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3722991615:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2853123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3202677940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2853122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2946550708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % TRYING [14]
% 0.17/0.47 % (2853118) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853118"...
% 0.17/0.47 % (2853120) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853120"...
% 0.17/0.47 % TRYING [15]
% 0.17/0.47 % (2853121) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853121"...
% 0.17/0.47 % (2853122) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853122"...
% 0.17/0.47 % (2853123) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853123"...
% 0.17/0.47 % (2853119) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2853112-2853119"...
% 0.17/0.47 % TRYING [16]
% 0.17/0.47 % (2853118)...printing done.
% 0.17/0.47 % (2853120)...printing done.
% 0.17/0.47 % (2853121)...printing done.
% 0.17/0.47 % (2853122)...printing done.
% 0.17/0.47 % (2853123)...printing done.
% 0.17/0.47 % (2853118)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2853118)------------------------------
% 0.17/0.47 % (2853118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2853118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2853118)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2853118)Termination reason: Refutation
% 0.17/0.47 % (2853118)Time elapsed: 0.003 s
% 0.17/0.47 % (2853118)Peak memory usage: 12 MB
% 0.17/0.47 % (2853118)Instructions burned: 2 (million)
% 0.17/0.47 % (2853112)Success in time 0.045 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------