%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:41:47 AM UTC 2026
% Result : Theorem 2.43s 1.11s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 77 ( 23 unt; 8 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 249 ( 104 ~; 99 |; 30 &)
% ( 14 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 22 !; 4 ?)
% 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(f50,axiom,
! [X0] :
( cC140(X0)
<=> ( cTOP(X0)
& cC138(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f128,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC140(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f130,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(f132,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f146,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f147,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f148,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( cTEST(X0)
=> ( cC140(X0)
& cC116(X0) ) ),
inference(unused_predicate_definition_removal,[],[f128]) ).
fof(f188,plain,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f149]) ).
fof(f193,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(ennf_transformation,[],[f148]) ).
fof(f194,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f315,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f316,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f315]) ).
fof(f521,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(nnf_transformation,[],[f193]) ).
fof(f522,plain,
( ~ cowlThing(sK90)
| cowlNothing(sK90)
| ( ( xsd_integer(sK91)
| ~ xsd_string(sK91) )
& ( ~ xsd_integer(sK91)
| xsd_string(sK91) ) )
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91]),skolemize(X0,sK90),skolemize(X1,sK91)],[f521]) ).
fof(f523,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f524,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f525,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f526,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f640,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f839,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f840,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f842,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f130]) ).
fof(f844,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f132]) ).
fof(f858,plain,
( ~ cowlThing(sK90)
| cowlNothing(sK90)
| ~ xsd_integer(sK91)
| xsd_string(sK91)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(cnf_transformation,[],[f522]) ).
fof(f859,plain,
( ~ cowlThing(sK90)
| cowlNothing(sK90)
| xsd_integer(sK91)
| ~ xsd_string(sK91)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(cnf_transformation,[],[f522]) ).
fof(f861,definition,
( spl92_1
<=> cC138(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).
fof(f865,definition,
( spl92_2
<=> cowlThing(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_2])],[avatar_definition]) ).
fof(f869,definition,
( spl92_3
<=> cC140(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_3])],[avatar_definition]) ).
fof(f870,plain,
( cC140(iV5475)
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f873,definition,
( spl92_4
<=> cC116(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_4])],[avatar_definition]) ).
fof(f877,definition,
( spl92_5
<=> xsd_string(sK91) ),
introduced(definition,[new_symbols(definition,[spl92_5])],[avatar_definition]) ).
fof(f878,plain,
( ~ xsd_string(sK91)
| spl92_5 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f879,plain,
( xsd_string(sK91)
| ~ spl92_5 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl92_6
<=> xsd_integer(sK91) ),
introduced(definition,[new_symbols(definition,[spl92_6])],[avatar_definition]) ).
fof(f882,plain,
( xsd_integer(sK91)
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f885,definition,
( spl92_7
<=> cowlNothing(sK90) ),
introduced(definition,[new_symbols(definition,[spl92_7])],[avatar_definition]) ).
fof(f887,plain,
( cowlNothing(sK90)
| ~ spl92_7 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f889,definition,
( spl92_8
<=> cowlThing(sK90) ),
introduced(definition,[new_symbols(definition,[spl92_8])],[avatar_definition]) ).
fof(f891,plain,
( ~ cowlThing(sK90)
| spl92_8 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f892,plain,
( ~ spl92_1
| ~ spl92_2
| ~ spl92_3
| ~ spl92_4
| spl92_5
| ~ spl92_6
| spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f858,f889,f885,f881,f877,f873,f869,f865,f861]) ).
fof(f893,plain,
( ~ spl92_1
| ~ spl92_2
| ~ spl92_3
| ~ spl92_4
| ~ spl92_5
| spl92_6
| spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f859,f889,f885,f881,f877,f873,f869,f865,f861]) ).
fof(f894,plain,
spl92_2,
inference(avatar_split_clause,[],[f842,f865]) ).
fof(f895,plain,
cC116(iV5475),
inference(resolution,[],[f839,f844]) ).
fof(f896,plain,
spl92_4,
inference(avatar_split_clause,[],[f895,f873]) ).
fof(f898,plain,
cC140(iV5475),
inference(resolution,[],[f840,f844]) ).
fof(f899,plain,
spl92_3,
inference(avatar_split_clause,[],[f898,f869]) ).
fof(f901,plain,
( cC138(iV5475)
| ~ spl92_3 ),
inference(resolution,[],[f870,f640]) ).
fof(f904,plain,
( $false
| spl92_8 ),
inference(forward_subsumption_resolution,[],[f891,f524]) ).
fof(f905,plain,
spl92_8,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f906,plain,
( spl92_1
| ~ spl92_3 ),
inference(avatar_split_clause,[],[f901,f869,f861]) ).
fof(f907,plain,
( xsd_integer(sK91)
| spl92_5 ),
inference(resolution,[],[f878,f526]) ).
fof(f908,plain,
( spl92_6
| spl92_5 ),
inference(avatar_split_clause,[],[f907,f877,f881]) ).
fof(f909,plain,
( ~ xsd_string(sK91)
| ~ spl92_6 ),
inference(resolution,[],[f882,f525]) ).
fof(f910,plain,
( $false
| ~ spl92_5
| ~ spl92_6 ),
inference(forward_subsumption_resolution,[],[f909,f879]) ).
fof(f911,plain,
( ~ spl92_5
| ~ spl92_6 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f912,plain,
( $false
| ~ spl92_7 ),
inference(forward_subsumption_resolution,[],[f887,f523]) ).
fof(f913,plain,
~ spl92_7,
inference(avatar_contradiction_clause,[],[f912]) ).
cnf(s1,plain,
( ~ spl92_1
| ~ spl92_2
| ~ spl92_3
| ~ spl92_4
| spl92_5
| ~ spl92_6
| spl92_7
| ~ spl92_8 ),
inference(sat_conversion,[],[f892]) ).
cnf(s2,plain,
( ~ spl92_1
| ~ spl92_2
| ~ spl92_3
| ~ spl92_4
| ~ spl92_5
| spl92_6
| spl92_7
| ~ spl92_8 ),
inference(sat_conversion,[],[f893]) ).
cnf(s3,plain,
spl92_2,
inference(sat_conversion,[],[f894]) ).
cnf(s4,plain,
spl92_4,
inference(sat_conversion,[],[f896]) ).
cnf(s5,plain,
spl92_3,
inference(sat_conversion,[],[f899]) ).
cnf(s7,plain,
spl92_8,
inference(sat_conversion,[],[f905]) ).
cnf(s8,plain,
( spl92_1
| ~ spl92_3 ),
inference(sat_conversion,[],[f906]) ).
cnf(s9,plain,
( spl92_5
| spl92_6 ),
inference(sat_conversion,[],[f908]) ).
cnf(s10,plain,
( ~ spl92_5
| ~ spl92_6 ),
inference(sat_conversion,[],[f911]) ).
cnf(s11,plain,
~ spl92_7,
inference(sat_conversion,[],[f913]) ).
cnf(s12,plain,
spl92_1,
inference(rat,[],[s8,s5]) ).
cnf(s13,plain,
( ~ spl92_5
| spl92_6 ),
inference(rat,[],[s2,s7,s11,s4,s5,s3,s12]) ).
cnf(s14,plain,
( spl92_5
| ~ spl92_6 ),
inference(rat,[],[s1,s7,s11,s4,s5,s3,s12]) ).
cnf(s15,plain,
spl92_5,
inference(rat,[],[s14,s9]) ).
cnf(s16,plain,
~ spl92_6,
inference(rat,[],[s10,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s13,s16,s15]) ).
fof(f914,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n020.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 13:31:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.43/1.11 % (3388823)Detected formulas, will run a generic FOF schedule.
% 2.43/1.11 % (3388833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3928225421:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.43/1.11 % (3388833)First to succeed.
% 2.43/1.11 % (3388833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3388823"
% 2.43/1.11 % (3388828)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1106304207:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.43/1.11 % (3388832)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4032976260:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.43/1.11 % (3388831)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2180334744:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.43/1.11 % (3388829)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=817638028:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.43/1.11 % (3388830)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2579745510:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.43/1.11 % (3388834)dis-21_1_sil=8000:lcm=predicate:random_seed=1763251275:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.43/1.11 % (3388832)Refutation not found, incomplete strategy
% 2.43/1.11 % (3388832)------------------------------
% 2.43/1.11 % (3388832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.11 % (3388832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.11 % (3388831)Refutation not found, incomplete strategy
% 2.43/1.11 % (3388831)------------------------------
% 2.43/1.11 % (3388831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.11 % (3388832)CaDiCaL version: 2.1.3
% 2.43/1.11 % (3388831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.11 % (3388832)Termination reason: Refutation not found, incomplete strategy
% 2.43/1.11 % (3388832)Time elapsed: 0.001 s
% 2.43/1.11 % (3388832)Peak memory usage: 86 MB
% 2.43/1.11 % (3388831)CaDiCaL version: 2.1.3
% 2.43/1.11 % (3388831)Termination reason: Refutation not found, incomplete strategy
% 2.43/1.11 % (3388831)Time elapsed: 0.001 s
% 2.43/1.11 % (3388831)Peak memory usage: 87 MB
% 2.43/1.11 % (3388834)Also succeeded, but the first one will report.
% 2.43/1.11 % (3388833)Refutation found. Thanks to Tanya!
% 2.43/1.11 % SZS status Theorem for theBenchmark
% 2.43/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/1.11 % (3388833)------------------------------
% 2.43/1.11 % (3388833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.11 % (3388833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.11 % (3388833)CaDiCaL version: 2.1.3
% 2.43/1.11 % (3388833)Termination reason: Refutation
% 2.43/1.11 % (3388833)Time elapsed: 0.004 s
% 2.43/1.11 % (3388833)Peak memory usage: 90 MB
% 2.43/1.11 % (3388833)Instructions burned: 9 (million)
% 2.43/1.11 % (3388833)------------------------------
% 2.43/1.11 % (3388833)------------------------------
% 2.43/1.11 % (3388823)Success in time 0.301 s
% 2.43/1.11 % Vampire exiting
%------------------------------------------------------------------------------