%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS076+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 : n006.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 11:42:13 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 7 unt; 0 def)
% Number of atoms : 178 ( 15 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 209 ( 79 ~; 74 |; 46 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 106 ( 85 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X1] :
( rf1(X0,X1)
& ~ cp(X1)
& ! [X2] :
( rinvF1(X1,X2)
=> ? [X3] :
( rs(X2,X3)
& cowlThing(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f29,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f30,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( rinvF1(X2,X3)
=> ? [X4] :
( rs(X3,X4)
& cowlThing(X4) ) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cowlThing(X4) )
| ~ rinvF1(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f76,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cowlThing(X4) )
& rinvF1(X2,X3) ) ) )
& ( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cowlThing(X4) )
| ~ rinvF1(X2,X3) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cowlThing(X4) )
& rinvF1(X2,X3) ) ) )
& ( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cowlThing(X4) )
| ~ rinvF1(X2,X3) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cowlThing(X4) )
& rinvF1(X2,X3) ) ) )
& ( ( ? [X5] :
( rf(X0,X5)
& cp(X5) )
& ? [X6] :
( rf1(X0,X6)
& ~ cp(X6)
& ! [X7] :
( ? [X8] :
( rs(X7,X8)
& cowlThing(X8) )
| ~ rinvF1(X6,X7) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ( ! [X4] :
( ~ rs(sK0(X2),X4)
| ~ cowlThing(X4) )
& rinvF1(X2,sK0(X2)) ) ) )
& ( ( rf(X0,sK1(X0))
& cp(sK1(X0))
& rf1(X0,sK2(X0))
& ~ cp(sK2(X0))
& ! [X7] :
( ( rs(X7,sK3(X7))
& cowlThing(sK3(X7)) )
| ~ rinvF1(sK2(X0),X7) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X3,sK0(X2)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0)),skolemize(X8,sK3(X7))],[f80]) ).
fof(f83,plain,
! [X0,X1] :
( ( rinvF1(X0,X1)
| ~ rf1(X1,X0) )
& ( rf1(X1,X0)
| ~ rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f108,plain,
! [X0,X7] :
( ~ rinvF1(sK2(X0),X7)
| rs(X7,sK3(X7))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f109,plain,
! [X0] :
( ~ cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f110,plain,
! [X0] :
( rf1(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f112,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[],[f28]) ).
fof(f125,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f126,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f215,plain,
! [X0] :
( rinvF1(sK2(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f120,f110]) ).
fof(f273,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK1(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f115,f112]) ).
fof(f355,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| sK2(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f116,f110]) ).
fof(f417,plain,
! [X0] :
( rs(X0,sK3(X0))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f108,f215]) ).
fof(f418,plain,
! [X0] :
( rs(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f620,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f418,f126]) ).
fof(f621,plain,
! [X0] :
( rf1(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f418,f125]) ).
fof(f626,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK1(X0) = sK3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f620,f273]) ).
fof(f629,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK1(X0) = sK3(X0) ),
inference(duplicate_literal_removal,[],[f626]) ).
fof(f701,plain,
sK1(i2003_11_14_17_19_06193) = sK3(i2003_11_14_17_19_06193),
inference(resolution,[],[f629,f124]) ).
fof(f795,plain,
( rf1(i2003_11_14_17_19_06193,sK1(i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(superposition,[],[f621,f701]) ).
fof(f802,plain,
rf1(i2003_11_14_17_19_06193,sK1(i2003_11_14_17_19_06193)),
inference(forward_subsumption_resolution,[],[f795,f124]) ).
fof(f834,plain,
( sK1(i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193)
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(resolution,[],[f802,f355]) ).
fof(f837,plain,
sK1(i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193),
inference(forward_subsumption_resolution,[],[f834,f124]) ).
fof(f845,plain,
( cp(sK2(i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(superposition,[],[f111,f837]) ).
fof(f850,plain,
~ cUnsatisfiable(i2003_11_14_17_19_06193),
inference(forward_subsumption_resolution,[],[f845,f109]) ).
fof(f851,plain,
$false,
inference(forward_subsumption_resolution,[],[f850,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS076+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:21:40 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.48 % (2974581)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (2974592)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1317912347:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (2974591)% WARNING: option uhcvi not known.
% 0.19/0.48 % (2974591)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3620399116:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (2974593)dis+10_1_sil=32000:sp=arity:random_seed=2808260144:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (2974595)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2977424835:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (2974596)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1150806210:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (2974594)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4256070915:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (2974590)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3099428289_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (2974592) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2974581-2974592"...
% 0.19/0.48 % (2974592)...printing done.
% 0.19/0.48 % TRYING [1]
% 0.19/0.48 % (2974593) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2974581-2974593"...
% 0.19/0.48 % TRYING [2]
% 0.19/0.48 % (2974592)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2974592)------------------------------
% 0.19/0.48 % (2974592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (2974592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (2974592)CaDiCaL version: 2.1.3
% 0.19/0.48 % (2974592)Termination reason: Refutation
% 0.19/0.48 % (2974592)Time elapsed: 0.009 s
% 0.19/0.48 % (2974592)Peak memory usage: 12 MB
% 0.19/0.48 % (2974592)Instructions burned: 21 (million)
% 0.19/0.48 % (2974581)Success in time 0.039 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------