%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS073+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 : n010.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 11:42:12 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 7 unt; 1 def)
% Number of atoms : 178 ( 8 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 211 ( 78 ~; 72 |; 48 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 100 ( 80 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( rinvS(X1,X2)
=> cp(X2) )
& ! [X2] :
( rinvF(X1,X2)
=> ? [X3] :
( rs(X2,X3)
& cp(X3) ) ) )
& ~ cp(X0) ) ),
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(f24,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
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)
& ! [X2] :
( rinvS(X1,X2)
=> cp(X2) )
& ! [X3] :
( rinvF(X1,X3)
=> ? [X4] :
( rs(X3,X4)
& cp(X4) ) ) )
& ~ cp(X0) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) )
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cp(X4) )
| ~ rinvF(X1,X3) ) )
& ~ cp(X0) ) ),
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(f76,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f77,definition,
! [X0] :
( sP0(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) )
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cp(X4) )
| ~ rinvF(X1,X3) ) )
& ~ cp(X0) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f78,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP0(X0) ),
inference(definition_folding,[],[f68,f77]) ).
fof(f80,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) )
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cp(X4) )
& rinvF(X1,X3) ) )
| cp(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) )
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cp(X4) )
| ~ rinvF(X1,X3) ) )
& ~ cp(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f81,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) )
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cp(X4) )
& rinvF(X1,X3) ) )
| cp(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) )
& ! [X3] :
( ? [X4] :
( rs(X3,X4)
& cp(X4) )
| ~ rinvF(X1,X3) ) )
& ~ cp(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) )
| ? [X3] :
( ! [X4] :
( ~ rs(X3,X4)
| ~ cp(X4) )
& rinvF(X1,X3) ) )
| cp(X0) )
& ( ( ? [X5] :
( rf(X0,X5)
& ! [X6] :
( cp(X6)
| ~ rinvS(X5,X6) )
& ! [X7] :
( ? [X8] :
( rs(X7,X8)
& cp(X8) )
| ~ rinvF(X5,X7) ) )
& ~ cp(X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ( ~ cp(sK1(X1))
& rinvS(X1,sK1(X1)) )
| ( ! [X4] :
( ~ rs(sK2(X1),X4)
| ~ cp(X4) )
& rinvF(X1,sK2(X1)) ) )
| cp(X0) )
& ( ( rf(X0,sK3(X0))
& ! [X6] :
( cp(X6)
| ~ rinvS(sK3(X0),X6) )
& ! [X7] :
( ( rs(X7,sK4(X7))
& cp(sK4(X7)) )
| ~ rinvF(sK3(X0),X7) )
& ~ cp(X0) )
| ~ sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X2,sK1(X1)),skolemize(X3,sK2(X1)),skolemize(X5,sK3(X0)),skolemize(X8,sK4(X7))],[f82]) ).
fof(f84,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f85,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f110,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f112,plain,
! [X0,X7] :
( ~ rinvF(sK3(X0),X7)
| rs(X7,sK4(X7))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f113,plain,
! [X0,X6] :
( ~ rinvS(sK3(X0),X6)
| cp(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f114,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f119,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[],[f28]) ).
fof(f132,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f177,plain,
sP0(i2003_11_14_17_18_54369),
inference(resolution,[],[f119,f130]) ).
fof(f244,plain,
! [X0] :
( rinvF(sK3(X0),X0)
| ~ sP0(X0) ),
inference(resolution,[],[f114,f124]) ).
fof(f259,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK3(X0) = X1
| ~ sP0(X0) ),
inference(resolution,[],[f121,f114]) ).
fof(f364,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ sP0(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f112,f244]) ).
fof(f365,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f487,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f365,f132]) ).
fof(f489,plain,
! [X0] :
( rinvS(sK4(X0),X0)
| ~ sP0(X0) ),
inference(resolution,[],[f365,f128]) ).
fof(f587,plain,
! [X0] :
( sK3(X0) = sK4(X0)
| ~ sP0(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f259,f487]) ).
fof(f588,plain,
! [X0] :
( ~ sP0(X0)
| sK3(X0) = sK4(X0) ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f590,plain,
sK3(i2003_11_14_17_18_54369) = sK4(i2003_11_14_17_18_54369),
inference(resolution,[],[f588,f177]) ).
fof(f595,plain,
( rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)
| ~ sP0(i2003_11_14_17_18_54369) ),
inference(superposition,[],[f489,f590]) ).
fof(f599,plain,
rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(forward_subsumption_resolution,[],[f595,f177]) ).
fof(f606,plain,
( cp(i2003_11_14_17_18_54369)
| ~ sP0(i2003_11_14_17_18_54369) ),
inference(resolution,[],[f599,f113]) ).
fof(f608,plain,
~ sP0(i2003_11_14_17_18_54369),
inference(forward_subsumption_resolution,[],[f606,f110]) ).
fof(f609,plain,
$false,
inference(forward_subsumption_resolution,[],[f608,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 13:19:31 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 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
% 0.13/0.42 % (965934)Will run a generic schedule for satisfiability detection.
% 0.13/0.42 % (965941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1714375796:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.42 % (965940)% WARNING: option uhcvi not known.
% 0.13/0.42 % (965944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2165965082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.42 % (965939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=908630086_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.42 % (965940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=573987098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.42 % (965942)dis+10_1_sil=32000:sp=arity:random_seed=1575497479:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.42 % (965943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2445355200:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.42 % (965941) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-965934-965941"...
% 0.13/0.42 % (965945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4140952184:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.42 % (965941)...printing done.
% 0.13/0.42 % (965941)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (965941)------------------------------
% 0.13/0.42 % (965941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (965941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (965941)CaDiCaL version: 2.1.3
% 0.13/0.42 % (965941)Termination reason: Refutation
% 0.13/0.42 % (965941)Time elapsed: 0.008 s
% 0.13/0.42 % (965941)Peak memory usage: 12 MB
% 0.13/0.42 % (965941)Instructions burned: 15 (million)
% 0.13/0.42 % (965934)Success in time 0.033 s
% 0.13/0.42 % Vampire exiting
%------------------------------------------------------------------------------