%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS118+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 : n002.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 11:42:19 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.54s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 19 unt; 0 def)
% Number of atoms : 231 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 255 ( 93 ~; 89 |; 59 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 117 ( 95 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
& ccxcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cc(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( cd(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ccxcomp(X1) )
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rinvF(X0,X1)
& cd(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f29,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f32,axiom,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f33,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) )
& ccxcomp(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) )
& ccxcomp(X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f75,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvR(X0,X1) )
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) )
| ~ ccxcomp(X0) )
& ( ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) )
& ccxcomp(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f81,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvR(X0,X1) )
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) )
| ~ ccxcomp(X0) )
& ( ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) )
& ccxcomp(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvR(X0,X1) )
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) )
| ~ ccxcomp(X0) )
& ( ( ! [X3] :
( ca_Vx3(X3)
| ~ rinvR(X0,X3) )
& ? [X4] :
( rinvF(X0,X4)
& cd(X4) )
& ccxcomp(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ( ~ ca_Vx3(sK0(X0))
& rinvR(X0,sK0(X0)) )
| ! [X2] :
( ~ rinvF(X0,X2)
| ~ cd(X2) )
| ~ ccxcomp(X0) )
& ( ( ! [X3] :
( ca_Vx3(X3)
| ~ rinvR(X0,X3) )
& rinvF(X0,sK1(X0))
& cd(sK1(X0))
& ccxcomp(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X0))],[f82]) ).
fof(f84,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f85,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ( cc(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f88,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ccxcomp(X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ccxcomp(X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f91,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ccxcomp(X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ccxcomp(X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ccxcomp(X1) )
| ~ cc(X0) )
& ( ( ? [X2] :
( rf(X0,X2)
& ccxcomp(X2) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ccxcomp(X1) )
| ~ cc(X0) )
& ( ( rf(X0,sK4(X0))
& ccxcomp(sK4(X0))
& cc(X0) )
| ~ cd(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f92]) ).
fof(f94,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rinvF(X0,X1)
| ~ cd(X1) ) )
& ( ? [X1] :
( rinvF(X0,X1)
& cd(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f95,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rinvF(X0,X1)
| ~ cd(X1) ) )
& ( ? [X2] :
( rinvF(X0,X2)
& cd(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rinvF(X0,X1)
| ~ cd(X1) ) )
& ( ( rinvF(X0,sK5(X0))
& cd(sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f98,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f123,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
! [X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(X0,X3)
| ca_Vx3(X3) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X2,X0] :
( ~ cc(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f130,plain,
! [X0] :
( ~ ccxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f132,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
! [X0] :
( ~ cd(X0)
| ccxcomp(sK4(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X0] :
( ~ cd(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cd(sK5(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f137,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rinvF(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f140,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f143,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f145,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f31]) ).
fof(f146,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f149,plain,
cd(sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f123,f145]) ).
fof(f150,plain,
cc(sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f149,f132]) ).
fof(f151,plain,
! [X0] : ~ ra_Px1(sK1(i2003_11_14_17_21_4056),X0),
inference(resolution,[],[f150,f128]) ).
fof(f153,plain,
rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f124,f145]) ).
fof(f159,plain,
rf(sK1(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference(resolution,[],[f140,f153]) ).
fof(f161,plain,
rr(sK1(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference(resolution,[],[f146,f159]) ).
fof(f162,plain,
rinvR(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f161,f143]) ).
fof(f178,plain,
! [X0] :
( ~ rinvR(i2003_11_14_17_21_4056,X0)
| ca_Vx3(X0) ),
inference(resolution,[],[f125,f145]) ).
fof(f179,plain,
ca_Vx3(sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f178,f162]) ).
fof(f182,plain,
rinvF(sK1(i2003_11_14_17_21_4056),sK5(sK1(i2003_11_14_17_21_4056))),
inference(resolution,[],[f179,f137]) ).
fof(f183,plain,
cd(sK5(sK1(i2003_11_14_17_21_4056))),
inference(resolution,[],[f179,f136]) ).
fof(f187,plain,
rf(sK5(sK1(i2003_11_14_17_21_4056)),sK4(sK5(sK1(i2003_11_14_17_21_4056)))),
inference(resolution,[],[f183,f134]) ).
fof(f188,plain,
ccxcomp(sK4(sK5(sK1(i2003_11_14_17_21_4056)))),
inference(resolution,[],[f183,f133]) ).
fof(f456,plain,
rf(sK5(sK1(i2003_11_14_17_21_4056)),sK1(i2003_11_14_17_21_4056)),
inference(resolution,[],[f182,f140]) ).
fof(f513,plain,
! [X0] :
( ~ rf(sK5(sK1(i2003_11_14_17_21_4056)),X0)
| sK1(i2003_11_14_17_21_4056) = X0 ),
inference(resolution,[],[f456,f139]) ).
fof(f1008,plain,
sK1(i2003_11_14_17_21_4056) = sK4(sK5(sK1(i2003_11_14_17_21_4056))),
inference(resolution,[],[f513,f187]) ).
fof(f1025,plain,
ccxcomp(sK1(i2003_11_14_17_21_4056)),
inference(superposition,[],[f188,f1008]) ).
fof(f1039,plain,
ra_Px1(sK1(i2003_11_14_17_21_4056),sK3(sK1(i2003_11_14_17_21_4056))),
inference(resolution,[],[f1025,f130]) ).
fof(f1051,plain,
$false,
inference(forward_subsumption_resolution,[],[f1039,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS118+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.46 % Computer : n002.cluster.edu
% 0.11/0.46 % Model : x86_64 x86_64
% 0.11/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.46 % Memory : 8046.5625MB
% 0.11/0.46 % OS : Linux 6.8.0-71-generic
% 0.11/0.46 % CPULimit : 300
% 0.11/0.46 % WCLimit : 300
% 0.11/0.46 % DateTime : Sun Sep 27 13:29:37 UTC 2026
% 0.11/0.46 % CPUTime :
% 0.11/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.49 Running first-order model finding
% 0.15/0.49 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
% 0.15/0.54 % (3528391)Will run a generic schedule for satisfiability detection.
% 0.15/0.54 % (3528401)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=497311438:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.54 % (3528397)% WARNING: option uhcvi not known.
% 0.15/0.54 % (3528396)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1851744924_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.54 % (3528397)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2137645884:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.54 % (3528398)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2312813417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.54 % (3528399)dis+10_1_sil=32000:sp=arity:random_seed=1997871838:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.54 % (3528402)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4192611400:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.54 % (3528400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3219814354:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.54 % TRYING [1]
% 0.15/0.54 % TRYING [2]
% 0.15/0.54 % (3528401) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3528391-3528401"...
% 0.15/0.54 % TRYING [3]
% 0.15/0.54 % TRYING [4]
% 0.15/0.54 % (3528401)...printing done.
% 0.15/0.54 % (3528401)Refutation found. Thanks to Tanya!
% 0.15/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54 % (3528401)------------------------------
% 0.15/0.54 % (3528401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.54 % (3528401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.54 % (3528401)CaDiCaL version: 2.1.3
% 0.15/0.54 % (3528401)Termination reason: Refutation
% 0.15/0.54 % (3528401)Time elapsed: 0.010 s
% 0.15/0.54 % (3528401)Peak memory usage: 12 MB
% 0.15/0.54 % (3528401)Instructions burned: 26 (million)
% 0.15/0.54 % (3528391)Success in time 0.041 s
% 0.15/0.54 % Vampire exiting
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