%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS108+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 : n014.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 11:42:17 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 222 ( 17 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 270 ( 104 ~; 96 |; 59 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 107 ( 85 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rinvR(X0,X1)
& ca_Ax14(X1) )
& cp2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f43,axiom,
! [X0] :
( cp1(X0)
=> ca_Cx1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f44,axiom,
! [X0] :
( cp2(X0)
<=> ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f46,axiom,
! [X0] :
( cp2xcomp(X0)
<=> ~ ? [X1] : ra_Px5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f55,axiom,
! [X0] :
( ca_Ax14(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f56,axiom,
! [X0] :
( ca_Cx1(X0)
<=> ( cp2xcomp(X0)
& cp5xcomp(X0)
& cp3xcomp(X0)
& cp4xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f65,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f66,axiom,
cUnsatisfiable(i2003_11_14_17_21_04740),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f145,plain,
! [X0] :
( ca_Cx1(X0)
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f147,plain,
! [X0] :
( cp2xcomp(X0)
<=> ! [X1] : ~ ra_Px5(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f153,plain,
! [X0] :
( ca_Ax14(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f154,plain,
! [X0] :
( ca_Ax14(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) ) ),
inference(flattening,[],[f153]) ).
fof(f159,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax14(X1) )
| ~ cp2(X0) )
& ( ( ? [X1] :
( rinvR(X0,X1)
& ca_Ax14(X1) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f160,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax14(X1) )
| ~ cp2(X0) )
& ( ( ? [X1] :
( rinvR(X0,X1)
& ca_Ax14(X1) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax14(X1) )
| ~ cp2(X0) )
& ( ( ? [X2] :
( rinvR(X0,X2)
& ca_Ax14(X2) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax14(X1) )
| ~ cp2(X0) )
& ( ( rinvR(X0,sK0(X0))
& ca_Ax14(sK0(X0))
& cp2(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f161]) ).
fof(f163,plain,
! [X0] :
( ( cp2(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X1] : ra_Px5(X0,X1)
| ~ cp2(X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f164,plain,
! [X0] :
( ( cp2(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ? [X2] : ra_Px5(X0,X2)
| ~ cp2(X0) ) ),
inference(rectify,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ( cp2(X0)
| ! [X1] : ~ ra_Px5(X0,X1) )
& ( ra_Px5(X0,sK1(X0))
| ~ cp2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f164]) ).
fof(f166,plain,
! [X0] :
( ( cp2xcomp(X0)
| ? [X1] : ra_Px5(X0,X1) )
& ( ! [X1] : ~ ra_Px5(X0,X1)
| ~ cp2xcomp(X0) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f167,plain,
! [X0] :
( ( cp2xcomp(X0)
| ? [X1] : ra_Px5(X0,X1) )
& ( ! [X2] : ~ ra_Px5(X0,X2)
| ~ cp2xcomp(X0) ) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ( cp2xcomp(X0)
| ra_Px5(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px5(X0,X2)
| ~ cp2xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f167]) ).
fof(f187,plain,
! [X0] :
( ( ca_Ax14(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp1(X1) )
| ? [X2,X3] :
( X2 != X3
& rr(X0,X2)
& rr(X0,X3) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) )
| ~ ca_Ax14(X0) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f188,plain,
! [X0] :
( ( ca_Ax14(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp1(X1) )
| ? [X2,X3] :
( X2 != X3
& rr(X0,X2)
& rr(X0,X3) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) )
| ~ ca_Ax14(X0) ) ),
inference(flattening,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ( ca_Ax14(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp1(X1) )
| ? [X2,X3] :
( X2 != X3
& rr(X0,X2)
& rr(X0,X3) ) )
& ( ( ? [X4] :
( rr(X0,X4)
& cp1(X4) )
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X5)
| ~ rr(X0,X6) ) )
| ~ ca_Ax14(X0) ) ),
inference(rectify,[],[f188]) ).
fof(f190,plain,
! [X0] :
( ( ca_Ax14(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp1(X1) )
| ( sK9(X0) != sK10(X0)
& rr(X0,sK9(X0))
& rr(X0,sK10(X0)) ) )
& ( ( rr(X0,sK11(X0))
& cp1(sK11(X0))
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X5)
| ~ rr(X0,X6) ) )
| ~ ca_Ax14(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X2,sK9(X0)),skolemize(X3,sK10(X0)),skolemize(X4,sK11(X0))],[f189]) ).
fof(f191,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ cp2xcomp(X0)
| ~ cp5xcomp(X0)
| ~ cp3xcomp(X0)
| ~ cp4xcomp(X0) )
& ( ( cp2xcomp(X0)
& cp5xcomp(X0)
& cp3xcomp(X0)
& cp4xcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f192,plain,
! [X0] :
( ( ca_Cx1(X0)
| ~ cp2xcomp(X0)
| ~ cp5xcomp(X0)
| ~ cp3xcomp(X0)
| ~ cp4xcomp(X0) )
& ( ( cp2xcomp(X0)
& cp5xcomp(X0)
& cp3xcomp(X0)
& cp4xcomp(X0) )
| ~ ca_Cx1(X0) ) ),
inference(flattening,[],[f191]) ).
fof(f215,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f259,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f260,plain,
! [X0] :
( ca_Ax14(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f261,plain,
! [X0] :
( rinvR(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f263,plain,
! [X0] :
( ~ cp1(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f264,plain,
! [X0] :
( ra_Px5(X0,sK1(X0))
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f267,plain,
! [X2,X0] :
( ~ ra_Px5(X0,X2)
| ~ cp2xcomp(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f283,plain,
! [X0,X6,X5] :
( ~ rr(X0,X6)
| ~ rr(X0,X5)
| X5 = X6
| ~ ca_Ax14(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f284,plain,
! [X0] :
( cp1(sK11(X0))
| ~ ca_Ax14(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f285,plain,
! [X0] :
( rr(X0,sK11(X0))
| ~ ca_Ax14(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f292,plain,
! [X0] :
( ~ ca_Cx1(X0)
| cp2xcomp(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f313,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f315,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(cnf_transformation,[],[f66]) ).
fof(f414,plain,
cp2(i2003_11_14_17_21_04740),
inference(resolution,[],[f259,f315]) ).
fof(f453,plain,
! [X0] :
( ca_Cx1(sK11(X0))
| ~ ca_Ax14(X0) ),
inference(resolution,[],[f284,f263]) ).
fof(f475,plain,
! [X0] :
( cp2xcomp(sK11(X0))
| ~ ca_Ax14(X0) ),
inference(resolution,[],[f453,f292]) ).
fof(f513,plain,
! [X0] :
( ~ cp2xcomp(X0)
| ~ cp2(X0) ),
inference(resolution,[],[f264,f267]) ).
fof(f638,plain,
! [X0] :
( ~ cp2(sK11(X0))
| ~ ca_Ax14(X0) ),
inference(resolution,[],[f475,f513]) ).
fof(f722,plain,
! [X0] :
( rr(sK0(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f313,f261]) ).
fof(f847,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| sK11(X0) = X1
| ~ ca_Ax14(X0)
| ~ ca_Ax14(X0) ),
inference(resolution,[],[f283,f285]) ).
fof(f850,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| sK11(X0) = X1
| ~ ca_Ax14(X0) ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f1097,plain,
! [X0] :
( sK11(sK0(X0)) = X0
| ~ ca_Ax14(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f850,f722]) ).
fof(f1099,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK11(sK0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1097,f260]) ).
fof(f1215,plain,
i2003_11_14_17_21_04740 = sK11(sK0(i2003_11_14_17_21_04740)),
inference(resolution,[],[f1099,f315]) ).
fof(f1229,plain,
( ~ cp2(i2003_11_14_17_21_04740)
| ~ ca_Ax14(sK0(i2003_11_14_17_21_04740)) ),
inference(superposition,[],[f638,f1215]) ).
fof(f1231,plain,
~ ca_Ax14(sK0(i2003_11_14_17_21_04740)),
inference(forward_subsumption_resolution,[],[f1229,f414]) ).
fof(f1232,plain,
~ cUnsatisfiable(i2003_11_14_17_21_04740),
inference(resolution,[],[f1231,f260]) ).
fof(f1233,plain,
$false,
inference(forward_subsumption_resolution,[],[f1232,f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS108+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:23:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (818549)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (818556)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1492783387:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (818555)% WARNING: option uhcvi not known.
% 0.11/0.45 % (818554)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1768526195_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (818559)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4146343118:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (818557)dis+10_1_sil=32000:sp=arity:random_seed=2416943694:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (818558)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=164729083:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (818560)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=203263280:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (818555)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1063467520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % (818556) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-818549-818556"...
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (818556)...printing done.
% 0.11/0.45 % (818557) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-818549-818557"...
% 0.11/0.45 % (818556)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (818556)------------------------------
% 0.11/0.45 % (818556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (818556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (818556)CaDiCaL version: 2.1.3
% 0.11/0.45 % (818556)Termination reason: Refutation
% 0.11/0.45 % (818556)Time elapsed: 0.011 s
% 0.11/0.45 % (818556)Peak memory usage: 12 MB
% 0.11/0.45 % (818556)Instructions burned: 28 (million)
% 0.11/0.45 % (818549)Success in time 0.036 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------