%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS117+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 : n016.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 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 135 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 136 ( 58 ~; 49 |; 14 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 76 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ? [X1] :
( rinvF(X0,X1)
& cd(X1) ) ) ),
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] :
( cowlThing(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_37349),
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)
<=> ( ccxcomp(X0)
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) ) ) ),
inference(rectify,[],[f22]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1) )
& ? [X2] :
( rinvF(X0,X2)
& cd(X2) ) ) ),
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) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f99,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f102,plain,
! [X0,X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f105,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f106,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f111,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f113,plain,
! [X0] :
( ccxcomp(sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f114,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f115,plain,
! [X0] :
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f116,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cd(sK5(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f117,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rinvF(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f121,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f122,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f125,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(cnf_transformation,[],[f31]) ).
fof(f126,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f147,plain,
cd(sK0(i2003_11_14_17_21_37349)),
inference(resolution,[],[f105,f125]) ).
fof(f148,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(resolution,[],[f109,f115]) ).
fof(f149,plain,
rinvF(i2003_11_14_17_21_37349,sK0(i2003_11_14_17_21_37349)),
inference(resolution,[],[f106,f125]) ).
fof(f151,plain,
! [X0] :
( ~ ccxcomp(X0)
| ~ cd(X0) ),
inference(resolution,[],[f111,f148]) ).
fof(f154,plain,
! [X0] :
( ~ cd(sK4(X0))
| ~ cd(X0) ),
inference(resolution,[],[f151,f113]) ).
fof(f156,plain,
rf(sK0(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolution,[],[f121,f149]) ).
fof(f159,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0)
| rinvF(X1,sK5(X1)) ),
inference(resolution,[],[f102,f117]) ).
fof(f160,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0)
| cd(sK5(X1)) ),
inference(resolution,[],[f102,f116]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(resolution,[],[f119,f99]) ).
fof(f177,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| cd(sK5(X1))
| ~ rr(X1,X0) ),
inference(resolution,[],[f160,f122]) ).
fof(f185,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| rinvF(X1,sK5(X1))
| ~ rr(X1,X0) ),
inference(resolution,[],[f159,f122]) ).
fof(f187,plain,
! [X0] :
( ~ rr(X0,i2003_11_14_17_21_37349)
| cd(sK5(X0)) ),
inference(resolution,[],[f177,f125]) ).
fof(f192,plain,
! [X0] :
( ~ rf(X0,i2003_11_14_17_21_37349)
| cd(sK5(X0)) ),
inference(resolution,[],[f187,f126]) ).
fof(f200,plain,
cd(sK5(sK0(i2003_11_14_17_21_37349))),
inference(resolution,[],[f192,f156]) ).
fof(f212,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK4(X0) = X1
| ~ cd(X0) ),
inference(resolution,[],[f176,f114]) ).
fof(f260,plain,
! [X0] :
( ~ rr(X0,i2003_11_14_17_21_37349)
| rinvF(X0,sK5(X0)) ),
inference(resolution,[],[f185,f125]) ).
fof(f267,plain,
! [X0] :
( rinvF(X0,sK5(X0))
| ~ rf(X0,i2003_11_14_17_21_37349) ),
inference(resolution,[],[f260,f126]) ).
fof(f305,plain,
! [X0] :
( rf(sK5(X0),X0)
| ~ rf(X0,i2003_11_14_17_21_37349) ),
inference(resolution,[],[f267,f121]) ).
fof(f355,plain,
! [X0] :
( ~ rf(X0,i2003_11_14_17_21_37349)
| sK4(sK5(X0)) = X0
| ~ cd(sK5(X0)) ),
inference(resolution,[],[f305,f212]) ).
fof(f359,plain,
! [X0] :
( ~ rf(X0,i2003_11_14_17_21_37349)
| sK4(sK5(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f355,f192]) ).
fof(f421,plain,
sK0(i2003_11_14_17_21_37349) = sK4(sK5(sK0(i2003_11_14_17_21_37349))),
inference(resolution,[],[f359,f156]) ).
fof(f462,plain,
( ~ cd(sK0(i2003_11_14_17_21_37349))
| ~ cd(sK5(sK0(i2003_11_14_17_21_37349))) ),
inference(superposition,[],[f154,f421]) ).
fof(f467,plain,
~ cd(sK5(sK0(i2003_11_14_17_21_37349))),
inference(forward_subsumption_resolution,[],[f462,f147]) ).
fof(f468,plain,
$false,
inference(forward_subsumption_resolution,[],[f467,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:30:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.15/0.48 % (2653357)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (2653362)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2131140812_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % TRYING [4]
% 0.15/0.48 % TRYING [5]
% 0.15/0.48 % (2653363)% WARNING: option uhcvi not known.
% 0.15/0.48 % TRYING [6]
% 0.15/0.48 % TRYING [7]
% 0.15/0.48 % (2653363)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2174631761:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (2653364)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3234165150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (2653365)dis+10_1_sil=32000:sp=arity:random_seed=651864728:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (2653367)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3360391006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (2653366)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3895742945:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (2653368)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2671378561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [8]
% 0.15/0.48 % TRYING [9]
% 0.15/0.48 % (2653366) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2653357-2653366"...
% 0.15/0.48 % TRYING [10]
% 0.15/0.48 % (2653365) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2653357-2653365"...
% 0.15/0.48 % (2653366)...printing done.
% 0.15/0.48 % (2653366)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (2653366)------------------------------
% 0.15/0.48 % (2653366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (2653366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (2653366)CaDiCaL version: 2.1.3
% 0.15/0.48 % (2653366)Termination reason: Refutation
% 0.15/0.48 % (2653366)Time elapsed: 0.014 s
% 0.15/0.48 % (2653366)Peak memory usage: 12 MB
% 0.15/0.48 % (2653366)Instructions burned: 23 (million)
% 0.15/0.48 % (2653357)Success in time 0.051 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------