%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:41:35 AM UTC 2026
% Result : Unsatisfiable 3.65s 1.47s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 118 ( 42 ~; 35 |; 36 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 27 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X1] :
( rs(X0,X1)
=> ~ cp(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( rs(X0,X3)
=> ~ cp(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X4] :
( rs(X0,X4)
& cp(X4)
& ? [X5] :
( rinvS(X4,X5)
& cp(X5) ) )
& ! [X6] :
( ~ cp(X6)
| ~ rs(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ( cp(sK0(X0))
& rs(X0,sK0(X0)) ) )
& ( ( rs(X0,sK1(X0))
& cp(sK1(X0))
& rinvS(sK1(X0),sK2(X0))
& cp(sK2(X0))
& ! [X6] :
( ~ cp(X6)
| ~ rs(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f80]) ).
fof(f107,plain,
! [X0,X6] :
( ~ cUnsatisfiable(X0)
| ~ rs(X0,X6)
| ~ cp(X6) ),
inference(cnf_transformation,[],[f81]) ).
fof(f110,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf_transformation,[],[f28]) ).
fof(f147,plain,
! [X0] :
( ~ rs(i2003_11_14_17_18_59896,X0)
| ~ cp(X0) ),
inference(resolution,[],[f107,f123]) ).
fof(f148,plain,
( ~ cp(sK1(i2003_11_14_17_18_59896))
| ~ cUnsatisfiable(i2003_11_14_17_18_59896) ),
inference(resolution,[],[f147,f111]) ).
fof(f150,plain,
~ cUnsatisfiable(i2003_11_14_17_18_59896),
inference(forward_subsumption_resolution,[],[f148,f110]) ).
fof(f151,plain,
$false,
inference(forward_subsumption_resolution,[],[f150,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:21:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.65/1.47 % (2352279)Detected formulas, will run a generic FOF schedule.
% 3.65/1.47 % (2352287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1866376836:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.47 % (2352287)Refutation not found, incomplete strategy
% 3.65/1.47 % (2352287)------------------------------
% 3.65/1.47 % (2352287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (2352287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (2352287)CaDiCaL version: 2.1.3
% 3.65/1.47 % (2352287)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.47 % (2352287)Time elapsed: 0.0000 s
% 3.65/1.47 % (2352287)Peak memory usage: 86 MB
% 3.65/1.47 % (2352288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3862084651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.47 % (2352285)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2887106046:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.47 % (2352290)dis-21_1_sil=8000:lcm=predicate:random_seed=3177528502:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.65/1.47 % (2352286)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=137351716:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.47 % (2352284)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3960967240:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.47 % (2352289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2719210804:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.47 % (2352288)Refutation not found, incomplete strategy
% 3.65/1.47 % (2352288)------------------------------
% 3.65/1.47 % (2352288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (2352288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (2352288)CaDiCaL version: 2.1.3
% 3.65/1.47 % (2352288)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.47 % (2352288)Time elapsed: 0.0000 s
% 3.65/1.47 % (2352288)Peak memory usage: 86 MB
% 3.65/1.47 % (2352289)First to succeed.
% 3.65/1.47 % (2352290)Also succeeded, but the first one will report.
% 3.65/1.47 % (2352289)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2352279"
% 3.65/1.47 % (2352287)------------------------------
% 3.65/1.47 % (2352287)------------------------------
% 3.65/1.47 % (2352298)lrs+10_1_sil=8000:sp=occurrence:random_seed=3998969941:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.65/1.47 % (2352298)Refutation not found, incomplete strategy
% 3.65/1.47 % (2352298)------------------------------
% 3.65/1.47 % (2352298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (2352298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (2352298)CaDiCaL version: 2.1.3
% 3.65/1.47 % (2352298)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.47 % (2352298)Time elapsed: 0.0000 s
% 3.65/1.47 % (2352298)Peak memory usage: 86 MB
% 3.65/1.47 % (2352288)------------------------------
% 3.65/1.47 % (2352288)------------------------------
% 3.65/1.47 % (2352289)Refutation found. Thanks to Tanya!
% 3.65/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.47 % (2352289)------------------------------
% 3.65/1.47 % (2352289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (2352289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (2352289)CaDiCaL version: 2.1.3
% 3.65/1.47 % (2352289)Termination reason: Refutation
% 3.65/1.47 % (2352289)Time elapsed: 0.003 s
% 3.65/1.47 % (2352289)Peak memory usage: 88 MB
% 3.65/1.47 % (2352289)Instructions burned: 2 (million)
% 3.65/1.47 % (2352289)------------------------------
% 3.65/1.47 % (2352289)------------------------------
% 3.65/1.47 % (2352279)Success in time 0.434 s
% 3.65/1.47 % Vampire exiting
%------------------------------------------------------------------------------