%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:41:43 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 5 unt; 0 def)
% Number of atoms : 171 ( 18 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 207 ( 76 ~; 69 |; 52 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 94 ( 68 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X2,X3] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f16,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f18,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f20,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( ( rr(X0,X3)
& rr(X0,X4) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f15]) ).
fof(f45,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0] :
( cd(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f50,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cc(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cd(X2) )
| ? [X3,X4] :
( X3 != X4
& rr(X0,X3)
& rr(X0,X4) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f51,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cc(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cd(X2) )
| ? [X3,X4] :
( X3 != X4
& rr(X0,X3)
& rr(X0,X4) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cc(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cd(X2) )
| ? [X3,X4] :
( X3 != X4
& rr(X0,X3)
& rr(X0,X4) ) )
& ( ( ? [X5] :
( rr(X0,X5)
& cc(X5) )
& ? [X6] :
( rr(X0,X6)
& cd(X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rr(X0,X7)
| ~ rr(X0,X8) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cc(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cd(X2) )
| ( sK0(X0) != sK1(X0)
& rr(X0,sK0(X0))
& rr(X0,sK1(X0)) ) )
& ( ( rr(X0,sK2(X0))
& cc(sK2(X0))
& rr(X0,sK3(X0))
& cd(sK3(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rr(X0,X7)
| ~ rr(X0,X8) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0)),skolemize(X6,sK3(X0))],[f52]) ).
fof(f54,plain,
! [X0] :
( ( cd(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f55,plain,
! [X0] :
( ( cd(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cd(X0) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ( cd(X0)
| ra_Px1(X0,sK4(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cd(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f55]) ).
fof(f57,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cdxcomp(X0) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK5(X0))
| ~ cdxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f58]) ).
fof(f76,plain,
! [X0,X8,X7] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X7)
| ~ rr(X0,X8)
| X7 = X8 ),
inference(cnf_transformation,[],[f53]) ).
fof(f77,plain,
! [X0] :
( cd(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f78,plain,
! [X0] :
( rr(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f79,plain,
! [X0] :
( cc(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f80,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f84,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f85,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f87,plain,
! [X0] :
( ra_Px1(X0,sK5(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f89,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf_transformation,[],[f19]) ).
fof(f102,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ cd(X0) ),
inference(resolution,[],[f87,f85]) ).
fof(f104,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(resolution,[],[f102,f84]) ).
fof(f105,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_22_27794,X0)
| ~ rr(i2003_11_14_17_22_27794,X1)
| X0 = X1 ),
inference(resolution,[],[f76,f89]) ).
fof(f106,plain,
! [X0] :
( ~ cd(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f104,f79]) ).
fof(f112,plain,
! [X0] :
( ~ rr(i2003_11_14_17_22_27794,X0)
| sK3(i2003_11_14_17_22_27794) = X0
| ~ cUnsatisfiable(i2003_11_14_17_22_27794) ),
inference(resolution,[],[f105,f78]) ).
fof(f114,plain,
! [X0] :
( ~ rr(i2003_11_14_17_22_27794,X0)
| sK3(i2003_11_14_17_22_27794) = X0 ),
inference(forward_subsumption_resolution,[],[f112,f89]) ).
fof(f118,plain,
( sK2(i2003_11_14_17_22_27794) = sK3(i2003_11_14_17_22_27794)
| ~ cUnsatisfiable(i2003_11_14_17_22_27794) ),
inference(resolution,[],[f114,f80]) ).
fof(f120,plain,
sK2(i2003_11_14_17_22_27794) = sK3(i2003_11_14_17_22_27794),
inference(forward_subsumption_resolution,[],[f118,f89]) ).
fof(f122,plain,
( cd(sK2(i2003_11_14_17_22_27794))
| ~ cUnsatisfiable(i2003_11_14_17_22_27794) ),
inference(superposition,[],[f77,f120]) ).
fof(f123,plain,
~ cUnsatisfiable(i2003_11_14_17_22_27794),
inference(forward_subsumption_resolution,[],[f122,f106]) ).
fof(f124,plain,
$false,
inference(forward_subsumption_resolution,[],[f123,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:31:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.50 % (1677230)Detected formulas, will run a generic FOF schedule.
% 0.17/1.50 % (1677235)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=4097759118:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.50 % (1677239)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3952225862:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.50 % (1677241)dis-21_1_sil=8000:lcm=predicate:random_seed=1724553960: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)
% 0.17/1.50 % (1677240)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107182436:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.50 % (1677238)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2753476619:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.50 % (1677236)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=2219218783:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.50 % (1677237)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=1222417857:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.50 % (1677239)Refutation not found, incomplete strategy
% 0.17/1.50 % (1677239)------------------------------
% 0.17/1.50 % (1677239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1677239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1677239)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1677238)Refutation not found, incomplete strategy
% 0.17/1.50 % (1677238)------------------------------
% 0.17/1.50 % (1677238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1677239)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1677239)Time elapsed: 0.0000 s
% 0.17/1.50 % (1677239)Peak memory usage: 86 MB
% 0.17/1.50 % (1677238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1677238)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1677238)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1677238)Time elapsed: 0.0000 s
% 0.17/1.50 % (1677238)Peak memory usage: 86 MB
% 0.17/1.50 % (1677241)Refutation not found, incomplete strategy
% 0.17/1.50 % (1677241)------------------------------
% 0.17/1.50 % (1677241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1677241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1677241)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1677241)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1677241)Time elapsed: 0.002 s
% 0.17/1.50 % (1677241)Peak memory usage: 88 MB
% 0.17/1.50 % (1677241)Instructions burned: 2 (million)
% 0.17/1.50 % (1677240)First to succeed.
% 0.17/1.50 % (1677240)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1677230"
% 0.17/1.50 % (1677241)------------------------------
% 0.17/1.50 % (1677241)------------------------------
% 0.17/1.50 % (1677238)------------------------------
% 0.17/1.50 % (1677238)------------------------------
% 0.17/1.50 % (1677239)------------------------------
% 0.17/1.50 % (1677239)------------------------------
% 0.17/1.50 % (1677240)Refutation found. Thanks to Tanya!
% 0.17/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (1677240)------------------------------
% 0.17/1.50 % (1677240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1677240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1677240)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1677240)Termination reason: Refutation
% 0.17/1.50 % (1677240)Time elapsed: 0.003 s
% 0.17/1.50 % (1677240)Peak memory usage: 89 MB
% 0.17/1.50 % (1677240)Instructions burned: 3 (million)
% 0.17/1.50 % (1677240)------------------------------
% 0.17/1.50 % (1677240)------------------------------
% 0.17/1.50 % (1677230)Success in time 0.436 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------