%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS096+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 : n007.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 11:41:38 AM UTC 2026
% Result : Unsatisfiable 3.72s 1.47s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 133 ( 18 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 165 ( 59 ~; 53 |; 46 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 67 ( 47 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f13,axiom,
! [X0] :
( cc(X0)
=> ~ cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_20_18265),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f15,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,[],[f12]) ).
fof(f34,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,[],[f15]) ).
fof(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,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,[],[f35]) ).
fof(f39,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,[],[f38]) ).
fof(f40,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,[],[f39]) ).
fof(f41,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))],[f40]) ).
fof(f55,plain,
! [X0,X8,X7] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X7)
| ~ rr(X0,X8)
| X7 = X8 ),
inference(cnf_transformation,[],[f41]) ).
fof(f56,plain,
! [X0] :
( cd(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
! [X0] :
( rr(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X0] :
( cc(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f64,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(cnf_transformation,[],[f14]) ).
fof(f74,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f56,f63]) ).
fof(f75,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_18265,X0)
| ~ rr(i2003_11_14_17_20_18265,X1)
| X0 = X1 ),
inference(resolution,[],[f55,f64]) ).
fof(f77,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_18265,X0)
| sK2(i2003_11_14_17_20_18265) = X0
| ~ cUnsatisfiable(i2003_11_14_17_20_18265) ),
inference(resolution,[],[f75,f59]) ).
fof(f79,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_18265,X0)
| sK2(i2003_11_14_17_20_18265) = X0 ),
inference(forward_subsumption_resolution,[],[f77,f64]) ).
fof(f82,plain,
( sK3(i2003_11_14_17_20_18265) = sK2(i2003_11_14_17_20_18265)
| ~ cUnsatisfiable(i2003_11_14_17_20_18265) ),
inference(resolution,[],[f79,f57]) ).
fof(f85,plain,
sK3(i2003_11_14_17_20_18265) = sK2(i2003_11_14_17_20_18265),
inference(forward_subsumption_resolution,[],[f82,f64]) ).
fof(f88,plain,
( ~ cc(sK2(i2003_11_14_17_20_18265))
| ~ cUnsatisfiable(i2003_11_14_17_20_18265) ),
inference(superposition,[],[f74,f85]) ).
fof(f91,plain,
~ cUnsatisfiable(i2003_11_14_17_20_18265),
inference(forward_subsumption_resolution,[],[f88,f58]) ).
fof(f92,plain,
$false,
inference(forward_subsumption_resolution,[],[f91,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 13:21:10 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 3.72/1.47 % (1416482)Detected formulas, will run a generic FOF schedule.
% 3.72/1.47 % (1416493)dis-21_1_sil=8000:lcm=predicate:random_seed=1017451505: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)
% 3.72/1.47 % (1416493)Refutation not found, incomplete strategy
% 3.72/1.47 % (1416493)------------------------------
% 3.72/1.47 % (1416493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.47 % (1416493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.47 % (1416493)CaDiCaL version: 2.1.3
% 3.72/1.47 % (1416493)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.47 % (1416493)Time elapsed: 0.001 s
% 3.72/1.47 % (1416493)Peak memory usage: 88 MB
% 3.72/1.47 % (1416493)Instructions burned: 2 (million)
% 3.72/1.47 % (1416491)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1326650019:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.72/1.47 % (1416488)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=3592414936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.72/1.47 % (1416487)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=2593731631:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.72/1.47 % (1416490)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1602644021:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.72/1.47 % (1416489)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=382522110:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.72/1.47 % (1416491)Refutation not found, incomplete strategy
% 3.72/1.47 % (1416491)------------------------------
% 3.72/1.47 % (1416491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.47 % (1416491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.47 % (1416491)CaDiCaL version: 2.1.3
% 3.72/1.47 % (1416490)Refutation not found, incomplete strategy
% 3.72/1.47 % (1416490)------------------------------
% 3.72/1.47 % (1416490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.47 % (1416491)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.47 % (1416491)Time elapsed: 0.0000 s
% 3.72/1.47 % (1416491)Peak memory usage: 86 MB
% 3.72/1.47 % (1416490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.47 % (1416490)CaDiCaL version: 2.1.3
% 3.72/1.47 % (1416490)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.47 % (1416490)Time elapsed: 0.0000 s
% 3.72/1.47 % (1416490)Peak memory usage: 86 MB
% 3.72/1.47 % (1416492)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=473242117:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.72/1.47 % (1416492)First to succeed.
% 3.72/1.47 % (1416492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1416482"
% 3.72/1.47 % (1416493)------------------------------
% 3.72/1.47 % (1416493)------------------------------
% 3.72/1.47 % (1416501)lrs+10_1_sil=8000:sp=occurrence:random_seed=1545938129:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.72/1.47 % (1416501)Refutation not found, incomplete strategy
% 3.72/1.47 % (1416501)------------------------------
% 3.72/1.47 % (1416501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.47 % (1416501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.47 % (1416501)CaDiCaL version: 2.1.3
% 3.72/1.47 % (1416501)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.47 % (1416501)Time elapsed: 0.0000 s
% 3.72/1.47 % (1416501)Peak memory usage: 86 MB
% 3.72/1.47 % (1416491)------------------------------
% 3.72/1.47 % (1416491)------------------------------
% 3.72/1.47 % (1416490)------------------------------
% 3.72/1.47 % (1416490)------------------------------
% 3.72/1.47 % (1416492)Refutation found. Thanks to Tanya!
% 3.72/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.72/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.47 % (1416492)------------------------------
% 3.72/1.47 % (1416492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.47 % (1416492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.47 % (1416492)CaDiCaL version: 2.1.3
% 3.72/1.47 % (1416492)Termination reason: Refutation
% 3.72/1.47 % (1416492)Time elapsed: 0.003 s
% 3.72/1.47 % (1416492)Peak memory usage: 89 MB
% 3.72/1.47 % (1416492)Instructions burned: 2 (million)
% 3.72/1.47 % (1416492)------------------------------
% 3.72/1.47 % (1416492)------------------------------
% 3.72/1.47 % (1416482)Success in time 0.446 s
% 3.72/1.47 % Vampire exiting
%------------------------------------------------------------------------------