%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL489+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:52:35 AM UTC 2026
% Result : Theorem 6.64s 1.96s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 32 unt; 0 def)
% Number of atoms : 128 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 98 ( 43 ~; 39 |; 2 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 129 ( 127 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3) ).
fof(f24,axiom,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4) ).
fof(f26,axiom,
( r5
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r5) ).
fof(f28,axiom,
( op_and
=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and) ).
fof(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(f33,axiom,
op_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_modus_ponens) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r4) ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r5) ).
fof(f45,conjecture,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f46,negated_conjecture,
~ and_3,
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
~ and_3,
inference(flattening,[],[f46]) ).
fof(f48,plain,
( r5
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f49,plain,
( r4
=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f50,plain,
( r3
=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f53,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
=> and_3 ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f55,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f55]) ).
fof(f57,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f56]) ).
fof(f59,plain,
( and_3
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(ennf_transformation,[],[f53]) ).
fof(f62,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(ennf_transformation,[],[f50]) ).
fof(f63,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(ennf_transformation,[],[f49]) ).
fof(f64,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(ennf_transformation,[],[f48]) ).
fof(f66,plain,
( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(ennf_transformation,[],[f28]) ).
fof(f68,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f70,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f59]) ).
fof(f71,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f57]) ).
fof(f73,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(cnf_transformation,[],[f70]) ).
fof(f76,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f62]) ).
fof(f77,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[],[f63]) ).
fof(f78,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(cnf_transformation,[],[f64]) ).
fof(f80,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[],[f66]) ).
fof(f82,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f68]) ).
fof(f84,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f85,plain,
op_and,
inference(cnf_transformation,[],[f33]) ).
fof(f87,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f90,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
r4,
inference(cnf_transformation,[],[f39]) ).
fof(f92,plain,
r5,
inference(cnf_transformation,[],[f40]) ).
fof(f97,plain,
~ and_3,
inference(cnf_transformation,[],[f47]) ).
fof(f99,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_subsumption_resolution,[],[f82,f84]) ).
fof(f101,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f80,f85]) ).
fof(f103,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f78,f92]) ).
fof(f104,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f77,f91]) ).
fof(f105,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
inference(forward_subsumption_resolution,[],[f76,f90]) ).
fof(f108,plain,
~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))),
inference(forward_subsumption_resolution,[],[f73,f97]) ).
fof(f110,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f71,f87]) ).
fof(f111,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[],[f101,f99]) ).
fof(f135,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f110,f103]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f110,f104]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,implies(X0,X1)))
| is_a_theorem(or(not(X0),or(X2,X1))) ),
inference(superposition,[],[f136,f99]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(not(X0),X2))) ),
inference(superposition,[],[f136,f99]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,implies(X0,X2))) ),
inference(forward_demodulation,[],[f139,f99]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,implies(X0,X1)))
| is_a_theorem(implies(X0,or(X2,X1))) ),
inference(forward_demodulation,[],[f138,f99]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(or(not(X0),implies(X2,X1))) ),
inference(superposition,[],[f140,f99]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(forward_demodulation,[],[f144,f99]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f135,f110]) ).
fof(f173,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f105,f99]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(not(X0),X2)) ),
inference(superposition,[],[f166,f99]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f185,f99]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(implies(X0,or(X2,X1))) ),
inference(resolution,[],[f186,f105]) ).
fof(f244,plain,
! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[],[f99,f111]) ).
fof(f366,plain,
! [X0,X1] : is_a_theorem(implies(implies(X1,not(X0)),implies(X0,not(X1)))),
inference(superposition,[],[f173,f99]) ).
fof(f368,plain,
! [X0,X1] : is_a_theorem(or(and(X1,X0),implies(X0,not(X1)))),
inference(forward_demodulation,[],[f366,f244]) ).
fof(f373,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(and(X1,X0),not(X1)))),
inference(resolution,[],[f368,f141]) ).
fof(f402,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(not(X1),and(X1,X0)))),
inference(resolution,[],[f373,f193]) ).
fof(f412,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X1,X0)))),
inference(forward_demodulation,[],[f402,f99]) ).
fof(f413,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(resolution,[],[f412,f147]) ).
fof(f419,plain,
$false,
inference(resolution,[],[f413,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL489+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:51:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.64/1.96 % (1125424)Detected formulas, will run a generic FOF schedule.
% 6.64/1.96 % (1125431)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=3298388185:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.64/1.96 % (1125432)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2502793627:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.64/1.96 % (1125433)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=273610813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.64/1.96 % (1125430)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=73692453:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.64/1.96 % (1125435)dis-21_1_sil=8000:lcm=predicate:random_seed=2386636058: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)
% 6.64/1.96 % (1125429)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=1595756389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.64/1.96 % (1125434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2743100970:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.64/1.96 % (1125433)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125433)------------------------------
% 6.64/1.96 % (1125433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125432)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125432)------------------------------
% 6.64/1.96 % (1125432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125433)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125433)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125433)Time elapsed: 0.001 s
% 6.64/1.96 % (1125433)Peak memory usage: 86 MB
% 6.64/1.96 % (1125432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125432)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125432)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125432)Time elapsed: 0.001 s
% 6.64/1.96 % (1125432)Peak memory usage: 86 MB
% 6.64/1.96 % (1125435)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125435)------------------------------
% 6.64/1.96 % (1125435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125435)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125435)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125435)Time elapsed: 0.001 s
% 6.64/1.96 % (1125435)Peak memory usage: 88 MB
% 6.64/1.96 % (1125435)Instructions burned: 1 (million)
% 6.64/1.96 % (1125434)Instruction limit reached!
% 6.64/1.96 % (1125434)------------------------------
% 6.64/1.96 % (1125434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125434)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125434)Termination reason: Instruction limit
% 6.64/1.96 % (1125434)Termination phase: Saturation
% 6.64/1.96 % (1125434)Time elapsed: 0.088 s
% 6.64/1.96 % (1125434)Peak memory usage: 90 MB
% 6.64/1.96 % (1125434)Instructions burned: 139 (million)
% 6.64/1.96 % (1125432)------------------------------
% 6.64/1.96 % (1125432)------------------------------
% 6.64/1.96 % (1125433)------------------------------
% 6.64/1.96 % (1125433)------------------------------
% 6.64/1.96 % (1125435)------------------------------
% 6.64/1.96 % (1125435)------------------------------
% 6.64/1.96 % (1125443)lrs+10_1_sil=8000:sp=occurrence:random_seed=1302133686:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.64/1.96 % (1125443)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125443)------------------------------
% 6.64/1.96 % (1125443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125443)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125443)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125443)Time elapsed: 0.001 s
% 6.64/1.96 % (1125443)Peak memory usage: 87 MB
% 6.64/1.96 % (1125431)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125431)------------------------------
% 6.64/1.96 % (1125431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125431)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125431)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125431)Time elapsed: 0.320 s
% 6.64/1.96 % (1125431)Peak memory usage: 127 MB
% 6.64/1.96 % (1125431)Instructions burned: 824 (million)
% 6.64/1.96 % (1125445)lrs+10_1_sil=32000:urr=on:br=off:random_seed=581859491:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.64/1.96 % (1125447)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3911881007:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.64/1.96 % (1125446)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3923382007:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.64/1.96 % (1125446)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125446)------------------------------
% 6.64/1.96 % (1125446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125445)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125445)------------------------------
% 6.64/1.96 % (1125445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125446)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125446)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125446)Time elapsed: 0.001 s
% 6.64/1.96 % (1125445)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125446)Peak memory usage: 86 MB
% 6.64/1.96 % (1125445)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125445)Time elapsed: 0.001 s
% 6.64/1.96 % (1125445)Peak memory usage: 87 MB
% 6.64/1.96 % (1125431)------------------------------
% 6.64/1.96 % (1125431)------------------------------
% 6.64/1.96 % (1125443)------------------------------
% 6.64/1.96 % (1125443)------------------------------
% 6.64/1.96 % (1125447)Instruction limit reached!
% 6.64/1.96 % (1125447)------------------------------
% 6.64/1.96 % (1125447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125447)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125447)Termination reason: Instruction limit
% 6.64/1.96 % (1125447)Termination phase: Saturation
% 6.64/1.96 % (1125447)Time elapsed: 0.160 s
% 6.64/1.96 % (1125447)Peak memory usage: 92 MB
% 6.64/1.96 % (1125447)Instructions burned: 248 (million)
% 6.64/1.96 % (1125451)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=721121405:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.64/1.96 % (1125451)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125451)------------------------------
% 6.64/1.96 % (1125451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125451)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125451)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125451)Time elapsed: 0.0000 s
% 6.64/1.96 % (1125451)Peak memory usage: 86 MB
% 6.64/1.96 % (1125452)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=786901236:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.64/1.96 % (1125446)------------------------------
% 6.64/1.96 % (1125446)------------------------------
% 6.64/1.96 % (1125445)------------------------------
% 6.64/1.96 % (1125445)------------------------------
% 6.64/1.96 % (1125429)First to succeed.
% 6.64/1.96 % (1125429)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1125424"
% 6.64/1.96 % (1125451)------------------------------
% 6.64/1.96 % (1125451)------------------------------
% 6.64/1.96 % (1125453)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2020277280:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.64/1.96 % (1125453)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125453)------------------------------
% 6.64/1.96 % (1125453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125453)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125453)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125453)Time elapsed: 0.001 s
% 6.64/1.96 % (1125453)Peak memory usage: 88 MB
% 6.64/1.96 % (1125457)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2881252237:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.64/1.96 % (1125456)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1569979174:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.64/1.96 % (1125457)Refutation not found, incomplete strategy
% 6.64/1.96 % (1125457)------------------------------
% 6.64/1.96 % (1125457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125457)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125457)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.96 % (1125457)Time elapsed: 0.001 s
% 6.64/1.96 % (1125457)Peak memory usage: 87 MB
% 6.64/1.96 % (1125459)lrs+10_1_sil=8000:sp=occurrence:random_seed=514022932:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.64/1.96 % (1125456)Instruction limit reached!
% 6.64/1.96 % (1125456)------------------------------
% 6.64/1.96 % (1125456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.96 % (1125456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.96 % (1125456)CaDiCaL version: 2.1.3
% 6.64/1.96 % (1125456)Termination reason: Instruction limit
% 6.64/1.96 % (1125456)Termination phase: Saturation
% 6.64/1.96 % (1125456)Time elapsed: 0.069 s
% 6.64/1.96 % (1125456)Peak memory usage: 88 MB
% 6.64/1.96 % (1125456)Instructions burned: 128 (million)
% 6.64/1.96 % (1125429)Refutation found. Thanks to Tanya!
% 6.64/1.96 % SZS status Theorem for theBenchmark
% 6.64/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/2.15 % (1125429)------------------------------
% 8.44/2.15 % (1125429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.15 % (1125429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.15 % (1125429)CaDiCaL version: 2.1.3
% 8.44/2.15 % (1125429)Termination reason: Refutation
% 8.44/2.15 % (1125429)Time elapsed: 0.679 s
% 8.44/2.15 % (1125429)Peak memory usage: 127 MB
% 8.44/2.15 % (1125429)Instructions burned: 997 (million)
% 8.44/2.15 % (1125429)------------------------------
% 8.44/2.15 % (1125429)------------------------------
% 8.44/2.15 % (1125424)Success in time 1.107 s
% 8.44/2.15 % Vampire exiting
%------------------------------------------------------------------------------