%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HAL006+1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:18:53 AM UTC 2026
% Result : Theorem 4.72s 2.04s
% Output : Refutation 8.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 20 unt; 4 def)
% Number of atoms : 175 ( 47 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 180 ( 77 ~; 68 |; 25 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 83 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ( ! [X3] :
( element(X3,X1)
=> element(apply(X0,X3),X2) )
& apply(X0,zero(X1)) = zero(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',morphism) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( element(X1,X0)
& element(X2,X0) )
=> subtract(X0,X1,subtract(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_cancellation) ).
fof(f13,axiom,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ! [X3,X4] :
( ( element(X3,X1)
& element(X4,X1) )
=> apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_distribution) ).
fof(f14,axiom,
morphism(alpha,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alpha_morphism) ).
fof(f19,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_morphism) ).
fof(f32,axiom,
! [X0] :
( element(X0,e)
=> ? [X1,X2,X3] :
( element(X1,b)
& element(X2,e)
& subtract(e,apply(g,X1),X0) = X2
& element(X3,a)
& apply(gamma,apply(f,X3)) = X2
& apply(g,apply(alpha,X3)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma8) ).
fof(f33,conjecture,
! [X0] :
( element(X0,e)
=> ? [X1,X2] :
( element(X1,b)
& element(X2,b)
& apply(g,subtract(b,X1,X2)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma12) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( element(X0,e)
=> ? [X1,X2] :
( element(X1,b)
& element(X2,b)
& apply(g,subtract(b,X1,X2)) = X0 ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( element(apply(X0,X3),X2)
| ~ element(X3,X1) )
& apply(X0,zero(X1)) = zero(X2) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f55,plain,
! [X0,X1,X2] :
( subtract(X0,X1,subtract(X0,X1,X2)) = X2
| ~ element(X1,X0)
| ~ element(X2,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f56,plain,
! [X0,X1,X2] :
( subtract(X0,X1,subtract(X0,X1,X2)) = X2
| ~ element(X1,X0)
| ~ element(X2,X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4))
| ~ element(X3,X1)
| ~ element(X4,X1) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4))
| ~ element(X3,X1)
| ~ element(X4,X1) )
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f57]) ).
fof(f60,plain,
! [X0] :
( ? [X1,X2,X3] :
( element(X1,b)
& element(X2,e)
& subtract(e,apply(g,X1),X0) = X2
& element(X3,a)
& apply(gamma,apply(f,X3)) = X2
& apply(g,apply(alpha,X3)) = X2 )
| ~ element(X0,e) ),
inference(ennf_transformation,[],[f32]) ).
fof(f61,plain,
? [X0] :
( ! [X1,X2] :
( ~ element(X1,b)
| ~ element(X2,b)
| apply(g,subtract(b,X1,X2)) != X0 )
& element(X0,e) ),
inference(ennf_transformation,[],[f34]) ).
fof(f75,plain,
! [X0] :
( ( element(sK10(X0),b)
& element(sK11(X0),e)
& sK11(X0) = subtract(e,apply(g,sK10(X0)),X0)
& element(sK12(X0),a)
& sK11(X0) = apply(gamma,apply(f,sK12(X0)))
& sK11(X0) = apply(g,apply(alpha,sK12(X0))) )
| ~ element(X0,e) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f60]) ).
fof(f76,plain,
( ! [X1,X2] :
( ~ element(X1,b)
| ~ element(X2,b)
| apply(g,subtract(b,X1,X2)) != sK13 )
& element(sK13,e) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f61]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X1)
| element(apply(X0,X3),X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| ~ element(X1,X0)
| subtract(X0,X1,subtract(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X1)
| ~ element(X4,X1)
| apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f104,plain,
morphism(alpha,a,b),
inference(cnf_transformation,[],[f14]) ).
fof(f109,plain,
morphism(g,b,e),
inference(cnf_transformation,[],[f19]) ).
fof(f126,plain,
! [X0] :
( ~ element(X0,e)
| sK11(X0) = apply(g,apply(alpha,sK12(X0))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f128,plain,
! [X0] :
( element(sK12(X0),a)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f75]) ).
fof(f129,plain,
! [X0] :
( ~ element(X0,e)
| sK11(X0) = subtract(e,apply(g,sK10(X0)),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f131,plain,
! [X0] :
( element(sK10(X0),b)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f75]) ).
fof(f132,plain,
element(sK13,e),
inference(cnf_transformation,[],[f76]) ).
fof(f133,plain,
! [X2,X1] :
( ~ element(X1,b)
| ~ element(X2,b)
| apply(g,subtract(b,X1,X2)) != sK13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f136,definition,
! [X2,X1] : sF14(X1,X2) = subtract(b,X1,X2),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f137,plain,
! [X2,X1] : subtract(b,X1,X2) = sF14(X1,X2),
inference(reorient_equations,[],[f136]) ).
fof(f138,definition,
! [X2,X1] : sF15(X1,X2) = apply(g,sF14(X1,X2)),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f139,plain,
! [X2,X1] : apply(g,sF14(X1,X2)) = sF15(X1,X2),
inference(reorient_equations,[],[f138]) ).
fof(f140,plain,
! [X2,X1] :
( sK13 != sF15(X1,X2)
| ~ element(X2,b)
| ~ element(X1,b) ),
inference(definition_folding,[],[f133,f139,f137]) ).
fof(f141,plain,
! [X0] :
( ~ element(X0,e)
| sK13 = subtract(e,X0,subtract(e,X0,sK13)) ),
inference(resolution,[],[f102,f132]) ).
fof(f146,plain,
sK11(sK13) = subtract(e,apply(g,sK10(sK13)),sK13),
inference(resolution,[],[f129,f132]) ).
fof(f188,plain,
! [X0,X1] :
( ~ element(X0,b)
| ~ element(X1,b)
| apply(g,subtract(b,X0,X1)) = subtract(e,apply(g,X0),apply(g,X1)) ),
inference(resolution,[],[f103,f109]) ).
fof(f189,plain,
! [X0,X1] :
( apply(g,sF14(X0,X1)) = subtract(e,apply(g,X0),apply(g,X1))
| ~ element(X0,b)
| ~ element(X1,b) ),
inference(forward_demodulation,[],[f188,f137]) ).
fof(f190,plain,
! [X0,X1] :
( ~ element(X1,b)
| ~ element(X0,b)
| sF15(X0,X1) = subtract(e,apply(g,X0),apply(g,X1)) ),
inference(forward_demodulation,[],[f189,f139]) ).
fof(f236,plain,
sK11(sK13) = apply(g,apply(alpha,sK12(sK13))),
inference(resolution,[],[f126,f132]) ).
fof(f276,plain,
! [X0] :
( element(apply(g,X0),e)
| ~ element(X0,b) ),
inference(resolution,[],[f78,f109]) ).
fof(f280,plain,
! [X0] :
( ~ element(X0,b)
| sK13 = subtract(e,apply(g,X0),subtract(e,apply(g,X0),sK13)) ),
inference(resolution,[],[f276,f141]) ).
fof(f292,definition,
( spl16_9
<=> element(apply(alpha,sK12(sK13)),b) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f293,plain,
( element(apply(alpha,sK12(sK13)),b)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( ~ element(apply(alpha,sK12(sK13)),b)
| spl16_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f327,definition,
( spl16_13
<=> element(sK10(sK13),b) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f329,plain,
( ~ element(sK10(sK13),b)
| spl16_13 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f340,plain,
! [X0] :
( ~ element(X0,e)
| sK13 = subtract(e,apply(g,sK10(X0)),subtract(e,apply(g,sK10(X0)),sK13)) ),
inference(resolution,[],[f280,f131]) ).
fof(f391,plain,
sK13 = subtract(e,apply(g,sK10(sK13)),subtract(e,apply(g,sK10(sK13)),sK13)),
inference(resolution,[],[f340,f132]) ).
fof(f395,plain,
sK13 = subtract(e,apply(g,sK10(sK13)),sK11(sK13)),
inference(forward_demodulation,[],[f391,f146]) ).
fof(f406,plain,
! [X0] :
( element(apply(alpha,X0),b)
| ~ element(X0,a) ),
inference(resolution,[],[f104,f78]) ).
fof(f425,plain,
( ~ element(sK12(sK13),a)
| spl16_9 ),
inference(resolution,[],[f406,f294]) ).
fof(f437,plain,
( ~ element(sK13,e)
| spl16_9 ),
inference(resolution,[],[f425,f128]) ).
fof(f438,plain,
( $false
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f437,f132]) ).
fof(f439,plain,
spl16_9,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f462,plain,
( ! [X0] :
( ~ element(X0,b)
| sF15(X0,apply(alpha,sK12(sK13))) = subtract(e,apply(g,X0),apply(g,apply(alpha,sK12(sK13)))) )
| ~ spl16_9 ),
inference(resolution,[],[f293,f190]) ).
fof(f467,plain,
( ! [X0] :
( ~ element(X0,b)
| sF15(X0,apply(alpha,sK12(sK13))) = subtract(e,apply(g,X0),sK11(sK13)) )
| ~ spl16_9 ),
inference(forward_demodulation,[],[f462,f236]) ).
fof(f478,plain,
( ! [X0] :
( ~ element(X0,e)
| sF15(sK10(X0),apply(alpha,sK12(sK13))) = subtract(e,apply(g,sK10(X0)),sK11(sK13)) )
| ~ spl16_9 ),
inference(resolution,[],[f467,f131]) ).
fof(f648,plain,
( subtract(e,apply(g,sK10(sK13)),sK11(sK13)) = sF15(sK10(sK13),apply(alpha,sK12(sK13)))
| ~ spl16_9 ),
inference(resolution,[],[f478,f132]) ).
fof(f650,plain,
( sK13 = sF15(sK10(sK13),apply(alpha,sK12(sK13)))
| ~ spl16_9 ),
inference(forward_demodulation,[],[f648,f395]) ).
fof(f652,plain,
( sK13 != sK13
| ~ element(apply(alpha,sK12(sK13)),b)
| ~ element(sK10(sK13),b)
| ~ spl16_9 ),
inference(superposition,[],[f140,f650]) ).
fof(f653,plain,
( ~ element(apply(alpha,sK12(sK13)),b)
| ~ element(sK10(sK13),b)
| ~ spl16_9 ),
inference(trivial_inequality_removal,[],[f652]) ).
fof(f654,plain,
( ~ element(sK10(sK13),b)
| ~ spl16_9 ),
inference(forward_subsumption_resolution,[],[f653,f293]) ).
fof(f655,plain,
( ~ spl16_13
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f654,f292,f327]) ).
fof(f656,plain,
( ~ element(sK13,e)
| spl16_13 ),
inference(resolution,[],[f329,f131]) ).
fof(f657,plain,
( $false
| spl16_13 ),
inference(forward_subsumption_resolution,[],[f656,f132]) ).
fof(f658,plain,
spl16_13,
inference(avatar_contradiction_clause,[],[f657]) ).
cnf(s14,plain,
spl16_9,
inference(sat_conversion,[],[f439]) ).
cnf(s17,plain,
( ~ spl16_9
| ~ spl16_13 ),
inference(sat_conversion,[],[f655]) ).
cnf(s18,plain,
spl16_13,
inference(sat_conversion,[],[f658]) ).
cnf(s19,plain,
~ spl16_9,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s14,s19]) ).
fof(f659,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HAL006+1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.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
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:49:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.72/2.04 % (616402)Detected formulas, will run a generic FOF schedule.
% 4.72/2.04 % (616410)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=512816924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.72/2.04 % (616410)Instruction limit reached!
% 4.72/2.04 % (616410)------------------------------
% 4.72/2.04 % (616410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616410)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616410)Termination reason: Instruction limit
% 4.72/2.04 % (616410)Termination phase: Saturation
% 4.72/2.04 % (616410)Time elapsed: 0.040 s
% 4.72/2.04 % (616410)Peak memory usage: 89 MB
% 4.72/2.04 % (616410)Instructions burned: 111 (million)
% 4.72/2.04 % (616412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3313128956:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.72/2.04 % (616413)dis-21_1_sil=8000:lcm=predicate:random_seed=75644067: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)
% 4.72/2.04 % (616408)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=2636642656:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.72/2.04 % (616407)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=3843431031:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.72/2.04 % (616409)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=3779830164:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.72/2.04 % (616411)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3977531292:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.72/2.04 % (616413)Refutation not found, incomplete strategy
% 4.72/2.04 % (616413)------------------------------
% 4.72/2.04 % (616413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616413)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616413)Termination reason: Refutation not found, incomplete strategy
% 4.72/2.04 % (616413)Time elapsed: 0.009 s
% 4.72/2.04 % (616413)Peak memory usage: 88 MB
% 4.72/2.04 % (616413)Instructions burned: 13 (million)
% 4.72/2.04 % (616411)Instruction limit reached!
% 4.72/2.04 % (616411)------------------------------
% 4.72/2.04 % (616411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616411)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616411)Termination reason: Instruction limit
% 4.72/2.04 % (616411)Termination phase: Saturation
% 4.72/2.04 % (616411)Time elapsed: 0.071 s
% 4.72/2.04 % (616411)Peak memory usage: 89 MB
% 4.72/2.04 % (616411)Instructions burned: 120 (million)
% 4.72/2.04 % (616412)Instruction limit reached!
% 4.72/2.04 % (616412)------------------------------
% 4.72/2.04 % (616412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616412)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616412)Termination reason: Instruction limit
% 4.72/2.04 % (616412)Termination phase: Saturation
% 4.72/2.04 % (616412)Time elapsed: 0.099 s
% 4.72/2.04 % (616412)Peak memory usage: 90 MB
% 4.72/2.04 % (616412)Instructions burned: 142 (million)
% 4.72/2.04 % (616415)lrs+10_1_sil=8000:sp=occurrence:random_seed=957024495:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.72/2.04 % (616415)Instruction limit reached!
% 4.72/2.04 % (616415)------------------------------
% 4.72/2.04 % (616415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616415)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616415)Termination reason: Instruction limit
% 4.72/2.04 % (616415)Termination phase: Saturation
% 4.72/2.04 % (616415)Time elapsed: 0.093 s
% 4.72/2.04 % (616415)Peak memory usage: 93 MB
% 4.72/2.04 % (616415)Instructions burned: 288 (million)
% 4.72/2.04 % (616422)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1431147839:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.72/2.04 % (616413)------------------------------
% 4.72/2.04 % (616413)------------------------------
% 4.72/2.04 % (616423)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3267665842:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.72/2.04 % (616422)Instruction limit reached!
% 4.72/2.04 % (616422)------------------------------
% 4.72/2.04 % (616422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616422)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616422)Termination reason: Instruction limit
% 4.72/2.04 % (616422)Termination phase: Saturation
% 4.72/2.04 % (616422)Time elapsed: 0.079 s
% 4.72/2.04 % (616422)Peak memory usage: 91 MB
% 4.72/2.04 % (616422)Instructions burned: 158 (million)
% 4.72/2.04 % (616425)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=1898819922:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.72/2.04 % (616428)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3257527100:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.72/2.04 % (616425)Instruction limit reached!
% 4.72/2.04 % (616425)------------------------------
% 4.72/2.04 % (616425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616425)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616425)Termination reason: Instruction limit
% 4.72/2.04 % (616425)Termination phase: Saturation
% 4.72/2.04 % (616425)Time elapsed: 0.077 s
% 4.72/2.04 % (616425)Peak memory usage: 92 MB
% 4.72/2.04 % (616425)Instructions burned: 251 (million)
% 4.72/2.04 % (616429)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=29957508:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.72/2.04 % (616423)Instruction limit reached!
% 4.72/2.04 % (616423)------------------------------
% 4.72/2.04 % (616423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616423)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616423)Termination reason: Instruction limit
% 4.72/2.04 % (616423)Termination phase: Saturation
% 4.72/2.04 % (616423)Time elapsed: 0.222 s
% 4.72/2.04 % (616423)Peak memory usage: 93 MB
% 4.72/2.04 % (616423)Instructions burned: 326 (million)
% 4.72/2.04 % (616432)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=636354814:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.72/2.04 % (616432)Instruction limit reached!
% 4.72/2.04 % (616432)------------------------------
% 4.72/2.04 % (616432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616432)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616432)Termination reason: Instruction limit
% 4.72/2.04 % (616432)Termination phase: Saturation
% 4.72/2.04 % (616432)Time elapsed: 0.045 s
% 4.72/2.04 % (616432)Peak memory usage: 90 MB
% 4.72/2.04 % (616432)Instructions burned: 114 (million)
% 4.72/2.04 % (616428)Instruction limit reached!
% 4.72/2.04 % (616428)------------------------------
% 4.72/2.04 % (616428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616428)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616428)Termination reason: Instruction limit
% 4.72/2.04 % (616428)Termination phase: Saturation
% 4.72/2.04 % (616428)Time elapsed: 0.168 s
% 4.72/2.04 % (616428)Peak memory usage: 89 MB
% 4.72/2.04 % (616428)Instructions burned: 295 (million)
% 4.72/2.04 % (616434)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1016388116:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.72/2.04 % (616436)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3648421673:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 4.72/2.04 % (616434)Instruction limit reached!
% 4.72/2.04 % (616434)------------------------------
% 4.72/2.04 % (616434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616434)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616434)Termination reason: Instruction limit
% 4.72/2.04 % (616434)Termination phase: Saturation
% 4.72/2.04 % (616434)Time elapsed: 0.067 s
% 4.72/2.04 % (616434)Peak memory usage: 89 MB
% 4.72/2.04 % (616434)Instructions burned: 128 (million)
% 4.72/2.04 % (616436)Instruction limit reached!
% 4.72/2.04 % (616436)------------------------------
% 4.72/2.04 % (616436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.04 % (616436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.04 % (616436)CaDiCaL version: 2.1.3
% 4.72/2.04 % (616436)Termination reason: Instruction limit
% 4.72/2.04 % (616436)Termination phase: Saturation
% 4.72/2.04 % (616436)Time elapsed: 0.034 s
% 4.72/2.04 % (616436)Peak memory usage: 89 MB
% 4.72/2.04 % (616436)Instructions burned: 115 (million)
% 4.72/2.04 % (616437)lrs+10_1_sil=8000:sp=occurrence:random_seed=3203527051:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.72/2.04 % (616407)First to succeed.
% 4.72/2.04 % (616407)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-616402"
% 4.72/2.04 % (616441)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1758320416:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 4.72/2.04 % (616440)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2805650865:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 4.72/2.04 % (616407)Refutation found. Thanks to Tanya!
% 4.72/2.04 % SZS status Theorem for theBenchmark
% 4.72/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 8.92/2.24 % (616407)------------------------------
% 8.92/2.24 % (616407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.24 % (616407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.24 % (616407)CaDiCaL version: 2.1.3
% 8.92/2.24 % (616407)Termination reason: Refutation
% 8.92/2.24 % (616407)Time elapsed: 0.741 s
% 8.92/2.24 % (616407)Peak memory usage: 130 MB
% 8.92/2.24 % (616407)Instructions burned: 1093 (million)
% 8.92/2.24 % (616407)------------------------------
% 8.92/2.24 % (616407)------------------------------
% 8.92/2.24 % (616402)Success in time 1.176 s
% 8.92/2.24 % Vampire exiting
%------------------------------------------------------------------------------