%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO523+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:52:51 AM UTC 2026
% Result : Theorem 24.92s 4.66s
% Output : Refutation 24.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 21 unt; 4 def)
% Number of atoms : 119 ( 50 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 103 ( 44 ~; 53 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,axiom,
! [X0,X1,X2] :
( ~ s_m(X0,X1,X2)
| s_m(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_2) ).
fof(f109,axiom,
! [X0,X1,X2,X3] :
( ~ s_m(X0,X1,X2)
| ~ s_m(X0,X3,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_17) ).
fof(f128,axiom,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_12b) ).
fof(f141,axiom,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aperp1) ).
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f184,axiom,
! [X0,X1,X2] :
( ( X0 = X1
| s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2))) )
& ( X0 = X1
| X2 = reflect(X0,X1,X2)
| perp(X0,X1,X2,reflect(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2a) ).
fof(f185,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X1
| ~ s_col(X0,X1,midpoint(X2,X3))
| ~ perp(X0,X1,X2,X3)
| X3 = reflect(X0,X1,X2) )
& ( X0 = X1
| ~ s_col(X0,X1,midpoint(X2,X3))
| X2 != X3
| X3 = reflect(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2b) ).
fof(f186,conjecture,
! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| reflect(X0,X1,X3) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_4) ).
fof(f187,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| reflect(X0,X1,X3) = X2 ),
inference(negated_conjecture,[status(cth)],[f186]) ).
fof(f203,plain,
? [X0,X1,X2,X3] :
( X0 != X1
& reflect(X0,X1,X2) = X3
& reflect(X0,X1,X3) != X2 ),
inference(ennf_transformation,[],[f187]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_m(X2,X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ s_m(X0,X3,X2)
| X1 = X3
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f345,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f377,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f416,plain,
! [X2,X0,X1] :
( s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))
| X0 = X1 ),
inference(cnf_transformation,[],[f184]) ).
fof(f417,plain,
! [X2,X0,X1] :
( perp(X0,X1,X2,reflect(X0,X1,X2))
| reflect(X0,X1,X2) = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f184]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,midpoint(X2,X3))
| ~ perp(X0,X1,X2,X3)
| reflect(X0,X1,X2) = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f420,plain,
sK2 != reflect(sK0,sK1,sK3),
inference(cnf_transformation,[],[f203]) ).
fof(f421,plain,
sK3 = reflect(sK0,sK1,sK2),
inference(cnf_transformation,[],[f203]) ).
fof(f422,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f203]) ).
fof(f523,definition,
sF4 = reflect(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f524,plain,
reflect(sK0,sK1,sK2) = sF4,
inference(reorient_equations,[],[f523]) ).
fof(f525,plain,
sK3 = sF4,
inference(definition_folding,[],[f421,f524]) ).
fof(f526,definition,
sF5 = reflect(sK0,sK1,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f527,plain,
reflect(sK0,sK1,sK3) = sF5,
inference(reorient_equations,[],[f526]) ).
fof(f528,plain,
sK2 != sF5,
inference(definition_folding,[],[f420,f527]) ).
fof(f533,plain,
sK3 = reflect(sK0,sK1,sK2),
inference(forward_demodulation,[],[f524,f525]) ).
fof(f540,plain,
( s_col(sK0,sK1,midpoint(sK2,sK3))
| sK0 = sK1 ),
inference(superposition,[],[f416,f533]) ).
fof(f542,plain,
s_col(sK0,sK1,midpoint(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f540,f422]) ).
fof(f546,plain,
! [X0,X1] : s_m(X0,midpoint(X1,X0),X1),
inference(resolution,[],[f310,f377]) ).
fof(f615,plain,
! [X2,X0,X1] :
( midpoint(X1,X2) = X0
| ~ s_m(X1,X0,X2) ),
inference(resolution,[],[f326,f377]) ).
fof(f662,plain,
! [X0] :
( ~ s_m(sK2,X0,sK3)
| s_col(sK0,sK1,X0) ),
inference(superposition,[],[f542,f615]) ).
fof(f713,plain,
( perp(sK0,sK1,sK2,sK3)
| sK2 = sK3
| sK0 = sK1 ),
inference(superposition,[],[f417,f533]) ).
fof(f714,plain,
( perp(sK0,sK1,sK2,sK3)
| sK2 = sK3 ),
inference(forward_subsumption_resolution,[],[f713,f422]) ).
fof(f717,definition,
( spl6_1
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f718,plain,
( sK2 = sK3
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f720,definition,
( spl6_2
<=> perp(sK0,sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f721,plain,
( perp(sK0,sK1,sK2,sK3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f714,f720,f717]) ).
fof(f850,plain,
( perp(sK2,sK3,sK0,sK1)
| ~ spl6_2 ),
inference(resolution,[],[f345,f721]) ).
fof(f858,plain,
( perp(sK3,sK2,sK0,sK1)
| ~ spl6_2 ),
inference(resolution,[],[f368,f850]) ).
fof(f863,plain,
( perp(sK0,sK1,sK3,sK2)
| ~ spl6_2 ),
inference(resolution,[],[f858,f345]) ).
fof(f1087,plain,
s_col(sK0,sK1,midpoint(sK3,sK2)),
inference(resolution,[],[f662,f546]) ).
fof(f1088,plain,
( ~ perp(sK0,sK1,sK3,sK2)
| sK2 = reflect(sK0,sK1,sK3)
| sK0 = sK1 ),
inference(resolution,[],[f1087,f418]) ).
fof(f1101,plain,
( sK2 = reflect(sK0,sK1,sK3)
| sK0 = sK1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f1088,f863]) ).
fof(f1102,plain,
( sK2 = reflect(sK0,sK1,sK3)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f1101,f422]) ).
fof(f1103,plain,
( sK2 = sF5
| ~ spl6_2 ),
inference(superposition,[],[f1102,f527]) ).
fof(f1107,plain,
( $false
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f1103,f528]) ).
fof(f1108,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1114,plain,
( reflect(sK0,sK1,sK2) = sF5
| ~ spl6_1 ),
inference(superposition,[],[f527,f718]) ).
fof(f1134,plain,
( sK3 = sF5
| ~ spl6_1 ),
inference(forward_demodulation,[],[f1114,f533]) ).
fof(f1135,plain,
( sK2 = sF5
| ~ spl6_1 ),
inference(forward_demodulation,[],[f1134,f718]) ).
fof(f1136,plain,
( $false
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f1135,f528]) ).
fof(f1137,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f1136]) ).
cnf(s343,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f722]) ).
cnf(s490,plain,
~ spl6_2,
inference(sat_conversion,[],[f1108]) ).
cnf(s522,plain,
~ spl6_1,
inference(sat_conversion,[],[f1137]) ).
cnf(s523,plain,
$false,
inference(rat,[],[s343,s490,s522]) ).
fof(f1138,plain,
$false,
inference(avatar_sat_refutation,[],[s523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO523+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.62 % Computer : n010.cluster.edu
% 0.13/0.62 % Model : x86_64 x86_64
% 0.13/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.62 % Memory : 8046.5625MB
% 0.13/0.62 % OS : Linux 6.8.0-71-generic
% 0.13/0.62 % CPULimit : 300
% 0.13/0.62 % WCLimit : 300
% 0.13/0.62 % DateTime : Sun Sep 27 08:26:07 UTC 2026
% 0.13/0.63 % CPUTime :
% 0.13/0.63 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.66 Running first-order theorem proving
% 0.16/0.66 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
% 11.67/2.90 % (637309)Detected formulas, will run a generic FOF schedule.
% 11.67/2.90 % (637317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4129263255:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.67/2.90 % (637317)Refutation not found, incomplete strategy
% 11.67/2.90 % (637317)------------------------------
% 11.67/2.90 % (637317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/2.90 % (637317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.90 % (637317)CaDiCaL version: 2.1.3
% 11.67/2.90 % (637317)Termination reason: Refutation not found, incomplete strategy
% 11.67/2.90 % (637317)Time elapsed: 0.001 s
% 11.67/2.90 % (637317)Peak memory usage: 88 MB
% 11.67/2.90 % (637317)Instructions burned: 1 (million)
% 11.67/2.90 % (637320)dis-21_1_sil=8000:lcm=predicate:random_seed=368493455: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)
% 11.67/2.90 % (637319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155687996:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.67/2.90 % (637318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3132755580:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.67/2.90 % (637316)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=146214595:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.67/2.90 % (637314)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=3321653089:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.67/2.90 % (637315)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=2067773198:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.67/2.90 % (637318)Instruction limit reached!
% 11.67/2.90 % (637318)------------------------------
% 11.67/2.90 % (637318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/2.90 % (637318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.90 % (637318)CaDiCaL version: 2.1.3
% 11.67/2.90 % (637318)Termination reason: Instruction limit
% 11.67/2.90 % (637318)Termination phase: Saturation
% 11.67/2.90 % (637318)Time elapsed: 0.066 s
% 11.67/2.90 % (637318)Peak memory usage: 88 MB
% 11.67/2.90 % (637318)Instructions burned: 120 (million)
% 11.67/2.90 % (637320)Instruction limit reached!
% 11.67/2.90 % (637320)------------------------------
% 11.67/2.90 % (637320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/2.90 % (637320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.90 % (637320)CaDiCaL version: 2.1.3
% 11.67/2.90 % (637320)Termination reason: Instruction limit
% 11.67/2.90 % (637320)Termination phase: Saturation
% 11.67/2.90 % (637320)Time elapsed: 0.073 s
% 11.67/2.90 % (637320)Peak memory usage: 89 MB
% 11.67/2.90 % (637320)Instructions burned: 130 (million)
% 11.67/2.90 % (637319)Instruction limit reached!
% 11.67/2.90 % (637319)------------------------------
% 11.67/2.90 % (637319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.67/2.90 % (637319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.90 % (637319)CaDiCaL version: 2.1.3
% 11.67/2.90 % (637319)Termination reason: Instruction limit
% 11.67/2.90 % (637319)Termination phase: Saturation
% 11.67/2.90 % (637319)Time elapsed: 0.089 s
% 11.67/2.90 % (637319)Peak memory usage: 90 MB
% 11.67/2.90 % (637319)Instructions burned: 140 (million)
% 11.67/2.90 % (637317)------------------------------
% 11.67/2.90 % (637317)------------------------------
% 11.67/2.90 % (637328)lrs+10_1_sil=8000:sp=occurrence:random_seed=3292651319:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.67/2.90 % (637331)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=204185872:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.67/2.90 % (637329)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1456496793:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.67/2.90 % (637330)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1637151778:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.67/2.90 % (637330)Refutation not found, incomplete strategy
% 19.02/3.85 % (637330)------------------------------
% 19.02/3.85 % (637330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637330)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637330)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.85 % (637330)Time elapsed: 0.002 s
% 19.02/3.85 % (637330)Peak memory usage: 89 MB
% 19.02/3.85 % (637330)Instructions burned: 1 (million)
% 19.02/3.85 % (637329)Refutation not found, incomplete strategy
% 19.02/3.85 % (637329)------------------------------
% 19.02/3.85 % (637329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637329)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637329)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.85 % (637329)Time elapsed: 0.003 s
% 19.02/3.85 % (637329)Peak memory usage: 89 MB
% 19.02/3.85 % (637329)Instructions burned: 4 (million)
% 19.02/3.85 % (637331)Instruction limit reached!
% 19.02/3.85 % (637331)------------------------------
% 19.02/3.85 % (637331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637331)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637331)Termination reason: Instruction limit
% 19.02/3.85 % (637331)Termination phase: Saturation
% 19.02/3.85 % (637331)Time elapsed: 0.066 s
% 19.02/3.85 % (637331)Peak memory usage: 89 MB
% 19.02/3.85 % (637331)Instructions burned: 252 (million)
% 19.02/3.85 % (637336)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2271457532:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.02/3.85 % (637336)Refutation not found, incomplete strategy
% 19.02/3.85 % (637336)------------------------------
% 19.02/3.85 % (637336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637336)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637336)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.85 % (637336)Time elapsed: 0.002 s
% 19.02/3.85 % (637336)Peak memory usage: 88 MB
% 19.02/3.85 % (637336)Instructions burned: 7 (million)
% 19.02/3.85 % (637328)Instruction limit reached!
% 19.02/3.85 % (637328)------------------------------
% 19.02/3.85 % (637328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637328)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637328)Termination reason: Instruction limit
% 19.02/3.85 % (637328)Termination phase: Saturation
% 19.02/3.85 % (637328)Time elapsed: 0.181 s
% 19.02/3.85 % (637328)Peak memory usage: 91 MB
% 19.02/3.85 % (637328)Instructions burned: 286 (million)
% 19.02/3.85 % (637330)------------------------------
% 19.02/3.85 % (637330)------------------------------
% 19.02/3.85 % (637329)------------------------------
% 19.02/3.85 % (637329)------------------------------
% 19.02/3.85 % (637338)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2570195269:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.02/3.85 % (637336)------------------------------
% 19.02/3.85 % (637336)------------------------------
% 19.02/3.85 % (637340)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3612165779:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.02/3.85 % (637339)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=83311269:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.02/3.85 % (637342)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1939540208:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 19.02/3.85 % (637340)Refutation not found, incomplete strategy
% 19.02/3.85 % (637340)------------------------------
% 19.02/3.85 % (637340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.02/3.85 % (637340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.85 % (637340)CaDiCaL version: 2.1.3
% 19.02/3.85 % (637340)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.85 % (637340)Time elapsed: 0.010 s
% 19.02/3.85 % (637340)Peak memory usage: 88 MB
% 19.02/3.85 % (637340)Instructions burned: 19 (million)
% 19.02/3.85 % (637342)Instruction limit reached!
% 24.17/4.57 % (637342)------------------------------
% 24.17/4.57 % (637342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637342)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637342)Termination reason: Instruction limit
% 24.17/4.57 % (637342)Termination phase: Saturation
% 24.17/4.57 % (637342)Time elapsed: 0.030 s
% 24.17/4.57 % (637342)Peak memory usage: 89 MB
% 24.17/4.57 % (637342)Instructions burned: 117 (million)
% 24.17/4.57 % (637339)Instruction limit reached!
% 24.17/4.57 % (637339)------------------------------
% 24.17/4.57 % (637339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637339)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637339)Termination reason: Instruction limit
% 24.17/4.57 % (637339)Termination phase: Saturation
% 24.17/4.57 % (637339)Time elapsed: 0.064 s
% 24.17/4.57 % (637339)Peak memory usage: 90 MB
% 24.17/4.57 % (637339)Instructions burned: 113 (million)
% 24.17/4.57 % (637346)lrs+10_1_sil=8000:sp=occurrence:random_seed=787720073:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 24.17/4.57 % (637347)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2728942858:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 24.17/4.57 % (637340)------------------------------
% 24.17/4.57 % (637340)------------------------------
% 24.17/4.57 % (637350)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2387223260:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 24.17/4.57 % (637346)Instruction limit reached!
% 24.17/4.57 % (637346)------------------------------
% 24.17/4.57 % (637346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637346)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637346)Termination reason: Instruction limit
% 24.17/4.57 % (637346)Termination phase: Saturation
% 24.17/4.57 % (637346)Time elapsed: 0.288 s
% 24.17/4.57 % (637346)Peak memory usage: 93 MB
% 24.17/4.57 % (637346)Instructions burned: 908 (million)
% 24.17/4.57 % (637347)Instruction limit reached!
% 24.17/4.57 % (637347)------------------------------
% 24.17/4.57 % (637347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637347)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637347)Termination reason: Instruction limit
% 24.17/4.57 % (637347)Termination phase: Saturation
% 24.17/4.57 % (637347)Time elapsed: 0.249 s
% 24.17/4.57 % (637347)Peak memory usage: 91 MB
% 24.17/4.57 % (637347)Instructions burned: 437 (million)
% 24.17/4.57 % (637352)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2972164346:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 24.17/4.57 % (637352)Instruction limit reached!
% 24.17/4.57 % (637352)------------------------------
% 24.17/4.57 % (637352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637352)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637352)Termination reason: Instruction limit
% 24.17/4.57 % (637352)Termination phase: Saturation
% 24.17/4.57 % (637352)Time elapsed: 0.041 s
% 24.17/4.57 % (637352)Peak memory usage: 90 MB
% 24.17/4.57 % (637352)Instructions burned: 136 (million)
% 24.17/4.57 % (637353)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3316190248:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 24.17/4.57 % (637355)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=808698830:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 24.17/4.57 % (637353)Instruction limit reached!
% 24.17/4.57 % (637353)------------------------------
% 24.17/4.57 % (637353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637353)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637353)Termination reason: Instruction limit
% 24.17/4.57 % (637353)Termination phase: Saturation
% 24.17/4.57 % (637353)Time elapsed: 0.346 s
% 24.17/4.57 % (637353)Peak memory usage: 93 MB
% 24.17/4.57 % (637353)Instructions burned: 593 (million)
% 24.17/4.57 % (637358)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=634596095:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 24.17/4.57 % (637358)Instruction limit reached!
% 24.17/4.57 % (637358)------------------------------
% 24.17/4.57 % (637358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637358)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637358)Termination reason: Instruction limit
% 24.17/4.57 % (637358)Termination phase: Saturation
% 24.17/4.57 % (637358)Time elapsed: 0.069 s
% 24.17/4.57 % (637358)Peak memory usage: 89 MB
% 24.17/4.57 % (637358)Instructions burned: 125 (million)
% 24.17/4.57 % (637360)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3512172676:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 24.17/4.57 % (637360)Instruction limit reached!
% 24.17/4.57 % (637360)------------------------------
% 24.17/4.57 % (637360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637360)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637360)Termination reason: Instruction limit
% 24.17/4.57 % (637360)Termination phase: Saturation
% 24.17/4.57 % (637360)Time elapsed: 0.085 s
% 24.17/4.57 % (637360)Peak memory usage: 90 MB
% 24.17/4.57 % (637360)Instructions burned: 134 (million)
% 24.17/4.57 % (637338)Instruction limit reached!
% 24.17/4.57 % (637338)------------------------------
% 24.17/4.57 % (637338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637338)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637338)Termination reason: Instruction limit
% 24.17/4.57 % (637338)Termination phase: Saturation
% 24.17/4.57 % (637338)Time elapsed: 1.493 s
% 24.17/4.57 % (637338)Peak memory usage: 140 MB
% 24.17/4.57 % (637338)Instructions burned: 2351 (million)
% 24.17/4.57 % (637362)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=484409581:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 24.17/4.57 % (637362)Refutation not found, incomplete strategy
% 24.17/4.57 % (637362)------------------------------
% 24.17/4.57 % (637362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637362)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637362)Termination reason: Refutation not found, incomplete strategy
% 24.17/4.57 % (637362)Time elapsed: 0.002 s
% 24.17/4.57 % (637362)Peak memory usage: 88 MB
% 24.17/4.57 % (637362)Instructions burned: 1 (million)
% 24.17/4.57 % (637363)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1740122197:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 24.17/4.57 % (637363)Refutation not found, incomplete strategy
% 24.17/4.57 % (637363)------------------------------
% 24.17/4.57 % (637363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.17/4.57 % (637363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/4.57 % (637363)CaDiCaL version: 2.1.3
% 24.17/4.57 % (637363)Termination reason: Refutation not found, incomplete strategy
% 24.17/4.57 % (637363)Time elapsed: 0.002 s
% 24.17/4.57 % (637363)Peak memory usage: 88 MB
% 24.17/4.57 % (637363)Instructions burned: 1 (million)
% 24.17/4.57 % (637362)------------------------------
% 24.17/4.57 % (637362)------------------------------
% 24.17/4.57 % (637363)------------------------------
% 24.17/4.57 % (637363)------------------------------
% 24.17/4.57 % (637366)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2887565674:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 24.17/4.57 % (637367)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1351466061:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 24.17/4.57 % (637367)Instruction limit reached!
% 24.17/4.57 % (637367)------------------------------
% 24.17/4.57 % (637367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.92/4.66 % (637367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.92/4.66 % (637367)CaDiCaL version: 2.1.3
% 24.92/4.66 % (637367)Termination reason: Instruction limit
% 24.92/4.66 % (637367)Termination phase: Saturation
% 24.92/4.66 % (637367)Time elapsed: 0.087 s
% 24.92/4.66 % (637367)Peak memory usage: 91 MB
% 24.92/4.66 % (637367)Instructions burned: 152 (million)
% 24.92/4.66 % (637370)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=354417723:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 24.92/4.66 % (637350)Instruction limit reached!
% 24.92/4.66 % (637350)------------------------------
% 24.92/4.66 % (637350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.92/4.66 % (637350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.92/4.66 % (637350)CaDiCaL version: 2.1.3
% 24.92/4.66 % (637350)Termination reason: Instruction limit
% 24.92/4.66 % (637350)Termination phase: Saturation
% 24.92/4.66 % (637350)Time elapsed: 2.025 s
% 24.92/4.66 % (637350)Peak memory usage: 152 MB
% 24.92/4.66 % (637350)Instructions burned: 5204 (million)
% 24.92/4.66 % (637372)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3339165927:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 24.92/4.66 % (637366)First to succeed.
% 24.92/4.66 % (637366)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-637309"
% 24.92/4.66 % (637366)Refutation found. Thanks to Tanya!
% 24.92/4.66 % SZS status Theorem for theBenchmark
% 24.92/4.66 % SZS output start Proof for theBenchmark
% See solution above
% 24.92/4.66 % (637366)------------------------------
% 24.92/4.66 % (637366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.92/4.66 % (637366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.92/4.66 % (637366)CaDiCaL version: 2.1.3
% 24.92/4.66 % (637366)Termination reason: Refutation
% 24.92/4.66 % (637366)Time elapsed: 0.707 s
% 24.92/4.66 % (637366)Peak memory usage: 135 MB
% 24.92/4.66 % (637366)Instructions burned: 1205 (million)
% 24.92/4.66 % (637366)------------------------------
% 24.92/4.66 % (637366)------------------------------
% 24.92/4.66 % (637309)Success in time 3.462 s
% 24.92/4.66 % Vampire exiting
%------------------------------------------------------------------------------