%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW382+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:30:14 PM UTC 2026
% Result : ContradictoryAxioms 20.02s 3.98s
% Output : Refutation 20.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f786,axiom,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).
fof(f2051,axiom,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f5225,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f5227,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f7291,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5225]) ).
fof(f7485,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f5227]) ).
fof(f7911,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f2051]) ).
fof(f8472,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f786]) ).
fof(f10948,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X0)),X2),X1),
inference(superposition,[],[f7485,f7291]) ).
fof(f10989,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7),
inference(superposition,[],[f8472,f10948]) ).
fof(f10995,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),c_Set_OCollect(X1)),X0),
inference(superposition,[],[f10989,f7911]) ).
fof(f11015,plain,
$false,
inference(equality_resolution,[],[f10995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW382+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:45:17 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 11.76/2.72 % (788839)Detected formulas, will run a generic FOF schedule.
% 11.76/2.72 % (788848)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3686618675:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.76/2.72 % (788847)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=355622417:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.76/2.72 % (788844)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=3510583127:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.76/2.72 % (788850)dis-21_1_sil=8000:lcm=predicate:random_seed=652520828:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.76/2.72 % (788845)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=1929946254:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.76/2.72 % (788846)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=2139175657:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.76/2.72 % (788848)Instruction limit reached!
% 11.76/2.72 % (788848)------------------------------
% 11.76/2.72 % (788848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.72 % (788848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.72 % (788848)CaDiCaL version: 2.1.3
% 11.76/2.72 % (788848)Termination reason: Instruction limit
% 11.76/2.72 % (788848)Termination phase: Property scanning
% 11.76/2.72 % (788848)Time elapsed: 0.044 s
% 11.76/2.72 % (788848)Peak memory usage: 92 MB
% 11.76/2.72 % (788848)Instructions burned: 120 (million)
% 11.76/2.72 % (788849)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3396223870:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.76/2.72 % (788847)Instruction limit reached!
% 11.76/2.72 % (788847)------------------------------
% 11.76/2.72 % (788847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.72 % (788847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.72 % (788847)CaDiCaL version: 2.1.3
% 11.76/2.72 % (788847)Termination reason: Instruction limit
% 11.76/2.72 % (788847)Termination phase: Saturation
% 11.76/2.72 % (788847)Time elapsed: 0.067 s
% 11.76/2.72 % (788847)Peak memory usage: 95 MB
% 11.76/2.72 % (788847)Instructions burned: 109 (million)
% 11.76/2.72 % (788849)Instruction limit reached!
% 11.76/2.72 % (788849)------------------------------
% 11.76/2.72 % (788849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.72 % (788849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.72 % (788849)CaDiCaL version: 2.1.3
% 11.76/2.72 % (788849)Termination reason: Instruction limit
% 11.76/2.72 % (788849)Termination phase: SInE selection
% 11.76/2.72 % (788849)Time elapsed: 0.058 s
% 11.76/2.72 % (788849)Peak memory usage: 90 MB
% 11.76/2.72 % (788849)Instructions burned: 140 (million)
% 11.76/2.72 % (788850)Instruction limit reached!
% 11.76/2.72 % (788850)------------------------------
% 11.76/2.72 % (788850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.72 % (788850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.72 % (788850)CaDiCaL version: 2.1.3
% 11.76/2.72 % (788850)Termination reason: Instruction limit
% 11.76/2.72 % (788850)Termination phase: Preprocessing 3
% 11.76/2.72 % (788850)Time elapsed: 0.082 s
% 11.76/2.72 % (788850)Peak memory usage: 93 MB
% 11.76/2.72 % (788850)Instructions burned: 129 (million)
% 11.76/2.72 % (788857)lrs+10_1_sil=8000:sp=occurrence:random_seed=3916117795:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.76/2.72 % (788857)Instruction limit reached!
% 11.76/2.72 % (788857)------------------------------
% 11.76/2.72 % (788857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.72 % (788857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.72 % (788857)CaDiCaL version: 2.1.3
% 11.76/2.72 % (788857)Termination reason: Instruction limit
% 11.76/2.72 % (788857)Termination phase: Saturation
% 11.76/2.72 % (788857)Time elapsed: 0.091 s
% 11.76/2.72 % (788857)Peak memory usage: 96 MB
% 11.76/2.72 % (788857)Instructions burned: 286 (million)
% 11.76/2.72 % (788859)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1462849734:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 18.83/3.76 % (788860)lrs+1011_1_sil=32000:sp=occurrence:random_seed=442374058:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 18.83/3.76 % (788861)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=1711497450:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 18.83/3.76 % (788859)Instruction limit reached!
% 18.83/3.76 % (788859)------------------------------
% 18.83/3.76 % (788859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788859)CaDiCaL version: 2.1.3
% 18.83/3.76 % (788859)Termination reason: Instruction limit
% 18.83/3.76 % (788859)Termination phase: Preprocessing 3
% 18.83/3.76 % (788859)Time elapsed: 0.072 s
% 18.83/3.76 % (788859)Peak memory usage: 91 MB
% 18.83/3.76 % (788859)Instructions burned: 157 (million)
% 18.83/3.76 % (788863)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1472720801:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 18.83/3.76 % (788861)Instruction limit reached!
% 18.83/3.76 % (788861)------------------------------
% 18.83/3.76 % (788861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788861)CaDiCaL version: 2.1.3
% 18.83/3.76 % (788861)Termination reason: Instruction limit
% 18.83/3.76 % (788861)Termination phase: Preprocessing 3
% 18.83/3.76 % (788861)Time elapsed: 0.126 s
% 18.83/3.76 % (788861)Peak memory usage: 93 MB
% 18.83/3.76 % (788861)Instructions burned: 248 (million)
% 18.83/3.76 % (788863)Instruction limit reached!
% 18.83/3.76 % (788863)------------------------------
% 18.83/3.76 % (788863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788863)CaDiCaL version: 2.1.3
% 18.83/3.76 % (788863)Termination reason: Instruction limit
% 18.83/3.76 % (788863)Termination phase: Saturation
% 18.83/3.76 % (788863)Time elapsed: 0.080 s
% 18.83/3.76 % (788863)Peak memory usage: 95 MB
% 18.83/3.76 % (788863)Instructions burned: 294 (million)
% 18.83/3.76 % (788860)Instruction limit reached!
% 18.83/3.76 % (788860)------------------------------
% 18.83/3.76 % (788860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788860)CaDiCaL version: 2.1.3
% 18.83/3.76 % (788860)Termination reason: Instruction limit
% 18.83/3.76 % (788860)Termination phase: Saturation
% 18.83/3.76 % (788860)Time elapsed: 0.188 s
% 18.83/3.76 % (788860)Peak memory usage: 96 MB
% 18.83/3.76 % (788860)Instructions burned: 326 (million)
% 18.83/3.76 % (788867)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2469617266:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 18.83/3.76 % (788870)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4087958231:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.83/3.76 % (788869)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3741288868:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 18.83/3.76 % (788870)Instruction limit reached!
% 18.83/3.76 % (788870)------------------------------
% 18.83/3.76 % (788870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788870)CaDiCaL version: 2.1.3
% 18.83/3.76 % (788870)Termination reason: Instruction limit
% 18.83/3.76 % (788870)Termination phase: Preprocessing 3
% 18.83/3.76 % (788870)Time elapsed: 0.045 s
% 18.83/3.76 % (788870)Peak memory usage: 94 MB
% 18.83/3.76 % (788870)Instructions burned: 128 (million)
% 18.83/3.76 % (788871)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2432345220:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 18.83/3.76 % (788869)Instruction limit reached!
% 18.83/3.76 % (788869)------------------------------
% 18.83/3.76 % (788869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/3.76 % (788869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/3.76 % (788869)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788869)Termination reason: Instruction limit
% 20.02/3.98 % (788869)Termination phase: Preprocessing 3
% 20.02/3.98 % (788869)Time elapsed: 0.077 s
% 20.02/3.98 % (788869)Peak memory usage: 93 MB
% 20.02/3.98 % (788869)Instructions burned: 113 (million)
% 20.02/3.98 % (788871)Instruction limit reached!
% 20.02/3.98 % (788871)------------------------------
% 20.02/3.98 % (788871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788871)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788871)Termination reason: Instruction limit
% 20.02/3.98 % (788871)Termination phase: Property scanning
% 20.02/3.98 % (788871)Time elapsed: 0.044 s
% 20.02/3.98 % (788871)Peak memory usage: 90 MB
% 20.02/3.98 % (788871)Instructions burned: 116 (million)
% 20.02/3.98 % (788875)lrs+10_1_sil=8000:sp=occurrence:random_seed=1467535867:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 20.02/3.98 % (788877)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1491843227:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 20.02/3.98 % (788878)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=99524611:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 20.02/3.98 % (788875)Instruction limit reached!
% 20.02/3.98 % (788875)------------------------------
% 20.02/3.98 % (788875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788875)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788875)Termination reason: Instruction limit
% 20.02/3.98 % (788875)Termination phase: Saturation
% 20.02/3.98 % (788875)Time elapsed: 0.289 s
% 20.02/3.98 % (788875)Peak memory usage: 104 MB
% 20.02/3.98 % (788875)Instructions burned: 908 (million)
% 20.02/3.98 % (788877)Instruction limit reached!
% 20.02/3.98 % (788877)------------------------------
% 20.02/3.98 % (788877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788877)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788877)Termination reason: Instruction limit
% 20.02/3.98 % (788877)Termination phase: Property scanning
% 20.02/3.98 % (788877)Time elapsed: 0.214 s
% 20.02/3.98 % (788877)Peak memory usage: 96 MB
% 20.02/3.98 % (788877)Instructions burned: 439 (million)
% 20.02/3.98 % (788882)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2607999831:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 20.02/3.98 % (788882)Instruction limit reached!
% 20.02/3.98 % (788882)------------------------------
% 20.02/3.98 % (788882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788882)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788882)Termination reason: Instruction limit
% 20.02/3.98 % (788882)Termination phase: NewCNF
% 20.02/3.98 % (788882)Time elapsed: 0.056 s
% 20.02/3.98 % (788882)Peak memory usage: 95 MB
% 20.02/3.98 % (788882)Instructions burned: 136 (million)
% 20.02/3.98 % (788883)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3594954916:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 20.02/3.98 % (788885)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1780794522:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 20.02/3.98 % (788883)Instruction limit reached!
% 20.02/3.98 % (788883)------------------------------
% 20.02/3.98 % (788883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788883)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788883)Termination reason: Instruction limit
% 20.02/3.98 % (788883)Termination phase: Property scanning
% 20.02/3.98 % (788883)Time elapsed: 0.294 s
% 20.02/3.98 % (788883)Peak memory usage: 97 MB
% 20.02/3.98 % (788883)Instructions burned: 594 (million)
% 20.02/3.98 % (788888)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=1207765182:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 20.02/3.98 % (788888)Instruction limit reached!
% 20.02/3.98 % (788888)------------------------------
% 20.02/3.98 % (788888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788888)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788888)Termination reason: Instruction limit
% 20.02/3.98 % (788888)Termination phase: SInE selection
% 20.02/3.98 % (788888)Time elapsed: 0.050 s
% 20.02/3.98 % (788888)Peak memory usage: 90 MB
% 20.02/3.98 % (788888)Instructions burned: 125 (million)
% 20.02/3.98 % (788890)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=251090075:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 20.02/3.98 % (788890)Instruction limit reached!
% 20.02/3.98 % (788890)------------------------------
% 20.02/3.98 % (788890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788890)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788890)Termination reason: Instruction limit
% 20.02/3.98 % (788890)Termination phase: Initialization
% 20.02/3.98 % (788890)Time elapsed: 0.052 s
% 20.02/3.98 % (788890)Peak memory usage: 90 MB
% 20.02/3.98 % (788890)Instructions burned: 134 (million)
% 20.02/3.98 % (788892)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3621809403:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 20.02/3.98 % (788892)Instruction limit reached!
% 20.02/3.98 % (788892)------------------------------
% 20.02/3.98 % (788892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788892)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788892)Termination reason: Instruction limit
% 20.02/3.98 % (788892)Termination phase: Saturation
% 20.02/3.98 % (788892)Time elapsed: 0.088 s
% 20.02/3.98 % (788892)Peak memory usage: 95 MB
% 20.02/3.98 % (788892)Instructions burned: 142 (million)
% 20.02/3.98 % (788867)Instruction limit reached!
% 20.02/3.98 % (788867)------------------------------
% 20.02/3.98 % (788867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788867)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788867)Termination reason: Instruction limit
% 20.02/3.98 % (788867)Termination phase: Saturation
% 20.02/3.98 % (788867)Time elapsed: 1.587 s
% 20.02/3.98 % (788867)Peak memory usage: 229 MB
% 20.02/3.98 % (788867)Instructions burned: 2350 (million)
% 20.02/3.98 % (788894)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=791939155:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 20.02/3.98 % (788895)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=4227133712:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 20.02/3.98 % (788878)First to succeed.
% 20.02/3.98 % (788878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-788839"
% 20.02/3.98 % (788894)Instruction limit reached!
% 20.02/3.98 % (788894)------------------------------
% 20.02/3.98 % (788894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788894)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788894)Termination reason: Instruction limit
% 20.02/3.98 % (788894)Termination phase: Saturation
% 20.02/3.98 % (788894)Time elapsed: 0.235 s
% 20.02/3.98 % (788894)Peak memory usage: 96 MB
% 20.02/3.98 % (788894)Instructions burned: 431 (million)
% 20.02/3.98 % (788898)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=2066938960:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 20.02/3.98 % (788878)Refutation found. Thanks to Tanya!
% 20.02/3.98 % SZS status ContradictoryAxioms for theBenchmark
% 20.02/3.98 % SZS output start Proof for theBenchmark
% See solution above
% 20.02/3.98 % (788878)------------------------------
% 20.02/3.98 % (788878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.98 % (788878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.98 % (788878)CaDiCaL version: 2.1.3
% 20.02/3.98 % (788878)Termination reason: Refutation
% 20.02/3.98 % (788878)Time elapsed: 1.559 s
% 20.02/3.98 % (788878)Peak memory usage: 176 MB
% 20.02/3.98 % (788878)Instructions burned: 2595 (million)
% 20.02/3.98 % (788878)------------------------------
% 20.02/3.98 % (788878)------------------------------
% 20.02/3.98 % (788839)Success in time 3.097 s
% 20.02/3.98 % Vampire exiting
%------------------------------------------------------------------------------