%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW335+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:30:08 PM UTC 2026
% Result : ContradictoryAxioms 24.22s 4.13s
% Output : Refutation 24.22s
% 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(f435,axiom,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f1395,axiom,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(f5206,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/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f5208,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/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f8492,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,[],[f5206]) ).
fof(f8854,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f1395]) ).
fof(f9362,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,[],[f5208]) ).
fof(f9612,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f435]) ).
fof(f12861,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,[],[f9362,f8492]) ).
fof(f12896,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,[],[f8854,f12861]) ).
fof(f12912,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),c_Set_OCollect(X1)),X0) != hAPP(X0,X0),
inference(superposition,[],[f12896,f9612]) ).
fof(f12928,plain,
$false,
inference(equality_resolution,[],[f12912]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW335+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.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
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:37:54 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 12.07/2.30 % (3967937)Detected formulas, will run a generic FOF schedule.
% 12.07/2.30 % (3967942)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=4179457732:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.07/2.30 % (3967944)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=4212257921:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.07/2.30 % (3967945)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=835558121:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.07/2.30 % (3967946)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=128797882:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.07/2.30 % (3967948)dis-21_1_sil=8000:lcm=predicate:random_seed=4192166104:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.07/2.30 % (3967943)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=2564206015:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.07/2.30 % (3967947)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=968127897:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.07/2.30 % (3967945)Refutation not found, incomplete strategy
% 12.07/2.30 % (3967945)------------------------------
% 12.07/2.30 % (3967945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.30 % (3967945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.30 % (3967945)CaDiCaL version: 2.1.3
% 12.07/2.30 % (3967945)Termination reason: Refutation not found, incomplete strategy
% 12.07/2.30 % (3967945)Time elapsed: 0.025 s
% 12.07/2.30 % (3967945)Peak memory usage: 94 MB
% 12.07/2.30 % (3967945)Instructions burned: 33 (million)
% 12.07/2.30 % (3967947)Instruction limit reached!
% 12.07/2.30 % (3967947)------------------------------
% 12.07/2.30 % (3967947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.30 % (3967947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.30 % (3967947)CaDiCaL version: 2.1.3
% 12.07/2.30 % (3967947)Termination reason: Instruction limit
% 12.07/2.30 % (3967947)Termination phase: SInE selection
% 12.07/2.30 % (3967947)Time elapsed: 0.056 s
% 12.07/2.30 % (3967947)Peak memory usage: 90 MB
% 12.07/2.30 % (3967947)Instructions burned: 139 (million)
% 12.07/2.30 % (3967946)Instruction limit reached!
% 12.07/2.30 % (3967946)------------------------------
% 12.07/2.30 % (3967946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.30 % (3967946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.30 % (3967946)CaDiCaL version: 2.1.3
% 12.07/2.30 % (3967946)Termination reason: Instruction limit
% 12.07/2.30 % (3967946)Termination phase: Saturation
% 12.07/2.30 % (3967946)Time elapsed: 0.066 s
% 12.07/2.30 % (3967946)Peak memory usage: 94 MB
% 12.07/2.30 % (3967946)Instructions burned: 119 (million)
% 12.07/2.30 % (3967948)Instruction limit reached!
% 12.07/2.30 % (3967948)------------------------------
% 12.07/2.30 % (3967948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.30 % (3967948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.30 % (3967948)CaDiCaL version: 2.1.3
% 12.07/2.30 % (3967948)Termination reason: Instruction limit
% 12.07/2.30 % (3967948)Termination phase: Preprocessing 3
% 12.07/2.30 % (3967948)Time elapsed: 0.082 s
% 12.07/2.30 % (3967948)Peak memory usage: 93 MB
% 12.07/2.30 % (3967948)Instructions burned: 130 (million)
% 12.07/2.30 % (3967956)lrs+10_1_sil=8000:sp=occurrence:random_seed=2044921204:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.07/2.30 % (3967957)lrs+10_1_sil=32000:urr=on:br=off:random_seed=322384989:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.07/2.30 % (3967958)lrs+1011_1_sil=32000:sp=occurrence:random_seed=382252433:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.07/2.30 % (3967958)Refutation not found, incomplete strategy
% 12.07/2.30 % (3967958)------------------------------
% 12.07/2.30 % (3967958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.30 % (3967958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967958)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967958)Termination reason: Refutation not found, incomplete strategy
% 17.62/3.09 % (3967958)Time elapsed: 0.026 s
% 17.62/3.09 % (3967958)Peak memory usage: 94 MB
% 17.62/3.09 % (3967958)Instructions burned: 33 (million)
% 17.62/3.09 % (3967956)Instruction limit reached!
% 17.62/3.09 % (3967956)------------------------------
% 17.62/3.09 % (3967956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.09 % (3967956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967956)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967956)Termination reason: Instruction limit
% 17.62/3.09 % (3967956)Termination phase: Saturation
% 17.62/3.09 % (3967956)Time elapsed: 0.088 s
% 17.62/3.09 % (3967956)Peak memory usage: 95 MB
% 17.62/3.09 % (3967956)Instructions burned: 286 (million)
% 17.62/3.09 % (3967957)Refutation not found, incomplete strategy
% 17.62/3.09 % (3967957)------------------------------
% 17.62/3.09 % (3967957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.09 % (3967957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967957)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967957)Termination reason: Refutation not found, incomplete strategy
% 17.62/3.09 % (3967957)Time elapsed: 0.072 s
% 17.62/3.09 % (3967957)Peak memory usage: 94 MB
% 17.62/3.09 % (3967957)Instructions burned: 156 (million)
% 17.62/3.09 % (3967945)------------------------------
% 17.62/3.09 % (3967945)------------------------------
% 17.62/3.09 % (3967962)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=2418593579:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 17.62/3.09 % (3967962)Instruction limit reached!
% 17.62/3.09 % (3967962)------------------------------
% 17.62/3.09 % (3967962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.09 % (3967962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967962)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967962)Termination reason: Instruction limit
% 17.62/3.09 % (3967962)Termination phase: Preprocessing 3
% 17.62/3.09 % (3967962)Time elapsed: 0.071 s
% 17.62/3.09 % (3967962)Peak memory usage: 93 MB
% 17.62/3.09 % (3967962)Instructions burned: 249 (million)
% 17.62/3.09 % (3967963)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3339045334:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.62/3.09 % (3967958)------------------------------
% 17.62/3.09 % (3967958)------------------------------
% 17.62/3.09 % (3967957)------------------------------
% 17.62/3.09 % (3967957)------------------------------
% 17.62/3.09 % (3967965)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2142030036:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 17.62/3.09 % (3967963)Refutation not found, incomplete strategy
% 17.62/3.09 % (3967963)------------------------------
% 17.62/3.09 % (3967963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.09 % (3967963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967963)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967963)Termination reason: Refutation not found, incomplete strategy
% 17.62/3.09 % (3967963)Time elapsed: 0.145 s
% 17.62/3.09 % (3967963)Peak memory usage: 97 MB
% 17.62/3.09 % (3967963)Instructions burned: 259 (million)
% 17.62/3.09 % (3967967)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2797043445:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.62/3.09 % (3967969)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3994750809:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 17.62/3.09 % (3967967)Instruction limit reached!
% 17.62/3.09 % (3967967)------------------------------
% 17.62/3.09 % (3967967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.09 % (3967967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.09 % (3967967)CaDiCaL version: 2.1.3
% 17.62/3.09 % (3967967)Termination reason: Instruction limit
% 17.62/3.09 % (3967967)Termination phase: Preprocessing 3
% 17.62/3.09 % (3967967)Time elapsed: 0.078 s
% 17.62/3.09 % (3967967)Peak memory usage: 93 MB
% 17.62/3.09 % (3967967)Instructions burned: 115 (million)
% 17.62/3.09 % (3967969)Instruction limit reached!
% 17.62/3.09 % (3967969)------------------------------
% 17.62/3.09 % (3967969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967969)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967969)Termination reason: Instruction limit
% 20.70/3.94 % (3967969)Termination phase: Preprocessing 3
% 20.70/3.94 % (3967969)Time elapsed: 0.079 s
% 20.70/3.94 % (3967969)Peak memory usage: 94 MB
% 20.70/3.94 % (3967969)Instructions burned: 128 (million)
% 20.70/3.94 % (3967963)------------------------------
% 20.70/3.94 % (3967963)------------------------------
% 20.70/3.94 % (3967972)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=569211771:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 20.70/3.94 % (3967973)lrs+10_1_sil=8000:sp=occurrence:random_seed=1801136140:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 20.70/3.94 % (3967972)Instruction limit reached!
% 20.70/3.94 % (3967972)------------------------------
% 20.70/3.94 % (3967972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967972)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967972)Termination reason: Instruction limit
% 20.70/3.94 % (3967972)Termination phase: Property scanning
% 20.70/3.94 % (3967972)Time elapsed: 0.044 s
% 20.70/3.94 % (3967972)Peak memory usage: 90 MB
% 20.70/3.94 % (3967972)Instructions burned: 116 (million)
% 20.70/3.94 % (3967974)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1301474487:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 20.70/3.94 % (3967977)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1950515436:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 20.70/3.94 % (3967974)Instruction limit reached!
% 20.70/3.94 % (3967974)------------------------------
% 20.70/3.94 % (3967974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967974)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967974)Termination reason: Instruction limit
% 20.70/3.94 % (3967974)Termination phase: Property scanning
% 20.70/3.94 % (3967974)Time elapsed: 0.222 s
% 20.70/3.94 % (3967974)Peak memory usage: 96 MB
% 20.70/3.94 % (3967974)Instructions burned: 439 (million)
% 20.70/3.94 % (3967980)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2824565941:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 20.70/3.94 % (3967973)Instruction limit reached!
% 20.70/3.94 % (3967973)------------------------------
% 20.70/3.94 % (3967973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967973)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967973)Termination reason: Instruction limit
% 20.70/3.94 % (3967973)Termination phase: Saturation
% 20.70/3.94 % (3967973)Time elapsed: 0.537 s
% 20.70/3.94 % (3967973)Peak memory usage: 104 MB
% 20.70/3.94 % (3967973)Instructions burned: 907 (million)
% 20.70/3.94 % (3967980)Instruction limit reached!
% 20.70/3.94 % (3967980)------------------------------
% 20.70/3.94 % (3967980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967980)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967980)Termination reason: Instruction limit
% 20.70/3.94 % (3967980)Termination phase: NewCNF
% 20.70/3.94 % (3967980)Time elapsed: 0.103 s
% 20.70/3.94 % (3967980)Peak memory usage: 95 MB
% 20.70/3.94 % (3967980)Instructions burned: 134 (million)
% 20.70/3.94 % (3967965)Instruction limit reached!
% 20.70/3.94 % (3967965)------------------------------
% 20.70/3.94 % (3967965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.70/3.94 % (3967965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.70/3.94 % (3967965)CaDiCaL version: 2.1.3
% 20.70/3.94 % (3967965)Termination reason: Instruction limit
% 20.70/3.94 % (3967965)Termination phase: Saturation
% 20.70/3.94 % (3967965)Time elapsed: 0.955 s
% 20.70/3.94 % (3967965)Peak memory usage: 254 MB
% 20.70/3.94 % (3967965)Instructions burned: 2352 (million)
% 20.70/3.94 % (3967982)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3158900857:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 20.70/3.94 % (3967984)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=1727235718:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 24.09/4.13 % (3967984)Instruction limit reached!
% 24.09/4.13 % (3967984)------------------------------
% 24.09/4.13 % (3967984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967984)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967984)Termination reason: Instruction limit
% 24.09/4.13 % (3967984)Termination phase: SInE selection
% 24.09/4.13 % (3967984)Time elapsed: 0.027 s
% 24.09/4.13 % (3967984)Peak memory usage: 90 MB
% 24.09/4.13 % (3967983)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3125004866:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 24.09/4.13 % (3967984)Instructions burned: 127 (million)
% 24.09/4.13 % (3967988)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2158797308:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 24.09/4.13 % (3967988)Instruction limit reached!
% 24.09/4.13 % (3967988)------------------------------
% 24.09/4.13 % (3967988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967988)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967988)Termination reason: Instruction limit
% 24.09/4.13 % (3967988)Termination phase: Initialization
% 24.09/4.13 % (3967988)Time elapsed: 0.028 s
% 24.09/4.13 % (3967988)Peak memory usage: 90 MB
% 24.09/4.13 % (3967988)Instructions burned: 136 (million)
% 24.09/4.13 % (3967990)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1426329383:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 24.09/4.13 % (3967982)Instruction limit reached!
% 24.09/4.13 % (3967982)------------------------------
% 24.09/4.13 % (3967982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967982)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967982)Termination reason: Instruction limit
% 24.09/4.13 % (3967982)Termination phase: Property scanning
% 24.09/4.13 % (3967982)Time elapsed: 0.289 s
% 24.09/4.13 % (3967982)Peak memory usage: 96 MB
% 24.09/4.13 % (3967982)Instructions burned: 593 (million)
% 24.09/4.13 % (3967990)Refutation not found, incomplete strategy
% 24.09/4.13 % (3967990)------------------------------
% 24.09/4.13 % (3967990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967990)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967990)Termination reason: Refutation not found, incomplete strategy
% 24.09/4.13 % (3967990)Time elapsed: 0.015 s
% 24.09/4.13 % (3967990)Peak memory usage: 94 MB
% 24.09/4.13 % (3967990)Instructions burned: 32 (million)
% 24.09/4.13 % (3967992)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2761148655:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 24.09/4.13 % (3967990)------------------------------
% 24.09/4.13 % (3967990)------------------------------
% 24.09/4.13 % (3967992)Refutation not found, incomplete strategy
% 24.09/4.13 % (3967992)------------------------------
% 24.09/4.13 % (3967992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967992)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967992)Termination reason: Refutation not found, incomplete strategy
% 24.09/4.13 % (3967992)Time elapsed: 0.027 s
% 24.09/4.13 % (3967992)Peak memory usage: 94 MB
% 24.09/4.13 % (3967992)Instructions burned: 32 (million)
% 24.09/4.13 % (3967994)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=119570326:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 24.09/4.13 % (3967992)------------------------------
% 24.09/4.13 % (3967992)------------------------------
% 24.09/4.13 % (3967996)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=3315077823:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 24.09/4.13 % (3967944)Refutation not found, incomplete strategy
% 24.09/4.13 % (3967944)------------------------------
% 24.09/4.13 % (3967944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967944)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967944)Termination reason: Refutation not found, incomplete strategy
% 24.09/4.13 % (3967944)Time elapsed: 2.389 s
% 24.09/4.13 % (3967944)Peak memory usage: 244 MB
% 24.09/4.13 % (3967944)Instructions burned: 3665 (million)
% 24.09/4.13 % (3967996)Instruction limit reached!
% 24.09/4.13 % (3967996)------------------------------
% 24.09/4.13 % (3967996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3967996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3967996)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3967996)Termination reason: Instruction limit
% 24.09/4.13 % (3967996)Termination phase: Preprocessing 3
% 24.09/4.13 % (3967996)Time elapsed: 0.096 s
% 24.09/4.13 % (3967996)Peak memory usage: 94 MB
% 24.09/4.13 % (3967996)Instructions burned: 150 (million)
% 24.09/4.13 % (3967998)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3306254821:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 24.09/4.13 % (3967944)------------------------------
% 24.09/4.13 % (3967944)------------------------------
% 24.09/4.13 % (3968000)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=860138173:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 24.09/4.13 % (3967977)First to succeed.
% 24.09/4.13 % (3967977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3967937"
% 24.09/4.13 % (3968000)Instruction limit reached!
% 24.09/4.13 % (3968000)------------------------------
% 24.09/4.13 % (3968000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.09/4.13 % (3968000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.09/4.13 % (3968000)CaDiCaL version: 2.1.3
% 24.09/4.13 % (3968000)Termination reason: Instruction limit
% 24.09/4.13 % (3968000)Termination phase: Saturation
% 24.22/4.13 % (3968000)Time elapsed: 0.318 s
% 24.22/4.13 % (3968000)Peak memory usage: 101 MB
% 24.22/4.13 % (3968000)Instructions burned: 668 (million)
% 24.22/4.13 % (3967977)Refutation found. Thanks to Tanya!
% 24.22/4.13 % SZS status ContradictoryAxioms for theBenchmark
% 24.22/4.13 % SZS output start Proof for theBenchmark
% See solution above
% 24.22/4.13 % (3967977)------------------------------
% 24.22/4.13 % (3967977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.22/4.13 % (3967977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.22/4.13 % (3967977)CaDiCaL version: 2.1.3
% 24.22/4.13 % (3967977)Termination reason: Refutation
% 24.22/4.13 % (3967977)Time elapsed: 1.897 s
% 24.22/4.13 % (3967977)Peak memory usage: 172 MB
% 24.22/4.13 % (3967977)Instructions burned: 3180 (million)
% 24.22/4.13 % (3967977)------------------------------
% 24.22/4.13 % (3967977)------------------------------
% 24.22/4.13 % (3967937)Success in time 3.503 s
% 24.22/4.13 % Vampire exiting
%------------------------------------------------------------------------------