%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO661+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:53:11 AM UTC 2026
% Result : Satisfiable 7.97s 2.06s
% Output : Saturation 7.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u33,axiom,
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ) ).
cnf(u43,axiom,
( ~ equidistant(X4,X1,X4,X2)
| between(X3,X4,X0)
| between(X4,X0,X3)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X1,X3,X2)
| between(X0,X3,X4)
| X1 = X2 ) ).
cnf(u32,axiom,
equidistant(X0,X1,X1,X0) ).
cnf(u42,axiom,
~ between(sK2,sK3,sK4) ).
cnf(u35,axiom,
( ~ between(X0,X1,sK0(X0,X1,X2,X3))
| equidistant(X1,sK0(X0,X1,X2,X3),X2,X3) ) ).
cnf(u34,axiom,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ) ).
cnf(u39,axiom,
( ~ between(X3,X4,X2)
| ~ between(X0,X1,X2)
| between(X1,sK1(X0,X1,X3,X4),X3) ) ).
cnf(u45,axiom,
( ~ between(X3,X1,X4)
| ~ between(X0,X1,X2)
| between(X0,X4,sK6(X0,X2,X3,X4))
| X0 = X1 ) ).
cnf(u44,axiom,
( ~ between(X3,X1,X4)
| ~ between(X0,X1,X2)
| between(sK5(X0,X2,X3,X4),X2,sK6(X0,X2,X3,X4))
| X0 = X1 ) ).
cnf(u37,axiom,
( ~ between(X0,X1,X0)
| X0 = X1 ) ).
cnf(u47,axiom,
( ~ between(X1,X5,X3)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X0,X1,X3)
| equidistant(X0,X5,X0,sK7(X0,X2,X4,X5)) ) ).
cnf(u38,axiom,
( ~ between(X3,X4,X2)
| ~ between(X0,X1,X2)
| between(X4,sK1(X0,X1,X3,X4),X0) ) ).
cnf(u48,axiom,
( ~ between(X1,X5,X3)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X0,X1,X3)
| between(X2,sK7(X0,X2,X4,X5),X4) ) ).
cnf(u36,axiom,
( ~ between(X2,X3,X5)
| ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X4)
| equidistant(X4,X6,X5,X7)
| X0 = X1 ) ).
cnf(u46,axiom,
( ~ between(X3,X1,X4)
| ~ between(X0,X1,X2)
| between(X0,X3,sK5(X0,X2,X3,X4))
| X0 = X1 ) ).
cnf(u54,axiom,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ) ).
cnf(u41,axiom,
~ between(sK3,sK4,sK2) ).
cnf(u51,axiom,
equidistant(X0,X1,X0,X1) ).
cnf(u40,axiom,
~ between(sK4,sK2,sK3) ).
cnf(u50,axiom,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO661+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 08:47:23 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 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
% 6.65/1.86 % (2036977)Detected formulas, will run a generic FOF schedule.
% 6.65/1.86 % (2036986)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2479602556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/1.86 % (2036986)Refutation not found, incomplete strategy
% 6.65/1.86 % (2036986)------------------------------
% 6.65/1.86 % (2036986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.86 % (2036986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.86 % (2036986)CaDiCaL version: 2.1.3
% 6.65/1.86 % (2036986)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.86 % (2036986)Time elapsed: 0.0000 s
% 6.65/1.86 % (2036986)Peak memory usage: 86 MB
% 6.65/1.86 % (2036983)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=890394428:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/1.86 % (2036982)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=2079971068:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/1.86 % (2036987)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3219810458:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/1.86 % (2036985)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1209911278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/1.86 % (2036984)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=2549655190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/1.86 % (2036988)dis-21_1_sil=8000:lcm=predicate:random_seed=1555813292:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.65/1.86 % (2036985)Refutation not found, incomplete strategy
% 6.65/1.86 % (2036985)------------------------------
% 6.65/1.86 % (2036985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.86 % (2036985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.86 % (2036985)CaDiCaL version: 2.1.3
% 6.65/1.86 % (2036985)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.86 % (2036985)Time elapsed: 0.0000 s
% 6.65/1.86 % (2036985)Peak memory usage: 86 MB
% 6.65/1.86 % (2036988)Refutation not found, incomplete strategy
% 6.65/1.86 % (2036988)------------------------------
% 6.65/1.86 % (2036988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.86 % (2036988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.86 % (2036988)CaDiCaL version: 2.1.3
% 6.65/1.86 % (2036988)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.86 % (2036988)Time elapsed: 0.002 s
% 6.65/1.86 % (2036988)Peak memory usage: 88 MB
% 6.65/1.86 % (2036988)Instructions burned: 1 (million)
% 6.65/1.86 % (2036987)Instruction limit reached!
% 6.65/1.86 % (2036987)------------------------------
% 6.65/1.86 % (2036987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.86 % (2036987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.86 % (2036987)CaDiCaL version: 2.1.3
% 6.65/1.86 % (2036987)Termination reason: Instruction limit
% 6.65/1.86 % (2036987)Termination phase: Saturation
% 6.65/1.86 % (2036987)Time elapsed: 0.077 s
% 6.65/1.86 % (2036987)Peak memory usage: 88 MB
% 6.65/1.86 % (2036987)Instructions burned: 140 (million)
% 6.65/1.86 % (2036986)------------------------------
% 6.65/1.86 % (2036986)------------------------------
% 6.65/1.86 % (2036997)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2071314112:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.65/1.86 % (2036997)Refutation not found, incomplete strategy
% 6.65/1.86 % (2036997)------------------------------
% 6.65/1.86 % (2036997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.86 % (2036997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.86 % (2036997)CaDiCaL version: 2.1.3
% 6.65/1.86 % (2036997)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.86 % (2036997)Time elapsed: 0.0000 s
% 6.65/1.86 % (2036997)Peak memory usage: 87 MB
% 6.65/1.86 % (2036996)lrs+10_1_sil=8000:sp=occurrence:random_seed=4021079177:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.97/2.06 % (2036996)Refutation not found, incomplete strategy
% 7.97/2.06 % (2036996)------------------------------
% 7.97/2.06 % (2036996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2036996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2036996)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2036996)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2036996)Time elapsed: 0.0000 s
% 7.97/2.06 % (2036996)Peak memory usage: 86 MB
% 7.97/2.06 % (2036988)------------------------------
% 7.97/2.06 % (2036988)------------------------------
% 7.97/2.06 % (2036985)------------------------------
% 7.97/2.06 % (2036985)------------------------------
% 7.97/2.06 % (2036997)------------------------------
% 7.97/2.06 % (2036997)------------------------------
% 7.97/2.06 % (2037001)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=1270552997:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.97/2.06 % (2037000)lrs+1011_1_sil=32000:sp=occurrence:random_seed=59460593:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.97/2.06 % (2037000)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037000)------------------------------
% 7.97/2.06 % (2037000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037000)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037000)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037000)Time elapsed: 0.001 s
% 7.97/2.06 % (2037000)Peak memory usage: 86 MB
% 7.97/2.06 % (2037001)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037001)------------------------------
% 7.97/2.06 % (2037001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037001)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037001)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037001)Time elapsed: 0.003 s
% 7.97/2.06 % (2037001)Peak memory usage: 88 MB
% 7.97/2.06 % (2037001)Instructions burned: 3 (million)
% 7.97/2.06 % (2036996)------------------------------
% 7.97/2.06 % (2036996)------------------------------
% 7.97/2.06 % (2037002)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1911079138:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.97/2.06 % (2037002)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037002)------------------------------
% 7.97/2.06 % (2037002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037002)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037002)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037002)Time elapsed: 0.0000 s
% 7.97/2.06 % (2037002)Peak memory usage: 86 MB
% 7.97/2.06 % (2036984)Refutation not found, incomplete strategy
% 7.97/2.06 % (2036984)------------------------------
% 7.97/2.06 % (2036984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2036984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2036984)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2036984)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2036984)Time elapsed: 0.563 s
% 7.97/2.06 % (2036984)Peak memory usage: 125 MB
% 7.97/2.06 % (2036984)Instructions burned: 831 (million)
% 7.97/2.06 % (2036983)First to succeed.
% 7.97/2.06 % (2036983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2036977"
% 7.97/2.06 % (2037005)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1655206283:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.97/2.06 % (2037001)------------------------------
% 7.97/2.06 % (2037001)------------------------------
% 7.97/2.06 % (2037000)------------------------------
% 7.97/2.06 % (2037000)------------------------------
% 7.97/2.06 % (2037002)------------------------------
% 7.97/2.06 % (2037002)------------------------------
% 7.97/2.06 % (2037009)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3338189960:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.97/2.06 % (2037009)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037009)------------------------------
% 7.97/2.06 % (2037009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037009)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037009)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037009)Time elapsed: 0.001 s
% 7.97/2.06 % (2037009)Peak memory usage: 88 MB
% 7.97/2.06 % (2037009)Instructions burned: 1 (million)
% 7.97/2.06 % (2036984)------------------------------
% 7.97/2.06 % (2036984)------------------------------
% 7.97/2.06 % (2037010)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=697976750:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.97/2.06 % (2037008)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3941174155:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 7.97/2.06 % (2037010)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037010)------------------------------
% 7.97/2.06 % (2037010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037010)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037010)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037010)Time elapsed: 0.001 s
% 7.97/2.06 % (2037010)Peak memory usage: 87 MB
% 7.97/2.06 % (2037008)Refutation not found, incomplete strategy
% 7.97/2.06 % (2037008)------------------------------
% 7.97/2.06 % (2037008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2037008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2037008)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2037008)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.06 % (2037008)Time elapsed: 0.001 s
% 7.97/2.06 % (2037008)Peak memory usage: 88 MB
% 7.97/2.06 % (2037008)Instructions burned: 1 (million)
% 7.97/2.06 % SZS status Satisfiable for theBenchmark
% 7.97/2.06 % SZS output start Saturation.
% See solution above
% 7.97/2.06 % SZS output start Definitions and Model Updates.
% 7.97/2.06 % SZS output end Definitions and Model Updates.
% 7.97/2.06 % (2036983)------------------------------
% 7.97/2.06 % (2036983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.06 % (2036983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.06 % (2036983)CaDiCaL version: 2.1.3
% 7.97/2.06 % (2036983)Termination reason: Satisfiable
% 7.97/2.06 % (2036983)Time elapsed: 0.610 s
% 7.97/2.06 % (2036983)Peak memory usage: 127 MB
% 7.97/2.06 % (2036983)Instructions burned: 902 (million)
% 7.97/2.06 % (2036983)------------------------------
% 7.97/2.06 % (2036983)------------------------------
% 7.97/2.06 % (2036977)Success in time 1.041 s
% 7.97/2.06 % Vampire exiting
%------------------------------------------------------------------------------