%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO640+1 : TPTP v9.3.1. Released v7.1.0.
% 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 02:28:29 PM UTC 2026
% Result : Satisfiable 10.68s 2.57s
% Output : Saturation 10.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u10,axiom,
( ~ f(X0,sK1,sK0)
| f(X0,sK2,sK0) ) ).
cnf(u8,axiom,
f(sK1,sK2,sK0) ).
cnf(u5,axiom,
~ f(sK2,sK3,sK0) ).
cnf(u14,axiom,
( ~ f(X0,sK2,sK0)
| ~ f(X1,X0,sK0)
| f(X1,sK1,sK0) ) ).
cnf(u7,axiom,
f(sK2,sK1,sK0) ).
cnf(u9,axiom,
( f(X0,sK1,sK0)
| ~ f(X0,sK2,sK0) ) ).
cnf(u11,axiom,
f(sK2,sK2,sK0) ).
cnf(u4,axiom,
( ~ f(X6,X7,X8)
| ~ f(X5,X6,X8)
| f(X5,X7,X8) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO640+1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n010.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 18:00:32 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 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
% 10.68/2.57 % (2146258)Detected formulas, will run a generic FOF schedule.
% 10.68/2.57 % (2146269)dis-21_1_sil=8000:lcm=predicate:random_seed=1417639100: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)
% 10.68/2.57 % (2146268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1131007832:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.68/2.57 % (2146269)Instruction limit reached!
% 10.68/2.57 % (2146269)------------------------------
% 10.68/2.57 % (2146269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146269)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146269)Termination reason: Instruction limit
% 10.68/2.57 % (2146269)Termination phase: Saturation
% 10.68/2.57 % (2146269)Time elapsed: 0.043 s
% 10.68/2.57 % (2146269)Peak memory usage: 87 MB
% 10.68/2.57 % (2146269)Instructions burned: 133 (million)
% 10.68/2.57 % (2146268)Instruction limit reached!
% 10.68/2.57 % (2146268)------------------------------
% 10.68/2.57 % (2146268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146268)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146268)Termination reason: Instruction limit
% 10.68/2.57 % (2146268)Termination phase: Saturation
% 10.68/2.57 % (2146268)Time elapsed: 0.086 s
% 10.68/2.57 % (2146268)Peak memory usage: 88 MB
% 10.68/2.57 % (2146268)Instructions burned: 139 (million)
% 10.68/2.57 % (2146263)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=1035088540:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.68/2.57 % (2146264)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=1563197427:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.68/2.57 % (2146265)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=2810998304:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.68/2.57 % (2146267)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3298603545:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.68/2.57 % (2146267)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146267)------------------------------
% 10.68/2.57 % (2146267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146267)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146267)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146267)Time elapsed: 0.001 s
% 10.68/2.57 % (2146267)Peak memory usage: 86 MB
% 10.68/2.57 % (2146266)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2058899109:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.68/2.57 % (2146266)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146266)------------------------------
% 10.68/2.57 % (2146266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146266)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146266)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146266)Time elapsed: 0.001 s
% 10.68/2.57 % (2146266)Peak memory usage: 86 MB
% 10.68/2.57 % (2146272)lrs+10_1_sil=8000:sp=occurrence:random_seed=2762796908:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.68/2.57 % (2146272)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146272)------------------------------
% 10.68/2.57 % (2146272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146272)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146272)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146272)Time elapsed: 0.0000 s
% 10.68/2.57 % (2146272)Peak memory usage: 86 MB
% 10.68/2.57 % (2146276)lrs+10_1_sil=32000:urr=on:br=off:random_seed=216222046:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.68/2.57 % (2146276)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146276)------------------------------
% 10.68/2.57 % (2146276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146276)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146276)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146276)Time elapsed: 0.001 s
% 10.68/2.57 % (2146276)Peak memory usage: 87 MB
% 10.68/2.57 % (2146272)------------------------------
% 10.68/2.57 % (2146272)------------------------------
% 10.68/2.57 % (2146267)------------------------------
% 10.68/2.57 % (2146267)------------------------------
% 10.68/2.57 % (2146266)------------------------------
% 10.68/2.57 % (2146266)------------------------------
% 10.68/2.57 % (2146283)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1131855428:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 10.68/2.57 % (2146283)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146283)------------------------------
% 10.68/2.57 % (2146283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146283)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146283)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146283)Time elapsed: 0.0000 s
% 10.68/2.57 % (2146283)Peak memory usage: 86 MB
% 10.68/2.57 % (2146276)------------------------------
% 10.68/2.57 % (2146276)------------------------------
% 10.68/2.57 % (2146284)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=2853266339:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.68/2.57 % (2146284)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146284)------------------------------
% 10.68/2.57 % (2146284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146284)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146284)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146284)Time elapsed: 0.002 s
% 10.68/2.57 % (2146284)Peak memory usage: 88 MB
% 10.68/2.57 % (2146285)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=17129430:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.68/2.57 % (2146285)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146285)------------------------------
% 10.68/2.57 % (2146285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146285)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146285)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146285)Time elapsed: 0.0000 s
% 10.68/2.57 % (2146285)Peak memory usage: 86 MB
% 10.68/2.57 % (2146283)------------------------------
% 10.68/2.57 % (2146283)------------------------------
% 10.68/2.57 % (2146265)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146265)------------------------------
% 10.68/2.57 % (2146265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146265)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146265)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146265)Time elapsed: 0.863 s
% 10.68/2.57 % (2146265)Peak memory usage: 125 MB
% 10.68/2.57 % (2146265)Instructions burned: 825 (million)
% 10.68/2.57 % (2146264)First to succeed.
% 10.68/2.57 % (2146264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2146258"
% 10.68/2.57 % (2146263)Also succeeded, but the first one will report.
% 10.68/2.57 % (2146289)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4108607744:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 10.68/2.57 % (2146285)------------------------------
% 10.68/2.57 % (2146285)------------------------------
% 10.68/2.57 % (2146290)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2112389455:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 10.68/2.57 % (2146290)Refutation not found, incomplete strategy
% 10.68/2.57 % (2146290)------------------------------
% 10.68/2.57 % (2146290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146290)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146290)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.57 % (2146290)Time elapsed: 0.002 s
% 10.68/2.57 % (2146290)Peak memory usage: 88 MB
% 10.68/2.57 % (2146284)------------------------------
% 10.68/2.57 % (2146284)------------------------------
% 10.68/2.57 % SZS status Satisfiable for theBenchmark
% 10.68/2.57 % SZS output start Saturation.
% See solution above
% 10.68/2.57 % SZS output start Definitions and Model Updates.
% 10.68/2.57 for all groundings, until fixed point,
% 10.68/2.57 whenever f(sK2,sK2,X4) | ~f(sK2,sK3,X4) is false, set f(sK2,sK2,X4) to true
% 10.68/2.57 % SZS output end Definitions and Model Updates.
% 10.68/2.57 % (2146264)------------------------------
% 10.68/2.57 % (2146264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.57 % (2146264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.57 % (2146264)CaDiCaL version: 2.1.3
% 10.68/2.57 % (2146264)Termination reason: Satisfiable
% 10.68/2.57 % (2146264)Time elapsed: 0.882 s
% 10.68/2.57 % (2146264)Peak memory usage: 127 MB
% 10.68/2.57 % (2146264)Instructions burned: 895 (million)
% 10.68/2.57 % (2146264)------------------------------
% 10.68/2.57 % (2146264)------------------------------
% 10.68/2.57 % (2146258)Success in time 1.398 s
% 10.68/2.57 % Vampire exiting
%------------------------------------------------------------------------------