%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM003_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:38:59 AM UTC 2026
% Result : Satisfiable 2.75s 1.16s
% Output : Saturation 2.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u51,axiom,
sP1 ).
cnf(u57,axiom,
outputs(sK8,bad) ).
cnf(u65,axiom,
( ~ halts2(sK8,as_input(X1))
| ~ halts2(X1,as_input(X1)) ) ).
cnf(u70,axiom,
( ~ outputs(X0,bad)
| halts2(sK7(X0),as_input(sK7(X0)))
| ~ halts2(X0,as_input(sK7(X0))) ) ).
cnf(u74,axiom,
( ~ outputs(X0,good)
| ~ halts2(sK7(X0),as_input(sK7(X0)))
| ~ halts2(X0,as_input(sK7(X0))) ) ).
cnf(u78,axiom,
( ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ halts2(X0,as_input(sK7(X0))) ) ).
cnf(u82,axiom,
sP0 ).
cnf(u85,axiom,
outputs(sK6,bad) ).
cnf(u100,axiom,
( halts2(sK6,as_input(X1))
| ~ halts2(X1,as_input(X1)) ) ).
cnf(u105,axiom,
( ~ halts3(X0,sK5(X0),as_input(sK5(X0)))
| ~ outputs(X0,bad)
| halts2(sK5(X0),as_input(sK5(X0))) ) ).
cnf(u109,axiom,
( ~ halts3(X0,sK5(X0),as_input(sK5(X0)))
| ~ halts2(sK5(X0),as_input(sK5(X0)))
| ~ outputs(X0,good) ) ).
cnf(u113,axiom,
( ~ halts3(X0,sK5(X0),as_input(sK5(X0)))
| ~ outputs(X0,bad)
| ~ outputs(X0,good) ) ).
cnf(u120,axiom,
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,bad) ) ).
cnf(u127,axiom,
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,good) ) ).
cnf(u131,axiom,
~ decides(X3,sK3(X3),sK4(X3)) ).
cnf(u165,axiom,
~ halts2(sK8,as_input(sK7(sK8))) ).
cnf(u176,axiom,
halts2(sK7(sK6),as_input(sK7(sK6))) ).
cnf(u29,axiom,
( halts3(X0,X3,X4)
| halts2(X3,X4)
| ~ decides(algorithm_of(X0),X1,X2) ) ).
cnf(u192,axiom,
( ~ decides(algorithm_of(X0),X1,X2)
| ~ outputs(X0,good)
| ~ halts2(sK5(X0),as_input(sK5(X0))) ) ).
cnf(u143,axiom,
~ halts2(sK8,as_input(sK8)) ).
cnf(u31,axiom,
( halts3(X0,X3,X4)
| ~ halts2(X3,X4)
| ~ decides(algorithm_of(X0),X1,X2) ) ).
cnf(u189,axiom,
( ~ decides(algorithm_of(X0),X1,X2)
| halts2(sK5(X0),as_input(sK5(X0)))
| ~ outputs(X0,bad) ) ).
cnf(u185,axiom,
~ halts2(sK8,as_input(sK7(sK6))) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM003_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:40:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.75/1.16 % (2880629)Detected formulas, will run a generic FOF schedule.
% 2.75/1.16 % (2880640)dis-21_1_sil=8000:lcm=predicate:random_seed=4293192501: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)
% 2.75/1.16 % (2880640)First to succeed.
% 2.75/1.16 % (2880640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2880629"
% 2.75/1.16 % (2880637)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1889273593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.75/1.16 % (2880638)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2443363251:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.75/1.16 % (2880635)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=1279814349:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.75/1.16 % (2880636)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=2564893693:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.75/1.16 % (2880634)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=2781410937:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.75/1.16 % (2880638)Refutation not found, incomplete strategy
% 2.75/1.16 % (2880638)------------------------------
% 2.75/1.16 % (2880638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.16 % (2880638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.16 % (2880638)CaDiCaL version: 2.1.3
% 2.75/1.16 % (2880637)Refutation not found, incomplete strategy
% 2.75/1.16 % (2880637)------------------------------
% 2.75/1.16 % (2880637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.16 % (2880638)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.16 % (2880638)Time elapsed: 0.0000 s
% 2.75/1.16 % (2880638)Peak memory usage: 86 MB
% 2.75/1.16 % (2880637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.16 % (2880637)CaDiCaL version: 2.1.3
% 2.75/1.16 % (2880637)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.16 % (2880637)Time elapsed: 0.0000 s
% 2.75/1.16 % (2880637)Peak memory usage: 86 MB
% 2.75/1.16 % (2880639)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=927028057:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.75/1.16 % (2880639)Refutation not found, incomplete strategy
% 2.75/1.16 % (2880639)------------------------------
% 2.75/1.16 % (2880639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.16 % (2880639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.16 % (2880639)CaDiCaL version: 2.1.3
% 2.75/1.16 % (2880639)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.16 % (2880639)Time elapsed: 0.003 s
% 2.75/1.16 % (2880639)Peak memory usage: 88 MB
% 2.75/1.16 % (2880639)Instructions burned: 2 (million)
% 2.75/1.16 % SZS status Satisfiable for theBenchmark
% 2.75/1.16 % SZS output start Saturation.
% See solution above
% 2.75/1.16 % SZS output start Definitions and Model Updates.
% 2.75/1.16 % SZS output end Definitions and Model Updates.
% 2.75/1.16 % (2880640)------------------------------
% 2.75/1.16 % (2880640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.16 % (2880640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.16 % (2880640)CaDiCaL version: 2.1.3
% 2.75/1.16 % (2880640)Termination reason: Satisfiable
% 2.75/1.16 % (2880640)Time elapsed: 0.002 s
% 2.75/1.16 % (2880640)Peak memory usage: 88 MB
% 2.75/1.16 % (2880640)Instructions burned: 2 (million)
% 2.75/1.16 % (2880640)------------------------------
% 2.75/1.16 % (2880640)------------------------------
% 2.75/1.16 % (2880629)Success in time 0.297 s
% 2.75/1.16 % Vampire exiting
%------------------------------------------------------------------------------