%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ018-2 : TPTP v9.3.1. Released v1.2.0.
% 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 12:31:14 PM UTC 2026
% Result : Satisfiable 1.08s 1.76s
% Output : Saturation 5.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u95,axiom,
~ all_on(saturday) ).
cnf(u53,axiom,
all_on(friday) ).
cnf(u97,axiom,
~ all_on(thursday) ).
cnf(u100,axiom,
~ all_on(wednesday) ).
cnf(u104,axiom,
~ all_on(tuesday) ).
cnf(u109,axiom,
~ all_on(monday) ).
cnf(u115,axiom,
~ all_on(sunday) ).
cnf(u131,axiom,
~ on(c,wednesday) ).
cnf(u551,axiom,
on(b,wednesday) ).
cnf(u550,axiom,
on(a,wednesday) ).
cnf(u611,axiom,
on(c,monday) ).
cnf(u145,axiom,
~ on(b,monday) ).
cnf(u563,axiom,
on(a,monday) ).
cnf(u177,axiom,
( ~ consecutive(X0,saturday)
| ~ on(X2,sunday)
| ~ on(X2,saturday)
| ~ on(X2,X0) ) ).
cnf(u184,axiom,
( ~ consecutive(X0,friday)
| ~ on(X2,saturday)
| ~ on(X2,friday)
| ~ on(X2,X0) ) ).
cnf(u191,axiom,
( ~ consecutive(X0,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,wednesday)
| ~ on(X2,X0) ) ).
cnf(u198,axiom,
( ~ consecutive(X0,monday)
| ~ on(X2,tuesday)
| ~ on(X2,monday)
| ~ on(X2,X0) ) ).
cnf(u603,axiom,
on(c,thursday) ).
cnf(u222,axiom,
~ on(c,saturday) ).
cnf(u237,axiom,
~ consecutive(thursday,thursday) ).
cnf(u244,axiom,
~ consecutive(tuesday,tuesday) ).
cnf(u251,axiom,
~ consecutive(sunday,sunday) ).
cnf(u264,axiom,
~ consecutive(saturday,saturday) ).
cnf(u281,axiom,
~ consecutive(sunday,saturday) ).
cnf(u285,axiom,
~ consecutive(saturday,friday) ).
cnf(u292,axiom,
~ consecutive(thursday,wednesday) ).
cnf(u299,axiom,
~ consecutive(tuesday,monday) ).
cnf(u319,axiom,
~ consecutive(tuesday,saturday) ).
cnf(u326,axiom,
~ consecutive(tuesday,friday) ).
cnf(u330,axiom,
( ~ on(X0,wednesday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) ) ).
cnf(u350,axiom,
~ consecutive(thursday,saturday) ).
cnf(u354,axiom,
( ~ on(X0,friday)
| ~ on(X0,wednesday)
| ~ on(X0,thursday) ) ).
cnf(u364,axiom,
~ consecutive(thursday,monday) ).
cnf(u385,axiom,
~ consecutive(saturday,wednesday) ).
cnf(u392,axiom,
~ consecutive(saturday,monday) ).
cnf(u410,axiom,
~ consecutive(sunday,thursday) ).
cnf(u417,axiom,
~ consecutive(sunday,wednesday) ).
cnf(u424,axiom,
~ consecutive(sunday,tuesday) ).
cnf(u428,axiom,
( ~ on(X0,monday)
| ~ on(X0,saturday)
| ~ on(X0,sunday) ) ).
cnf(u448,axiom,
~ consecutive(thursday,sunday) ).
cnf(u471,axiom,
~ consecutive(saturday,tuesday) ).
cnf(u496,axiom,
~ consecutive(tuesday,thursday) ).
cnf(u539,axiom,
on(a,saturday) ).
cnf(u559,axiom,
on(b,tuesday) ).
cnf(u574,axiom,
on(b,sunday) ).
cnf(u608,axiom,
on(c,tuesday) ).
cnf(u641,axiom,
on(a,friday) ).
cnf(u644,axiom,
on(b,friday) ).
cnf(u650,axiom,
on(c,friday) ).
cnf(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday) ).
cnf(u209,axiom,
( ~ on(X0,friday)
| ~ on(X0,saturday)
| ~ on(X0,thursday) ) ).
cnf(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday) ).
cnf(thursday_not_saturday,axiom,
~ same_day(thursday,saturday) ).
cnf(u161,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,tuesday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,tuesday) ) ).
cnf(c_off_sunday,axiom,
~ on(c,sunday) ).
cnf(wednesday_not_friday,axiom,
~ same_day(wednesday,friday) ).
cnf(u164,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,friday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,friday) ) ).
cnf(u171,axiom,
( ~ consecutive(X0,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,X0) ) ).
cnf(monday_not_friday,axiom,
~ same_day(monday,friday) ).
cnf(u227,axiom,
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(b,X1)
| on(b,X0) ) ).
cnf(sunday_follows_saturday,axiom,
consecutive(saturday,sunday) ).
cnf(sunday_not_friday,axiom,
~ same_day(sunday,friday) ).
cnf(monday_not_tuesday,axiom,
~ same_day(monday,tuesday) ).
cnf(u154,axiom,
( ~ consecutive(sunday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,saturday)
| ~ on(X2,sunday)
| ~ on(X2,X0) ) ).
cnf(sunday_not_wednesday,axiom,
~ same_day(sunday,wednesday) ).
cnf(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday) ).
cnf(a_off_sunday,axiom,
~ on(a,sunday) ).
cnf(all_on_c_on,axiom,
( ~ all_on(X0)
| on(c,X0) ) ).
cnf(sunday_not_thursday,axiom,
~ same_day(sunday,thursday) ).
cnf(u159,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,sunday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,sunday) ) ).
cnf(tuesday_not_friday,axiom,
~ same_day(tuesday,friday) ).
cnf(u151,axiom,
( ~ consecutive(tuesday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,monday)
| ~ on(X2,tuesday)
| ~ on(X2,X0) ) ).
cnf(u153,axiom,
( ~ consecutive(saturday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,friday)
| ~ on(X2,saturday)
| ~ on(X2,X0) ) ).
cnf(staurday_follows_friday,axiom,
consecutive(friday,saturday) ).
cnf(tuesday_not_wednesday,axiom,
~ same_day(tuesday,wednesday) ).
cnf(no_two_off_twice_together,axiom,
( same_person(X0,X3)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| on(X0,X1)
| same_day(X1,X2) ) ).
cnf(monday_follows_sunday,axiom,
consecutive(sunday,monday) ).
cnf(u162,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,wednesday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,wednesday) ) ).
cnf(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday) ).
cnf(sunday_not_monday,axiom,
~ same_day(sunday,monday) ).
cnf(u454,axiom,
( ~ consecutive(X0,sunday)
| ~ on(X1,X0)
| ~ on(X1,sunday)
| ~ on(X1,monday) ) ).
cnf(b_not_c,axiom,
~ same_person(b,c) ).
cnf(all_on_well_defined,axiom,
( same_day(X0,X1)
| ~ all_on(X1)
| ~ all_on(X0) ) ).
cnf(all_on,axiom,
( all_on(X0)
| ~ on(a,X0)
| ~ on(b,X0)
| ~ on(c,X0) ) ).
cnf(u160,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,monday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,monday) ) ).
cnf(a_not_b,axiom,
~ same_person(a,b) ).
cnf(u170,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X0)
| ~ on(X2,X0)
| ~ on(X2,X1) ) ).
cnf(monday_not_thursday,axiom,
~ same_day(monday,thursday) ).
cnf(a_off_thursday,axiom,
~ on(a,thursday) ).
cnf(a_not_c,axiom,
~ same_person(a,c) ).
cnf(reflexivity_for_same_day,axiom,
same_day(X0,X0) ).
cnf(u165,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,saturday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,saturday) ) ).
cnf(u502,axiom,
( ~ consecutive(X0,thursday)
| ~ on(X1,X0)
| ~ on(X1,thursday)
| ~ on(X1,friday) ) ).
cnf(u224,axiom,
( ~ on(X0,monday)
| ~ on(X0,tuesday)
| ~ on(X0,sunday) ) ).
cnf(u226,axiom,
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ) ).
cnf(reflexivity_for_same_person,axiom,
same_person(X0,X0) ).
cnf(u169,axiom,
( ~ consecutive(X1,X0)
| ~ consecutive(X0,X0)
| ~ on(X2,X1)
| ~ on(X2,X0) ) ).
cnf(u213,axiom,
( ~ on(X0,wednesday)
| ~ on(X0,thursday)
| ~ on(X0,tuesday) ) ).
cnf(sunday_not_saturday,axiom,
~ same_day(sunday,saturday) ).
cnf(monday_not_wednesday,axiom,
~ same_day(monday,wednesday) ).
cnf(u225,axiom,
( same_day(X1,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ) ).
cnf(wednesday_not_saturday,axiom,
~ same_day(wednesday,saturday) ).
cnf(all_on_b_on,axiom,
( ~ all_on(X0)
| on(b,X0) ) ).
cnf(u231,axiom,
( ~ consecutive(X0,X0)
| ~ on(X1,X0) ) ).
cnf(wednesday_not_thursday,axiom,
~ same_day(wednesday,thursday) ).
cnf(u152,axiom,
( ~ consecutive(thursday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,X0) ) ).
cnf(a_off_tuesday,axiom,
~ on(a,tuesday) ).
cnf(friday_follows_thursday,axiom,
consecutive(thursday,friday) ).
cnf(monday_not_saturday,axiom,
~ same_day(monday,saturday) ).
cnf(friday_not_saturday,axiom,
~ same_day(friday,saturday) ).
cnf(not_on_for_3_days,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ) ).
cnf(tuesday_not_saturday,axiom,
~ same_day(tuesday,saturday) ).
cnf(all_on_a_on,axiom,
( ~ all_on(X0)
| on(a,X0) ) ).
cnf(u478,axiom,
( ~ consecutive(X0,tuesday)
| ~ on(X1,X0)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday) ) ).
cnf(b_off_thursday,axiom,
~ on(b,thursday) ).
cnf(u208,axiom,
( ~ on(X0,friday)
| ~ on(X0,saturday)
| ~ on(X0,sunday) ) ).
cnf(thursday_not_friday,axiom,
~ same_day(thursday,friday) ).
cnf(b_off_saturday,axiom,
~ on(b,saturday) ).
cnf(tuesday_follows_monday,axiom,
consecutive(monday,tuesday) ).
cnf(u163,axiom,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,thursday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,thursday) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ018-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n010.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 22:30:32 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 1.08/1.76 % (1369729)Input is clausal, will run a generic CNF schedule.
% 1.08/1.76 % (1369736)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2322320284:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.08/1.76 % (1369739)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3718804382:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.08/1.76 % (1369734)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=2829917290:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.08/1.76 % (1369735)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3475932136:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.08/1.76 % (1369739)Instruction limit reached!
% 1.08/1.76 % (1369739)------------------------------
% 1.08/1.76 % (1369739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.08/1.76 % (1369739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/1.76 % (1369739)CaDiCaL version: 2.1.3
% 1.08/1.76 % (1369739)Termination reason: Instruction limit
% 1.08/1.76 % (1369739)Termination phase: Saturation
% 1.08/1.76 % (1369739)Time elapsed: 0.107 s
% 1.08/1.76 % (1369739)Peak memory usage: 89 MB
% 1.08/1.76 % (1369739)Instructions burned: 180 (million)
% 1.08/1.76 % (1369738)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2662347669:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.08/1.76 % (1369737)lrs+10_1_sil=8000:sp=occurrence:random_seed=3148259770:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.08/1.76 % (1369738)Refutation not found, incomplete strategy
% 1.08/1.76 % (1369738)------------------------------
% 1.08/1.76 % (1369738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.08/1.76 % (1369737)Refutation not found, incomplete strategy
% 1.08/1.76 % (1369737)------------------------------
% 1.08/1.76 % (1369737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.08/1.76 % (1369737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/1.76 % (1369738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/1.76 % (1369737)CaDiCaL version: 2.1.3
% 1.08/1.76 % (1369738)CaDiCaL version: 2.1.3
% 1.08/1.76 % (1369737)Termination reason: Refutation not found, incomplete strategy
% 1.08/1.76 % (1369737)Time elapsed: 0.001 s
% 1.08/1.76 % (1369738)Termination reason: Refutation not found, incomplete strategy
% 1.08/1.76 % (1369738)Time elapsed: 0.001 s
% 1.08/1.76 % (1369738)Peak memory usage: 86 MB
% 1.08/1.76 % (1369737)Peak memory usage: 86 MB
% 1.08/1.76 % (1369740)dis-21_1_sil=8000:lcm=predicate:random_seed=3730422547:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.08/1.76 % (1369740)First to succeed.
% 1.08/1.76 % (1369740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1369729"
% 1.08/1.76 % (1369749)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=394380242:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.08/1.76 % (1369749)Refutation not found, incomplete strategy
% 1.08/1.76 % (1369749)------------------------------
% 1.08/1.76 % (1369749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.08/1.76 % (1369749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/1.76 % (1369749)CaDiCaL version: 2.1.3
% 1.08/1.76 % (1369749)Termination reason: Refutation not found, incomplete strategy
% 1.08/1.76 % (1369749)Time elapsed: 0.001 s
% 1.08/1.76 % (1369749)Peak memory usage: 86 MB
% 1.08/1.76 % (1369738)------------------------------
% 1.08/1.76 % (1369738)------------------------------
% 1.08/1.76 % (1369737)------------------------------
% 1.08/1.76 % (1369737)------------------------------
% 1.08/1.76 % SZS status Satisfiable for theBenchmark
% 1.08/1.76 % SZS output start Saturation.
% See solution above
% 5.99/2.07 % SZS output start Definitions and Model Updates.
% 5.99/2.07 % SZS output end Definitions and Model Updates.
% 5.99/2.07 % (1369740)------------------------------
% 5.99/2.07 % (1369740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/2.07 % (1369740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/2.07 % (1369740)CaDiCaL version: 2.1.3
% 5.99/2.07 % (1369740)Termination reason: Satisfiable
% 5.99/2.07 % (1369740)Time elapsed: 0.016 s
% 5.99/2.07 % (1369740)Peak memory usage: 88 MB
% 5.99/2.07 % (1369740)Instructions burned: 12 (million)
% 5.99/2.07 % (1369740)------------------------------
% 5.99/2.07 % (1369740)------------------------------
% 5.99/2.07 % (1369729)Success in time 0.724 s
% 5.99/2.07 % Vampire exiting
%------------------------------------------------------------------------------