%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ018_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 3.52s 1.38s
% Output : Saturation 3.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u149,hypothesis,
~ all_on(saturday) ).
cnf(u108,hypothesis,
all_on(friday) ).
cnf(u154,hypothesis,
~ all_on(thursday) ).
cnf(u156,hypothesis,
~ all_on(wednesday) ).
cnf(u158,hypothesis,
~ all_on(tuesday) ).
cnf(u160,hypothesis,
~ all_on(monday) ).
cnf(u150,hypothesis,
~ all_on(sunday) ).
cnf(u186,hypothesis,
~ on(c,wednesday) ).
cnf(u614,hypothesis,
on(b,wednesday) ).
cnf(u613,hypothesis,
on(a,wednesday) ).
cnf(u670,hypothesis,
on(c,monday) ).
cnf(u201,hypothesis,
~ on(b,monday) ).
cnf(u623,hypothesis,
on(a,monday) ).
cnf(u232,hypothesis,
( ~ consecutive(X0,saturday)
| ~ on(X2,sunday)
| ~ on(X2,saturday)
| ~ on(X2,X0) ) ).
cnf(u239,hypothesis,
( ~ consecutive(X0,friday)
| ~ on(X2,saturday)
| ~ on(X2,friday)
| ~ on(X2,X0) ) ).
cnf(u246,hypothesis,
( ~ consecutive(X0,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,wednesday)
| ~ on(X2,X0) ) ).
cnf(u253,hypothesis,
( ~ consecutive(X0,monday)
| ~ on(X2,tuesday)
| ~ on(X2,monday)
| ~ on(X2,X0) ) ).
cnf(u659,hypothesis,
on(c,thursday) ).
cnf(u277,hypothesis,
~ on(c,saturday) ).
cnf(u292,hypothesis,
~ consecutive(sunday,sunday) ).
cnf(u299,hypothesis,
~ consecutive(thursday,thursday) ).
cnf(u306,hypothesis,
~ consecutive(tuesday,tuesday) ).
cnf(u319,hypothesis,
~ consecutive(saturday,saturday) ).
cnf(u336,hypothesis,
~ consecutive(sunday,saturday) ).
cnf(u340,hypothesis,
~ consecutive(saturday,friday) ).
cnf(u347,hypothesis,
~ consecutive(thursday,wednesday) ).
cnf(u354,hypothesis,
~ consecutive(tuesday,monday) ).
cnf(u374,hypothesis,
~ consecutive(tuesday,saturday) ).
cnf(u381,hypothesis,
~ consecutive(tuesday,friday) ).
cnf(u385,hypothesis,
( ~ on(X0,wednesday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) ) ).
cnf(u406,hypothesis,
~ consecutive(thursday,saturday) ).
cnf(u413,hypothesis,
~ consecutive(thursday,sunday) ).
cnf(u417,hypothesis,
( ~ on(X0,friday)
| ~ on(X0,wednesday)
| ~ on(X0,thursday) ) ).
cnf(u427,hypothesis,
~ consecutive(thursday,monday) ).
cnf(u448,hypothesis,
~ consecutive(saturday,wednesday) ).
cnf(u455,hypothesis,
~ consecutive(saturday,monday) ).
cnf(u472,hypothesis,
~ consecutive(sunday,wednesday) ).
cnf(u479,hypothesis,
~ consecutive(sunday,tuesday) ).
cnf(u483,hypothesis,
( ~ on(X0,monday)
| ~ on(X0,saturday)
| ~ on(X0,sunday) ) ).
cnf(u513,hypothesis,
~ consecutive(saturday,tuesday) ).
cnf(u536,hypothesis,
~ consecutive(sunday,thursday) ).
cnf(u543,hypothesis,
~ consecutive(tuesday,thursday) ).
cnf(u595,hypothesis,
on(a,saturday) ).
cnf(u604,hypothesis,
on(b,sunday) ).
cnf(u621,hypothesis,
on(b,tuesday) ).
cnf(u668,hypothesis,
on(c,tuesday) ).
cnf(u683,hypothesis,
on(a,friday) ).
cnf(u686,hypothesis,
on(b,friday) ).
cnf(u693,hypothesis,
on(c,friday) ).
cnf(u58,axiom,
( ~ all_on(X0)
| on(c,X0) ) ).
cnf(u102,hypothesis,
~ on(c,sunday) ).
cnf(u219,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,sunday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,sunday) ) ).
cnf(u65,axiom,
consecutive(thursday,friday) ).
cnf(u279,hypothesis,
( ~ on(X0,monday)
| ~ on(X0,tuesday)
| ~ on(X0,sunday) ) ).
cnf(u550,hypothesis,
( ~ consecutive(X0,thursday)
| ~ on(X1,X0)
| ~ on(X1,thursday)
| ~ on(X1,friday) ) ).
cnf(u59,axiom,
( all_on(X0)
| ~ on(a,X0)
| ~ on(b,X0)
| ~ on(c,X0) ) ).
cnf(u218,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,friday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,friday) ) ).
cnf(u100,hypothesis,
~ on(b,thursday) ).
cnf(u264,hypothesis,
( ~ on(X0,friday)
| ~ on(X0,saturday)
| ~ on(X0,thursday) ) ).
cnf(u71,axiom,
~ same_person(b,c) ).
cnf(u73,axiom,
~ same_day(sunday,monday) ).
cnf(u83,axiom,
~ same_day(monday,saturday) ).
cnf(u57,axiom,
( ~ all_on(X0)
| on(b,X0) ) ).
cnf(u101,hypothesis,
~ on(b,saturday) ).
cnf(u68,axiom,
same_person(X0,X0) ).
cnf(u282,hypothesis,
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(b,X1)
| on(b,X0) ) ).
cnf(u215,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,tuesday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,tuesday) ) ).
cnf(u91,axiom,
~ same_day(thursday,friday) ).
cnf(u220,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,saturday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,saturday) ) ).
cnf(u82,axiom,
~ same_day(monday,friday) ).
cnf(u76,axiom,
~ same_day(sunday,thursday) ).
cnf(u86,axiom,
~ same_day(tuesday,friday) ).
cnf(u60,axiom,
( same_day(X0,X1)
| ~ all_on(X0)
| ~ all_on(X1) ) ).
cnf(u88,axiom,
~ same_day(wednesday,thursday) ).
cnf(u98,hypothesis,
~ on(a,tuesday) ).
cnf(u263,hypothesis,
( ~ on(X0,friday)
| ~ on(X0,saturday)
| ~ on(X0,sunday) ) ).
cnf(u209,hypothesis,
( ~ consecutive(sunday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,saturday)
| ~ on(X2,sunday)
| ~ on(X2,X0) ) ).
cnf(u84,axiom,
~ same_day(tuesday,wednesday) ).
cnf(u96,hypothesis,
( same_person(X0,X3)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| on(X0,X1)
| same_day(X1,X2) ) ).
cnf(u286,hypothesis,
( ~ consecutive(X0,X0)
| ~ on(X1,X0) ) ).
cnf(u67,axiom,
consecutive(saturday,sunday) ).
cnf(u85,axiom,
~ same_day(tuesday,thursday) ).
cnf(u95,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ) ).
cnf(u97,hypothesis,
~ on(a,sunday) ).
cnf(u217,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,thursday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,thursday) ) ).
cnf(u75,axiom,
~ same_day(sunday,wednesday) ).
cnf(u494,hypothesis,
( ~ consecutive(X0,sunday)
| ~ on(X1,X0)
| ~ on(X1,sunday)
| ~ on(X1,monday) ) ).
cnf(u93,axiom,
~ same_day(friday,saturday) ).
cnf(u214,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,monday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,monday) ) ).
cnf(u216,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,wednesday)
| ~ on(X2,X0)
| ~ on(X2,X1)
| ~ on(X2,wednesday) ) ).
cnf(u70,axiom,
~ same_person(a,c) ).
cnf(u226,hypothesis,
( ~ consecutive(X0,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,X0) ) ).
cnf(u72,axiom,
same_day(X0,X0) ).
cnf(u56,axiom,
( ~ all_on(X0)
| on(a,X0) ) ).
cnf(u92,axiom,
~ same_day(thursday,saturday) ).
cnf(u224,hypothesis,
( ~ consecutive(X1,X0)
| ~ consecutive(X0,X0)
| ~ on(X2,X1)
| ~ on(X2,X0) ) ).
cnf(u78,axiom,
~ same_day(sunday,saturday) ).
cnf(u80,axiom,
~ same_day(monday,wednesday) ).
cnf(u62,axiom,
consecutive(monday,tuesday) ).
cnf(u90,axiom,
~ same_day(wednesday,saturday) ).
cnf(u69,axiom,
~ same_person(a,b) ).
cnf(u225,hypothesis,
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X0)
| ~ on(X2,X0)
| ~ on(X2,X1) ) ).
cnf(u519,hypothesis,
( ~ consecutive(X0,tuesday)
| ~ on(X1,X0)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday) ) ).
cnf(u79,axiom,
~ same_day(monday,tuesday) ).
cnf(u81,axiom,
~ same_day(monday,thursday) ).
cnf(u63,axiom,
consecutive(tuesday,wednesday) ).
cnf(u268,hypothesis,
( ~ on(X0,wednesday)
| ~ on(X0,thursday)
| ~ on(X0,tuesday) ) ).
cnf(u280,hypothesis,
( same_day(X1,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ) ).
cnf(u77,axiom,
~ same_day(sunday,friday) ).
cnf(u87,axiom,
~ same_day(tuesday,saturday) ).
cnf(u61,axiom,
consecutive(sunday,monday) ).
cnf(u89,axiom,
~ same_day(wednesday,friday) ).
cnf(u99,hypothesis,
~ on(a,thursday) ).
cnf(u66,axiom,
consecutive(friday,saturday) ).
cnf(u206,hypothesis,
( ~ consecutive(tuesday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,monday)
| ~ on(X2,tuesday)
| ~ on(X2,X0) ) ).
cnf(u281,hypothesis,
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ) ).
cnf(u208,hypothesis,
( ~ consecutive(saturday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,friday)
| ~ on(X2,saturday)
| ~ on(X2,X0) ) ).
cnf(u64,axiom,
consecutive(wednesday,thursday) ).
cnf(u74,axiom,
~ same_day(sunday,tuesday) ).
cnf(u207,hypothesis,
( ~ consecutive(thursday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ018_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 22:29:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.52/1.38 % (1232294)Detected formulas, will run a generic FOF schedule.
% 3.52/1.38 % (1232301)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=2952749606:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.52/1.38 % (1232304)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3397545735:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.52/1.38 % (1232300)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=934945738:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.52/1.38 % (1232302)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1624702849:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.52/1.38 % (1232303)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3558509502:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.52/1.38 % (1232305)dis-21_1_sil=8000:lcm=predicate:random_seed=2758970045: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)
% 3.52/1.38 % (1232299)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=3998042592:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.52/1.38 % (1232303)Refutation not found, incomplete strategy
% 3.52/1.38 % (1232303)------------------------------
% 3.52/1.38 % (1232303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (1232303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (1232302)Refutation not found, incomplete strategy
% 3.52/1.38 % (1232302)------------------------------
% 3.52/1.38 % (1232302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (1232302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (1232303)CaDiCaL version: 2.1.3
% 3.52/1.38 % (1232303)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.38 % (1232303)Time elapsed: 0.006 s
% 3.52/1.38 % (1232303)Peak memory usage: 87 MB
% 3.52/1.38 % (1232302)CaDiCaL version: 2.1.3
% 3.52/1.38 % (1232303)Instructions burned: 10 (million)
% 3.52/1.38 % (1232302)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.38 % (1232302)Time elapsed: 0.006 s
% 3.52/1.38 % (1232302)Peak memory usage: 88 MB
% 3.52/1.38 % (1232302)Instructions burned: 8 (million)
% 3.52/1.38 % (1232305)First to succeed.
% 3.52/1.38 % (1232305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1232294"
% 3.52/1.38 % (1232304)Instruction limit reached!
% 3.52/1.38 % (1232304)------------------------------
% 3.52/1.38 % (1232304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (1232304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (1232304)CaDiCaL version: 2.1.3
% 3.52/1.38 % (1232304)Termination reason: Instruction limit
% 3.52/1.38 % (1232304)Termination phase: Saturation
% 3.52/1.38 % (1232304)Time elapsed: 0.074 s
% 3.52/1.38 % (1232304)Peak memory usage: 89 MB
% 3.52/1.38 % (1232304)Instructions burned: 142 (million)
% 3.52/1.38 % (1232313)lrs+10_1_sil=8000:sp=occurrence:random_seed=2598959519:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.52/1.38 % (1232313)Also succeeded, but the first one will report.
% 3.52/1.38 % (1232303)------------------------------
% 3.52/1.38 % (1232303)------------------------------
% 3.52/1.38 % (1232302)------------------------------
% 3.52/1.38 % (1232302)------------------------------
% 3.52/1.38 % SZS status Satisfiable for theBenchmark
% 3.52/1.38 % SZS output start Saturation.
% See solution above
% 3.52/1.38 % SZS output start Definitions and Model Updates.
% 3.52/1.38 % SZS output end Definitions and Model Updates.
% 3.52/1.38 % (1232305)------------------------------
% 3.52/1.38 % (1232305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (1232305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (1232305)CaDiCaL version: 2.1.3
% 3.52/1.38 % (1232305)Termination reason: Satisfiable
% 3.52/1.38 % (1232305)Time elapsed: 0.010 s
% 3.52/1.38 % (1232305)Peak memory usage: 89 MB
% 3.52/1.38 % (1232305)Instructions burned: 13 (million)
% 3.52/1.38 % (1232305)------------------------------
% 3.52/1.38 % (1232305)------------------------------
% 3.52/1.38 % (1232294)Success in time 0.433 s
% 3.52/1.38 % Vampire exiting
%------------------------------------------------------------------------------