%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN446+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:51:43 PM UTC 2026
% Result : CounterSatisfiable 3.64s 1.34s
% Output : Saturation 3.64s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u224,negated_conjecture,
hskp4 ).
cnf(u542,negated_conjecture,
~ hskp25 ).
cnf(u230,negated_conjecture,
hskp0 ).
cnf(u234,negated_conjecture,
hskp23 ).
cnf(u612,negated_conjecture,
~ hskp20 ).
cnf(u808,negated_conjecture,
~ hskp6 ).
cnf(u500,negated_conjecture,
~ hskp28 ).
cnf(u251,negated_conjecture,
hskp19 ).
cnf(u654,negated_conjecture,
~ hskp17 ).
cnf(u258,negated_conjecture,
hskp8 ).
cnf(u864,negated_conjecture,
~ hskp2 ).
cnf(u265,negated_conjecture,
hskp3 ).
cnf(u268,negated_conjecture,
hskp5 ).
cnf(u486,negated_conjecture,
~ hskp29 ).
cnf(u584,negated_conjecture,
~ hskp22 ).
cnf(u279,negated_conjecture,
hskp10 ).
cnf(u481,negated_conjecture,
ndr1_0 ).
cnf(u293,negated_conjecture,
hskp21 ).
cnf(u696,negated_conjecture,
~ hskp14 ).
cnf(u304,negated_conjecture,
hskp30 ).
cnf(u307,negated_conjecture,
( ~ c1_1(X87)
| ~ c2_1(X87)
| c3_1(X87) ) ).
cnf(u514,negated_conjecture,
~ hskp27 ).
cnf(u315,negated_conjecture,
( c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85) ) ).
cnf(u556,negated_conjecture,
~ hskp24 ).
cnf(u710,negated_conjecture,
~ hskp13 ).
cnf(u327,negated_conjecture,
hskp1 ).
cnf(u335,negated_conjecture,
( ~ c1_1(X80)
| ~ c3_1(X80)
| ~ c0_1(X80) ) ).
cnf(u357,negated_conjecture,
( c1_1(X71)
| ~ c2_1(X71)
| c3_1(X71) ) ).
cnf(u361,negated_conjecture,
hskp15 ).
cnf(u366,negated_conjecture,
( c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66) ) ).
cnf(u380,negated_conjecture,
hskp11 ).
cnf(u668,negated_conjecture,
~ hskp16 ).
cnf(u404,negated_conjecture,
( ~ c1_1(X48)
| ~ c2_1(X48)
| ~ c0_1(X48) ) ).
cnf(u408,negated_conjecture,
hskp12 ).
cnf(u418,negated_conjecture,
( c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44) ) ).
cnf(u425,negated_conjecture,
( ~ c1_1(X35)
| c0_1(X35)
| c3_1(X35) ) ).
cnf(u437,negated_conjecture,
hskp9 ).
cnf(u451,negated_conjecture,
( c1_1(X18)
| ~ c3_1(X18)
| c0_1(X18) ) ).
cnf(u459,negated_conjecture,
( c1_1(X5)
| ~ c2_1(X5)
| c0_1(X5) ) ).
cnf(u470,negated_conjecture,
c3_1(a397) ).
cnf(u475,negated_conjecture,
c2_1(a397) ).
cnf(u479,negated_conjecture,
c0_1(a397) ).
cnf(u909,negated_conjecture,
~ c3_1(a390) ).
cnf(u490,negated_conjecture,
c1_1(a390) ).
cnf(u494,negated_conjecture,
c0_1(a390) ).
cnf(u499,negated_conjecture,
c3_1(a386) ).
cnf(u504,negated_conjecture,
c2_1(a386) ).
cnf(u513,negated_conjecture,
c2_1(a374) ).
cnf(u522,negated_conjecture,
c0_1(a374) ).
cnf(u527,negated_conjecture,
~ c3_1(a427) ).
cnf(u532,negated_conjecture,
~ c1_1(a427) ).
cnf(u536,negated_conjecture,
~ c0_1(a427) ).
cnf(u546,negated_conjecture,
~ c0_1(a425) ).
cnf(u550,negated_conjecture,
c3_1(a425) ).
cnf(u560,negated_conjecture,
~ c0_1(a424) ).
cnf(u1659,negated_conjecture,
~ c2_1(a424) ).
cnf(u569,negated_conjecture,
~ c3_1(a420) ).
cnf(u574,negated_conjecture,
~ c2_1(a420) ).
cnf(u578,negated_conjecture,
~ c1_1(a420) ).
cnf(u588,negated_conjecture,
~ c0_1(a418) ).
cnf(u592,negated_conjecture,
c2_1(a418) ).
cnf(u597,negated_conjecture,
~ c0_1(a411) ).
cnf(u602,negated_conjecture,
c3_1(a411) ).
cnf(u606,negated_conjecture,
c2_1(a411) ).
cnf(u611,negated_conjecture,
~ c3_1(a409) ).
cnf(u1082,negated_conjecture,
~ c2_1(a409) ).
cnf(u625,negated_conjecture,
~ c2_1(a407) ).
cnf(u630,negated_conjecture,
c3_1(a407) ).
cnf(u634,negated_conjecture,
c0_1(a407) ).
cnf(u639,negated_conjecture,
~ c2_1(a404) ).
cnf(u644,negated_conjecture,
c3_1(a404) ).
cnf(u648,negated_conjecture,
c1_1(a404) ).
cnf(u653,negated_conjecture,
~ c3_1(a401) ).
cnf(u924,negated_conjecture,
~ c2_1(a401) ).
cnf(u667,negated_conjecture,
~ c3_1(a400) ).
cnf(u1060,negated_conjecture,
~ c2_1(a400) ).
cnf(u676,negated_conjecture,
c0_1(a400) ).
cnf(u681,negated_conjecture,
~ c3_1(a399) ).
cnf(u686,negated_conjecture,
~ c2_1(a399) ).
cnf(u690,negated_conjecture,
~ c0_1(a399) ).
cnf(u695,negated_conjecture,
~ c3_1(a398) ).
cnf(u704,negated_conjecture,
c0_1(a398) ).
cnf(u709,negated_conjecture,
~ c3_1(a396) ).
cnf(u714,negated_conjecture,
~ c0_1(a396) ).
cnf(u723,negated_conjecture,
~ c2_1(a395) ).
cnf(u728,negated_conjecture,
~ c1_1(a395) ).
cnf(u732,negated_conjecture,
c0_1(a395) ).
cnf(u737,negated_conjecture,
~ c2_1(a394) ).
cnf(u742,negated_conjecture,
~ c1_1(a394) ).
cnf(u746,negated_conjecture,
c3_1(a394) ).
cnf(u751,negated_conjecture,
~ c2_1(a392) ).
cnf(u756,negated_conjecture,
c1_1(a392) ).
cnf(u760,negated_conjecture,
c0_1(a392) ).
cnf(u765,negated_conjecture,
~ c1_1(a387) ).
cnf(u770,negated_conjecture,
c3_1(a387) ).
cnf(u774,negated_conjecture,
c2_1(a387) ).
cnf(u779,negated_conjecture,
~ c1_1(a385) ).
cnf(u784,negated_conjecture,
c2_1(a385) ).
cnf(u788,negated_conjecture,
c0_1(a385) ).
cnf(u793,negated_conjecture,
~ c2_1(a384) ).
cnf(u798,negated_conjecture,
~ c0_1(a384) ).
cnf(u802,negated_conjecture,
c3_1(a384) ).
cnf(u807,negated_conjecture,
~ c0_1(a381) ).
cnf(u812,negated_conjecture,
c2_1(a381) ).
cnf(u821,negated_conjecture,
~ c3_1(a380) ).
cnf(u826,negated_conjecture,
c1_1(a380) ).
cnf(u830,negated_conjecture,
c0_1(a380) ).
cnf(u835,negated_conjecture,
~ c2_1(a379) ).
cnf(u840,negated_conjecture,
~ c1_1(a379) ).
cnf(u844,negated_conjecture,
~ c0_1(a379) ).
cnf(u849,negated_conjecture,
~ c0_1(a378) ).
cnf(u854,negated_conjecture,
c3_1(a378) ).
cnf(u858,negated_conjecture,
c1_1(a378) ).
cnf(u863,negated_conjecture,
~ c3_1(a377) ).
cnf(u868,negated_conjecture,
~ c2_1(a377) ).
cnf(u877,negated_conjecture,
~ c3_1(a376) ).
cnf(u882,negated_conjecture,
~ c2_1(a376) ).
cnf(u886,negated_conjecture,
c0_1(a376) ).
cnf(u891,negated_conjecture,
~ c2_1(a375) ).
cnf(u896,negated_conjecture,
~ c0_1(a375) ).
cnf(u900,negated_conjecture,
c1_1(a375) ).
cnf(u908,negated_conjecture,
~ c2_1(a390) ).
cnf(u921,negated_conjecture,
~ c2_1(a380) ).
cnf(u955,negated_conjecture,
c3_1(a374) ).
cnf(u1147,negated_conjecture,
c0_1(a401) ).
cnf(u1354,negated_conjecture,
~ c3_1(a392) ).
cnf(u998,negated_conjecture,
~ c2_1(a427) ).
cnf(u1007,negated_conjecture,
~ c0_1(a420) ).
cnf(u1016,negated_conjecture,
c2_1(a425) ).
cnf(u1037,negated_conjecture,
c3_1(a385) ).
cnf(u1068,negated_conjecture,
~ c2_1(a398) ).
cnf(u1486,negated_conjecture,
c3_1(a381) ).
cnf(u1403,negated_conjecture,
c0_1(a394) ).
cnf(u1491,negated_conjecture,
c3_1(a375) ).
cnf(u1187,negated_conjecture,
~ c0_1(a404) ).
cnf(u1223,negated_conjecture,
~ c2_1(a396) ).
cnf(u1311,negated_conjecture,
~ c0_1(a386) ).
cnf(u1328,negated_conjecture,
c0_1(a377) ).
cnf(u1678,negated_conjecture,
c3_1(a395) ).
cnf(u1396,negated_conjecture,
~ c3_1(a379) ).
cnf(u1850,negated_conjecture,
~ c3_1(a424) ).
cnf(u2215,negated_conjecture,
c0_1(a387) ).
cnf(u2231,negated_conjecture,
( c3_1(X0)
| ~ c2_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN446+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:03:57 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 3.64/1.34 % (494005)Detected formulas, will run a generic FOF schedule.
% 3.64/1.34 % (494022)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=736253829:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.64/1.34 % (494022)Refutation not found, incomplete strategy
% 3.64/1.34 % (494022)------------------------------
% 3.64/1.34 % (494022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.34 % (494022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.34 % (494022)CaDiCaL version: 2.1.3
% 3.64/1.34 % (494022)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.34 % (494022)Time elapsed: 0.027 s
% 3.64/1.34 % (494022)Peak memory usage: 90 MB
% 3.64/1.34 % (494022)Instructions burned: 75 (million)
% 3.64/1.34 % (494023)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=272592320:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.64/1.34 % (494020)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=924036222:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.64/1.34 % (494021)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=451226727:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.64/1.34 % (494025)dis-21_1_sil=8000:lcm=predicate:random_seed=1348397433: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)
% 3.64/1.34 % (494019)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=2493140886:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.64/1.34 % (494024)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=832604037:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.64/1.34 % (494025)First to succeed.
% 3.64/1.34 % (494025)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-494005"
% 3.64/1.34 % (494024)Refutation not found, incomplete strategy
% 3.64/1.34 % (494024)------------------------------
% 3.64/1.34 % (494024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.34 % (494024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.34 % (494024)CaDiCaL version: 2.1.3
% 3.64/1.34 % (494024)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.34 % (494024)Time elapsed: 0.038 s
% 3.64/1.34 % (494024)Peak memory usage: 90 MB
% 3.64/1.34 % (494024)Instructions burned: 58 (million)
% 3.64/1.34 % (494023)Instruction limit reached!
% 3.64/1.34 % (494023)------------------------------
% 3.64/1.34 % (494023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.34 % (494023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.34 % (494023)CaDiCaL version: 2.1.3
% 3.64/1.34 % (494023)Termination reason: Instruction limit
% 3.64/1.34 % (494023)Termination phase: Saturation
% 3.64/1.34 % (494023)Time elapsed: 0.058 s
% 3.64/1.34 % (494023)Peak memory usage: 88 MB
% 3.64/1.34 % (494023)Instructions burned: 121 (million)
% 3.64/1.34 % (494022)------------------------------
% 3.64/1.34 % (494022)------------------------------
% 3.64/1.34 % (494034)lrs+10_1_sil=8000:sp=occurrence:random_seed=74043635:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.64/1.34 % (494034)Also succeeded, but the first one will report.
% 3.64/1.34 % (494035)lrs+10_1_sil=32000:urr=on:br=off:random_seed=12688790:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.64/1.34 % (494035)Refutation not found, incomplete strategy
% 3.64/1.34 % (494035)------------------------------
% 3.64/1.34 % (494035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.34 % (494035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.34 % (494035)CaDiCaL version: 2.1.3
% 3.64/1.34 % (494035)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.34 % (494035)Time elapsed: 0.027 s
% 3.64/1.34 % (494035)Peak memory usage: 90 MB
% 3.64/1.34 % (494035)Instructions burned: 75 (million)
% 3.64/1.34 % SZS status CounterSatisfiable for theBenchmark
% 3.64/1.34 % SZS output start Saturation.
% See solution above
% 3.64/1.34 % SZS output start Definitions and Model Updates.
% 3.64/1.34 % SZS output end Definitions and Model Updates.
% 3.64/1.34 % (494025)------------------------------
% 3.64/1.34 % (494025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.34 % (494025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.34 % (494025)CaDiCaL version: 2.1.3
% 3.64/1.34 % (494025)Termination reason: Satisfiable
% 3.64/1.34 % (494025)Time elapsed: 0.025 s
% 3.64/1.34 % (494025)Peak memory usage: 89 MB
% 3.64/1.34 % (494025)Instructions burned: 38 (million)
% 3.64/1.34 % (494025)------------------------------
% 3.64/1.34 % (494025)------------------------------
% 3.64/1.34 % (494005)Success in time 0.409 s
% 3.64/1.34 % Vampire exiting
%------------------------------------------------------------------------------