%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN456-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:52:27 PM UTC 2026
% Result : Satisfiable 3.66s 1.27s
% Output : Saturation 3.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u187,negated_conjecture,
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ).
cnf(u190,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ).
cnf(u834,negated_conjecture,
ndr1_0 ).
cnf(u203,negated_conjecture,
( c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ).
cnf(u206,negated_conjecture,
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ).
cnf(u223,negated_conjecture,
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ).
cnf(u227,negated_conjecture,
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ).
cnf(u230,negated_conjecture,
( c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ).
cnf(u233,negated_conjecture,
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ).
cnf(u245,negated_conjecture,
( c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ).
cnf(u252,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ).
cnf(u267,negated_conjecture,
hskp4 ).
cnf(u273,negated_conjecture,
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ).
cnf(u277,negated_conjecture,
hskp14 ).
cnf(u281,negated_conjecture,
hskp28 ).
cnf(u462,negated_conjecture,
~ hskp7 ).
cnf(u534,negated_conjecture,
~ hskp15 ).
cnf(u295,negated_conjecture,
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ).
cnf(u475,negated_conjecture,
~ hskp8 ).
cnf(u302,negated_conjecture,
( c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ).
cnf(u306,negated_conjecture,
( c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ).
cnf(u452,negated_conjecture,
~ hskp5 ).
cnf(u420,negated_conjecture,
~ hskp1 ).
cnf(u318,negated_conjecture,
hskp12 ).
cnf(u488,negated_conjecture,
~ hskp9 ).
cnf(u502,negated_conjecture,
~ hskp11 ).
cnf(u330,negated_conjecture,
( c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ).
cnf(u334,negated_conjecture,
hskp0 ).
cnf(u429,negated_conjecture,
~ hskp2 ).
cnf(u556,negated_conjecture,
~ hskp17 ).
cnf(u602,negated_conjecture,
~ hskp23 ).
cnf(u351,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ) ).
cnf(u543,negated_conjecture,
~ hskp16 ).
cnf(u358,negated_conjecture,
hskp6 ).
cnf(u434,negated_conjecture,
~ hskp3 ).
cnf(u584,negated_conjecture,
~ hskp21 ).
cnf(u516,negated_conjecture,
~ hskp13 ).
cnf(u810,negated_conjecture,
~ hskp30 ).
cnf(u797,negated_conjecture,
~ hskp29 ).
cnf(u384,negated_conjecture,
hskp27 ).
cnf(u579,negated_conjecture,
~ hskp20 ).
cnf(u570,negated_conjecture,
~ hskp19 ).
cnf(u493,negated_conjecture,
~ hskp10 ).
cnf(u565,negated_conjecture,
~ hskp18 ).
cnf(u409,negated_conjecture,
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ).
cnf(u414,negated_conjecture,
~ c1_1(a988) ).
cnf(u418,negated_conjecture,
~ c0_1(a988) ).
cnf(u427,negated_conjecture,
~ c1_1(a989) ).
cnf(u432,negated_conjecture,
~ c3_1(a990) ).
cnf(u442,negated_conjecture,
~ c3_1(a992) ).
cnf(u446,negated_conjecture,
~ c1_1(a992) ).
cnf(u450,negated_conjecture,
~ c0_1(a992) ).
cnf(u460,negated_conjecture,
~ c1_1(a995) ).
cnf(u1102,negated_conjecture,
c1_1(a996) ).
cnf(u473,negated_conjecture,
~ c0_1(a996) ).
cnf(u1399,negated_conjecture,
c3_1(a997) ).
cnf(u486,negated_conjecture,
~ c0_1(a997) ).
cnf(u941,negated_conjecture,
c0_1(a1002) ).
cnf(u509,negated_conjecture,
~ c1_1(a1003) ).
cnf(u514,negated_conjecture,
~ c0_1(a1004) ).
cnf(u519,negated_conjecture,
~ c1_1(a1007) ).
cnf(u523,negated_conjecture,
~ c0_1(a1007) ).
cnf(u528,negated_conjecture,
~ c3_1(a1008) ).
cnf(u532,negated_conjecture,
~ c1_1(a1008) ).
cnf(u1010,negated_conjecture,
c3_1(a1015) ).
cnf(u874,negated_conjecture,
c1_1(a1015) ).
cnf(u568,negated_conjecture,
~ c3_1(a1017) ).
cnf(u591,negated_conjecture,
~ c0_1(a1037) ).
cnf(u596,negated_conjecture,
~ c3_1(a1040) ).
cnf(u600,negated_conjecture,
~ c0_1(a1040) ).
cnf(u609,negated_conjecture,
~ hskp24 ).
cnf(u612,negated_conjecture,
~ c3_1(a1051) ).
cnf(u616,negated_conjecture,
~ c0_1(a1051) ).
cnf(u623,negated_conjecture,
~ c1_1(a1058) ).
cnf(u826,negated_conjecture,
hskp26 ).
cnf(u630,negated_conjecture,
~ c1_1(a1059) ).
cnf(u634,negated_conjecture,
c2_1(a988) ).
cnf(u638,negated_conjecture,
c3_1(a989) ).
cnf(u1442,negated_conjecture,
~ c1_1(a990) ).
cnf(u1443,negated_conjecture,
~ c0_1(a990) ).
cnf(u956,negated_conjecture,
~ c1_1(a994) ).
cnf(u662,negated_conjecture,
c0_1(a994) ).
cnf(u666,negated_conjecture,
c3_1(a995) ).
cnf(u670,negated_conjecture,
c0_1(a995) ).
cnf(u678,negated_conjecture,
c1_1(a1000) ).
cnf(u682,negated_conjecture,
c3_1(a1002) ).
cnf(u1220,negated_conjecture,
~ c0_1(a1003) ).
cnf(u690,negated_conjecture,
c3_1(a1004) ).
cnf(u694,negated_conjecture,
c2_1(a1004) ).
cnf(u702,negated_conjecture,
c2_1(a1008) ).
cnf(u710,negated_conjecture,
c0_1(a1016) ).
cnf(u714,negated_conjecture,
c2_1(a1017) ).
cnf(u1234,negated_conjecture,
~ c0_1(a1017) ).
cnf(u722,negated_conjecture,
c1_1(a1021) ).
cnf(u734,negated_conjecture,
c1_1(a1037) ).
cnf(u738,negated_conjecture,
c2_1(a1040) ).
cnf(u742,negated_conjecture,
c3_1(a1045) ).
cnf(u746,negated_conjecture,
c0_1(a1045) ).
cnf(u1347,negated_conjecture,
~ c1_1(a1051) ).
cnf(u754,negated_conjecture,
c3_1(a1058) ).
cnf(u758,negated_conjecture,
c2_1(a1058) ).
cnf(u762,negated_conjecture,
c2_1(a1059) ).
cnf(u766,negated_conjecture,
c0_1(a1059) ).
cnf(u770,negated_conjecture,
c3_1(a1009) ).
cnf(u775,negated_conjecture,
c2_1(a1009) ).
cnf(u779,negated_conjecture,
c0_1(a1009) ).
cnf(u783,negated_conjecture,
c3_1(a1019) ).
cnf(u788,negated_conjecture,
c2_1(a1019) ).
cnf(u792,negated_conjecture,
c1_1(a1019) ).
cnf(u877,negated_conjecture,
~ c0_1(a1015) ).
cnf(u896,negated_conjecture,
c0_1(a989) ).
cnf(u1007,negated_conjecture,
c3_1(a996) ).
cnf(u925,negated_conjecture,
~ c0_1(a1000) ).
cnf(u940,negated_conjecture,
~ c1_1(a1002) ).
cnf(u975,negated_conjecture,
~ c1_1(a1016) ).
cnf(u1053,negated_conjecture,
c1_1(a1004) ).
cnf(u1058,negated_conjecture,
c0_1(a1058) ).
cnf(u1071,negated_conjecture,
~ c1_1(a1009) ).
cnf(u1082,negated_conjecture,
~ c0_1(a1019) ).
cnf(u1184,negated_conjecture,
~ c0_1(a1008) ).
cnf(u1120,negated_conjecture,
~ c3_1(a988) ).
cnf(u1522,negated_conjecture,
c3_1(a1059) ).
cnf(u1233,negated_conjecture,
~ c1_1(a1017) ).
cnf(u1247,negated_conjecture,
~ c1_1(a1045) ).
cnf(u1330,negated_conjecture,
~ c0_1(a1021) ).
cnf(u1390,negated_conjecture,
c1_1(a997) ).
cnf(u1450,negated_conjecture,
~ c1_1(a1040) ).
cnf(u955,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN456-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:05:45 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.66/1.26 % (3188885)Input is clausal, will run a generic CNF schedule.
% 3.66/1.26 % (3188892)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2141313492:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.26 % (3188890)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=3430918169:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.26 % (3188891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3352563108:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.26 % (3188895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=357879508:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.26 % (3188893)lrs+10_1_sil=8000:sp=occurrence:random_seed=3246510820:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.26 % (3188894)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2606174814:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.27 % (3188896)dis-21_1_sil=8000:lcm=predicate:random_seed=1655657393: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)
% 3.66/1.27 % (3188896)First to succeed.
% 3.66/1.27 % (3188896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3188885"
% 3.66/1.27 % (3188894)Refutation not found, incomplete strategy
% 3.66/1.27 % (3188894)------------------------------
% 3.66/1.27 % (3188894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.27 % (3188894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.27 % (3188894)CaDiCaL version: 2.1.3
% 3.66/1.27 % (3188894)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.27 % (3188894)Time elapsed: 0.054 s
% 3.66/1.27 % (3188894)Peak memory usage: 89 MB
% 3.66/1.27 % (3188894)Instructions burned: 79 (million)
% 3.66/1.27 % (3188895)Refutation not found, incomplete strategy
% 3.66/1.27 % (3188895)------------------------------
% 3.66/1.27 % (3188895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.27 % (3188895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.27 % (3188895)CaDiCaL version: 2.1.3
% 3.66/1.27 % (3188895)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.27 % (3188895)Time elapsed: 0.056 s
% 3.66/1.27 % (3188895)Peak memory usage: 89 MB
% 3.66/1.27 % (3188895)Instructions burned: 84 (million)
% 3.66/1.27 % (3188893)Also succeeded, but the first one will report.
% 3.66/1.27 % SZS status Satisfiable for theBenchmark
% 3.66/1.27 % SZS output start Saturation.
% See solution above
% 3.66/1.27 % SZS output start Definitions and Model Updates.
% 3.66/1.27 % SZS output end Definitions and Model Updates.
% 3.66/1.27 % (3188896)------------------------------
% 3.66/1.27 % (3188896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.27 % (3188896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.27 % (3188896)CaDiCaL version: 2.1.3
% 3.66/1.27 % (3188896)Termination reason: Satisfiable
% 3.66/1.27 % (3188896)Time elapsed: 0.013 s
% 3.66/1.27 % (3188896)Peak memory usage: 89 MB
% 3.66/1.27 % (3188896)Instructions burned: 19 (million)
% 3.66/1.27 % (3188896)------------------------------
% 3.66/1.27 % (3188896)------------------------------
% 3.66/1.27 % (3188885)Success in time 0.436 s
% 3.66/1.27 % Vampire exiting
%------------------------------------------------------------------------------