%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS006-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:41:26 AM UTC 2026
% Result : Satisfiable 3.81s 1.51s
% Output : Saturation 3.81s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,negated_conjecture,
r(exist,u4r1(exist)) ).
cnf(u40,axiom,
( equalish(X0,u3r1(X1))
| ~ s(X1,X0)
| s2least(X1)
| s1most(X1) ) ).
cnf(clause_13,axiom,
( ~ s1most(X0)
| d(X0) ) ).
cnf(u42,axiom,
( equalish(X1,u1r1(X0))
| ~ s(X0,X1)
| ~ s1most(X0)
| ~ s2least(X0) ) ).
cnf(clause_5,negated_conjecture,
c(u4r1(exist)) ).
cnf(u52,negated_conjecture,
( equalish(X0,u4r1(exist))
| ~ r(exist,X0) ) ).
cnf(u34,axiom,
( s2least(u4r1(X0))
| ~ e(X0) ) ).
cnf(clause_7,axiom,
( ~ s2least(X0)
| c(X0) ) ).
cnf(u67,axiom,
( ~ s2least(u4r2(X0))
| ~ e(X0) ) ).
cnf(clause_24,axiom,
( ~ r(X2,X1)
| ~ r1most(X2)
| ~ r(X2,X0)
| equalish(X0,X1) ) ).
cnf(clause_26,axiom,
( r(X0,u5r1(X0))
| r1most(X0) ) ).
cnf(clause_18,axiom,
( d(u4r2(X0))
| ~ e(X0) ) ).
cnf(u28,negated_conjecture,
s2least(u4r1(exist)) ).
cnf(u30,negated_conjecture,
s1most(u4r2(exist)) ).
cnf(clause_22,axiom,
( ~ e(X0)
| r1most(X0) ) ).
cnf(clause_16,axiom,
( s(X0,u3r1(X0))
| s1most(X0) ) ).
cnf(clause_8,axiom,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ) ).
cnf(clause_10,axiom,
( s(X0,u1r2(X0))
| ~ s2least(X0) ) ).
cnf(u51,axiom,
( equalish(X1,u4r1(X0))
| ~ r(X0,X1)
| ~ e(X0) ) ).
cnf(clause_20,axiom,
( c(u4r1(X0))
| ~ e(X0) ) ).
cnf(clause_2,negated_conjecture,
r1most(exist) ).
cnf(u61,axiom,
( s2least(X0)
| d(X0) ) ).
cnf(clause_12,axiom,
( ~ d(X0)
| s1most(X0) ) ).
cnf(clause_14,axiom,
( ~ s(X2,X1)
| ~ s1most(X2)
| ~ s(X2,X0)
| equalish(X0,X1) ) ).
cnf(clause_6,axiom,
( ~ c(X0)
| s2least(X0) ) ).
cnf(u41,axiom,
( equalish(X1,u1r2(X0))
| ~ s(X0,X1)
| ~ s1most(X0)
| ~ s2least(X0) ) ).
cnf(clause_4,negated_conjecture,
d(u4r2(exist)) ).
cnf(u66,negated_conjecture,
~ s2least(u4r2(exist)) ).
cnf(u39,axiom,
( equalish(X0,u3r2(X1))
| ~ s(X1,X0)
| s2least(X1)
| s1most(X1) ) ).
cnf(u33,axiom,
( s1most(u4r2(X0))
| ~ e(X0) ) ).
cnf(u65,axiom,
( ~ s1most(X0)
| ~ s2least(X0) ) ).
cnf(clause_25,axiom,
( ~ equalish(u5r2(X0),u5r1(X0))
| r1most(X0) ) ).
cnf(clause_27,axiom,
( r(X0,u5r2(X0))
| r1most(X0) ) ).
cnf(clause_17,axiom,
( s(X0,u3r2(X0))
| s1most(X0) ) ).
cnf(clause_19,axiom,
( r(X0,u4r2(X0))
| ~ e(X0) ) ).
cnf(clause_21,axiom,
( r(X0,u4r1(X0))
| ~ e(X0) ) ).
cnf(u50,axiom,
( equalish(X1,u4r2(X0))
| ~ r(X0,X1)
| ~ e(X0) ) ).
cnf(clause_23,axiom,
( ~ r(X0,X2)
| ~ r1most(X0)
| ~ r(X0,X1)
| ~ c(X1)
| e(X0)
| ~ d(X2) ) ).
cnf(u60,axiom,
( s1most(X0)
| s2least(X0) ) ).
cnf(clause_15,axiom,
( ~ equalish(u3r2(X0),u3r1(X0))
| s1most(X0) ) ).
cnf(u62,axiom,
( c(X0)
| d(X0) ) ).
cnf(clause_9,axiom,
( s(X0,u1r1(X0))
| ~ s2least(X0) ) ).
cnf(clause_11,axiom,
( ~ s(X0,X2)
| equalish(X1,X2)
| ~ s(X0,X1)
| s2least(X0) ) ).
cnf(clause_1,negated_conjecture,
e(exist) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS006-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:14:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.81/1.51 % (1409880)Input is clausal, will run a generic CNF schedule.
% 3.81/1.51 % (1409991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2041434166:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.81/1.51 % (1409991)Refutation not found, incomplete strategy
% 3.81/1.51 % (1409991)------------------------------
% 3.81/1.51 % (1409991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1409991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1409991)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1409991)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.51 % (1409991)Time elapsed: 0.002 s
% 3.81/1.51 % (1409991)Peak memory usage: 88 MB
% 3.81/1.51 % (1409991)Instructions burned: 5 (million)
% 3.81/1.51 % (1409988)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2515183630:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.81/1.51 % (1409987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2339443810:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.81/1.51 % (1409989)lrs+10_1_sil=8000:sp=occurrence:random_seed=2942638138:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.81/1.51 % (1409986)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=1957995034:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.81/1.51 % (1409990)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2450862166:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.81/1.51 % (1409990)Refutation not found, incomplete strategy
% 3.81/1.51 % (1409990)------------------------------
% 3.81/1.51 % (1409990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1409990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1409990)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1409990)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.51 % (1409990)Time elapsed: 0.002 s
% 3.81/1.51 % (1409990)Peak memory usage: 87 MB
% 3.81/1.51 % (1409989)First to succeed.
% 3.81/1.51 % (1409989)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1409880"
% 3.81/1.51 % (1409992)dis-21_1_sil=8000:lcm=predicate:random_seed=591484717: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)
% 3.81/1.51 % (1409992)Instruction limit reached!
% 3.81/1.51 % (1409992)------------------------------
% 3.81/1.51 % (1409992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1409992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1409992)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1409992)Termination reason: Instruction limit
% 3.81/1.51 % (1409992)Termination phase: Saturation
% 3.81/1.51 % (1409992)Time elapsed: 0.083 s
% 3.81/1.51 % (1409992)Peak memory usage: 88 MB
% 3.81/1.51 % (1409992)Instructions burned: 117 (million)
% 3.81/1.51 % (1409991)------------------------------
% 3.81/1.51 % (1409991)------------------------------
% 3.81/1.51 % (1410029)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2157518601:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.81/1.51 % (1410029)Refutation not found, incomplete strategy
% 3.81/1.51 % (1410029)------------------------------
% 3.81/1.51 % (1410029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1410029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1410029)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1410029)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.51 % (1410029)Time elapsed: 0.001 s
% 3.81/1.51 % (1410029)Peak memory usage: 87 MB
% 3.81/1.51 % (1410029)Instructions burned: 2 (million)
% 3.81/1.51 % (1410027)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=670090569:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.81/1.51 % (1410027)Refutation not found, incomplete strategy
% 3.81/1.51 % (1410027)------------------------------
% 3.81/1.51 % (1410027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1410027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1410027)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1410027)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.51 % (1410027)Time elapsed: 0.001 s
% 3.81/1.51 % (1410027)Peak memory usage: 87 MB
% 3.81/1.51 % (1409990)------------------------------
% 3.81/1.51 % (1409990)------------------------------
% 3.81/1.51 % SZS status Satisfiable for theBenchmark
% 3.81/1.51 % SZS output start Saturation.
% See solution above
% 3.81/1.51 % SZS output start Definitions and Model Updates.
% 3.81/1.51 % SZS output end Definitions and Model Updates.
% 3.81/1.51 % (1409989)------------------------------
% 3.81/1.51 % (1409989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.51 % (1409989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.51 % (1409989)CaDiCaL version: 2.1.3
% 3.81/1.51 % (1409989)Termination reason: Satisfiable
% 3.81/1.51 % (1409989)Time elapsed: 0.003 s
% 3.81/1.51 % (1409989)Peak memory usage: 88 MB
% 3.81/1.51 % (1409989)Instructions burned: 2 (million)
% 3.81/1.51 % (1409989)------------------------------
% 3.81/1.51 % (1409989)------------------------------
% 3.81/1.51 % (1409880)Success in time 0.444 s
% 3.81/1.51 % Vampire exiting
%------------------------------------------------------------------------------