%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS003_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 : n012.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 4.49s 1.23s
% Output : Saturation 4.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u33,axiom,
( s(X0,u1r2(X0))
| ~ s2least(X0) ) ).
cnf(u30,axiom,
( ~ s2least(X0)
| c(X0) ) ).
cnf(u32,axiom,
( s(X0,u1r1(X0))
| ~ s2least(X0) ) ).
cnf(u42,axiom,
( equalish(u1r2(X0),X1)
| ~ s1most(X0)
| ~ s2least(X0)
| ~ s(X0,X1) ) ).
cnf(u35,axiom,
( ~ d(X0)
| s1most(X0) ) ).
cnf(u34,axiom,
( ~ s(X2,X1)
| equalish(X1,X0)
| s2least(X2)
| ~ s(X2,X0) ) ).
cnf(u54,axiom,
( s2least(X0)
| s1most(X0) ) ).
cnf(u45,axiom,
( ~ s2least(X0)
| ~ s1most(X0) ) ).
cnf(u37,axiom,
( ~ s(X2,X1)
| ~ s1most(X2)
| equalish(X1,X0)
| ~ s(X2,X0) ) ).
cnf(u56,axiom,
( c(X0)
| s1most(X0) ) ).
cnf(u40,axiom,
( s(X0,u3r2(X0))
| s1most(X0) ) ).
cnf(u48,axiom,
( equalish(u3r1(X0),X1)
| s1most(X0)
| s2least(X0)
| ~ s(X0,X1) ) ).
cnf(u36,axiom,
( ~ s1most(X0)
| d(X0) ) ).
cnf(u29,axiom,
( ~ c(X0)
| s2least(X0) ) ).
cnf(u39,axiom,
( s(X0,u3r1(X0))
| s1most(X0) ) ).
cnf(u41,axiom,
( equalish(u1r1(X0),X1)
| ~ s1most(X0)
| ~ s2least(X0)
| ~ s(X0,X1) ) ).
cnf(u38,axiom,
( ~ equalish(u3r2(X0),u3r1(X0))
| s1most(X0) ) ).
cnf(u31,axiom,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ) ).
cnf(u50,axiom,
( equalish(u3r2(X0),X1)
| s1most(X0)
| s2least(X0)
| ~ s(X0,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS003_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 13:14:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 4.49/1.23 % (2382978)Detected formulas, will run a generic FOF schedule.
% 4.49/1.23 % (2382987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=77347531:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.49/1.23 % (2382984)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=4170157478:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.49/1.23 % (2382983)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=1780112269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.49/1.23 % (2382986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2542696831:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.49/1.23 % (2382989)dis-21_1_sil=8000:lcm=predicate:random_seed=1881773389: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)
% 4.49/1.23 % (2382985)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=203138683:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.49/1.23 % (2382988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1688262230:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.49/1.23 % (2382987)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382987)------------------------------
% 4.49/1.23 % (2382987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382987)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382987)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382987)Time elapsed: 0.0000 s
% 4.49/1.23 % (2382986)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382986)------------------------------
% 4.49/1.23 % (2382986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382987)Peak memory usage: 86 MB
% 4.49/1.23 % (2382986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382986)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382986)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382986)Time elapsed: 0.0000 s
% 4.49/1.23 % (2382986)Peak memory usage: 86 MB
% 4.49/1.23 % (2382988)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382988)------------------------------
% 4.49/1.23 % (2382988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382988)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382988)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382988)Time elapsed: 0.0000 s
% 4.49/1.23 % (2382988)Peak memory usage: 88 MB
% 4.49/1.23 % (2382988)Instructions burned: 1 (million)
% 4.49/1.23 % (2382989)Instruction limit reached!
% 4.49/1.23 % (2382989)------------------------------
% 4.49/1.23 % (2382989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382989)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382989)Termination reason: Instruction limit
% 4.49/1.23 % (2382989)Termination phase: Saturation
% 4.49/1.23 % (2382989)Time elapsed: 0.027 s
% 4.49/1.23 % (2382989)Peak memory usage: 87 MB
% 4.49/1.23 % (2382989)Instructions burned: 133 (million)
% 4.49/1.23 % (2382997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2298264530:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.49/1.23 % (2382997)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382997)------------------------------
% 4.49/1.23 % (2382997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382997)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382997)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382997)Time elapsed: 0.0000 s
% 4.49/1.23 % (2382997)Peak memory usage: 86 MB
% 4.49/1.23 % (2382988)------------------------------
% 4.49/1.23 % (2382988)------------------------------
% 4.49/1.23 % (2382986)------------------------------
% 4.49/1.23 % (2382986)------------------------------
% 4.49/1.23 % (2382987)------------------------------
% 4.49/1.23 % (2382987)------------------------------
% 4.49/1.23 % (2382999)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1449942012:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.49/1.23 % (2383000)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4159010177:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.49/1.23 % (2383001)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1943765738:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.49/1.23 % (2383000)Refutation not found, incomplete strategy
% 4.49/1.23 % (2383000)------------------------------
% 4.49/1.23 % (2383000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2383000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382999)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382999)------------------------------
% 4.49/1.23 % (2382999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2383000)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2383000)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2383000)Time elapsed: 0.0000 s
% 4.49/1.23 % (2383000)Peak memory usage: 86 MB
% 4.49/1.23 % (2382999)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382999)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382999)Time elapsed: 0.0000 s
% 4.49/1.23 % (2382999)Peak memory usage: 86 MB
% 4.49/1.23 % (2383001)Refutation not found, incomplete strategy
% 4.49/1.23 % (2383001)------------------------------
% 4.49/1.23 % (2383001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2383001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2383001)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2383001)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2383001)Time elapsed: 0.0000 s
% 4.49/1.23 % (2383001)Peak memory usage: 87 MB
% 4.49/1.23 % (2382997)------------------------------
% 4.49/1.23 % (2382997)------------------------------
% 4.49/1.23 % (2382985)Refutation not found, incomplete strategy
% 4.49/1.23 % (2382985)------------------------------
% 4.49/1.23 % (2382985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382985)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382985)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2382985)Time elapsed: 0.314 s
% 4.49/1.23 % (2382985)Peak memory usage: 125 MB
% 4.49/1.23 % (2382985)Instructions burned: 825 (million)
% 4.49/1.23 % (2382983)First to succeed.
% 4.49/1.23 % (2382984)Also succeeded, but the first one will report.
% 4.49/1.23 % (2382983)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2382978"
% 4.49/1.23 % (2383005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=214268275:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.49/1.23 % (2383005)Refutation not found, incomplete strategy
% 4.49/1.23 % (2383005)------------------------------
% 4.49/1.23 % (2383005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2383005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2383005)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2383005)Termination reason: Refutation not found, incomplete strategy
% 4.49/1.23 % (2383005)Time elapsed: 0.0000 s
% 4.49/1.23 % (2383005)Peak memory usage: 86 MB
% 4.49/1.23 % (2383001)------------------------------
% 4.49/1.23 % (2383001)------------------------------
% 4.49/1.23 % (2383000)------------------------------
% 4.49/1.23 % (2383000)------------------------------
% 4.49/1.23 % (2382999)------------------------------
% 4.49/1.23 % (2382999)------------------------------
% 4.49/1.23 % (2382985)------------------------------
% 4.49/1.23 % (2382985)------------------------------
% 4.49/1.23 % SZS status Satisfiable for theBenchmark
% 4.49/1.23 % SZS output start Saturation.
% See solution above
% 4.49/1.23 % SZS output start Definitions and Model Updates.
% 4.49/1.23 for all inputs,
% 4.49/1.23 define f(X0) := $false
% 4.49/1.23 for all inputs,
% 4.49/1.23 define e(X0) := $false
% 4.49/1.23 % SZS output end Definitions and Model Updates.
% 4.49/1.23 % (2382983)------------------------------
% 4.49/1.23 % (2382983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.23 % (2382983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.23 % (2382983)CaDiCaL version: 2.1.3
% 4.49/1.23 % (2382983)Termination reason: Satisfiable
% 4.49/1.23 % (2382983)Time elapsed: 0.343 s
% 4.49/1.23 % (2382983)Peak memory usage: 125 MB
% 4.49/1.23 % (2382983)Instructions burned: 901 (million)
% 4.49/1.23 % (2382983)------------------------------
% 4.49/1.23 % (2382983)------------------------------
% 4.49/1.23 % (2382978)Success in time 0.612 s
% 4.49/1.23 % Vampire exiting
%------------------------------------------------------------------------------