%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS037+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:41:30 AM UTC 2026
% Result : Satisfiable 6.95s 1.88s
% Output : Saturation 6.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u132,axiom,
( ~ rr(sK2(i2003_11_14_17_15_51999),X0)
| cp1(X0) ) ).
cnf(u144,axiom,
~ cSatisfiable(sK2(i2003_11_14_17_15_51999)) ).
cnf(u162,axiom,
~ cSatisfiable(sK3(i2003_11_14_17_15_51999)) ).
cnf(u85,axiom,
( rr(sK2(X0),sK3(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u80,axiom,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ) ).
cnf(u171,axiom,
( ~ cp1(sK2(X0))
| ~ rr(sK3(X0),X1)
| rr(sK0(X1),sK1(X1))
| ~ cp1(X1)
| cSatisfiable(sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u175,axiom,
( ~ rr(sK3(i2003_11_14_17_15_51999),X0)
| rr(sK0(X0),sK1(X0))
| ~ cp1(X0) ) ).
cnf(u119,axiom,
( ~ rr(X0,i2003_11_14_17_15_51999)
| rr(X0,sK3(i2003_11_14_17_15_51999)) ) ).
cnf(u95,axiom,
( rinvR(X0,X1)
| ~ rr(X1,X0) ) ).
cnf(u90,axiom,
( ~ rr(X0,X1)
| cSatisfiable(X0)
| ~ rr(X1,X2)
| cp1(sK0(X2))
| ~ cp1(X2)
| ~ cp1(X0) ) ).
cnf(u114,axiom,
( ~ cSatisfiable(X0)
| ~ rr(X1,sK2(X0))
| rr(X1,sK3(X0)) ) ).
cnf(u121,axiom,
( ~ rinvR(sK3(i2003_11_14_17_15_51999),X1)
| ~ rr(X1,X0)
| cp1(X0)
| ~ cp1(X1) ) ).
cnf(u97,axiom,
cSatisfiable(i2003_11_14_17_15_51999) ).
cnf(u83,axiom,
( cp1(sK3(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u94,axiom,
( ~ rinvR(X0,X1)
| rr(X1,X0) ) ).
cnf(u158,axiom,
( ~ rr(sK3(i2003_11_14_17_15_51999),X0)
| rinvR(X0,sK0(X0))
| ~ cp1(X0) ) ).
cnf(u118,axiom,
rr(i2003_11_14_17_15_51999,sK3(i2003_11_14_17_15_51999)) ).
cnf(u125,axiom,
( ~ rr(i2003_11_14_17_15_51999,X0)
| cp1(X0) ) ).
cnf(u96,axiom,
( ~ rr(X1,X2)
| ~ rr(X0,X1)
| rr(X0,X2) ) ).
cnf(u87,axiom,
( ~ rr(X0,X1)
| cSatisfiable(X0)
| ~ rr(X1,X2)
| rinvR(X2,sK0(X2))
| ~ cp1(X2)
| ~ cp1(X0) ) ).
cnf(u120,axiom,
( ~ rr(X0,i2003_11_14_17_15_51999)
| rr(X0,sK2(i2003_11_14_17_15_51999)) ) ).
cnf(u82,axiom,
( ~ cSatisfiable(X0)
| cp1(X0) ) ).
cnf(u89,axiom,
( ~ cp1(sK1(X2))
| ~ rr(X0,X1)
| ~ rr(X1,X2)
| cSatisfiable(X0)
| ~ cp1(X2)
| ~ cp1(X0) ) ).
cnf(u81,axiom,
( xsd_string(X0)
| xsd_integer(X0) ) ).
cnf(u113,axiom,
( ~ cSatisfiable(X0)
| ~ rr(X1,X0)
| rr(X1,sK2(X0)) ) ).
cnf(u179,axiom,
( ~ rr(sK3(i2003_11_14_17_15_51999),X0)
| cp1(sK0(X0))
| ~ cp1(X0) ) ).
cnf(u151,axiom,
( ~ cp1(sK2(X0))
| ~ rr(sK3(X0),X1)
| cp1(sK0(X1))
| ~ cp1(X1)
| cSatisfiable(sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u139,axiom,
cp1(sK2(i2003_11_14_17_15_51999)) ).
cnf(u86,axiom,
( rr(X0,sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u93,axiom,
( ~ rf(X1,X0)
| rinvF(X0,X1) ) ).
cnf(u112,axiom,
cp1(i2003_11_14_17_15_51999) ).
cnf(u88,axiom,
( ~ rr(X0,X1)
| cSatisfiable(X0)
| ~ rr(X1,X2)
| rr(sK0(X2),sK1(X2))
| ~ cp1(X2)
| ~ cp1(X0) ) ).
cnf(u154,axiom,
( ~ cp1(sK2(X0))
| ~ rr(sK3(X0),X1)
| rinvR(X1,sK0(X1))
| ~ cp1(X1)
| cSatisfiable(sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u79,axiom,
cowlThing(X0) ).
cnf(u84,axiom,
( ~ cSatisfiable(X0)
| cp1(X8)
| ~ rr(X7,X8)
| ~ rinvR(sK3(X0),X7)
| ~ cp1(X7) ) ).
cnf(u122,axiom,
( ~ rr(X0,sK3(i2003_11_14_17_15_51999))
| cp1(X1)
| ~ cp1(X0)
| ~ rr(X0,X1) ) ).
cnf(u116,axiom,
( ~ rr(X0,sK2(i2003_11_14_17_15_51999))
| rr(X0,sK3(i2003_11_14_17_15_51999)) ) ).
cnf(u92,axiom,
( ~ rinvF(X0,X1)
| rf(X1,X0) ) ).
cnf(u91,axiom,
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2
| ~ cowlThing(X0) ) ).
cnf(u134,axiom,
cp1(sK3(i2003_11_14_17_15_51999)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS037+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:19:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.95/1.88 % (3525963)Detected formulas, will run a generic FOF schedule.
% 6.95/1.88 % (3525973)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=644154501:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.95/1.88 % (3525973)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525973)------------------------------
% 6.95/1.88 % (3525973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525973)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525973)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525973)Time elapsed: 0.001 s
% 6.95/1.88 % (3525973)Peak memory usage: 88 MB
% 6.95/1.88 % (3525973)Instructions burned: 2 (million)
% 6.95/1.88 % (3525969)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=3681996845:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.95/1.88 % (3525971)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=413571250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.95/1.88 % (3525968)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=1485549568:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.95/1.88 % (3525970)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=2324059701:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.95/1.88 % (3525972)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=837063428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.95/1.88 % (3525972)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525972)------------------------------
% 6.95/1.88 % (3525972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525971)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525971)------------------------------
% 6.95/1.88 % (3525971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525972)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525972)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525972)Time elapsed: 0.0000 s
% 6.95/1.88 % (3525972)Peak memory usage: 86 MB
% 6.95/1.88 % (3525971)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525971)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525971)Time elapsed: 0.0000 s
% 6.95/1.88 % (3525971)Peak memory usage: 86 MB
% 6.95/1.88 % (3525974)dis-21_1_sil=8000:lcm=predicate:random_seed=765847496: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)
% 6.95/1.88 % (3525974)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525974)------------------------------
% 6.95/1.88 % (3525974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525974)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525974)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525974)Time elapsed: 0.003 s
% 6.95/1.88 % (3525974)Peak memory usage: 88 MB
% 6.95/1.88 % (3525974)Instructions burned: 3 (million)
% 6.95/1.88 % (3525973)------------------------------
% 6.95/1.88 % (3525973)------------------------------
% 6.95/1.88 % (3525982)lrs+10_1_sil=8000:sp=occurrence:random_seed=3941334869:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.95/1.88 % (3525982)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525982)------------------------------
% 6.95/1.88 % (3525982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525982)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525982)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525982)Time elapsed: 0.0000 s
% 6.95/1.88 % (3525982)Peak memory usage: 86 MB
% 6.95/1.88 % (3525972)------------------------------
% 6.95/1.88 % (3525972)------------------------------
% 6.95/1.88 % (3525971)------------------------------
% 6.95/1.88 % (3525971)------------------------------
% 6.95/1.88 % (3525974)------------------------------
% 6.95/1.88 % (3525974)------------------------------
% 6.95/1.88 % (3525982)------------------------------
% 6.95/1.88 % (3525982)------------------------------
% 6.95/1.88 % (3525985)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4109887821:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.95/1.88 % (3525984)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2667695353:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.95/1.88 % (3525985)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525985)------------------------------
% 6.95/1.88 % (3525985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525984)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525984)------------------------------
% 6.95/1.88 % (3525984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525985)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525985)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525985)Time elapsed: 0.001 s
% 6.95/1.88 % (3525984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525985)Peak memory usage: 86 MB
% 6.95/1.88 % (3525984)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525984)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525984)Time elapsed: 0.001 s
% 6.95/1.88 % (3525984)Peak memory usage: 87 MB
% 6.95/1.88 % (3525986)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=1305279082:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.95/1.88 % (3525986)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525986)------------------------------
% 6.95/1.88 % (3525986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525986)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525986)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525986)Time elapsed: 0.003 s
% 6.95/1.88 % (3525986)Peak memory usage: 88 MB
% 6.95/1.88 % (3525986)Instructions burned: 3 (million)
% 6.95/1.88 % (3525987)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3904989572:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.95/1.88 % (3525987)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525987)------------------------------
% 6.95/1.88 % (3525987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525987)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525987)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525987)Time elapsed: 0.001 s
% 6.95/1.88 % (3525987)Peak memory usage: 86 MB
% 6.95/1.88 % (3525970)Refutation not found, incomplete strategy
% 6.95/1.88 % (3525970)------------------------------
% 6.95/1.88 % (3525970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525970)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525970)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.88 % (3525970)Time elapsed: 0.565 s
% 6.95/1.88 % (3525970)Peak memory usage: 126 MB
% 6.95/1.88 % (3525970)Instructions burned: 832 (million)
% 6.95/1.88 % (3525969)First to succeed.
% 6.95/1.88 % (3525969)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3525963"
% 6.95/1.88 % (3525985)------------------------------
% 6.95/1.88 % (3525985)------------------------------
% 6.95/1.88 % (3525984)------------------------------
% 6.95/1.88 % (3525984)------------------------------
% 6.95/1.88 % (3525986)------------------------------
% 6.95/1.88 % (3525986)------------------------------
% 6.95/1.88 % SZS status Satisfiable for theBenchmark
% 6.95/1.88 % SZS output start Saturation.
% See solution above
% 6.95/1.88 % SZS output start Definitions and Model Updates.
% 6.95/1.88 for all groundings,
% 6.95/1.88 whenever ~cowlNothing(X0) is false, set ~cowlNothing(X0) to true
% 6.95/1.88 for all groundings, until fixed point,
% 6.95/1.88 whenever cowlNothing(X1) | ~cowlNothing(X1) is false, set ~cowlNothing(X1) to true
% 6.95/1.88 % SZS output end Definitions and Model Updates.
% 6.95/1.88 % (3525969)------------------------------
% 6.95/1.88 % (3525969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.95/1.88 % (3525969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.88 % (3525969)CaDiCaL version: 2.1.3
% 6.95/1.88 % (3525969)Termination reason: Satisfiable
% 6.95/1.88 % (3525969)Time elapsed: 0.580 s
% 6.95/1.88 % (3525969)Peak memory usage: 127 MB
% 6.95/1.88 % (3525969)Instructions burned: 918 (million)
% 6.95/1.88 % (3525969)------------------------------
% 6.95/1.88 % (3525969)------------------------------
% 6.95/1.88 % (3525963)Success in time 0.922 s
% 6.95/1.88 % Vampire exiting
%------------------------------------------------------------------------------