%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS028+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:41:29 AM UTC 2026
% Result : Satisfiable 7.84s 2.06s
% Output : Saturation 7.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u216,axiom,
( ~ cc1(X2)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,sK1(X1))
| cc1(sK0(X0))
| ~ cSatisfiable(X1) ) ).
cnf(u160,axiom,
( ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ cc1(X2)
| cc2(sK0(X0)) ) ).
cnf(u207,axiom,
( ~ rrx3a(i2003_11_14_17_15_19316,X0)
| sK2(i2003_11_14_17_15_19316) = X0 ) ).
cnf(u209,axiom,
( ~ rrx4a(i2003_11_14_17_15_19316,X0)
| sK1(i2003_11_14_17_15_19316) = X0 ) ).
cnf(u153,axiom,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ) ).
cnf(u206,axiom,
( ~ cc1(sK1(X0))
| ~ cSatisfiable(X0)
| ~ rrx3a(X1,sK1(X0))
| ~ cSatisfiable(X1) ) ).
cnf(u217,axiom,
( ~ cSatisfiable(X1)
| ~ rrx3a(X0,sK2(X1))
| ~ rrx4a(X0,sK1(X2))
| cc1(sK0(X0))
| ~ cSatisfiable(X2)
| cSatisfiable(X0) ) ).
cnf(u222,axiom,
( ~ rrx3a(X0,sK2(i2003_11_14_17_15_19316))
| ~ rrx4a(X0,sK1(X1))
| cc2(sK0(X0))
| ~ cSatisfiable(X1)
| cSatisfiable(X0) ) ).
cnf(u213,axiom,
( ~ cSatisfiable(X1)
| ~ rrx3a(X0,sK2(X1))
| ~ rrx4a(X0,sK1(X2))
| rrx3a(X0,sK0(X0))
| ~ cSatisfiable(X2)
| cSatisfiable(X0) ) ).
cnf(u157,axiom,
( rrx3a(X0,sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u167,axiom,
( ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1)
| X1 = X2 ) ).
cnf(u162,axiom,
( ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ cc1(X2)
| rrx3a(X0,sK0(X0)) ) ).
cnf(u212,axiom,
( ~ cc1(X2)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,sK1(X1))
| rrx3a(X0,sK0(X0))
| ~ cSatisfiable(X1) ) ).
cnf(u156,axiom,
( cc1(sK2(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u155,axiom,
( ~ cc2(X6)
| ~ cc1(X6)
| ~ rrx3a(X0,X6)
| ~ cSatisfiable(X0) ) ).
cnf(u205,axiom,
( ~ cSatisfiable(X0)
| ~ rrx4a(X0,X1)
| sK1(X0) = X1 ) ).
cnf(u165,axiom,
( ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1)
| X1 = X2 ) ).
cnf(u221,axiom,
( ~ cSatisfiable(X1)
| ~ rrx3a(X0,sK2(X1))
| ~ rrx4a(X0,sK1(X2))
| cc2(sK0(X0))
| ~ cSatisfiable(X2)
| cSatisfiable(X0) ) ).
cnf(u168,axiom,
cSatisfiable(i2003_11_14_17_15_19316) ).
cnf(u159,axiom,
( rrx4a(X0,sK1(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u154,axiom,
( xsd_string(X0)
| xsd_integer(X0) ) ).
cnf(u204,axiom,
( ~ cSatisfiable(X0)
| ~ rrx3a(X0,X1)
| sK2(X0) = X1 ) ).
cnf(u218,axiom,
( ~ rrx3a(X0,sK2(i2003_11_14_17_15_19316))
| ~ rrx4a(X0,sK1(X1))
| cc1(sK0(X0))
| ~ cSatisfiable(X1)
| cSatisfiable(X0) ) ).
cnf(u161,axiom,
( ~ cc2(X1)
| ~ rrx4a(X0,X1)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ cc1(X2)
| cc1(sK0(X0)) ) ).
cnf(u214,axiom,
( ~ rrx3a(X0,sK2(i2003_11_14_17_15_19316))
| ~ rrx4a(X0,sK1(X1))
| rrx3a(X0,sK0(X0))
| ~ cSatisfiable(X1)
| cSatisfiable(X0) ) ).
cnf(u158,axiom,
( cc2(sK1(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u220,axiom,
( ~ cc1(X2)
| cSatisfiable(X0)
| ~ rrx3a(X0,X2)
| ~ rrx4a(X0,sK1(X1))
| cc2(sK0(X0))
| ~ cSatisfiable(X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS028+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 13:16:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 5.09/1.87 % (962713)Detected formulas, will run a generic FOF schedule.
% 5.09/1.87 % (962718)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=1241799235:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.09/1.87 % (962723)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3599699326:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.09/1.87 % (962723)Refutation not found, incomplete strategy
% 5.09/1.87 % (962723)------------------------------
% 5.09/1.87 % (962723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962723)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962723)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962723)Time elapsed: 0.003 s
% 5.09/1.87 % (962723)Peak memory usage: 88 MB
% 5.09/1.87 % (962723)Instructions burned: 2 (million)
% 5.09/1.87 % (962720)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=64072522:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.09/1.87 % (962722)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2190846596:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.09/1.87 % (962719)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=757725944:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.09/1.87 % (962721)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3214018776:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.09/1.87 % (962722)Refutation not found, incomplete strategy
% 5.09/1.87 % (962722)------------------------------
% 5.09/1.87 % (962722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962722)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962721)Refutation not found, incomplete strategy
% 5.09/1.87 % (962721)------------------------------
% 5.09/1.87 % (962721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962722)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962722)Time elapsed: 0.0000 s
% 5.09/1.87 % (962722)Peak memory usage: 86 MB
% 5.09/1.87 % (962721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962721)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962721)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962721)Time elapsed: 0.0000 s
% 5.09/1.87 % (962721)Peak memory usage: 86 MB
% 5.09/1.87 % (962724)dis-21_1_sil=8000:lcm=predicate:random_seed=726285237: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)
% 5.09/1.87 % (962724)Instruction limit reached!
% 5.09/1.87 % (962724)------------------------------
% 5.09/1.87 % (962724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962724)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962724)Termination reason: Instruction limit
% 5.09/1.87 % (962724)Termination phase: Saturation
% 5.09/1.87 % (962724)Time elapsed: 0.056 s
% 5.09/1.87 % (962724)Peak memory usage: 88 MB
% 5.09/1.87 % (962724)Instructions burned: 131 (million)
% 5.09/1.87 % (962732)lrs+10_1_sil=8000:sp=occurrence:random_seed=224743691:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.09/1.87 % (962732)Refutation not found, incomplete strategy
% 5.09/1.87 % (962732)------------------------------
% 5.09/1.87 % (962732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962732)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962732)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962732)Time elapsed: 0.0000 s
% 5.09/1.87 % (962732)Peak memory usage: 86 MB
% 5.09/1.87 % (962723)------------------------------
% 5.09/1.87 % (962723)------------------------------
% 5.09/1.87 % (962721)------------------------------
% 5.09/1.87 % (962721)------------------------------
% 5.09/1.87 % (962722)------------------------------
% 5.09/1.87 % (962722)------------------------------
% 5.09/1.87 % (962718)Refutation not found, incomplete strategy
% 5.09/1.87 % (962718)------------------------------
% 5.09/1.87 % (962718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962718)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962718)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962718)Time elapsed: 0.365 s
% 5.09/1.87 % (962718)Peak memory usage: 128 MB
% 5.09/1.87 % (962718)Instructions burned: 907 (million)
% 5.09/1.87 % (962736)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=3844162621:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.09/1.87 % (962735)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3812908222:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.09/1.87 % (962734)lrs+10_1_sil=32000:urr=on:br=off:random_seed=616433681:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.09/1.87 % (962735)Refutation not found, incomplete strategy
% 5.09/1.87 % (962735)------------------------------
% 5.09/1.87 % (962735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962735)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962735)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962735)Time elapsed: 0.0000 s
% 5.09/1.87 % (962735)Peak memory usage: 86 MB
% 5.09/1.87 % (962734)Refutation not found, incomplete strategy
% 5.09/1.87 % (962734)------------------------------
% 5.09/1.87 % (962734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962734)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962734)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962734)Time elapsed: 0.001 s
% 5.09/1.87 % (962734)Peak memory usage: 87 MB
% 5.09/1.87 % (962736)Refutation not found, incomplete strategy
% 5.09/1.87 % (962736)------------------------------
% 5.09/1.87 % (962736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962736)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962736)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962736)Time elapsed: 0.003 s
% 5.09/1.87 % (962736)Peak memory usage: 88 MB
% 5.09/1.87 % (962736)Instructions burned: 4 (million)
% 5.09/1.87 % (962732)------------------------------
% 5.09/1.87 % (962732)------------------------------
% 5.09/1.87 % (962718)------------------------------
% 5.09/1.87 % (962718)------------------------------
% 5.09/1.87 % (962720)Refutation not found, incomplete strategy
% 5.09/1.87 % (962720)------------------------------
% 5.09/1.87 % (962720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962720)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962720)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962720)Time elapsed: 0.560 s
% 5.09/1.87 % (962720)Peak memory usage: 127 MB
% 5.09/1.87 % (962720)Instructions burned: 829 (million)
% 5.09/1.87 % (962740)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=435666130:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.09/1.87 % (962740)Refutation not found, incomplete strategy
% 5.09/1.87 % (962740)------------------------------
% 5.09/1.87 % (962740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.87 % (962740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.87 % (962740)CaDiCaL version: 2.1.3
% 5.09/1.87 % (962740)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.87 % (962740)Time elapsed: 0.001 s
% 5.09/1.87 % (962740)Peak memory usage: 86 MB
% 5.09/1.87 % (962741)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1969729943:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.09/1.87 % (962719)First to succeed.
% 5.09/1.87 % (962719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-962713"
% 5.09/1.87 % (962736)------------------------------
% 5.09/1.87 % (962736)------------------------------
% 5.09/1.87 % (962734)------------------------------
% 7.84/2.06 % (962734)------------------------------
% 7.84/2.06 % (962735)------------------------------
% 7.84/2.06 % (962735)------------------------------
% 7.84/2.06 % (962746)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3572354616:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.84/2.06 % (962744)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1592948990:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.84/2.06 % (962746)Refutation not found, incomplete strategy
% 7.84/2.06 % (962746)------------------------------
% 7.84/2.06 % (962746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.06 % (962746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.06 % (962746)CaDiCaL version: 2.1.3
% 7.84/2.06 % (962746)Termination reason: Refutation not found, incomplete strategy
% 7.84/2.06 % (962746)Time elapsed: 0.001 s
% 7.84/2.06 % (962746)Peak memory usage: 88 MB
% 7.84/2.06 % (962744)Refutation not found, incomplete strategy
% 7.84/2.06 % (962744)------------------------------
% 7.84/2.06 % (962744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.06 % (962745)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2527321820:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.84/2.06 % (962744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.06 % (962744)CaDiCaL version: 2.1.3
% 7.84/2.06 % (962744)Termination reason: Refutation not found, incomplete strategy
% 7.84/2.06 % (962744)Time elapsed: 0.002 s
% 7.84/2.06 % (962744)Peak memory usage: 88 MB
% 7.84/2.06 % (962744)Instructions burned: 1 (million)
% 7.84/2.06 % (962745)Refutation not found, incomplete strategy
% 7.84/2.06 % (962745)------------------------------
% 7.84/2.06 % (962745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.06 % (962745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.06 % (962745)CaDiCaL version: 2.1.3
% 7.84/2.06 % (962745)Termination reason: Refutation not found, incomplete strategy
% 7.84/2.06 % (962745)Time elapsed: 0.002 s
% 7.84/2.06 % (962745)Peak memory usage: 88 MB
% 7.84/2.06 % (962745)Instructions burned: 2 (million)
% 7.84/2.06 % (962720)------------------------------
% 7.84/2.06 % (962720)------------------------------
% 7.84/2.06 % (962740)------------------------------
% 7.84/2.06 % (962740)------------------------------
% 7.84/2.06 % SZS status Satisfiable for theBenchmark
% 7.84/2.06 % SZS output start Saturation.
% See solution above
% 7.84/2.06 % SZS output start Definitions and Model Updates.
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever X1 = X2 | ~rrx(X0,X1) | ~rrx(X0,X2) is false, set ~rrx(X0,X2) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx(X2,X1) | ~rrx(X2,X1) is false, set ~rrx(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx(X1,X2) | ~rrx(X1,X2) is false, set ~rrx(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever X1 = X2 | ~rrx3(X0,X1) | ~rrx3(X0,X2) is false, set ~rrx3(X0,X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx(X0,X1) | ~rrx3(X0,X1) is false, set ~rrx3(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx3(X2,X1) | ~rrx3(X2,X1) is false, set ~rrx3(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx3(X1,X2) | ~rrx3(X1,X2) is false, set ~rrx3(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx1(X0,X1) | ~rrx3(X0,X1) is false, set rrx1(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx1(X1,X2) | ~rrx1(X1,X2) is false, set rrx1(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx1a(X0,X1) | ~rrx3a(X0,X1) is false, set rrx1a(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx1a(X2,X1) | ~rrx1a(X2,X1) is false, set rrx1a(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx1a(X1,X2) | ~rrx1a(X1,X2) is false, set rrx1a(X1,X2) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx2(X1,X2) | ~rrx2(X1,X2) is false, set rrx2(X1,X2) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx2(X2,X1) | ~rrx2(X2,X1) is false, set rrx2(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx1(X2,X1) | ~rrx1(X2,X1) is false, set rrx1(X2,X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx2a(X0,X1) | ~rrx4a(X0,X1) is false, set rrx2a(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx2a(X2,X1) | ~rrx2a(X2,X1) is false, set rrx2a(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx2a(X1,X2) | ~rrx2a(X1,X2) is false, set rrx2a(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever X1 = X2 | ~rrx4(X0,X1) | ~rrx4(X0,X2) is false, set ~rrx4(X0,X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx(X0,X1) | ~rrx4(X0,X1) is false, set ~rrx4(X0,X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrxa(X0,X1) | ~rrx4a(X0,X1) is false, set rrxa(X0,X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrxa(X0,X1) | ~rrx3a(X0,X1) is false, set rrxa(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrxa(X2,X1) | ~rrxa(X2,X1) is false, set rrxa(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrxa(X1,X2) | ~rrxa(X1,X2) is false, set rrxa(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever rrx2(X0,X1) | ~rrx4(X0,X1) is false, set ~rrx4(X0,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx4(X2,X1) | ~rrx4(X2,X1) is false, set ~rrx4(X2,X1) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever rrx4(X1,X2) | ~rrx4(X1,X2) is false, set ~rrx4(X1,X2) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever cowlThing(X0) is false, set cowlThing(X0) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever cowlThing(X1) | ~cowlThing(X1) is false, set cowlThing(X1) to true
% 7.84/2.06 for all groundings,
% 7.84/2.06 whenever ~cowlNothing(X0) is false, set ~cowlNothing(X0) to true
% 7.84/2.06 for all groundings, until fixed point,
% 7.84/2.06 whenever cowlNothing(X1) | ~cowlNothing(X1) is false, set ~cowlNothing(X1) to true
% 7.84/2.06 % SZS output end Definitions and Model Updates.
% 7.84/2.06 % (962719)------------------------------
% 7.84/2.06 % (962719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.06 % (962719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.06 % (962719)CaDiCaL version: 2.1.3
% 7.84/2.06 % (962719)Termination reason: Satisfiable
% 7.84/2.06 % (962719)Time elapsed: 0.614 s
% 7.84/2.06 % (962719)Peak memory usage: 128 MB
% 7.84/2.06 % (962719)Instructions burned: 908 (million)
% 7.84/2.06 % (962719)------------------------------
% 7.84/2.06 % (962719)------------------------------
% 7.84/2.06 % (962713)Success in time 1.028 s
% 7.84/2.06 % Vampire exiting
%------------------------------------------------------------------------------