%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS042+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 11:41:31 AM UTC 2026
% Result : Satisfiable 8.04s 2.11s
% Output : Saturation 8.04s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u189,axiom,
( xsd_string(X0)
| xsd_integer(X0) ) ).
cnf(u260,axiom,
( ~ cc1(sK1(X0))
| ca_Ax2(sK1(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u202,axiom,
( ~ ca_Cx1xcomp(X0)
| rrx3a(X0,sK3(X0)) ) ).
cnf(u257,axiom,
( ~ rrx4a(i2003_11_14_17_16_10980,X0)
| sK1(i2003_11_14_17_16_10980) = X0 ) ).
cnf(u196,axiom,
( cc1(X0)
| ~ ca_Ax2(X0) ) ).
cnf(u195,axiom,
( ~ rrx4a(X0,X2)
| ~ rrx3a(X0,X1)
| ~ cc1(X1)
| ~ ca_Cx1(X0)
| cSatisfiable(X0)
| ~ cc2(X2) ) ).
cnf(u188,axiom,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ) ).
cnf(u254,axiom,
( ~ rrx3a(i2003_11_14_17_16_10980,X0)
| sK0(i2003_11_14_17_16_10980) = X0 ) ).
cnf(u208,axiom,
( ~ rrx3a(X0,X2)
| ~ rrx3a(X0,X1)
| X1 = X2 ) ).
cnf(u199,axiom,
( ra_Px1(X0,sK2(X0))
| ~ ca_Cx1(X0) ) ).
cnf(u194,axiom,
( rrx3a(X0,sK0(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u201,axiom,
( ~ ca_Cx1xcomp(X0)
| ca_Ax2(sK3(X0)) ) ).
cnf(u191,axiom,
( rrx4a(X0,sK1(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u204,axiom,
( ~ ca_Cx1xcomp(X0)
| ~ ra_Px1(X0,X2) ) ).
cnf(u190,axiom,
( cc2(sK1(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u211,axiom,
cSatisfiable(i2003_11_14_17_16_10980) ).
cnf(u198,axiom,
( ~ cc2(X0)
| ca_Ax2(X0)
| ~ cc1(X0) ) ).
cnf(u205,axiom,
( ra_Px1(X0,sK4(X0))
| ca_Cx1xcomp(X0) ) ).
cnf(u253,axiom,
( ~ cSatisfiable(X0)
| ~ rrx4a(X0,X1)
| sK1(X0) = X1 ) ).
cnf(u200,axiom,
( ~ ra_Px1(X0,X1)
| ca_Cx1(X0) ) ).
cnf(u263,axiom,
( ca_Cx1(X0)
| ca_Cx1xcomp(X0) ) ).
cnf(u210,axiom,
( ~ rrx4a(X0,X2)
| ~ rrx4a(X0,X1)
| X1 = X2 ) ).
cnf(u193,axiom,
( cc1(sK0(X0))
| ~ cSatisfiable(X0) ) ).
cnf(u256,axiom,
ca_Cx1(i2003_11_14_17_16_10980) ).
cnf(u252,axiom,
( ~ cSatisfiable(X0)
| ~ rrx3a(X0,X1)
| sK0(X0) = X1 ) ).
cnf(u203,axiom,
( ~ ca_Ax2(X1)
| ~ rrx3a(X0,X1)
| ca_Cx1xcomp(X0) ) ).
cnf(u197,axiom,
( cc2(X0)
| ~ ca_Ax2(X0) ) ).
cnf(u192,axiom,
( ~ cSatisfiable(X0)
| ca_Cx1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS042+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:17:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.76/1.92 % (963930)Detected formulas, will run a generic FOF schedule.
% 6.76/1.92 % (963935)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=2375388962:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.76/1.92 % (963938)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1924673656:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.76/1.92 % (963936)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=2258754836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.76/1.92 % (963941)dis-21_1_sil=8000:lcm=predicate:random_seed=3587449767: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)
% 6.76/1.92 % (963937)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=3682360406:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.76/1.92 % (963939)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3090489141:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.76/1.92 % (963940)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=801689891:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.76/1.92 % (963939)Refutation not found, incomplete strategy
% 6.76/1.92 % (963939)------------------------------
% 6.76/1.92 % (963939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (963939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (963939)CaDiCaL version: 2.1.3
% 6.76/1.92 % (963938)Refutation not found, incomplete strategy
% 6.76/1.92 % (963938)------------------------------
% 6.76/1.92 % (963938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (963939)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.92 % (963939)Time elapsed: 0.001 s
% 6.76/1.92 % (963939)Peak memory usage: 86 MB
% 6.76/1.92 % (963938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (963938)CaDiCaL version: 2.1.3
% 6.76/1.92 % (963938)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.92 % (963938)Time elapsed: 0.0000 s
% 6.76/1.92 % (963938)Peak memory usage: 86 MB
% 6.76/1.92 % (963940)Refutation not found, incomplete strategy
% 6.76/1.92 % (963940)------------------------------
% 6.76/1.92 % (963940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (963940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (963940)CaDiCaL version: 2.1.3
% 6.76/1.92 % (963940)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.92 % (963940)Time elapsed: 0.004 s
% 6.76/1.92 % (963940)Peak memory usage: 89 MB
% 6.76/1.92 % (963940)Instructions burned: 5 (million)
% 6.76/1.92 % (963941)Instruction limit reached!
% 6.76/1.92 % (963941)------------------------------
% 6.76/1.92 % (963941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (963941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (963941)CaDiCaL version: 2.1.3
% 6.76/1.92 % (963941)Termination reason: Instruction limit
% 6.76/1.92 % (963941)Termination phase: Saturation
% 6.76/1.92 % (963941)Time elapsed: 0.063 s
% 6.76/1.92 % (963941)Peak memory usage: 88 MB
% 6.76/1.92 % (963941)Instructions burned: 130 (million)
% 6.76/1.92 % (963940)------------------------------
% 6.76/1.92 % (963940)------------------------------
% 6.76/1.92 % (963938)------------------------------
% 6.76/1.92 % (963938)------------------------------
% 6.76/1.92 % (963939)------------------------------
% 6.76/1.92 % (963939)------------------------------
% 6.76/1.92 % (963949)lrs+10_1_sil=8000:sp=occurrence:random_seed=732702343:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.76/1.92 % (963949)Refutation not found, incomplete strategy
% 6.76/1.92 % (963949)------------------------------
% 6.76/1.92 % (963949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (963949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (963949)CaDiCaL version: 2.1.3
% 6.76/1.92 % (963949)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.92 % (963949)Time elapsed: 0.001 s
% 8.04/2.11 % (963949)Peak memory usage: 87 MB
% 8.04/2.11 % (963935)Refutation not found, incomplete strategy
% 8.04/2.11 % (963935)------------------------------
% 8.04/2.11 % (963935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963935)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963935)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963935)Time elapsed: 0.343 s
% 8.04/2.11 % (963935)Peak memory usage: 128 MB
% 8.04/2.11 % (963935)Instructions burned: 907 (million)
% 8.04/2.11 % (963953)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=175195188:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.04/2.11 % (963952)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3289485381:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.04/2.11 % (963951)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4029764606:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 8.04/2.11 % (963952)Refutation not found, incomplete strategy
% 8.04/2.11 % (963952)------------------------------
% 8.04/2.11 % (963952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963952)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963952)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963952)Time elapsed: 0.001 s
% 8.04/2.11 % (963952)Peak memory usage: 86 MB
% 8.04/2.11 % (963951)Refutation not found, incomplete strategy
% 8.04/2.11 % (963951)------------------------------
% 8.04/2.11 % (963951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963951)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963951)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963951)Time elapsed: 0.001 s
% 8.04/2.11 % (963951)Peak memory usage: 87 MB
% 8.04/2.11 % (963953)Refutation not found, incomplete strategy
% 8.04/2.11 % (963953)------------------------------
% 8.04/2.11 % (963953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963953)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963953)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963953)Time elapsed: 0.004 s
% 8.04/2.11 % (963953)Peak memory usage: 88 MB
% 8.04/2.11 % (963953)Instructions burned: 5 (million)
% 8.04/2.11 % (963935)------------------------------
% 8.04/2.11 % (963935)------------------------------
% 8.04/2.11 % (963949)------------------------------
% 8.04/2.11 % (963949)------------------------------
% 8.04/2.11 % (963937)Refutation not found, incomplete strategy
% 8.04/2.11 % (963937)------------------------------
% 8.04/2.11 % (963937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963937)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963937)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963937)Time elapsed: 0.568 s
% 8.04/2.11 % (963937)Peak memory usage: 126 MB
% 8.04/2.11 % (963937)Instructions burned: 833 (million)
% 8.04/2.11 % (963957)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2017171832:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.04/2.11 % (963957)Refutation not found, incomplete strategy
% 8.04/2.11 % (963957)------------------------------
% 8.04/2.11 % (963957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963957)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963957)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963957)Time elapsed: 0.0000 s
% 8.04/2.11 % (963957)Peak memory usage: 86 MB
% 8.04/2.11 % (963936)First to succeed.
% 8.04/2.11 % (963936)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-963930"
% 8.04/2.11 % (963953)------------------------------
% 8.04/2.11 % (963953)------------------------------
% 8.04/2.11 % (963952)------------------------------
% 8.04/2.11 % (963952)------------------------------
% 8.04/2.11 % (963951)------------------------------
% 8.04/2.11 % (963951)------------------------------
% 8.04/2.11 % (963958)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1887777742:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.04/2.11 % (963957)------------------------------
% 8.04/2.11 % (963957)------------------------------
% 8.04/2.11 % (963937)------------------------------
% 8.04/2.11 % (963937)------------------------------
% 8.04/2.11 % (963961)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3827294806:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.04/2.11 % (963963)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4161654899:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.04/2.11 % (963962)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3508963590:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 8.04/2.11 % (963963)Refutation not found, incomplete strategy
% 8.04/2.11 % (963963)------------------------------
% 8.04/2.11 % (963963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963963)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963963)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963963)Time elapsed: 0.002 s
% 8.04/2.11 % (963963)Peak memory usage: 88 MB
% 8.04/2.11 % (963963)Instructions burned: 1 (million)
% 8.04/2.11 % (963961)Refutation not found, incomplete strategy
% 8.04/2.11 % (963961)------------------------------
% 8.04/2.11 % (963961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963962)Refutation not found, incomplete strategy
% 8.04/2.11 % (963962)------------------------------
% 8.04/2.11 % (963962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963961)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963961)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963961)Time elapsed: 0.002 s
% 8.04/2.11 % (963962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963961)Peak memory usage: 88 MB
% 8.04/2.11 % (963961)Instructions burned: 2 (million)
% 8.04/2.11 % (963962)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963962)Termination reason: Refutation not found, incomplete strategy
% 8.04/2.11 % (963962)Time elapsed: 0.002 s
% 8.04/2.11 % (963962)Peak memory usage: 88 MB
% 8.04/2.11 % (963962)Instructions burned: 2 (million)
% 8.04/2.11 % SZS status Satisfiable for theBenchmark
% 8.04/2.11 % SZS output start Saturation.
% See solution above
% 8.04/2.11 % SZS output start Definitions and Model Updates.
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever X1 = X2 | ~rrx(X0,X1) | ~rrx(X0,X2) is false, set ~rrx(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx(X2,X1) | ~rrx(X2,X1) is false, set ~rrx(X2,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx(X1,X2) | ~rrx(X1,X2) is false, set ~rrx(X1,X2) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrxa(X0,X1) | ~rrx3a(X0,X1) is false, set rrxa(X0,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrxa(X0,X1) | ~rrx4a(X0,X1) is false, set rrxa(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrxa(X2,X1) | ~rrxa(X2,X1) is false, set rrxa(X2,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrxa(X1,X2) | ~rrxa(X1,X2) is false, set rrxa(X1,X2) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx(X0,X1) | ~rrx3(X0,X1) is false, set ~rrx3(X0,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever X1 = X2 | ~rrx3(X0,X1) | ~rrx3(X0,X2) is false, set ~rrx3(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx3(X1,X2) | ~rrx3(X1,X2) is false, set ~rrx3(X1,X2) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx3(X2,X1) | ~rrx3(X2,X1) is false, set ~rrx3(X2,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx(X0,X1) | ~rrx4(X0,X1) is false, set ~rrx4(X0,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever X1 = X2 | ~rrx4(X0,X1) | ~rrx4(X0,X2) is false, set ~rrx4(X0,X2) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx4(X1,X2) | ~rrx4(X1,X2) is false, set ~rrx4(X1,X2) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx1(X0,X1) | ~rrx3(X0,X1) is false, set rrx1(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx1(X2,X1) | ~rrx1(X2,X1) is false, set rrx1(X2,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx1a(X0,X1) | ~rrx3a(X0,X1) is false, set rrx1a(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx1a(X2,X1) | ~rrx1a(X2,X1) is false, set rrx1a(X2,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx2(X0,X1) | ~rrx4(X0,X1) is false, set rrx2(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx2(X1,X2) | ~rrx2(X1,X2) is false, set rrx2(X1,X2) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx1a(X1,X2) | ~rrx1a(X1,X2) is false, set rrx1a(X1,X2) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx1(X1,X2) | ~rrx1(X1,X2) is false, set rrx1(X1,X2) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever rrx2a(X0,X1) | ~rrx4a(X0,X1) is false, set rrx2a(X0,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx2a(X2,X1) | ~rrx2a(X2,X1) is false, set rrx2a(X2,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx2a(X1,X2) | ~rrx2a(X1,X2) is false, set rrx2a(X1,X2) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx2(X2,X1) | ~rrx2(X2,X1) is false, set rrx2(X2,X1) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever rrx4(X2,X1) | ~rrx4(X2,X1) is false, set ~rrx4(X2,X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever cowlThing(X0) is false, set cowlThing(X0) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever cowlThing(X1) | ~cowlThing(X1) is false, set cowlThing(X1) to true
% 8.04/2.11 for all groundings,
% 8.04/2.11 whenever ~cowlNothing(X0) is false, set ~cowlNothing(X0) to true
% 8.04/2.11 for all groundings, until fixed point,
% 8.04/2.11 whenever cowlNothing(X1) | ~cowlNothing(X1) is false, set ~cowlNothing(X1) to true
% 8.04/2.11 % SZS output end Definitions and Model Updates.
% 8.04/2.11 % (963936)------------------------------
% 8.04/2.11 % (963936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.11 % (963936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.11 % (963936)CaDiCaL version: 2.1.3
% 8.04/2.11 % (963936)Termination reason: Satisfiable
% 8.04/2.11 % (963936)Time elapsed: 0.616 s
% 8.04/2.11 % (963936)Peak memory usage: 127 MB
% 8.04/2.11 % (963936)Instructions burned: 911 (million)
% 8.04/2.11 % (963936)------------------------------
% 8.04/2.11 % (963936)------------------------------
% 8.04/2.11 % (963930)Success in time 1.057 s
% 8.04/2.11 % Vampire exiting
%------------------------------------------------------------------------------