%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT194^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Wed Sep 30 07:49:01 AM UTC 2026
% Result : Theorem 2.54s 0.62s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT194^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:06:55 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/0.62 % (1116902)Will run a generic schedule for satisfiability detection.
% 2.54/0.62 % (1116907)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3418879179_2999 on theBenchmark for (2999ds/0Mi)
% 2.54/0.62 % (1116908)% WARNING: option uhcvi not known.
% 2.54/0.62 % (1116908)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2302318705:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.54/0.62 % (1116910)dis+10_1_sil=32000:sp=arity:random_seed=3048874290:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.54/0.62 % (1116909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=496573466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.54/0.62 % (1116911)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4176962741:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.54/0.62 % (1116913)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3488962132:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116912)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2782065759:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.54/0.62 % (1116908)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.62 % (1116911)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.62 % (1116920)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=209586388:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.54/0.62 % (1116908)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116910)Instruction limit reached!
% 2.54/0.62 % (1116910)------------------------------
% 2.54/0.62 % (1116910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116910)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116910)Termination reason: Instruction limit
% 2.54/0.62 % (1116910)Termination phase: Saturation
% 2.54/0.62 % (1116910)Time elapsed: 0.046 s
% 2.54/0.62 % (1116910)Peak memory usage: 12 MB
% 2.54/0.62 % (1116910)Instructions burned: 103 (million)
% 2.54/0.62 % (1116911)Instruction limit reached!
% 2.54/0.62 % (1116911)------------------------------
% 2.54/0.62 % (1116911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116911)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116911)Termination reason: Instruction limit
% 2.54/0.62 % (1116911)Termination phase: Saturation
% 2.54/0.62 % (1116911)Time elapsed: 0.052 s
% 2.54/0.62 % (1116911)Peak memory usage: 13 MB
% 2.54/0.62 % (1116911)Instructions burned: 117 (million)
% 2.54/0.62 % (1116923)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=74793844:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.54/0.62 % (1116924)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2138936418:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.54/0.62 % (1116925)ott-21_1_sil=16000:fs=off:random_seed=2979465135:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.54/0.62 % (1116924)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.62 % (1116923)Instruction limit reached!
% 2.54/0.62 % (1116923)------------------------------
% 2.54/0.62 % (1116923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116923)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116923)Termination reason: Instruction limit
% 2.54/0.62 % (1116923)Termination phase: Saturation
% 2.54/0.62 % (1116923)Time elapsed: 0.031 s
% 2.54/0.62 % (1116923)Peak memory usage: 13 MB
% 2.54/0.62 % (1116923)Instructions burned: 131 (million)
% 2.54/0.62 % (1116929)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2499465657:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.54/0.62 % (1116913)Instruction limit reached!
% 2.54/0.62 % (1116913)------------------------------
% 2.54/0.62 % (1116913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116913)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116913)Termination reason: Instruction limit
% 2.54/0.62 % (1116913)Termination phase: Saturation
% 2.54/0.62 % (1116913)Time elapsed: 0.093 s
% 2.54/0.62 % (1116913)Peak memory usage: 14 MB
% 2.54/0.62 % (1116913)Instructions burned: 160 (million)
% 2.54/0.62 % (1116924)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.54/0.62 % (1116912)Instruction limit reached!
% 2.54/0.62 % (1116912)------------------------------
% 2.54/0.62 % (1116912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116912)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116912)Termination reason: Instruction limit
% 2.54/0.62 % (1116912)Termination phase: Saturation
% 2.54/0.62 % (1116912)Time elapsed: 0.107 s
% 2.54/0.62 % (1116912)Peak memory usage: 13 MB
% 2.54/0.62 % (1116912)Instructions burned: 132 (million)
% 2.54/0.62 % (1116931)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4002065384:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.54/0.62 % (1116932)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2940554061:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.54/0.62 % (1116925)Instruction limit reached!
% 2.54/0.62 % (1116925)------------------------------
% 2.54/0.62 % (1116925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116925)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116925)Termination reason: Instruction limit
% 2.54/0.62 % (1116925)Termination phase: Saturation
% 2.54/0.62 % (1116925)Time elapsed: 0.082 s
% 2.54/0.62 % (1116925)Peak memory usage: 13 MB
% 2.54/0.62 % (1116925)Instructions burned: 181 (million)
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116935)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=702590690:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.54/0.62 % (1116936)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3308661829:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116929)Instruction limit reached!
% 2.54/0.62 % (1116929)------------------------------
% 2.54/0.62 % (1116929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116929)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116929)Termination reason: Instruction limit
% 2.54/0.62 % (1116929)Termination phase: Saturation
% 2.54/0.62 % (1116929)Time elapsed: 0.126 s
% 2.54/0.62 % (1116929)Peak memory usage: 14 MB
% 2.54/0.62 % (1116929)Instructions burned: 480 (million)
% 2.54/0.62 % (1116936)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.62 % (1116941)fmb+10_1_sil=64000:random_seed=2409763692:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 2.54/0.62 % (1116941)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.54/0.62 % (1116939)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=704248270:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116944)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2190442329:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 2.54/0.62 % (1116939)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.62 % Exception at run slice level
% 2.54/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.62 % (1116936) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1116902-1116936"...
% 2.54/0.62 % (1116936)...printing done.
% 2.54/0.62 % (1116947)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2502616956:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 2.54/0.62 % (1116936)Refutation found. Thanks to Tanya!
% 2.54/0.62 % SZS status Theorem for theBenchmark
% 2.54/0.62 % SZS output start Proof for theBenchmark
% 2.54/0.62 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 2.54/0.62 thf(type_def_6, type, set: $tType > $tType).
% 2.54/0.62 thf(type_def_7, type, itself: $tType > $tType).
% 2.54/0.62 thf(type_def_8, type, a: $tType).
% 2.54/0.62 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 2.54/0.62 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.54/0.62 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.54/0.62 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.54/0.62 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.54/0.62 thf(func_def_4, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.54/0.62 thf(func_def_5, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_6, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 2.54/0.62 thf(func_def_7, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_8, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_9, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_10, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_11, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_12, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 2.54/0.62 thf(func_def_13, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 2.54/0.62 thf(func_def_14, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_15, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_16, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 2.54/0.62 thf(func_def_17, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_18, type, coinductive_lprefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_19, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_20, type, coindu63249387sorted: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_21, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 2.54/0.62 thf(func_def_22, type, undefined: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.54/0.62 thf(func_def_24, type, lMirro427583474mirror: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_25, type, lMirro999291890or_aux: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_26, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 2.54/0.62 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_28, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.54/0.62 thf(func_def_29, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.54/0.62 thf(func_def_30, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 2.54/0.62 thf(func_def_31, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.54/0.62 thf(func_def_32, type, x: a).
% 2.54/0.62 thf(func_def_33, type, xs: coinductive_llist @ a).
% 2.54/0.62 thf(func_def_35, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_36, type, vAND: ($o > $o > $o)).
% 2.54/0.62 thf(func_def_37, type, vNOT: ($o > $o)).
% 2.54/0.62 thf(func_def_38, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_39, type, db0: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_40, type, db1: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_41, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.54/0.62 thf(func_def_42, type, vOR: ($o > $o > $o)).
% 2.54/0.62 thf(func_def_45, type, db5: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_46, type, db4: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_47, type, db3: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_48, type, db2: !>[X0: $tType]:(X0)).
% 2.54/0.62 thf(func_def_49, type, vIMP: ($o > $o > $o)).
% 2.54/0.62 thf(func_def_50, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_51, type, sP0: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_52, type, sP1: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_53, type, sP2: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_54, type, sP3: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_55, type, sP4: !>[X0: $tType]:((coinductive_llist @ X0 > (coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_56, type, sP5: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_57, type, sP6: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_58, type, sP7: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_59, type, sP8: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_60, type, sP9: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_61, type, sP10: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_62, type, sP11: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_63, type, sP12: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_64, type, sP13: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_65, type, sP14: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_66, type, sP15: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > $o))).
% 2.54/0.62 thf(func_def_67, type, sP16: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 2.54/0.62 thf(func_def_68, type, sP17: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_69, type, sP18: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_70, type, sP19: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_71, type, sP20: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_72, type, sP21: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 2.54/0.62 thf(func_def_73, type, sK22: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_74, type, sK23: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_75, type, sK24: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_76, type, sK25: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_77, type, sK26: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_78, type, sK27: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_79, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_80, type, sK29: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_81, type, sK30: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_82, type, sK31: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_83, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_84, type, sK33: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_85, type, sK34: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_86, type, sK35: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_87, type, sK36: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_88, type, sK37: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_89, type, sK38: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_90, type, sK39: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_91, type, sK40: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_92, type, sK41: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_93, type, sK42: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_94, type, sK43: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_95, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_96, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_97, type, sK46: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_98, type, sK47: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_99, type, sK48: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_100, type, sK49: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_101, type, sK50: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_102, type, sK51: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 2.54/0.62 thf(func_def_103, type, sK52: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_104, type, sK53: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_105, type, sK54: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_106, type, sK55: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_107, type, sK56: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_108, type, sK57: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_109, type, sK58: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_110, type, sK59: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_111, type, sK60: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 2.54/0.62 thf(func_def_112, type, sK61: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_113, type, sK62: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_114, type, sK63: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_115, type, sK64: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_116, type, sK65: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_117, type, sK66: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_118, type, sK67: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_119, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_120, type, sK69: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_121, type, sK70: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_122, type, sK71: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_123, type, sK72: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 2.54/0.62 thf(func_def_124, type, sK73: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_125, type, sK74: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_126, type, sK75: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_127, type, sK76: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_128, type, sK77: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_129, type, sK78: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_130, type, sK79: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_131, type, sK80: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_132, type, sK81: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_133, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.54/0.62 thf(func_def_134, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.54/0.62 thf(func_def_135, type, sK84: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_136, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_137, type, sK86: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.54/0.62 thf(func_def_138, type, sK87: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.54/0.62 thf(func_def_139, type, sK88: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_140, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_141, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.54/0.62 thf(func_def_142, type, sK91: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 2.54/0.62 thf(func_def_143, type, sK92: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 2.54/0.62 thf(func_def_144, type, sK93: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 2.54/0.62 thf(func_def_145, type, sK94: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_146, type, sK95: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_147, type, sK96: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_148, type, sK97: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.54/0.62 thf(func_def_149, type, sK98: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_150, type, sK99: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_151, type, sK100: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_152, type, sK101: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_153, type, sK102: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_154, type, sK103: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_155, type, sK104: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_156, type, sK105: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_157, type, sK106: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_158, type, sK107: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_159, type, sK108: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_160, type, sK109: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_161, type, sK110: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_162, type, sK111: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_163, type, sK112: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_164, type, sK113: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_165, type, sK114: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_166, type, sK115: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_167, type, sK116: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_168, type, sK117: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(func_def_169, type, sK118: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_170, type, sK119: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_171, type, sK120: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_172, type, sK121: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_173, type, sK122: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_174, type, sK123: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_175, type, sK124: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_176, type, sK125: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_177, type, sK126: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_178, type, sK127: !>[X0: $tType]:((X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_179, type, sK128: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_180, type, sK129: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_181, type, sK130: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_182, type, sK131: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_183, type, sK132: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_184, type, sK133: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_185, type, sK134: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_186, type, sK135: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_187, type, sK136: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_188, type, sK137: !>[X0: $tType]:((X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_189, type, sK138: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_190, type, sK139: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_191, type, sK140: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_192, type, sK141: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_193, type, sK142: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_194, type, sK143: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.54/0.62 thf(func_def_195, type, sK144: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.54/0.62 thf(f13,axiom,(
% 2.54/0.62 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : X0,X3 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ X1 @ (coinductive_LCons @ X0 @ X2 @ X3))) = ((coinductive_LCons @ X0 @ X2 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X3) @ (coinductive_LCons @ X0 @ X2 @ X1)))))),
% 2.54/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_lmirror__aux__LCons)).
% 2.54/0.62 thf(f18,axiom,(
% 2.54/0.62 ! [X0 : $tType] : (lMirro427583474mirror @ X0 = ((lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0)))),
% 2.54/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_lmirror__def)).
% 2.54/0.62 thf(f268,conjecture,(
% 2.54/0.62 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 2.54/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.54/0.62 thf(f269,negated_conjecture,(
% 2.54/0.62 ~ (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 2.54/0.62 inference(negated_conjecture,[status(cth)],[f268])).
% 2.54/0.62 thf(f755,plain,(
% 2.54/0.62 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 2.54/0.62 inference(flattening,[],[f269])).
% 2.54/0.62 thf(f1108,plain,(
% 2.54/0.62 ( ! [X0 : $tType,X2 : X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((lMirro999291890or_aux @ X0 @ X1 @ (coinductive_LCons @ X0 @ X2 @ X3))) = ((coinductive_LCons @ X0 @ X2 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X3) @ (coinductive_LCons @ X0 @ X2 @ X1)))))) )),
% 2.54/0.62 inference(cnf_transformation,[],[f13])).
% 2.54/0.62 thf(f1113,plain,(
% 2.54/0.62 ( ! [X0 : $tType] : ((lMirro427583474mirror @ X0 = ((lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0)))) )),
% 2.54/0.62 inference(cnf_transformation,[],[f18])).
% 2.54/0.62 thf(f1458,plain,(
% 2.54/0.62 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 2.54/0.62 inference(cnf_transformation,[],[f755])).
% 2.54/0.62 thf(f1557,plain,(
% 2.54/0.62 (((lMirro999291890or_aux @ a @ coinductive_LNil @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 2.54/0.62 inference(definition_unfolding,[],[f1458,f1113,f1113])).
% 2.54/0.62 thf(f2495,plain,(
% 2.54/0.62 $false),
% 2.54/0.62 inference(backward_subsumption_resolution,[],[f1557,f1108])).
% 2.54/0.62 % SZS output end Proof for theBenchmark
% 2.54/0.62 % (1116936)------------------------------
% 2.54/0.62 % (1116936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.62 % (1116936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.62 % (1116936)CaDiCaL version: 2.1.3
% 2.54/0.62 % (1116936)Termination reason: Refutation
% 2.54/0.62 % (1116936)Time elapsed: 0.142 s
% 2.54/0.62 % (1116936)Peak memory usage: 14 MB
% 2.54/0.62 % (1116936)Instructions burned: 168 (million)
% 2.54/0.62 % (1116902)Success in time 0.395 s
% 2.54/0.62 % Vampire exiting
%------------------------------------------------------------------------------