%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP023^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 08:10:23 AM UTC 2026
% Result : Theorem 0.96s 0.40s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP023^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n005.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 19:35:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/0.40 % (2109521)Will run a generic schedule for satisfiability detection.
% 0.96/0.40 % (2109540)dis+10_1_sil=32000:sp=arity:random_seed=1748944416:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.96/0.40 % (2109538)% WARNING: option uhcvi not known.
% 0.96/0.40 % (2109538)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1780839113:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.96/0.40 % (2109537)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1809643533_2999 on theBenchmark for (2999ds/0Mi)
% 0.96/0.40 % (2109539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=394445962:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.96/0.40 % (2109541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=139330448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.96/0.40 % (2109543)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1087883569:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.96/0.40 % (2109542)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1350362184:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.40 % (2109538)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.40 % (2109541)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.40 % (2109538)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.96/0.40 % Exception at run slice level
% 0.96/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.40 % (2109540)Instruction limit reached!
% 0.96/0.40 % (2109540)------------------------------
% 0.96/0.40 % (2109540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109540)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109540)Termination reason: Instruction limit
% 0.96/0.40 % (2109540)Termination phase: Saturation
% 0.96/0.40 % (2109540)Time elapsed: 0.029 s
% 0.96/0.40 % (2109540)Peak memory usage: 12 MB
% 0.96/0.40 % (2109540)Instructions burned: 107 (million)
% 0.96/0.40 % (2109562)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3345147451:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.96/0.40 % (2109568)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3233855323:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.40 % Exception at run slice level
% 0.96/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.40 % (2109541)Instruction limit reached!
% 0.96/0.40 % (2109541)------------------------------
% 0.96/0.40 % (2109541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109541)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109541)Termination reason: Instruction limit
% 0.96/0.40 % (2109541)Termination phase: Saturation
% 0.96/0.40 % (2109541)Time elapsed: 0.058 s
% 0.96/0.40 % (2109541)Peak memory usage: 12 MB
% 0.96/0.40 % (2109541)Instructions burned: 116 (million)
% 0.96/0.40 % (2109579)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=4222918030:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.96/0.40 % (2109542)Instruction limit reached!
% 0.96/0.40 % (2109542)------------------------------
% 0.96/0.40 % (2109542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109542)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109542)Termination reason: Instruction limit
% 0.96/0.40 % (2109542)Termination phase: Saturation
% 0.96/0.40 % (2109542)Time elapsed: 0.064 s
% 0.96/0.40 % (2109542)Peak memory usage: 13 MB
% 0.96/0.40 % (2109542)Instructions burned: 132 (million)
% 0.96/0.40 % (2109568)Instruction limit reached!
% 0.96/0.40 % (2109568)------------------------------
% 0.96/0.40 % (2109568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109568)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109568)Termination reason: Instruction limit
% 0.96/0.40 % (2109568)Termination phase: Saturation
% 0.96/0.40 % (2109568)Time elapsed: 0.035 s
% 0.96/0.40 % (2109568)Peak memory usage: 13 MB
% 0.96/0.40 % (2109568)Instructions burned: 133 (million)
% 0.96/0.40 % (2109579)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.40 % (2109586)ott-21_1_sil=16000:fs=off:random_seed=3436816282:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.96/0.40 % (2109579)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.96/0.40 % (2109592)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4198855980:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.96/0.40 % (2109543)Instruction limit reached!
% 0.96/0.40 % (2109543)------------------------------
% 0.96/0.40 % (2109543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109543)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109543)Termination reason: Instruction limit
% 0.96/0.40 % (2109543)Termination phase: Saturation
% 0.96/0.40 % (2109543)Time elapsed: 0.079 s
% 0.96/0.40 % (2109543)Peak memory usage: 13 MB
% 0.96/0.40 % (2109543)Instructions burned: 159 (million)
% 0.96/0.40 % (2109590)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=755071643:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.96/0.40 % Exception at run slice level
% 0.96/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.40 % (2109605)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=777435666:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.96/0.40 % (2109600)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=457650771:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.96/0.40 % Exception at run slice level
% 0.96/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.40 % (2109615)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=3297688920:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 0.96/0.40 % (2109615)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.40 % (2109538) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2109521-2109538"...
% 0.96/0.40 % (2109538)...printing done.
% 0.96/0.40 % (2109538)Refutation found. Thanks to Tanya!
% 0.96/0.40 % SZS status Theorem for theBenchmark
% 0.96/0.40 % SZS output start Proof for theBenchmark
% 0.96/0.40 thf(type_def_5, type, u: $tType).
% 0.96/0.40 thf(type_def_6, type, d: $tType).
% 0.96/0.40 thf(type_def_7, type, du: $tType).
% 0.96/0.40 thf(type_def_8, type, mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType).
% 0.96/0.40 thf(type_def_9, type, mono_2Etyop_2Erealax_2Ereal: $tType).
% 0.96/0.40 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.96/0.40 thf(func_def_0, type, tyop_2Emin_2Ebool: d).
% 0.96/0.40 thf(func_def_1, type, tyop_2Emin_2Efun: (d > d > d)).
% 0.96/0.40 thf(func_def_2, type, tyop_2Epair_2Eprod: (d > d > d)).
% 0.96/0.40 thf(func_def_3, type, tyop_2Erealax_2Ereal: d).
% 0.96/0.40 thf(func_def_4, type, s: (d > u > du)).
% 0.96/0.40 thf(func_def_5, type, app_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_6, type, combin_i_2E0: u).
% 0.96/0.40 thf(func_def_7, type, combin_k_2E0: u).
% 0.96/0.40 thf(func_def_8, type, combin_s_2E0: u).
% 0.96/0.40 thf(func_def_9, type, c_2Ebool_2E_21_2E0: u).
% 0.96/0.40 thf(func_def_10, type, c_2Ebool_2E_21_2E1: (du > u)).
% 0.96/0.40 thf(func_def_11, type, c_2Epair_2E_2C_2E0: u).
% 0.96/0.40 thf(func_def_12, type, c_2Epair_2E_2C_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_13, type, c_2Ebool_2E_2F_5C_2E0: u).
% 0.96/0.40 thf(func_def_14, type, c_2Ebool_2E_2F_5C_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_15, type, c_2Emin_2E_3D_2E0: u).
% 0.96/0.40 thf(func_def_16, type, c_2Emin_2E_3D_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_17, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 0.96/0.40 thf(func_def_18, type, c_2Emin_2E_3D_3D_3E_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_19, type, c_2Ebool_2E_3F_2E0: u).
% 0.96/0.40 thf(func_def_20, type, c_2Ebool_2E_3F_2E1: (du > u)).
% 0.96/0.40 thf(func_def_21, type, c_2Ebool_2EF_2E0: u).
% 0.96/0.40 thf(func_def_22, type, c_2Epred__set_2ESUBSET_2E0: u).
% 0.96/0.40 thf(func_def_23, type, c_2Epred__set_2ESUBSET_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_24, type, c_2Ebool_2ET_2E0: u).
% 0.96/0.40 thf(func_def_25, type, c_2Ebool_2E_5C_2F_2E0: u).
% 0.96/0.40 thf(func_def_26, type, c_2Ebool_2E_5C_2F_2E2: (du > du > u)).
% 0.96/0.40 thf(func_def_27, type, c_2Ereal__topology_2Eball_2E0: u).
% 0.96/0.40 thf(func_def_28, type, c_2Ereal__topology_2Eball_2E1: (du > u)).
% 0.96/0.40 thf(func_def_29, type, c_2Ereal__topology_2Ebounded__def_2E0: u).
% 0.96/0.40 thf(func_def_30, type, c_2Ereal__topology_2Ebounded__def_2E1: (du > u)).
% 0.96/0.40 thf(func_def_31, type, c_2Ereal__topology_2Ecball_2E0: u).
% 0.96/0.40 thf(func_def_32, type, c_2Ereal__topology_2Ecball_2E1: (du > u)).
% 0.96/0.40 thf(func_def_33, type, c_2Ebool_2E_7E_2E0: u).
% 0.96/0.40 thf(func_def_34, type, c_2Ebool_2E_7E_2E1: (du > u)).
% 0.96/0.40 thf(func_def_35, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: (($o > $o) > $o > $o)).
% 0.96/0.40 thf(func_def_36, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (($o > $o > $o) > $o > $o > $o)).
% 0.96/0.40 thf(func_def_37, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: (((mono_2Etyop_2Erealax_2Ereal > $o) > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_38, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_39, type, mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o)).
% 0.96/0.40 thf(func_def_40, type, mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ((mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_41, type, mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ((mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_42, type, mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: (mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_43, type, mono_2Ec_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.96/0.40 thf(func_def_44, type, mono_2Ec_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.96/0.40 thf(func_def_45, type, mono_2Ec_2Ebool_2EF: $o).
% 0.96/0.40 thf(func_def_46, type, mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal: ((mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_47, type, mono_2Ec_2Ebool_2ET: $o).
% 0.96/0.40 thf(func_def_48, type, mono_2Ec_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.96/0.40 thf(func_def_49, type, mono_2Ec_2Ereal__topology_2Eball: (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o)).
% 0.96/0.40 thf(func_def_50, type, mono_2Ec_2Ereal__topology_2Ebounded__def: ((mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_51, type, mono_2Ec_2Ereal__topology_2Ecball: (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o)).
% 0.96/0.40 thf(func_def_52, type, mono_2Ec_2Ebool_2E_7E: ($o > $o)).
% 0.96/0.40 thf(func_def_53, type, i_mono_2Etyop_2Emin_2Ebool: ($o > u)).
% 0.96/0.40 thf(func_def_54, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (($o > $o) > u)).
% 0.96/0.40 thf(func_def_55, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (($o > $o > $o) > u)).
% 0.96/0.40 thf(func_def_56, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Erealax_2Ereal > $o) > $o) > u)).
% 0.96/0.40 thf(func_def_57, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o) > u)).
% 0.96/0.40 thf(func_def_58, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o) > u)).
% 0.96/0.40 thf(func_def_59, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Erealax_2Ereal > $o) > u)).
% 0.96/0.40 thf(func_def_60, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: ((mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > u)).
% 0.96/0.40 thf(func_def_61, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ((mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > u)).
% 0.96/0.40 thf(func_def_62, type, i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > u)).
% 0.96/0.40 thf(func_def_63, type, i_mono_2Etyop_2Erealax_2Ereal: (mono_2Etyop_2Erealax_2Ereal > u)).
% 0.96/0.40 thf(func_def_64, type, j_mono_2Etyop_2Emin_2Ebool: (du > $o)).
% 0.96/0.40 thf(func_def_65, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (du > $o > $o)).
% 0.96/0.40 thf(func_def_66, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (du > $o > $o > $o)).
% 0.96/0.40 thf(func_def_67, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (du > (mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_68, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o)).
% 0.96/0.40 thf(func_def_69, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: (du > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o)).
% 0.96/0.40 thf(func_def_70, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: (du > mono_2Etyop_2Erealax_2Ereal > $o)).
% 0.96/0.40 thf(func_def_71, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: (du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_72, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: (du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_73, type, j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: (du > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.96/0.40 thf(func_def_74, type, j_mono_2Etyop_2Erealax_2Ereal: (du > mono_2Etyop_2Erealax_2Ereal)).
% 0.96/0.40 thf(func_def_76, type, vNOT: ($o > $o)).
% 0.96/0.40 thf(func_def_79, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.40 thf(func_def_80, type, db0: !>[X0: $tType]:(X0)).
% 0.96/0.40 thf(func_def_81, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.96/0.40 thf(func_def_82, type, vAND: ($o > $o > $o)).
% 0.96/0.40 thf(func_def_83, type, vOR: ($o > $o > $o)).
% 0.96/0.40 thf(func_def_84, type, sP0: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_85, type, sP1: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_86, type, sP2: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_87, type, sP3: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_88, type, sP4: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_89, type, sP5: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_90, type, sP6: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_91, type, sP7: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_92, type, sP8: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_93, type, sP9: ($o > $o > $o > $o)).
% 0.96/0.40 thf(func_def_94, type, sK10: (u > u > d > d > u)).
% 0.96/0.40 thf(func_def_95, type, sK11: (u > d > u)).
% 0.96/0.40 thf(func_def_96, type, sK12: (u > d > u)).
% 0.96/0.40 thf(func_def_97, type, sK13: (u > d > u)).
% 0.96/0.40 thf(func_def_98, type, sK14: mono_2Etyop_2Erealax_2Ereal).
% 0.96/0.40 thf(func_def_99, type, sK15: mono_2Etyop_2Erealax_2Ereal).
% 0.96/0.40 thf(func_def_100, type, sK16: (u > d > u)).
% 0.96/0.40 thf(f56,axiom,(
% 0.96/0.40 ! [X0 : $o,X1 : $o] : ((X0 => X1) => ((X1 => X0) => (X0 = X1)))),
% 0.96/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__ANTISYM__AX)).
% 0.96/0.40 thf(f67,axiom,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBALL__SUBSET__CBALL)).
% 0.96/0.40 thf(f68,axiom,(
% 0.96/0.40 ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : (((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1) & (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) => (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0))),
% 0.96/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__SUBSET)).
% 0.96/0.40 thf(f69,axiom,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__CBALL)).
% 0.96/0.40 thf(f80,conjecture,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__BALL)).
% 0.96/0.40 thf(f81,negated_conjecture,(
% 0.96/0.40 ~ ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 inference(negated_conjecture,[status(cth)],[f80])).
% 0.96/0.40 thf(f100,plain,(
% 0.96/0.40 ! [X0 : $o,X1 : $o] : ((X0 => X1) => ((X1 => X0) => (X0 = X1)))),
% 0.96/0.40 inference(rectify,[],[f56])).
% 0.96/0.40 thf(f101,plain,(
% 0.96/0.40 ! [X0 : $o,X1 : $o] : ((($true = X0) => ($true = X1)) => ((($true = X1) => ($true = X0)) => (X0 = X1)))),
% 0.96/0.40 inference(fool_elimination,[],[f100])).
% 0.96/0.40 thf(f120,plain,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 inference(rectify,[],[f67])).
% 0.96/0.40 thf(f121,plain,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.96/0.40 inference(fool_elimination,[],[f120])).
% 0.96/0.40 thf(f122,plain,(
% 0.96/0.40 ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : (((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1) & (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) => (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0))),
% 0.96/0.40 inference(rectify,[],[f68])).
% 0.96/0.40 thf(f123,plain,(
% 0.96/0.40 ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : (((((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) = $true) & (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) = $true)) => (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) = $true))),
% 0.96/0.40 inference(fool_elimination,[],[f122])).
% 0.96/0.40 thf(f124,plain,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 inference(rectify,[],[f69])).
% 0.96/0.40 thf(f125,plain,(
% 0.96/0.40 ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.96/0.40 inference(fool_elimination,[],[f124])).
% 0.96/0.40 thf(f146,plain,(
% 0.96/0.40 ~ ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.96/0.40 inference(rectify,[],[f81])).
% 0.96/0.40 thf(f147,plain,(
% 0.96/0.40 ~ ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.96/0.40 inference(fool_elimination,[],[f146])).
% 0.96/0.40 thf(f151,plain,(
% 0.96/0.40 ! [X0 : $o,X1 : $o] : (((X0 = X1) | (($true != X0) & ($true = X1))) | (($true != X1) & ($true = X0)))),
% 0.96/0.40 inference(ennf_transformation,[],[f101])).
% 0.96/0.40 thf(f152,plain,(
% 0.96/0.40 ! [X0 : $o,X1 : $o] : ((X0 = X1) | (($true != X0) & ($true = X1)) | (($true != X1) & ($true = X0)))),
% 0.96/0.40 inference(flattening,[],[f151])).
% 0.96/0.40 thf(f157,plain,(
% 0.96/0.40 ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : ((((mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) = $true) | ((((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) != $true)))),
% 0.96/0.40 inference(ennf_transformation,[],[f123])).
% 0.96/0.40 thf(f158,plain,(
% 0.96/0.40 ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : ((((mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) = $true) | (((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) != $true))),
% 0.96/0.40 inference(flattening,[],[f157])).
% 0.96/0.40 thf(f168,plain,(
% 0.96/0.40 ? [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)),
% 0.96/0.40 inference(ennf_transformation,[],[f147])).
% 0.96/0.40 thf(f253,plain,(
% 0.96/0.40 ($true != ((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK14 @ sK15)))))),
% 0.96/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f168])).
% 0.96/0.40 thf(f319,plain,(
% 0.96/0.40 ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | ($true = X1) | ($true = X0)) )),
% 0.96/0.40 inference(cnf_transformation,[],[f152])).
% 0.96/0.40 thf(f372,plain,(
% 0.96/0.40 ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ((((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.96/0.40 inference(cnf_transformation,[],[f121])).
% 0.96/0.40 thf(f373,plain,(
% 0.96/0.40 ( ! [X0 : (mono_2Etyop_2Erealax_2Ereal > $o),X1 : (mono_2Etyop_2Erealax_2Ereal > $o)] : ((((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) = $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) != $true)) )),
% 0.96/0.40 inference(cnf_transformation,[],[f158])).
% 0.96/0.40 thf(f374,plain,(
% 0.96/0.40 ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ((((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.96/0.40 inference(cnf_transformation,[],[f125])).
% 0.96/0.40 thf(f473,plain,(
% 0.96/0.40 ($true != ((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK14 @ sK15)))))),
% 0.96/0.40 inference(cnf_transformation,[],[f253])).
% 0.96/0.40 thf(f474,definition,(
% 0.96/0.40 ($true != $false)),
% 0.96/0.40 introduced(theory,[fool_distinctness_axiom])).
% 0.96/0.40 thf(f758,plain,(
% 0.96/0.40 ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($true = X1) | ($true = X0) | ($false = X1)) )),
% 0.96/0.40 inference(iff_proxy_clausification,[],[f319])).
% 0.96/0.40 thf(f761,plain,(
% 0.96/0.40 ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($true = X1) | ($false = X1)) )),
% 0.96/0.40 inference(duplicate_literal_removal,[],[f758])).
% 0.96/0.40 thf(f777,definition,(
% 0.96/0.40 spl17_1 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 0.96/0.40 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 0.96/0.40 thf(f778,plain,(
% 0.96/0.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl17_1),
% 0.96/0.40 inference(avatar_component_clause,[],[f777])).
% 0.96/0.40 thf(f786,definition,(
% 0.96/0.40 spl17_3 <=> ! [X0 : $o] : ($true = X0)),
% 0.96/0.40 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 0.96/0.40 thf(f787,plain,(
% 0.96/0.40 ( ! [X0 : $o] : (($true = X0)) ) | ~spl17_3),
% 0.96/0.40 inference(avatar_component_clause,[],[f786])).
% 0.96/0.40 thf(f818,plain,(
% 0.96/0.40 spl17_1 | spl17_3),
% 0.96/0.40 inference(avatar_split_clause,[],[f761,f786,f777])).
% 0.96/0.40 thf(f821,plain,(
% 0.96/0.40 ($true != $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK14 @ sK15)))) = $false) | ~spl17_1),
% 0.96/0.40 inference(constrained_superposition,[],[f473,f778])).
% 0.96/0.40 thf(f825,plain,(
% 0.96/0.40 (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK14 @ sK15)))) = $false) | ~spl17_1),
% 0.96/0.40 inference(trivial_inequality_removal,[],[f821])).
% 0.96/0.40 thf(f1572,plain,(
% 0.96/0.40 ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (($true != $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)) )),
% 0.96/0.40 inference(constrained_superposition,[],[f373,f372])).
% 0.96/0.40 thf(f1573,plain,(
% 0.96/0.40 ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ((((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true) | (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)) )),
% 0.96/0.40 inference(trivial_inequality_removal,[],[f1572])).
% 0.96/0.40 thf(f1574,plain,(
% 0.96/0.40 ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ((((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ (mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.96/0.40 inference(forward_subsumption_resolution,[],[f1573,f374])).
% 0.96/0.40 thf(f2266,plain,(
% 0.96/0.40 $false | ~spl17_3),
% 0.96/0.40 inference(backward_subsumption_resolution,[],[f474,f787])).
% 0.96/0.40 thf(f2444,plain,(
% 0.96/0.40 ~spl17_3),
% 0.96/0.40 inference(avatar_contradiction_clause,[],[f2266])).
% 0.96/0.40 thf(f2697,plain,(
% 0.96/0.40 ($true = $false) | ~spl17_1),
% 0.96/0.40 inference(constrained_superposition,[],[f1574,f825])).
% 0.96/0.40 thf(f2701,plain,(
% 0.96/0.40 $false | ~spl17_1),
% 0.96/0.40 inference(trivial_inequality_removal,[],[f2697])).
% 0.96/0.40 thf(f2702,plain,(
% 0.96/0.40 ~spl17_1),
% 0.96/0.40 inference(avatar_contradiction_clause,[],[f2701])).
% 0.96/0.40 cnf(s33, plain, spl17_1 | spl17_3, inference(sat_conversion,[],[f818])).
% 0.96/0.40 cnf(s51, plain, ~spl17_3, inference(sat_conversion,[],[f2444])).
% 0.96/0.40 cnf(s55, plain, ~spl17_1, inference(sat_conversion,[],[f2702])).
% 0.96/0.40 cnf(s59, plain, $false, inference(rat,[],[s33,s51,s55])).
% 0.96/0.40 thf(f2703,plain,(
% 0.96/0.40 $false),
% 0.96/0.40 inference(avatar_sat_refutation,[],[s59])).
% 0.96/0.40 % SZS output end Proof for theBenchmark
% 0.96/0.40 % (2109538)------------------------------
% 0.96/0.40 % (2109538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (2109538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (2109538)CaDiCaL version: 2.1.3
% 0.96/0.40 % (2109538)Termination reason: Refutation
% 0.96/0.40 % (2109538)Time elapsed: 0.140 s
% 0.96/0.40 % (2109538)Peak memory usage: 14 MB
% 0.96/0.40 % (2109538)Instructions burned: 273 (million)
% 0.96/0.40 % (2109521)Success in time 0.182 s
% 0.96/0.40 % Vampire exiting
%------------------------------------------------------------------------------