%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP110^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:10:44 AM UTC 2026
% Result : Theorem 1.09s 0.59s
% Output : Refutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP110^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n013.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:54:21 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 1.09/0.59 % (2581785)Will run a generic schedule for satisfiability detection.
% 1.09/0.59 % (2581793)dis+10_1_sil=32000:sp=arity:random_seed=1745439295:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.09/0.59 % (2581791)% WARNING: option uhcvi not known.
% 1.09/0.59 % (2581791)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2882551807:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.09/0.59 % (2581790)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=352983460_2999 on theBenchmark for (2999ds/0Mi)
% 1.09/0.59 % (2581792)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3021408309:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.09/0.59 % (2581794)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2577118438:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.09/0.59 % (2581795)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2895232787:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.59 % (2581796)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=745973414:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.09/0.59 % (2581791)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.09/0.59 % (2581794)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.09/0.59 % (2581793)Instruction limit reached!
% 1.09/0.59 % (2581793)------------------------------
% 1.09/0.59 % (2581793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581793)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581793)Termination reason: Instruction limit
% 1.09/0.59 % (2581793)Termination phase: Saturation
% 1.09/0.59 % (2581793)Time elapsed: 0.026 s
% 1.09/0.59 % (2581793)Peak memory usage: 13 MB
% 1.09/0.59 % (2581793)Instructions burned: 105 (million)
% 1.09/0.59 % (2581804)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2879259417:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.09/0.59 % (2581791)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.09/0.59 % Exception at run slice level
% 1.09/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.09/0.59 % (2581794)Instruction limit reached!
% 1.09/0.59 % (2581794)------------------------------
% 1.09/0.59 % (2581794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581794)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581794)Termination reason: Instruction limit
% 1.09/0.59 % (2581794)Termination phase: Saturation
% 1.09/0.59 % (2581794)Time elapsed: 0.053 s
% 1.09/0.59 % (2581794)Peak memory usage: 13 MB
% 1.09/0.59 % (2581794)Instructions burned: 117 (million)
% 1.09/0.59 % Exception at run slice level
% 1.09/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.09/0.59 % (2581806)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3464740172:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.59 % (2581795)Instruction limit reached!
% 1.09/0.59 % (2581795)------------------------------
% 1.09/0.59 % (2581795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581795)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581795)Termination reason: Instruction limit
% 1.09/0.59 % (2581795)Termination phase: Saturation
% 1.09/0.59 % (2581795)Time elapsed: 0.064 s
% 1.09/0.59 % (2581795)Peak memory usage: 14 MB
% 1.09/0.59 % (2581795)Instructions burned: 131 (million)
% 1.09/0.59 % (2581807)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=850494704:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.09/0.59 % (2581809)ott-21_1_sil=16000:fs=off:random_seed=2297426309:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.09/0.59 % (2581796)Instruction limit reached!
% 1.09/0.59 % (2581796)------------------------------
% 1.09/0.59 % (2581796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581796)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581796)Termination reason: Instruction limit
% 1.09/0.59 % (2581796)Termination phase: Saturation
% 1.09/0.59 % (2581796)Time elapsed: 0.083 s
% 1.09/0.59 % (2581796)Peak memory usage: 14 MB
% 1.09/0.59 % (2581796)Instructions burned: 159 (million)
% 1.09/0.59 % (2581810)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1636730591:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.09/0.59 % (2581807)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.09/0.59 % (2581806)Instruction limit reached!
% 1.09/0.59 % (2581806)------------------------------
% 1.09/0.59 % (2581806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581806)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581806)Termination reason: Instruction limit
% 1.09/0.59 % (2581806)Termination phase: Saturation
% 1.09/0.59 % (2581806)Time elapsed: 0.033 s
% 1.09/0.59 % (2581806)Peak memory usage: 14 MB
% 1.09/0.59 % (2581806)Instructions burned: 133 (million)
% 1.09/0.59 % (2581815)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2216860954:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.09/0.59 % (2581814)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1784238614:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.09/0.59 % (2581807)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.09/0.59 % Exception at run slice level
% 1.09/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.09/0.59 % (2581818)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3172095759:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.09/0.59 % (2581809)Instruction limit reached!
% 1.09/0.59 % (2581809)------------------------------
% 1.09/0.59 % (2581809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581809)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581809)Termination reason: Instruction limit
% 1.09/0.59 % (2581809)Termination phase: Saturation
% 1.09/0.59 % (2581809)Time elapsed: 0.109 s
% 1.09/0.59 % (2581809)Peak memory usage: 13 MB
% 1.09/0.59 % (2581809)Instructions burned: 181 (million)
% 1.09/0.59 % Exception at run slice level
% 1.09/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.09/0.59 % (2581823)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=311442188: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)
% 1.09/0.59 % (2581824)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3589231722:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.09/0.59 % (2581824)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.09/0.59 % (2581823)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.09/0.59 % (2581807) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2581785-2581807"...
% 1.09/0.59 % (2581807)...printing done.
% 1.09/0.59 % (2581807)Refutation found. Thanks to Tanya!
% 1.09/0.59 % SZS status Theorem for theBenchmark
% 1.09/0.59 % SZS output start Proof for theBenchmark
% 1.09/0.59 thf(type_def_5, type, extended_ereal: $tType).
% 1.09/0.59 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 1.09/0.59 thf(type_def_7, type, real: $tType).
% 1.09/0.59 thf(type_def_8, type, set: $tType > $tType).
% 1.09/0.59 thf(type_def_9, type, a: $tType).
% 1.09/0.59 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 1.09/0.59 thf(func_def_0, type, ordere890947078_space: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_2, type, ring: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_4, type, field: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_5, type, uminus: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_6, type, ord: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_7, type, top: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_8, type, order: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_9, type, mult_zero: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_10, type, group_add: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_11, type, no_bot: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_12, type, linorder: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_13, type, preorder: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_14, type, finite_lattice: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_15, type, order_top: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_16, type, division_ring: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_17, type, semiring_bits: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_18, type, semidom_divide: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_19, type, linordered_field: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_20, type, boolean_algebra: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_21, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_22, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_23, type, real_V1076094709vector: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_24, type, euclid925273238_space: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_25, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_26, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_27, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_28, type, comple187826305attice: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_29, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_30, type, semiri1923998003cancel: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_31, type, euclid24285859cancel: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_32, type, condit378418413attice: !>[X0: $tType]:($o)).
% 1.09/0.59 thf(func_def_33, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 1.09/0.59 thf(func_def_34, type, convex: !>[X0: $tType]:((set @ X0 > $o))).
% 1.09/0.59 thf(func_def_35, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_36, type, extended_MInfty: extended_ereal).
% 1.09/0.59 thf(func_def_37, type, extended_PInfty: extended_ereal).
% 1.09/0.59 thf(func_def_38, type, extended_ereal2: (real > extended_ereal)).
% 1.09/0.59 thf(func_def_39, type, extended_rec_ereal: !>[X0: $tType]:(((real > X0) > X0 > X0 > extended_ereal > X0))).
% 1.09/0.59 thf(func_def_40, type, extend1716541707_ereal: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_41, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.09/0.59 thf(func_def_42, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.09/0.59 thf(func_def_43, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_44, type, lower_261390618igraph: !>[X0: $tType]:((set @ X0 > (X0 > extended_ereal) > set @ product_prod @ X0 @ real))).
% 1.09/0.59 thf(func_def_45, type, lower_500881736ine_on: !>[X0: $tType]:((set @ X0 > (X0 > extended_ereal) > $o))).
% 1.09/0.59 thf(func_def_46, type, lower_708069572ave_on: !>[X0: $tType]:((set @ X0 > (X0 > extended_ereal) > $o))).
% 1.09/0.59 thf(func_def_47, type, lower_673667120vex_on: !>[X0: $tType]:((set @ X0 > (X0 > extended_ereal) > $o))).
% 1.09/0.59 thf(func_def_48, type, lower_272802190domain: !>[X0: $tType]:(((X0 > extended_ereal) > set @ X0))).
% 1.09/0.59 thf(func_def_49, type, lower_728871928ite_on: !>[X0: $tType]:((set @ X0 > (X0 > extended_ereal) > $o))).
% 1.09/0.59 thf(func_def_50, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.09/0.59 thf(func_def_51, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_52, type, top_top: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_53, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.09/0.59 thf(func_def_54, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.09/0.59 thf(func_def_55, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.09/0.59 thf(func_def_56, type, f: (a > extended_ereal)).
% 1.09/0.59 thf(func_def_60, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.09/0.59 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.09/0.59 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 1.09/0.59 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_65, type, vIMP: ($o > $o > $o)).
% 1.09/0.59 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_67, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.09/0.59 thf(func_def_68, type, vNOT: ($o > $o)).
% 1.09/0.59 thf(func_def_69, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.09/0.59 thf(func_def_70, type, vOR: ($o > $o > $o)).
% 1.09/0.59 thf(func_def_71, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.09/0.59 thf(func_def_72, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.09/0.59 thf(func_def_73, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.09/0.59 thf(func_def_74, type, sP3: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_75, type, sP4: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_76, type, sP5: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_77, type, sP6: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_78, type, sP7: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_79, type, sP8: (extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_80, type, sP9: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_81, type, sP10: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_82, type, sP11: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_83, type, sP12: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_84, type, sP13: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_85, type, sP14: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_86, type, sP15: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_87, type, sP16: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_88, type, sP17: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_89, type, sP18: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_90, type, sP19: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_91, type, sP20: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_92, type, sP21: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_93, type, sP22: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_94, type, sP23: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_95, type, sP24: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_96, type, sP25: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_97, type, sP26: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_98, type, sP27: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_99, type, sP28: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_100, type, sP29: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_101, type, sP30: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_102, type, sP31: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_103, type, sP32: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_104, type, sP33: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_105, type, sP34: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 1.09/0.59 thf(func_def_106, type, sK35: !>[X0: $tType]:((set @ X0 > X0))).
% 1.09/0.59 thf(func_def_107, type, sK36: !>[X0: $tType]:(X0)).
% 1.09/0.59 thf(func_def_108, type, sK37: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_109, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_111, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_112, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_113, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.09/0.59 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.09/0.59 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_116, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_117, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.09/0.59 thf(func_def_118, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.09/0.59 thf(func_def_119, type, sK48: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 1.09/0.59 thf(func_def_120, type, sK49: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_121, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.09/0.59 thf(func_def_122, type, sK51: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > set @ X0))).
% 1.09/0.59 thf(func_def_123, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_124, type, sK53: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_125, type, sK54: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_126, type, sK55: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_127, type, sK56: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_128, type, sK57: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_129, type, sK58: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_130, type, sK59: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_131, type, sK60: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 1.09/0.59 thf(func_def_132, type, sK61: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 1.09/0.59 thf(func_def_133, type, sK62: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_134, type, sK63: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 1.09/0.59 thf(func_def_135, type, sK64: (set @ extended_ereal > extended_ereal)).
% 1.09/0.59 thf(func_def_136, type, sK65: (extended_ereal > set @ extended_ereal > extended_ereal)).
% 1.09/0.59 thf(func_def_137, type, sK66: (set @ extended_ereal > extended_ereal)).
% 1.09/0.59 thf(func_def_138, type, sK67: (extended_ereal > set @ extended_ereal > extended_ereal)).
% 1.09/0.59 thf(func_def_139, type, sK68: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_140, type, sK69: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_141, type, sK70: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_142, type, sK71: (extended_ereal > extended_ereal > real)).
% 1.09/0.59 thf(func_def_143, type, sK72: (extended_ereal > extended_ereal > real)).
% 1.09/0.59 thf(func_def_144, type, sK73: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_145, type, sK74: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_146, type, sK75: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_147, type, sK76: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_148, type, sK77: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_149, type, sK78: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_150, type, sK79: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_151, type, sK80: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_152, type, sK81: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_153, type, sK82: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_154, type, sK83: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_155, type, sK84: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_156, type, sK85: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_157, type, sK86: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_158, type, sK87: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_159, type, sK88: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_160, type, sK89: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_161, type, sK90: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_162, type, sK91: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_163, type, sK92: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_164, type, sK93: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_165, type, sK94: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_166, type, sK95: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_167, type, sK96: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_168, type, sK97: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_169, type, sK98: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_170, type, sK99: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_171, type, sK100: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_172, type, sK101: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_173, type, sK102: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_174, type, sK103: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_175, type, sK104: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_176, type, sK105: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_177, type, sK106: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_178, type, sK107: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_179, type, sK108: ((extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_180, type, sK109: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_181, type, sK110: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_182, type, sK111: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 1.09/0.59 thf(func_def_183, type, sK112: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 1.09/0.59 thf(func_def_184, type, sK113: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_185, type, sK114: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_186, type, sK115: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_187, type, sK116: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_188, type, sK117: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 1.09/0.59 thf(func_def_189, type, sK118: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 1.09/0.59 thf(func_def_190, type, sK119: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_191, type, sK120: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_192, type, sK121: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_193, type, sK122: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_194, type, sK123: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_195, type, sK124: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_196, type, sK125: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_197, type, sK126: ((extended_ereal > extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_198, type, sK127: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_199, type, sK128: ((extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_200, type, sK129: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_201, type, sK130: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_202, type, sK131: ((extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_203, type, sK132: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_204, type, sK133: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_205, type, sK134: ((extended_ereal > $o) > real)).
% 1.09/0.59 thf(func_def_206, type, sK135: (extended_ereal > real)).
% 1.09/0.59 thf(func_def_207, type, sK136: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 1.09/0.59 thf(func_def_208, type, sK137: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 1.09/0.59 thf(func_def_209, type, sK138: !>[X0: $tType]:(((X0 > extended_ereal) > (X0 > extended_ereal) > X0))).
% 1.09/0.59 thf(func_def_210, type, sK139: !>[X0: $tType]:((X0 > set @ set @ X0 > set @ X0))).
% 1.09/0.59 thf(func_def_211, type, sK140: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_212, type, sK141: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > set @ X0))).
% 1.09/0.59 thf(func_def_213, type, sK142: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_214, type, sK143: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > set @ X0))).
% 1.09/0.59 thf(func_def_215, type, sK144: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_216, type, sK145: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_217, type, sK146: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 1.09/0.59 thf(func_def_218, type, sK147: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.09/0.59 thf(func_def_219, type, sK148: !>[X0: $tType]:(((X0 > extended_ereal) > set @ X0))).
% 1.09/0.59 thf(func_def_220, type, sK149: !>[X0: $tType]:(((X0 > extended_ereal) > set @ X0))).
% 1.09/0.59 thf(f1,axiom,(
% 1.09/0.59 (convex @ a @ (lower_272802190domain @ a @ f)) => (lower_673667120vex_on @ a @ top_top @ set @ a @ f)),
% 1.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062convex_A_Idomain_Af_J_A_092_060Longrightarrow_062_ALower__Semicontinuous__Mirabelle__quczrylfpw_Oconvex__on_AUNIV_Af_092_060close_062)).
% 1.09/0.59 thf(f2,axiom,(
% 1.09/0.59 ! [X0 : $tType] : (euclid925273238_space @ X0 => ! [X1 : (X0 > extended_ereal)] : ((lower_673667120vex_on @ X0 @ top_top @ set @ X0 @ X1) => (convex @ X0 @ (lower_272802190domain @ X0 @ X1))))),
% 1.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_convex__domain)).
% 1.09/0.59 thf(f341,axiom,(
% 1.09/0.59 euclid925273238_space @ a),
% 1.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 1.09/0.59 thf(f342,conjecture,(
% 1.09/0.59 (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = ((convex @ a @ (lower_272802190domain @ a @ f))))),
% 1.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.09/0.59 thf(f343,negated_conjecture,(
% 1.09/0.59 ~ (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = ((convex @ a @ (lower_272802190domain @ a @ f))))),
% 1.09/0.59 inference(negated_conjecture,[status(cth)],[f342])).
% 1.09/0.59 thf(f344,plain,(
% 1.09/0.59 (convex @ a @ (lower_272802190domain @ a @ f)) => (lower_673667120vex_on @ a @ top_top @ set @ a @ f)),
% 1.09/0.59 inference(rectify,[],[f1])).
% 1.09/0.59 thf(f345,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $true) => (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true)),
% 1.09/0.59 inference(fool_elimination,[],[f344])).
% 1.09/0.59 thf(f346,plain,(
% 1.09/0.59 ! [X0 : $tType] : (euclid925273238_space @ X0 => ! [X1 : (X0 > extended_ereal)] : ((lower_673667120vex_on @ X0 @ top_top @ set @ X0 @ X1) => (convex @ X0 @ (lower_272802190domain @ X0 @ X1))))),
% 1.09/0.59 inference(rectify,[],[f2])).
% 1.09/0.59 thf(f347,plain,(
% 1.09/0.59 ! [X0 : $tType] : ((euclid925273238_space @ X0 = $true) => ! [X1 : (X0 > extended_ereal)] : ((((lower_673667120vex_on @ X0 @ top_top @ set @ X0 @ X1)) = $true) => (((convex @ X0 @ (lower_272802190domain @ X0 @ X1))) = $true)))),
% 1.09/0.59 inference(fool_elimination,[],[f346])).
% 1.09/0.59 thf(f903,plain,(
% 1.09/0.59 euclid925273238_space @ a),
% 1.09/0.59 inference(rectify,[],[f341])).
% 1.09/0.59 thf(f904,plain,(
% 1.09/0.59 (euclid925273238_space @ a = $true)),
% 1.09/0.59 inference(fool_elimination,[],[f903])).
% 1.09/0.59 thf(f915,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) != ((lower_673667120vex_on @ a @ top_top @ set @ a @ f)))),
% 1.09/0.59 inference(flattening,[],[f343])).
% 1.09/0.59 thf(f916,plain,(
% 1.09/0.59 (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true) | (((convex @ a @ (lower_272802190domain @ a @ f))) != $true)),
% 1.09/0.59 inference(ennf_transformation,[],[f345])).
% 1.09/0.59 thf(f917,plain,(
% 1.09/0.59 ! [X0 : $tType] : (! [X1 : (X0 > extended_ereal)] : ((((convex @ X0 @ (lower_272802190domain @ X0 @ X1))) = $true) | (((lower_673667120vex_on @ X0 @ top_top @ set @ X0 @ X1)) != $true)) | (euclid925273238_space @ X0 != $true))),
% 1.09/0.59 inference(ennf_transformation,[],[f347])).
% 1.09/0.59 thf(f1377,plain,(
% 1.09/0.59 (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true) | (((convex @ a @ (lower_272802190domain @ a @ f))) != $true)),
% 1.09/0.59 inference(cnf_transformation,[],[f916])).
% 1.09/0.59 thf(f1378,plain,(
% 1.09/0.59 ( ! [X0 : $tType,X1 : (X0 > extended_ereal)] : ((((lower_673667120vex_on @ X0 @ top_top @ set @ X0 @ X1)) != $true) | (((convex @ X0 @ (lower_272802190domain @ X0 @ X1))) = $true) | (euclid925273238_space @ X0 != $true)) )),
% 1.09/0.59 inference(cnf_transformation,[],[f917])).
% 1.09/0.59 thf(f1872,plain,(
% 1.09/0.59 (euclid925273238_space @ a = $true)),
% 1.09/0.59 inference(cnf_transformation,[],[f904])).
% 1.09/0.59 thf(f1873,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) != ((lower_673667120vex_on @ a @ top_top @ set @ a @ f)))),
% 1.09/0.59 inference(cnf_transformation,[],[f915])).
% 1.09/0.59 thf(f1903,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $true) | (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true)),
% 1.09/0.59 inference(xor_proxy_clausification,[],[f1873])).
% 1.09/0.59 thf(f1904,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $false) | (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $false)),
% 1.09/0.59 inference(xor_proxy_clausification,[],[f1873])).
% 1.09/0.59 thf(f2311,definition,(
% 1.09/0.59 spl150_1 <=> (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $false)),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[spl150_1])],[avatar_definition])).
% 1.09/0.59 thf(f2313,plain,(
% 1.09/0.59 (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $false) | ~spl150_1),
% 1.09/0.59 inference(avatar_component_clause,[],[f2311])).
% 1.09/0.59 thf(f2315,definition,(
% 1.09/0.59 spl150_2 <=> (((convex @ a @ (lower_272802190domain @ a @ f))) = $false)),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[spl150_2])],[avatar_definition])).
% 1.09/0.59 thf(f2317,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $false) | ~spl150_2),
% 1.09/0.59 inference(avatar_component_clause,[],[f2315])).
% 1.09/0.59 thf(f2318,plain,(
% 1.09/0.59 spl150_1 | spl150_2),
% 1.09/0.59 inference(avatar_split_clause,[],[f1904,f2315,f2311])).
% 1.09/0.59 thf(f2320,definition,(
% 1.09/0.59 spl150_3 <=> (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true)),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[spl150_3])],[avatar_definition])).
% 1.09/0.59 thf(f2322,plain,(
% 1.09/0.59 (((lower_673667120vex_on @ a @ top_top @ set @ a @ f)) = $true) | ~spl150_3),
% 1.09/0.59 inference(avatar_component_clause,[],[f2320])).
% 1.09/0.59 thf(f2324,definition,(
% 1.09/0.59 spl150_4 <=> (((convex @ a @ (lower_272802190domain @ a @ f))) = $true)),
% 1.09/0.59 introduced(definition,[new_symbols(definition,[spl150_4])],[avatar_definition])).
% 1.09/0.59 thf(f2327,plain,(
% 1.09/0.59 spl150_3 | spl150_4),
% 1.09/0.59 inference(avatar_split_clause,[],[f1903,f2324,f2320])).
% 1.09/0.59 thf(f2344,plain,(
% 1.09/0.59 ~spl150_4 | spl150_3),
% 1.09/0.59 inference(avatar_split_clause,[],[f1377,f2320,f2324])).
% 1.09/0.59 thf(f5732,plain,(
% 1.09/0.59 ($true != $true) | (((convex @ a @ (lower_272802190domain @ a @ f))) = $true) | (euclid925273238_space @ a != $true) | ~spl150_3),
% 1.09/0.59 inference(constrained_superposition,[],[f1378,f2322])).
% 1.09/0.59 thf(f5733,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $true) | (euclid925273238_space @ a != $true) | ~spl150_3),
% 1.09/0.59 inference(trivial_inequality_removal,[],[f5732])).
% 1.09/0.59 thf(f5735,plain,(
% 1.09/0.59 (((convex @ a @ (lower_272802190domain @ a @ f))) = $true) | ~spl150_3),
% 1.09/0.59 inference(forward_subsumption_resolution,[],[f5733,f1872])).
% 1.09/0.59 thf(f5736,plain,(
% 1.09/0.59 ($true = $false) | (~spl150_2 | ~spl150_3)),
% 1.09/0.59 inference(forward_demodulation,[],[f5735,f2317])).
% 1.09/0.59 thf(f5737,plain,(
% 1.09/0.59 $false | (~spl150_2 | ~spl150_3)),
% 1.09/0.59 inference(trivial_inequality_removal,[],[f5736])).
% 1.09/0.59 thf(f5738,plain,(
% 1.09/0.59 ~spl150_2 | ~spl150_3),
% 1.09/0.59 inference(avatar_contradiction_clause,[],[f5737])).
% 1.09/0.59 thf(f5742,plain,(
% 1.09/0.59 ($true = $false) | (~spl150_1 | ~spl150_3)),
% 1.09/0.59 inference(constrained_superposition,[],[f2313,f2322])).
% 1.09/0.59 thf(f5747,plain,(
% 1.09/0.59 $false | (~spl150_1 | ~spl150_3)),
% 1.09/0.59 inference(trivial_inequality_removal,[],[f5742])).
% 1.09/0.59 thf(f5748,plain,(
% 1.09/0.59 ~spl150_1 | ~spl150_3),
% 1.09/0.59 inference(avatar_contradiction_clause,[],[f5747])).
% 1.09/0.59 cnf(s1, plain, spl150_1 | spl150_2, inference(sat_conversion,[],[f2318])).
% 1.09/0.59 cnf(s2, plain, spl150_3 | spl150_4, inference(sat_conversion,[],[f2327])).
% 1.09/0.59 cnf(s7, plain, spl150_3 | ~spl150_4, inference(sat_conversion,[],[f2344])).
% 1.09/0.59 cnf(s10, plain, ~spl150_2 | ~spl150_3, inference(sat_conversion,[],[f5738])).
% 1.09/0.59 cnf(s12, plain, ~spl150_1 | ~spl150_3, inference(sat_conversion,[],[f5748])).
% 1.09/0.59 cnf(s14, plain, spl150_3, inference(rat,[],[s2,s7])).
% 1.09/0.59 cnf(s15, plain, ~spl150_1, inference(rat,[],[s12,s14])).
% 1.09/0.59 cnf(s16, plain, ~spl150_2, inference(rat,[],[s10,s14])).
% 1.09/0.59 cnf(s17, plain, $false, inference(rat,[],[s1,s16,s15])).
% 1.09/0.59 thf(f5750,plain,(
% 1.09/0.59 $false),
% 1.09/0.59 inference(avatar_sat_refutation,[],[s17])).
% 1.09/0.59 % SZS output end Proof for theBenchmark
% 1.09/0.59 % (2581807)------------------------------
% 1.09/0.59 % (2581807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.59 % (2581807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.59 % (2581807)CaDiCaL version: 2.1.3
% 1.09/0.59 % (2581807)Termination reason: Refutation
% 1.09/0.59 % (2581807)Time elapsed: 0.215 s
% 1.09/0.59 % (2581807)Peak memory usage: 16 MB
% 1.09/0.59 % (2581807)Instructions burned: 395 (million)
% 1.09/0.59 % (2581785)Success in time 0.347 s
% 1.09/0.59 % Vampire exiting
%------------------------------------------------------------------------------