%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP115^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:08:24 AM UTC 2026
% Result : Theorem 0.69s 0.40s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP115^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:55:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.40 % (1761729)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.69/0.40 % (1761740)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.69/0.40 % (1761740)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.69/0.40 % (1761739)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1743851830:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.69/0.40 % (1761738)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3770466745:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.69/0.40 % (1761736)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2162435738:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.69/0.40 % (1761735)lrs+10_16_si=on:nwc=1.5:random_seed=3213310785:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.69/0.40 % (1761737)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2862878042:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.69/0.40 % (1761740)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1478016685:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.69/0.40 % (1761736)Instruction limit reached!
% 0.69/0.40 % (1761736)------------------------------
% 0.69/0.40 % (1761736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761736)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761736)Termination reason: Instruction limit
% 0.69/0.40 % (1761736)Termination phase: shuffling
% 0.69/0.40 % (1761736)Time elapsed: 0.003 s
% 0.69/0.40 % (1761736)Peak memory usage: 10 MB
% 0.69/0.40 % (1761736)Instructions burned: 6 (million)
% 0.69/0.40 % (1761734)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2585111025:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.69/0.40 % (1761735)Instruction limit reached!
% 0.69/0.40 % (1761735)------------------------------
% 0.69/0.40 % (1761735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761735)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761735)Termination reason: Instruction limit
% 0.69/0.40 % (1761735)Termination phase: Property scanning
% 0.69/0.40 % (1761735)Time elapsed: 0.010 s
% 0.69/0.40 % (1761735)Peak memory usage: 10 MB
% 0.69/0.40 % (1761735)Instructions burned: 20 (million)
% 0.69/0.40 % (1761738)Instruction limit reached!
% 0.69/0.40 % (1761738)------------------------------
% 0.69/0.40 % (1761738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761738)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761738)Termination reason: Instruction limit
% 0.69/0.40 % (1761738)Termination phase: Property scanning
% 0.69/0.40 % (1761738)Time elapsed: 0.012 s
% 0.69/0.40 % (1761738)Peak memory usage: 10 MB
% 0.69/0.40 % (1761738)Instructions burned: 24 (million)
% 0.69/0.40 % (1761747)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2909870091:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.40 % (1761747)Instruction limit reached!
% 0.69/0.40 % (1761747)------------------------------
% 0.69/0.40 % (1761747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761747)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761747)Termination reason: Instruction limit
% 0.69/0.40 % (1761747)Termination phase: shuffling
% 0.69/0.40 % (1761747)Time elapsed: 0.003 s
% 0.69/0.40 % (1761747)Peak memory usage: 10 MB
% 0.69/0.40 % (1761747)Instructions burned: 5 (million)
% 0.69/0.40 % (1761750)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.40 % (1761749)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2922543511:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.69/0.40 % (1761750)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2359772232:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.69/0.40 % (1761749)Instruction limit reached!
% 0.69/0.40 % (1761749)------------------------------
% 0.69/0.40 % (1761749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761749)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761749)Termination reason: Instruction limit
% 0.69/0.40 % (1761749)Termination phase: shuffling
% 0.69/0.40 % (1761749)Time elapsed: 0.003 s
% 0.69/0.40 % (1761749)Peak memory usage: 10 MB
% 0.69/0.40 % (1761749)Instructions burned: 6 (million)
% 0.69/0.40 % (1761750)Instruction limit reached!
% 0.69/0.40 % (1761750)------------------------------
% 0.69/0.40 % (1761750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761750)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761750)Termination reason: Instruction limit
% 0.69/0.40 % (1761750)Termination phase: shuffling
% 0.69/0.40 % (1761750)Time elapsed: 0.003 s
% 0.69/0.40 % (1761750)Peak memory usage: 10 MB
% 0.69/0.40 % (1761750)Instructions burned: 7 (million)
% 0.69/0.40 % (1761739)Instruction limit reached!
% 0.69/0.40 % (1761739)------------------------------
% 0.69/0.40 % (1761739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761739)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761739)Termination reason: Instruction limit
% 0.69/0.40 % (1761739)Termination phase: Property scanning
% 0.69/0.40 % (1761739)Time elapsed: 0.035 s
% 0.69/0.40 % (1761739)Peak memory usage: 12 MB
% 0.69/0.40 % (1761739)Instructions burned: 76 (million)
% 0.69/0.40 % (1761752)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3865388250:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.69/0.40 % (1761755)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.69/0.40 % (1761755)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.40 % (1761755)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2981671854:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.69/0.40 % (1761752)Instruction limit reached!
% 0.69/0.40 % (1761752)------------------------------
% 0.69/0.40 % (1761752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761752)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761752)Termination reason: Instruction limit
% 0.69/0.40 % (1761752)Termination phase: shuffling
% 0.69/0.40 % (1761752)Time elapsed: 0.006 s
% 0.69/0.40 % (1761752)Peak memory usage: 10 MB
% 0.69/0.40 % (1761752)Instructions burned: 13 (million)
% 0.69/0.40 % (1761756)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=779518671:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.69/0.40 % (1761757)lrs+10_1_si=on:cs=on:random_seed=2929857914:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.69/0.40 % (1761757)Instruction limit reached!
% 0.69/0.40 % (1761757)------------------------------
% 0.69/0.40 % (1761757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761757)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761757)Termination reason: Instruction limit
% 0.69/0.40 % (1761757)Termination phase: shuffling
% 0.69/0.40 % (1761757)Time elapsed: 0.004 s
% 0.69/0.40 % (1761757)Peak memory usage: 10 MB
% 0.69/0.40 % (1761757)Instructions burned: 8 (million)
% 0.69/0.40 % (1761737) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1761729-1761737"...
% 0.69/0.40 % (1761737)...printing done.
% 0.69/0.40 % (1761755)Instruction limit reached!
% 0.69/0.40 % (1761755)------------------------------
% 0.69/0.40 % (1761755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (1761755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (1761755)CaDiCaL version: 2.1.3
% 0.69/0.40 % (1761755)Termination reason: Instruction limit
% 0.69/0.40 % (1761755)Termination phase: shuffling
% 0.69/0.40 % (1761755)Time elapsed: 0.013 s
% 0.69/0.40 % (1761755)Peak memory usage: 10 MB
% 0.69/0.40 % (1761755)Instructions burned: 28 (million)
% 0.69/0.40 % (1761737)Refutation found. Thanks to Tanya!
% 0.69/0.40 % SZS status Theorem for theBenchmark
% 0.69/0.40 % SZS output start Proof for theBenchmark
% 0.69/0.40 thf(type_def_5, type, filter: $tType > $tType).
% 0.69/0.40 thf(type_def_6, type, set: $tType > $tType).
% 0.69/0.40 thf(type_def_7, type, nat: $tType).
% 0.69/0.40 thf(type_def_8, type, b: $tType).
% 0.69/0.40 thf(type_def_9, type, a: $tType).
% 0.69/0.40 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.69/0.40 thf(func_def_0, type, topolo2117631714pology: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_1, type, comple1035589618norder: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_2, type, finite_finite: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_3, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_4, type, type: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_5, type, countable: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_6, type, minus: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_7, type, bot: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_8, type, ord: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_9, type, top: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_10, type, order: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_11, type, group_add: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_12, type, lattice: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_13, type, linorder: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_14, type, preorder: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_15, type, order_bot: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_16, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_17, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_18, type, topological_t0_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_19, type, topological_t1_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_20, type, topological_t2_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_21, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_22, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_23, type, topolo890362671_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_24, type, topolo47006728_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_25, type, topolo2133971006pology: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_26, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_27, type, topolo2135403230pology: !>[X0: $tType]:($o)).
% 0.69/0.40 thf(func_def_28, type, elementary_closure: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 0.69/0.40 thf(func_def_29, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.69/0.40 thf(func_def_30, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.69/0.40 thf(func_def_31, type, lower_582600101lsc_at: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > $o))).
% 0.69/0.40 thf(func_def_32, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.69/0.40 thf(func_def_33, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.69/0.40 thf(func_def_34, type, top_top: !>[X0: $tType]:(X0)).
% 0.69/0.40 thf(func_def_35, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.69/0.40 thf(func_def_36, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.69/0.40 thf(func_def_37, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.69/0.40 thf(func_def_38, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.69/0.40 thf(func_def_39, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.69/0.40 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_41, type, topolo1751647064n_open: !>[X0: $tType]:((set @ X0 > $o))).
% 0.69/0.40 thf(func_def_42, type, topolo507301023within: !>[X0: $tType]:((X0 > set @ X0 > filter @ X0))).
% 0.69/0.40 thf(func_def_43, type, topolo406746546ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 0.69/0.40 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.69/0.40 thf(func_def_45, type, a2: b).
% 0.69/0.40 thf(func_def_46, type, f: (a > b)).
% 0.69/0.40 thf(func_def_47, type, thesis: $o).
% 0.69/0.40 thf(func_def_48, type, x0: a).
% 0.69/0.40 thf(func_def_52, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.69/0.40 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 0.69/0.40 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 0.69/0.40 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 0.69/0.40 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.69/0.40 thf(func_def_57, type, db2: !>[X0: $tType]:(X0)).
% 0.69/0.40 thf(func_def_58, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.69/0.40 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 0.69/0.40 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.69/0.40 thf(func_def_61, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.69/0.40 thf(func_def_62, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.69/0.40 thf(func_def_63, type, sK2: !>[X0: $tType]:((X0 > X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.69/0.40 thf(func_def_64, type, sK3: !>[X0: $tType]:((set @ X0 > X0 > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_65, type, sK4: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_66, type, sK5: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_67, type, sK6: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_68, type, sK7: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_69, type, sK8: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.69/0.40 thf(func_def_70, type, sK9: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.69/0.40 thf(func_def_71, type, sK10: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.69/0.40 thf(func_def_72, type, sK11: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_73, type, sK12: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_74, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_75, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_76, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_77, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_78, type, sK17: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_79, type, sK18: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_80, type, sK19: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_81, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.69/0.40 thf(func_def_82, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.69/0.40 thf(func_def_83, type, sK22: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_84, type, sK23: set @ b).
% 0.69/0.40 thf(func_def_85, type, sK24: set @ b).
% 0.69/0.40 thf(func_def_86, type, sK25: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.69/0.40 thf(func_def_87, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_88, type, sK27: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_89, type, sK28: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_90, type, sK29: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_91, type, sK30: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_92, type, sK31: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_93, type, sK32: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_94, type, sK33: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.69/0.40 thf(func_def_95, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.69/0.40 thf(func_def_96, type, sK35: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_97, type, sK36: (set @ b > set @ a)).
% 0.69/0.40 thf(func_def_98, type, sK37: !>[X0: $tType]:((X0 > nat > set @ X0))).
% 0.69/0.40 thf(func_def_99, type, sK38: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 0.69/0.40 thf(func_def_100, type, sK39: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_101, type, sK40: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_102, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.69/0.40 thf(func_def_103, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.69/0.40 thf(func_def_104, type, sK43: (set @ b > set @ a)).
% 0.69/0.40 thf(func_def_105, type, sK44: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_106, type, sK45: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_107, type, sK46: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_108, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.69/0.40 thf(func_def_109, type, sK48: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.69/0.40 thf(func_def_110, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.69/0.40 thf(func_def_111, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.69/0.40 thf(func_def_112, type, sK51: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_113, type, sK52: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_114, type, sK53: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_115, type, sK54: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_116, type, sK55: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.69/0.40 thf(func_def_117, type, sK56: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_118, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.69/0.40 thf(func_def_119, type, sK58: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.69/0.40 thf(func_def_120, type, sK59: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.69/0.40 thf(func_def_121, type, sK60: !>[X0: $tType]:((set @ X0 > X0))).
% 0.69/0.40 thf(func_def_122, type, vNOT: ($o > $o)).
% 0.69/0.40 thf(f1,axiom,(
% 0.69/0.40 (a2 != ((f @ x0)))),
% 0.69/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062)).
% 0.69/0.40 thf(f2,axiom,(
% 0.69/0.40 (((f @ x0)) != a2) => ? [X0 : set @ b,X1 : set @ b] : ((member @ b @ a2 @ X1) & (topolo1751647064n_open @ b @ X0) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (topolo1751647064n_open @ b @ X1) & (member @ b @ (f @ x0) @ X0))),
% 0.69/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062)).
% 0.69/0.40 thf(f357,axiom,(
% 0.69/0.40 ! [X0 : set @ b,X1 : set @ b] : (((member @ b @ (f @ x0) @ X0) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (topolo1751647064n_open @ b @ X0) & (topolo1751647064n_open @ b @ X1) & (member @ b @ a2 @ X1)) => thesis)),
% 0.69/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.69/0.40 thf(f358,conjecture,(
% 0.69/0.40 thesis),
% 0.69/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.69/0.40 thf(f359,negated_conjecture,(
% 0.69/0.40 ~thesis),
% 0.69/0.40 inference(negated_conjecture,[status(cth)],[f358])).
% 0.69/0.40 thf(f478,plain,(
% 0.69/0.40 ~thesis),
% 0.69/0.40 inference(rectify,[],[f359])).
% 0.69/0.40 thf(f479,plain,(
% 0.69/0.40 ~ (thesis = $true)),
% 0.69/0.40 inference(fool_elimination,[],[f478])).
% 0.69/0.40 thf(f622,plain,(
% 0.69/0.40 (((f @ x0)) != a2) => ? [X0 : set @ b,X1 : set @ b] : ((member @ b @ a2 @ X1) & (topolo1751647064n_open @ b @ X0) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (topolo1751647064n_open @ b @ X1) & (member @ b @ (f @ x0) @ X0))),
% 0.69/0.40 inference(rectify,[],[f2])).
% 0.69/0.40 thf(f623,plain,(
% 0.69/0.40 (a2 != ((f @ x0))) => ? [X0 : set @ b,X1 : set @ b] : ((((topolo1751647064n_open @ b @ X0)) = $true) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (((member @ b @ (f @ x0) @ X0)) = $true) & (((topolo1751647064n_open @ b @ X1)) = $true) & (((member @ b @ a2 @ X1)) = $true))),
% 0.69/0.40 inference(fool_elimination,[],[f622])).
% 0.69/0.40 thf(f742,plain,(
% 0.69/0.40 ! [X0 : set @ b,X1 : set @ b] : (((member @ b @ (f @ x0) @ X0) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (topolo1751647064n_open @ b @ X0) & (topolo1751647064n_open @ b @ X1) & (member @ b @ a2 @ X1)) => thesis)),
% 0.69/0.40 inference(rectify,[],[f357])).
% 0.69/0.40 thf(f743,plain,(
% 0.69/0.40 ! [X1 : set @ b,X0 : set @ b] : (((((topolo1751647064n_open @ b @ X0)) = $true) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (((topolo1751647064n_open @ b @ X1)) = $true) & (((member @ b @ a2 @ X1)) = $true) & (((member @ b @ (f @ x0) @ X0)) = $true)) => (thesis = $true))),
% 0.69/0.40 inference(fool_elimination,[],[f742])).
% 0.69/0.40 thf(f1012,plain,(
% 0.69/0.40 (thesis != $true)),
% 0.69/0.40 inference(flattening,[],[f479])).
% 0.69/0.40 thf(f1153,plain,(
% 0.69/0.40 ! [X1 : set @ b,X0 : set @ b] : ((thesis = $true) | ((((topolo1751647064n_open @ b @ X0)) != $true) | (((inf_inf @ set @ b @ X0 @ X1)) != bot_bot @ set @ b) | (((topolo1751647064n_open @ b @ X1)) != $true) | (((member @ b @ a2 @ X1)) != $true) | (((member @ b @ (f @ x0) @ X0)) != $true)))),
% 0.69/0.40 inference(ennf_transformation,[],[f743])).
% 0.69/0.40 thf(f1154,plain,(
% 0.69/0.40 ! [X1 : set @ b,X0 : set @ b] : ((((topolo1751647064n_open @ b @ X1)) != $true) | (((topolo1751647064n_open @ b @ X0)) != $true) | (((member @ b @ (f @ x0) @ X0)) != $true) | (((inf_inf @ set @ b @ X0 @ X1)) != bot_bot @ set @ b) | (((member @ b @ a2 @ X1)) != $true) | (thesis = $true))),
% 0.69/0.40 inference(flattening,[],[f1153])).
% 0.69/0.40 thf(f1296,plain,(
% 0.69/0.40 (a2 = ((f @ x0))) | ? [X0 : set @ b,X1 : set @ b] : ((((topolo1751647064n_open @ b @ X0)) = $true) & (((inf_inf @ set @ b @ X0 @ X1)) = bot_bot @ set @ b) & (((member @ b @ (f @ x0) @ X0)) = $true) & (((topolo1751647064n_open @ b @ X1)) = $true) & (((member @ b @ a2 @ X1)) = $true))),
% 0.69/0.40 inference(ennf_transformation,[],[f623])).
% 0.69/0.40 thf(f1437,plain,(
% 0.69/0.40 (a2 = ((f @ x0))) | ((((topolo1751647064n_open @ b @ sK23)) = $true) & (bot_bot @ set @ b = ((inf_inf @ set @ b @ sK23 @ sK24))) & (((member @ b @ (f @ x0) @ sK23)) = $true) & ($true = ((topolo1751647064n_open @ b @ sK24))) & (((member @ b @ a2 @ sK24)) = $true))),
% 0.69/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f1296])).
% 0.69/0.40 thf(f1520,plain,(
% 0.69/0.40 ! [X0 : set @ b,X1 : set @ b] : ((((topolo1751647064n_open @ b @ X0)) != $true) | (((topolo1751647064n_open @ b @ X1)) != $true) | (((member @ b @ (f @ x0) @ X1)) != $true) | (bot_bot @ set @ b != ((inf_inf @ set @ b @ X1 @ X0))) | ($true != ((member @ b @ a2 @ X0))) | (thesis = $true))),
% 0.69/0.40 inference(rectify,[],[f1154])).
% 0.69/0.40 thf(f1777,plain,(
% 0.69/0.40 (((member @ b @ a2 @ sK24)) = $true) | (a2 = ((f @ x0)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1437])).
% 0.69/0.40 thf(f1778,plain,(
% 0.69/0.40 (a2 = ((f @ x0))) | ($true = ((topolo1751647064n_open @ b @ sK24)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1437])).
% 0.69/0.40 thf(f1779,plain,(
% 0.69/0.40 (((member @ b @ (f @ x0) @ sK23)) = $true) | (a2 = ((f @ x0)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1437])).
% 0.69/0.40 thf(f1780,plain,(
% 0.69/0.40 (a2 = ((f @ x0))) | (bot_bot @ set @ b = ((inf_inf @ set @ b @ sK23 @ sK24)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1437])).
% 0.69/0.40 thf(f1781,plain,(
% 0.69/0.40 (((topolo1751647064n_open @ b @ sK23)) = $true) | (a2 = ((f @ x0)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1437])).
% 0.69/0.40 thf(f1959,plain,(
% 0.69/0.40 (thesis != $true)),
% 0.69/0.40 inference(cnf_transformation,[],[f1012])).
% 0.69/0.40 thf(f1960,plain,(
% 0.69/0.40 ( ! [X0 : set @ b,X1 : set @ b] : ((((member @ b @ (f @ x0) @ X1)) != $true) | (((topolo1751647064n_open @ b @ X1)) != $true) | (bot_bot @ set @ b != ((inf_inf @ set @ b @ X1 @ X0))) | ($true != ((member @ b @ a2 @ X0))) | (thesis = $true) | (((topolo1751647064n_open @ b @ X0)) != $true)) )),
% 0.69/0.40 inference(cnf_transformation,[],[f1520])).
% 0.69/0.40 thf(f2025,plain,(
% 0.69/0.40 (a2 != ((f @ x0)))),
% 0.69/0.40 inference(cnf_transformation,[],[f1])).
% 0.69/0.40 thf(f2183,definition,(
% 0.69/0.40 spl61_5 <=> (a2 = ((f @ x0)))),
% 0.69/0.40 introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition])).
% 0.69/0.40 thf(f2187,definition,(
% 0.69/0.40 spl61_6 <=> (bot_bot @ set @ b = ((inf_inf @ set @ b @ sK23 @ sK24)))),
% 0.69/0.40 introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition])).
% 0.69/0.40 thf(f2189,plain,(
% 0.69/0.40 (bot_bot @ set @ b = ((inf_inf @ set @ b @ sK23 @ sK24))) | ~spl61_6),
% 0.69/0.40 inference(avatar_component_clause,[],[f2187])).
% 0.69/0.40 thf(f2190,plain,(
% 0.69/0.40 spl61_5 | spl61_6),
% 0.69/0.40 inference(avatar_split_clause,[],[f1780,f2187,f2183])).
% 0.69/0.40 thf(f2237,definition,(
% 0.69/0.40 spl61_16 <=> ($true = ((topolo1751647064n_open @ b @ sK24)))),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_16])],[avatar_definition])).
% 0.69/0.41 thf(f2239,plain,(
% 0.69/0.41 ($true = ((topolo1751647064n_open @ b @ sK24))) | ~spl61_16),
% 0.69/0.41 inference(avatar_component_clause,[],[f2237])).
% 0.69/0.41 thf(f2240,plain,(
% 0.69/0.41 spl61_5 | spl61_16),
% 0.69/0.41 inference(avatar_split_clause,[],[f1778,f2237,f2183])).
% 0.69/0.41 thf(f2256,definition,(
% 0.69/0.41 spl61_20 <=> (((topolo1751647064n_open @ b @ sK23)) = $true)),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_20])],[avatar_definition])).
% 0.69/0.41 thf(f2258,plain,(
% 0.69/0.41 (((topolo1751647064n_open @ b @ sK23)) = $true) | ~spl61_20),
% 0.69/0.41 inference(avatar_component_clause,[],[f2256])).
% 0.69/0.41 thf(f2259,plain,(
% 0.69/0.41 spl61_20 | spl61_5),
% 0.69/0.41 inference(avatar_split_clause,[],[f1781,f2183,f2256])).
% 0.69/0.41 thf(f2271,definition,(
% 0.69/0.41 spl61_23 <=> (((member @ b @ a2 @ sK24)) = $true)),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_23])],[avatar_definition])).
% 0.69/0.41 thf(f2273,plain,(
% 0.69/0.41 (((member @ b @ a2 @ sK24)) = $true) | ~spl61_23),
% 0.69/0.41 inference(avatar_component_clause,[],[f2271])).
% 0.69/0.41 thf(f2274,plain,(
% 0.69/0.41 spl61_23 | spl61_5),
% 0.69/0.41 inference(avatar_split_clause,[],[f1777,f2183,f2271])).
% 0.69/0.41 thf(f2301,definition,(
% 0.69/0.41 spl61_29 <=> (thesis = $true)),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_29])],[avatar_definition])).
% 0.69/0.41 thf(f2304,plain,(
% 0.69/0.41 ~spl61_29),
% 0.69/0.41 inference(avatar_split_clause,[],[f1959,f2301])).
% 0.69/0.41 thf(f2331,definition,(
% 0.69/0.41 spl61_35 <=> (((member @ b @ (f @ x0) @ sK23)) = $true)),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_35])],[avatar_definition])).
% 0.69/0.41 thf(f2333,plain,(
% 0.69/0.41 (((member @ b @ (f @ x0) @ sK23)) = $true) | ~spl61_35),
% 0.69/0.41 inference(avatar_component_clause,[],[f2331])).
% 0.69/0.41 thf(f2334,plain,(
% 0.69/0.41 spl61_5 | spl61_35),
% 0.69/0.41 inference(avatar_split_clause,[],[f1779,f2331,f2183])).
% 0.69/0.41 thf(f2345,plain,(
% 0.69/0.41 ~spl61_5),
% 0.69/0.41 inference(avatar_split_clause,[],[f2025,f2183])).
% 0.69/0.41 thf(f2396,definition,(
% 0.69/0.41 spl61_48 <=> ! [X0 : set @ b,X1 : set @ b] : ((((member @ b @ (f @ x0) @ X1)) != $true) | (((topolo1751647064n_open @ b @ X0)) != $true) | ($true != ((member @ b @ a2 @ X0))) | (bot_bot @ set @ b != ((inf_inf @ set @ b @ X1 @ X0))) | (((topolo1751647064n_open @ b @ X1)) != $true))),
% 0.69/0.41 introduced(definition,[new_symbols(definition,[spl61_48])],[avatar_definition])).
% 0.69/0.41 thf(f2397,plain,(
% 0.69/0.41 ( ! [X0 : set @ b,X1 : set @ b] : ((((member @ b @ (f @ x0) @ X1)) != $true) | (bot_bot @ set @ b != ((inf_inf @ set @ b @ X1 @ X0))) | (((topolo1751647064n_open @ b @ X1)) != $true) | (((topolo1751647064n_open @ b @ X0)) != $true) | ($true != ((member @ b @ a2 @ X0)))) ) | ~spl61_48),
% 0.69/0.41 inference(avatar_component_clause,[],[f2396])).
% 0.69/0.41 thf(f2398,plain,(
% 0.69/0.41 spl61_29 | spl61_48),
% 0.69/0.41 inference(avatar_split_clause,[],[f1960,f2396,f2301])).
% 0.69/0.41 thf(f2441,plain,(
% 0.69/0.41 ( ! [X0 : set @ b,X1 : set @ b] : ((((inf_inf @ set @ b @ sK23 @ sK24)) != ((inf_inf @ set @ b @ X1 @ X0))) | (((topolo1751647064n_open @ b @ X0)) != $true) | (((topolo1751647064n_open @ b @ X1)) != $true) | ($true != ((member @ b @ a2 @ X0))) | (((member @ b @ (f @ x0) @ X1)) != $true)) ) | (~spl61_6 | ~spl61_48)),
% 0.69/0.41 inference(forward_demodulation,[],[f2397,f2189])).
% 0.69/0.41 thf(f2447,plain,(
% 0.69/0.41 (((topolo1751647064n_open @ b @ sK23)) != $true) | (((member @ b @ a2 @ sK24)) != $true) | (((member @ b @ (f @ x0) @ sK23)) != $true) | ($true != ((topolo1751647064n_open @ b @ sK24))) | (~spl61_6 | ~spl61_48)),
% 0.69/0.41 inference(equality_resolution,[],[f2441])).
% 0.69/0.41 thf(f2451,plain,(
% 0.69/0.41 ($true != ((topolo1751647064n_open @ b @ sK24))) | (((member @ b @ (f @ x0) @ sK23)) != $true) | (((member @ b @ a2 @ sK24)) != $true) | (~spl61_6 | ~spl61_20 | ~spl61_48)),
% 0.69/0.41 inference(forward_subsumption_resolution,[],[f2447,f2258])).
% 0.69/0.41 thf(f2454,plain,(
% 0.69/0.41 (((member @ b @ a2 @ sK24)) != $true) | (((member @ b @ (f @ x0) @ sK23)) != $true) | (~spl61_6 | ~spl61_16 | ~spl61_20 | ~spl61_48)),
% 0.69/0.41 inference(forward_subsumption_resolution,[],[f2451,f2239])).
% 0.69/0.41 thf(f2457,plain,(
% 0.69/0.41 (((member @ b @ (f @ x0) @ sK23)) != $true) | (~spl61_6 | ~spl61_16 | ~spl61_20 | ~spl61_23 | ~spl61_48)),
% 0.69/0.41 inference(forward_subsumption_resolution,[],[f2454,f2273])).
% 0.69/0.41 thf(f2474,plain,(
% 0.69/0.41 $false | (~spl61_6 | ~spl61_16 | ~spl61_20 | ~spl61_23 | ~spl61_35 | ~spl61_48)),
% 0.69/0.41 inference(forward_subsumption_resolution,[],[f2457,f2333])).
% 0.69/0.41 thf(f2475,plain,(
% 0.69/0.41 ~spl61_6 | ~spl61_16 | ~spl61_20 | ~spl61_23 | ~spl61_35 | ~spl61_48),
% 0.69/0.41 inference(avatar_contradiction_clause,[],[f2474])).
% 0.69/0.41 cnf(s4, plain, spl61_5 | spl61_6, inference(sat_conversion,[],[f2190])).
% 0.69/0.41 cnf(s14, plain, spl61_5 | spl61_16, inference(sat_conversion,[],[f2240])).
% 0.69/0.41 cnf(s18, plain, spl61_5 | spl61_20, inference(sat_conversion,[],[f2259])).
% 0.69/0.41 cnf(s21, plain, spl61_5 | spl61_23, inference(sat_conversion,[],[f2274])).
% 0.69/0.41 cnf(s27, plain, ~spl61_29, inference(sat_conversion,[],[f2304])).
% 0.69/0.41 cnf(s33, plain, spl61_5 | spl61_35, inference(sat_conversion,[],[f2334])).
% 0.69/0.41 cnf(s36, plain, ~spl61_5, inference(sat_conversion,[],[f2345])).
% 0.69/0.41 cnf(s47, plain, spl61_29 | spl61_48, inference(sat_conversion,[],[f2398])).
% 0.69/0.41 cnf(s55, plain, ~spl61_6 | ~spl61_16 | ~spl61_20 | ~spl61_23 | ~spl61_35 | ~spl61_48, inference(sat_conversion,[],[f2475])).
% 0.69/0.41 cnf(s56, plain, spl61_35, inference(rat,[],[s33,s36])).
% 0.69/0.41 cnf(s58, plain, spl61_48, inference(rat,[],[s47,s27])).
% 0.69/0.41 cnf(s59, plain, spl61_23, inference(rat,[],[s21,s36])).
% 0.69/0.41 cnf(s60, plain, spl61_20, inference(rat,[],[s18,s36])).
% 0.69/0.41 cnf(s61, plain, spl61_16, inference(rat,[],[s14,s36])).
% 0.69/0.41 cnf(s62, plain, ~spl61_6, inference(rat,[],[s55,s58,s56,s59,s60,s61])).
% 0.69/0.41 cnf(s63, plain, $false, inference(rat,[],[s4,s62,s36])).
% 0.69/0.41 thf(f2476,plain,(
% 0.69/0.41 $false),
% 0.69/0.41 inference(avatar_sat_refutation,[],[s63])).
% 0.69/0.41 % SZS output end Proof for theBenchmark
% 0.69/0.41 % (1761737)------------------------------
% 0.69/0.41 % (1761737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1761737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1761737)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1761737)Termination reason: Refutation
% 0.69/0.41 % (1761737)Time elapsed: 0.063 s
% 0.69/0.41 % (1761737)Peak memory usage: 14 MB
% 0.69/0.41 % (1761737)Instructions burned: 126 (million)
% 0.69/0.41 % (1761729)Success in time 0.108 s
% 0.69/0.41 % Vampire exiting
%------------------------------------------------------------------------------