%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM183^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 07:46:24 AM UTC 2026
% Result : Theorem 0.64s 0.37s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM183^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:50:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 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
% 0.64/0.37 % (1990563)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.64/0.37 % (1990572)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2313346574:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.64/0.37 % (1990574)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.64/0.37 % (1990574)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
% 0.64/0.37 % (1990568)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3124963025:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.64/0.37 % (1990572)Instruction limit reached!
% 0.64/0.37 % (1990572)------------------------------
% 0.64/0.37 % (1990572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990569)lrs+10_16_si=on:nwc=1.5:random_seed=4211820316:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.64/0.37 % (1990572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990572)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990572)Termination reason: Instruction limit
% 0.64/0.37 % (1990572)Termination phase: Preprocessing 1
% 0.64/0.37 % (1990572)Time elapsed: 0.007 s
% 0.64/0.37 % (1990572)Peak memory usage: 10 MB
% 0.64/0.37 % (1990572)Instructions burned: 28 (million)
% 0.64/0.37 % (1990570)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1868575109:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.64/0.37 % (1990574)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=2279507900:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.64/0.37 % (1990571)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=1779886140: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)
% 0.64/0.37 % (1990573)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=208837188:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.64/0.37 % (1990570)Instruction limit reached!
% 0.64/0.37 % (1990570)------------------------------
% 0.64/0.37 % (1990570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990570)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990570)Termination reason: Instruction limit
% 0.64/0.37 % (1990570)Termination phase: shuffling
% 0.64/0.37 % (1990570)Time elapsed: 0.003 s
% 0.64/0.37 % (1990570)Peak memory usage: 10 MB
% 0.64/0.37 % (1990570)Instructions burned: 7 (million)
% 0.64/0.37 % (1990569)Instruction limit reached!
% 0.64/0.37 % (1990569)------------------------------
% 0.64/0.37 % (1990569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990569)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990569)Termination reason: Instruction limit
% 0.64/0.37 % (1990569)Termination phase: Property scanning
% 0.64/0.37 % (1990569)Time elapsed: 0.009 s
% 0.64/0.37 % (1990569)Peak memory usage: 10 MB
% 0.64/0.37 % (1990569)Instructions burned: 19 (million)
% 0.64/0.37 % (1990581)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=631111689:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.64/0.37 % (1990581)Instruction limit reached!
% 0.64/0.37 % (1990581)------------------------------
% 0.64/0.37 % (1990581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990581)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990581)Termination reason: Instruction limit
% 0.64/0.37 % (1990581)Termination phase: shuffling
% 0.64/0.37 % (1990581)Time elapsed: 0.002 s
% 0.64/0.37 % (1990581)Peak memory usage: 10 MB
% 0.64/0.37 % (1990581)Instructions burned: 6 (million)
% 0.64/0.37 % (1990583)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3596792003:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.64/0.37 % (1990586)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1628360715:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.64/0.37 % (1990583)Instruction limit reached!
% 0.64/0.37 % (1990583)------------------------------
% 0.64/0.37 % (1990583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990583)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990583)Termination reason: Instruction limit
% 0.64/0.37 % (1990583)Termination phase: shuffling
% 0.64/0.37 % (1990583)Time elapsed: 0.004 s
% 0.64/0.37 % (1990583)Peak memory usage: 10 MB
% 0.64/0.37 % (1990583)Instructions burned: 7 (million)
% 0.64/0.37 % (1990586)Instruction limit reached!
% 0.64/0.37 % (1990586)------------------------------
% 0.64/0.37 % (1990586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990586)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990586)Termination reason: Instruction limit
% 0.64/0.37 % (1990586)Termination phase: Property scanning
% 0.64/0.37 % (1990586)Time elapsed: 0.004 s
% 0.64/0.37 % (1990586)Peak memory usage: 10 MB
% 0.64/0.37 % (1990586)Instructions burned: 18 (million)
% 0.64/0.37 % (1990584)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.37 % (1990584)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=970284511:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.64/0.37 % (1990573)Instruction limit reached!
% 0.64/0.37 % (1990573)------------------------------
% 0.64/0.37 % (1990573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990573)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990573)Termination reason: Instruction limit
% 0.64/0.37 % (1990573)Termination phase: Saturation
% 0.64/0.37 % (1990573)Time elapsed: 0.036 s
% 0.64/0.37 % (1990573)Peak memory usage: 12 MB
% 0.64/0.37 % (1990573)Instructions burned: 76 (million)
% 0.64/0.37 % (1990568)Instruction limit reached!
% 0.64/0.37 % (1990568)------------------------------
% 0.64/0.37 % (1990568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990568)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990568)Termination reason: Instruction limit
% 0.64/0.37 % (1990568)Termination phase: Saturation
% 0.64/0.37 % (1990568)Time elapsed: 0.041 s
% 0.64/0.37 % (1990568)Peak memory usage: 12 MB
% 0.64/0.37 % (1990568)Instructions burned: 88 (million)
% 0.64/0.37 % (1990584)Instruction limit reached!
% 0.64/0.37 % (1990584)------------------------------
% 0.64/0.37 % (1990584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990584)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990584)Termination reason: Instruction limit
% 0.64/0.37 % (1990584)Termination phase: shuffling
% 0.64/0.37 % (1990584)Time elapsed: 0.007 s
% 0.64/0.37 % (1990584)Peak memory usage: 10 MB
% 0.64/0.37 % (1990584)Instructions burned: 8 (million)
% 0.64/0.37 % (1990590)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=603698801:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.64/0.37 % (1990589)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
% 0.64/0.37 % (1990589)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.37 % (1990571) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1990563-1990571"...
% 0.64/0.37 % (1990593)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.64/0.37 % (1990571)...printing done.
% 0.64/0.37 % (1990589)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3286223215:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.64/0.37 % (1990571)Refutation found. Thanks to Tanya!
% 0.64/0.37 % SZS status Theorem for theBenchmark
% 0.64/0.37 % SZS output start Proof for theBenchmark
% 0.64/0.37 thf(type_def_5, type, dtree: $tType).
% 0.64/0.37 thf(type_def_6, type, set: $tType > $tType).
% 0.64/0.37 thf(type_def_7, type, t: $tType).
% 0.64/0.37 thf(type_def_8, type, n: $tType).
% 0.64/0.37 thf(type_def_9, type, itself: $tType > $tType).
% 0.64/0.37 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.64/0.37 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_2, type, minus: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_3, type, uminus: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_4, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_5, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_6, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_7, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_8, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_9, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_10, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_11, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_12, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_14, type, comm_monoid_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_15, type, boolean_algebra: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_16, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_17, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_18, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_19, type, bounded_lattice_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_20, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_21, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_22, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_23, type, linord1659791738miring: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_24, type, bounde1808546759up_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_25, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.64/0.37 thf(func_def_26, type, root: (dtree > n)).
% 0.64/0.37 thf(func_def_27, type, gram_L861583724lle_Fr: (set @ n > dtree > set @ t)).
% 0.64/0.37 thf(func_def_28, type, gram_L1333338417e_inFr: (set @ n > dtree > t > $o)).
% 0.64/0.37 thf(func_def_29, type, gram_L805317441_inFr2: (set @ n > dtree > t > $o)).
% 0.64/0.37 thf(func_def_30, type, gram_L830233218_inItr: (set @ n > dtree > n > $o)).
% 0.64/0.37 thf(func_def_31, type, gram_L716654942_subtr: (set @ n > dtree > dtree > $o)).
% 0.64/0.37 thf(func_def_32, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.64/0.37 thf(func_def_33, type, one_one: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_34, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.64/0.37 thf(func_def_35, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_36, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 0.64/0.37 thf(func_def_37, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.64/0.37 thf(func_def_38, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.64/0.37 thf(func_def_40, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.64/0.37 thf(func_def_41, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.64/0.37 thf(func_def_42, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.64/0.37 thf(func_def_43, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.64/0.37 thf(func_def_44, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.64/0.37 thf(func_def_45, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.64/0.37 thf(func_def_46, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.64/0.37 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.64/0.37 thf(func_def_48, type, ns: set @ n).
% 0.64/0.37 thf(func_def_49, type, tr1: dtree).
% 0.64/0.37 thf(func_def_50, type, tr2: dtree).
% 0.64/0.37 thf(func_def_51, type, tr3: dtree).
% 0.64/0.37 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.64/0.37 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 0.64/0.37 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.64/0.37 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.64/0.37 thf(func_def_62, type, vNOT: ($o > $o)).
% 0.64/0.37 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.64/0.37 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 0.64/0.37 thf(func_def_65, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.64/0.37 thf(func_def_66, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.64/0.37 thf(func_def_67, type, sK2: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_68, type, sK3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_69, type, sK4: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_70, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_72, type, sK7: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_73, type, sK8: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_74, type, sK9: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_75, type, sK10: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_76, type, sK11: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_77, type, sK12: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_78, type, sK13: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.64/0.37 thf(func_def_79, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_80, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_81, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_82, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_83, type, sK18: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_84, type, sK19: !>[X0: $tType]:((set @ X0 > X0))).
% 0.64/0.37 thf(func_def_85, type, sK20: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_86, type, sK21: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_87, type, sK22: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_88, type, sK23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_89, type, sK24: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_90, type, sK25: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.64/0.37 thf(func_def_91, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 0.64/0.37 thf(func_def_92, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_93, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_96, type, sK31: !>[X0: $tType]:((set @ X0 > X0))).
% 0.64/0.37 thf(func_def_97, type, sK32: !>[X0: $tType]:((set @ X0 > X0))).
% 0.64/0.37 thf(func_def_98, type, sK33: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.64/0.37 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.64/0.37 thf(func_def_101, type, sK36: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.64/0.37 thf(func_def_102, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_103, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.64/0.37 thf(func_def_104, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.64/0.37 thf(func_def_105, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.64/0.37 thf(f1,axiom,(
% 0.64/0.37 (gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)),
% 0.64/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062subtr_A_Ins_A_092_060union_062_Ans_J_Atr1_Atr3_092_060close_062)).
% 0.64/0.37 thf(f57,axiom,(
% 0.64/0.37 ! [X0 : $tType,X1 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ X1)) = X1)),
% 0.64/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_Un__absorb)).
% 0.64/0.37 thf(f297,conjecture,(
% 0.64/0.37 (gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.64/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.64/0.37 thf(f298,negated_conjecture,(
% 0.64/0.37 ~(gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.64/0.37 inference(negated_conjecture,[status(cth)],[f297])).
% 0.64/0.37 thf(f729,plain,(
% 0.64/0.37 ~(gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.64/0.37 inference(rectify,[],[f298])).
% 0.64/0.37 thf(f730,plain,(
% 0.64/0.37 ~ (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) = $true)),
% 0.64/0.37 inference(fool_elimination,[],[f729])).
% 0.64/0.37 thf(f788,plain,(
% 0.64/0.37 (gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)),
% 0.64/0.37 inference(rectify,[],[f1])).
% 0.64/0.37 thf(f789,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)) = $true)),
% 0.64/0.37 inference(fool_elimination,[],[f788])).
% 0.64/0.37 thf(f871,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true)),
% 0.64/0.37 inference(flattening,[],[f730])).
% 0.64/0.37 thf(f1569,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)) = $true)),
% 0.64/0.37 inference(cnf_transformation,[],[f789])).
% 0.64/0.37 thf(f1571,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true)),
% 0.64/0.37 inference(cnf_transformation,[],[f871])).
% 0.64/0.37 thf(f1728,plain,(
% 0.64/0.37 ( ! [X0 : $tType,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X1 @ X1)) = X1)) )),
% 0.64/0.37 inference(cnf_transformation,[],[f57])).
% 0.64/0.37 thf(f1858,definition,(
% 0.64/0.37 spl41_11 <=> (((gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)) = $true)),
% 0.64/0.37 introduced(definition,[new_symbols(definition,[spl41_11])],[avatar_definition])).
% 0.64/0.37 thf(f1860,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ (sup_sup @ set @ n @ ns @ ns) @ tr1 @ tr3)) = $true) | ~spl41_11),
% 0.64/0.37 inference(avatar_component_clause,[],[f1858])).
% 0.64/0.37 thf(f1861,plain,(
% 0.64/0.37 spl41_11),
% 0.64/0.37 inference(avatar_split_clause,[],[f1569,f1858])).
% 0.64/0.37 thf(f1893,definition,(
% 0.64/0.37 spl41_18 <=> (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) = $true)),
% 0.64/0.37 introduced(definition,[new_symbols(definition,[spl41_18])],[avatar_definition])).
% 0.64/0.37 thf(f1895,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true) | spl41_18),
% 0.64/0.37 inference(avatar_component_clause,[],[f1893])).
% 0.64/0.37 thf(f1896,plain,(
% 0.64/0.37 ~spl41_18),
% 0.64/0.37 inference(avatar_split_clause,[],[f1571,f1893])).
% 0.64/0.37 thf(f1977,plain,(
% 0.64/0.37 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) = $true) | ~spl41_11),
% 0.64/0.37 inference(superposition,[],[f1860,f1728])).
% 0.64/0.37 thf(f1979,plain,(
% 0.64/0.37 $false | (~spl41_11 | spl41_18)),
% 0.64/0.37 inference(forward_subsumption_resolution,[],[f1977,f1895])).
% 0.64/0.37 thf(f1980,plain,(
% 0.64/0.37 ~spl41_11 | spl41_18),
% 0.64/0.37 inference(avatar_contradiction_clause,[],[f1979])).
% 0.64/0.37 cnf(s11, plain, spl41_11, inference(sat_conversion,[],[f1861])).
% 0.64/0.37 cnf(s18, plain, ~spl41_18, inference(sat_conversion,[],[f1896])).
% 0.64/0.37 cnf(s27, plain, ~spl41_11 | spl41_18, inference(sat_conversion,[],[f1980])).
% 0.64/0.37 cnf(s28, plain, ~spl41_11, inference(rat,[],[s27,s18])).
% 0.64/0.37 cnf(s31, plain, $false, inference(rat,[],[s11,s28])).
% 0.64/0.37 thf(f1981,plain,(
% 0.64/0.37 $false),
% 0.64/0.37 inference(avatar_sat_refutation,[],[s31])).
% 0.64/0.37 % SZS output end Proof for theBenchmark
% 0.64/0.37 % (1990571)------------------------------
% 0.64/0.37 % (1990571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.37 % (1990571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.37 % (1990571)CaDiCaL version: 2.1.3
% 0.64/0.37 % (1990571)Termination reason: Refutation
% 0.64/0.37 % (1990571)Time elapsed: 0.057 s
% 0.64/0.37 % (1990571)Peak memory usage: 14 MB
% 0.64/0.37 % (1990571)Instructions burned: 113 (million)
% 0.64/0.37 % (1990563)Success in time 0.111 s
% 0.64/0.37 % Vampire exiting
%------------------------------------------------------------------------------