TSTP Solution File: SYO463^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO463^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:04:56 EDT 2024
% Result : Theorem 0.23s 0.42s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO463^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 09:25:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.39 % (31961)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (31955)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (31956)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.39 % (31957)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.16/0.39 % (31958)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (31959)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (31960)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.16/0.39 % (31962)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.39 % (31958)Instruction limit reached!
% 0.16/0.39 % (31958)------------------------------
% 0.16/0.39 % (31958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (31958)Termination reason: Unknown
% 0.16/0.39 % (31958)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (31959)Instruction limit reached!
% 0.16/0.39 % (31959)------------------------------
% 0.16/0.39 % (31959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (31959)Termination reason: Unknown
% 0.16/0.39 % (31959)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (31959)Memory used [KB]: 1023
% 0.16/0.39 % (31959)Time elapsed: 0.003 s
% 0.16/0.39 % (31959)Instructions burned: 2 (million)
% 0.16/0.39 % (31959)------------------------------
% 0.16/0.39 % (31959)------------------------------
% 0.16/0.39 % (31958)Memory used [KB]: 1023
% 0.16/0.39 % (31958)Time elapsed: 0.003 s
% 0.16/0.39 % (31958)Instructions burned: 2 (million)
% 0.16/0.39 % (31958)------------------------------
% 0.16/0.39 % (31958)------------------------------
% 0.23/0.39 % (31962)Instruction limit reached!
% 0.23/0.39 % (31962)------------------------------
% 0.23/0.39 % (31962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31962)Termination reason: Unknown
% 0.23/0.39 % (31962)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (31962)Memory used [KB]: 1023
% 0.23/0.39 % (31962)Time elapsed: 0.004 s
% 0.23/0.39 % (31962)Instructions burned: 3 (million)
% 0.23/0.39 % (31962)------------------------------
% 0.23/0.39 % (31962)------------------------------
% 0.23/0.39 % (31956)Instruction limit reached!
% 0.23/0.39 % (31956)------------------------------
% 0.23/0.39 % (31956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31956)Termination reason: Unknown
% 0.23/0.39 % (31956)Termination phase: Property scanning
% 0.23/0.39
% 0.23/0.39 % (31956)Memory used [KB]: 1023
% 0.23/0.39 % (31956)Time elapsed: 0.005 s
% 0.23/0.39 % (31956)Instructions burned: 5 (million)
% 0.23/0.39 % (31956)------------------------------
% 0.23/0.39 % (31956)------------------------------
% 0.23/0.39 % (31960)Refutation not found, incomplete strategy
% 0.23/0.39 % (31960)------------------------------
% 0.23/0.39 % (31960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (31960)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (31960)Memory used [KB]: 5628
% 0.23/0.39 % (31960)Time elapsed: 0.007 s
% 0.23/0.39 % (31960)Instructions burned: 9 (million)
% 0.23/0.39 % (31960)------------------------------
% 0.23/0.39 % (31960)------------------------------
% 0.23/0.40 % (31961)Instruction limit reached!
% 0.23/0.40 % (31961)------------------------------
% 0.23/0.40 % (31961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (31961)Termination reason: Unknown
% 0.23/0.40 % (31961)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (31961)Memory used [KB]: 5756
% 0.23/0.40 % (31961)Time elapsed: 0.011 s
% 0.23/0.40 % (31961)Instructions burned: 19 (million)
% 0.23/0.40 % (31961)------------------------------
% 0.23/0.40 % (31961)------------------------------
% 0.23/0.40 % (31963)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.23/0.40 % (31957)Instruction limit reached!
% 0.23/0.40 % (31957)------------------------------
% 0.23/0.40 % (31957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (31957)Termination reason: Unknown
% 0.23/0.40 % (31957)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (31957)Memory used [KB]: 5756
% 0.23/0.40 % (31957)Time elapsed: 0.018 s
% 0.23/0.40 % (31957)Instructions burned: 27 (million)
% 0.23/0.40 % (31957)------------------------------
% 0.23/0.40 % (31957)------------------------------
% 0.23/0.40 % (31964)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.23/0.41 % (31966)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.23/0.41 % (31965)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.41 % (31965)Instruction limit reached!
% 0.23/0.41 % (31965)------------------------------
% 0.23/0.41 % (31965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (31965)Termination reason: Unknown
% 0.23/0.41 % (31965)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (31965)Memory used [KB]: 1023
% 0.23/0.41 % (31965)Time elapsed: 0.004 s
% 0.23/0.41 % (31965)Instructions burned: 4 (million)
% 0.23/0.41 % (31965)------------------------------
% 0.23/0.41 % (31965)------------------------------
% 0.23/0.41 % (31967)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.41 % (31968)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.41 % (31964)Instruction limit reached!
% 0.23/0.41 % (31964)------------------------------
% 0.23/0.41 % (31964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (31964)Termination reason: Unknown
% 0.23/0.41 % (31964)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (31964)Memory used [KB]: 5628
% 0.23/0.41 % (31964)Time elapsed: 0.010 s
% 0.23/0.41 % (31964)Instructions burned: 16 (million)
% 0.23/0.41 % (31964)------------------------------
% 0.23/0.41 % (31964)------------------------------
% 0.23/0.41 % (31955)First to succeed.
% 0.23/0.41 % (31967)Instruction limit reached!
% 0.23/0.41 % (31967)------------------------------
% 0.23/0.41 % (31967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (31967)Termination reason: Unknown
% 0.23/0.41 % (31967)Termination phase: Function definition elimination
% 0.23/0.41
% 0.23/0.41 % (31967)Memory used [KB]: 1023
% 0.23/0.41 % (31967)Time elapsed: 0.005 s
% 0.23/0.41 % (31967)Instructions burned: 8 (million)
% 0.23/0.41 % (31967)------------------------------
% 0.23/0.41 % (31967)------------------------------
% 0.23/0.42 % (31969)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.42 % (31969)Instruction limit reached!
% 0.23/0.42 % (31969)------------------------------
% 0.23/0.42 % (31969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (31969)Termination reason: Unknown
% 0.23/0.42 % (31969)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (31969)Memory used [KB]: 1023
% 0.23/0.42 % (31969)Time elapsed: 0.004 s
% 0.23/0.42 % (31955)Refutation found. Thanks to Tanya!
% 0.23/0.42 % SZS status Theorem for theBenchmark
% 0.23/0.42 % SZS output start Proof for theBenchmark
% 0.23/0.42 thf(type_def_5, type, mu: $tType).
% 0.23/0.42 thf(func_def_0, type, mu: $tType).
% 0.23/0.42 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.23/0.42 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_15, type, mtrue: $i > $o).
% 0.23/0.42 thf(func_def_16, type, mfalse: $i > $o).
% 0.23/0.42 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_33, type, rel_s4: $i > $i > $o).
% 0.23/0.42 thf(func_def_34, type, mbox_s4: ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_35, type, mdia_s4: ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_36, type, p: $i > $o).
% 0.23/0.42 thf(func_def_37, type, q: $i > $o).
% 0.23/0.42 thf(f669,plain,(
% 0.23/0.42 $false),
% 0.23/0.42 inference(avatar_sat_refutation,[],[f259,f264,f273,f278,f286,f291,f299,f304,f305,f342,f493,f519,f560,f578,f585,f630,f661,f668])).
% 0.23/0.42 thf(f668,plain,(
% 0.23/0.42 ~spl0_9 | ~spl0_26),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f667])).
% 0.23/0.42 thf(f667,plain,(
% 0.23/0.42 $false | (~spl0_9 | ~spl0_26)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f663])).
% 0.23/0.42 thf(f663,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_9 | ~spl0_26)),
% 0.23/0.42 inference(superposition,[],[f628,f290])).
% 0.23/0.42 thf(f290,plain,(
% 0.23/0.42 ($false = (q @ sK4)) | ~spl0_9),
% 0.23/0.42 inference(avatar_component_clause,[],[f288])).
% 0.23/0.42 thf(f288,plain,(
% 0.23/0.42 spl0_9 <=> ($false = (q @ sK4))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.23/0.42 thf(f628,plain,(
% 0.23/0.42 ((q @ sK4) = $true) | ~spl0_26),
% 0.23/0.42 inference(avatar_component_clause,[],[f626])).
% 0.23/0.42 thf(f626,plain,(
% 0.23/0.42 spl0_26 <=> ((q @ sK4) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.23/0.42 thf(f661,plain,(
% 0.23/0.42 ~spl0_7 | ~spl0_11 | ~spl0_25),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f660])).
% 0.23/0.42 thf(f660,plain,(
% 0.23/0.42 $false | (~spl0_7 | ~spl0_11 | ~spl0_25)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f656])).
% 0.23/0.42 thf(f656,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_7 | ~spl0_11 | ~spl0_25)),
% 0.23/0.42 inference(superposition,[],[f650,f624])).
% 0.23/0.42 thf(f624,plain,(
% 0.23/0.42 ((p @ sK4) = $false) | ~spl0_25),
% 0.23/0.42 inference(avatar_component_clause,[],[f622])).
% 0.23/0.42 thf(f622,plain,(
% 0.23/0.42 spl0_25 <=> ((p @ sK4) = $false)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.23/0.42 thf(f650,plain,(
% 0.23/0.42 ((p @ sK4) = $true) | (~spl0_7 | ~spl0_11)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f643])).
% 0.23/0.42 thf(f643,plain,(
% 0.23/0.42 ($false = $true) | ((p @ sK4) = $true) | (~spl0_7 | ~spl0_11)),
% 0.23/0.42 inference(superposition,[],[f282,f298])).
% 0.23/0.42 thf(f298,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((p @ X1) = $true)) ) | ~spl0_11),
% 0.23/0.42 inference(avatar_component_clause,[],[f297])).
% 0.23/0.42 thf(f297,plain,(
% 0.23/0.42 spl0_11 <=> ! [X1] : (($false = (rel_s4 @ sK2 @ X1)) | ((p @ X1) = $true))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.23/0.42 thf(f282,plain,(
% 0.23/0.42 ((rel_s4 @ sK2 @ sK4) = $true) | ~spl0_7),
% 0.23/0.42 inference(avatar_component_clause,[],[f280])).
% 0.23/0.42 thf(f280,plain,(
% 0.23/0.42 spl0_7 <=> ((rel_s4 @ sK2 @ sK4) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.23/0.42 thf(f630,plain,(
% 0.23/0.42 spl0_25 | spl0_26 | ~spl0_7),
% 0.23/0.42 inference(avatar_split_clause,[],[f616,f280,f626,f622])).
% 0.23/0.42 thf(f616,plain,(
% 0.23/0.42 ((p @ sK4) = $false) | ((q @ sK4) = $true) | ~spl0_7),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f610])).
% 0.23/0.42 thf(f610,plain,(
% 0.23/0.42 ((p @ sK4) = $false) | ((q @ sK4) = $true) | ($false = $true) | ~spl0_7),
% 0.23/0.42 inference(superposition,[],[f604,f175])).
% 0.23/0.42 thf(f175,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $false) | ((q @ X1) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f174])).
% 0.23/0.42 thf(f174,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((q @ X1) = $true) | ($false = (rel_s4 @ sK1 @ X1)) | ((~ (p @ X1)) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f173])).
% 0.23/0.42 thf(f173,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ($true = ((~ (p @ X1)) | (q @ X1)))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f172])).
% 0.23/0.42 thf(f172,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((~ ((~ (p @ X1)) | (q @ X1))) = $false)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f170])).
% 0.23/0.42 thf(f170,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = ((~ ((~ (p @ X1)) | (q @ X1))) | (~ ((~ (q @ X1)) | (p @ X1))))) | ($false = (rel_s4 @ sK1 @ X1))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f169])).
% 0.23/0.42 thf(f169,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((~ ((~ ((~ (p @ X1)) | (q @ X1))) | (~ ((~ (q @ X1)) | (p @ X1))))) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f168])).
% 0.23/0.42 thf(f168,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((~ (rel_s4 @ sK1 @ X1)) = $true) | ((~ ((~ ((~ (p @ X1)) | (q @ X1))) | (~ ((~ (q @ X1)) | (p @ X1))))) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f167])).
% 0.23/0.42 thf(f167,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((~ ((~ ((~ (p @ X1)) | (q @ X1))) | (~ ((~ (q @ X1)) | (p @ X1))))) | (~ (rel_s4 @ sK1 @ X1))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f166])).
% 0.23/0.42 thf(f166,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ ((~ ((~ (p @ Y0)) | (q @ Y0))) | (~ ((~ (q @ Y0)) | (p @ Y0))))) | (~ (rel_s4 @ sK1 @ Y0)))) @ X1) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f165])).
% 0.23/0.42 thf(f165,plain,(
% 0.23/0.42 ((!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((~ (p @ Y0)) | (q @ Y0))) | (~ ((~ (q @ Y0)) | (p @ Y0))))) | (~ (rel_s4 @ sK1 @ Y0))))) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f164])).
% 0.23/0.42 thf(f164,plain,(
% 0.23/0.42 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((~ (p @ Y0)) | (q @ Y0))) | (~ ((~ (q @ Y0)) | (p @ Y0))))) | (~ (rel_s4 @ sK1 @ Y0)))))))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f162])).
% 0.23/0.42 thf(f162,plain,(
% 0.23/0.42 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((~ (p @ Y0)) | (q @ Y0))) | (~ ((~ (q @ Y0)) | (p @ Y0))))) | (~ (rel_s4 @ sK1 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK1 @ Y0)))))) = $false)),
% 0.23/0.42 inference(beta_eta_normalization,[],[f161])).
% 0.23/0.42 thf(f161,plain,(
% 0.23/0.42 ($false = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((~ (p @ Y1)) | (q @ Y1))) | (~ ((~ (q @ Y1)) | (p @ Y1))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((p @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((p @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) @ sK1))),
% 0.23/0.42 inference(sigma_clausification,[],[f160])).
% 0.23/0.42 thf(f160,plain,(
% 0.23/0.42 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((~ (p @ Y1)) | (q @ Y1))) | (~ ((~ (q @ Y1)) | (p @ Y1))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((p @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((p @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))),
% 0.23/0.42 inference(beta_eta_normalization,[],[f156])).
% 0.23/0.42 thf(f156,plain,(
% 0.23/0.42 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))) @ p @ q)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ q))))) != $true)),
% 0.23/0.42 inference(definition_unfolding,[],[f139,f128,f145,f136,f147,f136,f147,f136,f136])).
% 0.23/0.42 thf(f147,plain,(
% 0.23/0.42 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))))),
% 0.23/0.42 inference(definition_unfolding,[],[f129,f144,f145,f145])).
% 0.23/0.42 thf(f144,plain,(
% 0.23/0.42 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.23/0.42 inference(definition_unfolding,[],[f125,f124,f122,f124,f124])).
% 0.23/0.42 thf(f122,plain,(
% 0.23/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f61])).
% 0.23/0.42 thf(f61,plain,(
% 0.23/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.42 inference(fool_elimination,[],[f60])).
% 0.23/0.42 thf(f60,plain,(
% 0.23/0.42 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.23/0.42 inference(rectify,[],[f4])).
% 0.23/0.42 thf(f4,axiom,(
% 0.23/0.42 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.23/0.42 thf(f124,plain,(
% 0.23/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f82])).
% 0.23/0.42 thf(f82,plain,(
% 0.23/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.42 inference(fool_elimination,[],[f81])).
% 0.23/0.42 thf(f81,plain,(
% 0.23/0.42 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.23/0.42 inference(rectify,[],[f3])).
% 0.23/0.42 thf(f3,axiom,(
% 0.23/0.42 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.23/0.42 thf(f125,plain,(
% 0.23/0.42 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f98])).
% 0.23/0.42 thf(f98,plain,(
% 0.23/0.42 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.23/0.42 inference(fool_elimination,[],[f97])).
% 0.23/0.42 thf(f97,plain,(
% 0.23/0.42 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.23/0.42 inference(rectify,[],[f5])).
% 0.23/0.42 thf(f5,axiom,(
% 0.23/0.42 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.23/0.42 thf(f129,plain,(
% 0.23/0.42 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f50])).
% 0.23/0.42 thf(f50,plain,(
% 0.23/0.42 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.23/0.42 inference(fool_elimination,[],[f49])).
% 0.23/0.42 thf(f49,plain,(
% 0.23/0.42 (mequiv = (^[X0 : $i > $o, X1 : $i > $o] : (mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0))))),
% 0.23/0.42 inference(rectify,[],[f8])).
% 0.23/0.42 thf(f8,axiom,(
% 0.23/0.42 (mequiv = (^[X3 : $i > $o, X4 : $i > $o] : (mand @ (mimplies @ X3 @ X4) @ (mimplies @ X4 @ X3))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
% 0.23/0.42 thf(f136,plain,(
% 0.23/0.42 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f65])).
% 0.23/0.42 thf(f65,plain,(
% 0.23/0.42 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 0.23/0.42 inference(fool_elimination,[],[f64])).
% 0.23/0.42 thf(f64,plain,(
% 0.23/0.42 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)),
% 0.23/0.42 inference(rectify,[],[f32])).
% 0.23/0.42 thf(f32,axiom,(
% 0.23/0.42 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : (~(rel_s4 @ X2 @ X7) | (X3 @ X7)))) = mbox_s4)),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.23/0.42 thf(f145,plain,(
% 0.23/0.42 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.23/0.42 inference(definition_unfolding,[],[f140,f122,f124])).
% 0.23/0.42 thf(f140,plain,(
% 0.23/0.42 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.42 inference(cnf_transformation,[],[f63])).
% 0.23/0.42 thf(f63,plain,(
% 0.23/0.42 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.42 inference(fool_elimination,[],[f62])).
% 0.23/0.42 thf(f62,plain,(
% 0.23/0.42 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.23/0.42 inference(rectify,[],[f6])).
% 0.23/0.42 thf(f6,axiom,(
% 0.23/0.42 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.23/0.42 thf(f128,plain,(
% 0.23/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.42 inference(cnf_transformation,[],[f48])).
% 0.23/0.42 thf(f48,plain,(
% 0.23/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.42 inference(fool_elimination,[],[f47])).
% 0.23/0.42 thf(f47,plain,(
% 0.23/0.42 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.23/0.42 inference(rectify,[],[f28])).
% 0.23/0.42 thf(f28,axiom,(
% 0.23/0.42 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.23/0.42 thf(f139,plain,(
% 0.23/0.42 ((mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q))))) != $true)),
% 0.23/0.42 inference(cnf_transformation,[],[f107])).
% 0.23/0.42 thf(f107,plain,(
% 0.23/0.42 ((mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q))))) != $true)),
% 0.23/0.42 inference(flattening,[],[f54])).
% 0.23/0.42 thf(f54,plain,(
% 0.23/0.42 ~((mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q))))) = $true)),
% 0.23/0.42 inference(fool_elimination,[],[f53])).
% 0.23/0.42 thf(f53,plain,(
% 0.23/0.42 ~(mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q)))))),
% 0.23/0.42 inference(rectify,[],[f37])).
% 0.23/0.42 thf(f37,negated_conjecture,(
% 0.23/0.42 ~(mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q)))))),
% 0.23/0.42 inference(negated_conjecture,[],[f36])).
% 0.23/0.42 thf(f36,conjecture,(
% 0.23/0.42 (mvalid @ (mimplies @ (mbox_s4 @ (mequiv @ p @ q)) @ (mbox_s4 @ (mequiv @ (mbox_s4 @ p) @ (mbox_s4 @ q)))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.23/0.42 thf(f604,plain,(
% 0.23/0.42 ((rel_s4 @ sK1 @ sK4) = $true) | ~spl0_7),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f597])).
% 0.23/0.42 thf(f597,plain,(
% 0.23/0.42 ($false = $true) | ((rel_s4 @ sK1 @ sK4) = $true) | ~spl0_7),
% 0.23/0.42 inference(superposition,[],[f282,f332])).
% 0.23/0.42 thf(f332,plain,(
% 0.23/0.42 ( ! [X0 : $i] : (($false = (rel_s4 @ sK2 @ X0)) | ((rel_s4 @ sK1 @ X0) = $true)) )),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f326])).
% 0.23/0.42 thf(f326,plain,(
% 0.23/0.42 ( ! [X0 : $i] : (($false = $true) | ((rel_s4 @ sK1 @ X0) = $true) | ($false = (rel_s4 @ sK2 @ X0))) )),
% 0.23/0.42 inference(superposition,[],[f241,f250])).
% 0.23/0.42 thf(f250,plain,(
% 0.23/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel_s4 @ X3 @ X2)) | ((rel_s4 @ X3 @ X1) = $true) | ($false = (rel_s4 @ X2 @ X1))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f249])).
% 0.23/0.42 thf(f249,plain,(
% 0.23/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((rel_s4 @ X3 @ X1) = $true) | ($false = ((rel_s4 @ X2 @ X1) & (rel_s4 @ X3 @ X2)))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f248])).
% 0.23/0.42 thf(f248,plain,(
% 0.23/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s4 @ X2 @ X1) & (rel_s4 @ X3 @ X2)) => (rel_s4 @ X3 @ X1)) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f247])).
% 0.23/0.42 thf(f247,plain,(
% 0.23/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rel_s4 @ X2 @ X1) & (rel_s4 @ Y0 @ X2)) => (rel_s4 @ Y0 @ X1))) @ X3) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f246])).
% 0.23/0.42 thf(f246,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X2 @ X1) & (rel_s4 @ Y0 @ X2)) => (rel_s4 @ Y0 @ X1)))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f245])).
% 0.23/0.42 thf(f245,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ X1) & (rel_s4 @ Y1 @ Y0)) => (rel_s4 @ Y1 @ X1))))) @ X2) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f244])).
% 0.23/0.42 thf(f244,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ X1) & (rel_s4 @ Y1 @ Y0)) => (rel_s4 @ Y1 @ X1)))))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f243])).
% 0.23/0.42 thf(f243,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y0) & (rel_s4 @ Y2 @ Y1)) => (rel_s4 @ Y2 @ Y0))))))) @ X1) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f242])).
% 0.23/0.42 thf(f242,plain,(
% 0.23/0.42 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y0) & (rel_s4 @ Y2 @ Y1)) => (rel_s4 @ Y2 @ Y0)))))))) = $true)),
% 0.23/0.42 inference(beta_eta_normalization,[],[f154])).
% 0.23/0.42 thf(f154,plain,(
% 0.23/0.42 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))) @ rel_s4) = $true)),
% 0.23/0.42 inference(definition_unfolding,[],[f120,f127])).
% 0.23/0.42 thf(f127,plain,(
% 0.23/0.42 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f90])).
% 0.23/0.42 thf(f90,plain,(
% 0.23/0.42 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.23/0.42 inference(fool_elimination,[],[f89])).
% 0.23/0.42 thf(f89,plain,(
% 0.23/0.42 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3)))))),
% 0.23/0.42 inference(rectify,[],[f21])).
% 0.23/0.42 thf(f21,axiom,(
% 0.23/0.42 (mtransitive = (^[X6 : $i > $i > $o] : (! [X8,X9,X10] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.23/0.42 thf(f120,plain,(
% 0.23/0.42 ((mtransitive @ rel_s4) = $true)),
% 0.23/0.42 inference(cnf_transformation,[],[f59])).
% 0.23/0.42 thf(f59,plain,(
% 0.23/0.42 ((mtransitive @ rel_s4) = $true)),
% 0.23/0.42 inference(fool_elimination,[],[f58])).
% 0.23/0.42 thf(f58,plain,(
% 0.23/0.42 (mtransitive @ rel_s4)),
% 0.23/0.42 inference(rectify,[],[f35])).
% 0.23/0.42 thf(f35,axiom,(
% 0.23/0.42 (mtransitive @ rel_s4)),
% 0.23/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
% 0.23/0.42 thf(f241,plain,(
% 0.23/0.42 ((rel_s4 @ sK1 @ sK2) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f181])).
% 0.23/0.42 thf(f181,plain,(
% 0.23/0.42 ($false = (~ (rel_s4 @ sK1 @ sK2)))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f180])).
% 0.23/0.42 thf(f180,plain,(
% 0.23/0.42 (((~ ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))))) | (~ (rel_s4 @ sK1 @ sK2))) = $false)),
% 0.23/0.42 inference(beta_eta_normalization,[],[f179])).
% 0.23/0.42 thf(f179,plain,(
% 0.23/0.42 ($false = ((^[Y0 : $i]: ((~ ((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK1 @ Y0)))) @ sK2))),
% 0.23/0.42 inference(sigma_clausification,[],[f163])).
% 0.23/0.42 thf(f163,plain,(
% 0.23/0.42 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK1 @ Y0))))))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f162])).
% 0.23/0.42 thf(f585,plain,(
% 0.23/0.42 ~spl0_12 | ~spl0_16),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f584])).
% 0.23/0.42 thf(f584,plain,(
% 0.23/0.42 $false | (~spl0_12 | ~spl0_16)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f581])).
% 0.23/0.42 thf(f581,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_12 | ~spl0_16)),
% 0.23/0.42 inference(superposition,[],[f303,f464])).
% 0.23/0.42 thf(f464,plain,(
% 0.23/0.42 ((p @ sK3) = $true) | ~spl0_16),
% 0.23/0.42 inference(avatar_component_clause,[],[f462])).
% 0.23/0.42 thf(f462,plain,(
% 0.23/0.42 spl0_16 <=> ((p @ sK3) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.23/0.42 thf(f303,plain,(
% 0.23/0.42 ($false = (p @ sK3)) | ~spl0_12),
% 0.23/0.42 inference(avatar_component_clause,[],[f301])).
% 0.23/0.42 thf(f301,plain,(
% 0.23/0.42 spl0_12 <=> ($false = (p @ sK3))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.23/0.42 thf(f578,plain,(
% 0.23/0.42 ~spl0_8 | ~spl0_10 | ~spl0_15),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f577])).
% 0.23/0.42 thf(f577,plain,(
% 0.23/0.42 $false | (~spl0_8 | ~spl0_10 | ~spl0_15)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f574])).
% 0.23/0.42 thf(f574,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_8 | ~spl0_10 | ~spl0_15)),
% 0.23/0.42 inference(superposition,[],[f460,f571])).
% 0.23/0.42 thf(f571,plain,(
% 0.23/0.42 ((q @ sK3) = $true) | (~spl0_8 | ~spl0_10)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f562])).
% 0.23/0.42 thf(f562,plain,(
% 0.23/0.42 ($false = $true) | ((q @ sK3) = $true) | (~spl0_8 | ~spl0_10)),
% 0.23/0.42 inference(superposition,[],[f295,f285])).
% 0.23/0.42 thf(f285,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((q @ X1) = $true)) ) | ~spl0_8),
% 0.23/0.42 inference(avatar_component_clause,[],[f284])).
% 0.23/0.42 thf(f284,plain,(
% 0.23/0.42 spl0_8 <=> ! [X1] : (($false = (rel_s4 @ sK2 @ X1)) | ((q @ X1) = $true))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.23/0.42 thf(f295,plain,(
% 0.23/0.42 ((rel_s4 @ sK2 @ sK3) = $true) | ~spl0_10),
% 0.23/0.42 inference(avatar_component_clause,[],[f293])).
% 0.23/0.42 thf(f293,plain,(
% 0.23/0.42 spl0_10 <=> ((rel_s4 @ sK2 @ sK3) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.23/0.42 thf(f460,plain,(
% 0.23/0.42 ($false = (q @ sK3)) | ~spl0_15),
% 0.23/0.42 inference(avatar_component_clause,[],[f458])).
% 0.23/0.42 thf(f458,plain,(
% 0.23/0.42 spl0_15 <=> ($false = (q @ sK3))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.23/0.42 thf(f560,plain,(
% 0.23/0.42 ~spl0_5 | ~spl0_6 | ~spl0_11),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f559])).
% 0.23/0.42 thf(f559,plain,(
% 0.23/0.42 $false | (~spl0_5 | ~spl0_6 | ~spl0_11)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f556])).
% 0.23/0.42 thf(f556,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_5 | ~spl0_6 | ~spl0_11)),
% 0.23/0.42 inference(superposition,[],[f277,f554])).
% 0.23/0.42 thf(f554,plain,(
% 0.23/0.42 ((p @ sK6) = $true) | (~spl0_5 | ~spl0_11)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f546])).
% 0.23/0.42 thf(f546,plain,(
% 0.23/0.42 ($false = $true) | ((p @ sK6) = $true) | (~spl0_5 | ~spl0_11)),
% 0.23/0.42 inference(superposition,[],[f272,f298])).
% 0.23/0.42 thf(f272,plain,(
% 0.23/0.42 ((rel_s4 @ sK2 @ sK6) = $true) | ~spl0_5),
% 0.23/0.42 inference(avatar_component_clause,[],[f270])).
% 0.23/0.42 thf(f270,plain,(
% 0.23/0.42 spl0_5 <=> ((rel_s4 @ sK2 @ sK6) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.23/0.42 thf(f277,plain,(
% 0.23/0.42 ((p @ sK6) = $false) | ~spl0_6),
% 0.23/0.42 inference(avatar_component_clause,[],[f275])).
% 0.23/0.42 thf(f275,plain,(
% 0.23/0.42 spl0_6 <=> ((p @ sK6) = $false)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.23/0.42 thf(f519,plain,(
% 0.23/0.42 ~spl0_1 | ~spl0_4 | ~spl0_8),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f518])).
% 0.23/0.42 thf(f518,plain,(
% 0.23/0.42 $false | (~spl0_1 | ~spl0_4 | ~spl0_8)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f515])).
% 0.23/0.42 thf(f515,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_1 | ~spl0_4 | ~spl0_8)),
% 0.23/0.42 inference(superposition,[],[f268,f513])).
% 0.23/0.42 thf(f513,plain,(
% 0.23/0.42 ((q @ sK5) = $true) | (~spl0_1 | ~spl0_8)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f506])).
% 0.23/0.42 thf(f506,plain,(
% 0.23/0.42 ((q @ sK5) = $true) | ($false = $true) | (~spl0_1 | ~spl0_8)),
% 0.23/0.42 inference(superposition,[],[f285,f254])).
% 0.23/0.42 thf(f254,plain,(
% 0.23/0.42 ((rel_s4 @ sK2 @ sK5) = $true) | ~spl0_1),
% 0.23/0.42 inference(avatar_component_clause,[],[f252])).
% 0.23/0.42 thf(f252,plain,(
% 0.23/0.42 spl0_1 <=> ((rel_s4 @ sK2 @ sK5) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.23/0.42 thf(f268,plain,(
% 0.23/0.42 ($false = (q @ sK5)) | ~spl0_4),
% 0.23/0.42 inference(avatar_component_clause,[],[f266])).
% 0.23/0.42 thf(f266,plain,(
% 0.23/0.42 spl0_4 <=> ($false = (q @ sK5))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.23/0.42 thf(f493,plain,(
% 0.23/0.42 spl0_16 | spl0_15 | ~spl0_10),
% 0.23/0.42 inference(avatar_split_clause,[],[f452,f293,f458,f462])).
% 0.23/0.42 thf(f452,plain,(
% 0.23/0.42 ($false = (q @ sK3)) | ((p @ sK3) = $true) | ~spl0_10),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f446])).
% 0.23/0.42 thf(f446,plain,(
% 0.23/0.42 ($false = (q @ sK3)) | ($false = $true) | ((p @ sK3) = $true) | ~spl0_10),
% 0.23/0.42 inference(superposition,[],[f369,f178])).
% 0.23/0.42 thf(f178,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true) | ($false = (q @ X1))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f177])).
% 0.23/0.42 thf(f177,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((~ (q @ X1)) = $true) | ((p @ X1) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f176])).
% 0.23/0.42 thf(f176,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | (((~ (q @ X1)) | (p @ X1)) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f171])).
% 0.23/0.42 thf(f171,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (~ ((~ (q @ X1)) | (p @ X1)))) | ($false = (rel_s4 @ sK1 @ X1))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f170])).
% 0.23/0.42 thf(f369,plain,(
% 0.23/0.42 ((rel_s4 @ sK1 @ sK3) = $true) | ~spl0_10),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f360])).
% 0.23/0.42 thf(f360,plain,(
% 0.23/0.42 ($false = $true) | ((rel_s4 @ sK1 @ sK3) = $true) | ~spl0_10),
% 0.23/0.42 inference(superposition,[],[f332,f295])).
% 0.23/0.42 thf(f342,plain,(
% 0.23/0.42 ~spl0_2 | ~spl0_3 | ~spl0_11),
% 0.23/0.42 inference(avatar_contradiction_clause,[],[f341])).
% 0.23/0.42 thf(f341,plain,(
% 0.23/0.42 $false | (~spl0_2 | ~spl0_3 | ~spl0_11)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f337])).
% 0.23/0.42 thf(f337,plain,(
% 0.23/0.42 ($false = $true) | (~spl0_2 | ~spl0_3 | ~spl0_11)),
% 0.23/0.42 inference(superposition,[],[f320,f263])).
% 0.23/0.42 thf(f263,plain,(
% 0.23/0.42 ($false = (p @ sK7)) | ~spl0_3),
% 0.23/0.42 inference(avatar_component_clause,[],[f261])).
% 0.23/0.42 thf(f261,plain,(
% 0.23/0.42 spl0_3 <=> ($false = (p @ sK7))),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.23/0.42 thf(f320,plain,(
% 0.23/0.42 ((p @ sK7) = $true) | (~spl0_2 | ~spl0_11)),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f315])).
% 0.23/0.42 thf(f315,plain,(
% 0.23/0.42 ($false = $true) | ((p @ sK7) = $true) | (~spl0_2 | ~spl0_11)),
% 0.23/0.42 inference(superposition,[],[f298,f258])).
% 0.23/0.42 thf(f258,plain,(
% 0.23/0.42 ((rel_s4 @ sK2 @ sK7) = $true) | ~spl0_2),
% 0.23/0.42 inference(avatar_component_clause,[],[f256])).
% 0.23/0.42 thf(f256,plain,(
% 0.23/0.42 spl0_2 <=> ((rel_s4 @ sK2 @ sK7) = $true)),
% 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.23/0.42 thf(f305,plain,(
% 0.23/0.42 spl0_11 | spl0_8),
% 0.23/0.42 inference(avatar_split_clause,[],[f200,f284,f297])).
% 0.23/0.42 thf(f200,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((p @ X2) = $true) | ($false = (rel_s4 @ sK2 @ X2)) | ((q @ X1) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f199])).
% 0.23/0.42 thf(f199,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : (((q @ X1) = $true) | ((p @ X2) = $true) | ($false = (rel_s4 @ sK2 @ X1)) | ((~ (rel_s4 @ sK2 @ X2)) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f198])).
% 0.23/0.42 thf(f198,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s4 @ sK2 @ X1)) = $true) | ((~ (rel_s4 @ sK2 @ X2)) = $true) | ((p @ X2) = $true) | ((q @ X1) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f197])).
% 0.23/0.42 thf(f197,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : ((((p @ X2) | (~ (rel_s4 @ sK2 @ X2))) = $true) | ((q @ X1) = $true) | ((~ (rel_s4 @ sK2 @ X1)) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f196])).
% 0.23/0.42 thf(f196,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : ((((q @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true) | (((p @ X2) | (~ (rel_s4 @ sK2 @ X2))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f195])).
% 0.23/0.42 thf(f195,plain,(
% 0.23/0.42 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ X2) = $true) | (((q @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f194])).
% 0.23/0.42 thf(f194,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true) | (((q @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f193])).
% 0.23/0.42 thf(f193,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true) | (((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ X1) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f192])).
% 0.23/0.42 thf(f192,plain,(
% 0.23/0.42 ((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f191])).
% 0.23/0.42 thf(f191,plain,(
% 0.23/0.42 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true)),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f189])).
% 0.23/0.42 thf(f189,plain,(
% 0.23/0.42 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f188])).
% 0.23/0.42 thf(f188,plain,(
% 0.23/0.42 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f187])).
% 0.23/0.42 thf(f187,plain,(
% 0.23/0.42 ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) = $false) | ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true)),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f185])).
% 0.23/0.42 thf(f185,plain,(
% 0.23/0.42 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true)),
% 0.23/0.42 inference(not_proxy_clausification,[],[f184])).
% 0.23/0.42 thf(f184,plain,(
% 0.23/0.42 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true) | ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true)),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f183])).
% 0.23/0.42 thf(f183,plain,(
% 0.23/0.42 ($true = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))))))),
% 0.23/0.42 inference(not_proxy_clausification,[],[f182])).
% 0.23/0.42 thf(f182,plain,(
% 0.23/0.42 ((~ ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))))) = $false)),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f180])).
% 0.23/0.42 thf(f304,plain,(
% 0.23/0.42 spl0_11 | spl0_12),
% 0.23/0.42 inference(avatar_split_clause,[],[f208,f301,f297])).
% 0.23/0.42 thf(f208,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((p @ X1) = $true) | ($false = (p @ sK3))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f207])).
% 0.23/0.42 thf(f207,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((p @ X1) = $true) | ((~ (rel_s4 @ sK2 @ X1)) = $true) | ($false = (p @ sK3))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f206])).
% 0.23/0.42 thf(f206,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true) | ($false = (p @ sK3))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f204])).
% 0.23/0.42 thf(f204,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = ((p @ sK3) | (~ (rel_s4 @ sK2 @ sK3)))) | (((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f203])).
% 0.23/0.42 thf(f203,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK3)) | (((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(sigma_clausification,[],[f202])).
% 0.23/0.42 thf(f202,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f201])).
% 0.23/0.42 thf(f201,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) )),
% 0.23/0.42 inference(pi_clausification,[],[f190])).
% 0.23/0.42 thf(f190,plain,(
% 0.23/0.42 ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f189])).
% 0.23/0.42 thf(f299,plain,(
% 0.23/0.42 spl0_10 | spl0_11),
% 0.23/0.42 inference(avatar_split_clause,[],[f211,f297,f293])).
% 0.23/0.42 thf(f211,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((rel_s4 @ sK2 @ sK3) = $true) | ($false = (rel_s4 @ sK2 @ X1)) | ((p @ X1) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f210])).
% 0.23/0.42 thf(f210,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((rel_s4 @ sK2 @ sK3) = $true) | ((~ (rel_s4 @ sK2 @ X1)) = $true) | ((p @ X1) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f209])).
% 0.23/0.42 thf(f209,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true) | ((rel_s4 @ sK2 @ sK3) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f205])).
% 0.23/0.42 thf(f205,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (~ (rel_s4 @ sK2 @ sK3))) | (((p @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true)) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f204])).
% 0.23/0.42 thf(f291,plain,(
% 0.23/0.42 spl0_8 | spl0_9),
% 0.23/0.42 inference(avatar_split_clause,[],[f223,f288,f284])).
% 0.23/0.42 thf(f223,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((q @ X1) = $true) | ($false = (rel_s4 @ sK2 @ X1)) | ($false = (q @ sK4))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f221])).
% 0.23/0.42 thf(f221,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ($false = ((q @ sK4) | (~ (rel_s4 @ sK2 @ sK4)))) | ((q @ X1) = $true)) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f220])).
% 0.23/0.42 thf(f220,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((q @ X1) = $true) | ($false = ((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK4))) )),
% 0.23/0.42 inference(sigma_clausification,[],[f219])).
% 0.23/0.42 thf(f219,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((q @ X1) = $true) | ($false = (rel_s4 @ sK2 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f218])).
% 0.23/0.42 thf(f218,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (((q @ X1) = $true) | ((~ (rel_s4 @ sK2 @ X1)) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f217])).
% 0.23/0.42 thf(f217,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((q @ X1) | (~ (rel_s4 @ sK2 @ X1))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f216])).
% 0.23/0.42 thf(f216,plain,(
% 0.23/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) )),
% 0.23/0.42 inference(pi_clausification,[],[f215])).
% 0.23/0.42 thf(f215,plain,(
% 0.23/0.42 ((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.42 inference(not_proxy_clausification,[],[f214])).
% 0.23/0.42 thf(f214,plain,(
% 0.23/0.42 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f212])).
% 0.23/0.42 thf(f212,plain,(
% 0.23/0.42 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.42 inference(not_proxy_clausification,[],[f186])).
% 0.23/0.42 thf(f186,plain,(
% 0.23/0.42 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f185])).
% 0.23/0.42 thf(f286,plain,(
% 0.23/0.42 spl0_7 | spl0_8),
% 0.23/0.42 inference(avatar_split_clause,[],[f224,f284,f280])).
% 0.23/0.42 thf(f224,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (rel_s4 @ sK2 @ X1)) | ((q @ X1) = $true) | ((rel_s4 @ sK2 @ sK4) = $true)) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f222])).
% 0.23/0.42 thf(f222,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($false = (~ (rel_s4 @ sK2 @ sK4))) | ((q @ X1) = $true) | ($false = (rel_s4 @ sK2 @ X1))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f221])).
% 0.23/0.42 thf(f278,plain,(
% 0.23/0.42 spl0_6 | spl0_4),
% 0.23/0.42 inference(avatar_split_clause,[],[f232,f266,f275])).
% 0.23/0.42 thf(f232,plain,(
% 0.23/0.42 ((p @ sK6) = $false) | ($false = (q @ sK5))),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f230])).
% 0.23/0.42 thf(f230,plain,(
% 0.23/0.42 ($false = (q @ sK5)) | (((p @ sK6) | (~ (rel_s4 @ sK2 @ sK6))) = $false)),
% 0.23/0.42 inference(beta_eta_normalization,[],[f229])).
% 0.23/0.42 thf(f229,plain,(
% 0.23/0.42 ($false = ((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK6)) | ($false = (q @ sK5))),
% 0.23/0.42 inference(sigma_clausification,[],[f228])).
% 0.23/0.42 thf(f228,plain,(
% 0.23/0.43 ($false = (q @ sK5)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f226])).
% 0.23/0.43 thf(f226,plain,(
% 0.23/0.43 ($false = ((q @ sK5) | (~ (rel_s4 @ sK2 @ sK5)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.43 inference(beta_eta_normalization,[],[f225])).
% 0.23/0.43 thf(f225,plain,(
% 0.23/0.43 (((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK5) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.43 inference(sigma_clausification,[],[f213])).
% 0.23/0.43 thf(f213,plain,(
% 0.23/0.43 ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f212])).
% 0.23/0.43 thf(f273,plain,(
% 0.23/0.43 spl0_4 | spl0_5),
% 0.23/0.43 inference(avatar_split_clause,[],[f233,f270,f266])).
% 0.23/0.43 thf(f233,plain,(
% 0.23/0.43 ((rel_s4 @ sK2 @ sK6) = $true) | ($false = (q @ sK5))),
% 0.23/0.43 inference(not_proxy_clausification,[],[f231])).
% 0.23/0.43 thf(f231,plain,(
% 0.23/0.43 ((~ (rel_s4 @ sK2 @ sK6)) = $false) | ($false = (q @ sK5))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f230])).
% 0.23/0.43 thf(f264,plain,(
% 0.23/0.43 spl0_1 | spl0_3),
% 0.23/0.43 inference(avatar_split_clause,[],[f238,f261,f252])).
% 0.23/0.43 thf(f238,plain,(
% 0.23/0.43 ((rel_s4 @ sK2 @ sK5) = $true) | ($false = (p @ sK7))),
% 0.23/0.43 inference(not_proxy_clausification,[],[f237])).
% 0.23/0.43 thf(f237,plain,(
% 0.23/0.43 ($false = (~ (rel_s4 @ sK2 @ sK5))) | ($false = (p @ sK7))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f235])).
% 0.23/0.43 thf(f235,plain,(
% 0.23/0.43 ($false = ((p @ sK7) | (~ (rel_s4 @ sK2 @ sK7)))) | ($false = (~ (rel_s4 @ sK2 @ sK5)))),
% 0.23/0.43 inference(beta_eta_normalization,[],[f234])).
% 0.23/0.43 thf(f234,plain,(
% 0.23/0.43 ($false = ((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK7)) | ($false = (~ (rel_s4 @ sK2 @ sK5)))),
% 0.23/0.43 inference(sigma_clausification,[],[f227])).
% 0.23/0.43 thf(f227,plain,(
% 0.23/0.43 ($false = (!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))))) | ($false = (~ (rel_s4 @ sK2 @ sK5)))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f226])).
% 0.23/0.43 thf(f259,plain,(
% 0.23/0.43 spl0_1 | spl0_2),
% 0.23/0.43 inference(avatar_split_clause,[],[f240,f256,f252])).
% 0.23/0.43 thf(f240,plain,(
% 0.23/0.43 ((rel_s4 @ sK2 @ sK5) = $true) | ((rel_s4 @ sK2 @ sK7) = $true)),
% 0.23/0.43 inference(not_proxy_clausification,[],[f239])).
% 0.23/0.43 thf(f239,plain,(
% 0.23/0.43 ($false = (~ (rel_s4 @ sK2 @ sK5))) | ((rel_s4 @ sK2 @ sK7) = $true)),
% 0.23/0.43 inference(not_proxy_clausification,[],[f236])).
% 0.23/0.43 thf(f236,plain,(
% 0.23/0.43 ((~ (rel_s4 @ sK2 @ sK7)) = $false) | ($false = (~ (rel_s4 @ sK2 @ sK5)))),
% 0.23/0.43 inference(binary_proxy_clausification,[],[f235])).
% 0.23/0.43 % SZS output end Proof for theBenchmark
% 0.23/0.43 % (31955)------------------------------
% 0.23/0.43 % (31955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (31955)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (31955)Memory used [KB]: 6012
% 0.23/0.43 % (31955)Time elapsed: 0.033 s
% 0.23/0.43 % (31955)Instructions burned: 39 (million)
% 0.23/0.43 % (31955)------------------------------
% 0.23/0.43 % (31955)------------------------------
% 0.23/0.43 % (31954)Success in time 0.042 s
% 0.23/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------