TSTP Solution File: COM206^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM206^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n002.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 : Sun May 5 04:47:06 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM206^1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.15 % 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
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 21:26:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 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/tmp/tmp.D6sRyPz9Kr/Vampire---4.8_10791
% 0.15/0.40 % (11044)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.40 % (11043)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.40 % (11045)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (11046)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (11042)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.40 % (11047)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.40 % (11048)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.40 % (11049)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (11045)Instruction limit reached!
% 0.15/0.40 % (11045)------------------------------
% 0.15/0.40 % (11045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11046)Instruction limit reached!
% 0.15/0.40 % (11046)------------------------------
% 0.15/0.40 % (11046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11045)Termination reason: Unknown
% 0.15/0.40 % (11045)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11045)Memory used [KB]: 1407
% 0.15/0.40 % (11045)Time elapsed: 0.004 s
% 0.15/0.40 % (11045)Instructions burned: 3 (million)
% 0.15/0.40 % (11045)------------------------------
% 0.15/0.40 % (11045)------------------------------
% 0.15/0.40 % (11046)Termination reason: Unknown
% 0.15/0.40 % (11046)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11046)Memory used [KB]: 1407
% 0.15/0.40 % (11046)Time elapsed: 0.004 s
% 0.15/0.40 % (11046)Instructions burned: 3 (million)
% 0.15/0.40 % (11046)------------------------------
% 0.15/0.40 % (11046)------------------------------
% 0.15/0.40 % (11043)Instruction limit reached!
% 0.15/0.40 % (11043)------------------------------
% 0.15/0.40 % (11043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11043)Termination reason: Unknown
% 0.15/0.40 % (11043)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11043)Memory used [KB]: 1535
% 0.15/0.40 % (11043)Time elapsed: 0.004 s
% 0.15/0.40 % (11043)Instructions burned: 4 (million)
% 0.15/0.40 % (11043)------------------------------
% 0.15/0.40 % (11043)------------------------------
% 0.15/0.40 % (11049)Instruction limit reached!
% 0.15/0.40 % (11049)------------------------------
% 0.15/0.40 % (11049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11049)Termination reason: Unknown
% 0.15/0.40 % (11049)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11049)Memory used [KB]: 1407
% 0.15/0.40 % (11049)Time elapsed: 0.005 s
% 0.15/0.40 % (11049)Instructions burned: 4 (million)
% 0.15/0.40 % (11049)------------------------------
% 0.15/0.40 % (11049)------------------------------
% 0.21/0.41 % (11048)Instruction limit reached!
% 0.21/0.41 % (11048)------------------------------
% 0.21/0.41 % (11048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (11048)Termination reason: Unknown
% 0.21/0.41 % (11048)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (11048)Memory used [KB]: 1791
% 0.21/0.41 % (11048)Time elapsed: 0.014 s
% 0.21/0.41 % (11048)Instructions burned: 18 (million)
% 0.21/0.41 % (11048)------------------------------
% 0.21/0.41 % (11048)------------------------------
% 0.21/0.41 % (11044)Instruction limit reached!
% 0.21/0.41 % (11044)------------------------------
% 0.21/0.41 % (11044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (11044)Termination reason: Unknown
% 0.21/0.41 % (11044)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (11050)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.41 % (11044)Memory used [KB]: 1791
% 0.21/0.41 % (11044)Time elapsed: 0.019 s
% 0.21/0.41 % (11044)Instructions burned: 28 (million)
% 0.21/0.41 % (11044)------------------------------
% 0.21/0.41 % (11044)------------------------------
% 0.21/0.41 % (11051)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.41 % (11052)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (11053)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.42 % (11052)Instruction limit reached!
% 0.21/0.42 % (11052)------------------------------
% 0.21/0.42 % (11052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11052)Termination reason: Unknown
% 0.21/0.42 % (11052)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (11052)Memory used [KB]: 1407
% 0.21/0.42 % (11052)Time elapsed: 0.004 s
% 0.21/0.42 % (11052)Instructions burned: 3 (million)
% 0.21/0.42 % (11052)------------------------------
% 0.21/0.42 % (11052)------------------------------
% 0.21/0.42 % (11051)Instruction limit reached!
% 0.21/0.42 % (11051)------------------------------
% 0.21/0.42 % (11051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11051)Termination reason: Unknown
% 0.21/0.42 % (11051)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (11051)Memory used [KB]: 1791
% 0.21/0.42 % (11051)Time elapsed: 0.012 s
% 0.21/0.42 % (11051)Instructions burned: 15 (million)
% 0.21/0.42 % (11051)------------------------------
% 0.21/0.42 % (11051)------------------------------
% 0.21/0.42 % (11054)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.43 % (11047)First to succeed.
% 0.21/0.43 % (11054)Instruction limit reached!
% 0.21/0.43 % (11054)------------------------------
% 0.21/0.43 % (11054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11054)Termination reason: Unknown
% 0.21/0.43 % (11054)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (11054)Memory used [KB]: 1535
% 0.21/0.43 % (11054)Time elapsed: 0.007 s
% 0.21/0.43 % (11054)Instructions burned: 7 (million)
% 0.21/0.43 % (11054)------------------------------
% 0.21/0.43 % (11054)------------------------------
% 0.21/0.43 % (11047)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% 0.21/0.43 thf(type_def_5, type, itself: ($tType) > $tType).
% 0.21/0.43 thf(type_def_7, type, set: ($tType) > $tType).
% 0.21/0.43 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 0.21/0.43 thf(type_def_9, type, dtree: $tType).
% 0.21/0.43 thf(type_def_10, type, t: $tType).
% 0.21/0.43 thf(type_def_11, type, sum_sum: ($tType * $tType) > $tType).
% 0.21/0.43 thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.21/0.43 thf(func_def_1, type, sum_sum: ($tType * $tType) > $tType).
% 0.21/0.43 thf(func_def_2, type, dtree: $tType).
% 0.21/0.43 thf(func_def_3, type, set: ($tType) > $tType).
% 0.21/0.43 thf(func_def_4, type, t: $tType).
% 0.21/0.43 thf(func_def_5, type, itself: ($tType) > $tType).
% 0.21/0.43 thf(func_def_6, type, bounded_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_7, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_8, type, lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_9, type, distrib_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_10, type, semilattice_inf: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_11, type, semilattice_sup: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_12, type, bounded_lattice_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_13, type, bounde1561333602nf_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.43 thf(func_def_14, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2)).
% 0.21/0.43 thf(func_def_15, type, cont: dtree > set @ sum_sum @ t @ dtree).
% 0.21/0.43 thf(func_def_16, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.21/0.43 thf(func_def_17, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.21/0.43 thf(func_def_18, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.21/0.43 thf(func_def_19, type, sup_sup: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.21/0.43 thf(func_def_20, type, top_top: !>[X0: $tType]:(X0)).
% 0.21/0.43 thf(func_def_21, type, parall1899940088le_par: product_prod @ dtree @ dtree > dtree).
% 0.21/0.43 thf(func_def_22, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.21/0.43 thf(func_def_23, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2)).
% 0.21/0.43 thf(func_def_24, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.21/0.43 thf(func_def_25, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3)).
% 0.21/0.43 thf(func_def_26, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.21/0.43 thf(func_def_27, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.21/0.43 thf(func_def_28, type, product_swap: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > product_prod @ X1 @ X0)).
% 0.21/0.43 thf(func_def_29, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3)).
% 0.21/0.43 thf(func_def_30, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.21/0.43 thf(func_def_31, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.21/0.43 thf(func_def_32, type, image: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1)).
% 0.21/0.43 thf(func_def_33, type, vimage: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X1 > set @ X0)).
% 0.21/0.43 thf(func_def_34, type, sum_Inl: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X0 @ X1)).
% 0.21/0.43 thf(func_def_35, type, sum_Inr: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X1 @ X0)).
% 0.21/0.43 thf(func_def_36, type, sum_Plus: !>[X0: $tType, X1: $tType]:(set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1)).
% 0.21/0.43 thf(func_def_37, type, sum_Suml: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > sum_sum @ X0 @ X2 > X1)).
% 0.21/0.43 thf(func_def_38, type, sum_Sumr: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > sum_sum @ X2 @ X0 > X1)).
% 0.21/0.43 thf(func_def_39, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1)).
% 0.21/0.43 thf(func_def_40, type, sum_case_sum: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1)).
% 0.21/0.43 thf(func_def_41, type, type_definition: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X1 > X0) > set @ X1 > $o)).
% 0.21/0.43 thf(func_def_42, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.21/0.43 thf(func_def_43, type, tr1: dtree).
% 0.21/0.43 thf(func_def_44, type, tr1a: dtree).
% 0.21/0.43 thf(func_def_45, type, tr2: dtree).
% 0.21/0.43 thf(func_def_46, type, tr2a: dtree).
% 0.21/0.43 thf(func_def_47, type, trA: dtree).
% 0.21/0.43 thf(func_def_48, type, trA2: dtree).
% 0.21/0.43 thf(func_def_49, type, trB: dtree).
% 0.21/0.43 thf(func_def_61, type, sK0: product_prod @ dtree @ dtree > dtree).
% 0.21/0.43 thf(func_def_62, type, sK1: product_prod @ dtree @ dtree > dtree).
% 0.21/0.43 thf(func_def_63, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0)).
% 0.21/0.43 thf(func_def_64, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1)).
% 0.21/0.43 thf(func_def_65, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2)).
% 0.21/0.43 thf(func_def_66, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3)).
% 0.21/0.43 thf(func_def_67, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4)).
% 0.21/0.43 thf(func_def_68, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5)).
% 0.21/0.43 thf(func_def_69, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 0.21/0.43 thf(func_def_70, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.21/0.43 thf(func_def_71, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.21/0.43 thf(func_def_72, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.21/0.43 thf(func_def_73, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_74, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_75, type, sK14: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.21/0.43 thf(func_def_76, type, sK15: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.21/0.43 thf(func_def_77, type, sK16: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.21/0.43 thf(func_def_78, type, sK17: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.21/0.43 thf(func_def_79, type, sK18: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.21/0.43 thf(func_def_80, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X0)).
% 0.21/0.43 thf(func_def_81, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X1)).
% 0.21/0.43 thf(func_def_82, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X2)).
% 0.21/0.43 thf(func_def_83, type, sK22: (product_prod @ dtree @ dtree > $o) > dtree).
% 0.21/0.43 thf(func_def_84, type, sK23: (product_prod @ dtree @ dtree > $o) > dtree).
% 0.21/0.43 thf(func_def_85, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0)).
% 0.21/0.43 thf(func_def_86, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1)).
% 0.21/0.43 thf(func_def_87, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2)).
% 0.21/0.43 thf(func_def_88, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3)).
% 0.21/0.43 thf(func_def_89, type, sK28: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_90, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_91, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.21/0.43 thf(func_def_92, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.21/0.43 thf(func_def_93, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.21/0.43 thf(func_def_94, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_95, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_96, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0)).
% 0.21/0.43 thf(func_def_97, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1)).
% 0.21/0.43 thf(func_def_98, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2)).
% 0.21/0.43 thf(func_def_99, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3)).
% 0.21/0.43 thf(func_def_100, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4)).
% 0.21/0.43 thf(func_def_101, type, sK40: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_102, type, sK41: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_103, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0)).
% 0.21/0.43 thf(func_def_104, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1)).
% 0.21/0.43 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2)).
% 0.21/0.43 thf(func_def_106, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3)).
% 0.21/0.43 thf(func_def_107, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4)).
% 0.21/0.43 thf(func_def_108, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5)).
% 0.21/0.43 thf(func_def_109, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6)).
% 0.21/0.43 thf(func_def_110, type, sK49: dtree).
% 0.21/0.43 thf(func_def_111, type, sK50: dtree).
% 0.21/0.43 thf(func_def_112, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.21/0.43 thf(func_def_113, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.21/0.43 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_115, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_116, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6)).
% 0.21/0.43 thf(func_def_117, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 0.21/0.43 thf(func_def_118, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.21/0.43 thf(func_def_119, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.21/0.43 thf(func_def_120, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.21/0.43 thf(func_def_121, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_122, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_123, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.21/0.43 thf(func_def_124, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.21/0.43 thf(func_def_125, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.21/0.43 thf(func_def_127, type, ph66: !>[X0: $tType]:(X0)).
% 0.21/0.43 thf(f763,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f762])).
% 0.21/0.43 thf(f762,plain,(
% 0.21/0.43 ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)) != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))),
% 0.21/0.43 inference(equality_resolution,[],[f747])).
% 0.21/0.43 thf(f747,plain,(
% 0.21/0.43 ( ! [X0 : dtree,X1 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))) | ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)) != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1)))) )),
% 0.21/0.43 inference(definition_unfolding,[],[f705,f707])).
% 0.21/0.43 thf(f707,plain,(
% 0.21/0.43 (trA = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))),
% 0.21/0.43 inference(cnf_transformation,[],[f4])).
% 0.21/0.43 thf(f4,axiom,(
% 0.21/0.43 (trA = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))),
% 0.21/0.43 file('/export/starexec/sandbox/tmp/tmp.D6sRyPz9Kr/Vampire---4.8_10791',fact_3__092_060open_062trA_H_A_061_Atr1_H_A_092_060parallel_062_Atr2_H_092_060close_062)).
% 0.21/0.43 thf(f705,plain,(
% 0.21/0.43 ( ! [X0 : dtree,X1 : dtree] : ((trA != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))) | ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0)))) )),
% 0.21/0.43 inference(cnf_transformation,[],[f634])).
% 0.21/0.43 thf(f634,plain,(
% 0.21/0.43 ! [X0 : dtree,X1 : dtree] : ((trA != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))) | ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) != (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))),
% 0.21/0.43 inference(ennf_transformation,[],[f617])).
% 0.21/0.43 thf(f617,plain,(
% 0.21/0.43 ~? [X0 : dtree,X1 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))) & (trA = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))),
% 0.21/0.43 inference(rectify,[],[f285])).
% 0.21/0.43 thf(f285,negated_conjecture,(
% 0.21/0.43 ~? [X111 : dtree,X112 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X112 @ X111))) & (trA = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X111 @ X112))))),
% 0.21/0.43 inference(negated_conjecture,[],[f284])).
% 0.21/0.43 thf(f284,conjecture,(
% 0.21/0.43 ? [X111 : dtree,X112 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2 @ tr1)) = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X112 @ X111))) & (trA = (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X111 @ X112))))),
% 0.21/0.43 file('/export/starexec/sandbox/tmp/tmp.D6sRyPz9Kr/Vampire---4.8_10791',conj_3)).
% 0.21/0.43 % SZS output end Proof for Vampire---4
% 0.21/0.43 % (11047)------------------------------
% 0.21/0.43 % (11047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11047)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (11047)Memory used [KB]: 6524
% 0.21/0.43 % (11047)Time elapsed: 0.033 s
% 0.21/0.43 % (11047)Instructions burned: 47 (million)
% 0.21/0.43 % (11047)------------------------------
% 0.21/0.43 % (11047)------------------------------
% 0.21/0.43 % (11041)Success in time 0.049 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------