TSTP Solution File: COM187^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM187^1 : TPTP v8.2.0. 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 : n026.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 : Mon May 20 19:11:02 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COM187^1 : TPTP v8.2.0. Released v7.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 10:15:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  This is a TH1_THM_EQU_NAR problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.14/0.39  % (9728)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40  % (9729)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)
% 0.14/0.40  % (9730)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)
% 0.14/0.40  % (9731)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (9733)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)
% 0.14/0.40  % (9732)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)
% 0.14/0.40  % (9734)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40  % (9735)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)
% 0.14/0.40  % (9731)Instruction limit reached!
% 0.14/0.40  % (9731)------------------------------
% 0.14/0.40  % (9731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (9731)Termination reason: Unknown
% 0.14/0.40  % (9731)Termination phase: shuffling
% 0.14/0.40  % (9732)Instruction limit reached!
% 0.14/0.40  % (9732)------------------------------
% 0.14/0.40  % (9732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  
% 0.14/0.40  % (9731)Memory used [KB]: 1407
% 0.14/0.40  % (9731)Time elapsed: 0.004 s
% 0.14/0.40  % (9731)Instructions burned: 3 (million)
% 0.14/0.40  % (9731)------------------------------
% 0.14/0.40  % (9731)------------------------------
% 0.14/0.40  % (9732)Termination reason: Unknown
% 0.14/0.40  % (9732)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (9732)Memory used [KB]: 1407
% 0.14/0.40  % (9732)Time elapsed: 0.004 s
% 0.14/0.40  % (9732)Instructions burned: 3 (million)
% 0.14/0.40  % (9732)------------------------------
% 0.14/0.40  % (9732)------------------------------
% 0.14/0.40  % (9735)Instruction limit reached!
% 0.14/0.40  % (9735)------------------------------
% 0.14/0.40  % (9735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (9735)Termination reason: Unknown
% 0.14/0.40  % (9735)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (9735)Memory used [KB]: 1407
% 0.14/0.40  % (9735)Time elapsed: 0.004 s
% 0.14/0.40  % (9735)Instructions burned: 3 (million)
% 0.14/0.40  % (9735)------------------------------
% 0.14/0.40  % (9735)------------------------------
% 0.14/0.40  % (9729)Instruction limit reached!
% 0.14/0.40  % (9729)------------------------------
% 0.14/0.40  % (9729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (9729)Termination reason: Unknown
% 0.14/0.40  % (9729)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (9729)Memory used [KB]: 1535
% 0.14/0.40  % (9729)Time elapsed: 0.005 s
% 0.14/0.40  % (9729)Instructions burned: 5 (million)
% 0.14/0.40  % (9729)------------------------------
% 0.14/0.40  % (9729)------------------------------
% 0.14/0.41  % (9734)Instruction limit reached!
% 0.14/0.41  % (9734)------------------------------
% 0.14/0.41  % (9734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (9734)Termination reason: Unknown
% 0.14/0.41  % (9734)Termination phase: shuffling
% 0.14/0.41  
% 0.14/0.41  % (9734)Memory used [KB]: 1791
% 0.14/0.41  % (9734)Time elapsed: 0.014 s
% 0.14/0.41  % (9734)Instructions burned: 18 (million)
% 0.14/0.41  % (9734)------------------------------
% 0.14/0.41  % (9734)------------------------------
% 0.14/0.41  % (9736)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)
% 0.14/0.41  % (9737)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)
% 0.14/0.41  % (9738)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)
% 0.14/0.41  % (9739)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)
% 0.14/0.42  % (9730)Instruction limit reached!
% 0.14/0.42  % (9730)------------------------------
% 0.14/0.42  % (9730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (9730)Termination reason: Unknown
% 0.14/0.42  % (9730)Termination phase: Property scanning
% 0.14/0.42  
% 0.14/0.42  % (9730)Memory used [KB]: 1918
% 0.14/0.42  % (9730)Time elapsed: 0.020 s
% 0.14/0.42  % (9730)Instructions burned: 29 (million)
% 0.14/0.42  % (9730)------------------------------
% 0.14/0.42  % (9730)------------------------------
% 0.14/0.42  % (9738)Instruction limit reached!
% 0.14/0.42  % (9738)------------------------------
% 0.14/0.42  % (9738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (9738)Termination reason: Unknown
% 0.14/0.42  % (9738)Termination phase: shuffling
% 0.14/0.42  
% 0.14/0.42  % (9738)Memory used [KB]: 1407
% 0.14/0.42  % (9738)Time elapsed: 0.004 s
% 0.14/0.42  % (9738)Instructions burned: 3 (million)
% 0.14/0.42  % (9738)------------------------------
% 0.14/0.42  % (9738)------------------------------
% 0.14/0.42  % (9737)Instruction limit reached!
% 0.14/0.42  % (9737)------------------------------
% 0.14/0.42  % (9737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (9737)Termination reason: Unknown
% 0.14/0.42  % (9737)Termination phase: shuffling
% 0.14/0.42  
% 0.14/0.42  % (9737)Memory used [KB]: 1791
% 0.14/0.42  % (9737)Time elapsed: 0.012 s
% 0.14/0.42  % (9737)Instructions burned: 15 (million)
% 0.14/0.42  % (9737)------------------------------
% 0.14/0.42  % (9737)------------------------------
% 0.14/0.42  % (9740)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43  % (9740)Instruction limit reached!
% 0.21/0.43  % (9740)------------------------------
% 0.21/0.43  % (9740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (9740)Termination reason: Unknown
% 0.21/0.43  % (9740)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (9740)Memory used [KB]: 1535
% 0.21/0.43  % (9740)Time elapsed: 0.007 s
% 0.21/0.43  % (9740)Instructions burned: 8 (million)
% 0.21/0.43  % (9740)------------------------------
% 0.21/0.43  % (9740)------------------------------
% 0.21/0.43  % (9741)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43  % (9742)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)
% 0.21/0.43  % (9742)Instruction limit reached!
% 0.21/0.43  % (9742)------------------------------
% 0.21/0.43  % (9742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (9742)Termination reason: Unknown
% 0.21/0.43  % (9742)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (9742)Memory used [KB]: 1407
% 0.21/0.43  % (9742)Time elapsed: 0.004 s
% 0.21/0.43  % (9742)Instructions burned: 3 (million)
% 0.21/0.43  % (9742)------------------------------
% 0.21/0.43  % (9742)------------------------------
% 0.21/0.43  % (9736)Instruction limit reached!
% 0.21/0.43  % (9736)------------------------------
% 0.21/0.43  % (9736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (9736)Termination reason: Unknown
% 0.21/0.43  % (9736)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (9736)Memory used [KB]: 2174
% 0.21/0.43  % (9736)Time elapsed: 0.022 s
% 0.21/0.43  % (9736)Instructions burned: 38 (million)
% 0.21/0.43  % (9736)------------------------------
% 0.21/0.43  % (9736)------------------------------
% 0.21/0.44  % (9743)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44  % (9741)Instruction limit reached!
% 0.21/0.44  % (9741)------------------------------
% 0.21/0.44  % (9741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (9741)Termination reason: Unknown
% 0.21/0.44  % (9741)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (9741)Memory used [KB]: 1663
% 0.21/0.44  % (9741)Time elapsed: 0.012 s
% 0.21/0.44  % (9741)Instructions burned: 16 (million)
% 0.21/0.44  % (9741)------------------------------
% 0.21/0.44  % (9741)------------------------------
% 0.21/0.44  % (9743)Instruction limit reached!
% 0.21/0.44  % (9743)------------------------------
% 0.21/0.44  % (9743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (9743)Termination reason: Unknown
% 0.21/0.44  % (9743)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (9743)Memory used [KB]: 1407
% 0.21/0.44  % (9743)Time elapsed: 0.004 s
% 0.21/0.44  % (9743)Instructions burned: 3 (million)
% 0.21/0.44  % (9743)------------------------------
% 0.21/0.44  % (9743)------------------------------
% 0.21/0.44  % (9733)First to succeed.
% 0.21/0.44  % (9728)Instruction limit reached!
% 0.21/0.44  % (9728)------------------------------
% 0.21/0.44  % (9728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (9728)Termination reason: Unknown
% 0.21/0.44  % (9728)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (9728)Memory used [KB]: 7291
% 0.21/0.44  % (9728)Time elapsed: 0.053 s
% 0.21/0.44  % (9728)Instructions burned: 183 (million)
% 0.21/0.44  % (9728)------------------------------
% 0.21/0.44  % (9728)------------------------------
% 0.21/0.44  % (9744)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.44  % (9733)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% 0.21/0.44  thf(type_def_5, type, itself: ($tType) > $tType).
% 0.21/0.44  thf(type_def_7, type, n: $tType).
% 0.21/0.44  thf(type_def_8, type, t: $tType).
% 0.21/0.44  thf(type_def_9, type, dtree: $tType).
% 0.21/0.44  thf(type_def_10, type, sum_sum: ($tType * $tType) > $tType).
% 0.21/0.44  thf(type_def_11, type, set: ($tType) > $tType).
% 0.21/0.44  thf(type_def_12, type, product_prod: ($tType * $tType) > $tType).
% 0.21/0.44  thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.21/0.44  thf(func_def_1, type, sum_sum: ($tType * $tType) > $tType).
% 0.21/0.44  thf(func_def_2, type, dtree: $tType).
% 0.21/0.44  thf(func_def_3, type, set: ($tType) > $tType).
% 0.21/0.44  thf(func_def_4, type, t: $tType).
% 0.21/0.44  thf(func_def_5, type, n: $tType).
% 0.21/0.44  thf(func_def_6, type, itself: ($tType) > $tType).
% 0.21/0.44  thf(func_def_7, type, finite_finite: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.21/0.44  thf(func_def_8, type, node: n > set @ sum_sum @ t @ dtree > dtree).
% 0.21/0.44  thf(func_def_9, type, cont: dtree > set @ sum_sum @ t @ dtree).
% 0.21/0.44  thf(func_def_10, type, root: dtree > n).
% 0.21/0.44  thf(func_def_11, type, unfold: !>[X0: $tType]:((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree)).
% 0.21/0.44  thf(func_def_12, type, finite_finite2: !>[X0: $tType]:(set @ X0 > $o)).
% 0.21/0.44  thf(func_def_13, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.21/0.44  thf(func_def_14, type, id: !>[X0: $tType]:(X0 > X0)).
% 0.21/0.44  thf(func_def_15, type, inj_on: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > $o)).
% 0.21/0.44  thf(func_def_16, type, gram_L1451583632elle_P: set @ product_prod @ n @ set @ sum_sum @ t @ n).
% 0.21/0.44  thf(func_def_17, type, gram_L1451583635elle_S: n > set @ sum_sum @ t @ n).
% 0.21/0.44  thf(func_def_18, type, gram_L1231612515_deftr: n > dtree).
% 0.21/0.44  thf(func_def_19, type, gram_L1004374585hsubst: dtree > dtree > dtree).
% 0.21/0.44  thf(func_def_20, type, gram_L1905609002ubst_c: dtree > dtree > set @ sum_sum @ t @ dtree).
% 0.21/0.44  thf(func_def_21, type, gram_L1905609017ubst_r: dtree > n).
% 0.21/0.44  thf(func_def_22, type, gram_L1333338417e_inFr: set @ n > dtree > t > $o).
% 0.21/0.44  thf(func_def_23, type, gram_L805317441_inFr2: set @ n > dtree > t > $o).
% 0.21/0.44  thf(func_def_24, type, gram_L805317505_inFrr: set @ n > dtree > t > $o).
% 0.21/0.44  thf(func_def_25, type, gram_L830233218_inItr: set @ n > dtree > n > $o).
% 0.21/0.44  thf(func_def_26, type, gram_L716654942_subtr: set @ n > dtree > dtree > $o).
% 0.21/0.44  thf(func_def_27, type, gram_L1283001940subtr2: set @ n > dtree > dtree > $o).
% 0.21/0.44  thf(func_def_28, type, gram_L1614515765ubtrOf: dtree > n > dtree).
% 0.21/0.44  thf(func_def_29, type, gram_L864798063lle_wf: dtree > $o).
% 0.21/0.44  thf(func_def_30, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.21/0.44  thf(func_def_31, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.21/0.44  thf(func_def_32, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.21/0.44  thf(func_def_33, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.21/0.44  thf(func_def_34, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.21/0.44  thf(func_def_35, type, image: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1)).
% 0.21/0.44  thf(func_def_36, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.21/0.44  thf(func_def_37, type, vimage: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X1 > set @ X0)).
% 0.21/0.44  thf(func_def_38, type, sum_Inl: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X0 @ X1)).
% 0.21/0.44  thf(func_def_39, type, sum_Inr: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X1 @ X0)).
% 0.21/0.44  thf(func_def_40, type, sum_map_sum: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > sum_sum @ X0 @ X2 > sum_sum @ X1 @ X3)).
% 0.21/0.44  thf(func_def_41, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1)).
% 0.21/0.44  thf(func_def_42, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.21/0.44  thf(func_def_43, type, tr: dtree).
% 0.21/0.44  thf(func_def_44, type, tr0: dtree).
% 0.21/0.44  thf(func_def_62, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 0.21/0.44  thf(func_def_63, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:(X2 > sum_sum @ X0 @ X1 > (X1 > X2) > X1)).
% 0.21/0.44  thf(func_def_64, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType]:(X2 > sum_sum @ X1 @ X0 > (X1 > X2) > X1)).
% 0.21/0.44  thf(func_def_65, type, sK3: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > $o) > X1)).
% 0.21/0.44  thf(func_def_66, type, sK4: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > $o) > X0)).
% 0.21/0.44  thf(func_def_67, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.21/0.44  thf(func_def_68, type, sK6: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.21/0.44  thf(func_def_69, type, sK7: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.21/0.44  thf(func_def_70, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ sum_sum @ X0 @ X1 > (X1 > X2) > X2 > X1)).
% 0.21/0.44  thf(func_def_71, type, sK9: !>[X0: $tType, X1: $tType]:((X0 > $o) > set @ X1 > (X1 > X0) > X1)).
% 0.21/0.44  thf(func_def_72, type, sK10: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.21/0.44  thf(func_def_73, type, sK11: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.21/0.44  thf(func_def_74, type, sK12: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.21/0.44  thf(func_def_75, type, sK13: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.21/0.44  thf(func_def_76, type, sK14: !>[X0: $tType]:((X0 > X0) > X0)).
% 0.21/0.44  thf(func_def_77, type, sK15: !>[X0: $tType, X1: $tType]:((X0 > $o) > set @ X1 > (X1 > X0) > X0)).
% 0.21/0.44  thf(func_def_78, type, sK16: !>[X0: $tType, X1: $tType]:(set @ X1 > (X1 > X0) > X0 > X1)).
% 0.21/0.44  thf(func_def_79, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:($o > (sum_sum @ X0 @ X1 > X2) > X2 > X1)).
% 0.21/0.44  thf(func_def_80, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:($o > (sum_sum @ X0 @ X1 > X2) > X2 > X0)).
% 0.21/0.44  thf(func_def_81, type, sK19: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 0.21/0.44  thf(func_def_82, type, sK20: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 0.21/0.44  thf(func_def_83, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ sum_sum @ X1 @ X2 > (X2 > X0) > X0 > X2)).
% 0.21/0.44  thf(func_def_85, type, ph23: !>[X0: $tType]:(X0)).
% 0.21/0.44  thf(f934,plain,(
% 0.21/0.44    $false),
% 0.21/0.44    inference(subsumption_resolution,[],[f826,f820])).
% 0.21/0.44  thf(f820,plain,(
% 0.21/0.44    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X0,X4 : set @ sum_sum @ X2 @ X1] : (((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ X4) = (vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ (image @ sum_sum @ X2 @ X1 @ sum_sum @ X2 @ X0 @ (sum_map_sum @ X2 @ X2 @ X1 @ X0 @ id @ X2 @ X3) @ X4)))) )),
% 0.21/0.44    inference(cnf_transformation,[],[f626])).
% 0.21/0.44  thf(f626,plain,(
% 0.21/0.44    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X1 > X0,X4 : set @ sum_sum @ X2 @ X1] : ((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ X4) = (vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ (image @ sum_sum @ X2 @ X1 @ sum_sum @ X2 @ X0 @ (sum_map_sum @ X2 @ X2 @ X1 @ X0 @ id @ X2 @ X3) @ X4)))),
% 0.21/0.44    inference(rectify,[],[f3])).
% 0.21/0.44  thf(f3,axiom,(
% 0.21/0.44    ! [X1 : $tType,X2 : $tType,X0 : $tType,X5 : X2 > X1,X6 : set @ sum_sum @ X0 @ X2] : ((vimage @ X0 @ sum_sum @ X0 @ X1 @ sum_Inl @ X0 @ X1 @ (image @ sum_sum @ X0 @ X2 @ sum_sum @ X0 @ X1 @ (sum_map_sum @ X0 @ X0 @ X2 @ X1 @ id @ X0 @ X5) @ X6)) = (vimage @ X0 @ sum_sum @ X0 @ X2 @ sum_Inl @ X0 @ X2 @ X6))),
% 0.21/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Inl__m__oplus)).
% 0.21/0.44  thf(f826,plain,(
% 0.21/0.44    ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr))) != (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr)))),
% 0.21/0.44    inference(cnf_transformation,[],[f608])).
% 0.21/0.44  thf(f608,plain,(
% 0.21/0.44    ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr))) != (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr)))),
% 0.21/0.44    inference(flattening,[],[f266])).
% 0.21/0.44  thf(f266,negated_conjecture,(
% 0.21/0.44    ~((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr))) = (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr)))),
% 0.21/0.44    inference(negated_conjecture,[],[f265])).
% 0.21/0.44  thf(f265,conjecture,(
% 0.21/0.44    ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr))) = (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr)))),
% 0.21/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.21/0.44  % SZS output end Proof for theBenchmark
% 0.21/0.44  % (9733)------------------------------
% 0.21/0.44  % (9733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (9733)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (9733)Memory used [KB]: 7036
% 0.21/0.44  % (9733)Time elapsed: 0.047 s
% 0.21/0.44  % (9733)Instructions burned: 74 (million)
% 0.21/0.44  % (9733)------------------------------
% 0.21/0.44  % (9733)------------------------------
% 0.21/0.44  % (9727)Success in time 0.063 s
% 0.21/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------