%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM184^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:25 AM UTC 2026
% Result : Theorem 0.56s 0.41s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM184^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:51:42 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.41 % (941973)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.41 % (941979)lrs+10_16_si=on:nwc=1.5:random_seed=1150343422:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.41 % (941984)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.41 % (941984)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.41 % (941979)Instruction limit reached!
% 0.56/0.41 % (941979)------------------------------
% 0.56/0.41 % (941979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941979)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941979)Termination reason: Instruction limit
% 0.56/0.41 % (941979)Termination phase: shuffling
% 0.56/0.41 % (941979)Time elapsed: 0.005 s
% 0.56/0.41 % (941979)Peak memory usage: 10 MB
% 0.56/0.41 % (941979)Instructions burned: 18 (million)
% 0.56/0.41 % (941978)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3942043189:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.41 % (941980)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1872672447:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.41 % (941981)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1106804966:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.56/0.41 % (941984)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=674223389:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.41 % (941982)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1219008628:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.41 % (941983)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2473989815:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.41 % (941980)Instruction limit reached!
% 0.56/0.41 % (941980)------------------------------
% 0.56/0.41 % (941980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941980)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941980)Termination reason: Instruction limit
% 0.56/0.41 % (941980)Termination phase: shuffling
% 0.56/0.41 % (941980)Time elapsed: 0.002 s
% 0.56/0.41 % (941980)Peak memory usage: 10 MB
% 0.56/0.41 % (941980)Instructions burned: 3 (million)
% 0.56/0.41 % (941982)Instruction limit reached!
% 0.56/0.41 % (941982)------------------------------
% 0.56/0.41 % (941982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941982)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941982)Termination reason: Instruction limit
% 0.56/0.41 % (941982)Termination phase: Property scanning
% 0.56/0.41 % (941982)Time elapsed: 0.012 s
% 0.56/0.41 % (941982)Peak memory usage: 10 MB
% 0.56/0.41 % (941982)Instructions burned: 25 (million)
% 0.56/0.41 % (941986)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3258998853:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.41 % (941986)Instruction limit reached!
% 0.56/0.41 % (941986)------------------------------
% 0.56/0.41 % (941986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941986)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941986)Termination reason: Instruction limit
% 0.56/0.41 % (941986)Termination phase: shuffling
% 0.56/0.41 % (941986)Time elapsed: 0.001 s
% 0.56/0.41 % (941986)Peak memory usage: 10 MB
% 0.56/0.41 % (941986)Instructions burned: 3 (million)
% 0.56/0.41 % (941993)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2144577072:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.41 % (941993)Instruction limit reached!
% 0.56/0.41 % (941993)------------------------------
% 0.56/0.41 % (941993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941993)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941993)Termination reason: Instruction limit
% 0.56/0.41 % (941993)Termination phase: shuffling
% 0.56/0.41 % (941993)Time elapsed: 0.003 s
% 0.56/0.41 % (941993)Peak memory usage: 10 MB
% 0.56/0.41 % (941993)Instructions burned: 14 (million)
% 0.56/0.41 % (941998)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.41 % (941998)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.41 % (941983)Instruction limit reached!
% 0.56/0.41 % (941983)------------------------------
% 0.56/0.41 % (941983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941983)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941983)Termination reason: Instruction limit
% 0.56/0.41 % (941983)Termination phase: Property scanning
% 0.56/0.41 % (941983)Time elapsed: 0.036 s
% 0.56/0.41 % (941983)Peak memory usage: 12 MB
% 0.56/0.41 % (941983)Instructions burned: 75 (million)
% 0.56/0.41 % (941998)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3525246246:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.41 % (941996)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2209585557:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.41 % (941994)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.41 % (941994)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2679502521:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.41 % (941998)Instruction limit reached!
% 0.56/0.41 % (941998)------------------------------
% 0.56/0.41 % (941998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941998)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941998)Termination reason: Instruction limit
% 0.56/0.41 % (941998)Termination phase: shuffling
% 0.56/0.41 % (941998)Time elapsed: 0.008 s
% 0.56/0.41 % (941998)Peak memory usage: 10 MB
% 0.56/0.41 % (941998)Instructions burned: 31 (million)
% 0.56/0.41 % (941996)Instruction limit reached!
% 0.56/0.41 % (941996)------------------------------
% 0.56/0.41 % (941996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941996)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941996)Termination reason: Instruction limit
% 0.56/0.41 % (941996)Termination phase: shuffling
% 0.56/0.41 % (941996)Time elapsed: 0.007 s
% 0.56/0.41 % (941996)Peak memory usage: 10 MB
% 0.56/0.41 % (941996)Instructions burned: 13 (million)
% 0.56/0.41 % (941978)Instruction limit reached!
% 0.56/0.41 % (941978)------------------------------
% 0.56/0.41 % (941978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941978)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941978)Termination reason: Instruction limit
% 0.56/0.41 % (941978)Termination phase: Property scanning
% 0.56/0.41 % (941978)Time elapsed: 0.047 s
% 0.56/0.41 % (941978)Peak memory usage: 12 MB
% 0.56/0.41 % (941978)Instructions burned: 89 (million)
% 0.56/0.41 % (941994)Instruction limit reached!
% 0.56/0.41 % (941994)------------------------------
% 0.56/0.41 % (941994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941994)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941994)Termination reason: Instruction limit
% 0.56/0.41 % (941994)Termination phase: shuffling
% 0.56/0.41 % (941994)Time elapsed: 0.007 s
% 0.56/0.41 % (941994)Peak memory usage: 10 MB
% 0.56/0.41 % (941994)Instructions burned: 8 (million)
% 0.56/0.41 % (942003)lrs+10_1_si=on:cs=on:random_seed=2589780139:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.56/0.41 % (942003)Instruction limit reached!
% 0.56/0.41 % (942003)------------------------------
% 0.56/0.41 % (942003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (942003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (942003)CaDiCaL version: 2.1.3
% 0.56/0.41 % (942003)Termination reason: Instruction limit
% 0.56/0.41 % (942003)Termination phase: shuffling
% 0.56/0.41 % (942003)Time elapsed: 0.003 s
% 0.56/0.41 % (942003)Peak memory usage: 10 MB
% 0.56/0.41 % (942003)Instructions burned: 11 (million)
% 0.56/0.41 % (942000)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1770927212:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.41 % (942004)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.41 % (942005)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1315547623:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.56/0.41 % (942006)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2949283022:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.56/0.41 % (942004)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=484838940:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.56/0.41 % (942004)Instruction limit reached!
% 0.56/0.41 % (942004)------------------------------
% 0.56/0.41 % (942004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (942004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (942004)CaDiCaL version: 2.1.3
% 0.56/0.41 % (942004)Termination reason: Instruction limit
% 0.56/0.41 % (942004)Termination phase: shuffling
% 0.56/0.41 % (942004)Time elapsed: 0.001 s
% 0.56/0.41 % (942004)Peak memory usage: 10 MB
% 0.56/0.41 % (942004)Instructions burned: 2 (million)
% 0.56/0.41 % (941984)Instruction limit reached!
% 0.56/0.41 % (941984)------------------------------
% 0.56/0.41 % (941984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (941984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (941984)CaDiCaL version: 2.1.3
% 0.56/0.41 % (941984)Termination reason: Instruction limit
% 0.56/0.41 % (941984)Termination phase: Saturation
% 0.56/0.41 % (941984)Time elapsed: 0.080 s
% 0.56/0.41 % (941984)Peak memory usage: 14 MB
% 0.56/0.41 % (941984)Instructions burned: 157 (million)
% 0.56/0.41 % (941981) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-941973-941981"...
% 0.56/0.41 % (942005)Instruction limit reached!
% 0.56/0.41 % (942005)------------------------------
% 0.56/0.41 % (942005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (942005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (942005)CaDiCaL version: 2.1.3
% 0.56/0.41 % (942005)Termination reason: Instruction limit
% 0.56/0.41 % (942005)Termination phase: Preprocessing 1
% 0.56/0.41 % (942005)Time elapsed: 0.018 s
% 0.56/0.41 % (942005)Peak memory usage: 11 MB
% 0.56/0.41 % (942005)Instructions burned: 38 (million)
% 0.56/0.41 % (941981)...printing done.
% 0.56/0.41 % (941981)Refutation found. Thanks to Tanya!
% 0.56/0.41 % SZS status Theorem for theBenchmark
% 0.56/0.41 % SZS output start Proof for theBenchmark
% 0.56/0.41 thf(type_def_5, type, sum_sum: ($tType * $tType) > $tType).
% 0.56/0.41 thf(type_def_6, type, dtree: $tType).
% 0.56/0.41 thf(type_def_7, type, set: $tType > $tType).
% 0.56/0.41 thf(type_def_8, type, t: $tType).
% 0.56/0.41 thf(type_def_9, type, n: $tType).
% 0.56/0.41 thf(type_def_10, type, itself: $tType > $tType).
% 0.56/0.41 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.56/0.41 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_1, type, minus: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_2, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_3, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_4, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_5, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.56/0.41 thf(func_def_6, type, basic_setl: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > set @ X0))).
% 0.56/0.41 thf(func_def_7, type, basic_setr: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > set @ X1))).
% 0.56/0.41 thf(func_def_8, type, node: (n > set @ sum_sum @ t @ dtree > dtree)).
% 0.56/0.41 thf(func_def_9, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 0.56/0.41 thf(func_def_10, type, corec: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ sum_sum @ dtree @ X0) > X0 > dtree))).
% 0.56/0.41 thf(func_def_11, type, root: (dtree > n)).
% 0.56/0.41 thf(func_def_12, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 0.56/0.41 thf(func_def_13, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 0.56/0.41 thf(func_def_14, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.56/0.41 thf(func_def_15, type, gram_L861583724lle_Fr: (set @ n > dtree > set @ t)).
% 0.56/0.41 thf(func_def_16, type, gram_L1333338417e_inFr: (set @ n > dtree > t > $o)).
% 0.56/0.41 thf(func_def_17, type, gram_L805317441_inFr2: (set @ n > dtree > t > $o)).
% 0.56/0.41 thf(func_def_18, type, gram_L830233218_inItr: (set @ n > dtree > n > $o)).
% 0.56/0.41 thf(func_def_19, type, gram_L716654942_subtr: (set @ n > dtree > dtree > $o)).
% 0.56/0.41 thf(func_def_20, type, gram_L1283001940subtr2: (set @ n > dtree > dtree > $o)).
% 0.56/0.41 thf(func_def_21, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.56/0.41 thf(func_def_22, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.56/0.41 thf(func_def_23, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_24, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.56/0.41 thf(func_def_25, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.56/0.41 thf(func_def_26, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.56/0.41 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_28, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.56/0.41 thf(func_def_29, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.56/0.41 thf(func_def_30, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.56/0.41 thf(func_def_31, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.56/0.41 thf(func_def_32, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.41 thf(func_def_33, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 0.56/0.41 thf(func_def_34, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 0.56/0.41 thf(func_def_35, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 0.56/0.41 thf(func_def_36, type, sum_Suml: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X0 @ X2 > X1))).
% 0.56/0.41 thf(func_def_37, type, sum_Sumr: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X2 @ X0 > X1))).
% 0.56/0.41 thf(func_def_38, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 0.56/0.41 thf(func_def_39, type, sum_case_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 0.56/0.41 thf(func_def_40, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.56/0.41 thf(func_def_41, type, ns: set @ n).
% 0.56/0.41 thf(func_def_42, type, tr1: dtree).
% 0.56/0.41 thf(func_def_43, type, tr2: dtree).
% 0.56/0.41 thf(func_def_44, type, tr3: dtree).
% 0.56/0.41 thf(func_def_48, type, vOR: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_49, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.56/0.41 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_53, type, db3: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.56/0.41 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_57, type, db5: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_58, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.56/0.41 thf(func_def_59, type, db6: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_60, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.56/0.41 thf(func_def_61, type, vIMP: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_62, type, sK0: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0 > X0))).
% 0.56/0.41 thf(func_def_63, type, sK1: ((set @ n > dtree > n > $o) > dtree)).
% 0.56/0.41 thf(func_def_64, type, sK2: ((set @ n > dtree > n > $o) > set @ n)).
% 0.56/0.41 thf(func_def_65, type, sK3: ((set @ n > dtree > n > $o) > dtree)).
% 0.56/0.41 thf(func_def_66, type, sK4: ((set @ n > dtree > n > $o) > n)).
% 0.56/0.41 thf(func_def_67, type, sK5: ((set @ n > dtree > n > $o) > set @ n)).
% 0.56/0.41 thf(func_def_68, type, sK6: ((set @ n > dtree > n > $o) > dtree)).
% 0.56/0.41 thf(func_def_69, type, sK7: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 0.56/0.41 thf(func_def_70, type, sK8: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.41 thf(func_def_71, type, sK9: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.41 thf(func_def_72, type, sK10: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_73, type, sK11: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 0.56/0.41 thf(func_def_74, type, sK12: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 0.56/0.41 thf(func_def_75, type, sK13: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.41 thf(func_def_76, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > $o) > sum_sum @ X0 @ X1 > X1))).
% 0.56/0.41 thf(func_def_77, type, sK15: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_78, type, sK16: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_79, type, sK17: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_80, type, sK18: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_81, type, sK19: ((set @ n > dtree > dtree > $o) > set @ n)).
% 0.56/0.41 thf(func_def_82, type, sK20: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_83, type, sK21: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_84, type, sK22: ((set @ n > dtree > dtree > $o) > set @ n)).
% 0.56/0.41 thf(func_def_85, type, sK23: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_86, type, sK24: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 0.56/0.41 thf(func_def_87, type, sK25: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 0.56/0.41 thf(func_def_88, type, sK26: (set @ n > n > dtree > dtree)).
% 0.56/0.41 thf(func_def_89, type, sK27: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_90, type, sK28: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_91, type, sK29: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > (X1 > $o) > X1))).
% 0.56/0.41 thf(func_def_92, type, sK30: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_93, type, sK31: ((set @ n > dtree > dtree > $o) > set @ n)).
% 0.56/0.41 thf(func_def_94, type, sK32: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_95, type, sK33: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_96, type, sK34: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_97, type, sK35: ((set @ n > dtree > dtree > $o) > dtree)).
% 0.56/0.41 thf(func_def_98, type, sK36: ((set @ n > dtree > dtree > $o) > set @ n)).
% 0.56/0.41 thf(func_def_99, type, sK37: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.56/0.41 thf(func_def_100, type, sK38: (dtree > set @ sum_sum @ t @ dtree)).
% 0.56/0.41 thf(func_def_101, type, sK39: (dtree > n)).
% 0.56/0.41 thf(func_def_102, type, sK40: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_103, type, sK41: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_104, type, sK42: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_105, type, sK43: (dtree > dtree > set @ n > dtree)).
% 0.56/0.41 thf(func_def_106, type, sK44: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_107, type, sK45: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 0.56/0.41 thf(func_def_108, type, sK46: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.41 thf(func_def_109, type, sK47: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_110, type, sK48: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.41 thf(func_def_111, type, sK49: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_112, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:(((sum_sum @ X0 @ X1 > X2) > $o > X2 > X1))).
% 0.56/0.41 thf(func_def_113, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:(((sum_sum @ X0 @ X1 > X2) > $o > X2 > X0))).
% 0.56/0.41 thf(func_def_114, type, sK52: (dtree > set @ n > t > dtree)).
% 0.56/0.41 thf(func_def_115, type, sK53: (dtree > set @ n > t > set @ n)).
% 0.56/0.41 thf(func_def_116, type, sK54: (dtree > set @ n > t > dtree)).
% 0.56/0.41 thf(func_def_117, type, sK55: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X1))).
% 0.56/0.41 thf(func_def_118, type, sK56: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X0))).
% 0.56/0.41 thf(func_def_119, type, sK57: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.42 thf(func_def_120, type, sK58: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 0.56/0.42 thf(func_def_121, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.56/0.42 thf(func_def_122, type, sK60: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_123, type, sK61: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_124, type, sK62: ((set @ n > dtree > t > $o) > t)).
% 0.56/0.42 thf(func_def_125, type, sK63: ((set @ n > dtree > t > $o) > set @ n)).
% 0.56/0.42 thf(func_def_126, type, sK64: ((set @ n > dtree > t > $o) > set @ n)).
% 0.56/0.42 thf(func_def_127, type, sK65: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_128, type, sK66: ((set @ n > dtree > t > $o) > t)).
% 0.56/0.42 thf(func_def_129, type, sK67: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 0.56/0.42 thf(func_def_130, type, sK68: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 0.56/0.42 thf(func_def_131, type, sK69: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.42 thf(func_def_132, type, sK70: !>[X0: $tType]:((set @ X0 > X0))).
% 0.56/0.42 thf(func_def_133, type, sK71: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > $o) > X0 > X1))).
% 0.56/0.42 thf(func_def_134, type, sK72: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > $o) > X0))).
% 0.56/0.42 thf(func_def_135, type, sK73: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_136, type, sK74: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_137, type, sK75: ((set @ n > dtree > t > $o) > set @ n)).
% 0.56/0.42 thf(func_def_138, type, sK76: ((set @ n > dtree > t > $o) > t)).
% 0.56/0.42 thf(func_def_139, type, sK77: ((set @ n > dtree > t > $o) > t)).
% 0.56/0.42 thf(func_def_140, type, sK78: ((set @ n > dtree > t > $o) > set @ n)).
% 0.56/0.42 thf(func_def_141, type, sK79: ((set @ n > dtree > t > $o) > dtree)).
% 0.56/0.42 thf(func_def_142, type, sK80: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 0.56/0.42 thf(func_def_143, type, sK81: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 0.56/0.42 thf(func_def_144, type, sK82: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.56/0.42 thf(func_def_145, type, sK83: !>[X0: $tType, X1: $tType]:((set @ X1 > sum_sum @ X0 @ X1 > X1))).
% 0.56/0.42 thf(func_def_146, type, sK84: !>[X0: $tType, X1: $tType]:((set @ X0 > sum_sum @ X0 @ X1 > X0))).
% 0.56/0.42 thf(func_def_147, type, sK85: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.42 thf(func_def_148, type, sK86: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 0.56/0.42 thf(func_def_149, type, sK87: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 0.56/0.42 thf(func_def_150, type, sK88: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.56/0.42 thf(func_def_151, type, sK89: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.56/0.42 thf(func_def_152, type, sK90: (dtree > t > set @ n > dtree)).
% 0.56/0.42 thf(func_def_153, type, sK91: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.56/0.42 thf(func_def_154, type, sK92: (dtree > set @ n > dtree > dtree)).
% 0.56/0.42 thf(func_def_155, type, sK93: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1 > X1))).
% 0.56/0.42 thf(func_def_156, type, vNOT: ($o > $o)).
% 0.56/0.42 thf(f7,axiom,(
% 0.56/0.42 ! [X0 : dtree,X3 : dtree,X2 : dtree,X1 : set @ n] : ((member @ n @ (root @ X0) @ X1) => ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ X2)) => ((gram_L716654942_subtr @ X1 @ X2 @ X3) => (gram_L716654942_subtr @ X1 @ X0 @ X3))))),
% 0.56/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_subtr__StepL)).
% 0.56/0.42 thf(f267,axiom,(
% 0.56/0.42 (member @ n @ (root @ tr1) @ ns)),
% 0.56/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.56/0.42 thf(f268,axiom,(
% 0.56/0.42 (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))),
% 0.56/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.56/0.42 thf(f270,axiom,(
% 0.56/0.42 (gram_L716654942_subtr @ ns @ tr2 @ tr3)),
% 0.56/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 0.56/0.42 thf(f271,conjecture,(
% 0.56/0.42 (gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.56/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)).
% 0.56/0.42 thf(f272,negated_conjecture,(
% 0.56/0.42 ~(gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.56/0.42 inference(negated_conjecture,[status(cth)],[f271])).
% 0.56/0.42 thf(f327,plain,(
% 0.56/0.42 ! [X0 : dtree,X1 : dtree,X2 : dtree,X3 : set @ n] : ((member @ n @ (root @ X0) @ X3) => ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ X2)) => ((gram_L716654942_subtr @ X3 @ X2 @ X1) => (gram_L716654942_subtr @ X3 @ X0 @ X1))))),
% 0.56/0.42 inference(rectify,[],[f7])).
% 0.56/0.42 thf(f328,plain,(
% 0.56/0.42 ! [X0 : dtree,X1 : dtree,X3 : set @ n,X2 : dtree] : (($true = ((member @ n @ (root @ X0) @ X3))) => ((((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ X2))) = $true) => (($true = ((gram_L716654942_subtr @ X3 @ X2 @ X1))) => ($true = ((gram_L716654942_subtr @ X3 @ X0 @ X1))))))),
% 0.56/0.42 inference(fool_elimination,[],[f327])).
% 0.56/0.42 thf(f399,plain,(
% 0.56/0.42 (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))),
% 0.56/0.42 inference(rectify,[],[f268])).
% 0.56/0.42 thf(f400,plain,(
% 0.56/0.42 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))) = $true)),
% 0.56/0.42 inference(fool_elimination,[],[f399])).
% 0.56/0.42 thf(f419,plain,(
% 0.56/0.42 (member @ n @ (root @ tr1) @ ns)),
% 0.56/0.42 inference(rectify,[],[f267])).
% 0.56/0.42 thf(f420,plain,(
% 0.56/0.42 (((member @ n @ (root @ tr1) @ ns)) = $true)),
% 0.56/0.42 inference(fool_elimination,[],[f419])).
% 0.56/0.42 thf(f467,plain,(
% 0.56/0.42 (gram_L716654942_subtr @ ns @ tr2 @ tr3)),
% 0.56/0.42 inference(rectify,[],[f270])).
% 0.56/0.42 thf(f468,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) = $true)),
% 0.56/0.42 inference(fool_elimination,[],[f467])).
% 0.56/0.42 thf(f491,plain,(
% 0.56/0.42 ~(gram_L716654942_subtr @ ns @ tr1 @ tr3)),
% 0.56/0.42 inference(rectify,[],[f272])).
% 0.56/0.42 thf(f492,plain,(
% 0.56/0.42 ~ (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) = $true)),
% 0.56/0.42 inference(fool_elimination,[],[f491])).
% 0.56/0.42 thf(f718,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true)),
% 0.56/0.42 inference(flattening,[],[f492])).
% 0.56/0.42 thf(f906,plain,(
% 0.56/0.42 ! [X0 : dtree,X1 : dtree,X3 : set @ n,X2 : dtree] : (((($true = ((gram_L716654942_subtr @ X3 @ X0 @ X1))) | ($true != ((gram_L716654942_subtr @ X3 @ X2 @ X1)))) | (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ X2))) != $true)) | ($true != ((member @ n @ (root @ X0) @ X3))))),
% 0.56/0.42 inference(ennf_transformation,[],[f328])).
% 0.56/0.42 thf(f907,plain,(
% 0.56/0.42 ! [X1 : dtree,X0 : dtree,X2 : dtree,X3 : set @ n] : (($true != ((member @ n @ (root @ X0) @ X3))) | (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ X2))) != $true) | ($true != ((gram_L716654942_subtr @ X3 @ X2 @ X1))) | ($true = ((gram_L716654942_subtr @ X3 @ X0 @ X1))))),
% 0.56/0.42 inference(flattening,[],[f906])).
% 0.56/0.42 thf(f1189,plain,(
% 0.56/0.42 ! [X0 : dtree,X1 : dtree,X2 : dtree,X3 : set @ n] : ((((member @ n @ (root @ X1) @ X3)) != $true) | ($true != ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X1) @ (cont @ X2)))) | ($true != ((gram_L716654942_subtr @ X3 @ X2 @ X0))) | ($true = ((gram_L716654942_subtr @ X3 @ X1 @ X0))))),
% 0.56/0.42 inference(rectify,[],[f907])).
% 0.56/0.42 thf(f1425,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) = $true)),
% 0.56/0.42 inference(cnf_transformation,[],[f468])).
% 0.56/0.42 thf(f1426,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true)),
% 0.56/0.42 inference(cnf_transformation,[],[f718])).
% 0.56/0.42 thf(f1616,plain,(
% 0.56/0.42 ( ! [X2 : dtree,X3 : set @ n,X0 : dtree,X1 : dtree] : (($true != ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X1) @ (cont @ X2)))) | (((member @ n @ (root @ X1) @ X3)) != $true) | ($true = ((gram_L716654942_subtr @ X3 @ X1 @ X0))) | ($true != ((gram_L716654942_subtr @ X3 @ X2 @ X0)))) )),
% 0.56/0.42 inference(cnf_transformation,[],[f1189])).
% 0.56/0.42 thf(f1628,plain,(
% 0.56/0.42 (((member @ n @ (root @ tr1) @ ns)) = $true)),
% 0.56/0.42 inference(cnf_transformation,[],[f420])).
% 0.56/0.42 thf(f1637,plain,(
% 0.56/0.42 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))) = $true)),
% 0.56/0.42 inference(cnf_transformation,[],[f400])).
% 0.56/0.42 thf(f1867,definition,(
% 0.56/0.42 spl94_4 <=> (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) = $true)),
% 0.56/0.42 introduced(definition,[new_symbols(definition,[spl94_4])],[avatar_definition])).
% 0.56/0.42 thf(f1869,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) = $true) | ~spl94_4),
% 0.56/0.42 inference(avatar_component_clause,[],[f1867])).
% 0.56/0.42 thf(f1870,plain,(
% 0.56/0.42 spl94_4),
% 0.56/0.42 inference(avatar_split_clause,[],[f1425,f1867])).
% 0.56/0.42 thf(f1877,definition,(
% 0.56/0.42 spl94_6 <=> (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) = $true)),
% 0.56/0.42 introduced(definition,[new_symbols(definition,[spl94_6])],[avatar_definition])).
% 0.56/0.42 thf(f1879,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr1 @ tr3)) != $true) | spl94_6),
% 0.56/0.42 inference(avatar_component_clause,[],[f1877])).
% 0.56/0.42 thf(f1880,plain,(
% 0.56/0.42 ~spl94_6),
% 0.56/0.42 inference(avatar_split_clause,[],[f1426,f1877])).
% 0.56/0.42 thf(f1892,definition,(
% 0.56/0.42 spl94_9 <=> (((member @ n @ (root @ tr1) @ ns)) = $true)),
% 0.56/0.42 introduced(definition,[new_symbols(definition,[spl94_9])],[avatar_definition])).
% 0.56/0.42 thf(f1894,plain,(
% 0.56/0.42 (((member @ n @ (root @ tr1) @ ns)) = $true) | ~spl94_9),
% 0.56/0.42 inference(avatar_component_clause,[],[f1892])).
% 0.56/0.42 thf(f1895,plain,(
% 0.56/0.42 spl94_9),
% 0.56/0.42 inference(avatar_split_clause,[],[f1628,f1892])).
% 0.56/0.42 thf(f1912,definition,(
% 0.56/0.42 spl94_13 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))) = $true)),
% 0.56/0.42 introduced(definition,[new_symbols(definition,[spl94_13])],[avatar_definition])).
% 0.56/0.42 thf(f1914,plain,(
% 0.56/0.42 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ tr1) @ (cont @ tr2))) = $true) | ~spl94_13),
% 0.56/0.42 inference(avatar_component_clause,[],[f1912])).
% 0.56/0.42 thf(f1915,plain,(
% 0.56/0.42 spl94_13),
% 0.56/0.42 inference(avatar_split_clause,[],[f1637,f1912])).
% 0.56/0.42 thf(f1993,plain,(
% 0.56/0.42 ( ! [X0 : set @ n,X1 : dtree] : (($true != ((member @ n @ (root @ tr1) @ X0))) | ($true != $true) | ($true = ((gram_L716654942_subtr @ X0 @ tr1 @ X1))) | ($true != ((gram_L716654942_subtr @ X0 @ tr2 @ X1)))) ) | ~spl94_13),
% 0.56/0.42 inference(superposition,[],[f1616,f1914])).
% 0.56/0.42 thf(f1996,plain,(
% 0.56/0.42 ( ! [X0 : set @ n,X1 : dtree] : (($true = ((gram_L716654942_subtr @ X0 @ tr1 @ X1))) | ($true != ((member @ n @ (root @ tr1) @ X0))) | ($true != ((gram_L716654942_subtr @ X0 @ tr2 @ X1)))) ) | ~spl94_13),
% 0.56/0.42 inference(trivial_inequality_removal,[],[f1993])).
% 0.56/0.42 thf(f2059,plain,(
% 0.56/0.42 ($true != $true) | (((member @ n @ (root @ tr1) @ ns)) != $true) | (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) != $true) | (spl94_6 | ~spl94_13)),
% 0.56/0.42 inference(superposition,[],[f1879,f1996])).
% 0.56/0.42 thf(f2066,plain,(
% 0.56/0.42 (((member @ n @ (root @ tr1) @ ns)) != $true) | (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) != $true) | (spl94_6 | ~spl94_13)),
% 0.56/0.42 inference(trivial_inequality_removal,[],[f2059])).
% 0.56/0.42 thf(f2072,plain,(
% 0.56/0.42 (((gram_L716654942_subtr @ ns @ tr2 @ tr3)) != $true) | (spl94_6 | ~spl94_9 | ~spl94_13)),
% 0.56/0.42 inference(forward_subsumption_resolution,[],[f2066,f1894])).
% 0.56/0.42 thf(f2075,plain,(
% 0.56/0.42 $false | (~spl94_4 | spl94_6 | ~spl94_9 | ~spl94_13)),
% 0.56/0.42 inference(forward_subsumption_resolution,[],[f2072,f1869])).
% 0.56/0.42 thf(f2076,plain,(
% 0.56/0.42 ~spl94_4 | spl94_6 | ~spl94_9 | ~spl94_13),
% 0.56/0.42 inference(avatar_contradiction_clause,[],[f2075])).
% 0.56/0.42 cnf(s4, plain, spl94_4, inference(sat_conversion,[],[f1870])).
% 0.56/0.42 cnf(s6, plain, ~spl94_6, inference(sat_conversion,[],[f1880])).
% 0.56/0.42 cnf(s9, plain, spl94_9, inference(sat_conversion,[],[f1895])).
% 0.56/0.42 cnf(s13, plain, spl94_13, inference(sat_conversion,[],[f1915])).
% 0.56/0.42 cnf(s17, plain, ~spl94_4 | spl94_6 | ~spl94_9 | ~spl94_13, inference(sat_conversion,[],[f2076])).
% 0.56/0.42 cnf(s18, plain, ~spl94_4, inference(rat,[],[s17,s13,s9,s6])).
% 0.56/0.42 cnf(s19, plain, $false, inference(rat,[],[s4,s18])).
% 0.56/0.42 thf(f2078,plain,(
% 0.56/0.42 $false),
% 0.56/0.42 inference(avatar_sat_refutation,[],[s19])).
% 0.56/0.42 % SZS output end Proof for theBenchmark
% 0.56/0.42 % (941981)------------------------------
% 0.56/0.42 % (941981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (941981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (941981)CaDiCaL version: 2.1.3
% 0.56/0.42 % (941981)Termination reason: Refutation
% 0.56/0.42 % (941981)Time elapsed: 0.085 s
% 0.56/0.42 % (941981)Peak memory usage: 15 MB
% 0.56/0.42 % (941981)Instructions burned: 172 (million)
% 0.56/0.42 % (941973)Success in time 0.145 s
% 0.56/0.42 % Vampire exiting
%------------------------------------------------------------------------------