%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP034^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:08:03 AM UTC 2026
% Result : Theorem 0.70s 0.41s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP034^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:45:52 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.41 % (1724071)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.70/0.41 % (1724077)lrs+10_16_si=on:nwc=1.5:random_seed=3515852921:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.70/0.41 % (1724082)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.70/0.41 % (1724082)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
% 0.70/0.41 % (1724077)Instruction limit reached!
% 0.70/0.41 % (1724077)------------------------------
% 0.70/0.41 % (1724077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724077)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724077)Termination reason: Instruction limit
% 0.70/0.41 % (1724077)Termination phase: Property scanning
% 0.70/0.41 % (1724077)Time elapsed: 0.006 s
% 0.70/0.41 % (1724077)Peak memory usage: 10 MB
% 0.70/0.41 % (1724077)Instructions burned: 19 (million)
% 0.70/0.41 % (1724076)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2679388400:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.70/0.41 % (1724078)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3502354328:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.70/0.41 % (1724079)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=3820720585: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)
% 0.70/0.41 % (1724080)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=972317922:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.70/0.41 % (1724081)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1576200314:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.70/0.41 % (1724082)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=2931083028:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.70/0.41 % (1724078)Instruction limit reached!
% 0.70/0.41 % (1724078)------------------------------
% 0.70/0.41 % (1724078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724078)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724078)Termination reason: Instruction limit
% 0.70/0.41 % (1724078)Termination phase: shuffling
% 0.70/0.41 % (1724078)Time elapsed: 0.002 s
% 0.70/0.41 % (1724078)Peak memory usage: 10 MB
% 0.70/0.41 % (1724078)Instructions burned: 3 (million)
% 0.70/0.41 % (1724086)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2051110084:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.41 % (1724086)Instruction limit reached!
% 0.70/0.41 % (1724086)------------------------------
% 0.70/0.41 % (1724086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724086)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724086)Termination reason: Instruction limit
% 0.70/0.41 % (1724086)Termination phase: shuffling
% 0.70/0.41 % (1724086)Time elapsed: 0.001 s
% 0.70/0.41 % (1724086)Peak memory usage: 10 MB
% 0.70/0.41 % (1724086)Instructions burned: 3 (million)
% 0.70/0.41 % (1724080)Instruction limit reached!
% 0.70/0.41 % (1724080)------------------------------
% 0.70/0.41 % (1724080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724080)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724080)Termination reason: Instruction limit
% 0.70/0.41 % (1724080)Termination phase: Preprocessing 2
% 0.70/0.41 % (1724080)Time elapsed: 0.015 s
% 0.70/0.41 % (1724080)Peak memory usage: 10 MB
% 0.70/0.41 % (1724080)Instructions burned: 31 (million)
% 0.70/0.41 % (1724100)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.41 % (1724100)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3679192240:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.70/0.41 % (1724094)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1953480521:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.70/0.41 % (1724100)Instruction limit reached!
% 0.70/0.41 % (1724100)------------------------------
% 0.70/0.41 % (1724100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724100)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724100)Termination reason: Instruction limit
% 0.70/0.41 % (1724100)Termination phase: shuffling
% 0.70/0.41 % (1724100)Time elapsed: 0.002 s
% 0.70/0.41 % (1724100)Peak memory usage: 10 MB
% 0.70/0.41 % (1724100)Instructions burned: 9 (million)
% 0.70/0.41 % (1724094)Instruction limit reached!
% 0.70/0.41 % (1724094)------------------------------
% 0.70/0.41 % (1724094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724094)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724094)Termination reason: Instruction limit
% 0.70/0.41 % (1724094)Termination phase: shuffling
% 0.70/0.41 % (1724094)Time elapsed: 0.004 s
% 0.70/0.41 % (1724094)Peak memory usage: 10 MB
% 0.70/0.41 % (1724094)Instructions burned: 6 (million)
% 0.70/0.41 % (1724109)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
% 0.70/0.41 % (1724109)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.41 % (1724103)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2698095183:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.70/0.41 % (1724109)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1272909202:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.70/0.41 % (1724081)Instruction limit reached!
% 0.70/0.41 % (1724081)------------------------------
% 0.70/0.41 % (1724081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724081)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724081)Termination reason: Instruction limit
% 0.70/0.41 % (1724081)Termination phase: Function definition elimination
% 0.70/0.41 % (1724081)Time elapsed: 0.036 s
% 0.70/0.41 % (1724081)Peak memory usage: 12 MB
% 0.70/0.41 % (1724081)Instructions burned: 76 (million)
% 0.70/0.41 % (1724076)Instruction limit reached!
% 0.70/0.41 % (1724076)------------------------------
% 0.70/0.41 % (1724076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724076)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724076)Termination reason: Instruction limit
% 0.70/0.41 % (1724076)Termination phase: Property scanning
% 0.70/0.41 % (1724076)Time elapsed: 0.041 s
% 0.70/0.41 % (1724076)Peak memory usage: 12 MB
% 0.70/0.41 % (1724076)Instructions burned: 87 (million)
% 0.70/0.41 % (1724103)Instruction limit reached!
% 0.70/0.41 % (1724103)------------------------------
% 0.70/0.41 % (1724103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724103)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724103)Termination reason: Instruction limit
% 0.70/0.41 % (1724103)Termination phase: shuffling
% 0.70/0.41 % (1724103)Time elapsed: 0.006 s
% 0.70/0.41 % (1724103)Peak memory usage: 10 MB
% 0.70/0.41 % (1724103)Instructions burned: 12 (million)
% 0.70/0.41 % (1724109)Instruction limit reached!
% 0.70/0.41 % (1724109)------------------------------
% 0.70/0.41 % (1724109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724109)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724109)Termination reason: Instruction limit
% 0.70/0.41 % (1724109)Termination phase: Property scanning
% 0.70/0.41 % (1724109)Time elapsed: 0.010 s
% 0.70/0.41 % (1724109)Peak memory usage: 11 MB
% 0.70/0.41 % (1724109)Instructions burned: 42 (million)
% 0.70/0.41 % (1724111)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=2140736576:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.70/0.41 % (1724124)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2997641786:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.70/0.41 % (1724122)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.70/0.41 % (1724120)lrs+10_1_si=on:cs=on:random_seed=1941123962:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.70/0.41 % (1724122)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=984613971:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.41 % (1724123)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1093873594:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.70/0.41 % (1724122)Instruction limit reached!
% 0.70/0.41 % (1724122)------------------------------
% 0.70/0.41 % (1724122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724122)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724122)Termination reason: Instruction limit
% 0.70/0.41 % (1724122)Termination phase: shuffling
% 0.70/0.41 % (1724122)Time elapsed: 0.002 s
% 0.70/0.41 % (1724122)Peak memory usage: 10 MB
% 0.70/0.41 % (1724122)Instructions burned: 3 (million)
% 0.70/0.41 % (1724120)Instruction limit reached!
% 0.70/0.41 % (1724120)------------------------------
% 0.70/0.41 % (1724120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724120)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724120)Termination reason: Instruction limit
% 0.70/0.41 % (1724120)Termination phase: shuffling
% 0.70/0.41 % (1724120)Time elapsed: 0.005 s
% 0.70/0.41 % (1724120)Peak memory usage: 10 MB
% 0.70/0.41 % (1724120)Instructions burned: 10 (million)
% 0.70/0.41 % (1724124) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1724071-1724124"...
% 0.70/0.41 % (1724124)...printing done.
% 0.70/0.41 % (1724124)Refutation found. Thanks to Tanya!
% 0.70/0.41 % SZS status Theorem for theBenchmark
% 0.70/0.41 % SZS output start Proof for theBenchmark
% 0.70/0.41 thf(type_def_5, type, binary1291135688e_Tree: $tType > $tType).
% 0.70/0.41 thf(type_def_6, type, set: $tType > $tType).
% 0.70/0.41 thf(type_def_7, type, int: $tType).
% 0.70/0.41 thf(type_def_8, type, a: $tType).
% 0.70/0.41 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.70/0.41 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_8, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_9, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_10, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_11, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_12, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.70/0.41 thf(func_def_13, type, binary210054475elle_T: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_14, type, binary1746293266le_Tip: !>[X0: $tType]:(binary1291135688e_Tree @ X0)).
% 0.70/0.41 thf(func_def_15, type, binary1830089824insert: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_16, type, binary827270440e_memb: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > $o))).
% 0.70/0.41 thf(func_def_17, type, binary997842527remove: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_18, type, binary576689334lle_rm: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > X0))).
% 0.70/0.41 thf(func_def_19, type, binary1653327646_setOf: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > set @ X0))).
% 0.70/0.41 thf(func_def_20, type, binary1610619414edTree: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > $o))).
% 0.70/0.41 thf(func_def_21, type, binary231205461t_pred: !>[X0: $tType]:(((X0 > int) > X0 > X0 > binary1291135688e_Tree @ X0 > $o))).
% 0.70/0.41 thf(func_def_22, type, binary213313527le_wrm: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_23, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.70/0.41 thf(func_def_24, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.70/0.41 thf(func_def_25, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.41 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.41 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.70/0.41 thf(func_def_28, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.70/0.41 thf(func_def_29, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.70/0.41 thf(func_def_30, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.70/0.41 thf(func_def_31, type, h: (a > int)).
% 0.70/0.41 thf(func_def_32, type, l: a).
% 0.70/0.41 thf(func_def_33, type, t1: binary1291135688e_Tree @ a).
% 0.70/0.41 thf(func_def_34, type, t2: binary1291135688e_Tree @ a).
% 0.70/0.41 thf(func_def_35, type, x: a).
% 0.70/0.41 thf(func_def_39, type, vIMP: ($o > $o > $o)).
% 0.70/0.41 thf(func_def_40, type, vAND: ($o > $o > $o)).
% 0.70/0.41 thf(func_def_41, type, db3: !>[X0: $tType]:(X0)).
% 0.70/0.41 thf(func_def_42, type, db0: !>[X0: $tType]:(X0)).
% 0.70/0.41 thf(func_def_43, type, db1: !>[X0: $tType]:(X0)).
% 0.70/0.41 thf(func_def_44, type, db2: !>[X0: $tType]:(X0)).
% 0.70/0.41 thf(func_def_45, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.41 thf(func_def_46, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.70/0.41 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.41 thf(func_def_48, type, vOR: ($o > $o > $o)).
% 0.70/0.41 thf(func_def_49, type, vNOT: ($o > $o)).
% 0.70/0.41 thf(func_def_50, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.41 thf(func_def_51, type, sK0: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_52, type, sK1: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_53, type, sK2: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > X0))).
% 0.70/0.41 thf(func_def_54, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.70/0.41 thf(func_def_55, type, sK4: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_56, type, sK5: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > binary1291135688e_Tree @ X0))).
% 0.70/0.41 thf(func_def_57, type, sK6: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > X0))).
% 0.70/0.41 thf(f1,axiom,(
% 0.70/0.41 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))),
% 0.70/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hLess)).
% 0.70/0.41 thf(f2,axiom,(
% 0.70/0.41 (((binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))) = ((binary576689334lle_rm @ a @ h @ t2)))),
% 0.70/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_rm__res)).
% 0.70/0.41 thf(f289,conjecture,(
% 0.70/0.41 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 0.70/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.70/0.41 thf(f290,negated_conjecture,(
% 0.70/0.41 ~(ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 0.70/0.41 inference(negated_conjecture,[status(cth)],[f289])).
% 0.70/0.41 thf(f778,plain,(
% 0.70/0.41 ~(ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 0.70/0.41 inference(rectify,[],[f290])).
% 0.70/0.41 thf(f779,plain,(
% 0.70/0.41 ~ (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) = $true)),
% 0.70/0.41 inference(fool_elimination,[],[f778])).
% 0.70/0.41 thf(f798,plain,(
% 0.70/0.41 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))),
% 0.70/0.41 inference(rectify,[],[f1])).
% 0.70/0.41 thf(f799,plain,(
% 0.70/0.41 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) = $true)),
% 0.70/0.41 inference(fool_elimination,[],[f798])).
% 0.70/0.41 thf(f804,plain,(
% 0.70/0.41 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) != $true)),
% 0.70/0.41 inference(flattening,[],[f779])).
% 0.70/0.41 thf(f881,plain,(
% 0.70/0.41 (((binary576689334lle_rm @ a @ h @ t2)) = ((binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 0.70/0.41 inference(cnf_transformation,[],[f2])).
% 0.70/0.41 thf(f891,plain,(
% 0.70/0.41 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) = $true)),
% 0.70/0.41 inference(cnf_transformation,[],[f799])).
% 0.70/0.41 thf(f896,plain,(
% 0.70/0.41 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) != $true)),
% 0.70/0.41 inference(cnf_transformation,[],[f804])).
% 0.70/0.41 thf(f908,plain,(
% 0.70/0.41 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) != $true)),
% 0.70/0.41 inference(forward_demodulation,[],[f896,f881])).
% 0.70/0.41 thf(f909,plain,(
% 0.70/0.41 $false),
% 0.70/0.41 inference(forward_subsumption_resolution,[],[f908,f891])).
% 0.70/0.41 % SZS output end Proof for theBenchmark
% 0.70/0.41 % (1724124)------------------------------
% 0.70/0.41 % (1724124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (1724124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (1724124)CaDiCaL version: 2.1.3
% 0.70/0.41 % (1724124)Termination reason: Refutation
% 0.70/0.41 % (1724124)Time elapsed: 0.012 s
% 0.70/0.41 % (1724124)Peak memory usage: 13 MB
% 0.70/0.41 % (1724124)Instructions burned: 43 (million)
% 0.70/0.41 % (1724071)Success in time 0.106 s
% 0.70/0.41 % Vampire exiting
%------------------------------------------------------------------------------