%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT154^1 : 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 : n014.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 07:48:26 AM UTC 2026
% Result : Theorem 0.55s 0.45s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT154^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n014.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 18:02:15 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.20/0.28 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
% 0.55/0.43 % (3007655)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.43 % (3007661)lrs+10_16_si=on:nwc=1.5:random_seed=3973548653:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.43 % (3007666)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.43 % (3007666)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
% 0.55/0.43 % (3007661)Instruction limit reached!
% 0.55/0.43 % (3007661)------------------------------
% 0.55/0.43 % (3007661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.43 % (3007661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.43 % (3007661)CaDiCaL version: 2.1.3
% 0.55/0.43 % (3007661)Termination reason: Instruction limit
% 0.55/0.43 % (3007661)Termination phase: shuffling
% 0.55/0.43 % (3007661)Time elapsed: 0.005 s
% 0.55/0.43 % (3007661)Peak memory usage: 10 MB
% 0.55/0.43 % (3007661)Instructions burned: 20 (million)
% 0.55/0.43 % (3007662)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=868812223:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.43 % (3007663)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=1976810915: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)
% 0.55/0.43 % (3007664)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2063751949:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.43 % (3007665)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3149682928:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.43 % (3007666)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=4237374719:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.43 % (3007662)Instruction limit reached!
% 0.55/0.43 % (3007662)------------------------------
% 0.55/0.43 % (3007662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.43 % (3007662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.43 % (3007662)CaDiCaL version: 2.1.3
% 0.55/0.43 % (3007662)Termination reason: Instruction limit
% 0.55/0.43 % (3007662)Termination phase: shuffling
% 0.55/0.43 % (3007662)Time elapsed: 0.004 s
% 0.55/0.43 % (3007662)Peak memory usage: 10 MB
% 0.55/0.43 % (3007662)Instructions burned: 7 (million)
% 0.55/0.43 % (3007668)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3115952830:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.43 % (3007668)Instruction limit reached!
% 0.55/0.43 % (3007668)------------------------------
% 0.55/0.43 % (3007668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.43 % (3007668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.43 % (3007668)CaDiCaL version: 2.1.3
% 0.55/0.43 % (3007668)Termination reason: Instruction limit
% 0.55/0.43 % (3007668)Termination phase: shuffling
% 0.55/0.43 % (3007668)Time elapsed: 0.001 s
% 0.55/0.43 % (3007668)Peak memory usage: 10 MB
% 0.55/0.43 % (3007668)Instructions burned: 4 (million)
% 0.55/0.43 % (3007664)Instruction limit reached!
% 0.55/0.43 % (3007664)------------------------------
% 0.55/0.43 % (3007664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.43 % (3007664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.43 % (3007664)CaDiCaL version: 2.1.3
% 0.55/0.43 % (3007664)Termination reason: Instruction limit
% 0.55/0.43 % (3007664)Termination phase: Property scanning
% 0.55/0.43 % (3007664)Time elapsed: 0.012 s
% 0.55/0.43 % (3007664)Peak memory usage: 10 MB
% 0.55/0.43 % (3007664)Instructions burned: 25 (million)
% 0.55/0.43 % (3007660)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4111285577:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.43 % (3007676)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.45 % (3007676)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=995650710:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.45 % (3007674)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=487205536:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.45 % (3007676)Instruction limit reached!
% 0.55/0.45 % (3007676)------------------------------
% 0.55/0.45 % (3007676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007676)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007676)Termination reason: Instruction limit
% 0.55/0.45 % (3007676)Termination phase: shuffling
% 0.55/0.45 % (3007676)Time elapsed: 0.002 s
% 0.55/0.45 % (3007676)Peak memory usage: 10 MB
% 0.55/0.45 % (3007676)Instructions burned: 10 (million)
% 0.55/0.45 % (3007674)Instruction limit reached!
% 0.55/0.45 % (3007674)------------------------------
% 0.55/0.45 % (3007674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007674)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007674)Termination reason: Instruction limit
% 0.55/0.45 % (3007674)Termination phase: shuffling
% 0.55/0.45 % (3007674)Time elapsed: 0.004 s
% 0.55/0.45 % (3007674)Peak memory usage: 10 MB
% 0.55/0.45 % (3007674)Instructions burned: 7 (million)
% 0.55/0.45 % (3007677)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1389703844:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.45 % (3007681)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
% 0.55/0.45 % (3007681)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.45 % (3007681)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3494184024:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.45 % (3007665)Instruction limit reached!
% 0.55/0.45 % (3007665)------------------------------
% 0.55/0.45 % (3007665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007665)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007665)Termination reason: Instruction limit
% 0.55/0.45 % (3007665)Termination phase: Property scanning
% 0.55/0.45 % (3007665)Time elapsed: 0.036 s
% 0.55/0.45 % (3007665)Peak memory usage: 12 MB
% 0.55/0.45 % (3007665)Instructions burned: 76 (million)
% 0.55/0.45 % (3007677)Instruction limit reached!
% 0.55/0.45 % (3007677)------------------------------
% 0.55/0.45 % (3007677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007677)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007677)Termination reason: Instruction limit
% 0.55/0.45 % (3007677)Termination phase: shuffling
% 0.55/0.45 % (3007677)Time elapsed: 0.006 s
% 0.55/0.45 % (3007677)Peak memory usage: 10 MB
% 0.55/0.45 % (3007677)Instructions burned: 13 (million)
% 0.55/0.45 % (3007681)Instruction limit reached!
% 0.55/0.45 % (3007681)------------------------------
% 0.55/0.45 % (3007681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007681)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007681)Termination reason: Instruction limit
% 0.55/0.45 % (3007681)Termination phase: shuffling
% 0.55/0.45 % (3007681)Time elapsed: 0.008 s
% 0.55/0.45 % (3007681)Peak memory usage: 10 MB
% 0.55/0.45 % (3007681)Instructions burned: 30 (million)
% 0.55/0.45 % (3007683)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=2118225344:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.55/0.45 % (3007686)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.55/0.45 % (3007687)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1527093425:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.55/0.45 % (3007685)lrs+10_1_si=on:cs=on:random_seed=914093917:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.55/0.45 % (3007686)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=3938838014:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.45 % (3007686)Instruction limit reached!
% 0.55/0.45 % (3007686)------------------------------
% 0.55/0.45 % (3007686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007686)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007686)Termination reason: Instruction limit
% 0.55/0.45 % (3007686)Termination phase: shuffling
% 0.55/0.45 % (3007686)Time elapsed: 0.002 s
% 0.55/0.45 % (3007686)Peak memory usage: 10 MB
% 0.55/0.45 % (3007686)Instructions burned: 3 (million)
% 0.55/0.45 % (3007685)Instruction limit reached!
% 0.55/0.45 % (3007685)------------------------------
% 0.55/0.45 % (3007685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007685)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007685)Termination reason: Instruction limit
% 0.55/0.45 % (3007685)Termination phase: shuffling
% 0.55/0.45 % (3007685)Time elapsed: 0.004 s
% 0.55/0.45 % (3007685)Peak memory usage: 10 MB
% 0.55/0.45 % (3007685)Instructions burned: 8 (million)
% 0.55/0.45 % (3007687)Instruction limit reached!
% 0.55/0.45 % (3007687)------------------------------
% 0.55/0.45 % (3007687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007687)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007687)Termination reason: Instruction limit
% 0.55/0.45 % (3007687)Termination phase: Saturation
% 0.55/0.45 % (3007687)Time elapsed: 0.010 s
% 0.55/0.45 % (3007687)Peak memory usage: 12 MB
% 0.55/0.45 % (3007687)Instructions burned: 41 (million)
% 0.55/0.45 % (3007694)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=505271733:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.55/0.45 % (3007666)Instruction limit reached!
% 0.55/0.45 % (3007666)------------------------------
% 0.55/0.45 % (3007666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007666)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007666)Termination reason: Instruction limit
% 0.55/0.45 % (3007666)Termination phase: Saturation
% 0.55/0.45 % (3007666)Time elapsed: 0.075 s
% 0.55/0.45 % (3007666)Peak memory usage: 14 MB
% 0.55/0.45 % (3007666)Instructions burned: 157 (million)
% 0.55/0.45 % (3007692)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1263519144:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.55/0.45 % (3007693)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=228814292:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.55/0.45 % (3007694)Instruction limit reached!
% 0.55/0.45 % (3007694)------------------------------
% 0.55/0.45 % (3007694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007694)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007694)Termination reason: Instruction limit
% 0.55/0.45 % (3007694)Termination phase: shuffling
% 0.55/0.45 % (3007694)Time elapsed: 0.004 s
% 0.55/0.45 % (3007694)Peak memory usage: 10 MB
% 0.55/0.45 % (3007694)Instructions burned: 18 (million)
% 0.55/0.45 % (3007660)Instruction limit reached!
% 0.55/0.45 % (3007660)------------------------------
% 0.55/0.45 % (3007660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007660)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007660)Termination reason: Instruction limit
% 0.55/0.45 % (3007660)Termination phase: Function definition elimination
% 0.55/0.45 % (3007660)Time elapsed: 0.075 s
% 0.55/0.45 % (3007660)Peak memory usage: 11 MB
% 0.55/0.45 % (3007660)Instructions burned: 87 (million)
% 0.55/0.45 % (3007683)Instruction limit reached!
% 0.55/0.45 % (3007683)------------------------------
% 0.55/0.45 % (3007683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007683)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007683)Termination reason: Instruction limit
% 0.55/0.45 % (3007683)Termination phase: Preprocessing 3
% 0.55/0.45 % (3007683)Time elapsed: 0.038 s
% 0.55/0.45 % (3007683)Peak memory usage: 11 MB
% 0.55/0.45 % (3007683)Instructions burned: 87 (million)
% 0.55/0.45 % (3007699)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4224242942:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.55/0.45 % (3007693)Instruction limit reached!
% 0.55/0.45 % (3007693)------------------------------
% 0.55/0.45 % (3007693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007693)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007693)Termination reason: Instruction limit
% 0.55/0.45 % (3007693)Termination phase: Property scanning
% 0.55/0.45 % (3007693)Time elapsed: 0.012 s
% 0.55/0.45 % (3007693)Peak memory usage: 10 MB
% 0.55/0.45 % (3007693)Instructions burned: 26 (million)
% 0.55/0.45 % (3007663) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3007655-3007663"...
% 0.55/0.45 % (3007696)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4060845143:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.55/0.45 % (3007699)Instruction limit reached!
% 0.55/0.45 % (3007699)------------------------------
% 0.55/0.45 % (3007699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007699)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007699)Termination reason: Instruction limit
% 0.55/0.45 % (3007699)Termination phase: shuffling
% 0.55/0.45 % (3007699)Time elapsed: 0.004 s
% 0.55/0.45 % (3007699)Peak memory usage: 10 MB
% 0.55/0.45 % (3007699)Instructions burned: 18 (million)
% 0.55/0.45 % (3007663)...printing done.
% 0.55/0.45 % (3007663)Refutation found. Thanks to Tanya!
% 0.55/0.45 % SZS status Theorem for theBenchmark
% 0.55/0.45 % SZS output start Proof for theBenchmark
% 0.55/0.45 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 0.55/0.45 thf(type_def_6, type, list: $tType > $tType).
% 0.55/0.45 thf(type_def_7, type, set: $tType > $tType).
% 0.55/0.45 thf(type_def_8, type, itself: $tType > $tType).
% 0.55/0.45 thf(type_def_9, type, a: $tType).
% 0.55/0.45 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.55/0.45 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.55/0.45 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.55/0.45 thf(func_def_2, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.55/0.45 thf(func_def_3, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.55/0.45 thf(func_def_4, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 0.55/0.45 thf(func_def_5, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 0.55/0.45 thf(func_def_6, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 0.55/0.45 thf(func_def_7, type, coindu1384447384of_aux: !>[X0: $tType]:((list @ X0 > coinductive_llist @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_8, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 0.55/0.45 thf(func_def_9, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.55/0.45 thf(func_def_10, type, coinductive_lsorted: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > $o))).
% 0.55/0.45 thf(func_def_11, type, hammin1328233080lmerge: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.55/0.45 thf(func_def_12, type, hammin1138290136lmerge: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.55/0.45 thf(func_def_13, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.55/0.45 thf(func_def_14, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_15, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.55/0.45 thf(func_def_16, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_17, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_18, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_19, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_20, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.55/0.45 thf(func_def_21, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_22, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.55/0.45 thf(func_def_23, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.55/0.45 thf(func_def_24, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.55/0.45 thf(func_def_25, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 0.55/0.45 thf(func_def_26, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 0.55/0.45 thf(func_def_27, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.55/0.45 thf(func_def_28, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.55/0.45 thf(func_def_29, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.55/0.45 thf(func_def_30, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_31, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_32, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.55/0.45 thf(func_def_33, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.55/0.45 thf(func_def_34, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.55/0.45 thf(func_def_35, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.55/0.45 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.55/0.45 thf(func_def_37, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_38, type, set_atLeastAtMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_39, type, set_atLeastLessThan: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_40, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_41, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_42, type, set_gr323396891AtMost: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_43, type, set_gr1161524159ssThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_44, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.55/0.45 thf(func_def_45, type, prefixes: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.55/0.45 thf(func_def_46, type, prefixes_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.55/0.45 thf(func_def_47, type, strict_suffix: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.55/0.45 thf(func_def_48, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 0.55/0.45 thf(func_def_49, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.55/0.45 thf(func_def_50, type, less: (a > a > $o)).
% 0.55/0.45 thf(func_def_51, type, less_eq: (a > a > $o)).
% 0.55/0.45 thf(func_def_52, type, xs: coinductive_llist @ a).
% 0.55/0.45 thf(func_def_53, type, ys: coinductive_llist @ a).
% 0.55/0.45 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.55/0.45 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 0.55/0.45 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_60, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.55/0.45 thf(func_def_61, type, vNOT: ($o > $o)).
% 0.55/0.45 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.55/0.45 thf(func_def_65, type, vOR: ($o > $o > $o)).
% 0.55/0.45 thf(func_def_66, type, db3: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_67, type, db5: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_68, type, db4: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 0.55/0.45 thf(func_def_70, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 0.55/0.45 thf(func_def_71, type, sP1: (list @ a > list @ a > $o)).
% 0.55/0.45 thf(func_def_72, type, sP2: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 0.55/0.45 thf(func_def_73, type, sP3: (list @ a > list @ a > $o)).
% 0.55/0.45 thf(func_def_74, type, sP4: (list @ a > list @ a > $o)).
% 0.55/0.45 thf(func_def_75, type, sP5: (list @ a > list @ a > $o)).
% 0.55/0.45 thf(func_def_76, type, sK6: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_77, type, sK7: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_78, type, sK8: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_79, type, sK9: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_80, type, sK10: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_81, type, sK11: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_82, type, sK12: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_83, type, sK13: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_84, type, sK14: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_85, type, sK15: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_86, type, sK16: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_87, type, sK17: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_88, type, sK18: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_89, type, sK19: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_90, type, sK20: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_91, type, sK21: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_92, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_93, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_94, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_95, type, sK25: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_96, type, sK26: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_97, type, sK27: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_98, type, sK28: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_99, type, sK29: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.55/0.45 thf(func_def_100, type, sK30: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_101, type, sK31: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.55/0.45 thf(func_def_102, type, sK32: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_103, type, sK33: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_104, type, sK34: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.55/0.45 thf(func_def_105, type, sK35: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.55/0.45 thf(func_def_106, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_107, type, sK37: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_108, type, sK38: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_109, type, sK39: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_110, type, sK40: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_111, type, sK41: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_112, type, sK42: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_113, type, sK43: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_114, type, sK44: a).
% 0.55/0.45 thf(func_def_115, type, sK45: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X0 > X1) > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_116, type, sK46: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X0 > X1) > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_117, type, sK47: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_118, type, sK48: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_119, type, sK49: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_120, type, sK50: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_121, type, sK51: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_122, type, sK52: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_123, type, sK53: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_124, type, sK54: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_125, type, sK55: (list @ a > list @ a)).
% 0.55/0.45 thf(func_def_126, type, sK56: (list @ a > a)).
% 0.55/0.45 thf(func_def_127, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.55/0.45 thf(func_def_128, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X1 > list @ X1 > X0))).
% 0.55/0.45 thf(func_def_129, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X1 > list @ X1 > list @ X0))).
% 0.55/0.45 thf(func_def_130, type, sK60: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_131, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_132, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_133, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_134, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_135, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_136, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_137, type, sK67: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_138, type, sK68: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_139, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_140, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_141, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_142, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_143, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_144, type, sK74: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_145, type, sK75: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_146, type, sK76: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_147, type, sK77: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_148, type, sK78: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_149, type, sK79: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_150, type, sK80: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_151, type, sK81: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_152, type, sK82: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_153, type, sK83: (list @ a > list @ a)).
% 0.55/0.45 thf(func_def_154, type, sK84: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_155, type, sK85: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_156, type, sK86: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_157, type, sK87: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_158, type, sK88: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_159, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_160, type, sK90: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > X0))).
% 0.55/0.45 thf(func_def_161, type, sK91: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_162, type, sK92: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X1 > list @ X0 > X0))).
% 0.55/0.45 thf(func_def_163, type, sK93: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X1 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_164, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_165, type, sK95: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_166, type, sK96: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_167, type, sK97: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > list @ X0 > list @ X1 > X1))).
% 0.55/0.45 thf(func_def_168, type, sK98: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > list @ X0 > list @ X1 > list @ X1))).
% 0.55/0.45 thf(func_def_169, type, sK99: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_170, type, sK100: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_171, type, sK101: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_172, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_173, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_174, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_175, type, sK105: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_176, type, sK106: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_177, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_178, type, sK108: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_179, type, sK109: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_180, type, sK110: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_181, type, sK111: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_182, type, sK112: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_183, type, sK113: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > X0))).
% 0.55/0.45 thf(func_def_184, type, sK114: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > (X1 > X0) > list @ X1))).
% 0.55/0.45 thf(func_def_185, type, sK115: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > (X1 > X0) > X1))).
% 0.55/0.45 thf(func_def_186, type, sK116: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_187, type, sK117: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_188, type, sK118: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_189, type, sK119: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_190, type, sK120: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_191, type, sK121: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_192, type, sK122: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_193, type, sK123: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_194, type, sK124: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_195, type, sK125: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_196, type, sK126: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_197, type, sK127: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_198, type, sK128: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_199, type, sK129: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_200, type, sK130: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_201, type, sK131: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_202, type, sK132: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_203, type, sK133: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_204, type, sK134: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_205, type, sK135: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_206, type, sK136: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_207, type, sK137: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > X0))).
% 0.55/0.45 thf(func_def_208, type, sK138: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_209, type, sK139: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_210, type, sK140: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_211, type, sK141: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_212, type, sK142: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_213, type, sK143: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_214, type, sK144: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_215, type, sK145: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_216, type, sK146: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_217, type, sK147: (list @ a > list @ a > a)).
% 0.55/0.45 thf(func_def_218, type, sK148: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_219, type, sK149: (list @ a > list @ a > list @ a)).
% 0.55/0.45 thf(func_def_220, type, sK150: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.55/0.45 thf(func_def_221, type, sK151: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.55/0.45 thf(func_def_222, type, sK152: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_223, type, sK153: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.55/0.45 thf(func_def_224, type, sK154: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.55/0.45 thf(func_def_225, type, sK155: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.55/0.45 thf(func_def_226, type, sK156: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_227, type, sK157: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.55/0.45 thf(func_def_228, type, sK158: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.55/0.45 thf(func_def_229, type, sK159: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.55/0.45 thf(func_def_230, type, sK160: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_231, type, sK161: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_232, type, sK162: a).
% 0.55/0.45 thf(func_def_233, type, sK163: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_234, type, sK164: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_235, type, sK165: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_236, type, sK166: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_237, type, sK167: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_238, type, sK168: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_239, type, sK169: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_240, type, sK170: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_241, type, sK171: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_242, type, sK172: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_243, type, sK173: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_244, type, sK174: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_245, type, sK175: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_246, type, sK176: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_247, type, sK177: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_248, type, sK178: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_249, type, sK179: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_250, type, sK180: ((list @ a > list @ a > $o) > list @ a)).
% 0.55/0.45 thf(func_def_251, type, sK181: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_252, type, sK182: ((list @ a > list @ a > $o) > a)).
% 0.55/0.45 thf(func_def_253, type, sK183: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.55/0.45 thf(func_def_254, type, sK184: !>[X0: $tType]:((list @ X0 > X0))).
% 0.55/0.45 thf(func_def_255, type, sK185: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(func_def_256, type, sK186: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.45 thf(func_def_257, type, sK187: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.55/0.45 thf(f6,axiom,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (~(coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1)) = ~(coinductive_lnull @ a @ X0) & ~(coinductive_lnull @ a @ X1))),
% 0.55/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_lmerge_Osimps_I2_J)).
% 0.55/0.45 thf(f14,axiom,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : (((coinductive_lnull @ a @ X1) | (coinductive_lnull @ a @ X0)) => (((hammin1328233080lmerge @ a @ less @ X0 @ X1)) = coinductive_LNil @ a))),
% 0.55/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_lmerge_Octr_I1_J)).
% 0.55/0.45 thf(f26,axiom,(
% 0.55/0.45 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((coinductive_lnull @ X0 @ X1) => (X1 = coinductive_LNil @ X0))),
% 0.55/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_llist_Ocollapse_I1_J)).
% 0.55/0.45 thf(f28,axiom,(
% 0.55/0.45 ! [X0 : $tType] : (coinductive_lnull @ X0 @ coinductive_LNil @ X0)),
% 0.55/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_llist_Odisc_I1_J)).
% 0.55/0.45 thf(f263,conjecture,(
% 0.55/0.45 ((coinductive_lnull @ a @ ys) | (coinductive_lnull @ a @ xs) = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))))),
% 0.55/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.55/0.45 thf(f264,negated_conjecture,(
% 0.55/0.45 ~ ((coinductive_lnull @ a @ ys) | (coinductive_lnull @ a @ xs) = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))))),
% 0.55/0.45 inference(negated_conjecture,[status(cth)],[f263])).
% 0.55/0.45 thf(f296,plain,(
% 0.55/0.45 ~ ((coinductive_lnull @ a @ ys) | (coinductive_lnull @ a @ xs) = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))))),
% 0.55/0.45 inference(rectify,[],[f264])).
% 0.55/0.45 thf(f297,plain,(
% 0.55/0.45 ~((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true) <=> ((((coinductive_lnull @ a @ xs)) = $true) | (((coinductive_lnull @ a @ ys)) = $true)))),
% 0.55/0.45 inference(fool_elimination,[],[f296])).
% 0.55/0.45 thf(f504,plain,(
% 0.55/0.45 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((coinductive_lnull @ X0 @ X1) => (X1 = coinductive_LNil @ X0))),
% 0.55/0.45 inference(rectify,[],[f26])).
% 0.55/0.45 thf(f505,plain,(
% 0.55/0.45 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lnull @ X0 @ X1)) = $true) => (coinductive_LNil @ X0 = X1))),
% 0.55/0.45 inference(fool_elimination,[],[f504])).
% 0.55/0.45 thf(f515,plain,(
% 0.55/0.45 ! [X0 : $tType] : (coinductive_lnull @ X0 @ coinductive_LNil @ X0)),
% 0.55/0.45 inference(rectify,[],[f28])).
% 0.55/0.45 thf(f516,plain,(
% 0.55/0.45 ! [X0 : $tType] : (((coinductive_lnull @ X0 @ coinductive_LNil @ X0)) = $true)),
% 0.55/0.45 inference(fool_elimination,[],[f515])).
% 0.55/0.45 thf(f528,plain,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (~(coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1)) = ~(coinductive_lnull @ a @ X0) & ~(coinductive_lnull @ a @ X1))),
% 0.55/0.45 inference(rectify,[],[f6])).
% 0.55/0.45 thf(f529,plain,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (~ (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) = $true) <=> (~ (((coinductive_lnull @ a @ X0)) = $true) & ~ (((coinductive_lnull @ a @ X1)) = $true)))),
% 0.55/0.45 inference(fool_elimination,[],[f528])).
% 0.55/0.45 thf(f565,plain,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (((coinductive_lnull @ a @ X0) | (coinductive_lnull @ a @ X1)) => (coinductive_LNil @ a = ((hammin1328233080lmerge @ a @ less @ X1 @ X0))))),
% 0.55/0.45 inference(rectify,[],[f14])).
% 0.55/0.45 thf(f566,plain,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : (((((coinductive_lnull @ a @ X1)) = $true) | (((coinductive_lnull @ a @ X0)) = $true)) => (coinductive_LNil @ a = ((hammin1328233080lmerge @ a @ less @ X1 @ X0))))),
% 0.55/0.45 inference(fool_elimination,[],[f565])).
% 0.55/0.45 thf(f674,plain,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : ((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) != $true) <=> ((((coinductive_lnull @ a @ X1)) != $true) & (((coinductive_lnull @ a @ X0)) != $true)))),
% 0.55/0.45 inference(flattening,[],[f529])).
% 0.55/0.45 thf(f732,plain,(
% 0.55/0.45 ((((coinductive_lnull @ a @ xs)) = $true) | (((coinductive_lnull @ a @ ys)) = $true)) <~> (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true)),
% 0.55/0.45 inference(ennf_transformation,[],[f297])).
% 0.55/0.45 thf(f739,plain,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : (((((coinductive_lnull @ a @ X0)) != $true) & (((coinductive_lnull @ a @ X1)) != $true)) | (coinductive_LNil @ a = ((hammin1328233080lmerge @ a @ less @ X1 @ X0))))),
% 0.55/0.45 inference(ennf_transformation,[],[f566])).
% 0.55/0.45 thf(f782,plain,(
% 0.55/0.45 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lnull @ X0 @ X1)) != $true) | (coinductive_LNil @ X0 = X1))),
% 0.55/0.45 inference(ennf_transformation,[],[f505])).
% 0.55/0.45 thf(f875,plain,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : (((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) != $true) | ((((coinductive_lnull @ a @ X1)) = $true) | (((coinductive_lnull @ a @ X0)) = $true))) & (((((coinductive_lnull @ a @ X1)) != $true) & (((coinductive_lnull @ a @ X0)) != $true)) | (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) = $true)))),
% 0.55/0.45 inference(nnf_transformation,[],[f674])).
% 0.55/0.45 thf(f876,plain,(
% 0.55/0.45 ! [X1 : coinductive_llist @ a,X0 : coinductive_llist @ a] : (((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) != $true) | (((coinductive_lnull @ a @ X1)) = $true) | (((coinductive_lnull @ a @ X0)) = $true)) & (((((coinductive_lnull @ a @ X1)) != $true) & (((coinductive_lnull @ a @ X0)) != $true)) | (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X0 @ X1))) = $true)))),
% 0.55/0.45 inference(flattening,[],[f875])).
% 0.55/0.45 thf(f877,plain,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((($true != ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X1 @ X0)))) | (((coinductive_lnull @ a @ X0)) = $true) | (((coinductive_lnull @ a @ X1)) = $true)) & (((((coinductive_lnull @ a @ X0)) != $true) & (((coinductive_lnull @ a @ X1)) != $true)) | ($true = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X1 @ X0))))))),
% 0.55/0.45 inference(rectify,[],[f876])).
% 0.55/0.45 thf(f905,plain,(
% 0.55/0.45 ((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) != $true) | ((((coinductive_lnull @ a @ xs)) != $true) & (((coinductive_lnull @ a @ ys)) != $true))) & ((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true) | ((((coinductive_lnull @ a @ xs)) = $true) | (((coinductive_lnull @ a @ ys)) = $true)))),
% 0.55/0.45 inference(nnf_transformation,[],[f732])).
% 0.55/0.45 thf(f906,plain,(
% 0.55/0.45 ((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) != $true) | ((((coinductive_lnull @ a @ xs)) != $true) & (((coinductive_lnull @ a @ ys)) != $true))) & ((((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true) | (((coinductive_lnull @ a @ xs)) = $true) | (((coinductive_lnull @ a @ ys)) = $true))),
% 0.55/0.45 inference(flattening,[],[f905])).
% 0.55/0.45 thf(f919,plain,(
% 0.55/0.45 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (((((coinductive_lnull @ a @ X1)) != $true) & (((coinductive_lnull @ a @ X0)) != $true)) | (((hammin1328233080lmerge @ a @ less @ X0 @ X1)) = coinductive_LNil @ a))),
% 0.55/0.45 inference(rectify,[],[f739])).
% 0.55/0.45 thf(f1171,plain,(
% 0.55/0.45 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (($true = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X1 @ X0)))) | (((coinductive_lnull @ a @ X1)) != $true)) )),
% 0.55/0.45 inference(cnf_transformation,[],[f877])).
% 0.55/0.45 thf(f1173,plain,(
% 0.55/0.45 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (($true != ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ X1 @ X0)))) | (((coinductive_lnull @ a @ X1)) = $true) | (((coinductive_lnull @ a @ X0)) = $true)) )),
% 0.55/0.45 inference(cnf_transformation,[],[f877])).
% 0.55/0.45 thf(f1183,plain,(
% 0.55/0.45 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lnull @ X0 @ X1)) != $true) | (coinductive_LNil @ X0 = X1)) )),
% 0.55/0.45 inference(cnf_transformation,[],[f782])).
% 0.55/0.45 thf(f1229,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ ys)) = $true) | (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true) | (((coinductive_lnull @ a @ xs)) = $true)),
% 0.55/0.45 inference(cnf_transformation,[],[f906])).
% 0.55/0.45 thf(f1230,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ ys)) != $true) | (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) != $true)),
% 0.55/0.45 inference(cnf_transformation,[],[f906])).
% 0.55/0.45 thf(f1231,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) != $true) | (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) != $true)),
% 0.55/0.45 inference(cnf_transformation,[],[f906])).
% 0.55/0.45 thf(f1254,plain,(
% 0.55/0.45 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((hammin1328233080lmerge @ a @ less @ X0 @ X1)) = coinductive_LNil @ a) | (((coinductive_lnull @ a @ X1)) != $true)) )),
% 0.55/0.45 inference(cnf_transformation,[],[f919])).
% 0.55/0.45 thf(f1677,plain,(
% 0.55/0.45 ( ! [X0 : $tType] : ((((coinductive_lnull @ X0 @ coinductive_LNil @ X0)) = $true)) )),
% 0.55/0.45 inference(cnf_transformation,[],[f516])).
% 0.55/0.45 thf(f1849,definition,(
% 0.55/0.45 spl188_8 <=> (((coinductive_lnull @ a @ ys)) = $true)),
% 0.55/0.45 introduced(definition,[new_symbols(definition,[spl188_8])],[avatar_definition])).
% 0.55/0.45 thf(f1850,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ ys)) = $true) | ~spl188_8),
% 0.55/0.45 inference(avatar_component_clause,[],[f1849])).
% 0.55/0.45 thf(f1851,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ ys)) != $true) | spl188_8),
% 0.55/0.45 inference(avatar_component_clause,[],[f1849])).
% 0.55/0.45 thf(f1853,definition,(
% 0.55/0.45 spl188_9 <=> (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true)),
% 0.55/0.45 introduced(definition,[new_symbols(definition,[spl188_9])],[avatar_definition])).
% 0.55/0.45 thf(f1854,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) = $true) | ~spl188_9),
% 0.55/0.45 inference(avatar_component_clause,[],[f1853])).
% 0.55/0.45 thf(f1855,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ ys))) != $true) | spl188_9),
% 0.55/0.45 inference(avatar_component_clause,[],[f1853])).
% 0.55/0.45 thf(f1856,plain,(
% 0.55/0.45 ~spl188_8 | ~spl188_9),
% 0.55/0.45 inference(avatar_split_clause,[],[f1230,f1853,f1849])).
% 0.55/0.45 thf(f1858,definition,(
% 0.55/0.45 spl188_10 <=> (((coinductive_lnull @ a @ xs)) = $true)),
% 0.55/0.45 introduced(definition,[new_symbols(definition,[spl188_10])],[avatar_definition])).
% 0.55/0.45 thf(f1860,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) != $true) | spl188_10),
% 0.55/0.45 inference(avatar_component_clause,[],[f1858])).
% 0.55/0.45 thf(f1861,plain,(
% 0.55/0.45 ~spl188_10 | ~spl188_9),
% 0.55/0.45 inference(avatar_split_clause,[],[f1231,f1853,f1858])).
% 0.55/0.45 thf(f1862,plain,(
% 0.55/0.45 spl188_8 | spl188_10 | spl188_9),
% 0.55/0.45 inference(avatar_split_clause,[],[f1229,f1853,f1858,f1849])).
% 0.55/0.45 thf(f1879,plain,(
% 0.55/0.45 ($true != $true) | (coinductive_LNil @ a = ys) | ~spl188_8),
% 0.55/0.45 inference(superposition,[],[f1183,f1850])).
% 0.55/0.45 thf(f1880,plain,(
% 0.55/0.45 (coinductive_LNil @ a = ys) | ~spl188_8),
% 0.55/0.45 inference(trivial_inequality_removal,[],[f1879])).
% 0.55/0.45 thf(f1882,definition,(
% 0.55/0.45 spl188_14 <=> (coinductive_LNil @ a = ys)),
% 0.55/0.45 introduced(definition,[new_symbols(definition,[spl188_14])],[avatar_definition])).
% 0.55/0.45 thf(f1884,plain,(
% 0.55/0.45 (coinductive_LNil @ a = ys) | ~spl188_14),
% 0.55/0.45 inference(avatar_component_clause,[],[f1882])).
% 0.55/0.45 thf(f1885,plain,(
% 0.55/0.45 spl188_14 | ~spl188_8),
% 0.55/0.45 inference(avatar_split_clause,[],[f1880,f1849,f1882])).
% 0.55/0.45 thf(f1908,plain,(
% 0.55/0.45 ($true != ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ coinductive_LNil @ a)))) | (spl188_9 | ~spl188_14)),
% 0.55/0.45 inference(forward_demodulation,[],[f1855,f1884])).
% 0.55/0.45 thf(f1910,definition,(
% 0.55/0.45 spl188_17 <=> ($true = ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ coinductive_LNil @ a))))),
% 0.55/0.45 introduced(definition,[new_symbols(definition,[spl188_17])],[avatar_definition])).
% 0.55/0.45 thf(f1912,plain,(
% 0.55/0.45 ($true != ((coinductive_lnull @ a @ (hammin1328233080lmerge @ a @ less @ xs @ coinductive_LNil @ a)))) | spl188_17),
% 0.55/0.45 inference(avatar_component_clause,[],[f1910])).
% 0.55/0.45 thf(f1913,plain,(
% 0.55/0.45 ~spl188_17 | spl188_9 | ~spl188_14),
% 0.55/0.45 inference(avatar_split_clause,[],[f1908,f1882,f1853,f1910])).
% 0.55/0.45 thf(f1971,plain,(
% 0.55/0.45 ($true != ((coinductive_lnull @ a @ coinductive_LNil @ a))) | ($true != ((coinductive_lnull @ a @ coinductive_LNil @ a))) | spl188_17),
% 0.55/0.45 inference(superposition,[],[f1912,f1254])).
% 0.55/0.45 thf(f1979,plain,(
% 0.55/0.45 ($true != ((coinductive_lnull @ a @ coinductive_LNil @ a))) | spl188_17),
% 0.55/0.45 inference(duplicate_literal_removal,[],[f1971])).
% 0.55/0.45 thf(f1981,plain,(
% 0.55/0.45 $false | spl188_17),
% 0.55/0.45 inference(forward_subsumption_resolution,[],[f1979,f1677])).
% 0.55/0.45 thf(f1982,plain,(
% 0.55/0.45 spl188_17),
% 0.55/0.45 inference(avatar_contradiction_clause,[],[f1981])).
% 0.55/0.45 thf(f2146,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) = $true) | ($true != $true) | (((coinductive_lnull @ a @ ys)) = $true) | ~spl188_9),
% 0.55/0.45 inference(superposition,[],[f1173,f1854])).
% 0.55/0.45 thf(f2155,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ ys)) = $true) | (((coinductive_lnull @ a @ xs)) = $true) | ~spl188_9),
% 0.55/0.45 inference(trivial_inequality_removal,[],[f2146])).
% 0.55/0.45 thf(f2159,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) = $true) | (spl188_8 | ~spl188_9)),
% 0.55/0.45 inference(forward_subsumption_resolution,[],[f2155,f1851])).
% 0.55/0.45 thf(f2161,plain,(
% 0.55/0.45 $false | (spl188_8 | ~spl188_9 | spl188_10)),
% 0.55/0.45 inference(forward_subsumption_resolution,[],[f2159,f1860])).
% 0.55/0.45 thf(f2162,plain,(
% 0.55/0.45 spl188_8 | ~spl188_9 | spl188_10),
% 0.55/0.45 inference(avatar_contradiction_clause,[],[f2161])).
% 0.55/0.45 thf(f2172,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) != $true) | ($true != $true) | spl188_9),
% 0.55/0.45 inference(superposition,[],[f1855,f1171])).
% 0.55/0.45 thf(f2177,plain,(
% 0.55/0.45 (((coinductive_lnull @ a @ xs)) != $true) | spl188_9),
% 0.55/0.45 inference(trivial_inequality_removal,[],[f2172])).
% 0.55/0.45 thf(f2182,plain,(
% 0.55/0.45 ~spl188_10 | spl188_9),
% 0.55/0.45 inference(avatar_split_clause,[],[f2177,f1853,f1858])).
% 0.55/0.45 cnf(s6, plain, ~spl188_8 | ~spl188_9, inference(sat_conversion,[],[f1856])).
% 0.55/0.45 cnf(s7, plain, ~spl188_9 | ~spl188_10, inference(sat_conversion,[],[f1861])).
% 0.55/0.45 cnf(s8, plain, spl188_8 | spl188_9 | spl188_10, inference(sat_conversion,[],[f1862])).
% 0.55/0.45 cnf(s13, plain, ~spl188_8 | spl188_14, inference(sat_conversion,[],[f1885])).
% 0.55/0.45 cnf(s17, plain, spl188_9 | ~spl188_14 | ~spl188_17, inference(sat_conversion,[],[f1913])).
% 0.55/0.45 cnf(s20, plain, spl188_17, inference(sat_conversion,[],[f1982])).
% 0.55/0.45 cnf(s28, plain, spl188_8 | ~spl188_9 | spl188_10, inference(sat_conversion,[],[f2162])).
% 0.55/0.45 cnf(s31, plain, spl188_9 | ~spl188_10, inference(sat_conversion,[],[f2182])).
% 0.55/0.45 cnf(s37, plain, spl188_9 | ~spl188_14, inference(rat,[],[s17,s20])).
% 0.55/0.45 cnf(s38, plain, spl188_9 | spl188_8, inference(rat,[],[s8,s31])).
% 0.55/0.45 cnf(s39, plain, spl188_8, inference(rat,[],[s28,s7,s38])).
% 0.55/0.45 cnf(s40, plain, spl188_14, inference(rat,[],[s13,s39])).
% 0.55/0.45 cnf(s41, plain, ~spl188_9, inference(rat,[],[s6,s39])).
% 0.55/0.45 cnf(s42, plain, $false, inference(rat,[],[s37,s40,s41])).
% 0.55/0.45 thf(f2186,plain,(
% 0.55/0.45 $false),
% 0.55/0.45 inference(avatar_sat_refutation,[],[s42])).
% 0.55/0.45 % SZS output end Proof for theBenchmark
% 0.55/0.45 % (3007663)------------------------------
% 0.55/0.45 % (3007663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (3007663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (3007663)CaDiCaL version: 2.1.3
% 0.55/0.45 % (3007663)Termination reason: Refutation
% 0.55/0.45 % (3007663)Time elapsed: 0.098 s
% 0.55/0.45 % (3007663)Peak memory usage: 14 MB
% 0.55/0.45 % (3007663)Instructions burned: 196 (million)
% 0.55/0.45 % (3007655)Success in time 0.157 s
% 0.55/0.45 % Vampire exiting
%------------------------------------------------------------------------------