%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL958^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:14:56 AM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL958^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 10:54:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.30 % (1944942)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.30 % (1944957)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2798474555:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.30 % (1944959)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.30 % (1944959)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
% 0.21/0.30 % (1944952)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3815313322:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.30 % (1944953)lrs+10_16_si=on:nwc=1.5:random_seed=415754805:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.30 % (1944955)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=359937952:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.30 % (1944956)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=256196092: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)
% 0.21/0.30 % (1944958)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3569774808:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.30 % (1944959)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=1010030568:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.30 % (1944957)Instruction limit reached!
% 0.21/0.30 % (1944957)------------------------------
% 0.21/0.30 % (1944957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (1944957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (1944957)CaDiCaL version: 2.1.3
% 0.21/0.30 % (1944957)Termination reason: Instruction limit
% 0.21/0.30 % (1944957)Termination phase: Saturation
% 0.21/0.30 % (1944957)Time elapsed: 0.008 s
% 0.21/0.30 % (1944957)Peak memory usage: 12 MB
% 0.21/0.30 % (1944957)Instructions burned: 25 (million)
% 0.21/0.30 % (1944955)Instruction limit reached!
% 0.21/0.30 % (1944955)------------------------------
% 0.21/0.30 % (1944955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (1944955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (1944955)CaDiCaL version: 2.1.3
% 0.21/0.30 % (1944955)Termination reason: Instruction limit
% 0.21/0.30 % (1944955)Termination phase: Saturation
% 0.21/0.30 % (1944955)Time elapsed: 0.002 s
% 0.21/0.30 % (1944955)Peak memory usage: 11 MB
% 0.21/0.30 % (1944955)Instructions burned: 3 (million)
% 0.21/0.30 % (1944953) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1944942-1944953"...
% 0.21/0.30 % (1944958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1944942-1944958"...
% 0.21/0.30 % (1944959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1944942-1944959"...
% 0.21/0.30 % (1944952) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1944942-1944952"...
% 0.21/0.30 % (1944953)...printing done.
% 0.21/0.30 % (1944953)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% 0.21/0.30 thf(type_def_5, type, mworld: $tType).
% 0.21/0.30 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.30 thf(func_def_0, type, mrel: (mworld > mworld > $o)).
% 0.21/0.30 thf(func_def_1, type, mactual: mworld).
% 0.21/0.30 thf(func_def_2, type, mlocal: ((mworld > $o) > $o)).
% 0.21/0.30 thf(func_def_4, type, mnot: ((mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_5, type, mand: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_6, type, mor: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_7, type, mimplies: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_8, type, mequiv: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_9, type, mbox: ((mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_10, type, mdia: ((mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_11, type, eiw_di: ($i > mworld > $o)).
% 0.21/0.30 thf(func_def_12, type, mforall_di: (($i > mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_13, type, mexists_di: (($i > mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_14, type, big_q: ($i > mworld > $o)).
% 0.21/0.30 thf(func_def_15, type, big_p: ($i > mworld > $o)).
% 0.21/0.30 thf(func_def_16, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.21/0.30 thf(func_def_17, type, vIMP: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_18, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_19, type, db1: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_20, type, db2: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_21, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.30 thf(func_def_24, type, vIFF: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_25, type, vAND: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_26, type, vOR: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_27, type, vNOT: ($o > $o)).
% 0.21/0.30 thf(func_def_28, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.21/0.30 thf(func_def_29, type, sK0: (mworld > $i)).
% 0.21/0.30 thf(func_def_30, type, db3: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_31, type, db4: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_32, type, db5: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_33, type, sK1: ($i > mworld)).
% 0.21/0.30 thf(func_def_34, type, sK2: ($i > $i)).
% 0.21/0.30 thf(func_def_35, type, sK3: ($i > mworld)).
% 0.21/0.30 thf(func_def_36, type, sK4: ($i > mworld)).
% 0.21/0.30 thf(func_def_37, type, sK5: ($i > mworld)).
% 0.21/0.30 thf(f1,axiom,(
% 0.21/0.30 ((^[X0 : (mworld > $o)] : ((X0 @ mactual))) = mlocal)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.30 thf(f4,axiom,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def)).
% 0.21/0.30 thf(f5,axiom,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.21/0.30 thf(f7,axiom,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.21/0.30 thf(f9,axiom,(
% 0.21/0.30 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 0.21/0.30 thf(f10,axiom,(
% 0.21/0.30 ! [X0 : mworld] : ? [X1 : $i] : (eiw_di @ X1 @ X0)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty)).
% 0.21/0.30 thf(f11,axiom,(
% 0.21/0.30 ! [X1 : mworld,X2 : $i,X0 : mworld] : (((mrel @ X0 @ X1) & (eiw_di @ X2 @ X0)) => (eiw_di @ X2 @ X1))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_cumul)).
% 0.21/0.30 thf(f12,axiom,(
% 0.21/0.30 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.21/0.30 thf(f13,axiom,(
% 0.21/0.30 (mexists_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.21/0.30 thf(f14,conjecture,(
% 0.21/0.30 (mlocal @ (mexists_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mimplies @ (mbox @ (big_p @ X0)) @ (mor @ (mbox @ (big_q @ X0)) @ (mbox @ (big_p @ X1)))))))))))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2137)).
% 0.21/0.30 thf(f15,negated_conjecture,(
% 0.21/0.30 ~(mlocal @ (mexists_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mimplies @ (mbox @ (big_p @ X0)) @ (mor @ (mbox @ (big_q @ X0)) @ (mbox @ (big_p @ X1)))))))))))))),
% 0.21/0.30 inference(negated_conjecture,[status(cth)],[f14])).
% 0.21/0.30 thf(f16,plain,(
% 0.21/0.30 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.21/0.30 inference(rectify,[],[f12])).
% 0.21/0.30 thf(f17,plain,(
% 0.21/0.30 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f16])).
% 0.21/0.30 thf(f18,plain,(
% 0.21/0.30 ! [X0 : mworld] : ? [X1 : $i] : (eiw_di @ X1 @ X0)),
% 0.21/0.30 inference(rectify,[],[f10])).
% 0.21/0.30 thf(f19,plain,(
% 0.21/0.30 ! [X0 : mworld] : ? [X1 : $i] : (((eiw_di @ X1 @ X0)) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f18])).
% 0.21/0.30 thf(f22,plain,(
% 0.21/0.30 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.21/0.30 inference(rectify,[],[f9])).
% 0.21/0.30 thf(f23,plain,(
% 0.21/0.30 ! [X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X1)) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f22])).
% 0.21/0.30 thf(f24,plain,(
% 0.21/0.30 ~(mlocal @ (mexists_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mimplies @ (mbox @ (big_p @ X0)) @ (mor @ (mbox @ (big_q @ X0)) @ (mbox @ (big_p @ X1)))))))))))))),
% 0.21/0.30 inference(rectify,[],[f15])).
% 0.21/0.30 thf(f25,plain,(
% 0.21/0.30 ~ (((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mbox @ (big_p @ Y0)) @ (mor @ (mbox @ (big_q @ Y0)) @ (mbox @ (big_p @ Y1)))))))))))) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f24])).
% 0.21/0.30 thf(f28,plain,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.21/0.30 inference(rectify,[],[f4])).
% 0.21/0.30 thf(f29,plain,(
% 0.21/0.30 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f28])).
% 0.21/0.30 thf(f30,plain,(
% 0.21/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.30 inference(fool_elimination,[],[f1])).
% 0.21/0.30 thf(f33,plain,(
% 0.21/0.30 (mexists_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.21/0.30 inference(rectify,[],[f13])).
% 0.21/0.30 thf(f34,plain,(
% 0.21/0.30 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f33])).
% 0.21/0.30 thf(f37,plain,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.21/0.30 inference(rectify,[],[f7])).
% 0.21/0.30 thf(f38,plain,(
% 0.21/0.30 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f37])).
% 0.21/0.30 thf(f39,plain,(
% 0.21/0.30 ! [X0 : mworld,X1 : $i,X2 : mworld] : (((mrel @ X2 @ X0) & (eiw_di @ X1 @ X2)) => (eiw_di @ X1 @ X0))),
% 0.21/0.30 inference(rectify,[],[f11])).
% 0.21/0.30 thf(f40,plain,(
% 0.21/0.30 ! [X1 : $i,X0 : mworld,X2 : mworld] : (((((mrel @ X2 @ X0)) = $true) & (((eiw_di @ X1 @ X2)) = $true)) => (((eiw_di @ X1 @ X0)) = $true))),
% 0.21/0.30 inference(fool_elimination,[],[f39])).
% 0.21/0.30 thf(f41,plain,(
% 0.21/0.30 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.21/0.30 inference(rectify,[],[f5])).
% 0.21/0.30 thf(f42,plain,(
% 0.21/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f41])).
% 0.21/0.30 thf(f43,plain,(
% 0.21/0.30 (((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mbox @ (big_p @ Y0)) @ (mor @ (mbox @ (big_q @ Y0)) @ (mbox @ (big_p @ Y1)))))))))))) != $true)),
% 0.21/0.30 inference(flattening,[],[f25])).
% 0.21/0.30 thf(f44,plain,(
% 0.21/0.30 ! [X1 : $i,X0 : mworld,X2 : mworld] : ((((eiw_di @ X1 @ X0)) = $true) | ((((mrel @ X2 @ X0)) != $true) | (((eiw_di @ X1 @ X2)) != $true)))),
% 0.21/0.30 inference(ennf_transformation,[],[f40])).
% 0.21/0.30 thf(f45,plain,(
% 0.21/0.30 ! [X1 : $i,X2 : mworld,X0 : mworld] : ((((eiw_di @ X1 @ X2)) != $true) | (((mrel @ X2 @ X0)) != $true) | (((eiw_di @ X1 @ X0)) = $true))),
% 0.21/0.30 inference(flattening,[],[f44])).
% 0.21/0.30 thf(f46,plain,(
% 0.21/0.30 ! [X0 : $i,X1 : mworld,X2 : mworld] : ((((eiw_di @ X0 @ X1)) != $true) | (((mrel @ X1 @ X2)) != $true) | (((eiw_di @ X0 @ X2)) = $true))),
% 0.21/0.30 inference(rectify,[],[f45])).
% 0.21/0.30 thf(f47,plain,(
% 0.21/0.30 ! [X0 : mworld] : (((eiw_di @ (sK0 @ X0) @ X0)) = $true)),
% 0.21/0.30 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f19])).
% 0.21/0.30 thf(f49,plain,(
% 0.21/0.30 (((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mbox @ (big_p @ Y0)) @ (mor @ (mbox @ (big_q @ Y0)) @ (mbox @ (big_p @ Y1)))))))))))) != $true)),
% 0.21/0.30 inference(cnf_transformation,[],[f43])).
% 0.21/0.30 thf(f50,plain,(
% 0.21/0.30 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f29])).
% 0.21/0.30 thf(f51,plain,(
% 0.21/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f42])).
% 0.21/0.30 thf(f52,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X0 : $i,X1 : mworld] : ((((mrel @ X1 @ X2)) != $true) | (((eiw_di @ X0 @ X1)) != $true) | (((eiw_di @ X0 @ X2)) = $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f46])).
% 0.21/0.30 thf(f53,plain,(
% 0.21/0.30 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f17])).
% 0.21/0.30 thf(f55,plain,(
% 0.21/0.30 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f34])).
% 0.21/0.30 thf(f56,plain,(
% 0.21/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.30 inference(cnf_transformation,[],[f30])).
% 0.21/0.30 thf(f57,plain,(
% 0.21/0.30 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f38])).
% 0.21/0.30 thf(f58,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : ((((eiw_di @ (sK0 @ X0) @ X0)) = $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f47])).
% 0.21/0.30 thf(f61,plain,(
% 0.21/0.30 ( ! [X0 : mworld,X1 : mworld] : ((((mrel @ X0 @ X1)) = $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f23])).
% 0.21/0.30 thf(f64,plain,(
% 0.21/0.30 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (big_p @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (big_q @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (big_p @ Y1)))))))))))) != $true)),
% 0.21/0.30 inference(definition_unfolding,[],[f49,f56,f55,f57,f53,f57,f51,f57,f50,f57,f57])).
% 0.21/0.30 thf(f65,plain,(
% 0.21/0.30 ($true != ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_p @ Y0 @ Y4)))) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_p @ Y2 @ Y4)))) | (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_q @ Y0 @ Y4))))))))))))))))))))),
% 0.21/0.30 inference(beta-eta_normalization,[],[f64])).
% 0.21/0.30 thf(f66,plain,(
% 0.21/0.30 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_p @ Y0 @ Y4)))) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_p @ Y2 @ Y4)))) | (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (big_q @ Y0 @ Y4))))))))))))))))) @ X1)))) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f65])).
% 0.21/0.30 thf(f67,plain,(
% 0.21/0.30 ( ! [X1 : $i] : (($false = (((eiw_di @ X1 @ mactual) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ X1 @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ Y1 @ Y3)))) | (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_q @ X1 @ Y3))))))))))))))))))) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f66])).
% 0.21/0.30 thf(f68,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ X1 @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ Y1 @ Y3)))) | (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_q @ X1 @ Y3)))))))))))))))) = $false) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(and_proxy_clausification,[],[f67])).
% 0.21/0.30 thf(f69,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ X1 @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_p @ Y1 @ Y3)))) | (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (big_q @ X1 @ Y3)))))))))))))) @ (sK1 @ X1))))) )),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f68])).
% 0.21/0.30 thf(f70,plain,(
% 0.21/0.30 ( ! [X1 : $i] : (($false = (((mrel @ mactual @ (sK1 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK1 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK1 @ X1) @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ X1 @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ Y0 @ Y2)))) | (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_q @ X1 @ Y2))))))))))))))) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f69])).
% 0.21/0.30 thf(f71,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK1 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK1 @ X1) @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ X1 @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ Y0 @ Y2)))) | (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_q @ X1 @ Y2))))))))))))))) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f70])).
% 0.21/0.30 thf(f73,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ((((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK1 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK1 @ X1) @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ X1 @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_p @ Y0 @ Y2)))) | (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (big_q @ X1 @ Y2))))))))))) @ (sK2 @ X1))) = $false)) )),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f71])).
% 0.21/0.30 thf(f74,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = (((eiw_di @ (sK2 @ X1) @ (sK1 @ X1)) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK1 @ X1) @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ X1 @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ (sK2 @ X1) @ Y1)))) | (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_q @ X1 @ Y1))))))))))))) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f73])).
% 0.21/0.30 thf(f75,plain,(
% 0.21/0.30 ( ! [X1 : $i] : (($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK1 @ X1) @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ X1 @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ (sK2 @ X1) @ Y1)))) | (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_q @ X1 @ Y1))))))))))) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f74])).
% 0.21/0.30 thf(f76,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ (sK2 @ X1) @ (sK1 @ X1))) = $true) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f74])).
% 0.21/0.30 thf(f77,plain,(
% 0.21/0.30 ( ! [X1 : $i] : (((((^[Y0 : mworld]: ((mrel @ (sK1 @ X1) @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ X1 @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_p @ (sK2 @ X1) @ Y1)))) | (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (big_q @ X1 @ Y1)))))))) @ (sK3 @ X1))) = $false) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f75])).
% 0.21/0.30 thf(f78,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = (((mrel @ (sK1 @ X1) @ (sK3 @ X1)) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ X1 @ Y0)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ (sK2 @ X1) @ Y0)))) | (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_q @ X1 @ Y0)))))))))) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f77])).
% 0.21/0.30 thf(f79,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ X1 @ Y0)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ (sK2 @ X1) @ Y0)))) | (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_q @ X1 @ Y0))))))) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f78])).
% 0.21/0.30 thf(f81,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ (sK2 @ X1) @ Y0)))) | (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_q @ X1 @ Y0)))))) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f79])).
% 0.21/0.30 thf(f82,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ X1 @ Y0))))) = $true)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f79])).
% 0.21/0.30 thf(f83,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : $i] : (((((^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ X1 @ Y0))) @ X2)) = $true) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f82])).
% 0.21/0.30 thf(f84,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : $i] : (((((mrel @ (sK3 @ X1) @ X2) => (big_p @ X1 @ X2))) = $true) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f83])).
% 0.21/0.30 thf(f85,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : $i] : ((((big_p @ X1 @ X2)) = $true) | (((eiw_di @ X1 @ mactual)) = $false) | ($false = ((mrel @ (sK3 @ X1) @ X2)))) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f84])).
% 0.21/0.30 thf(f87,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ (sK2 @ X1) @ Y0))))) = $false) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(or_proxy_clausification,[],[f81])).
% 0.21/0.30 thf(f88,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = (((^[Y0 : mworld]: ((mrel @ (sK3 @ X1) @ Y0) => (big_p @ (sK2 @ X1) @ Y0))) @ (sK4 @ X1))))) )),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f87])).
% 0.21/0.30 thf(f89,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual)) = $false) | ($false = (((mrel @ (sK3 @ X1) @ (sK4 @ X1)) => (big_p @ (sK2 @ X1) @ (sK4 @ X1)))))) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f88])).
% 0.21/0.30 thf(f90,plain,(
% 0.21/0.30 ( ! [X1 : $i] : ((((big_p @ (sK2 @ X1) @ (sK4 @ X1))) = $false) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f89])).
% 0.21/0.30 thf(f96,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : $i] : (($false = $true) | (((big_p @ X1 @ X2)) = $true) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(forward_demodulation,[],[f85,f61])).
% 0.21/0.30 thf(f97,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : $i] : ((((big_p @ X1 @ X2)) = $true) | (((eiw_di @ X1 @ mactual)) = $false)) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f96])).
% 0.21/0.30 thf(f98,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X0 : $i,X1 : mworld] : ((((eiw_di @ X0 @ X1)) != $true) | (((eiw_di @ X0 @ X2)) = $true)) )),
% 0.21/0.30 inference(forward_subsumption_resolution,[],[f52,f61])).
% 0.21/0.30 thf(f100,plain,(
% 0.21/0.30 ( ! [X0 : $i] : (($false = ((eiw_di @ (sK2 @ X0) @ mactual))) | ($false = $true) | ($false = ((eiw_di @ X0 @ mactual)))) )),
% 0.21/0.30 inference(constrained_superposition,[],[f97,f90])).
% 0.21/0.30 thf(f101,plain,(
% 0.21/0.30 ( ! [X0 : $i] : (($false = ((eiw_di @ (sK2 @ X0) @ mactual))) | ($false = ((eiw_di @ X0 @ mactual)))) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f100])).
% 0.21/0.30 thf(f103,plain,(
% 0.21/0.30 ( ! [X0 : mworld,X1 : mworld] : (($true != $true) | (((eiw_di @ (sK0 @ X0) @ X1)) = $true)) )),
% 0.21/0.30 inference(constrained_superposition,[],[f98,f58])).
% 0.21/0.30 thf(f104,plain,(
% 0.21/0.30 ( ! [X0 : $i,X1 : mworld] : (($true != $true) | ($false = ((eiw_di @ X0 @ mactual))) | (((eiw_di @ (sK2 @ X0) @ X1)) = $true)) )),
% 0.21/0.30 inference(constrained_superposition,[],[f98,f76])).
% 0.21/0.30 thf(f106,plain,(
% 0.21/0.30 ( ! [X0 : mworld,X1 : mworld] : ((((eiw_di @ (sK0 @ X0) @ X1)) = $true)) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f103])).
% 0.21/0.30 thf(f107,plain,(
% 0.21/0.30 ( ! [X0 : $i,X1 : mworld] : ((((eiw_di @ (sK2 @ X0) @ X1)) = $true) | ($false = ((eiw_di @ X0 @ mactual)))) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f104])).
% 0.21/0.30 thf(f112,plain,(
% 0.21/0.30 ( ! [X0 : $i] : (($false = ((eiw_di @ X0 @ mactual))) | ($false = $true) | ($false = ((eiw_di @ X0 @ mactual)))) )),
% 0.21/0.30 inference(constrained_superposition,[],[f101,f107])).
% 0.21/0.30 thf(f113,plain,(
% 0.21/0.30 ( ! [X0 : $i] : (($false = ((eiw_di @ X0 @ mactual))) | ($false = $true)) )),
% 0.21/0.30 inference(duplicate_literal_removal,[],[f112])).
% 0.21/0.30 thf(f114,plain,(
% 0.21/0.30 ( ! [X0 : $i] : (($false = ((eiw_di @ X0 @ mactual)))) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f113])).
% 0.21/0.30 thf(f119,plain,(
% 0.21/0.30 ($false = $true)),
% 0.21/0.30 inference(constrained_superposition,[],[f114,f106])).
% 0.21/0.30 thf(f125,plain,(
% 0.21/0.30 $false),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f119])).
% 0.21/0.30 % SZS output end Proof for theBenchmark
% 0.21/0.30 % (1944953)------------------------------
% 0.21/0.30 % (1944953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (1944953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (1944953)CaDiCaL version: 2.1.3
% 0.21/0.30 % (1944953)Termination reason: Refutation
% 0.21/0.30 % (1944953)Time elapsed: 0.009 s
% 0.21/0.30 % (1944953)Peak memory usage: 12 MB
% 0.21/0.30 % (1944953)Instructions burned: 15 (million)
% 0.21/0.30 % (1944942)Success in time 0.05 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------