0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.18/0.45	% Computer : n010.cluster.edu
0.18/0.45	% Model    : x86_64 x86_64
0.18/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.45	% Memory   : 8046.5625MB
0.18/0.45	% OS       : Linux 6.8.0-71-generic
0.18/0.45	% CPULimit : 1440
0.18/0.45	% WCLimit  : 180
0.18/0.45	% DateTime : Mon Jul 27 09:35:19 UTC 2026
0.18/0.45	% CPUTime  : 
0.18/0.46	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.51	Running higher-order theorem proving
0.24/0.53	Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.38/0.63	% (951395)Detected a higher-order problem, will run a greedy HOL sequence.
0.38/0.63	% (951404)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1634608905:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.38/0.63	% (951406)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.38/0.63	% (951406)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
0.38/0.63	% (951404)Instruction limit reached! 
0.38/0.63	% (951404)------------------------------
0.38/0.63	% (951404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.38/0.63	% (951404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.38/0.63	% (951404)CaDiCaL version: 2.1.3
0.38/0.63	% (951404)Termination reason: Instruction limit
0.38/0.63	% (951404)Termination phase: Saturation
0.38/0.63	% (951404)Time elapsed: 0.012 s
0.38/0.63	% (951404)Peak memory usage: 11 MB
0.38/0.63	% (951404)Instructions burned: 25 (million)
0.38/0.63	% (951405)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3157039713:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.38/0.63	% (951401)lrs+10_16_si=on:nwc=1.5:random_seed=2775101136:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.38/0.63	% (951400)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2589159571:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.38/0.63	% (951406)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=1602597679:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.38/0.63	% (951402)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1198130677:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.38/0.63	% (951403)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=3801867093: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_1799 on theBenchmark for (1799ds/634Mi)
0.38/0.63	% (951402)Instruction limit reached! 
0.38/0.63	% (951402)------------------------------
0.38/0.63	% (951402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.38/0.63	% (951402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.38/0.63	% (951402)CaDiCaL version: 2.1.3
0.38/0.63	% (951402)Termination reason: Instruction limit
0.38/0.63	% (951402)Termination phase: Saturation
0.38/0.63	% (951402)Time elapsed: 0.006 s
0.38/0.63	% (951402)Peak memory usage: 11 MB
0.38/0.63	% (951402)Instructions burned: 7 (million)
0.38/0.63	% (951401)Instruction limit reached! 
0.38/0.63	% (951401)------------------------------
0.38/0.63	% (951401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.38/0.63	% (951401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.38/0.63	% (951401)CaDiCaL version: 2.1.3
0.38/0.63	% (951401)Termination reason: Instruction limit
0.38/0.63	% (951401)Termination phase: Saturation
0.38/0.63	% (951401)Time elapsed: 0.016 s
0.38/0.63	% (951401)Peak memory usage: 12 MB
0.38/0.63	% (951401)Instructions burned: 18 (million)
0.38/0.63	% (951406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-951395-951406"...
0.38/0.63	% (951415)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=183106570:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi)
0.38/0.63	% (951415)Instruction limit reached! 
0.38/0.63	% (951415)------------------------------
0.38/0.63	% (951415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.38/0.63	% (951415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.38/0.63	% (951415)CaDiCaL version: 2.1.3
0.38/0.63	% (951415)Termination reason: Instruction limit
0.38/0.63	% (951415)Termination phase: Property scanning
0.38/0.63	% (951415)Time elapsed: 0.002 s
0.38/0.63	% (951415)Peak memory usage: 10 MB
0.38/0.63	% (951415)Instructions burned: 5 (million)
0.38/0.63	% (951406)...printing done.
0.38/0.63	% (951406)Refutation found. Thanks to Tanya!
0.38/0.63	% SZS status Theorem for theBenchmark
0.38/0.63	% SZS output start Proof for theBenchmark
0.38/0.63	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.38/0.63	thf(type_def_6, type, individuals: $tType).
0.38/0.63	thf(func_def_1, type, prop_a: ($i > $o)).
0.38/0.63	thf(func_def_2, type, prop_b: ($i > $o)).
0.38/0.63	thf(func_def_3, type, prop_c: ($i > $o)).
0.38/0.63	thf(func_def_4, type, mfalse: ($i > $o)).
0.38/0.63	thf(func_def_5, type, mtrue: ($i > $o)).
0.38/0.63	thf(func_def_6, type, mnot: (($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_8, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_9, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_10, type, mimpl: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_11, type, miff: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_12, type, mbox: (($i > $i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_13, type, mdia: (($i > $i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_14, type, mall: ((individuals > $i > $o) > $i > $o)).
0.38/0.63	thf(func_def_15, type, mexists: ((individuals > $i > $o) > $i > $o)).
0.38/0.63	thf(func_def_16, type, mvalid: (($i > $o) > $o)).
0.38/0.63	thf(func_def_17, type, msatisfiable: (($i > $o) > $o)).
0.38/0.63	thf(func_def_18, type, mcountersatisfiable: (($i > $o) > $o)).
0.38/0.63	thf(func_def_19, type, minvalid: (($i > $o) > $o)).
0.38/0.63	thf(func_def_20, type, rel: ($i > $i > $o)).
0.38/0.63	thf(func_def_21, type, icl_atom: (($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_22, type, icl_princ: (($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_23, type, icl_and: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_24, type, icl_or: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_25, type, icl_impl: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_26, type, icl_true: ($i > $o)).
0.38/0.63	thf(func_def_27, type, icl_false: ($i > $o)).
0.38/0.63	thf(func_def_28, type, icl_says: (($i > $o) > ($i > $o) > $i > $o)).
0.38/0.63	thf(func_def_29, type, iclval: (($i > $o) > $o)).
0.38/0.63	thf(func_def_30, type, admin: ($i > $o)).
0.38/0.63	thf(func_def_31, type, bob: ($i > $o)).
0.38/0.63	thf(func_def_32, type, deletefile1: ($i > $o)).
0.38/0.63	thf(func_def_33, type, vNOT: ($o > $o)).
0.38/0.63	thf(func_def_34, type, db1: !>[X0: $tType]:(X0)).
0.38/0.63	thf(func_def_35, type, db0: !>[X0: $tType]:(X0)).
0.38/0.63	thf(func_def_36, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
0.38/0.63	thf(func_def_37, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
0.38/0.63	thf(func_def_38, type, db2: !>[X0: $tType]:(X0)).
0.38/0.63	thf(func_def_39, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
0.38/0.63	thf(func_def_40, type, vOR: ($o > $o > $o)).
0.38/0.63	thf(func_def_43, type, vAND: ($o > $o > $o)).
0.38/0.63	thf(func_def_44, type, db3: !>[X0: $tType]:(X0)).
0.38/0.63	thf(func_def_45, type, vIMP: ($o > $o > $o)).
0.38/0.63	thf(func_def_46, type, sF0: $o).
0.38/0.63	thf(func_def_47, type, sK1: ($i > ($i > $o) > $i)).
0.38/0.63	thf(func_def_50, type, sK4: ($i > ($i > $o) > $i)).
0.38/0.63	thf(f1,axiom,(
0.38/0.63	  (mfalse = (^[X0 : $i] : ($false)))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mfalse)).
0.38/0.63	thf(f3,axiom,(
0.38/0.63	  (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot)).
0.38/0.63	thf(f4,axiom,(
0.38/0.63	  (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor)).
0.38/0.63	thf(f6,axiom,(
0.38/0.63	  (mimpl = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0) @ X1))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl)).
0.38/0.63	thf(f8,axiom,(
0.38/0.63	  (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox)).
0.38/0.63	thf(f12,axiom,(
0.38/0.63	  (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid)).
0.38/0.63	thf(f16,axiom,(
0.38/0.63	  ((^[X0 : ($i > $o)] : ((mbox @ rel @ X0))) = icl_atom)),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_atom)).
0.38/0.63	thf(f17,axiom,(
0.38/0.63	  (icl_princ = (^[X0 : ($i > $o)] : (X0)))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_princ)).
0.38/0.63	thf(f20,axiom,(
0.38/0.63	  ((^[X0 : ($i > $o), X1 : ($i > $o)] : ((mbox @ rel @ (mimpl @ X0 @ X1)))) = icl_impl)),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_impl)).
0.38/0.63	thf(f22,axiom,(
0.38/0.63	  (icl_false = mfalse)),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_false)).
0.38/0.63	thf(f23,axiom,(
0.38/0.63	  ((^[X0 : ($i > $o), X1 : ($i > $o)] : ((mbox @ rel @ (mor @ X0 @ X1)))) = icl_says)),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_says)).
0.38/0.63	thf(f24,axiom,(
0.38/0.63	  (iclval = (^[X0 : ($i > $o)] : ((mvalid @ X0))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_s4_valid)).
0.38/0.63	thf(f25,axiom,(
0.38/0.63	  ! [X0 : ($i > $o)] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',refl_axiom)).
0.38/0.63	thf(f27,conjecture,(
0.38/0.63	  (iclval @ (icl_atom @ deletefile1))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ex3)).
0.38/0.63	thf(f28,negated_conjecture,(
0.38/0.63	  ~(iclval @ (icl_atom @ deletefile1))),
0.38/0.63	  inference(negated_conjecture,[status(cth)],[f27])).
0.38/0.63	thf(f29,axiom,(
0.38/0.63	  (iclval @ (icl_says @ (icl_impl @ (icl_princ @ admin) @ icl_false) @ (icl_atom @ deletefile1)))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
0.38/0.63	thf(f30,axiom,(
0.38/0.63	  (iclval @ (icl_says @ (icl_princ @ bob) @ (icl_atom @ deletefile1)))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
0.38/0.63	thf(f31,axiom,(
0.38/0.63	  (iclval @ (icl_says @ (icl_princ @ admin) @ (icl_says @ (icl_impl @ (icl_princ @ bob) @ (icl_princ @ admin)) @ (icl_atom @ deletefile1))))),
0.38/0.63	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
0.38/0.63	thf(f32,plain,(
0.38/0.63	  (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
0.38/0.63	  inference(rectify,[],[f3])).
0.38/0.63	thf(f33,plain,(
0.38/0.63	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.38/0.63	  inference(fool_elimination,[],[f32])).
0.38/0.63	thf(f41,plain,(
0.38/0.63	  (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.38/0.63	  inference(rectify,[],[f4])).
0.38/0.63	thf(f42,plain,(
0.38/0.63	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.38/0.63	  inference(fool_elimination,[],[f41])).
0.38/0.63	thf(f49,plain,(
0.38/0.63	  (mfalse = (^[Y0 : $i]: ($false)))),
0.38/0.63	  inference(fool_elimination,[],[f1])).
0.38/0.63	thf(f52,plain,(
0.38/0.63	  (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
0.38/0.63	  inference(fool_elimination,[],[f16])).
0.38/0.63	thf(f53,plain,(
0.38/0.63	  (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
0.38/0.63	  inference(rectify,[],[f8])).
0.38/0.63	thf(f54,plain,(
0.38/0.63	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
0.38/0.63	  inference(fool_elimination,[],[f53])).
0.38/0.63	thf(f55,plain,(
0.38/0.63	  (iclval @ (icl_says @ (icl_princ @ admin) @ (icl_says @ (icl_impl @ (icl_princ @ bob) @ (icl_princ @ admin)) @ (icl_atom @ deletefile1))))),
0.38/0.63	  inference(rectify,[],[f31])).
0.38/0.63	thf(f56,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_princ @ admin) @ (icl_says @ (icl_impl @ (icl_princ @ bob) @ (icl_princ @ admin)) @ (icl_atom @ deletefile1))))) = $true)),
0.38/0.63	  inference(fool_elimination,[],[f55])).
0.38/0.63	thf(f57,plain,(
0.38/0.63	  (iclval @ (icl_says @ (icl_princ @ bob) @ (icl_atom @ deletefile1)))),
0.38/0.63	  inference(rectify,[],[f30])).
0.38/0.63	thf(f58,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_princ @ bob) @ (icl_atom @ deletefile1)))) = $true)),
0.38/0.63	  inference(fool_elimination,[],[f57])).
0.38/0.63	thf(f59,plain,(
0.38/0.63	  (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.38/0.63	  inference(fool_elimination,[],[f6])).
0.38/0.63	thf(f60,plain,(
0.38/0.63	  (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
0.38/0.63	  inference(fool_elimination,[],[f23])).
0.38/0.63	thf(f65,plain,(
0.38/0.63	  (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
0.38/0.63	  inference(fool_elimination,[],[f17])).
0.38/0.63	thf(f66,plain,(
0.38/0.63	  (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
0.38/0.63	  inference(rectify,[],[f12])).
0.38/0.63	thf(f67,plain,(
0.38/0.63	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.38/0.63	  inference(fool_elimination,[],[f66])).
0.38/0.63	thf(f68,plain,(
0.38/0.63	  (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
0.38/0.63	  inference(fool_elimination,[],[f20])).
0.38/0.63	thf(f70,plain,(
0.38/0.63	  ! [X0 : ($i > $o)] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
0.38/0.63	  inference(rectify,[],[f25])).
0.38/0.63	thf(f71,plain,(
0.38/0.63	  ! [X0 : ($i > $o)] : (((mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))) = $true)),
0.38/0.63	  inference(fool_elimination,[],[f70])).
0.38/0.63	thf(f72,plain,(
0.38/0.63	  ~(iclval @ (icl_atom @ deletefile1))),
0.38/0.63	  inference(rectify,[],[f28])).
0.38/0.63	thf(f73,plain,(
0.38/0.63	  ~ (((iclval @ (icl_atom @ deletefile1))) = $true)),
0.38/0.63	  inference(fool_elimination,[],[f72])).
0.38/0.63	thf(f74,plain,(
0.38/0.63	  (iclval @ (icl_says @ (icl_impl @ (icl_princ @ admin) @ icl_false) @ (icl_atom @ deletefile1)))),
0.38/0.63	  inference(rectify,[],[f29])).
0.38/0.63	thf(f75,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_impl @ (icl_princ @ admin) @ icl_false) @ (icl_atom @ deletefile1)))) = $true)),
0.38/0.63	  inference(fool_elimination,[],[f74])).
0.38/0.63	thf(f76,plain,(
0.38/0.63	  (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
0.38/0.63	  inference(fool_elimination,[],[f24])).
0.38/0.63	thf(f77,plain,(
0.38/0.63	  (((iclval @ (icl_atom @ deletefile1))) != $true)),
0.38/0.63	  inference(flattening,[],[f73])).
0.38/0.63	thf(f79,plain,(
0.38/0.63	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.38/0.63	  inference(cnf_transformation,[],[f33])).
0.38/0.63	thf(f82,plain,(
0.38/0.63	  (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
0.38/0.63	  inference(cnf_transformation,[],[f60])).
0.38/0.63	thf(f83,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_impl @ (icl_princ @ admin) @ icl_false) @ (icl_atom @ deletefile1)))) = $true)),
0.38/0.63	  inference(cnf_transformation,[],[f75])).
0.38/0.63	thf(f85,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o)] : ((((mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))) = $true)) )),
0.38/0.63	  inference(cnf_transformation,[],[f71])).
0.38/0.63	thf(f86,plain,(
0.38/0.63	  (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.38/0.63	  inference(cnf_transformation,[],[f59])).
0.38/0.63	thf(f87,plain,(
0.38/0.63	  (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
0.38/0.63	  inference(cnf_transformation,[],[f76])).
0.38/0.63	thf(f88,plain,(
0.38/0.63	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.38/0.63	  inference(cnf_transformation,[],[f42])).
0.38/0.63	thf(f89,plain,(
0.38/0.63	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.38/0.63	  inference(cnf_transformation,[],[f67])).
0.38/0.63	thf(f90,plain,(
0.38/0.63	  (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
0.38/0.63	  inference(cnf_transformation,[],[f68])).
0.38/0.63	thf(f91,plain,(
0.38/0.63	  (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
0.38/0.63	  inference(cnf_transformation,[],[f52])).
0.38/0.63	thf(f93,plain,(
0.38/0.63	  (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
0.38/0.63	  inference(cnf_transformation,[],[f65])).
0.38/0.63	thf(f94,plain,(
0.38/0.63	  (mfalse = icl_false)),
0.38/0.63	  inference(cnf_transformation,[],[f22])).
0.38/0.63	thf(f99,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_princ @ bob) @ (icl_atom @ deletefile1)))) = $true)),
0.38/0.63	  inference(cnf_transformation,[],[f58])).
0.38/0.63	thf(f100,plain,(
0.38/0.63	  (((iclval @ (icl_atom @ deletefile1))) != $true)),
0.38/0.63	  inference(cnf_transformation,[],[f77])).
0.38/0.63	thf(f101,plain,(
0.38/0.63	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
0.38/0.63	  inference(cnf_transformation,[],[f54])).
0.38/0.63	thf(f104,plain,(
0.38/0.63	  (((iclval @ (icl_says @ (icl_princ @ admin) @ (icl_says @ (icl_impl @ (icl_princ @ bob) @ (icl_princ @ admin)) @ (icl_atom @ deletefile1))))) = $true)),
0.38/0.63	  inference(cnf_transformation,[],[f56])).
0.38/0.63	thf(f105,plain,(
0.38/0.63	  (mfalse = (^[Y0 : $i]: ($false)))),
0.38/0.63	  inference(cnf_transformation,[],[f49])).
0.38/0.63	thf(f110,plain,(
0.38/0.63	  (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
0.38/0.63	  inference(definition_unfolding,[],[f86,f88,f79])).
0.38/0.63	thf(f112,plain,(
0.38/0.63	  (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
0.38/0.63	  inference(definition_unfolding,[],[f91,f101])).
0.38/0.63	thf(f115,plain,(
0.38/0.63	  (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
0.38/0.63	  inference(definition_unfolding,[],[f90,f101,f110])).
0.38/0.63	thf(f117,plain,(
0.38/0.63	  (icl_false = (^[Y0 : $i]: ($false)))),
0.38/0.63	  inference(definition_unfolding,[],[f94,f105])).
0.38/0.63	thf(f118,plain,(
0.38/0.63	  (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))))),
0.38/0.63	  inference(definition_unfolding,[],[f82,f101,f88])).
0.38/0.63	thf(f119,plain,(
0.38/0.63	  (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
0.38/0.63	  inference(definition_unfolding,[],[f87,f89])).
0.38/0.63	thf(f120,plain,(
0.38/0.63	  ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ admin) @ (^[Y0 : $i]: ($false))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1)))))),
0.38/0.63	  inference(definition_unfolding,[],[f83,f119,f118,f115,f93,f117,f112])).
0.38/0.63	thf(f121,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o)] : (((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0) @ X0))) = $true)) )),
0.38/0.63	  inference(definition_unfolding,[],[f85,f89,f110,f101])).
0.38/0.63	thf(f122,plain,(
0.38/0.63	  ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ bob) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1)))) = $true)),
0.38/0.63	  inference(definition_unfolding,[],[f99,f119,f118,f93,f112])).
0.38/0.63	thf(f123,plain,(
0.38/0.63	  ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1))) != $true)),
0.38/0.63	  inference(definition_unfolding,[],[f100,f119,f112])).
0.38/0.63	thf(f124,plain,(
0.38/0.63	  ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ admin) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ bob) @ ((^[Y0 : $i > $o]: (Y0)) @ admin)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1))))) = $true)),
0.38/0.63	  inference(definition_unfolding,[],[f104,f119,f118,f93,f118,f115,f93,f93,f112])).
0.38/0.63	thf(f126,definition,(
0.38/0.63	  (sF0 = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1))))),
0.38/0.63	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
0.38/0.63	thf(f127,plain,(
0.38/0.63	  (sF0 != $true)),
0.38/0.63	  inference(definition_folding,[],[f123,f126])).
0.38/0.63	thf(f128,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f121])).
0.38/0.63	thf(f129,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : (($true = (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0))) @ X1)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f128])).
0.38/0.63	thf(f130,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | (X0 @ X1))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f129])).
0.38/0.63	thf(f131,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) = $true) | (((X0 @ X1)) = $true)) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f130])).
0.38/0.63	thf(f132,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) = $false) | (((X0 @ X1)) = $true)) )),
0.38/0.63	  inference(not_proxy_clausification,[],[f131])).
0.38/0.63	thf(f133,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ X1)) = $true) | ($false = (((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK1 @ X1 @ X0))))) )),
0.38/0.63	  inference(sigma_proxy_clausification,[],[f132])).
0.38/0.63	thf(f134,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : (($false = (((rel @ X1 @ (sK1 @ X1 @ X0)) => (X0 @ (sK1 @ X1 @ X0))))) | (((X0 @ X1)) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f133])).
0.38/0.63	thf(f135,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ (sK1 @ X1 @ X0))) = $false) | (((X0 @ X1)) = $true)) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f134])).
0.38/0.63	thf(f136,plain,(
0.38/0.63	  ( ! [X0 : ($i > $o),X1 : $i] : (($true = ((rel @ X1 @ (sK1 @ X1 @ X0)))) | (((X0 @ X1)) = $true)) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f134])).
0.38/0.63	thf(f137,plain,(
0.38/0.63	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((bob @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))))) = $true)),
0.38/0.63	  inference(beta-eta_normalization,[],[f122])).
0.38/0.63	thf(f138,plain,(
0.38/0.63	  ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((bob @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))) @ X1)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f137])).
0.38/0.63	thf(f139,plain,(
0.38/0.63	  ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((bob @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f138])).
0.38/0.63	thf(f140,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((rel @ X1 @ Y0) => ((bob @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))) @ X2)) = $true)) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f139])).
0.38/0.63	thf(f141,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((rel @ X1 @ X2) => ((bob @ X2) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f140])).
0.38/0.63	thf(f142,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | ((((bob @ X2) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0)))))) = $true)) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f141])).
0.38/0.63	thf(f143,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0)))))) | (((bob @ X2)) = $true)) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f142])).
0.38/0.63	thf(f144,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0))) @ X3)) = $true) | (((bob @ X2)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f143])).
0.38/0.63	thf(f145,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((rel @ X2 @ X3) => (deletefile1 @ X3)))) | (((bob @ X2)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f144])).
0.38/0.63	thf(f146,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel @ X2 @ X3))) | (((bob @ X2)) = $true) | (((deletefile1 @ X3)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f145])).
0.38/0.63	thf(f147,plain,(
0.38/0.63	  (sF0 = $true) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ deletefile1))) = $false)),
0.38/0.63	  inference(iff_proxy_clausification,[],[f126])).
0.38/0.63	thf(f155,plain,(
0.38/0.63	  ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1)))))))) | (sF0 = $true)),
0.38/0.63	  inference(beta-eta_normalization,[],[f147])).
0.38/0.63	thf(f156,plain,(
0.38/0.63	  (sF0 = $true) | ($false = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))) @ sK2)))),
0.38/0.63	  inference(sigma_proxy_clausification,[],[f155])).
0.38/0.63	thf(f157,plain,(
0.38/0.63	  (sF0 = $true) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => (deletefile1 @ Y0))))))),
0.38/0.63	  inference(beta-eta_normalization,[],[f156])).
0.38/0.63	thf(f158,plain,(
0.38/0.63	  (sF0 = $true) | ($false = (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => (deletefile1 @ Y0))) @ sK3)))),
0.38/0.63	  inference(sigma_proxy_clausification,[],[f157])).
0.38/0.63	thf(f159,plain,(
0.38/0.63	  (sF0 = $true) | ((((rel @ sK2 @ sK3) => (deletefile1 @ sK3))) = $false)),
0.38/0.63	  inference(beta-eta_normalization,[],[f158])).
0.38/0.63	thf(f160,plain,(
0.38/0.63	  (((deletefile1 @ sK3)) = $false) | (sF0 = $true)),
0.38/0.63	  inference(imp_proxy_clausification,[],[f159])).
0.38/0.63	thf(f161,plain,(
0.38/0.63	  (sF0 = $true) | (((rel @ sK2 @ sK3)) = $true)),
0.38/0.63	  inference(imp_proxy_clausification,[],[f159])).
0.38/0.63	thf(f180,plain,(
0.38/0.63	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((admin @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (bob @ Y3)) | (admin @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (deletefile1 @ Y3))))))))))))))) = $true)),
0.38/0.63	  inference(beta-eta_normalization,[],[f124])).
0.38/0.63	thf(f181,plain,(
0.38/0.63	  ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((admin @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (bob @ Y3)) | (admin @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (deletefile1 @ Y3))))))))))))) @ X1)) = $true)) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f180])).
0.38/0.63	thf(f182,plain,(
0.38/0.63	  ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((admin @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (bob @ Y2)) | (admin @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f181])).
0.38/0.63	thf(f183,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((rel @ X1 @ Y0) => ((admin @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (bob @ Y2)) | (admin @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))))) @ X2)) = $true)) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f182])).
0.38/0.63	thf(f184,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((rel @ X1 @ X2) => ((admin @ X2) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (bob @ Y1)) | (admin @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f183])).
0.38/0.63	thf(f185,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | ($true = (((admin @ X2) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (bob @ Y1)) | (admin @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1)))))))))))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f184])).
0.38/0.63	thf(f186,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (bob @ Y1)) | (admin @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1)))))))))) | (((admin @ X2)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f185])).
0.38/0.63	thf(f187,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | (((admin @ X2)) = $true) | ($true = (((^[Y0 : $i]: ((rel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (bob @ Y1)) | (admin @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))) @ X3)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f186])).
0.38/0.63	thf(f188,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((rel @ X2 @ X3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => ((~ (bob @ Y0)) | (admin @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => (deletefile1 @ Y0)))))))) | (((admin @ X2)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f187])).
0.38/0.63	thf(f189,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel @ X2 @ X3))) | ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => ((~ (bob @ Y0)) | (admin @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => (deletefile1 @ Y0)))))) = $true) | (((admin @ X2)) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f188])).
0.38/0.63	thf(f190,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | (((admin @ X2)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => ((~ (bob @ Y0)) | (admin @ Y0)))))) = $true) | ($false = ((rel @ X2 @ X3))) | (((!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => (deletefile1 @ Y0))))) = $true)) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f189])).
0.38/0.63	thf(f191,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X1 @ X2))) | (((admin @ X2)) = $true) | ($false = ((rel @ X2 @ X3))) | (((!! @ $i @ (^[Y0 : $i]: ((rel @ X3 @ Y0) => (deletefile1 @ Y0))))) = $true) | ($true = (((^[Y0 : $i]: ((rel @ X3 @ Y0) => ((~ (bob @ Y0)) | (admin @ Y0)))) @ X4)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f190])).
0.38/0.63	thf(f192,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (((^[Y0 : $i]: ((rel @ X3 @ Y0) => ((~ (bob @ Y0)) | (admin @ Y0)))) @ X4))) | ($false = ((rel @ X2 @ X3))) | (((admin @ X2)) = $true) | ($true = (((^[Y0 : $i]: ((rel @ X3 @ Y0) => (deletefile1 @ Y0))) @ X5))) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f191])).
0.38/0.63	thf(f193,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = ((rel @ X1 @ X2))) | ($false = ((rel @ X2 @ X3))) | ((((rel @ X3 @ X5) => (deletefile1 @ X5))) = $true) | (((admin @ X2)) = $true) | ((((rel @ X3 @ X4) => ((~ (bob @ X4)) | (admin @ X4)))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f192])).
0.38/0.63	thf(f194,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((admin @ X2)) = $true) | (((deletefile1 @ X5)) = $true) | (((rel @ X3 @ X5)) = $false) | ((((rel @ X3 @ X4) => ((~ (bob @ X4)) | (admin @ X4)))) = $true) | ($false = ((rel @ X2 @ X3))) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f193])).
0.38/0.63	thf(f195,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = ((rel @ X1 @ X2))) | (((rel @ X3 @ X5)) = $false) | (((admin @ X2)) = $true) | (((rel @ X3 @ X4)) = $false) | (((deletefile1 @ X5)) = $true) | ((((~ (bob @ X4)) | (admin @ X4))) = $true) | ($false = ((rel @ X2 @ X3)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f194])).
0.38/0.63	thf(f196,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((deletefile1 @ X5)) = $true) | ($false = ((rel @ X1 @ X2))) | (((~ (bob @ X4))) = $true) | (((admin @ X2)) = $true) | ($false = ((rel @ X2 @ X3))) | (((rel @ X3 @ X4)) = $false) | (((admin @ X4)) = $true) | (((rel @ X3 @ X5)) = $false)) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f195])).
0.38/0.63	thf(f197,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = ((rel @ X2 @ X3))) | ($false = ((rel @ X1 @ X2))) | (((admin @ X4)) = $true) | (((admin @ X2)) = $true) | (((rel @ X3 @ X5)) = $false) | (((rel @ X3 @ X4)) = $false) | (((deletefile1 @ X5)) = $true) | ($false = ((bob @ X4)))) )),
0.38/0.63	  inference(not_proxy_clausification,[],[f196])).
0.38/0.63	thf(f198,plain,(
0.38/0.63	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (admin @ Y2)) | $false)))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))))) = $true)),
0.38/0.63	  inference(beta-eta_normalization,[],[f120])).
0.38/0.63	thf(f199,plain,(
0.38/0.63	  ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (admin @ Y2)) | $false)))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (deletefile1 @ Y2))))))))) @ X1)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f198])).
0.38/0.63	thf(f200,plain,(
0.38/0.63	  ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (admin @ Y1)) | $false)))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f199])).
0.38/0.63	thf(f201,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (admin @ Y1)) | $false)))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (deletefile1 @ Y1))))))) @ X2)) = $true)) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f200])).
0.38/0.63	thf(f202,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((rel @ X1 @ X2) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((~ (admin @ Y0)) | $false)))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0))))))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f201])).
0.38/0.63	thf(f203,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((~ (admin @ Y0)) | $false)))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0)))))) = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f202])).
0.38/0.63	thf(f204,plain,(
0.38/0.63	  ( ! [X2 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | (((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => ((~ (admin @ Y0)) | $false))))) = $true) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0))))))) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f203])).
0.38/0.63	thf(f205,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel @ X1 @ X2))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0)))))) | ($true = (((^[Y0 : $i]: ((rel @ X2 @ Y0) => ((~ (admin @ Y0)) | $false))) @ X3)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f204])).
0.38/0.63	thf(f206,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (((^[Y0 : $i]: ((rel @ X2 @ Y0) => ((~ (admin @ Y0)) | $false))) @ X3))) | ($false = ((rel @ X1 @ X2))) | ($true = (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (deletefile1 @ Y0))) @ X4)))) )),
0.38/0.63	  inference(pi_proxy_clausification,[],[f205])).
0.38/0.63	thf(f207,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X1 @ X2))) | ((((rel @ X2 @ X3) => ((~ (admin @ X3)) | $false))) = $true) | ((((rel @ X2 @ X4) => (deletefile1 @ X4))) = $true)) )),
0.38/0.63	  inference(beta-eta_normalization,[],[f206])).
0.38/0.63	thf(f208,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X2 @ X3))) | ($false = ((rel @ X1 @ X2))) | ((((rel @ X2 @ X4) => (deletefile1 @ X4))) = $true) | ((((~ (admin @ X3)) | $false)) = $true)) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f207])).
0.38/0.63	thf(f209,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X2 @ X4))) | ($false = ((rel @ X1 @ X2))) | ((((~ (admin @ X3)) | $false)) = $true) | (((deletefile1 @ X4)) = $true) | ($false = ((rel @ X2 @ X3)))) )),
0.38/0.63	  inference(imp_proxy_clausification,[],[f208])).
0.38/0.63	thf(f210,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X1 @ X2))) | ($false = $true) | ($false = ((rel @ X2 @ X4))) | (((~ (admin @ X3))) = $true) | (((deletefile1 @ X4)) = $true) | ($false = ((rel @ X2 @ X3)))) )),
0.38/0.63	  inference(or_proxy_clausification,[],[f209])).
0.38/0.63	thf(f211,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((admin @ X3))) | ($false = ((rel @ X2 @ X4))) | (((deletefile1 @ X4)) = $true) | ($false = ((rel @ X2 @ X3))) | ($false = $true) | ($false = ((rel @ X1 @ X2)))) )),
0.38/0.63	  inference(not_proxy_clausification,[],[f210])).
0.38/0.63	thf(f212,plain,(
0.38/0.63	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((rel @ X2 @ X4))) | ($false = ((rel @ X1 @ X2))) | ($false = ((rel @ X2 @ X3))) | ($false = ((admin @ X3))) | (((deletefile1 @ X4)) = $true)) )),
0.38/0.63	  inference(trivial_inequality_removal,[],[f211])).
0.38/0.63	thf(f222,definition,(
0.38/0.63	  spl5_3 <=> (((rel @ sK2 @ sK3)) = $true)),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition])).
0.38/0.63	thf(f224,plain,(
0.38/0.63	  (((rel @ sK2 @ sK3)) = $true) | ~spl5_3),
0.38/0.63	  inference(avatar_component_clause,[],[f222])).
0.38/0.63	thf(f226,definition,(
0.38/0.63	  spl5_4 <=> (sF0 = $true)),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition])).
0.38/0.63	thf(f229,plain,(
0.38/0.63	  spl5_3 | spl5_4),
0.38/0.63	  inference(avatar_split_clause,[],[f161,f226,f222])).
0.38/0.63	thf(f231,definition,(
0.38/0.63	  spl5_5 <=> (((deletefile1 @ sK3)) = $false)),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition])).
0.38/0.63	thf(f233,plain,(
0.38/0.63	  (((deletefile1 @ sK3)) = $false) | ~spl5_5),
0.38/0.63	  inference(avatar_component_clause,[],[f231])).
0.38/0.63	thf(f234,plain,(
0.38/0.63	  spl5_4 | spl5_5),
0.38/0.63	  inference(avatar_split_clause,[],[f160,f231,f226])).
0.38/0.63	thf(f235,plain,(
0.38/0.63	  ~spl5_4),
0.38/0.63	  inference(avatar_split_clause,[],[f127,f226])).
0.38/0.63	thf(f265,plain,(
0.38/0.63	  ( ! [X0 : $i] : (($false = $true) | (((rel @ X0 @ X0)) = $true) | (((rel @ X0 @ X0)) = $true)) )),
0.38/0.63	  inference(constrained_superposition,[],[f136,f135])).
0.38/0.63	thf(f267,plain,(
0.38/0.63	  ( ! [X0 : $i] : (($false = $true) | (((rel @ X0 @ X0)) = $true)) )),
0.38/0.63	  inference(duplicate_literal_removal,[],[f265])).
0.38/0.63	thf(f268,plain,(
0.38/0.63	  ( ! [X0 : $i] : ((((rel @ X0 @ X0)) = $true)) )),
0.38/0.63	  inference(trivial_inequality_removal,[],[f267])).
0.38/0.63	thf(f276,plain,(
0.38/0.63	  ( ! [X0 : $i] : (($false = ((rel @ X0 @ X0))) | ($false != $false) | (((bob @ X0)) = $true) | ($true = ((deletefile1 @ X0)))) )),
0.38/0.63	  inference(equality_factoring,[],[f146])).
0.38/0.63	thf(f281,plain,(
0.38/0.63	  ( ! [X0 : $i] : (($false = ((rel @ X0 @ X0))) | ($true = ((deletefile1 @ X0))) | (((bob @ X0)) = $true)) )),
0.38/0.63	  inference(trivial_inequality_removal,[],[f276])).
0.38/0.63	thf(f288,definition,(
0.38/0.63	  spl5_6 <=> ! [X0 : $i] : (((rel @ X0 @ sK2)) = $false)),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition])).
0.38/0.63	thf(f289,plain,(
0.38/0.63	  ( ! [X0 : $i] : ((((rel @ X0 @ sK2)) = $false)) ) | ~spl5_6),
0.38/0.63	  inference(avatar_component_clause,[],[f288])).
0.38/0.63	thf(f300,plain,(
0.38/0.63	  ( ! [X0 : $i] : ((((bob @ X0)) = $true) | ($true = ((deletefile1 @ X0))) | ($false = $true)) )),
0.38/0.63	  inference(forward_demodulation,[],[f281,f268])).
0.38/0.63	thf(f301,plain,(
0.38/0.63	  ( ! [X0 : $i] : (($true = ((deletefile1 @ X0))) | (((bob @ X0)) = $true)) )),
0.38/0.63	  inference(trivial_inequality_removal,[],[f300])).
0.38/0.63	thf(f305,plain,(
0.38/0.63	  ($false = $true) | (((bob @ sK3)) = $true) | ~spl5_5),
0.38/0.63	  inference(constrained_superposition,[],[f233,f301])).
0.38/0.63	thf(f306,plain,(
0.38/0.63	  (((bob @ sK3)) = $true) | ~spl5_5),
0.38/0.63	  inference(trivial_inequality_removal,[],[f305])).
0.38/0.63	thf(f316,plain,(
0.38/0.63	  ( ! [X0 : $i,X1 : $i] : ((((deletefile1 @ sK3)) = $true) | ($false = ((rel @ sK2 @ X1))) | (((rel @ X0 @ sK2)) = $false) | ($false = ((admin @ X1))) | ($false = $true)) ) | ~spl5_3),
0.38/0.63	  inference(constrained_superposition,[],[f224,f212])).
0.38/0.63	thf(f323,plain,(
0.38/0.63	  ( ! [X0 : $i,X1 : $i] : ((((rel @ X0 @ sK2)) = $false) | ($false = ((rel @ sK2 @ X1))) | (((deletefile1 @ sK3)) = $true) | ($false = ((admin @ X1)))) ) | ~spl5_3),
0.38/0.63	  inference(trivial_inequality_removal,[],[f316])).
0.38/0.63	thf(f330,plain,(
0.38/0.63	  ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = ((rel @ sK2 @ X1))) | (((rel @ X0 @ sK2)) = $false) | ($false = ((admin @ X1)))) ) | (~spl5_3 | ~spl5_5)),
0.38/0.63	  inference(forward_demodulation,[],[f323,f233])).
0.38/0.63	thf(f331,plain,(
0.38/0.63	  ( ! [X0 : $i,X1 : $i] : (($false = ((rel @ sK2 @ X1))) | (((rel @ X0 @ sK2)) = $false) | ($false = ((admin @ X1)))) ) | (~spl5_3 | ~spl5_5)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f330])).
0.38/0.63	thf(f335,definition,(
0.38/0.63	  spl5_8 <=> ! [X1 : $i] : (($false = ((rel @ sK2 @ X1))) | ($false = ((admin @ X1))))),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition])).
0.38/0.63	thf(f336,plain,(
0.38/0.63	  ( ! [X1 : $i] : (($false = ((rel @ sK2 @ X1))) | ($false = ((admin @ X1)))) ) | ~spl5_8),
0.38/0.63	  inference(avatar_component_clause,[],[f335])).
0.38/0.63	thf(f338,plain,(
0.38/0.63	  spl5_8 | spl5_6 | ~spl5_3 | ~spl5_5),
0.38/0.63	  inference(avatar_split_clause,[],[f331,f231,f222,f288,f335])).
0.38/0.63	thf(f341,plain,(
0.38/0.63	  ($false = $true) | ~spl5_6),
0.38/0.63	  inference(constrained_superposition,[],[f268,f289])).
0.38/0.63	thf(f345,plain,(
0.38/0.63	  $false | ~spl5_6),
0.38/0.63	  inference(trivial_inequality_removal,[],[f341])).
0.38/0.63	thf(f346,plain,(
0.38/0.63	  ~spl5_6),
0.38/0.63	  inference(avatar_contradiction_clause,[],[f345])).
0.38/0.63	thf(f347,plain,(
0.38/0.63	  (((admin @ sK2)) = $false) | ($false = $true) | ~spl5_8),
0.38/0.63	  inference(constrained_superposition,[],[f336,f268])).
0.38/0.63	thf(f349,plain,(
0.38/0.63	  ($false = ((admin @ sK3))) | ($false = $true) | (~spl5_3 | ~spl5_8)),
0.38/0.63	  inference(constrained_superposition,[],[f336,f224])).
0.38/0.63	thf(f354,plain,(
0.38/0.63	  ($false = ((admin @ sK3))) | (~spl5_3 | ~spl5_8)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f349])).
0.38/0.63	thf(f355,plain,(
0.38/0.63	  (((admin @ sK2)) = $false) | ~spl5_8),
0.38/0.63	  inference(trivial_inequality_removal,[],[f347])).
0.38/0.63	thf(f393,plain,(
0.38/0.63	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((bob @ X1)) = $false) | (((rel @ sK3 @ X1)) = $false) | (((admin @ X1)) = $true) | (((admin @ sK2)) = $true) | ($false = $true) | ($false = ((rel @ sK3 @ X2))) | (((deletefile1 @ X2)) = $true) | (((rel @ X0 @ sK2)) = $false)) ) | ~spl5_3),
0.38/0.63	  inference(constrained_superposition,[],[f224,f197])).
0.38/0.63	thf(f405,plain,(
0.38/0.63	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((rel @ sK3 @ X1)) = $false) | ($false = ((rel @ sK3 @ X2))) | (((deletefile1 @ X2)) = $true) | (((admin @ sK2)) = $true) | (((admin @ X1)) = $true) | (((bob @ X1)) = $false) | (((rel @ X0 @ sK2)) = $false)) ) | ~spl5_3),
0.38/0.63	  inference(trivial_inequality_removal,[],[f393])).
0.38/0.63	thf(f414,plain,(
0.38/0.63	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((bob @ X1)) = $false) | ($false = ((rel @ sK3 @ X2))) | ($false = $true) | (((rel @ X0 @ sK2)) = $false) | (((deletefile1 @ X2)) = $true) | (((rel @ sK3 @ X1)) = $false) | (((admin @ X1)) = $true)) ) | (~spl5_3 | ~spl5_8)),
0.38/0.63	  inference(forward_demodulation,[],[f405,f355])).
0.38/0.63	thf(f415,plain,(
0.38/0.63	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((bob @ X1)) = $false) | (((deletefile1 @ X2)) = $true) | (((rel @ X0 @ sK2)) = $false) | ($false = ((rel @ sK3 @ X2))) | (((admin @ X1)) = $true) | (((rel @ sK3 @ X1)) = $false)) ) | (~spl5_3 | ~spl5_8)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f414])).
0.38/0.63	thf(f419,definition,(
0.38/0.63	  spl5_9 <=> ! [X2 : $i] : ((((deletefile1 @ X2)) = $true) | ($false = ((rel @ sK3 @ X2))))),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition])).
0.38/0.63	thf(f420,plain,(
0.38/0.63	  ( ! [X2 : $i] : (($false = ((rel @ sK3 @ X2))) | (((deletefile1 @ X2)) = $true)) ) | ~spl5_9),
0.38/0.63	  inference(avatar_component_clause,[],[f419])).
0.38/0.63	thf(f422,definition,(
0.38/0.63	  spl5_10 <=> ! [X1 : $i] : ((((bob @ X1)) = $false) | (((admin @ X1)) = $true) | (((rel @ sK3 @ X1)) = $false))),
0.38/0.63	  introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition])).
0.38/0.63	thf(f423,plain,(
0.38/0.63	  ( ! [X1 : $i] : ((((rel @ sK3 @ X1)) = $false) | (((bob @ X1)) = $false) | (((admin @ X1)) = $true)) ) | ~spl5_10),
0.38/0.63	  inference(avatar_component_clause,[],[f422])).
0.38/0.63	thf(f425,plain,(
0.38/0.63	  spl5_6 | spl5_10 | spl5_9 | ~spl5_3 | ~spl5_8),
0.38/0.63	  inference(avatar_split_clause,[],[f415,f335,f222,f419,f422,f288])).
0.38/0.63	thf(f429,plain,(
0.38/0.63	  ($false = $true) | (((admin @ sK3)) = $true) | ($false = ((bob @ sK3))) | ~spl5_10),
0.38/0.63	  inference(constrained_superposition,[],[f268,f423])).
0.38/0.63	thf(f433,plain,(
0.38/0.63	  ($false = ((bob @ sK3))) | (((admin @ sK3)) = $true) | ~spl5_10),
0.38/0.63	  inference(trivial_inequality_removal,[],[f429])).
0.38/0.63	thf(f438,plain,(
0.38/0.63	  ($false = $true) | (((admin @ sK3)) = $true) | (~spl5_5 | ~spl5_10)),
0.38/0.63	  inference(forward_demodulation,[],[f433,f306])).
0.38/0.63	thf(f439,plain,(
0.38/0.63	  (((admin @ sK3)) = $true) | (~spl5_5 | ~spl5_10)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f438])).
0.38/0.63	thf(f443,plain,(
0.38/0.63	  ($false = $true) | (~spl5_3 | ~spl5_5 | ~spl5_8 | ~spl5_10)),
0.38/0.63	  inference(forward_demodulation,[],[f439,f354])).
0.38/0.63	thf(f444,plain,(
0.38/0.63	  $false | (~spl5_3 | ~spl5_5 | ~spl5_8 | ~spl5_10)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f443])).
0.38/0.63	thf(f445,plain,(
0.38/0.63	  ~spl5_3 | ~spl5_5 | ~spl5_8 | ~spl5_10),
0.38/0.63	  inference(avatar_contradiction_clause,[],[f444])).
0.38/0.63	thf(f446,plain,(
0.38/0.63	  ($false = $true) | (((deletefile1 @ sK3)) = $true) | ~spl5_9),
0.38/0.63	  inference(constrained_superposition,[],[f420,f268])).
0.38/0.63	thf(f453,plain,(
0.38/0.63	  (((deletefile1 @ sK3)) = $true) | ~spl5_9),
0.38/0.63	  inference(trivial_inequality_removal,[],[f446])).
0.38/0.63	thf(f459,plain,(
0.38/0.63	  ($false = $true) | (~spl5_5 | ~spl5_9)),
0.38/0.63	  inference(forward_demodulation,[],[f453,f233])).
0.38/0.63	thf(f460,plain,(
0.38/0.63	  $false | (~spl5_5 | ~spl5_9)),
0.38/0.63	  inference(trivial_inequality_removal,[],[f459])).
0.38/0.63	thf(f461,plain,(
0.38/0.63	  ~spl5_5 | ~spl5_9),
0.38/0.63	  inference(avatar_contradiction_clause,[],[f460])).
0.38/0.63	cnf(s2, plain, spl5_3 | spl5_4, inference(sat_conversion,[],[f229])).
0.38/0.63	cnf(s3, plain, spl5_4 | spl5_5, inference(sat_conversion,[],[f234])).
0.38/0.63	cnf(s4, plain, ~spl5_4, inference(sat_conversion,[],[f235])).
0.38/0.63	cnf(s11, plain, ~spl5_3 | ~spl5_5 | spl5_6 | spl5_8, inference(sat_conversion,[],[f338])).
0.38/0.63	cnf(s13, plain, ~spl5_6, inference(sat_conversion,[],[f346])).
0.38/0.63	cnf(s15, plain, ~spl5_3 | spl5_6 | ~spl5_8 | spl5_9 | spl5_10, inference(sat_conversion,[],[f425])).
0.38/0.63	cnf(s17, plain, ~spl5_3 | ~spl5_5 | ~spl5_8 | ~spl5_10, inference(sat_conversion,[],[f445])).
0.38/0.63	cnf(s19, plain, ~spl5_5 | ~spl5_9, inference(sat_conversion,[],[f461])).
0.38/0.63	cnf(s20, plain, ~spl5_3 | ~spl5_5 | spl5_8, inference(rat,[],[s11,s13])).
0.38/0.63	cnf(s25, plain, spl5_5, inference(rat,[],[s3,s4])).
0.38/0.63	cnf(s26, plain, ~spl5_9, inference(rat,[],[s19,s25])).
0.38/0.63	cnf(s27, plain, spl5_3, inference(rat,[],[s2,s4])).
0.38/0.63	cnf(s28, plain, spl5_8, inference(rat,[],[s20,s25,s27])).
0.38/0.63	cnf(s31, plain, spl5_10, inference(rat,[],[s15,s27,s26,s13,s28])).
0.38/0.63	cnf(s32, plain, $false, inference(rat,[],[s17,s27,s25,s31,s28])).
0.38/0.63	thf(f462,plain,(
0.38/0.63	  $false),
0.38/0.63	  inference(avatar_sat_refutation,[],[s32])).
0.38/0.63	% SZS output end Proof for theBenchmark
0.38/0.63	% (951406)------------------------------
0.38/0.63	% (951406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.38/0.63	% (951406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.38/0.63	% (951406)CaDiCaL version: 2.1.3
0.38/0.63	% (951406)Termination reason: Refutation
0.38/0.63	% (951406)Time elapsed: 0.036 s
0.38/0.63	% (951406)Peak memory usage: 13 MB
0.38/0.63	% (951406)Instructions burned: 36 (million)
0.38/0.63	% (951395)Success in time 0.094 s
0.38/0.63	% Vampire exiting
0.38/0.64	EOF