%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA053^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:20:26 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA053^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:20:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25 % (1259780)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (1259788)dis+10_1_sil=32000:sp=arity:random_seed=2653631657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (1259786)% WARNING: option uhcvi not known.
% 0.09/0.25 % (1259786)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3679937795:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (1259790)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3385725338:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (1259787)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2296847812:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (1259789)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=705277592:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (1259788) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1259780-1259788"...
% 0.09/0.25 % (1259791)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=315745894:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (1259786)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.25 % (1259789)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.25 % (1259786)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.25 % (1259788)...printing done.
% 0.09/0.25 % (1259788)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% 0.09/0.25 thf(type_def_5, type, mworld: $tType).
% 0.09/0.25 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.25 thf(func_def_0, type, mrel: (mworld > mworld > $o)).
% 0.09/0.25 thf(func_def_1, type, mactual: mworld).
% 0.09/0.25 thf(func_def_2, type, mlocal: ((mworld > $o) > $o)).
% 0.09/0.25 thf(func_def_4, type, mnot: ((mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_5, type, mand: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_6, type, mor: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_7, type, mimplies: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_8, type, mequiv: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_9, type, mbox: ((mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_10, type, mdia: ((mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_11, type, eiw_di: ($i > mworld > $o)).
% 0.09/0.25 thf(func_def_12, type, mforall_di: (($i > mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_13, type, mexists_di: (($i > mworld > $o) > mworld > $o)).
% 0.09/0.25 thf(func_def_14, type, h: ($i > mworld > $o)).
% 0.09/0.25 thf(func_def_15, type, bomb: ($i > mworld > $o)).
% 0.09/0.25 thf(func_def_16, type, defused: ($i > mworld > $o)).
% 0.09/0.25 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.25 thf(func_def_19, type, vNOT: ($o > $o)).
% 0.09/0.25 thf(func_def_20, type, db1: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_21, type, vAND: ($o > $o > $o)).
% 0.09/0.25 thf(func_def_22, type, db2: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_23, type, vOR: ($o > $o > $o)).
% 0.09/0.25 thf(func_def_24, type, vIMP: ($o > $o > $o)).
% 0.09/0.25 thf(func_def_25, type, vIFF: ($o > $o > $o)).
% 0.09/0.25 thf(func_def_26, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.09/0.25 thf(func_def_27, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.09/0.25 thf(func_def_30, type, sK0: (mworld > $i)).
% 0.09/0.25 thf(func_def_31, type, db3: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_32, type, sK1: mworld).
% 0.09/0.25 thf(func_def_34, type, db4: !>[X0: $tType]:(X0)).
% 0.09/0.25 thf(func_def_35, type, sK3: (mworld > $i > $i)).
% 0.09/0.25 thf(func_def_37, type, sK5: (mworld > $i)).
% 0.09/0.25 thf(f1,axiom,(
% 0.09/0.25 (mlocal = (^[X0 : (mworld > $o)] : ((X0 @ mactual))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.09/0.25 thf(f3,axiom,(
% 0.09/0.25 (mand = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.09/0.25 thf(f5,axiom,(
% 0.09/0.25 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.09/0.25 thf(f7,axiom,(
% 0.09/0.25 (mbox = (^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.09/0.25 thf(f9,axiom,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 0.09/0.25 thf(f10,axiom,(
% 0.09/0.25 ! [X0 : mworld] : ? [X1 : $i] : (eiw_di @ X1 @ X0)),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty)).
% 0.09/0.25 thf(f11,axiom,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld,X2 : $i] : (((mrel @ X0 @ X1) & (eiw_di @ X2 @ X0)) => (eiw_di @ X2 @ X1))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_cumul)).
% 0.09/0.25 thf(f12,axiom,(
% 0.09/0.25 (mforall_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.09/0.25 thf(f13,axiom,(
% 0.09/0.25 (mexists_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.09/0.25 thf(f15,axiom,(
% 0.09/0.25 (mlocal @ (mexists_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mimplies @ (mand @ (bomb @ X1) @ (h @ X0)) @ (mbox @ (bomb @ X1)))))))))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 0.09/0.25 thf(f16,axiom,(
% 0.09/0.25 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mexists_di @ (^[X1 : $i] : ((mbox @ (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0)))))))))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 0.09/0.25 thf(f17,conjecture,(
% 0.09/0.25 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mexists_di @ (^[X1 : $i] : ((mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0))))))))))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.09/0.25 thf(f18,negated_conjecture,(
% 0.09/0.25 ~(mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mexists_di @ (^[X1 : $i] : ((mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0))))))))))),
% 0.09/0.25 inference(negated_conjecture,[status(cth)],[f17])).
% 0.09/0.25 thf(f19,plain,(
% 0.09/0.25 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.09/0.25 inference(fool_elimination,[],[f1])).
% 0.09/0.25 thf(f22,plain,(
% 0.09/0.25 (mand = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.09/0.25 inference(rectify,[],[f3])).
% 0.09/0.25 thf(f23,plain,(
% 0.09/0.25 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f22])).
% 0.09/0.25 thf(f26,plain,(
% 0.09/0.25 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.09/0.25 inference(rectify,[],[f5])).
% 0.09/0.25 thf(f27,plain,(
% 0.09/0.25 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f26])).
% 0.09/0.25 thf(f30,plain,(
% 0.09/0.25 (mbox = (^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.09/0.25 inference(rectify,[],[f7])).
% 0.09/0.25 thf(f31,plain,(
% 0.09/0.25 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f30])).
% 0.09/0.25 thf(f34,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.09/0.25 inference(rectify,[],[f9])).
% 0.09/0.25 thf(f35,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X1)) = $true)),
% 0.09/0.25 inference(fool_elimination,[],[f34])).
% 0.09/0.25 thf(f36,plain,(
% 0.09/0.25 ! [X0 : mworld] : ? [X1 : $i] : (eiw_di @ X1 @ X0)),
% 0.09/0.25 inference(rectify,[],[f10])).
% 0.09/0.25 thf(f37,plain,(
% 0.09/0.25 ! [X0 : mworld] : ? [X1 : $i] : (((eiw_di @ X1 @ X0)) = $true)),
% 0.09/0.25 inference(fool_elimination,[],[f36])).
% 0.09/0.25 thf(f38,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld,X2 : $i] : (((mrel @ X0 @ X1) & (eiw_di @ X2 @ X0)) => (eiw_di @ X2 @ X1))),
% 0.09/0.25 inference(rectify,[],[f11])).
% 0.09/0.25 thf(f39,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld,X2 : $i] : (((((mrel @ X0 @ X1)) = $true) & (((eiw_di @ X2 @ X0)) = $true)) => (((eiw_di @ X2 @ X1)) = $true))),
% 0.09/0.25 inference(fool_elimination,[],[f38])).
% 0.09/0.25 thf(f40,plain,(
% 0.09/0.25 (mforall_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.09/0.25 inference(rectify,[],[f12])).
% 0.09/0.25 thf(f41,plain,(
% 0.09/0.25 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f40])).
% 0.09/0.25 thf(f42,plain,(
% 0.09/0.25 (mexists_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.09/0.25 inference(rectify,[],[f13])).
% 0.09/0.25 thf(f43,plain,(
% 0.09/0.25 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f42])).
% 0.09/0.25 thf(f46,plain,(
% 0.09/0.25 (mlocal @ (mexists_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mimplies @ (mand @ (bomb @ X1) @ (h @ X0)) @ (mbox @ (bomb @ X1)))))))))))),
% 0.09/0.25 inference(rectify,[],[f15])).
% 0.09/0.25 thf(f47,plain,(
% 0.09/0.25 ($true = ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y1) @ (h @ Y0)) @ (mbox @ (bomb @ Y1)))))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f46])).
% 0.09/0.25 thf(f48,plain,(
% 0.09/0.25 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mexists_di @ (^[X1 : $i] : ((mbox @ (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0)))))))))))),
% 0.09/0.25 inference(rectify,[],[f16])).
% 0.09/0.25 thf(f49,plain,(
% 0.09/0.25 ($true = ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f48])).
% 0.09/0.25 thf(f50,plain,(
% 0.09/0.25 ~(mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mexists_di @ (^[X1 : $i] : ((mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0))))))))))),
% 0.09/0.25 inference(rectify,[],[f18])).
% 0.09/0.25 thf(f51,plain,(
% 0.09/0.25 ~ ($true = ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.09/0.25 inference(fool_elimination,[],[f50])).
% 0.09/0.25 thf(f52,plain,(
% 0.09/0.25 ($true != ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.09/0.25 inference(flattening,[],[f51])).
% 0.09/0.25 thf(f53,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld,X2 : $i] : ((((eiw_di @ X2 @ X1)) = $true) | ((((mrel @ X0 @ X1)) != $true) | (((eiw_di @ X2 @ X0)) != $true)))),
% 0.09/0.25 inference(ennf_transformation,[],[f39])).
% 0.09/0.25 thf(f54,plain,(
% 0.09/0.25 ! [X0 : mworld,X1 : mworld,X2 : $i] : ((((eiw_di @ X2 @ X1)) = $true) | (((mrel @ X0 @ X1)) != $true) | (((eiw_di @ X2 @ X0)) != $true))),
% 0.09/0.25 inference(flattening,[],[f53])).
% 0.09/0.25 thf(f55,plain,(
% 0.09/0.25 ! [X0 : mworld] : ($true = ((eiw_di @ (sK0 @ X0) @ X0)))),
% 0.09/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f37])).
% 0.09/0.25 thf(f56,plain,(
% 0.09/0.25 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.09/0.25 inference(cnf_transformation,[],[f19])).
% 0.09/0.25 thf(f58,plain,(
% 0.09/0.25 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f23])).
% 0.09/0.25 thf(f60,plain,(
% 0.09/0.25 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f27])).
% 0.09/0.25 thf(f62,plain,(
% 0.09/0.25 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f31])).
% 0.09/0.25 thf(f64,plain,(
% 0.09/0.25 ( ! [X0 : mworld,X1 : mworld] : ((((mrel @ X0 @ X1)) = $true)) )),
% 0.09/0.25 inference(cnf_transformation,[],[f35])).
% 0.09/0.25 thf(f65,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true = ((eiw_di @ (sK0 @ X0) @ X0)))) )),
% 0.09/0.25 inference(cnf_transformation,[],[f55])).
% 0.09/0.25 thf(f66,plain,(
% 0.09/0.25 ( ! [X2 : $i,X0 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X1)) = $true) | (((mrel @ X0 @ X1)) != $true) | (((eiw_di @ X2 @ X0)) != $true)) )),
% 0.09/0.25 inference(cnf_transformation,[],[f54])).
% 0.09/0.25 thf(f67,plain,(
% 0.09/0.25 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f41])).
% 0.09/0.25 thf(f68,plain,(
% 0.09/0.25 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f43])).
% 0.09/0.25 thf(f70,plain,(
% 0.09/0.25 ($true = ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y1) @ (h @ Y0)) @ (mbox @ (bomb @ Y1)))))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f47])).
% 0.09/0.25 thf(f71,plain,(
% 0.09/0.25 ($true = ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f49])).
% 0.09/0.25 thf(f72,plain,(
% 0.09/0.25 ($true != ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.09/0.25 inference(cnf_transformation,[],[f52])).
% 0.09/0.25 thf(f76,plain,(
% 0.09/0.25 ($true = (((^[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 > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (bomb @ Y1) @ (h @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (bomb @ Y1)))))))))))),
% 0.09/0.25 inference(definition_unfolding,[],[f70,f56,f68,f62,f67,f60,f58,f62])).
% 0.09/0.25 thf(f77,plain,(
% 0.09/0.25 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[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 > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))))),
% 0.09/0.25 inference(definition_unfolding,[],[f71,f56,f62,f67,f68,f62,f60,f58])).
% 0.09/0.25 thf(f78,plain,(
% 0.09/0.25 ($true != (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.09/0.25 inference(definition_unfolding,[],[f72,f56,f62,f67,f68,f60,f58])).
% 0.09/0.25 thf(f79,plain,(
% 0.09/0.25 ($true != ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (((bomb @ Y1 @ Y0) & (h @ Y2 @ Y0)) => (defused @ Y1 @ Y0)))))))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f78])).
% 0.09/0.25 thf(f80,plain,(
% 0.09/0.25 ($false = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (((bomb @ Y1 @ Y0) & (h @ Y2 @ Y0)) => (defused @ Y1 @ Y0)))))))))) @ sK1)))),
% 0.09/0.25 inference(sigma_proxy_clausification,[],[f79])).
% 0.09/0.25 thf(f81,plain,(
% 0.09/0.25 ($false = (((mrel @ mactual @ sK1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK1) & (((bomb @ Y0 @ sK1) & (h @ Y1 @ sK1)) => (defused @ Y0 @ sK1)))))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f80])).
% 0.09/0.25 thf(f82,plain,(
% 0.09/0.25 ($false = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK1) & (((bomb @ Y0 @ sK1) & (h @ Y1 @ sK1)) => (defused @ Y0 @ sK1))))))))))),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f81])).
% 0.09/0.25 thf(f84,plain,(
% 0.09/0.25 ($false = (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK1) & (((bomb @ Y0 @ sK1) & (h @ Y1 @ sK1)) => (defused @ Y0 @ sK1))))))) @ sK2)))),
% 0.09/0.25 inference(sigma_proxy_clausification,[],[f82])).
% 0.09/0.25 thf(f85,plain,(
% 0.09/0.25 ($false = (((eiw_di @ sK2 @ sK1) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) & (((bomb @ sK2 @ sK1) & (h @ Y0 @ sK1)) => (defused @ sK2 @ sK1))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f84])).
% 0.09/0.25 thf(f86,plain,(
% 0.09/0.25 ($false = ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) & (((bomb @ sK2 @ sK1) & (h @ Y0 @ sK1)) => (defused @ sK2 @ sK1)))))))),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f85])).
% 0.09/0.25 thf(f87,plain,(
% 0.09/0.25 ($true = ((eiw_di @ sK2 @ sK1)))),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f85])).
% 0.09/0.25 thf(f88,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK1) & (((bomb @ sK2 @ sK1) & (h @ Y0 @ sK1)) => (defused @ sK2 @ sK1)))) @ X1)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f86])).
% 0.09/0.25 thf(f89,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($false = (((eiw_di @ X1 @ sK1) & (((bomb @ sK2 @ sK1) & (h @ X1 @ sK1)) => (defused @ sK2 @ sK1)))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f88])).
% 0.09/0.25 thf(f90,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($false = ((((bomb @ sK2 @ sK1) & (h @ X1 @ sK1)) => (defused @ sK2 @ sK1)))) | ($false = ((eiw_di @ X1 @ sK1)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f89])).
% 0.09/0.25 thf(f91,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($false = ((defused @ sK2 @ sK1))) | ($false = ((eiw_di @ X1 @ sK1)))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f90])).
% 0.09/0.25 thf(f92,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($true = (((bomb @ sK2 @ sK1) & (h @ X1 @ sK1)))) | ($false = ((eiw_di @ X1 @ sK1)))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f90])).
% 0.09/0.25 thf(f93,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($true = ((h @ X1 @ sK1))) | ($false = ((eiw_di @ X1 @ sK1)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f92])).
% 0.09/0.25 thf(f94,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($true = ((bomb @ sK2 @ sK1))) | ($false = ((eiw_di @ X1 @ sK1)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f92])).
% 0.09/0.25 thf(f95,plain,(
% 0.09/0.25 ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (((bomb @ Y1 @ Y3) & (h @ Y2 @ Y3)) => (defused @ Y1 @ Y3))))))))))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f77])).
% 0.09/0.25 thf(f96,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($true = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (((bomb @ Y1 @ Y3) & (h @ Y2 @ Y3)) => (defused @ Y1 @ Y3))))))))))))) @ X1)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f95])).
% 0.09/0.25 thf(f97,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($true = (((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2))))))))))))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f96])).
% 0.09/0.25 thf(f98,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2)))))))))))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f97])).
% 0.09/0.25 thf(f99,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2)))))))))) @ X2)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f98])).
% 0.09/0.25 thf(f100,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = (((eiw_di @ X2 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1)))))))))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f99])).
% 0.09/0.25 thf(f101,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1))))))))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f100])).
% 0.09/0.25 thf(f102,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1))))))) @ (sK3 @ X1 @ X2))))) )),
% 0.09/0.25 inference(sigma_proxy_clausification,[],[f101])).
% 0.09/0.25 thf(f103,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = (((eiw_di @ (sK3 @ X1 @ X2) @ X1) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK3 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0))))))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f102])).
% 0.09/0.25 thf(f104,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK3 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0)))))))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f103])).
% 0.09/0.25 thf(f105,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((eiw_di @ (sK3 @ X1 @ X2) @ X1)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f103])).
% 0.09/0.25 thf(f106,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK3 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0)))) @ X3)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f104])).
% 0.09/0.25 thf(f107,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = (((mrel @ X1 @ X3) => (((bomb @ X2 @ X3) & (h @ (sK3 @ X1 @ X2) @ X3)) => (defused @ X2 @ X3)))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f106])).
% 0.09/0.25 thf(f108,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X1 @ X3))) | ($true = ((((bomb @ X2 @ X3) & (h @ (sK3 @ X1 @ X2) @ X3)) => (defused @ X2 @ X3))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f107])).
% 0.09/0.25 thf(f109,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X1 @ X3))) | ($false = (((bomb @ X2 @ X3) & (h @ (sK3 @ X1 @ X2) @ X3)))) | ($true = ((defused @ X2 @ X3)))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f108])).
% 0.09/0.25 thf(f110,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X1 @ X3))) | ($false = ((h @ (sK3 @ X1 @ X2) @ X3))) | ($true = ((defused @ X2 @ X3))) | ($false = ((bomb @ X2 @ X3)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f109])).
% 0.09/0.25 thf(f111,plain,(
% 0.09/0.25 ($true = ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (((bomb @ Y2 @ Y1) & (h @ Y0 @ Y1)) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (bomb @ Y2 @ Y3))))))))))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f76])).
% 0.09/0.25 thf(f112,plain,(
% 0.09/0.25 ($true = (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (((bomb @ Y2 @ Y1) & (h @ Y0 @ Y1)) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (bomb @ Y2 @ Y3))))))))))))) @ sK4)))),
% 0.09/0.25 inference(sigma_proxy_clausification,[],[f111])).
% 0.09/0.25 thf(f113,plain,(
% 0.09/0.25 ($true = (((eiw_di @ sK4 @ mactual) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (((bomb @ Y1 @ Y0) & (h @ sK4 @ Y0)) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (bomb @ Y1 @ Y2))))))))))))))),
% 0.09/0.25 inference(beta-eta_normalization,[],[f112])).
% 0.09/0.25 thf(f114,plain,(
% 0.09/0.25 ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (((bomb @ Y1 @ Y0) & (h @ sK4 @ Y0)) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (bomb @ Y1 @ Y2)))))))))))))),
% 0.09/0.25 inference(and_proxy_clausification,[],[f113])).
% 0.09/0.25 thf(f115,plain,(
% 0.09/0.25 ($true = ((eiw_di @ sK4 @ mactual)))),
% 0.09/0.25 inference(and_proxy_clausification,[],[f113])).
% 0.09/0.25 thf(f116,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($true = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (((bomb @ Y1 @ Y0) & (h @ sK4 @ Y0)) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (bomb @ Y1 @ Y2)))))))))) @ X1)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f114])).
% 0.09/0.25 thf(f117,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($true = (((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((bomb @ Y0 @ X1) & (h @ sK4 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (bomb @ Y0 @ Y1)))))))))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f116])).
% 0.09/0.25 thf(f118,plain,(
% 0.09/0.25 ( ! [X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((bomb @ Y0 @ X1) & (h @ sK4 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (bomb @ Y0 @ Y1))))))))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f117])).
% 0.09/0.25 thf(f119,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((bomb @ Y0 @ X1) & (h @ sK4 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (bomb @ Y0 @ Y1))))))) @ X2)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f118])).
% 0.09/0.25 thf(f120,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | ($true = (((eiw_di @ X2 @ X1) => (((bomb @ X2 @ X1) & (h @ sK4 @ X1)) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (bomb @ X2 @ Y0))))))))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f119])).
% 0.09/0.25 thf(f121,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((((bomb @ X2 @ X1) & (h @ sK4 @ X1)) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (bomb @ X2 @ Y0)))))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f120])).
% 0.09/0.25 thf(f122,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = (((bomb @ X2 @ X1) & (h @ sK4 @ X1)))) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (bomb @ X2 @ Y0))))))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f121])).
% 0.09/0.25 thf(f123,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (bomb @ X2 @ Y0)))))) | ($false = ((bomb @ X2 @ X1)))) )),
% 0.09/0.25 inference(and_proxy_clausification,[],[f122])).
% 0.09/0.25 thf(f124,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($true = (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (bomb @ X2 @ Y0))) @ X3))) | ($false = ((bomb @ X2 @ X1)))) )),
% 0.09/0.25 inference(pi_proxy_clausification,[],[f123])).
% 0.09/0.25 thf(f125,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($true = (((mrel @ X1 @ X3) => (bomb @ X2 @ X3)))) | ($false = ((bomb @ X2 @ X1)))) )),
% 0.09/0.25 inference(beta-eta_normalization,[],[f124])).
% 0.09/0.25 thf(f126,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((mrel @ mactual @ X1))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($false = ((mrel @ X1 @ X3))) | ($false = ((bomb @ X2 @ X1))) | ($true = ((bomb @ X2 @ X3)))) )),
% 0.09/0.25 inference(imp_proxy_clausification,[],[f125])).
% 0.09/0.25 thf(f136,definition,(
% 0.09/0.25 spl6_1 <=> ! [X1 : $i] : ($false = ((eiw_di @ X1 @ sK1)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
% 0.09/0.25 thf(f137,plain,(
% 0.09/0.25 ( ! [X1 : $i] : (($false = ((eiw_di @ X1 @ sK1)))) ) | ~spl6_1),
% 0.09/0.25 inference(avatar_component_clause,[],[f136])).
% 0.09/0.25 thf(f139,definition,(
% 0.09/0.25 spl6_2 <=> ($true = ((bomb @ sK2 @ sK1)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition])).
% 0.09/0.25 thf(f141,plain,(
% 0.09/0.25 ($true = ((bomb @ sK2 @ sK1))) | ~spl6_2),
% 0.09/0.25 inference(avatar_component_clause,[],[f139])).
% 0.09/0.25 thf(f142,plain,(
% 0.09/0.25 spl6_1 | spl6_2),
% 0.09/0.25 inference(avatar_split_clause,[],[f94,f139,f136])).
% 0.09/0.25 thf(f144,definition,(
% 0.09/0.25 spl6_3 <=> ($false = ((defused @ sK2 @ sK1)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition])).
% 0.09/0.25 thf(f146,plain,(
% 0.09/0.25 ($false = ((defused @ sK2 @ sK1))) | ~spl6_3),
% 0.09/0.25 inference(avatar_component_clause,[],[f144])).
% 0.09/0.25 thf(f147,plain,(
% 0.09/0.25 spl6_1 | spl6_3),
% 0.09/0.25 inference(avatar_split_clause,[],[f91,f144,f136])).
% 0.09/0.25 thf(f157,plain,(
% 0.09/0.25 ( ! [X2 : $i,X0 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X0)) != $true) | (((eiw_di @ X2 @ X1)) = $true)) )),
% 0.09/0.25 inference(forward_subsumption_resolution,[],[f66,f64])).
% 0.09/0.25 thf(f159,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true != $true) | ($true = ((eiw_di @ sK4 @ X0)))) )),
% 0.09/0.25 inference(constrained_superposition,[],[f157,f115])).
% 0.09/0.25 thf(f160,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true != $true) | ($true = ((eiw_di @ sK2 @ X0)))) )),
% 0.09/0.25 inference(constrained_superposition,[],[f157,f87])).
% 0.09/0.25 thf(f163,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true = ((eiw_di @ sK2 @ X0)))) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f160])).
% 0.09/0.25 thf(f164,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true = ((eiw_di @ sK4 @ X0)))) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f159])).
% 0.09/0.25 thf(f222,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($true = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((eiw_di @ (sK3 @ X1 @ X2) @ X1)))) )),
% 0.09/0.25 inference(forward_demodulation,[],[f105,f64])).
% 0.09/0.25 thf(f223,plain,(
% 0.09/0.25 ( ! [X2 : $i,X1 : mworld] : (($true = ((eiw_di @ (sK3 @ X1 @ X2) @ X1))) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f222])).
% 0.09/0.25 thf(f226,plain,(
% 0.09/0.25 ( ! [X2 : mworld,X0 : mworld,X1 : $i] : (($true != $true) | ($true = ((eiw_di @ (sK3 @ X0 @ X1) @ X2))) | (((eiw_di @ X1 @ X0)) = $false)) )),
% 0.09/0.25 inference(constrained_superposition,[],[f157,f223])).
% 0.09/0.25 thf(f227,plain,(
% 0.09/0.25 ( ! [X2 : mworld,X0 : mworld,X1 : $i] : (($true = ((eiw_di @ (sK3 @ X0 @ X1) @ X2))) | (((eiw_di @ X1 @ X0)) = $false)) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f226])).
% 0.09/0.25 thf(f230,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($false = ((mrel @ X1 @ X3))) | ($false = ((bomb @ X2 @ X1))) | ($true = ((bomb @ X2 @ X3)))) )),
% 0.09/0.25 inference(forward_demodulation,[],[f126,f64])).
% 0.09/0.25 thf(f231,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($false = ((mrel @ X1 @ X3))) | ($false = ((bomb @ X2 @ X1))) | ($true = ((bomb @ X2 @ X3)))) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f230])).
% 0.09/0.25 thf(f232,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ sK4 @ X1))) | ($false = ((bomb @ X2 @ X1))) | ($true = ((bomb @ X2 @ X3)))) )),
% 0.09/0.25 inference(forward_demodulation,[],[f231,f64])).
% 0.09/0.25 thf(f233,plain,(
% 0.09/0.25 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = ((bomb @ X2 @ X3))) | ($false = ((bomb @ X2 @ X1))) | ($false = ((h @ sK4 @ X1))) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f232])).
% 0.09/0.25 thf(f264,definition,(
% 0.09/0.25 spl6_4 <=> ($false = ((h @ sK4 @ sK1)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition])).
% 0.09/0.25 thf(f266,plain,(
% 0.09/0.25 ($false = ((h @ sK4 @ sK1))) | ~spl6_4),
% 0.09/0.25 inference(avatar_component_clause,[],[f264])).
% 0.09/0.25 thf(f268,definition,(
% 0.09/0.25 spl6_5 <=> ! [X0 : mworld] : ($true = ((bomb @ sK2 @ X0)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition])).
% 0.09/0.25 thf(f269,plain,(
% 0.09/0.25 ( ! [X0 : mworld] : (($true = ((bomb @ sK2 @ X0)))) ) | ~spl6_5),
% 0.09/0.25 inference(avatar_component_clause,[],[f268])).
% 0.09/0.25 thf(f272,plain,(
% 0.09/0.25 ($true = $false) | ~spl6_1),
% 0.09/0.25 inference(constrained_superposition,[],[f137,f65])).
% 0.09/0.26 thf(f327,plain,(
% 0.09/0.26 $false | ~spl6_1),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f272])).
% 0.09/0.26 thf(f328,plain,(
% 0.09/0.26 ~spl6_1),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f327])).
% 0.09/0.26 thf(f329,plain,(
% 0.09/0.26 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X1 @ X3))) | ($false = ((h @ (sK3 @ X1 @ X2) @ X3))) | ($true = ((defused @ X2 @ X3))) | ($false = ((bomb @ X2 @ X3)))) )),
% 0.09/0.26 inference(forward_demodulation,[],[f110,f64])).
% 0.09/0.26 thf(f330,plain,(
% 0.09/0.26 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X1 @ X3))) | ($false = ((h @ (sK3 @ X1 @ X2) @ X3))) | ($true = ((defused @ X2 @ X3))) | ($false = ((bomb @ X2 @ X3)))) )),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f329])).
% 0.09/0.26 thf(f331,plain,(
% 0.09/0.26 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((h @ (sK3 @ X1 @ X2) @ X3))) | ($true = ((defused @ X2 @ X3))) | ($false = ((bomb @ X2 @ X3)))) )),
% 0.09/0.26 inference(forward_demodulation,[],[f330,f64])).
% 0.09/0.26 thf(f332,plain,(
% 0.09/0.26 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((h @ (sK3 @ X1 @ X2) @ X3))) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((defused @ X2 @ X3))) | ($false = ((bomb @ X2 @ X3)))) )),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f331])).
% 0.09/0.26 thf(f333,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($true = $false) | ($true = ((bomb @ sK2 @ X0))) | ($false = ((h @ sK4 @ sK1))) | ($false = ((eiw_di @ sK2 @ sK1)))) ) | ~spl6_2),
% 0.09/0.26 inference(constrained_superposition,[],[f141,f233])).
% 0.09/0.26 thf(f336,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($true = ((bomb @ sK2 @ X0))) | ($false = ((h @ sK4 @ sK1))) | ($false = ((eiw_di @ sK2 @ sK1)))) ) | ~spl6_2),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f333])).
% 0.09/0.26 thf(f339,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($true = $false) | ($true = ((bomb @ sK2 @ X0))) | ($false = ((h @ sK4 @ sK1)))) ) | ~spl6_2),
% 0.09/0.26 inference(forward_demodulation,[],[f336,f87])).
% 0.09/0.26 thf(f340,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($true = ((bomb @ sK2 @ X0))) | ($false = ((h @ sK4 @ sK1)))) ) | ~spl6_2),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f339])).
% 0.09/0.26 thf(f342,plain,(
% 0.09/0.26 spl6_4 | spl6_5 | ~spl6_2),
% 0.09/0.26 inference(avatar_split_clause,[],[f340,f139,f268,f264])).
% 0.09/0.26 thf(f345,plain,(
% 0.09/0.26 ( ! [X0 : mworld,X1 : $i] : (($true = $false) | ($false = ((eiw_di @ (sK3 @ X0 @ X1) @ sK1))) | (((eiw_di @ X1 @ X0)) = $false) | ($true = ((defused @ X1 @ sK1))) | ($false = ((bomb @ X1 @ sK1)))) )),
% 0.09/0.26 inference(constrained_superposition,[],[f93,f332])).
% 0.09/0.26 thf(f346,plain,(
% 0.09/0.26 ( ! [X0 : mworld,X1 : $i] : (($false = ((eiw_di @ (sK3 @ X0 @ X1) @ sK1))) | (((eiw_di @ X1 @ X0)) = $false) | ($true = ((defused @ X1 @ sK1))) | ($false = ((bomb @ X1 @ sK1)))) )),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f345])).
% 0.09/0.26 thf(f364,plain,(
% 0.09/0.26 ( ! [X0 : mworld,X1 : $i] : (($true = $false) | (((eiw_di @ X1 @ X0)) = $false) | (((eiw_di @ X1 @ X0)) = $false) | ($true = ((defused @ X1 @ sK1))) | ($false = ((bomb @ X1 @ sK1)))) )),
% 0.09/0.26 inference(constrained_superposition,[],[f227,f346])).
% 0.09/0.26 thf(f365,plain,(
% 0.09/0.26 ( ! [X0 : mworld,X1 : $i] : (($true = $false) | (((eiw_di @ X1 @ X0)) = $false) | ($true = ((defused @ X1 @ sK1))) | ($false = ((bomb @ X1 @ sK1)))) )),
% 0.09/0.26 inference(duplicate_literal_removal,[],[f364])).
% 0.09/0.26 thf(f366,plain,(
% 0.09/0.26 ( ! [X0 : mworld,X1 : $i] : (($true = ((defused @ X1 @ sK1))) | (((eiw_di @ X1 @ X0)) = $false) | ($false = ((bomb @ X1 @ sK1)))) )),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f365])).
% 0.09/0.26 thf(f376,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($true = $false) | ($false = ((eiw_di @ sK2 @ X0))) | ($false = ((bomb @ sK2 @ sK1)))) ) | ~spl6_3),
% 0.09/0.26 inference(constrained_superposition,[],[f366,f146])).
% 0.09/0.26 thf(f418,plain,(
% 0.09/0.26 ( ! [X0 : mworld] : (($false = ((eiw_di @ sK2 @ X0))) | ($false = ((bomb @ sK2 @ sK1)))) ) | ~spl6_3),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f376])).
% 0.09/0.26 thf(f435,plain,(
% 0.09/0.26 ($true = $false) | ($false = ((bomb @ sK2 @ sK1))) | ~spl6_3),
% 0.09/0.26 inference(forward_demodulation,[],[f418,f163])).
% 0.09/0.26 thf(f436,plain,(
% 0.09/0.26 ($false = ((bomb @ sK2 @ sK1))) | ~spl6_3),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f435])).
% 0.09/0.26 thf(f446,plain,(
% 0.09/0.26 ($true = $false) | (~spl6_3 | ~spl6_5)),
% 0.09/0.26 inference(forward_demodulation,[],[f436,f269])).
% 0.09/0.26 thf(f447,plain,(
% 0.09/0.26 $false | (~spl6_3 | ~spl6_5)),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f446])).
% 0.09/0.26 thf(f448,plain,(
% 0.09/0.26 ~spl6_3 | ~spl6_5),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f447])).
% 0.09/0.26 thf(f449,plain,(
% 0.09/0.26 ($true = $false) | ($false = ((eiw_di @ sK4 @ sK1))) | ~spl6_4),
% 0.09/0.26 inference(constrained_superposition,[],[f266,f93])).
% 0.09/0.26 thf(f454,plain,(
% 0.09/0.26 ($false = ((eiw_di @ sK4 @ sK1))) | ~spl6_4),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f449])).
% 0.09/0.26 thf(f458,plain,(
% 0.09/0.26 ($true = $false) | ~spl6_4),
% 0.09/0.26 inference(forward_demodulation,[],[f454,f164])).
% 0.09/0.26 thf(f459,plain,(
% 0.09/0.26 $false | ~spl6_4),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f458])).
% 0.09/0.26 thf(f460,plain,(
% 0.09/0.26 ~spl6_4),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f459])).
% 0.09/0.26 cnf(s1, plain, spl6_1 | spl6_2, inference(sat_conversion,[],[f142])).
% 0.09/0.26 cnf(s2, plain, spl6_1 | spl6_3, inference(sat_conversion,[],[f147])).
% 0.09/0.26 cnf(s18, plain, ~spl6_1, inference(sat_conversion,[],[f328])).
% 0.09/0.26 cnf(s20, plain, ~spl6_2 | spl6_4 | spl6_5, inference(sat_conversion,[],[f342])).
% 0.09/0.26 cnf(s26, plain, ~spl6_3 | ~spl6_5, inference(sat_conversion,[],[f448])).
% 0.09/0.26 cnf(s28, plain, ~spl6_4, inference(sat_conversion,[],[f460])).
% 0.09/0.26 cnf(s29, plain, ~spl6_2 | spl6_5, inference(rat,[],[s20,s28])).
% 0.09/0.26 cnf(s33, plain, spl6_3, inference(rat,[],[s2,s18])).
% 0.09/0.26 cnf(s34, plain, ~spl6_5, inference(rat,[],[s26,s33])).
% 0.09/0.26 cnf(s35, plain, ~spl6_2, inference(rat,[],[s29,s34])).
% 0.09/0.26 cnf(s36, plain, $false, inference(rat,[],[s1,s35,s18])).
% 0.09/0.26 thf(f461,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(avatar_sat_refutation,[],[s36])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (1259788)------------------------------
% 0.09/0.26 % (1259788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1259788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1259788)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1259788)Termination reason: Refutation
% 0.09/0.26 % (1259788)Time elapsed: 0.011 s
% 0.09/0.26 % (1259788)Peak memory usage: 13 MB
% 0.09/0.26 % (1259788)Instructions burned: 38 (million)
% 0.09/0.26 % (1259780)Success in time 0.037 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------