TSTP Solution File: CSR120^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR120^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:46:02 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR120^1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.31 % Computer : n032.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Sun May 19 02:12:53 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % (28163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (28168)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (28165)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (28169)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (28164)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (28170)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (28166)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.33 % (28166)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.33 % (28167)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % Exception at run slice level% Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % (28167)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.33 % Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % (28166)First to succeed.
% 0.16/0.33 % (28169)Also succeeded, but the first one will report.
% 0.16/0.33 % (28166)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28163"
% 0.16/0.33 % (28166)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% 0.16/0.33 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.16/0.33 thf(func_def_0, type, num: $tType).
% 0.16/0.33 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.16/0.33 thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 0.16/0.33 thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.16/0.33 thf(func_def_9, type, vNOT: $o > $o).
% 0.16/0.33 thf(func_def_12, type, vOR: $o > $o > $o).
% 0.16/0.33 thf(func_def_14, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.16/0.33 thf(func_def_15, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.16/0.33 thf(func_def_16, type, vAND: $o > $o > $o).
% 0.16/0.33 thf(func_def_17, type, vIMP: $o > $o > $o).
% 0.16/0.33 thf(func_def_18, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.16/0.33 thf(f155,plain,(
% 0.16/0.33 $false),
% 0.16/0.33 inference(avatar_sat_refutation,[],[f91,f107,f154])).
% 0.16/0.33 thf(f154,plain,(
% 0.16/0.33 ~spl0_1),
% 0.16/0.33 inference(avatar_contradiction_clause,[],[f153])).
% 0.16/0.33 thf(f153,plain,(
% 0.16/0.33 $false | ~spl0_1),
% 0.16/0.33 inference(trivial_inequality_removal,[],[f151])).
% 0.16/0.33 thf(f151,plain,(
% 0.16/0.33 ($false != $false) | ~spl0_1),
% 0.16/0.33 inference(superposition,[],[f149,f140])).
% 0.16/0.33 thf(f140,plain,(
% 0.16/0.33 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | ~spl0_1),
% 0.16/0.33 inference(trivial_inequality_removal,[],[f139])).
% 0.16/0.33 thf(f139,plain,(
% 0.16/0.33 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | ~spl0_1),
% 0.16/0.33 inference(forward_demodulation,[],[f130,f117])).
% 0.16/0.33 thf(f117,plain,(
% 0.16/0.33 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl0_1),
% 0.16/0.33 inference(trivial_inequality_removal,[],[f116])).
% 0.16/0.33 thf(f116,plain,(
% 0.16/0.33 ($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl0_1),
% 0.16/0.33 inference(superposition,[],[f114,f5])).
% 0.16/0.33 thf(f5,plain,(
% 0.16/0.33 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.16/0.33 introduced(fool_axiom,[])).
% 0.16/0.34 thf(f114,plain,(
% 0.16/0.34 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl0_1),
% 0.16/0.34 inference(superposition,[],[f11,f87])).
% 0.16/0.34 thf(f87,plain,(
% 0.16/0.34 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | ~spl0_1),
% 0.16/0.34 inference(avatar_component_clause,[],[f85])).
% 0.16/0.34 thf(f85,plain,(
% 0.16/0.34 spl0_1 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.16/0.34 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.16/0.34 thf(f11,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) != $true)) )),
% 0.16/0.34 inference(cnf_transformation,[],[f10])).
% 0.16/0.34 thf(f10,plain,(
% 0.16/0.34 ! [X0] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) != $true)),
% 0.16/0.34 inference(ennf_transformation,[],[f7])).
% 0.16/0.34 thf(f7,plain,(
% 0.16/0.34 ~? [X0] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) = $true)),
% 0.16/0.34 inference(fool_elimination,[],[f6])).
% 0.16/0.34 thf(f6,plain,(
% 0.16/0.34 ~? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.16/0.34 inference(rectify,[],[f3])).
% 0.16/0.34 thf(f3,negated_conjecture,(
% 0.16/0.34 ~? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.16/0.34 inference(negated_conjecture,[],[f2])).
% 0.16/0.34 thf(f2,conjecture,(
% 0.16/0.34 ? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.16/0.34 thf(f130,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | ~spl0_1),
% 0.16/0.34 inference(superposition,[],[f124,f5])).
% 0.16/0.34 thf(f124,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | ~spl0_1),
% 0.16/0.34 inference(boolean_simplification,[],[f123])).
% 0.16/0.34 thf(f123,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | ~spl0_1),
% 0.16/0.34 inference(boolean_simplification,[],[f122])).
% 0.16/0.34 thf(f122,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$false),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | ~spl0_1),
% 0.16/0.34 inference(boolean_simplification,[],[f121])).
% 0.16/0.34 thf(f121,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,$true)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | ~spl0_1),
% 0.16/0.34 inference(forward_demodulation,[],[f12,f87])).
% 0.16/0.34 thf(f12,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))),
% 0.16/0.34 inference(cnf_transformation,[],[f9])).
% 0.16/0.34 thf(f9,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))),
% 0.16/0.34 inference(fool_elimination,[],[f8])).
% 0.16/0.34 thf(f8,plain,(
% 0.16/0.34 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) | vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.16/0.34 inference(rectify,[],[f1])).
% 0.16/0.34 thf(f1,axiom,(
% 0.16/0.34 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) | vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.16/0.34 thf(f149,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != $false)) ) | ~spl0_1),
% 0.16/0.34 inference(trivial_inequality_removal,[],[f147])).
% 0.16/0.34 thf(f147,plain,(
% 0.16/0.34 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != $false)) ) | ~spl0_1),
% 0.16/0.34 inference(constrained_superposition,[],[f11,f141])).
% 0.16/0.34 thf(f141,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ~spl0_1),
% 0.16/0.34 inference(backward_demodulation,[],[f124,f140])).
% 0.16/0.34 thf(f107,plain,(
% 0.16/0.34 ~spl0_2),
% 0.16/0.34 inference(avatar_contradiction_clause,[],[f106])).
% 0.16/0.34 thf(f106,plain,(
% 0.16/0.34 $false | ~spl0_2),
% 0.16/0.34 inference(trivial_inequality_removal,[],[f105])).
% 0.16/0.34 thf(f105,plain,(
% 0.16/0.34 ($true != $true) | ~spl0_2),
% 0.16/0.34 inference(superposition,[],[f92,f97])).
% 0.16/0.34 thf(f97,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl0_2),
% 0.16/0.34 inference(forward_demodulation,[],[f96,f90])).
% 0.16/0.34 thf(f90,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true)) ) | ~spl0_2),
% 0.16/0.34 inference(avatar_component_clause,[],[f89])).
% 0.16/0.34 thf(f89,plain,(
% 0.16/0.34 spl0_2 <=> ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true)),
% 0.16/0.34 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.16/0.34 thf(f96,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))) | ~spl0_2),
% 0.16/0.34 inference(boolean_simplification,[],[f95])).
% 0.16/0.34 thf(f95,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))) | ~spl0_2),
% 0.16/0.34 inference(boolean_simplification,[],[f94])).
% 0.16/0.34 thf(f94,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),$false)))) | ~spl0_2),
% 0.16/0.34 inference(boolean_simplification,[],[f93])).
% 0.16/0.34 thf(f93,plain,(
% 0.16/0.34 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,$true))))) | ~spl0_2),
% 0.16/0.34 inference(backward_demodulation,[],[f12,f90])).
% 0.16/0.34 thf(f92,plain,(
% 0.16/0.34 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl0_2),
% 0.16/0.34 inference(backward_demodulation,[],[f11,f90])).
% 0.16/0.34 thf(f91,plain,(
% 0.16/0.34 spl0_1 | spl0_2),
% 0.16/0.34 inference(avatar_split_clause,[],[f61,f89,f85])).
% 0.16/0.34 thf(f61,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true)) )),
% 0.16/0.34 inference(not_proxy_clausification,[],[f60])).
% 0.16/0.34 thf(f60,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $false)) )),
% 0.16/0.34 inference(binary_proxy_clausification,[],[f58])).
% 0.16/0.34 thf(f58,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true) | ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) )),
% 0.16/0.34 inference(not_proxy_clausification,[],[f52])).
% 0.16/0.34 thf(f52,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) = $true) | ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) )),
% 0.16/0.34 inference(binary_proxy_clausification,[],[f51])).
% 0.16/0.34 thf(f51,plain,(
% 0.16/0.34 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) )),
% 0.16/0.34 inference(trivial_inequality_removal,[],[f50])).
% 0.16/0.34 thf(f50,plain,(
% 0.16/0.34 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) )),
% 0.16/0.34 inference(constrained_superposition,[],[f11,f12])).
% 0.16/0.34 % SZS output end Proof for theBenchmark
% 0.16/0.34 % (28166)------------------------------
% 0.16/0.34 % (28166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (28166)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (28166)Memory used [KB]: 800
% 0.16/0.34 % (28166)Time elapsed: 0.007 s
% 0.16/0.34 % (28166)Instructions burned: 11 (million)
% 0.16/0.34 % (28163)Success in time 0.019 s
%------------------------------------------------------------------------------