TSTP Solution File: CSR129^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR129^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Sun May 5 05:03:40 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR129^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:22:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28171)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28174)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28173)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28175)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28172)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28174)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28176)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28177)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (28178)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (28178)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level% Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.40 % (28179)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.41 % (28180)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.41 % (28181)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.41 % (28179)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (28177)First to succeed.
% 0.20/0.41 % Exception at run slice level
% 0.20/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.41 % (28177)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28171"
% 0.20/0.41 % (28180)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (28177)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% 0.20/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.41 thf(func_def_0, type, num: $tType).
% 0.20/0.41 thf(func_def_3, type, domain_THFTYPE_IIiiIiioI: ($i > $i) > $i > $i > $o).
% 0.20/0.41 thf(func_def_4, type, domain_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o).
% 0.20/0.41 thf(func_def_5, type, domain_THFTYPE_IiiioI: $i > $i > $i > $o).
% 0.20/0.41 thf(func_def_7, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.20/0.41 thf(func_def_8, type, instance_THFTYPE_IIiiIioI: ($i > $i) > $i > $o).
% 0.20/0.41 thf(func_def_9, type, instance_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o).
% 0.20/0.41 thf(func_def_10, type, instance_THFTYPE_IIiooIioI: ($i > $o > $o) > $i > $o).
% 0.20/0.41 thf(func_def_11, type, instance_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_14, type, lBeginFn_THFTYPE_IiiI: $i > $i).
% 0.20/0.41 thf(func_def_19, type, lEndFn_THFTYPE_IiiI: $i > $i).
% 0.20/0.41 thf(func_def_29, type, lWhenFn_THFTYPE_IiiI: $i > $i).
% 0.20/0.41 thf(func_def_31, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 0.20/0.41 thf(func_def_32, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_33, type, located_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_34, type, meetsTemporally_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_38, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_39, type, part_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_41, type, range_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_42, type, subProcess_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_43, type, subclass_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_44, type, subrelation_THFTYPE_IIioIIioIoI: ($i > $o) > ($i > $o) > $o).
% 0.20/0.41 thf(func_def_45, type, subrelation_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_46, type, temporalPart_THFTYPE_IiioI: $i > $i > $o).
% 0.20/0.41 thf(func_def_48, type, vNOT: $o > $o).
% 0.20/0.41 thf(func_def_51, type, vAND: $o > $o > $o).
% 0.20/0.41 thf(func_def_52, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.20/0.41 thf(func_def_53, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.20/0.41 thf(func_def_54, type, vOR: $o > $o > $o).
% 0.20/0.41 thf(func_def_55, type, vIMP: $o > $o > $o).
% 0.20/0.41 thf(func_def_56, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.20/0.41 thf(f583,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f582])).
% 0.20/0.41 thf(f582,plain,(
% 0.20/0.41 ($true = $false)),
% 0.20/0.41 inference(backward_demodulation,[],[f405,f578])).
% 0.20/0.41 thf(f578,plain,(
% 0.20/0.41 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f577])).
% 0.20/0.41 thf(f577,plain,(
% 0.20/0.41 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.20/0.41 inference(duplicate_literal_removal,[],[f563])).
% 0.20/0.41 thf(f563,plain,(
% 0.20/0.41 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.20/0.41 inference(superposition,[],[f351,f490])).
% 0.20/0.41 thf(f490,plain,(
% 0.20/0.41 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f469])).
% 0.20/0.41 thf(f469,plain,(
% 0.20/0.41 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.20/0.41 inference(superposition,[],[f461,f283])).
% 0.20/0.41 thf(f283,plain,(
% 0.20/0.41 (vAPP($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)) = $true)),
% 0.20/0.41 inference(cnf_transformation,[],[f186])).
% 0.20/0.41 thf(f186,plain,(
% 0.20/0.41 (vAPP($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)) = $true)),
% 0.20/0.41 inference(fool_elimination,[],[f185])).
% 0.20/0.41 thf(f185,plain,(
% 0.20/0.41 vAPP($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,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))),
% 0.20/0.41 inference(rectify,[],[f4])).
% 0.20/0.41 thf(f4,axiom,(
% 0.20/0.41 vAPP($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))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.20/0.41 thf(f461,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($true = X0)) )),
% 0.20/0.41 inference(not_proxy_clausification,[],[f460])).
% 0.20/0.41 thf(f460,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = vAPP($o,$o,vNOT,X0))) )),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f418])).
% 0.20/0.41 thf(f418,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = vAPP($o,$o,vNOT,X0))) )),
% 0.20/0.41 inference(superposition,[],[f291,f416])).
% 0.20/0.41 thf(f416,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0)) )),
% 0.20/0.41 inference(duplicate_literal_removal,[],[f414])).
% 0.20/0.41 thf(f414,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0) | ($false = X0)) )),
% 0.20/0.41 inference(binary_proxy_clausification,[],[f413])).
% 0.20/0.41 thf(f413,plain,(
% 0.20/0.41 ( ! [X0 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0) = X0) | ($false = X0)) )),
% 0.20/0.41 inference(superposition,[],[f410,f68])).
% 0.20/0.41 thf(f68,plain,(
% 0.20/0.41 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.41 introduced(fool_axiom,[])).
% 0.20/0.41 thf(f410,plain,(
% 0.20/0.41 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true))),
% 0.20/0.41 inference(backward_demodulation,[],[f284,f405])).
% 0.20/0.41 thf(f284,plain,(
% 0.20/0.41 (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)) = $true)),
% 0.20/0.41 inference(cnf_transformation,[],[f188])).
% 0.20/0.41 thf(f188,plain,(
% 0.20/0.41 (vAPP($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)) = $true)),
% 0.20/0.41 inference(fool_elimination,[],[f187])).
% 0.20/0.41 thf(f187,plain,(
% 0.20/0.41 vAPP($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,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),
% 0.20/0.41 inference(rectify,[],[f7])).
% 0.20/0.41 thf(f7,axiom,(
% 0.20/0.41 vAPP($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))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006)).
% 0.20/0.41 thf(f291,plain,(
% 0.20/0.41 ( ! [X0 : $i,X1 : $o] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) )),
% 0.20/0.41 inference(not_proxy_clausification,[],[f231])).
% 0.20/0.41 thf(f231,plain,(
% 0.20/0.41 ( ! [X0 : $i,X1 : $o] : (($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)))) )),
% 0.20/0.41 inference(cnf_transformation,[],[f207])).
% 0.20/0.41 thf(f207,plain,(
% 0.20/0.41 ! [X0,X1 : $o] : (($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))))),
% 0.20/0.41 inference(ennf_transformation,[],[f84])).
% 0.20/0.41 thf(f84,plain,(
% 0.20/0.41 ! [X0,X1 : $o] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))) => ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))))),
% 0.20/0.41 inference(fool_elimination,[],[f83])).
% 0.20/0.41 thf(f83,plain,(
% 0.20/0.41 ! [X0,X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)) => vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)))),
% 0.20/0.41 inference(rectify,[],[f12])).
% 0.20/0.41 thf(f12,axiom,(
% 0.20/0.41 ! [X12,X13 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X12),vAPP($o,$o,vNOT,X13)) => vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X12),X13)))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_011)).
% 0.20/0.41 thf(f351,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i))) )),
% 0.20/0.41 inference(binary_proxy_clausification,[],[f350])).
% 0.20/0.41 thf(f350,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i)))) )),
% 0.20/0.41 inference(binary_proxy_clausification,[],[f348])).
% 0.20/0.41 thf(f348,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i)))) )),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f345])).
% 0.20/0.41 thf(f345,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i)))) )),
% 0.20/0.41 inference(constrained_superposition,[],[f223,f284])).
% 0.20/0.41 thf(f223,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i))))) )),
% 0.20/0.41 inference(cnf_transformation,[],[f198])).
% 0.20/0.41 thf(f198,plain,(
% 0.20/0.41 ! [X0 : $i > $i > $o] : ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.20/0.41 inference(ennf_transformation,[],[f70])).
% 0.20/0.41 thf(f70,plain,(
% 0.20/0.41 ~? [X0 : $i > $i > $o] : ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.20/0.41 inference(fool_elimination,[],[f69])).
% 0.20/0.41 thf(f69,plain,(
% 0.20/0.41 ~? [X0 : $i > $i > $o] : vAPP($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,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i))),
% 0.20/0.41 inference(rectify,[],[f66])).
% 0.20/0.41 thf(f66,negated_conjecture,(
% 0.20/0.41 ~? [X30 : $i > $i > $o] : vAPP($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,$o),X30,lMary_THFTYPE_i),lBill_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),X30,lSue_THFTYPE_i),lBill_THFTYPE_i))),
% 0.20/0.41 inference(negated_conjecture,[],[f65])).
% 0.20/0.41 thf(f65,conjecture,(
% 0.20/0.41 ? [X30 : $i > $i > $o] : vAPP($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,$o),X30,lMary_THFTYPE_i),lBill_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),X30,lSue_THFTYPE_i),lBill_THFTYPE_i))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.41 thf(f405,plain,(
% 0.20/0.41 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.20/0.41 inference(trivial_inequality_removal,[],[f402])).
% 0.20/0.41 thf(f402,plain,(
% 0.20/0.41 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.20/0.41 inference(equality_factoring,[],[f352])).
% 0.20/0.41 thf(f352,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i))) )),
% 0.20/0.41 inference(binary_proxy_clausification,[],[f349])).
% 0.20/0.41 thf(f349,plain,(
% 0.20/0.41 ( ! [X0 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | ($true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lSue_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,lMary_THFTYPE_i),lBill_THFTYPE_i)))) )),
% 0.20/0.41 inference(binary_proxy_clausification,[],[f348])).
% 0.20/0.41 % SZS output end Proof for theBenchmark
% 0.20/0.41 % (28177)------------------------------
% 0.20/0.41 % (28177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (28177)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (28177)Memory used [KB]: 1084
% 0.20/0.41 % (28177)Time elapsed: 0.025 s
% 0.20/0.41 % (28177)Instructions burned: 46 (million)
% 0.20/0.41 % (28171)Success in time 0.052 s
%------------------------------------------------------------------------------