TSTP Solution File: CSR141^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR141^1 : 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 : n018.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 05:03:43 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n018.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri May 3 20:23:08 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (16155)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (16156)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % (16161)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36 % (16158)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)
% 0.11/0.36 % (16157)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (16160)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36 % (16158)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.36 % (16159)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % (16159)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.36 % (16162)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)
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % (16158)First to succeed.
% 0.11/0.36 % (16158)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16155"
% 0.11/0.36 % (16158)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% 0.11/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.11/0.36 thf(func_def_0, type, num: $tType).
% 0.11/0.36 thf(func_def_1, type, agent_THFTYPE_IiioI: $i > $i > $o).
% 0.11/0.36 thf(func_def_2, type, connected_THFTYPE_IiioI: $i > $i > $o).
% 0.11/0.36 thf(func_def_3, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.11/0.36 thf(func_def_4, type, instance_THFTYPE_IiioI: $i > $i > $o).
% 0.11/0.36 thf(func_def_9, type, lWhenFn_THFTYPE_IiiI: $i > $i).
% 0.11/0.36 thf(func_def_11, type, orientation_THFTYPE_IiiioI: $i > $i > $i > $o).
% 0.11/0.36 thf(func_def_13, type, vNOT: $o > $o).
% 0.11/0.36 thf(func_def_17, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.11/0.36 thf(func_def_18, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.11/0.36 thf(func_def_19, type, vAND: $o > $o > $o).
% 0.11/0.36 thf(func_def_20, type, vOR: $o > $o > $o).
% 0.11/0.36 thf(func_def_21, type, vIMP: $o > $o > $o).
% 0.11/0.36 thf(func_def_22, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.11/0.36 thf(f130,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f127])).
% 0.11/0.36 thf(f127,plain,(
% 0.11/0.36 ($true != $true)),
% 0.11/0.36 inference(superposition,[],[f124,f34])).
% 0.11/0.36 thf(f34,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) = $true)),
% 0.11/0.36 inference(cnf_transformation,[],[f22])).
% 0.11/0.36 thf(f22,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) = $true)),
% 0.11/0.36 inference(fool_elimination,[],[f21])).
% 0.11/0.36 thf(f21,plain,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i)),
% 0.11/0.36 inference(rectify,[],[f1])).
% 0.11/0.36 thf(f1,axiom,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i)),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.11/0.36 thf(f124,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) != $true)),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f123])).
% 0.11/0.36 thf(f123,plain,(
% 0.11/0.36 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) != $true)),
% 0.11/0.36 inference(forward_demodulation,[],[f122,f33])).
% 0.11/0.36 thf(f33,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i) = $true)),
% 0.11/0.36 inference(cnf_transformation,[],[f20])).
% 0.11/0.36 thf(f20,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i) = $true)),
% 0.11/0.36 inference(fool_elimination,[],[f19])).
% 0.11/0.36 thf(f19,plain,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i)),
% 0.11/0.36 inference(rectify,[],[f2])).
% 0.11/0.36 thf(f2,axiom,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i)),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.11/0.36 thf(f122,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i) != $true)),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f117])).
% 0.11/0.36 thf(f117,plain,(
% 0.11/0.36 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lReiner_THFTYPE_i) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMariaPaola_THFTYPE_i) != $true)),
% 0.11/0.36 inference(superposition,[],[f112,f75])).
% 0.11/0.36 thf(f75,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i) = $true)),
% 0.11/0.36 inference(not_proxy_clausification,[],[f74])).
% 0.11/0.36 thf(f74,plain,(
% 0.11/0.36 (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i)) != $true)),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f71])).
% 0.11/0.36 thf(f71,plain,(
% 0.11/0.36 ($true != $true) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i)) != $true)),
% 0.11/0.36 inference(constrained_superposition,[],[f29,f35])).
% 0.11/0.36 thf(f35,plain,(
% 0.11/0.36 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$true))),
% 0.11/0.36 inference(cnf_transformation,[],[f24])).
% 0.11/0.36 thf(f24,plain,(
% 0.11/0.36 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$true))),
% 0.11/0.36 inference(fool_elimination,[],[f23])).
% 0.11/0.36 thf(f23,plain,(
% 0.11/0.36 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$true)),
% 0.11/0.36 inference(rectify,[],[f4])).
% 0.11/0.36 thf(f4,axiom,(
% 0.11/0.36 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$true)),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.11/0.36 thf(f29,plain,(
% 0.11/0.36 (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i))) != $true)),
% 0.11/0.36 inference(cnf_transformation,[],[f25])).
% 0.11/0.36 thf(f25,plain,(
% 0.11/0.36 (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i))) != $true)),
% 0.11/0.36 inference(flattening,[],[f12])).
% 0.11/0.36 thf(f12,plain,(
% 0.11/0.36 ~(vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i))) = $true)),
% 0.11/0.36 inference(fool_elimination,[],[f11])).
% 0.11/0.36 thf(f11,plain,(
% 0.11/0.36 ~vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i)))),
% 0.11/0.36 inference(rectify,[],[f8])).
% 0.11/0.36 thf(f8,negated_conjecture,(
% 0.11/0.36 ~vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i)))),
% 0.11/0.36 inference(negated_conjecture,[],[f7])).
% 0.11/0.36 thf(f7,conjecture,(
% 0.11/0.36 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,lMariaPaola_THFTYPE_i),lReiner_THFTYPE_i)))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.11/0.36 thf(f112,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0))) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f110])).
% 0.11/0.36 thf(f110,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($false != $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))) )),
% 0.11/0.36 inference(superposition,[],[f99,f92])).
% 0.11/0.36 thf(f92,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f91])).
% 0.11/0.36 thf(f91,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i))) )),
% 0.11/0.36 inference(superposition,[],[f36,f10])).
% 0.11/0.36 thf(f10,plain,(
% 0.11/0.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.11/0.36 introduced(fool_axiom,[])).
% 0.11/0.36 thf(f36,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))) )),
% 0.11/0.36 inference(not_proxy_clausification,[],[f30])).
% 0.11/0.36 thf(f30,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i))) )),
% 0.11/0.36 inference(cnf_transformation,[],[f26])).
% 0.11/0.36 thf(f26,plain,(
% 0.11/0.36 ! [X0,X1] : (($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i)))),
% 0.11/0.36 inference(ennf_transformation,[],[f14])).
% 0.11/0.36 thf(f14,plain,(
% 0.11/0.36 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i)) => ($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1))))),
% 0.11/0.36 inference(fool_elimination,[],[f13])).
% 0.11/0.36 thf(f13,plain,(
% 0.11/0.36 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i) => vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X0),X1)))),
% 0.11/0.36 inference(rectify,[],[f6])).
% 0.11/0.36 thf(f6,axiom,(
% 0.11/0.36 ! [X3,X4] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X3),X4),lNear_THFTYPE_i) => vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),connected_THFTYPE_IiioI,X3),X4)))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.11/0.36 thf(f99,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1))) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f98])).
% 0.11/0.36 thf(f98,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0)) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i))) )),
% 0.11/0.36 inference(forward_demodulation,[],[f97,f32])).
% 0.11/0.36 thf(f32,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i) = $true)),
% 0.11/0.36 inference(cnf_transformation,[],[f18])).
% 0.11/0.36 thf(f18,plain,(
% 0.11/0.36 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i) = $true)),
% 0.11/0.36 inference(fool_elimination,[],[f17])).
% 0.11/0.36 thf(f17,plain,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i)),
% 0.11/0.36 inference(rectify,[],[f3])).
% 0.11/0.36 thf(f3,axiom,(
% 0.11/0.36 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i)),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.11/0.36 thf(f97,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i) != $true) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i))) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f94])).
% 0.11/0.36 thf(f94,plain,(
% 0.11/0.36 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lCADE_BM_THFTYPE_i),lMeeting_THFTYPE_i) != $true) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X0),X1),lNear_THFTYPE_i))) )),
% 0.11/0.36 inference(constrained_superposition,[],[f31,f82])).
% 0.11/0.36 thf(f82,plain,(
% 0.11/0.36 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$false))),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f81])).
% 0.11/0.36 thf(f81,plain,(
% 0.11/0.36 ($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$false))),
% 0.11/0.36 inference(superposition,[],[f79,f10])).
% 0.11/0.36 thf(f79,plain,(
% 0.11/0.36 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),$false))),
% 0.11/0.36 inference(boolean_simplification,[],[f78])).
% 0.11/0.36 thf(f78,plain,(
% 0.11/0.36 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,lCADE_BM_THFTYPE_i)),vAPP($o,$o,vNOT,$true)))),
% 0.11/0.36 inference(backward_demodulation,[],[f29,f75])).
% 0.11/0.36 thf(f31,plain,(
% 0.11/0.36 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i) != $true)) )),
% 0.11/0.36 inference(cnf_transformation,[],[f28])).
% 0.11/0.36 thf(f28,plain,(
% 0.11/0.36 ! [X0,X1,X2] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i) != $true))),
% 0.11/0.36 inference(flattening,[],[f27])).
% 0.11/0.36 thf(f27,plain,(
% 0.11/0.36 ! [X0,X1,X2] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)) = $true) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i) != $true)))),
% 0.11/0.36 inference(ennf_transformation,[],[f16])).
% 0.11/0.36 thf(f16,plain,(
% 0.11/0.36 ! [X0,X1,X2] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i) = $true)) => (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)) = $true))),
% 0.11/0.36 inference(fool_elimination,[],[f15])).
% 0.11/0.36 thf(f15,plain,(
% 0.11/0.36 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i)) => vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)))),
% 0.11/0.36 inference(rectify,[],[f5])).
% 0.11/0.36 thf(f5,axiom,(
% 0.11/0.36 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),agent_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMeeting_THFTYPE_i)) => vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),orientation_THFTYPE_IiiioI,X2),X1),lNear_THFTYPE_i)))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 0.11/0.36 % SZS output end Proof for theBenchmark
% 0.11/0.36 % (16158)------------------------------
% 0.11/0.36 % (16158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.36 % (16158)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (16158)Memory used [KB]: 789
% 0.11/0.36 % (16158)Time elapsed: 0.007 s
% 0.11/0.36 % (16158)Instructions burned: 12 (million)
% 0.11/0.36 % (16155)Success in time 0.019 s
%------------------------------------------------------------------------------