TSTP Solution File: NUM802^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM802^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 08:42:26 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM802^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:04:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26180)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (26184)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (26183)WARNING: value z3 for option sas not known
% 0.21/0.37 % (26182)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (26183)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)
% 0.21/0.38 % (26186)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)
% 0.21/0.38 % (26185)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)
% 0.21/0.38 % (26181)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (26187)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)
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (26187)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (26187)First to succeed.
% 0.21/0.38 % (26186)Also succeeded, but the first one will report.
% 0.21/0.38 % (26187)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26180"
% 0.21/0.38 % (26183)Also succeeded, but the first one will report.
% 0.21/0.38 % (26185)Also succeeded, but the first one will report.
% 0.21/0.38 % (26187)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% 0.21/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.38 thf(func_def_1, type, absval: $i > $i).
% 0.21/0.38 thf(func_def_3, type, c_less_: $i > $i > $o).
% 0.21/0.38 thf(func_def_7, type, sK0: ($i > $o) > $i).
% 0.21/0.38 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.38 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.38 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.21/0.38 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.21/0.38 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.21/0.38 thf(func_def_13, type, vNOT: $o > $o).
% 0.21/0.38 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.38 thf(f63,plain,(
% 0.21/0.38 $false),
% 0.21/0.38 inference(subsumption_resolution,[],[f62,f13])).
% 0.21/0.38 thf(f13,plain,(
% 0.21/0.38 (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true)),
% 0.21/0.38 inference(cnf_transformation,[],[f12])).
% 0.21/0.38 thf(f12,plain,(
% 0.21/0.38 ! [X0 : $i > $o] : (($true != vAPP($i,$o,X0,c_2)) | ($true = vAPP($i,$o,X0,vAPP($i,$i,absval,vAPP(sTfun($i,$o),$i,sK0,X0))))) & ! [X2,X3] : ((vAPP($i,$i,absval,X3) != X2) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X2),c0))) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true)),
% 0.21/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11])).
% 0.21/0.38 thf(f11,plain,(
% 0.21/0.38 ! [X0 : $i > $o] : (? [X1] : ($true = vAPP($i,$o,X0,vAPP($i,$i,absval,X1))) => ($true = vAPP($i,$o,X0,vAPP($i,$i,absval,vAPP(sTfun($i,$o),$i,sK0,X0)))))),
% 0.21/0.38 introduced(choice_axiom,[])).
% 0.21/0.38 thf(f10,plain,(
% 0.21/0.38 ! [X0 : $i > $o] : (($true != vAPP($i,$o,X0,c_2)) | ? [X1] : ($true = vAPP($i,$o,X0,vAPP($i,$i,absval,X1)))) & ! [X2,X3] : ((vAPP($i,$i,absval,X3) != X2) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X2),c0))) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true)),
% 0.21/0.38 inference(rectify,[],[f9])).
% 0.21/0.38 thf(f9,plain,(
% 0.21/0.38 ! [X2 : $i > $o] : ((vAPP($i,$o,X2,c_2) != $true) | ? [X3] : (vAPP($i,$o,X2,vAPP($i,$i,absval,X3)) = $true)) & ! [X0,X1] : ((vAPP($i,$i,absval,X1) != X0) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) != $true)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true)),
% 0.21/0.38 inference(flattening,[],[f8])).
% 0.21/0.38 thf(f8,plain,(
% 0.21/0.38 (! [X2 : $i > $o] : ((vAPP($i,$o,X2,c_2) != $true) | ? [X3] : (vAPP($i,$o,X2,vAPP($i,$i,absval,X3)) = $true)) & ! [X0,X1] : ((vAPP($i,$i,absval,X1) != X0) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) != $true))) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true)),
% 0.21/0.38 inference(ennf_transformation,[],[f7])).
% 0.21/0.38 thf(f7,plain,(
% 0.21/0.38 ~((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true) => (! [X0,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) = $true) => (vAPP($i,$i,absval,X1) != X0)) => ? [X2 : $i > $o] : ((vAPP($i,$o,X2,c_2) = $true) & ! [X3] : (vAPP($i,$o,X2,vAPP($i,$i,absval,X3)) != $true))))),
% 0.21/0.38 inference(flattening,[],[f6])).
% 0.21/0.38 thf(f6,plain,(
% 0.21/0.38 ~((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) = $true) => (! [X0,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) = $true) => (vAPP($i,$i,absval,X1) != X0)) => ? [X2 : $i > $o] : ((vAPP($i,$o,X2,c_2) = $true) & ! [X3] : ~(vAPP($i,$o,X2,vAPP($i,$i,absval,X3)) = $true))))),
% 0.21/0.38 inference(fool_elimination,[],[f5])).
% 0.21/0.38 thf(f5,plain,(
% 0.21/0.38 ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) => (! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) => (vAPP($i,$i,absval,X1) != X0)) => ? [X2 : $i > $o] : (vAPP($i,$o,X2,c_2) & ! [X3] : ~vAPP($i,$o,X2,vAPP($i,$i,absval,X3)))))),
% 0.21/0.38 inference(rectify,[],[f2])).
% 0.21/0.38 thf(f2,negated_conjecture,(
% 0.21/0.38 ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) => (! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) => (vAPP($i,$i,absval,X1) != X0)) => ? [X2 : $i > $o] : (vAPP($i,$o,X2,c_2) & ! [X3] : ~vAPP($i,$o,X2,vAPP($i,$i,absval,X3)))))),
% 0.21/0.38 inference(negated_conjecture,[],[f1])).
% 0.21/0.38 thf(f1,conjecture,(
% 0.21/0.38 vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) => (! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),c0) => (vAPP($i,$i,absval,X1) != X0)) => ? [X2 : $i > $o] : (vAPP($i,$o,X2,c_2) & ! [X3] : ~vAPP($i,$o,X2,vAPP($i,$i,absval,X3))))),
% 0.21/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_8)).
% 0.21/0.38 thf(f62,plain,(
% 0.21/0.38 (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c_2),c0) != $true)),
% 0.21/0.38 inference(superposition,[],[f16,f53])).
% 0.21/0.38 thf(f53,plain,(
% 0.21/0.38 (c_2 = vAPP($i,$i,absval,vAPP(sTfun($i,$o),$i,sK0,vAPP($i,sTfun($i,$o),vEQ($i),c_2))))),
% 0.21/0.38 inference(leibniz_equality_elimination,[],[f15])).
% 0.21/0.38 thf(f15,plain,(
% 0.21/0.38 ( ! [X0 : $i > $o] : (($true != vAPP($i,$o,X0,c_2)) | ($true = vAPP($i,$o,X0,vAPP($i,$i,absval,vAPP(sTfun($i,$o),$i,sK0,X0))))) )),
% 0.21/0.38 inference(cnf_transformation,[],[f12])).
% 0.21/0.38 thf(f16,plain,(
% 0.21/0.38 ( ! [X3 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,vAPP($i,$i,absval,X3)),c0))) )),
% 0.21/0.38 inference(equality_resolution,[],[f14])).
% 0.21/0.38 thf(f14,plain,(
% 0.21/0.38 ( ! [X2 : $i,X3 : $i] : ((vAPP($i,$i,absval,X3) != X2) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X2),c0))) )),
% 0.21/0.38 inference(cnf_transformation,[],[f12])).
% 0.21/0.38 % SZS output end Proof for theBenchmark
% 0.21/0.38 % (26187)------------------------------
% 0.21/0.38 % (26187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (26187)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (26187)Memory used [KB]: 768
% 0.21/0.38 % (26187)Time elapsed: 0.005 s
% 0.21/0.38 % (26187)Instructions burned: 6 (million)
% 0.21/0.38 % (26180)Success in time 0.019 s
%------------------------------------------------------------------------------