TSTP Solution File: SYO159^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO159^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Tue May 21 09:10:27 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO159^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 08:50:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (8554)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8558)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (8557)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (8559)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)
% 0.15/0.38 % (8561)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (8560)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (8562)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (8563)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)
% 0.15/0.39 % (8559)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (8560)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level% Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (8559)First to succeed.
% 0.15/0.39 % (8562)Also succeeded, but the first one will report.
% 0.15/0.39 % (8561)Also succeeded, but the first one will report.
% 0.15/0.39 % (8559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8554"
% 0.15/0.39 % (8559)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% 0.15/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.39 thf(func_def_0, type, cC: $i > $o).
% 0.15/0.39 thf(func_def_1, type, cB: $i > $i > $o).
% 0.15/0.39 thf(func_def_2, type, cA: $i > $o).
% 0.15/0.39 thf(func_def_6, type, sK0: $i > $i).
% 0.15/0.39 thf(func_def_9, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.39 thf(func_def_10, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.39 thf(func_def_11, type, vAND: $o > $o > $o).
% 0.15/0.39 thf(func_def_12, type, vOR: $o > $o > $o).
% 0.15/0.39 thf(func_def_13, type, vIMP: $o > $o > $o).
% 0.15/0.39 thf(func_def_14, type, vNOT: $o > $o).
% 0.15/0.39 thf(func_def_15, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.39 thf(f70,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f67])).
% 0.15/0.39 thf(f67,plain,(
% 0.15/0.39 ($true != $true)),
% 0.15/0.39 inference(superposition,[],[f66,f13])).
% 0.15/0.39 thf(f13,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.39 inference(cnf_transformation,[],[f12])).
% 0.15/0.39 thf(f12,plain,(
% 0.15/0.39 ! [X0] : ((($true = vAPP($i,$o,cC,vAPP($i,$i,sK0,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),vAPP($i,$i,sK0,X0)))) | (vAPP($i,$o,cA,X0) != $true)) & (! [X3] : ((vAPP($i,$o,cC,X3) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,sK1),X3))) & ($true = vAPP($i,$o,cA,sK1)))),
% 0.15/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.15/0.39 thf(f10,plain,(
% 0.15/0.39 ! [X0] : (? [X1] : ((vAPP($i,$o,cC,X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1) = $true)) => (($true = vAPP($i,$o,cC,vAPP($i,$i,sK0,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),vAPP($i,$i,sK0,X0)))))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f11,plain,(
% 0.15/0.39 ? [X2] : (! [X3] : ((vAPP($i,$o,cC,X3) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) != $true)) & (vAPP($i,$o,cA,X2) = $true)) => (! [X3] : ((vAPP($i,$o,cC,X3) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,sK1),X3))) & ($true = vAPP($i,$o,cA,sK1)))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f9,plain,(
% 0.15/0.39 ! [X0] : (? [X1] : ((vAPP($i,$o,cC,X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1) = $true)) | (vAPP($i,$o,cA,X0) != $true)) & ? [X2] : (! [X3] : ((vAPP($i,$o,cC,X3) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) != $true)) & (vAPP($i,$o,cA,X2) = $true))),
% 0.15/0.39 inference(rectify,[],[f8])).
% 0.15/0.39 thf(f8,plain,(
% 0.15/0.39 ! [X2] : (? [X3] : ((vAPP($i,$o,cC,X3) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) = $true)) | (vAPP($i,$o,cA,X2) != $true)) & ? [X0] : (! [X1] : ((vAPP($i,$o,cC,X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1) != $true)) & (vAPP($i,$o,cA,X0) = $true))),
% 0.15/0.39 inference(ennf_transformation,[],[f7])).
% 0.15/0.39 thf(f7,plain,(
% 0.15/0.39 ~(~! [X0] : ((vAPP($i,$o,cA,X0) = $true) => ? [X1] : ((vAPP($i,$o,cC,X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1) = $true))) => ? [X2] : (~? [X3] : ~((vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) = $true) => (vAPP($i,$o,cC,X3) != $true)) & (vAPP($i,$o,cA,X2) = $true)))),
% 0.15/0.39 inference(flattening,[],[f6])).
% 0.15/0.39 thf(f6,plain,(
% 0.15/0.39 ~(~! [X0] : ((vAPP($i,$o,cA,X0) = $true) => ? [X1] : ((vAPP($i,$o,cC,X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1) = $true))) => ? [X2] : (~? [X3] : ~((vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) = $true) => ~(vAPP($i,$o,cC,X3) = $true)) & (vAPP($i,$o,cA,X2) = $true)))),
% 0.15/0.39 inference(fool_elimination,[],[f5])).
% 0.15/0.39 thf(f5,plain,(
% 0.15/0.39 ~(~! [X0] : (vAPP($i,$o,cA,X0) => ? [X1] : (vAPP($i,$o,cC,X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1))) => ? [X2] : (~? [X3] : ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) => ~vAPP($i,$o,cC,X3)) & vAPP($i,$o,cA,X2)))),
% 0.15/0.39 inference(rectify,[],[f2])).
% 0.15/0.39 thf(f2,negated_conjecture,(
% 0.15/0.39 ~(~! [X0] : (vAPP($i,$o,cA,X0) => ? [X1] : (vAPP($i,$o,cC,X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1))) => ? [X2] : (~? [X3] : ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) => ~vAPP($i,$o,cC,X3)) & vAPP($i,$o,cA,X2)))),
% 0.15/0.39 inference(negated_conjecture,[],[f1])).
% 0.15/0.39 thf(f1,conjecture,(
% 0.15/0.39 ~! [X0] : (vAPP($i,$o,cA,X0) => ? [X1] : (vAPP($i,$o,cC,X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),X1))) => ? [X2] : (~? [X3] : ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X2),X3) => ~vAPP($i,$o,cC,X3)) & vAPP($i,$o,cA,X2))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNNF_EXAMPLE)).
% 0.15/0.39 thf(f66,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cA,sK1))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f63])).
% 0.15/0.39 thf(f63,plain,(
% 0.15/0.39 ($true != $true) | ($true != vAPP($i,$o,cA,sK1))),
% 0.15/0.39 inference(superposition,[],[f62,f16])).
% 0.15/0.39 thf(f16,plain,(
% 0.15/0.39 ( ! [X0 : $i] : (($true = vAPP($i,$o,cC,vAPP($i,$i,sK0,X0))) | (vAPP($i,$o,cA,X0) != $true)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f12])).
% 0.15/0.39 thf(f62,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cC,vAPP($i,$i,sK0,sK1)))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f61])).
% 0.15/0.39 thf(f61,plain,(
% 0.15/0.39 ($true != $true) | ($true != vAPP($i,$o,cC,vAPP($i,$i,sK0,sK1)))),
% 0.15/0.39 inference(forward_demodulation,[],[f54,f13])).
% 0.15/0.39 thf(f54,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cC,vAPP($i,$i,sK0,sK1))) | ($true != vAPP($i,$o,cA,sK1))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f53])).
% 0.15/0.39 thf(f53,plain,(
% 0.15/0.39 ($true != $true) | ($true != vAPP($i,$o,cC,vAPP($i,$i,sK0,sK1))) | ($true != vAPP($i,$o,cA,sK1))),
% 0.15/0.39 inference(superposition,[],[f14,f15])).
% 0.15/0.39 thf(f15,plain,(
% 0.15/0.39 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,X0),vAPP($i,$i,sK0,X0))) | (vAPP($i,$o,cA,X0) != $true)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f12])).
% 0.15/0.39 thf(f14,plain,(
% 0.15/0.39 ( ! [X3 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cB,sK1),X3)) | (vAPP($i,$o,cC,X3) != $true)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f12])).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (8559)------------------------------
% 0.15/0.39 % (8559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (8559)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (8559)Memory used [KB]: 761
% 0.15/0.39 % (8559)Time elapsed: 0.009 s
% 0.15/0.39 % (8559)Instructions burned: 6 (million)
% 0.15/0.39 % (8554)Success in time 0.034 s
%------------------------------------------------------------------------------