TSTP Solution File: SYN374^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN374^5 : 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 : n009.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 08:35:17 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN374^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 13:54:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2765)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (2766)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (2769)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (2770)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (2769)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level% Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (2772)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)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (2771)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (2767)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (2770)First to succeed.
% 0.13/0.38 % (2771)Also succeeded, but the first one will report.
% 0.13/0.38 % (2770)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2765"
% 0.13/0.38 % (2770)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.38 thf(func_def_0, type, cP: $i > $o).
% 0.13/0.38 thf(func_def_4, type, sP0: $o).
% 0.13/0.38 thf(func_def_9, type, sK5: $i > $i).
% 0.13/0.38 thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.38 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.38 thf(func_def_13, type, vAND: $o > $o > $o).
% 0.13/0.38 thf(func_def_14, type, vOR: $o > $o > $o).
% 0.13/0.38 thf(func_def_15, type, vIMP: $o > $o > $o).
% 0.13/0.38 thf(func_def_16, type, vNOT: $o > $o).
% 0.13/0.38 thf(func_def_17, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.38 thf(f362,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f361])).
% 0.13/0.38 thf(f361,plain,(
% 0.13/0.38 ($true = $false)),
% 0.13/0.38 inference(forward_demodulation,[],[f360,f304])).
% 0.13/0.38 thf(f304,plain,(
% 0.13/0.38 ($false = sP0)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f303])).
% 0.13/0.38 thf(f303,plain,(
% 0.13/0.38 ($true = $false) | ($false = sP0)),
% 0.13/0.38 inference(duplicate_literal_removal,[],[f297])).
% 0.13/0.38 thf(f297,plain,(
% 0.13/0.38 ($true = $false) | ($false = sP0) | ($false = sP0)),
% 0.13/0.38 inference(superposition,[],[f230,f270])).
% 0.13/0.38 thf(f270,plain,(
% 0.13/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) = $false) | ($false = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f269])).
% 0.13/0.38 thf(f269,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,cP,X0) = $false) | ($false = sP0)) )),
% 0.13/0.38 inference(duplicate_literal_removal,[],[f268])).
% 0.13/0.38 thf(f268,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,cP,X0) = $false) | ($false = sP0) | ($false = sP0)) )),
% 0.13/0.38 inference(superposition,[],[f125,f230])).
% 0.13/0.38 thf(f125,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($false = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0))) | (vAPP($i,$o,cP,X0) = $false) | ($false = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f124])).
% 0.13/0.38 thf(f124,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $false) | ($false = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0))) | ($false = sP0)) )),
% 0.13/0.38 inference(superposition,[],[f31,f4])).
% 0.13/0.38 thf(f4,plain,(
% 0.13/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.38 introduced(fool_axiom,[])).
% 0.13/0.38 thf(f31,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != sP0) | (vAPP($i,$o,cP,X0) = $false) | ($false = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0)))) )),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f27])).
% 0.13/0.38 thf(f27,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != sP0) | (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,vAPP($i,$i,sK5,X0)))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f21])).
% 0.13/0.38 thf(f21,plain,(
% 0.13/0.38 (($true != sP0) | ! [X0] : (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,vAPP($i,$i,sK5,X0)))) & (($true = sP0) | ! [X3] : (vAPP($i,$o,cP,X3) = vAPP($i,$o,cP,sK6)))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f18,f20,f19])).
% 0.13/0.38 thf(f19,plain,(
% 0.13/0.38 ! [X0] : (? [X1] : (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,X1)) => (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,vAPP($i,$i,sK5,X0))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f20,plain,(
% 0.13/0.38 ? [X2] : ! [X3] : (vAPP($i,$o,cP,X2) = vAPP($i,$o,cP,X3)) => ! [X3] : (vAPP($i,$o,cP,X3) = vAPP($i,$o,cP,sK6))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f18,plain,(
% 0.13/0.38 (($true != sP0) | ! [X0] : ? [X1] : (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,X1))) & (($true = sP0) | ? [X2] : ! [X3] : (vAPP($i,$o,cP,X2) = vAPP($i,$o,cP,X3)))),
% 0.13/0.38 inference(rectify,[],[f17])).
% 0.13/0.38 thf(f17,plain,(
% 0.13/0.38 (($true != sP0) | ! [X0] : ? [X1] : (vAPP($i,$o,cP,X0) != vAPP($i,$o,cP,X1))) & (($true = sP0) | ? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) = vAPP($i,$o,cP,X1)))),
% 0.13/0.38 inference(nnf_transformation,[],[f9])).
% 0.13/0.38 thf(f9,plain,(
% 0.13/0.38 ? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) = vAPP($i,$o,cP,X1)) <~> ($true = sP0)),
% 0.13/0.38 inference(definition_folding,[],[f7,f8])).
% 0.13/0.38 thf(f8,plain,(
% 0.13/0.38 ($true = sP0) <=> (? [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ! [X3] : ($true = vAPP($i,$o,cP,X3)))),
% 0.13/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.13/0.38 thf(f7,plain,(
% 0.13/0.38 ? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) = vAPP($i,$o,cP,X1)) <~> (? [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ! [X3] : ($true = vAPP($i,$o,cP,X3)))),
% 0.13/0.38 inference(ennf_transformation,[],[f6])).
% 0.13/0.38 thf(f6,plain,(
% 0.13/0.38 ~(? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) = vAPP($i,$o,cP,X1)) <=> (? [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ! [X3] : ($true = vAPP($i,$o,cP,X3))))),
% 0.13/0.38 inference(fool_elimination,[],[f5])).
% 0.13/0.38 thf(f5,plain,(
% 0.13/0.38 ~(? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) <=> vAPP($i,$o,cP,X1)) <=> (? [X2] : vAPP($i,$o,cP,X2) <=> ! [X3] : vAPP($i,$o,cP,X3)))),
% 0.13/0.38 inference(rectify,[],[f2])).
% 0.13/0.38 thf(f2,negated_conjecture,(
% 0.13/0.38 ~(? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) <=> vAPP($i,$o,cP,X1)) <=> (? [X0] : vAPP($i,$o,cP,X0) <=> ! [X1] : vAPP($i,$o,cP,X1)))),
% 0.13/0.38 inference(negated_conjecture,[],[f1])).
% 0.13/0.38 thf(f1,conjecture,(
% 0.13/0.38 ? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) <=> vAPP($i,$o,cP,X1)) <=> (? [X0] : vAPP($i,$o,cP,X0) <=> ! [X1] : vAPP($i,$o,cP,X1))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2125)).
% 0.13/0.38 thf(f230,plain,(
% 0.13/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f229])).
% 0.13/0.38 thf(f229,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(equality_factoring,[],[f161])).
% 0.13/0.38 thf(f161,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(subsumption_resolution,[],[f160,f4])).
% 0.13/0.38 thf(f160,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cP,X1) = $true) | ($true != sP0) | (vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f157])).
% 0.13/0.38 thf(f157,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,cP,X1) = $true) | ($true != sP0) | (vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(superposition,[],[f22,f123])).
% 0.13/0.38 thf(f123,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0))) | (vAPP($i,$o,cP,X0) = $true) | ($false = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f122])).
% 0.13/0.38 thf(f122,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $true) | ($true = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0))) | ($false = sP0)) )),
% 0.13/0.38 inference(superposition,[],[f30,f4])).
% 0.13/0.38 thf(f30,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != sP0) | (vAPP($i,$o,cP,X0) = $true) | ($true = vAPP($i,$o,cP,vAPP($i,$i,sK5,X0)))) )),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f27])).
% 0.13/0.38 thf(f22,plain,(
% 0.13/0.38 ( ! [X6 : $i,X7 : $i] : (($true != vAPP($i,$o,cP,X7)) | ($true = vAPP($i,$o,cP,X6)) | ($true != sP0)) )),
% 0.13/0.38 inference(cnf_transformation,[],[f16])).
% 0.13/0.38 thf(f16,plain,(
% 0.13/0.38 (($true = sP0) | ((($true != vAPP($i,$o,cP,sK1)) | ! [X1] : (vAPP($i,$o,cP,X1) != $true)) & (! [X2] : ($true = vAPP($i,$o,cP,X2)) | ($true = vAPP($i,$o,cP,sK2))))) & (((($true = vAPP($i,$o,cP,sK3)) | ($true != vAPP($i,$o,cP,sK4))) & (! [X6] : ($true = vAPP($i,$o,cP,X6)) | ! [X7] : ($true != vAPP($i,$o,cP,X7)))) | ($true != sP0))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f11,f15,f14,f13,f12])).
% 0.13/0.38 thf(f12,plain,(
% 0.13/0.38 ? [X0] : (vAPP($i,$o,cP,X0) != $true) => ($true != vAPP($i,$o,cP,sK1))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f13,plain,(
% 0.13/0.38 ? [X3] : ($true = vAPP($i,$o,cP,X3)) => ($true = vAPP($i,$o,cP,sK2))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f14,plain,(
% 0.13/0.38 ? [X4] : ($true = vAPP($i,$o,cP,X4)) => ($true = vAPP($i,$o,cP,sK3))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f15,plain,(
% 0.13/0.38 ? [X5] : ($true != vAPP($i,$o,cP,X5)) => ($true != vAPP($i,$o,cP,sK4))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f11,plain,(
% 0.13/0.38 (($true = sP0) | ((? [X0] : (vAPP($i,$o,cP,X0) != $true) | ! [X1] : (vAPP($i,$o,cP,X1) != $true)) & (! [X2] : ($true = vAPP($i,$o,cP,X2)) | ? [X3] : ($true = vAPP($i,$o,cP,X3))))) & (((? [X4] : ($true = vAPP($i,$o,cP,X4)) | ? [X5] : ($true != vAPP($i,$o,cP,X5))) & (! [X6] : ($true = vAPP($i,$o,cP,X6)) | ! [X7] : ($true != vAPP($i,$o,cP,X7)))) | ($true != sP0))),
% 0.13/0.38 inference(rectify,[],[f10])).
% 0.13/0.38 thf(f10,plain,(
% 0.13/0.38 (($true = sP0) | ((? [X3] : ($true != vAPP($i,$o,cP,X3)) | ! [X2] : ($true != vAPP($i,$o,cP,X2))) & (! [X3] : ($true = vAPP($i,$o,cP,X3)) | ? [X2] : ($true = vAPP($i,$o,cP,X2))))) & (((? [X2] : ($true = vAPP($i,$o,cP,X2)) | ? [X3] : ($true != vAPP($i,$o,cP,X3))) & (! [X3] : ($true = vAPP($i,$o,cP,X3)) | ! [X2] : ($true != vAPP($i,$o,cP,X2)))) | ($true != sP0))),
% 0.13/0.38 inference(nnf_transformation,[],[f8])).
% 0.13/0.38 thf(f360,plain,(
% 0.13/0.38 ($true = sP0)),
% 0.13/0.38 inference(subsumption_resolution,[],[f359,f353])).
% 0.13/0.38 thf(f353,plain,(
% 0.13/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) = $true)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f352])).
% 0.13/0.38 thf(f352,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,cP,X0) = $true)) )),
% 0.13/0.38 inference(superposition,[],[f162,f345])).
% 0.13/0.38 thf(f345,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,cP,sK2))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f344])).
% 0.13/0.38 thf(f344,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,cP,sK2))),
% 0.13/0.38 inference(equality_factoring,[],[f338])).
% 0.13/0.38 thf(f338,plain,(
% 0.13/0.38 ( ! [X2 : $i] : (($true = vAPP($i,$o,cP,X2)) | ($true = vAPP($i,$o,cP,sK2))) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f337])).
% 0.13/0.38 thf(f337,plain,(
% 0.13/0.38 ( ! [X2 : $i] : (($true = $false) | ($true = vAPP($i,$o,cP,X2)) | ($true = vAPP($i,$o,cP,sK2))) )),
% 0.13/0.38 inference(forward_demodulation,[],[f24,f304])).
% 0.13/0.38 thf(f24,plain,(
% 0.13/0.38 ( ! [X2 : $i] : (($true = sP0) | ($true = vAPP($i,$o,cP,X2)) | ($true = vAPP($i,$o,cP,sK2))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f16])).
% 0.13/0.38 thf(f162,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) = $false)) )),
% 0.13/0.38 inference(subsumption_resolution,[],[f159,f78])).
% 0.13/0.38 thf(f78,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cP,X0) = $true) | (vAPP($i,$o,cP,X1) = $false) | ($true = sP0)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f77])).
% 0.13/0.38 thf(f77,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : (($true = $false) | (vAPP($i,$o,cP,X0) = $true) | ($true = sP0) | (vAPP($i,$o,cP,X1) = $false)) )),
% 0.13/0.38 inference(duplicate_literal_removal,[],[f74])).
% 0.13/0.38 thf(f74,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : (($true = $false) | (vAPP($i,$o,cP,X0) = $true) | ($true = sP0) | (vAPP($i,$o,cP,X1) = $false) | ($true = sP0)) )),
% 0.13/0.38 inference(superposition,[],[f28,f29])).
% 0.13/0.38 thf(f29,plain,(
% 0.13/0.38 ( ! [X3 : $i] : (($false = vAPP($i,$o,cP,X3)) | ($true = vAPP($i,$o,cP,sK6)) | ($true = sP0)) )),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f26])).
% 0.13/0.38 thf(f26,plain,(
% 0.13/0.38 ( ! [X3 : $i] : (($true = sP0) | (vAPP($i,$o,cP,X3) = vAPP($i,$o,cP,sK6))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f21])).
% 0.13/0.38 thf(f28,plain,(
% 0.13/0.38 ( ! [X3 : $i] : (($true = vAPP($i,$o,cP,X3)) | ($false = vAPP($i,$o,cP,sK6)) | ($true = sP0)) )),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f26])).
% 0.13/0.38 thf(f159,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cP,X1) = $true) | ($true != sP0) | (vAPP($i,$o,cP,X0) = $false)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f158])).
% 0.13/0.38 thf(f158,plain,(
% 0.13/0.38 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,cP,X1) = $true) | ($true != sP0) | (vAPP($i,$o,cP,X0) = $false)) )),
% 0.13/0.38 inference(superposition,[],[f22,f4])).
% 0.13/0.38 thf(f359,plain,(
% 0.13/0.38 ( ! [X1 : $i] : (($true = sP0) | (vAPP($i,$o,cP,X1) != $true)) )),
% 0.13/0.38 inference(subsumption_resolution,[],[f25,f353])).
% 0.13/0.38 thf(f25,plain,(
% 0.13/0.38 ( ! [X1 : $i] : (($true = sP0) | ($true != vAPP($i,$o,cP,sK1)) | (vAPP($i,$o,cP,X1) != $true)) )),
% 0.13/0.38 inference(cnf_transformation,[],[f16])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (2770)------------------------------
% 0.13/0.38 % (2770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (2770)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (2770)Memory used [KB]: 776
% 0.13/0.38 % (2770)Time elapsed: 0.011 s
% 0.13/0.38 % (2770)Instructions burned: 16 (million)
% 0.13/0.38 % (2765)Success in time 0.013 s
%------------------------------------------------------------------------------