TSTP Solution File: SEU553^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU553^2 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 04:05:54 EDT 2024
% Result : Theorem 0.16s 0.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SEU553^2 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.16/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38 % Computer : n023.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 19 17:46:08 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.39 % (15365)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (15367)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40 % Exception at run slice level
% 0.16/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40 % (15372)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)
% 0.16/0.40 % (15366)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 % (15372)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.40 % (15368)WARNING: value z3 for option sas not known
% 0.16/0.40 % Exception at run slice level
% 0.16/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40 % (15372)First to succeed.
% 0.16/0.40 % (15372)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15365"
% 0.16/0.40 % (15371)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)
% 0.16/0.40 % (15368)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)
% 0.16/0.41 % (15372)Refutation found. Thanks to Tanya!
% 0.16/0.41 % SZS status Theorem for theBenchmark
% 0.16/0.41 % SZS output start Proof for theBenchmark
% 0.16/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.16/0.41 thf(func_def_0, type, powerset: $i > $i).
% 0.16/0.41 thf(func_def_6, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.16/0.41 thf(func_def_7, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.16/0.41 thf(func_def_8, type, vAND: $o > $o > $o).
% 0.16/0.41 thf(func_def_9, type, vOR: $o > $o > $o).
% 0.16/0.41 thf(func_def_10, type, vIMP: $o > $o > $o).
% 0.16/0.41 thf(func_def_11, type, vNOT: $o > $o).
% 0.16/0.41 thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.16/0.41 thf(f11,plain,(
% 0.16/0.41 $false),
% 0.16/0.41 inference(trivial_inequality_removal,[],[f10])).
% 0.16/0.41 thf(f10,plain,(
% 0.16/0.41 (vAPP($i,$i,powerset,sK0) != vAPP($i,$i,powerset,sK0))),
% 0.16/0.41 inference(forward_demodulation,[],[f9,f8])).
% 0.16/0.41 thf(f8,plain,(
% 0.16/0.41 (sK0 = sK1)),
% 0.16/0.41 inference(cnf_transformation,[],[f7])).
% 0.16/0.41 thf(f7,plain,(
% 0.16/0.41 (vAPP($i,$i,powerset,sK0) != vAPP($i,$i,powerset,sK1)) & (sK0 = sK1)),
% 0.16/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6])).
% 0.16/0.41 thf(f6,plain,(
% 0.16/0.41 ? [X0,X1] : ((vAPP($i,$i,powerset,X0) != vAPP($i,$i,powerset,X1)) & (X0 = X1)) => ((vAPP($i,$i,powerset,sK0) != vAPP($i,$i,powerset,sK1)) & (sK0 = sK1))),
% 0.16/0.41 introduced(choice_axiom,[])).
% 0.16/0.41 thf(f5,plain,(
% 0.16/0.41 ? [X0,X1] : ((vAPP($i,$i,powerset,X0) != vAPP($i,$i,powerset,X1)) & (X0 = X1))),
% 0.16/0.41 inference(ennf_transformation,[],[f2])).
% 0.16/0.41 thf(f2,negated_conjecture,(
% 0.16/0.41 ~! [X0,X1] : ((X0 = X1) => (vAPP($i,$i,powerset,X0) = vAPP($i,$i,powerset,X1)))),
% 0.16/0.41 inference(negated_conjecture,[],[f1])).
% 0.16/0.41 thf(f1,conjecture,(
% 0.16/0.41 ! [X0,X1] : ((X0 = X1) => (vAPP($i,$i,powerset,X0) = vAPP($i,$i,powerset,X1)))),
% 0.16/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powerset__Cong)).
% 0.16/0.41 thf(f9,plain,(
% 0.16/0.41 (vAPP($i,$i,powerset,sK0) != vAPP($i,$i,powerset,sK1))),
% 0.16/0.41 inference(cnf_transformation,[],[f7])).
% 0.16/0.41 % SZS output end Proof for theBenchmark
% 0.16/0.41 % (15372)------------------------------
% 0.16/0.41 % (15372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (15372)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (15372)Memory used [KB]: 749
% 0.16/0.41 % (15372)Time elapsed: 0.003 s
% 0.16/0.41 % (15372)Instructions burned: 2 (million)
% 0.16/0.41 % (15365)Success in time 0.017 s
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