%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM824^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:59 AM UTC 2026
% Result : Theorem 0.32s 0.40s
% Output : Refutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM824^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 % Computer : n004.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Tue Sep 29 13:02:53 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 Running higher-order theorem proving
% 0.27/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.40 % (1244836)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.40 % (1244845)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=129260091:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.40 % (1244848)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.40 % (1244848)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.40 % (1244846)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3041263399:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.40 % (1244842)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1111386658:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.40 % (1244843)lrs+10_16_si=on:nwc=1.5:random_seed=168660653:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.40 % (1244847)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1338205633:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.40 % (1244844)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=619798065:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.40 % (1244848)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3351831616:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.40 % (1244844)Instruction limit reached!
% 0.32/0.40 % (1244844)------------------------------
% 0.32/0.40 % (1244844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.40 % (1244844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.40 % (1244844)CaDiCaL version: 2.1.3
% 0.32/0.40 % (1244844)Termination reason: Instruction limit
% 0.32/0.40 % (1244844)Termination phase: Saturation
% 0.32/0.40 % (1244844)Time elapsed: 0.004 s
% 0.32/0.40 % (1244844)Peak memory usage: 12 MB
% 0.32/0.40 % (1244844)Instructions burned: 3 (million)
% 0.32/0.40 % (1244843)Instruction limit reached!
% 0.32/0.40 % (1244843)------------------------------
% 0.32/0.40 % (1244843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.40 % (1244843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.40 % (1244843)CaDiCaL version: 2.1.3
% 0.32/0.40 % (1244843)Termination reason: Instruction limit
% 0.32/0.40 % (1244843)Termination phase: Saturation
% 0.32/0.40 % (1244843)Time elapsed: 0.017 s
% 0.32/0.40 % (1244843)Peak memory usage: 12 MB
% 0.32/0.40 % (1244843)Instructions burned: 19 (million)
% 0.32/0.40 % (1244846)Instruction limit reached!
% 0.32/0.40 % (1244846)------------------------------
% 0.32/0.40 % (1244846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.40 % (1244846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.40 % (1244846)CaDiCaL version: 2.1.3
% 0.32/0.40 % (1244846)Termination reason: Instruction limit
% 0.32/0.40 % (1244846)Termination phase: Saturation
% 0.32/0.40 % (1244846)Time elapsed: 0.023 s
% 0.32/0.40 % (1244846)Peak memory usage: 12 MB
% 0.32/0.40 % (1244846)Instructions burned: 24 (million)
% 0.32/0.40 % (1244845) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1244836-1244845"...
% 0.32/0.40 % (1244845)...printing done.
% 0.32/0.40 % (1244845)Refutation found. Thanks to Tanya!
% 0.32/0.40 % SZS status Theorem for theBenchmark
% 0.32/0.40 % SZS output start Proof for theBenchmark
% 0.32/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.32/0.40 thf(func_def_0, type, cN: ($i > $o)).
% 0.32/0.40 thf(func_def_1, type, cODD: ($i > $o)).
% 0.32/0.40 thf(func_def_2, type, cEVEN: ($i > $o)).
% 0.32/0.40 thf(func_def_3, type, cS: ($i > $i)).
% 0.32/0.40 thf(func_def_9, type, sK1: (($i > $o) > ($i > $o) > $i)).
% 0.32/0.40 thf(func_def_10, type, sK2: (($i > $o) > ($i > $o) > $i)).
% 0.32/0.40 thf(func_def_11, type, vNOT: ($o > $o)).
% 0.32/0.40 thf(func_def_13, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.32/0.40 thf(func_def_14, type, db0: !>[X0: $tType]:(X0)).
% 0.32/0.40 thf(func_def_15, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.32/0.40 thf(f1,conjecture,(
% 0.32/0.40 (! [X0 : ($i > $o),X1 : ($i > $o)] : (((X0 @ c0) & ! [X2 : $i] : ((X0 @ X2) => (X1 @ (cS @ X2))) & ! [X3 : $i] : ((X1 @ X3) => (X0 @ (cS @ X3)))) => (! [X4 : $i] : ((cODD @ X4) => (X1 @ X4)) & ! [X4 : $i] : ((cEVEN @ X4) => (X0 @ X4)))) & (cN @ c0) & ! [X5 : $i] : ((cN @ X5) => (cN @ (cS @ X5)))) => ! [X6 : $i] : (((cEVEN @ X6) | (cODD @ X6)) => (cN @ X6))),
% 0.32/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM623_pme)).
% 0.32/0.40 thf(f2,negated_conjecture,(
% 0.32/0.40 ~((! [X0 : ($i > $o),X1 : ($i > $o)] : (((X0 @ c0) & ! [X2 : $i] : ((X0 @ X2) => (X1 @ (cS @ X2))) & ! [X3 : $i] : ((X1 @ X3) => (X0 @ (cS @ X3)))) => (! [X4 : $i] : ((cODD @ X4) => (X1 @ X4)) & ! [X4 : $i] : ((cEVEN @ X4) => (X0 @ X4)))) & (cN @ c0) & ! [X5 : $i] : ((cN @ X5) => (cN @ (cS @ X5)))) => ! [X6 : $i] : (((cEVEN @ X6) | (cODD @ X6)) => (cN @ X6)))),
% 0.32/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.32/0.40 thf(f3,plain,(
% 0.32/0.40 ~((! [X0 : ($i > $o),X1 : ($i > $o)] : (((X0 @ c0) & ! [X2 : $i] : ((X0 @ X2) => (X1 @ (cS @ X2))) & ! [X3 : $i] : ((X1 @ X3) => (X0 @ (cS @ X3)))) => (! [X4 : $i] : ((cODD @ X4) => (X1 @ X4)) & ! [X5 : $i] : ((cEVEN @ X5) => (X0 @ X5)))) & (cN @ c0) & ! [X6 : $i] : ((cN @ X6) => (cN @ (cS @ X6)))) => ! [X7 : $i] : (((cEVEN @ X7) | (cODD @ X7)) => (cN @ X7)))),
% 0.32/0.40 inference(rectify,[],[f2])).
% 0.32/0.40 thf(f4,plain,(
% 0.32/0.40 ~((! [X6 : $i] : ((((cN @ X6)) = $true) => ($true = ((cN @ (cS @ X6))))) & (((cN @ c0)) = $true) & ! [X1 : ($i > $o),X0 : ($i > $o)] : ((! [X3 : $i] : ((((X1 @ X3)) = $true) => (((X0 @ (cS @ X3))) = $true)) & ! [X2 : $i] : ((((X0 @ X2)) = $true) => (((X1 @ (cS @ X2))) = $true)) & (((X0 @ c0)) = $true)) => (! [X4 : $i] : ((((cODD @ X4)) = $true) => (((X1 @ X4)) = $true)) & ! [X5 : $i] : ((((cEVEN @ X5)) = $true) => (((X0 @ X5)) = $true))))) => ! [X7 : $i] : (((((cODD @ X7)) = $true) | ($true = ((cEVEN @ X7)))) => ($true = ((cN @ X7)))))),
% 0.32/0.40 inference(fool_elimination,[],[f3])).
% 0.32/0.40 thf(f5,plain,(
% 0.32/0.40 ? [X7 : $i] : (((((cODD @ X7)) = $true) | ($true = ((cEVEN @ X7)))) & ($true != ((cN @ X7)))) & (! [X6 : $i] : (($true = ((cN @ (cS @ X6)))) | (((cN @ X6)) != $true)) & (((cN @ c0)) = $true) & ! [X1 : ($i > $o),X0 : ($i > $o)] : ((! [X5 : $i] : ((((X0 @ X5)) = $true) | (((cEVEN @ X5)) != $true)) & ! [X4 : $i] : ((((cODD @ X4)) != $true) | (((X1 @ X4)) = $true))) | (? [X3 : $i] : ((((X0 @ (cS @ X3))) != $true) & (((X1 @ X3)) = $true)) | ? [X2 : $i] : ((((X0 @ X2)) = $true) & (((X1 @ (cS @ X2))) != $true)) | (((X0 @ c0)) != $true))))),
% 0.32/0.40 inference(ennf_transformation,[],[f4])).
% 0.32/0.40 thf(f6,plain,(
% 0.32/0.40 ! [X6 : $i] : (($true = ((cN @ (cS @ X6)))) | (((cN @ X6)) != $true)) & (((cN @ c0)) = $true) & ? [X7 : $i] : (((((cODD @ X7)) = $true) | ($true = ((cEVEN @ X7)))) & ($true != ((cN @ X7)))) & ! [X0 : ($i > $o),X1 : ($i > $o)] : ((((X0 @ c0)) != $true) | (! [X5 : $i] : ((((X0 @ X5)) = $true) | (((cEVEN @ X5)) != $true)) & ! [X4 : $i] : ((((cODD @ X4)) != $true) | (((X1 @ X4)) = $true))) | ? [X2 : $i] : ((((X0 @ X2)) = $true) & (((X1 @ (cS @ X2))) != $true)) | ? [X3 : $i] : ((((X0 @ (cS @ X3))) != $true) & (((X1 @ X3)) = $true)))),
% 0.32/0.40 inference(flattening,[],[f5])).
% 0.32/0.40 thf(f7,plain,(
% 0.32/0.40 ! [X0 : $i] : ((((cN @ (cS @ X0))) = $true) | (((cN @ X0)) != $true)) & (((cN @ c0)) = $true) & ? [X1 : $i] : ((($true = ((cODD @ X1))) | ($true = ((cEVEN @ X1)))) & (((cN @ X1)) != $true)) & ! [X2 : ($i > $o),X3 : ($i > $o)] : (($true != ((X2 @ c0))) | (! [X4 : $i] : (($true = ((X2 @ X4))) | (((cEVEN @ X4)) != $true)) & ! [X5 : $i] : (($true != ((cODD @ X5))) | (((X3 @ X5)) = $true))) | ? [X6 : $i] : (($true = ((X2 @ X6))) & (((X3 @ (cS @ X6))) != $true)) | ? [X7 : $i] : (($true != ((X2 @ (cS @ X7)))) & (((X3 @ X7)) = $true)))),
% 0.32/0.40 inference(rectify,[],[f6])).
% 0.32/0.40 thf(f8,plain,(
% 0.32/0.40 ! [X0 : $i] : ((((cN @ (cS @ X0))) = $true) | (((cN @ X0)) != $true)) & (((cN @ c0)) = $true) & (((((cODD @ sK0)) = $true) | (((cEVEN @ sK0)) = $true)) & (((cN @ sK0)) != $true)) & ! [X2 : ($i > $o),X3 : ($i > $o)] : (($true != ((X2 @ c0))) | (! [X4 : $i] : (($true = ((X2 @ X4))) | (((cEVEN @ X4)) != $true)) & ! [X5 : $i] : (($true != ((cODD @ X5))) | (((X3 @ X5)) = $true))) | ((((X2 @ (sK1 @ X3 @ X2))) = $true) & (((X3 @ (cS @ (sK1 @ X3 @ X2)))) != $true)) | ((((X2 @ (cS @ (sK2 @ X3 @ X2)))) != $true) & (((X3 @ (sK2 @ X3 @ X2))) = $true)))),
% 0.32/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP,vAPP]),skolemize(X1,sK0),skolemize(X7,sK2 @ X3 @ X2),skolemize(X7,sK2 @ X3 @ X2)],[f7])).
% 0.32/0.40 thf(f9,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X5 : $i] : ((((X3 @ (cS @ (sK1 @ X3 @ X2)))) != $true) | ($true != ((X2 @ c0))) | ($true != ((cODD @ X5))) | (((X3 @ (sK2 @ X3 @ X2))) = $true) | (((X3 @ X5)) = $true)) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f10,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X5 : $i] : ((((X3 @ (cS @ (sK1 @ X3 @ X2)))) != $true) | (((X3 @ X5)) = $true) | ($true != ((cODD @ X5))) | (((X2 @ (cS @ (sK2 @ X3 @ X2)))) != $true) | ($true != ((X2 @ c0)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f11,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X5 : $i] : ((((X3 @ (sK2 @ X3 @ X2))) = $true) | (((X3 @ X5)) = $true) | ($true != ((cODD @ X5))) | (((X2 @ (sK1 @ X3 @ X2))) = $true) | ($true != ((X2 @ c0)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f12,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X5 : $i] : ((((X2 @ (cS @ (sK2 @ X3 @ X2)))) != $true) | ($true != ((X2 @ c0))) | (((X3 @ X5)) = $true) | ($true != ((cODD @ X5))) | (((X2 @ (sK1 @ X3 @ X2))) = $true)) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f13,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X4 : $i] : ((((X3 @ (cS @ (sK1 @ X3 @ X2)))) != $true) | (((cEVEN @ X4)) != $true) | ($true = ((X2 @ X4))) | (((X3 @ (sK2 @ X3 @ X2))) = $true) | ($true != ((X2 @ c0)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f14,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X4 : $i] : ((((X3 @ (cS @ (sK1 @ X3 @ X2)))) != $true) | ($true != ((X2 @ c0))) | (((cEVEN @ X4)) != $true) | (((X2 @ (cS @ (sK2 @ X3 @ X2)))) != $true) | ($true = ((X2 @ X4)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f15,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X4 : $i] : ((((X3 @ (sK2 @ X3 @ X2))) = $true) | (((X2 @ (sK1 @ X3 @ X2))) = $true) | (((cEVEN @ X4)) != $true) | ($true != ((X2 @ c0))) | ($true = ((X2 @ X4)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f16,plain,(
% 0.32/0.40 ( ! [X2 : ($i > $o),X3 : ($i > $o),X4 : $i] : ((((X2 @ (cS @ (sK2 @ X3 @ X2)))) != $true) | (((X2 @ (sK1 @ X3 @ X2))) = $true) | ($true != ((X2 @ c0))) | (((cEVEN @ X4)) != $true) | ($true = ((X2 @ X4)))) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f17,plain,(
% 0.32/0.40 (((cN @ sK0)) != $true)),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f18,plain,(
% 0.32/0.40 (((cEVEN @ sK0)) = $true) | (((cODD @ sK0)) = $true)),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f19,plain,(
% 0.32/0.40 (((cN @ c0)) = $true)),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f20,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ (cS @ X0))) = $true) | (((cN @ X0)) != $true)) )),
% 0.32/0.40 inference(cnf_transformation,[],[f8])).
% 0.32/0.40 thf(f23,definition,(
% 0.32/0.40 spl3_1 <=> (((cN @ sK0)) = $true)),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.32/0.40 thf(f25,plain,(
% 0.32/0.40 (((cN @ sK0)) != $true) | spl3_1),
% 0.32/0.40 inference(avatar_component_clause,[],[f23])).
% 0.32/0.40 thf(f26,plain,(
% 0.32/0.40 ~spl3_1),
% 0.32/0.40 inference(avatar_split_clause,[],[f17,f23])).
% 0.32/0.40 thf(f28,definition,(
% 0.32/0.40 spl3_2 <=> (((cN @ c0)) = $true)),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 0.32/0.40 thf(f30,plain,(
% 0.32/0.40 (((cN @ c0)) = $true) | ~spl3_2),
% 0.32/0.40 inference(avatar_component_clause,[],[f28])).
% 0.32/0.40 thf(f31,plain,(
% 0.32/0.40 spl3_2),
% 0.32/0.40 inference(avatar_split_clause,[],[f19,f28])).
% 0.32/0.40 thf(f33,definition,(
% 0.32/0.40 spl3_3 <=> (((cEVEN @ sK0)) = $true)),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition])).
% 0.32/0.40 thf(f37,definition,(
% 0.32/0.40 spl3_4 <=> (((cODD @ sK0)) = $true)),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition])).
% 0.32/0.40 thf(f40,plain,(
% 0.32/0.40 spl3_3 | spl3_4),
% 0.32/0.40 inference(avatar_split_clause,[],[f18,f37,f33])).
% 0.32/0.40 thf(f96,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((cODD @ X1))) | ($true != $true) | ($true = ((cN @ (sK2 @ cN @ X0)))) | (((X0 @ c0)) != $true) | (((cN @ X1)) = $true) | (((cN @ (sK1 @ cN @ X0))) != $true)) )),
% 0.32/0.40 inference(superposition,[],[f9,f20])).
% 0.32/0.40 thf(f107,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true = ((cN @ (sK2 @ cN @ X0)))) | (((X0 @ c0)) != $true) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((cN @ X1)) = $true) | ($true != ((cODD @ X1)))) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f96])).
% 0.32/0.40 thf(f109,definition,(
% 0.32/0.40 spl3_11 <=> ! [X1 : $i] : ((((cN @ X1)) = $true) | ($true != ((cODD @ X1))))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition])).
% 0.32/0.40 thf(f110,plain,(
% 0.32/0.40 ( ! [X1 : $i] : ((((cN @ X1)) = $true) | ($true != ((cODD @ X1)))) ) | ~spl3_11),
% 0.32/0.40 inference(avatar_component_clause,[],[f109])).
% 0.32/0.40 thf(f112,definition,(
% 0.32/0.40 spl3_12 <=> ! [X0 : ($i > $o)] : (($true = ((cN @ (sK2 @ cN @ X0)))) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ c0)) != $true))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition])).
% 0.32/0.40 thf(f113,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o)] : (($true = ((cN @ (sK2 @ cN @ X0)))) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ c0)) != $true)) ) | ~spl3_12),
% 0.32/0.40 inference(avatar_component_clause,[],[f112])).
% 0.32/0.40 thf(f114,plain,(
% 0.32/0.40 spl3_11 | spl3_12),
% 0.32/0.40 inference(avatar_split_clause,[],[f107,f112,f109])).
% 0.32/0.40 thf(f125,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((cODD @ X1))) | (((cN @ c0)) != $true) | ($true != ((cN @ (sK2 @ X0 @ cN)))) | (((X0 @ X1)) = $true) | (((cN @ (sK1 @ X0 @ cN))) = $true) | ($true != $true)) )),
% 0.32/0.40 inference(superposition,[],[f12,f20])).
% 0.32/0.40 thf(f128,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((cN @ c0)) != $true) | ($true != ((cODD @ X1))) | (((X0 @ X1)) = $true) | (((cN @ (sK1 @ X0 @ cN))) = $true) | ($true != ((cN @ (sK2 @ X0 @ cN))))) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f125])).
% 0.32/0.40 thf(f137,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((cN @ (sK1 @ X0 @ cN))) = $true) | ($true != ((cODD @ X1))) | ($true != ((cN @ (sK2 @ X0 @ cN)))) | (((X0 @ X1)) = $true)) ) | ~spl3_2),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f128,f30])).
% 0.32/0.40 thf(f142,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ c0)) != $true) | (((cN @ (sK1 @ cN @ X0))) != $true) | ($true = ((cN @ (sK2 @ cN @ X0)))) | ($true != ((cEVEN @ X1))) | (((X0 @ X1)) = $true) | ($true != $true)) )),
% 0.32/0.40 inference(superposition,[],[f13,f20])).
% 0.32/0.40 thf(f143,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true = ((cN @ (sK2 @ cN @ X0)))) | (((cN @ (sK1 @ cN @ X0))) != $true) | ($true != ((cEVEN @ X1))) | (((X0 @ c0)) != $true) | (((X0 @ X1)) = $true)) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f142])).
% 0.32/0.40 thf(f154,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((cN @ X1)) = $true) | ($true != ((cN @ (sK2 @ X0 @ cN)))) | (((cN @ (sK1 @ X0 @ cN))) = $true) | ($true != ((cEVEN @ X1))) | (((cN @ c0)) != $true) | ($true != $true)) )),
% 0.32/0.40 inference(superposition,[],[f16,f20])).
% 0.32/0.40 thf(f155,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((cEVEN @ X1))) | (((cN @ X1)) = $true) | ($true != ((cN @ (sK2 @ X0 @ cN)))) | (((cN @ (sK1 @ X0 @ cN))) = $true) | (((cN @ c0)) != $true)) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f154])).
% 0.32/0.40 thf(f167,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((cEVEN @ X1))) | ($true != ((cN @ (sK2 @ X0 @ cN)))) | (((cN @ X1)) = $true) | (((cN @ (sK1 @ X0 @ cN))) = $true)) ) | ~spl3_2),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f155,f30])).
% 0.32/0.40 thf(f169,definition,(
% 0.32/0.40 spl3_13 <=> ! [X1 : $i] : (($true != ((cEVEN @ X1))) | (((cN @ X1)) = $true))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition])).
% 0.32/0.40 thf(f170,plain,(
% 0.32/0.40 ( ! [X1 : $i] : ((((cN @ X1)) = $true) | ($true != ((cEVEN @ X1)))) ) | ~spl3_13),
% 0.32/0.40 inference(avatar_component_clause,[],[f169])).
% 0.32/0.40 thf(f172,definition,(
% 0.32/0.40 spl3_14 <=> ! [X0 : ($i > $o)] : (($true != ((cN @ (sK2 @ X0 @ cN)))) | (((cN @ (sK1 @ X0 @ cN))) = $true))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition])).
% 0.32/0.40 thf(f173,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o)] : ((((cN @ (sK1 @ X0 @ cN))) = $true) | ($true != ((cN @ (sK2 @ X0 @ cN))))) ) | ~spl3_14),
% 0.32/0.40 inference(avatar_component_clause,[],[f172])).
% 0.32/0.40 thf(f174,plain,(
% 0.32/0.40 spl3_13 | spl3_14 | ~spl3_2),
% 0.32/0.40 inference(avatar_split_clause,[],[f167,f28,f172,f169])).
% 0.32/0.40 thf(f175,plain,(
% 0.32/0.40 ($true != $true) | (((cEVEN @ sK0)) != $true) | (spl3_1 | ~spl3_13)),
% 0.32/0.40 inference(superposition,[],[f25,f170])).
% 0.32/0.40 thf(f183,plain,(
% 0.32/0.40 (((cEVEN @ sK0)) != $true) | (spl3_1 | ~spl3_13)),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f175])).
% 0.32/0.40 thf(f189,plain,(
% 0.32/0.40 ~spl3_3 | spl3_1 | ~spl3_13),
% 0.32/0.40 inference(avatar_split_clause,[],[f183,f169,f23,f33])).
% 0.32/0.40 thf(f196,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((cODD @ X1))) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true) | ($true != $true) | (((X0 @ c0)) != $true) | (((cN @ X1)) = $true)) )),
% 0.32/0.40 inference(superposition,[],[f10,f20])).
% 0.32/0.40 thf(f203,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ c0)) != $true) | (((cN @ X1)) = $true) | ($true != ((cODD @ X1))) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true)) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f196])).
% 0.32/0.40 thf(f205,definition,(
% 0.32/0.40 spl3_16 <=> ! [X0 : ($i > $o)] : ((((X0 @ c0)) != $true) | (((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true) | (((cN @ (sK1 @ cN @ X0))) != $true))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition])).
% 0.32/0.40 thf(f206,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o)] : ((((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true) | (((X0 @ c0)) != $true) | (((cN @ (sK1 @ cN @ X0))) != $true)) ) | ~spl3_16),
% 0.32/0.40 inference(avatar_component_clause,[],[f205])).
% 0.32/0.40 thf(f207,plain,(
% 0.32/0.40 spl3_11 | spl3_16),
% 0.32/0.40 inference(avatar_split_clause,[],[f203,f205,f109])).
% 0.32/0.40 thf(f208,plain,(
% 0.32/0.40 ($true != $true) | (((cODD @ sK0)) != $true) | (spl3_1 | ~spl3_11)),
% 0.32/0.40 inference(superposition,[],[f25,f110])).
% 0.32/0.40 thf(f219,plain,(
% 0.32/0.40 (((cODD @ sK0)) != $true) | (spl3_1 | ~spl3_11)),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f208])).
% 0.32/0.40 thf(f222,plain,(
% 0.32/0.40 ~spl3_4 | spl3_1 | ~spl3_11),
% 0.32/0.40 inference(avatar_split_clause,[],[f219,f109,f23,f37])).
% 0.32/0.40 thf(f233,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ X1)) = $true) | (((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true) | ($true != $true) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ c0)) != $true) | ($true != ((cEVEN @ X1)))) )),
% 0.32/0.40 inference(superposition,[],[f14,f20])).
% 0.32/0.40 thf(f234,plain,(
% 0.32/0.40 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ (cS @ (sK2 @ cN @ X0)))) != $true) | (((X0 @ c0)) != $true) | (((cN @ (sK1 @ cN @ X0))) != $true) | (((X0 @ X1)) = $true) | ($true != ((cEVEN @ X1)))) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f233])).
% 0.32/0.40 thf(f292,plain,(
% 0.32/0.40 (((cN @ c0)) != $true) | ($true != ((cN @ (sK1 @ cN @ cN)))) | (((cN @ (sK2 @ cN @ cN))) != $true) | ($true != $true) | ~spl3_16),
% 0.32/0.40 inference(superposition,[],[f206,f20])).
% 0.32/0.40 thf(f299,plain,(
% 0.32/0.40 (((cN @ c0)) != $true) | ($true != ((cN @ (sK1 @ cN @ cN)))) | (((cN @ (sK2 @ cN @ cN))) != $true) | ~spl3_16),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f292])).
% 0.32/0.40 thf(f313,definition,(
% 0.32/0.40 spl3_21 <=> (((cN @ (sK2 @ cN @ cN))) = $true)),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition])).
% 0.32/0.40 thf(f314,plain,(
% 0.32/0.40 (((cN @ (sK2 @ cN @ cN))) = $true) | ~spl3_21),
% 0.32/0.40 inference(avatar_component_clause,[],[f313])).
% 0.32/0.40 thf(f315,plain,(
% 0.32/0.40 (((cN @ (sK2 @ cN @ cN))) != $true) | spl3_21),
% 0.32/0.40 inference(avatar_component_clause,[],[f313])).
% 0.32/0.40 thf(f317,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true = ((cN @ (sK1 @ cN @ cN)))) | (((cEVEN @ X0)) != $true) | (((cN @ c0)) != $true) | ($true != $true) | (((cN @ X0)) = $true)) ) | spl3_21),
% 0.32/0.40 inference(superposition,[],[f315,f15])).
% 0.32/0.40 thf(f318,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true != ((cODD @ X0))) | (((cN @ c0)) != $true) | ($true = ((cN @ (sK1 @ cN @ cN)))) | ($true != $true) | (((cN @ X0)) = $true)) ) | spl3_21),
% 0.32/0.40 inference(superposition,[],[f315,f11])).
% 0.32/0.40 thf(f319,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ X0)) = $true) | ($true = ((cN @ (sK1 @ cN @ cN)))) | (((cEVEN @ X0)) != $true) | (((cN @ c0)) != $true)) ) | spl3_21),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f317])).
% 0.32/0.40 thf(f320,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ c0)) != $true) | ($true != ((cODD @ X0))) | (((cN @ X0)) = $true) | ($true = ((cN @ (sK1 @ cN @ cN))))) ) | spl3_21),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f318])).
% 0.32/0.40 thf(f321,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true = ((cN @ (sK1 @ cN @ cN)))) | (((cEVEN @ X0)) != $true) | (((cN @ X0)) = $true)) ) | (~spl3_2 | spl3_21)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f319,f30])).
% 0.32/0.40 thf(f322,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ X0)) = $true) | ($true = ((cN @ (sK1 @ cN @ cN)))) | ($true != ((cODD @ X0)))) ) | (~spl3_2 | spl3_21)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f320,f30])).
% 0.32/0.40 thf(f324,definition,(
% 0.32/0.40 spl3_22 <=> ($true = ((cN @ (sK1 @ cN @ cN))))),
% 0.32/0.40 introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition])).
% 0.32/0.40 thf(f325,plain,(
% 0.32/0.40 ($true != ((cN @ (sK1 @ cN @ cN)))) | spl3_22),
% 0.32/0.40 inference(avatar_component_clause,[],[f324])).
% 0.32/0.40 thf(f327,plain,(
% 0.32/0.40 spl3_22 | spl3_13 | ~spl3_2 | spl3_21),
% 0.32/0.40 inference(avatar_split_clause,[],[f321,f313,f28,f169,f324])).
% 0.32/0.40 thf(f328,plain,(
% 0.32/0.40 spl3_22 | spl3_11 | ~spl3_2 | spl3_21),
% 0.32/0.40 inference(avatar_split_clause,[],[f322,f313,f28,f109,f324])).
% 0.32/0.40 thf(f402,plain,(
% 0.32/0.40 ($true != ((cN @ (sK1 @ cN @ cN)))) | (((cN @ c0)) != $true) | (~spl3_12 | ~spl3_16)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f299,f113])).
% 0.32/0.40 thf(f405,plain,(
% 0.32/0.40 ($true != ((cN @ (sK1 @ cN @ cN)))) | (~spl3_2 | ~spl3_12 | ~spl3_16)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f402,f30])).
% 0.32/0.40 thf(f406,plain,(
% 0.32/0.40 ~spl3_22 | ~spl3_2 | ~spl3_12 | ~spl3_16),
% 0.32/0.40 inference(avatar_split_clause,[],[f405,f205,f112,f28,f324])).
% 0.32/0.40 thf(f724,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true != ((cODD @ X0))) | (((cN @ X0)) = $true) | (((cN @ (sK2 @ cN @ cN))) != $true) | ($true != $true)) ) | (~spl3_2 | spl3_22)),
% 0.32/0.40 inference(superposition,[],[f325,f137])).
% 0.32/0.40 thf(f728,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ X0)) = $true) | ($true != ((cODD @ X0))) | (((cN @ (sK2 @ cN @ cN))) != $true)) ) | (~spl3_2 | spl3_22)),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f724])).
% 0.32/0.40 thf(f730,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ X0)) = $true) | ($true != ((cODD @ X0)))) ) | (~spl3_2 | ~spl3_21 | spl3_22)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f728,f314])).
% 0.32/0.40 thf(f736,plain,(
% 0.32/0.40 spl3_11 | ~spl3_2 | ~spl3_21 | spl3_22),
% 0.32/0.40 inference(avatar_split_clause,[],[f730,f324,f313,f28,f109])).
% 0.32/0.40 thf(f899,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ (sK2 @ cN @ cN))) != $true) | ($true != ((cN @ (sK1 @ cN @ cN)))) | (((cEVEN @ X0)) != $true) | ($true != $true) | (((cN @ X0)) = $true) | (((cN @ c0)) != $true)) )),
% 0.32/0.40 inference(superposition,[],[f234,f20])).
% 0.32/0.40 thf(f914,plain,(
% 0.32/0.40 ( ! [X0 : $i] : ((((cN @ c0)) != $true) | (((cEVEN @ X0)) != $true) | (((cN @ X0)) = $true) | ($true != ((cN @ (sK1 @ cN @ cN)))) | (((cN @ (sK2 @ cN @ cN))) != $true)) )),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f899])).
% 0.32/0.40 thf(f916,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true != ((cN @ (sK1 @ cN @ cN)))) | (((cEVEN @ X0)) != $true) | (((cN @ c0)) != $true) | (((cN @ X0)) = $true)) )),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f914,f143])).
% 0.32/0.40 thf(f918,plain,(
% 0.32/0.40 ( ! [X0 : $i] : (($true != ((cN @ (sK1 @ cN @ cN)))) | (((cN @ X0)) = $true) | (((cEVEN @ X0)) != $true)) ) | ~spl3_2),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f916,f30])).
% 0.32/0.40 thf(f920,plain,(
% 0.32/0.40 ~spl3_22 | spl3_13 | ~spl3_2),
% 0.32/0.40 inference(avatar_split_clause,[],[f918,f28,f169,f324])).
% 0.32/0.40 thf(f1101,plain,(
% 0.32/0.40 ($true != $true) | (((cN @ (sK2 @ cN @ cN))) != $true) | (~spl3_14 | spl3_22)),
% 0.32/0.40 inference(superposition,[],[f325,f173])).
% 0.32/0.40 thf(f1106,plain,(
% 0.32/0.40 (((cN @ (sK2 @ cN @ cN))) != $true) | (~spl3_14 | spl3_22)),
% 0.32/0.40 inference(trivial_inequality_removal,[],[f1101])).
% 0.32/0.40 thf(f1109,plain,(
% 0.32/0.40 $false | (~spl3_14 | ~spl3_21 | spl3_22)),
% 0.32/0.40 inference(forward_subsumption_resolution,[],[f1106,f314])).
% 0.32/0.40 thf(f1110,plain,(
% 0.32/0.40 ~spl3_14 | ~spl3_21 | spl3_22),
% 0.32/0.40 inference(avatar_contradiction_clause,[],[f1109])).
% 0.32/0.40 cnf(s1, plain, ~spl3_1, inference(sat_conversion,[],[f26])).
% 0.32/0.40 cnf(s2, plain, spl3_2, inference(sat_conversion,[],[f31])).
% 0.32/0.40 cnf(s3, plain, spl3_3 | spl3_4, inference(sat_conversion,[],[f40])).
% 0.32/0.40 cnf(s7, plain, spl3_11 | spl3_12, inference(sat_conversion,[],[f114])).
% 0.32/0.40 cnf(s9, plain, ~spl3_2 | spl3_13 | spl3_14, inference(sat_conversion,[],[f174])).
% 0.32/0.40 cnf(s11, plain, spl3_1 | ~spl3_3 | ~spl3_13, inference(sat_conversion,[],[f189])).
% 0.32/0.40 cnf(s12, plain, spl3_11 | spl3_16, inference(sat_conversion,[],[f207])).
% 0.32/0.40 cnf(s13, plain, spl3_1 | ~spl3_4 | ~spl3_11, inference(sat_conversion,[],[f222])).
% 0.32/0.40 cnf(s20, plain, ~spl3_2 | spl3_13 | spl3_21 | spl3_22, inference(sat_conversion,[],[f327])).
% 0.32/0.40 cnf(s21, plain, ~spl3_2 | spl3_11 | spl3_21 | spl3_22, inference(sat_conversion,[],[f328])).
% 0.32/0.40 cnf(s26, plain, ~spl3_2 | ~spl3_12 | ~spl3_16 | ~spl3_22, inference(sat_conversion,[],[f406])).
% 0.32/0.40 cnf(s36, plain, ~spl3_2 | spl3_11 | ~spl3_21 | spl3_22, inference(sat_conversion,[],[f736])).
% 0.32/0.40 cnf(s47, plain, ~spl3_2 | spl3_13 | ~spl3_22, inference(sat_conversion,[],[f920])).
% 0.32/0.40 cnf(s54, plain, ~spl3_14 | ~spl3_21 | spl3_22, inference(sat_conversion,[],[f1110])).
% 0.32/0.40 cnf(s55, plain, spl3_22 | spl3_11, inference(rat,[],[s36,s21,s2])).
% 0.32/0.40 cnf(s56, plain, spl3_11, inference(rat,[],[s55,s26,s7,s12,s2])).
% 0.32/0.40 cnf(s57, plain, ~spl3_4, inference(rat,[],[s13,s1,s56])).
% 0.32/0.40 cnf(s58, plain, spl3_3, inference(rat,[],[s3,s57])).
% 0.32/0.40 cnf(s59, plain, ~spl3_13, inference(rat,[],[s11,s1,s58])).
% 0.32/0.40 cnf(s61, plain, ~spl3_22, inference(rat,[],[s47,s2,s59])).
% 0.32/0.40 cnf(s62, plain, spl3_21, inference(rat,[],[s20,s61,s2,s59])).
% 0.32/0.40 cnf(s63, plain, spl3_14, inference(rat,[],[s9,s2,s59])).
% 0.32/0.40 cnf(s66, plain, $false, inference(rat,[],[s54,s62,s61,s63])).
% 0.32/0.40 thf(f1111,plain,(
% 0.32/0.40 $false),
% 0.32/0.40 inference(avatar_sat_refutation,[],[s66])).
% 0.32/0.40 % SZS output end Proof for theBenchmark
% 0.32/0.40 % (1244845)------------------------------
% 0.32/0.40 % (1244845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.40 % (1244845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.40 % (1244845)CaDiCaL version: 2.1.3
% 0.32/0.40 % (1244845)Termination reason: Refutation
% 0.32/0.40 % (1244845)Time elapsed: 0.039 s
% 0.32/0.40 % (1244845)Peak memory usage: 13 MB
% 0.32/0.40 % (1244845)Instructions burned: 73 (million)
% 0.32/0.40 % (1244836)Success in time 0.066 s
% 0.32/0.40 % Vampire exiting
%------------------------------------------------------------------------------