TSTP Solution File: SEU660^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU660^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 03:50:24 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU660^2 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 16:08:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39 % (8650)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (8645)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.39 % (8646)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.16/0.39 % (8645)Instruction limit reached!
% 0.16/0.39 % (8645)------------------------------
% 0.16/0.39 % (8645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (8645)Termination reason: Unknown
% 0.16/0.39 % (8645)Termination phase: Saturation
% 0.16/0.39 % (8650)First to succeed.
% 0.16/0.39
% 0.16/0.39 % (8645)Memory used [KB]: 5500
% 0.16/0.39 % (8645)Time elapsed: 0.005 s
% 0.16/0.39 % (8645)Instructions burned: 4 (million)
% 0.16/0.39 % (8645)------------------------------
% 0.16/0.39 % (8645)------------------------------
% 0.16/0.39 % (8651)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.39 % (8651)Instruction limit reached!
% 0.16/0.39 % (8651)------------------------------
% 0.16/0.39 % (8651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (8651)Termination reason: Unknown
% 0.16/0.39 % (8651)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (8651)Memory used [KB]: 5500
% 0.16/0.39 % (8651)Time elapsed: 0.003 s
% 0.16/0.39 % (8650)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% 0.16/0.39 thf(func_def_0, type, in: $i > $i > $o).
% 0.16/0.39 thf(func_def_1, type, kpair: $i > $i > $i).
% 0.16/0.39 thf(func_def_2, type, cartprod: $i > $i > $i).
% 0.16/0.39 thf(func_def_15, type, sK7: $i > $i > $i > $i).
% 0.16/0.39 thf(func_def_16, type, sK8: $i > $i > $i > $i).
% 0.16/0.39 thf(f66,plain,(
% 0.16/0.39 $false),
% 0.16/0.39 inference(subsumption_resolution,[],[f65,f39])).
% 0.16/0.39 thf(f39,plain,(
% 0.16/0.39 ($true != (in @ sK11 @ sK10))),
% 0.16/0.39 inference(cnf_transformation,[],[f28])).
% 0.16/0.39 thf(f28,plain,(
% 0.16/0.39 (($true = (in @ (kpair @ sK9 @ sK11) @ (cartprod @ sK12 @ sK10))) & ($true != (in @ sK11 @ sK10))) & (setukpairinjR = $true) & (cartprodmempair1 = $true)),
% 0.16/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f26,f27])).
% 0.16/0.39 thf(f27,plain,(
% 0.16/0.39 ? [X0,X1,X2,X3] : (((in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)) = $true) & ($true != (in @ X2 @ X1))) => (($true = (in @ (kpair @ sK9 @ sK11) @ (cartprod @ sK12 @ sK10))) & ($true != (in @ sK11 @ sK10)))),
% 0.16/0.39 introduced(choice_axiom,[])).
% 0.16/0.39 thf(f26,plain,(
% 0.16/0.39 ? [X0,X1,X2,X3] : (((in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)) = $true) & ($true != (in @ X2 @ X1))) & (setukpairinjR = $true) & (cartprodmempair1 = $true)),
% 0.16/0.39 inference(rectify,[],[f14])).
% 0.16/0.39 thf(f14,plain,(
% 0.16/0.39 ? [X1,X2,X3,X0] : (($true = (in @ (kpair @ X1 @ X3) @ (cartprod @ X0 @ X2))) & ($true != (in @ X3 @ X2))) & (setukpairinjR = $true) & (cartprodmempair1 = $true)),
% 0.16/0.39 inference(flattening,[],[f13])).
% 0.16/0.39 thf(f13,plain,(
% 0.16/0.39 (? [X1,X2,X3,X0] : (($true = (in @ (kpair @ X1 @ X3) @ (cartprod @ X0 @ X2))) & ($true != (in @ X3 @ X2))) & (setukpairinjR = $true)) & (cartprodmempair1 = $true)),
% 0.16/0.39 inference(ennf_transformation,[],[f9])).
% 0.16/0.39 thf(f9,plain,(
% 0.16/0.39 ~((cartprodmempair1 = $true) => ((setukpairinjR = $true) => ! [X3,X2,X1,X0] : (($true = (in @ (kpair @ X1 @ X3) @ (cartprod @ X0 @ X2))) => ($true = (in @ X3 @ X2)))))),
% 0.16/0.39 inference(fool_elimination,[],[f8])).
% 0.16/0.39 thf(f8,plain,(
% 0.16/0.39 ~(cartprodmempair1 => (setukpairinjR => ! [X0,X1,X2,X3] : ((in @ (kpair @ X1 @ X3) @ (cartprod @ X0 @ X2)) => (in @ X3 @ X2))))),
% 0.16/0.39 inference(rectify,[],[f4])).
% 0.16/0.39 thf(f4,negated_conjecture,(
% 0.16/0.39 ~(cartprodmempair1 => (setukpairinjR => ! [X0,X3,X1,X4] : ((in @ (kpair @ X3 @ X4) @ (cartprod @ X0 @ X1)) => (in @ X4 @ X1))))),
% 0.16/0.39 inference(negated_conjecture,[],[f3])).
% 0.16/0.39 thf(f3,conjecture,(
% 0.16/0.39 cartprodmempair1 => (setukpairinjR => ! [X0,X3,X1,X4] : ((in @ (kpair @ X3 @ X4) @ (cartprod @ X0 @ X1)) => (in @ X4 @ X1)))),
% 0.16/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairmemER)).
% 0.16/0.39 thf(f65,plain,(
% 0.16/0.39 ($true = (in @ sK11 @ sK10))),
% 0.16/0.39 inference(backward_demodulation,[],[f57,f63])).
% 0.16/0.39 thf(f63,plain,(
% 0.16/0.39 ((sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) = sK11)),
% 0.16/0.39 inference(equality_resolution,[],[f61])).
% 0.16/0.39 thf(f61,plain,(
% 0.16/0.39 ( ! [X0 : $i,X1 : $i] : (((kpair @ sK9 @ sK11) != (kpair @ X0 @ X1)) | ((sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) = X1)) )),
% 0.16/0.39 inference(superposition,[],[f51,f59])).
% 0.16/0.39 thf(f59,plain,(
% 0.16/0.39 ((kpair @ sK9 @ sK11) = (kpair @ (sK7 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) @ (sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12)))),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f58])).
% 0.16/0.39 thf(f58,plain,(
% 0.16/0.39 ($true != $true) | ((kpair @ sK9 @ sK11) = (kpair @ (sK7 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) @ (sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12)))),
% 0.16/0.39 inference(superposition,[],[f50,f40])).
% 0.16/0.39 thf(f40,plain,(
% 0.16/0.39 ($true = (in @ (kpair @ sK9 @ sK11) @ (cartprod @ sK12 @ sK10)))),
% 0.16/0.39 inference(cnf_transformation,[],[f28])).
% 0.16/0.39 thf(f50,plain,(
% 0.16/0.39 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true != (in @ X6 @ (cartprod @ X5 @ X7))) | ((kpair @ (sK7 @ X7 @ X6 @ X5) @ (sK8 @ X7 @ X6 @ X5)) = X6)) )),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f46])).
% 0.16/0.39 thf(f46,plain,(
% 0.16/0.39 ( ! [X6 : $i,X7 : $i,X5 : $i] : (((kpair @ (sK7 @ X7 @ X6 @ X5) @ (sK8 @ X7 @ X6 @ X5)) = X6) | ($true != (in @ X6 @ (cartprod @ X5 @ X7))) | ($true != $true)) )),
% 0.16/0.39 inference(definition_unfolding,[],[f34,f37])).
% 0.16/0.39 thf(f37,plain,(
% 0.16/0.39 (cartprodmempair1 = $true)),
% 0.16/0.39 inference(cnf_transformation,[],[f28])).
% 0.16/0.39 thf(f34,plain,(
% 0.16/0.39 ( ! [X6 : $i,X7 : $i,X5 : $i] : (((kpair @ (sK7 @ X7 @ X6 @ X5) @ (sK8 @ X7 @ X6 @ X5)) = X6) | ($true != (in @ X6 @ (cartprod @ X5 @ X7))) | (cartprodmempair1 != $true)) )),
% 0.16/0.40 inference(cnf_transformation,[],[f25])).
% 0.16/0.40 thf(f25,plain,(
% 0.16/0.40 ((cartprodmempair1 = $true) | (! [X3] : (! [X4] : (((kpair @ X3 @ X4) != sK5) | ($true != (in @ X4 @ sK6))) | ((in @ X3 @ sK4) != $true)) & ($true = (in @ sK5 @ (cartprod @ sK4 @ sK6))))) & (! [X5,X6,X7] : (((((kpair @ (sK7 @ X7 @ X6 @ X5) @ (sK8 @ X7 @ X6 @ X5)) = X6) & ((in @ (sK8 @ X7 @ X6 @ X5) @ X7) = $true)) & ($true = (in @ (sK7 @ X7 @ X6 @ X5) @ X5))) | ($true != (in @ X6 @ (cartprod @ X5 @ X7)))) | (cartprodmempair1 != $true))),
% 0.16/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f21,f24,f23,f22])).
% 0.16/0.40 thf(f22,plain,(
% 0.16/0.40 ? [X0,X1,X2] : (! [X3] : (! [X4] : (((kpair @ X3 @ X4) != X1) | ($true != (in @ X4 @ X2))) | ((in @ X3 @ X0) != $true)) & ($true = (in @ X1 @ (cartprod @ X0 @ X2)))) => (! [X3] : (! [X4] : (((kpair @ X3 @ X4) != sK5) | ($true != (in @ X4 @ sK6))) | ((in @ X3 @ sK4) != $true)) & ($true = (in @ sK5 @ (cartprod @ sK4 @ sK6))))),
% 0.16/0.40 introduced(choice_axiom,[])).
% 0.16/0.40 thf(f23,plain,(
% 0.16/0.40 ! [X5,X6,X7] : (? [X8] : (? [X9] : (((kpair @ X8 @ X9) = X6) & ($true = (in @ X9 @ X7))) & ($true = (in @ X8 @ X5))) => (? [X9] : (((kpair @ (sK7 @ X7 @ X6 @ X5) @ X9) = X6) & ($true = (in @ X9 @ X7))) & ($true = (in @ (sK7 @ X7 @ X6 @ X5) @ X5))))),
% 0.16/0.40 introduced(choice_axiom,[])).
% 0.16/0.40 thf(f24,plain,(
% 0.16/0.40 ! [X5,X6,X7] : (? [X9] : (((kpair @ (sK7 @ X7 @ X6 @ X5) @ X9) = X6) & ($true = (in @ X9 @ X7))) => (((kpair @ (sK7 @ X7 @ X6 @ X5) @ (sK8 @ X7 @ X6 @ X5)) = X6) & ((in @ (sK8 @ X7 @ X6 @ X5) @ X7) = $true)))),
% 0.16/0.40 introduced(choice_axiom,[])).
% 0.16/0.40 thf(f21,plain,(
% 0.16/0.40 ((cartprodmempair1 = $true) | ? [X0,X1,X2] : (! [X3] : (! [X4] : (((kpair @ X3 @ X4) != X1) | ($true != (in @ X4 @ X2))) | ((in @ X3 @ X0) != $true)) & ($true = (in @ X1 @ (cartprod @ X0 @ X2))))) & (! [X5,X6,X7] : (? [X8] : (? [X9] : (((kpair @ X8 @ X9) = X6) & ($true = (in @ X9 @ X7))) & ($true = (in @ X8 @ X5))) | ($true != (in @ X6 @ (cartprod @ X5 @ X7)))) | (cartprodmempair1 != $true))),
% 0.16/0.40 inference(rectify,[],[f20])).
% 0.16/0.40 thf(f20,plain,(
% 0.16/0.40 ((cartprodmempair1 = $true) | ? [X1,X2,X0] : (! [X3] : (! [X4] : (((kpair @ X3 @ X4) != X2) | ($true != (in @ X4 @ X0))) | ((in @ X3 @ X1) != $true)) & ($true = (in @ X2 @ (cartprod @ X1 @ X0))))) & (! [X1,X2,X0] : (? [X3] : (? [X4] : (((kpair @ X3 @ X4) = X2) & ($true = (in @ X4 @ X0))) & ((in @ X3 @ X1) = $true)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0)))) | (cartprodmempair1 != $true))),
% 0.16/0.40 inference(nnf_transformation,[],[f12])).
% 0.16/0.40 thf(f12,plain,(
% 0.16/0.40 (cartprodmempair1 = $true) <=> ! [X1,X2,X0] : (? [X3] : (? [X4] : (((kpair @ X3 @ X4) = X2) & ($true = (in @ X4 @ X0))) & ((in @ X3 @ X1) = $true)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0))))),
% 0.16/0.40 inference(ennf_transformation,[],[f7])).
% 0.16/0.40 thf(f7,plain,(
% 0.16/0.40 ! [X1,X0,X2] : (($true = (in @ X2 @ (cartprod @ X1 @ X0))) => ? [X3] : (? [X4] : (((kpair @ X3 @ X4) = X2) & ($true = (in @ X4 @ X0))) & ((in @ X3 @ X1) = $true))) <=> (cartprodmempair1 = $true)),
% 0.16/0.40 inference(fool_elimination,[],[f6])).
% 0.16/0.40 thf(f6,plain,(
% 0.16/0.40 (! [X0,X1,X2] : ((in @ X2 @ (cartprod @ X1 @ X0)) => ? [X3] : (? [X4] : ((in @ X4 @ X0) & ((kpair @ X3 @ X4) = X2)) & (in @ X3 @ X1))) = cartprodmempair1)),
% 0.16/0.40 inference(rectify,[],[f1])).
% 0.16/0.40 thf(f1,axiom,(
% 0.16/0.40 (! [X1,X0,X2] : ((in @ X2 @ (cartprod @ X0 @ X1)) => ? [X3] : (? [X4] : ((in @ X4 @ X1) & ((kpair @ X3 @ X4) = X2)) & (in @ X3 @ X0))) = cartprodmempair1)),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair1)).
% 0.16/0.40 thf(f51,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((kpair @ X6 @ X7) != (kpair @ X4 @ X5)) | (X5 = X7)) )),
% 0.16/0.40 inference(trivial_inequality_removal,[],[f43])).
% 0.16/0.40 thf(f43,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((X5 = X7) | ((kpair @ X6 @ X7) != (kpair @ X4 @ X5)) | ($true != $true)) )),
% 0.16/0.40 inference(definition_unfolding,[],[f29,f38])).
% 0.16/0.40 thf(f38,plain,(
% 0.16/0.40 (setukpairinjR = $true)),
% 0.16/0.40 inference(cnf_transformation,[],[f28])).
% 0.16/0.40 thf(f29,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((X5 = X7) | ((kpair @ X6 @ X7) != (kpair @ X4 @ X5)) | (setukpairinjR != $true)) )),
% 0.16/0.40 inference(cnf_transformation,[],[f19])).
% 0.16/0.40 thf(f19,plain,(
% 0.16/0.40 ((setukpairinjR = $true) | ((sK3 != sK1) & ((kpair @ sK0 @ sK1) = (kpair @ sK2 @ sK3)))) & (! [X4,X5,X6,X7] : ((X5 = X7) | ((kpair @ X6 @ X7) != (kpair @ X4 @ X5))) | (setukpairinjR != $true))),
% 0.16/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f17,f18])).
% 0.16/0.40 thf(f18,plain,(
% 0.16/0.40 ? [X0,X1,X2,X3] : ((X1 != X3) & ((kpair @ X2 @ X3) = (kpair @ X0 @ X1))) => ((sK3 != sK1) & ((kpair @ sK0 @ sK1) = (kpair @ sK2 @ sK3)))),
% 0.16/0.40 introduced(choice_axiom,[])).
% 0.16/0.40 thf(f17,plain,(
% 0.16/0.40 ((setukpairinjR = $true) | ? [X0,X1,X2,X3] : ((X1 != X3) & ((kpair @ X2 @ X3) = (kpair @ X0 @ X1)))) & (! [X4,X5,X6,X7] : ((X5 = X7) | ((kpair @ X6 @ X7) != (kpair @ X4 @ X5))) | (setukpairinjR != $true))),
% 0.16/0.40 inference(rectify,[],[f16])).
% 0.16/0.40 thf(f16,plain,(
% 0.16/0.40 ((setukpairinjR = $true) | ? [X0,X3,X2,X1] : ((X1 != X3) & ((kpair @ X2 @ X1) = (kpair @ X0 @ X3)))) & (! [X0,X3,X2,X1] : ((X1 = X3) | ((kpair @ X2 @ X1) != (kpair @ X0 @ X3))) | (setukpairinjR != $true))),
% 0.16/0.40 inference(nnf_transformation,[],[f15])).
% 0.16/0.40 thf(f15,plain,(
% 0.16/0.40 (setukpairinjR = $true) <=> ! [X0,X3,X2,X1] : ((X1 = X3) | ((kpair @ X2 @ X1) != (kpair @ X0 @ X3)))),
% 0.16/0.40 inference(ennf_transformation,[],[f11])).
% 0.16/0.40 thf(f11,plain,(
% 0.16/0.40 (setukpairinjR = $true) <=> ! [X2,X1,X3,X0] : (((kpair @ X2 @ X1) = (kpair @ X0 @ X3)) => (X1 = X3))),
% 0.16/0.40 inference(fool_elimination,[],[f10])).
% 0.16/0.40 thf(f10,plain,(
% 0.16/0.40 (setukpairinjR = ! [X0,X1,X2,X3] : (((kpair @ X2 @ X1) = (kpair @ X0 @ X3)) => (X1 = X3)))),
% 0.16/0.40 inference(rectify,[],[f2])).
% 0.16/0.40 thf(f2,axiom,(
% 0.16/0.40 (setukpairinjR = ! [X5,X4,X3,X2] : (((kpair @ X3 @ X4) = (kpair @ X5 @ X2)) => (X2 = X4)))),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR)).
% 0.16/0.40 thf(f57,plain,(
% 0.16/0.40 ($true = (in @ (sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) @ sK10))),
% 0.16/0.40 inference(trivial_inequality_removal,[],[f56])).
% 0.16/0.40 thf(f56,plain,(
% 0.16/0.40 ($true != $true) | ($true = (in @ (sK8 @ sK10 @ (kpair @ sK9 @ sK11) @ sK12) @ sK10))),
% 0.16/0.40 inference(superposition,[],[f52,f40])).
% 0.16/0.40 thf(f52,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true != (in @ X6 @ (cartprod @ X5 @ X7))) | ((in @ (sK8 @ X7 @ X6 @ X5) @ X7) = $true)) )),
% 0.16/0.40 inference(trivial_inequality_removal,[],[f47])).
% 0.16/0.40 thf(f47,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X5 : $i] : (((in @ (sK8 @ X7 @ X6 @ X5) @ X7) = $true) | ($true != (in @ X6 @ (cartprod @ X5 @ X7))) | ($true != $true)) )),
% 0.16/0.40 inference(definition_unfolding,[],[f33,f37])).
% 0.16/0.40 thf(f33,plain,(
% 0.16/0.40 ( ! [X6 : $i,X7 : $i,X5 : $i] : (((in @ (sK8 @ X7 @ X6 @ X5) @ X7) = $true) | ($true != (in @ X6 @ (cartprod @ X5 @ X7))) | (cartprodmempair1 != $true)) )),
% 0.16/0.40 inference(cnf_transformation,[],[f25])).
% 0.16/0.40 % SZS output end Proof for theBenchmark
% 0.16/0.40 % (8650)------------------------------
% 0.16/0.40 % (8650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8650)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (8650)Memory used [KB]: 5500
% 0.16/0.40 % (8650)Time elapsed: 0.008 s
% 0.16/0.40 % (8650)Instructions burned: 7 (million)
% 0.16/0.40 % (8650)------------------------------
% 0.16/0.40 % (8650)------------------------------
% 0.16/0.40 % (8643)Success in time 0.02 s
% 0.16/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------