%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV094^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:37:38 AM UTC 2026
% Result : Theorem 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV094^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n011.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 15:10:02 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 Running higher-order theorem proving
% 0.10/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.36 % (199075)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.26/0.36 % (199089)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.26/0.36 % (199089)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
% 0.26/0.36 % (199089)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=3353639451:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.26/0.36 % (199087)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3311163980:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.26/0.36 % (199084)lrs+10_16_si=on:nwc=1.5:random_seed=703863843:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.26/0.36 % (199085)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3716765586:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.26/0.36 % (199086)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=1439456257: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)
% 0.26/0.36 % (199083)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1728300252:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.26/0.36 % (199088)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2142606487:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.26/0.36 % (199085)Instruction limit reached!
% 0.26/0.36 % (199085)------------------------------
% 0.26/0.36 % (199085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (199085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (199085)CaDiCaL version: 2.1.3
% 0.26/0.36 % (199085)Termination reason: Instruction limit
% 0.26/0.36 % (199085)Termination phase: Saturation
% 0.26/0.36 % (199085)Time elapsed: 0.004 s
% 0.26/0.36 % (199085)Peak memory usage: 12 MB
% 0.26/0.36 % (199085)Instructions burned: 3 (million)
% 0.26/0.36 % (199087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-199075-199087"...
% 0.26/0.36 % (199087)...printing done.
% 0.26/0.36 % (199087)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Theorem for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% 0.26/0.36 thf(type_def_5, type, a: $tType).
% 0.26/0.36 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.26/0.36 thf(func_def_3, type, sK0: (a > $o)).
% 0.26/0.36 thf(func_def_4, type, sK1: (a > $o)).
% 0.26/0.36 thf(func_def_5, type, sK2: (a > a)).
% 0.26/0.36 thf(func_def_6, type, sK3: (a > a)).
% 0.26/0.36 thf(func_def_7, type, sK4: ((a > a) > a)).
% 0.26/0.36 thf(func_def_8, type, sK5: ((a > a) > a)).
% 0.26/0.36 thf(func_def_9, type, sK6: (a > (a > a) > a)).
% 0.26/0.36 thf(f1,conjecture,(
% 0.26/0.36 ! [X0 : (a > $o),X1 : (a > $o)] : (? [X2 : (a > a)] : (! [X3 : a] : ((X0 @ X3) => (X1 @ (X2 @ X3))) & ! [X4 : a] : ((X1 @ X4) => ? [X3 : a] : ((X0 @ X3) & ! [X5 : a] : (((X0 @ X5) & (X4 = ((X2 @ X5)))) => (X5 = X3)) & (X4 = ((X2 @ X3)))))) => ? [X2 : (a > a)] : (! [X3 : a] : ((X1 @ X3) => (X0 @ (X2 @ X3))) & ! [X4 : a] : ((X0 @ X4) => ? [X3 : a] : ((X4 = ((X2 @ X3))) & (X1 @ X3) & ! [X5 : a] : (((X1 @ X5) & (X4 = ((X2 @ X5)))) => (X5 = X3))))))),
% 0.26/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQP1_1B_pme)).
% 0.26/0.36 thf(f2,negated_conjecture,(
% 0.26/0.36 ~ ! [X0 : (a > $o),X1 : (a > $o)] : (? [X2 : (a > a)] : (! [X3 : a] : ((X0 @ X3) => (X1 @ (X2 @ X3))) & ! [X4 : a] : ((X1 @ X4) => ? [X3 : a] : ((X0 @ X3) & ! [X5 : a] : (((X0 @ X5) & (X4 = ((X2 @ X5)))) => (X5 = X3)) & (X4 = ((X2 @ X3)))))) => ? [X2 : (a > a)] : (! [X3 : a] : ((X1 @ X3) => (X0 @ (X2 @ X3))) & ! [X4 : a] : ((X0 @ X4) => ? [X3 : a] : ((X4 = ((X2 @ X3))) & (X1 @ X3) & ! [X5 : a] : (((X1 @ X5) & (X4 = ((X2 @ X5)))) => (X5 = X3))))))),
% 0.26/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.26/0.36 thf(f3,plain,(
% 0.26/0.36 ~ ! [X0 : (a > $o),X1 : (a > $o)] : (? [X2 : (a > a)] : (! [X3 : a] : ((X0 @ X3) => (X1 @ (X2 @ X3))) & ! [X4 : a] : ((X1 @ X4) => ? [X5 : a] : ((X0 @ X5) & ! [X6 : a] : (((X0 @ X6) & (((X2 @ X6)) = X4)) => (X5 = X6)) & (((X2 @ X5)) = X4)))) => ? [X7 : (a > a)] : (! [X8 : a] : ((X1 @ X8) => (X0 @ (X7 @ X8))) & ! [X9 : a] : ((X0 @ X9) => ? [X10 : a] : ((((X7 @ X10)) = X9) & (X1 @ X10) & ! [X11 : a] : (((X1 @ X11) & (((X7 @ X11)) = X9)) => (X10 = X11))))))),
% 0.26/0.36 inference(rectify,[],[f2])).
% 0.26/0.36 thf(f4,plain,(
% 0.26/0.36 ~ ! [X1 : (a > $o),X0 : (a > $o)] : (? [X2 : (a > a)] : (! [X4 : a] : ((((X1 @ X4)) = $true) => ? [X5 : a] : (! [X6 : a] : (((((X2 @ X6)) = X4) & (((X0 @ X6)) = $true)) => (X5 = X6)) & (((X2 @ X5)) = X4) & (((X0 @ X5)) = $true))) & ! [X3 : a] : ((((X0 @ X3)) = $true) => (((X1 @ (X2 @ X3))) = $true))) => ? [X7 : (a > a)] : (! [X8 : a] : ((((X1 @ X8)) = $true) => ($true = ((X0 @ (X7 @ X8))))) & ! [X9 : a] : ((((X0 @ X9)) = $true) => ? [X10 : a] : ((((X7 @ X10)) = X9) & ! [X11 : a] : (((((X7 @ X11)) = X9) & ($true = ((X1 @ X11)))) => (X10 = X11)) & (((X1 @ X10)) = $true)))))),
% 0.26/0.36 inference(fool_elimination,[],[f3])).
% 0.26/0.36 thf(f5,plain,(
% 0.26/0.36 ? [X1 : (a > $o),X0 : (a > $o)] : (! [X7 : (a > a)] : (? [X8 : a] : ((((X1 @ X8)) = $true) & ($true != ((X0 @ (X7 @ X8))))) | ? [X9 : a] : (! [X10 : a] : ((((X7 @ X10)) != X9) | ? [X11 : a] : ((X10 != X11) & ((((X7 @ X11)) = X9) & ($true = ((X1 @ X11))))) | (((X1 @ X10)) != $true)) & (((X0 @ X9)) = $true))) & ? [X2 : (a > a)] : (! [X4 : a] : (? [X5 : a] : (! [X6 : a] : ((X5 = X6) | ((((X2 @ X6)) != X4) | (((X0 @ X6)) != $true))) & (((X2 @ X5)) = X4) & (((X0 @ X5)) = $true)) | (((X1 @ X4)) != $true)) & ! [X3 : a] : ((((X0 @ X3)) != $true) | (((X1 @ (X2 @ X3))) = $true))))),
% 0.26/0.36 inference(ennf_transformation,[],[f4])).
% 0.26/0.36 thf(f6,plain,(
% 0.26/0.36 ? [X1 : (a > $o),X0 : (a > $o)] : (? [X2 : (a > a)] : (! [X4 : a] : (? [X5 : a] : ((((X0 @ X5)) = $true) & (((X2 @ X5)) = X4) & ! [X6 : a] : ((((X0 @ X6)) != $true) | (((X2 @ X6)) != X4) | (X5 = X6))) | (((X1 @ X4)) != $true)) & ! [X3 : a] : ((((X0 @ X3)) != $true) | (((X1 @ (X2 @ X3))) = $true))) & ! [X7 : (a > a)] : (? [X8 : a] : ((((X1 @ X8)) = $true) & ($true != ((X0 @ (X7 @ X8))))) | ? [X9 : a] : ((((X0 @ X9)) = $true) & ! [X10 : a] : ((((X1 @ X10)) != $true) | ? [X11 : a] : (($true = ((X1 @ X11))) & (((X7 @ X11)) = X9) & (X10 != X11)) | (((X7 @ X10)) != X9)))))),
% 0.26/0.36 inference(flattening,[],[f5])).
% 0.26/0.36 thf(f7,plain,(
% 0.26/0.36 ? [X0 : (a > $o),X1 : (a > $o)] : (? [X2 : (a > a)] : (! [X3 : a] : (? [X4 : a] : ((((X1 @ X4)) = $true) & (((X2 @ X4)) = X3) & ! [X5 : a] : ((((X1 @ X5)) != $true) | (((X2 @ X5)) != X3) | (X4 = X5))) | (((X0 @ X3)) != $true)) & ! [X6 : a] : ((((X1 @ X6)) != $true) | (((X0 @ (X2 @ X6))) = $true))) & ! [X7 : (a > a)] : (? [X8 : a] : ((((X0 @ X8)) = $true) & (((X1 @ (X7 @ X8))) != $true)) | ? [X9 : a] : ((((X1 @ X9)) = $true) & ! [X10 : a] : ((((X0 @ X10)) != $true) | ? [X11 : a] : ((((X0 @ X11)) = $true) & (((X7 @ X11)) = X9) & (X10 != X11)) | (((X7 @ X10)) != X9)))))),
% 0.26/0.36 inference(rectify,[],[f6])).
% 0.26/0.36 thf(f8,plain,(
% 0.26/0.36 (! [X3 : a] : (((((sK1 @ (sK3 @ X3))) = $true) & (((sK2 @ (sK3 @ X3))) = X3) & ! [X5 : a] : (($true != ((sK1 @ X5))) | (((sK2 @ X5)) != X3) | (((sK3 @ X3)) = X5))) | (((sK0 @ X3)) != $true)) & ! [X6 : a] : ((((sK1 @ X6)) != $true) | (((sK0 @ (sK2 @ X6))) = $true))) & ! [X7 : (a > a)] : (((((sK0 @ (sK4 @ X7))) = $true) & ($true != ((sK1 @ (X7 @ (sK4 @ X7)))))) | ((((sK1 @ (sK5 @ X7))) = $true) & ! [X10 : a] : ((((sK0 @ X10)) != $true) | ((((sK0 @ (sK6 @ X10 @ X7))) = $true) & (((sK5 @ X7)) = ((X7 @ (sK6 @ X10 @ X7)))) & (((sK6 @ X10 @ X7)) != X10)) | (((sK5 @ X7)) != ((X7 @ X10))))))),
% 0.26/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,vAPP,vAPP,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X11,sK6 @ X10 @ X7),skolemize(X11,sK6 @ X10 @ X7),skolemize(X11,sK6 @ X10 @ X7),skolemize(X11,sK6 @ X10 @ X7)],[f7])).
% 0.26/0.36 thf(f9,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : ((((sK6 @ X10 @ X7)) != X10) | ($true != ((sK1 @ (X7 @ (sK4 @ X7))))) | (((sK0 @ X10)) != $true) | (((sK5 @ X7)) != ((X7 @ X10)))) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f10,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : ((((sK5 @ X7)) = ((X7 @ (sK6 @ X10 @ X7)))) | (((sK0 @ X10)) != $true) | ($true != ((sK1 @ (X7 @ (sK4 @ X7))))) | (((sK5 @ X7)) != ((X7 @ X10)))) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f11,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : (($true != ((sK1 @ (X7 @ (sK4 @ X7))))) | (((sK5 @ X7)) != ((X7 @ X10))) | (((sK0 @ (sK6 @ X10 @ X7))) = $true) | (((sK0 @ X10)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f12,plain,(
% 0.26/0.36 ( ! [X7 : (a > a)] : (($true != ((sK1 @ (X7 @ (sK4 @ X7))))) | (((sK1 @ (sK5 @ X7))) = $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f13,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : ((((sK6 @ X10 @ X7)) != X10) | (((sK0 @ (sK4 @ X7))) = $true) | (((sK5 @ X7)) != ((X7 @ X10))) | (((sK0 @ X10)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f14,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : ((((sK5 @ X7)) = ((X7 @ (sK6 @ X10 @ X7)))) | (((sK5 @ X7)) != ((X7 @ X10))) | (((sK0 @ X10)) != $true) | (((sK0 @ (sK4 @ X7))) = $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f15,plain,(
% 0.26/0.36 ( ! [X10 : a,X7 : (a > a)] : ((((sK0 @ (sK6 @ X10 @ X7))) = $true) | (((sK5 @ X7)) != ((X7 @ X10))) | (((sK0 @ X10)) != $true) | (((sK0 @ (sK4 @ X7))) = $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f16,plain,(
% 0.26/0.36 ( ! [X7 : (a > a)] : ((((sK1 @ (sK5 @ X7))) = $true) | (((sK0 @ (sK4 @ X7))) = $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f17,plain,(
% 0.26/0.36 ( ! [X6 : a] : ((((sK0 @ (sK2 @ X6))) = $true) | (((sK1 @ X6)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f18,plain,(
% 0.26/0.36 ( ! [X3 : a,X5 : a] : (($true != ((sK1 @ X5))) | (((sK2 @ X5)) != X3) | (((sK3 @ X3)) = X5) | (((sK0 @ X3)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f19,plain,(
% 0.26/0.36 ( ! [X3 : a] : ((((sK2 @ (sK3 @ X3))) = X3) | (((sK0 @ X3)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f20,plain,(
% 0.26/0.36 ( ! [X3 : a] : ((((sK1 @ (sK3 @ X3))) = $true) | (((sK0 @ X3)) != $true)) )),
% 0.26/0.36 inference(cnf_transformation,[],[f8])).
% 0.26/0.36 thf(f22,plain,(
% 0.26/0.36 ( ! [X5 : a] : (($true != ((sK1 @ X5))) | (((sK0 @ (sK2 @ X5))) != $true) | (((sK3 @ (sK2 @ X5))) = X5)) )),
% 0.26/0.36 inference(equality_resolution,[],[f18])).
% 0.26/0.36 thf(f24,plain,(
% 0.26/0.36 ( ! [X5 : a] : ((((sK3 @ (sK2 @ X5))) = X5) | ($true != ((sK1 @ X5)))) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f22,f17])).
% 0.26/0.36 thf(f26,plain,(
% 0.26/0.36 ($true != $true) | (((sK1 @ (sK5 @ sK3))) = $true) | ($true != ((sK0 @ (sK4 @ sK3))))),
% 0.26/0.36 inference(superposition,[],[f12,f20])).
% 0.26/0.36 thf(f27,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) = $true) | ($true != ((sK0 @ (sK4 @ sK3))))),
% 0.26/0.36 inference(trivial_inequality_removal,[],[f26])).
% 0.26/0.36 thf(f28,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) = $true)),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f27,f16])).
% 0.26/0.36 thf(f37,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK3 @ X0)) != ((sK5 @ sK3))) | ($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | (((sK0 @ X0)) != $true) | (((sK6 @ X0 @ sK3)) = ((sK2 @ (sK5 @ sK3)))) | ($true = ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(superposition,[],[f19,f14])).
% 0.26/0.36 thf(f38,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK6 @ X0 @ sK3)) = ((sK2 @ (sK5 @ sK3)))) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true)) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f37,f15])).
% 0.26/0.36 thf(f44,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK0 @ X0)) != $true) | (((sK0 @ X0)) != $true) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK2 @ (sK5 @ sK3))) != X0) | (((sK3 @ X0)) != ((sK5 @ sK3)))) )),
% 0.26/0.36 inference(superposition,[],[f13,f38])).
% 0.26/0.36 thf(f47,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true) | (((sK2 @ (sK5 @ sK3))) != X0) | ($true = ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(duplicate_literal_removal,[],[f44])).
% 0.26/0.36 thf(f54,plain,(
% 0.26/0.36 ( ! [X0 : a] : (($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | (((sK6 @ X0 @ sK3)) = ((sK2 @ (sK5 @ sK3)))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true) | (((sK1 @ (sK3 @ (sK4 @ sK3)))) != $true)) )),
% 0.26/0.36 inference(superposition,[],[f19,f10])).
% 0.26/0.36 thf(f56,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK6 @ X0 @ sK3)) = ((sK2 @ (sK5 @ sK3)))) | (((sK1 @ (sK3 @ (sK4 @ sK3)))) != $true) | (((sK0 @ X0)) != $true) | (((sK3 @ X0)) != ((sK5 @ sK3)))) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f54,f11])).
% 0.26/0.36 thf(f59,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK6 @ X0 @ sK3)) != ((sK2 @ (sK5 @ sK3)))) | ($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | ($true = ((sK0 @ (sK4 @ sK3)))) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK5 @ sK3)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true)) )),
% 0.26/0.36 inference(superposition,[],[f47,f14])).
% 0.26/0.36 thf(f60,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK3 @ X0)) != ((sK5 @ sK3))) | ($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK6 @ X0 @ sK3)) != ((sK2 @ (sK5 @ sK3)))) | (((sK5 @ sK3)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true)) )),
% 0.26/0.36 inference(duplicate_literal_removal,[],[f59])).
% 0.26/0.36 thf(f61,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK6 @ X0 @ sK3)) != ((sK2 @ (sK5 @ sK3)))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | ($true = ((sK0 @ (sK4 @ sK3)))) | ($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | (((sK0 @ X0)) != $true)) )),
% 0.26/0.36 inference(trivial_inequality_removal,[],[f60])).
% 0.26/0.36 thf(f64,plain,(
% 0.26/0.36 ( ! [X0 : a] : (($true != ((sK0 @ (sK6 @ X0 @ sK3)))) | (((sK0 @ X0)) != $true) | (((sK3 @ X0)) != ((sK5 @ sK3))) | ($true = ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f61,f38])).
% 0.26/0.36 thf(f66,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true) | ($true = ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f64,f15])).
% 0.26/0.36 thf(f68,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | ($true != ((sK0 @ (sK2 @ X0)))) | (((sK5 @ sK3)) != X0) | ($true = ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(superposition,[],[f66,f24])).
% 0.26/0.36 thf(f74,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK5 @ sK3)) != X0) | ($true = ((sK0 @ (sK4 @ sK3)))) | (((sK1 @ X0)) != $true)) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f68,f17])).
% 0.26/0.36 thf(f76,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) != $true) | ($true = ((sK0 @ (sK4 @ sK3))))),
% 0.26/0.36 inference(equality_resolution,[],[f74])).
% 0.26/0.36 thf(f77,plain,(
% 0.26/0.36 ($true = ((sK0 @ (sK4 @ sK3))))),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f76,f16])).
% 0.26/0.36 thf(f82,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK0 @ X0)) != $true) | (((sK1 @ (sK3 @ (sK4 @ sK3)))) != $true) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK2 @ (sK5 @ sK3))) != X0) | (((sK0 @ X0)) != $true) | (((sK1 @ (sK3 @ (sK4 @ sK3)))) != $true)) )),
% 0.26/0.36 inference(superposition,[],[f9,f56])).
% 0.26/0.36 thf(f87,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK1 @ (sK3 @ (sK4 @ sK3)))) != $true) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true) | (((sK2 @ (sK5 @ sK3))) != X0)) )),
% 0.26/0.36 inference(duplicate_literal_removal,[],[f82])).
% 0.26/0.36 thf(f90,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK2 @ (sK5 @ sK3))) != X0) | ($true != $true) | ($true != ((sK0 @ (sK4 @ sK3)))) | (((sK0 @ X0)) != $true) | (((sK3 @ X0)) != ((sK5 @ sK3)))) )),
% 0.26/0.36 inference(superposition,[],[f87,f20])).
% 0.26/0.36 thf(f91,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true) | (((sK2 @ (sK5 @ sK3))) != X0) | ($true != ((sK0 @ (sK4 @ sK3))))) )),
% 0.26/0.36 inference(trivial_inequality_removal,[],[f90])).
% 0.26/0.36 thf(f92,plain,(
% 0.26/0.36 ( ! [X0 : a] : ((((sK2 @ (sK5 @ sK3))) != X0) | (((sK3 @ X0)) != ((sK5 @ sK3))) | (((sK0 @ X0)) != $true)) )),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f91,f77])).
% 0.26/0.36 thf(f94,plain,(
% 0.26/0.36 (((sK0 @ (sK2 @ (sK5 @ sK3)))) != $true) | (((sK5 @ sK3)) != ((sK3 @ (sK2 @ (sK5 @ sK3)))))),
% 0.26/0.36 inference(equality_resolution,[],[f92])).
% 0.26/0.36 thf(f95,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) != $true) | (((sK5 @ sK3)) != ((sK3 @ (sK2 @ (sK5 @ sK3))))) | ($true != $true)),
% 0.26/0.36 inference(superposition,[],[f94,f17])).
% 0.26/0.36 thf(f96,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) != $true) | (((sK5 @ sK3)) != ((sK3 @ (sK2 @ (sK5 @ sK3)))))),
% 0.26/0.36 inference(trivial_inequality_removal,[],[f95])).
% 0.26/0.36 thf(f97,plain,(
% 0.26/0.36 (((sK5 @ sK3)) != ((sK3 @ (sK2 @ (sK5 @ sK3)))))),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f96,f28])).
% 0.26/0.36 thf(f98,plain,(
% 0.26/0.36 (((sK5 @ sK3)) != ((sK5 @ sK3))) | (((sK1 @ (sK5 @ sK3))) != $true)),
% 0.26/0.36 inference(superposition,[],[f97,f24])).
% 0.26/0.36 thf(f99,plain,(
% 0.26/0.36 (((sK1 @ (sK5 @ sK3))) != $true)),
% 0.26/0.36 inference(trivial_inequality_removal,[],[f98])).
% 0.26/0.36 thf(f100,plain,(
% 0.26/0.36 $false),
% 0.26/0.36 inference(forward_subsumption_resolution,[],[f99,f28])).
% 0.26/0.36 % SZS output end Proof for theBenchmark
% 0.26/0.36 % (199087)------------------------------
% 0.26/0.36 % (199087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (199087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (199087)CaDiCaL version: 2.1.3
% 0.26/0.36 % (199087)Termination reason: Refutation
% 0.26/0.36 % (199087)Time elapsed: 0.010 s
% 0.26/0.36 % (199087)Peak memory usage: 12 MB
% 0.26/0.36 % (199087)Instructions burned: 16 (million)
% 0.26/0.36 % (199075)Success in time 0.047 s
% 0.26/0.36 % Vampire exiting
%------------------------------------------------------------------------------