%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV136^5 : 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 : n007.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 08:37:53 AM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV136^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n007.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 15:13:41 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.22 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
% 0.18/0.27 % (3485598)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.18/0.27 % (3485603)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2336308405:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.18/0.27 % (3485609)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.18/0.27 % (3485609)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
% 0.18/0.27 % (3485604)lrs+10_16_si=on:nwc=1.5:random_seed=301860440:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.18/0.27 % (3485606)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=3167556053: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)
% 0.18/0.27 % (3485605)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2823452892:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.18/0.27 % (3485608)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1948342628:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.18/0.27 % (3485607)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1681084717:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.18/0.27 % (3485609)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=3933364243:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.18/0.27 % (3485605)Instruction limit reached!
% 0.18/0.27 % (3485605)------------------------------
% 0.18/0.27 % (3485605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3485605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3485605)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3485605)Termination reason: Instruction limit
% 0.18/0.27 % (3485605)Termination phase: Saturation
% 0.18/0.27 % (3485605)Time elapsed: 0.002 s
% 0.18/0.27 % (3485605)Peak memory usage: 12 MB
% 0.18/0.27 % (3485605)Instructions burned: 3 (million)
% 0.18/0.27 % (3485604)Instruction limit reached!
% 0.18/0.27 % (3485604)------------------------------
% 0.18/0.27 % (3485604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3485604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3485604)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3485604)Termination reason: Instruction limit
% 0.18/0.27 % (3485604)Termination phase: Saturation
% 0.18/0.27 % (3485604)Time elapsed: 0.011 s
% 0.18/0.27 % (3485604)Peak memory usage: 12 MB
% 0.18/0.27 % (3485604)Instructions burned: 18 (million)
% 0.18/0.27 % (3485603) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3485598-3485603"...
% 0.18/0.27 % (3485603)...printing done.
% 0.18/0.27 % (3485607)Instruction limit reached!
% 0.18/0.27 % (3485607)------------------------------
% 0.18/0.27 % (3485607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3485607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3485607)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3485607)Termination reason: Instruction limit
% 0.18/0.27 % (3485607)Termination phase: Saturation
% 0.18/0.27 % (3485607)Time elapsed: 0.014 s
% 0.18/0.27 % (3485607)Peak memory usage: 12 MB
% 0.18/0.27 % (3485607)Instructions burned: 24 (million)
% 0.18/0.27 % (3485603)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% 0.18/0.27 thf(type_def_5, type, a: $tType).
% 0.18/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.18/0.27 thf(func_def_3, type, sK0: (a > a > $o)).
% 0.18/0.27 thf(func_def_4, type, sK1: ((a > a > $o) > a > a > $o)).
% 0.18/0.27 thf(func_def_5, type, sK2: a).
% 0.18/0.27 thf(func_def_6, type, sK3: a).
% 0.18/0.27 thf(func_def_7, type, sK4: ((a > $o) > a)).
% 0.18/0.27 thf(func_def_8, type, sK5: ((a > $o) > a)).
% 0.18/0.27 thf(func_def_9, type, vNOT: ($o > $o)).
% 0.18/0.27 thf(func_def_10, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.18/0.27 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 0.18/0.27 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.18/0.27 thf(f1,conjecture,(
% 0.18/0.27 ! [X0 : (a > a > $o),X1 : ((a > a > $o) > a > a > $o)] : ((! [X2 : a] : (X1 @ X0 @ X2 @ X2) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X1 @ X0 @ X2 @ X3)) & ! [X2 : a,X3 : a,X4 : a] : (((X1 @ X0 @ X3 @ X4) & (X1 @ X0 @ X2 @ X3)) => (X1 @ X0 @ X2 @ X4))) => ! [X3 : a,X2 : a] : (! [X5 : (a > $o)] : (! [X4 : a,X6 : a] : (((X5 @ X6) & (X0 @ X6 @ X4)) => (X5 @ X4)) => ((X5 @ X2) => (X5 @ X3))) => (X1 @ X0 @ X2 @ X3)))),
% 0.18/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM203_pme)).
% 0.18/0.27 thf(f2,negated_conjecture,(
% 0.18/0.27 ~ ! [X0 : (a > a > $o),X1 : ((a > a > $o) > a > a > $o)] : ((! [X2 : a] : (X1 @ X0 @ X2 @ X2) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X1 @ X0 @ X2 @ X3)) & ! [X2 : a,X3 : a,X4 : a] : (((X1 @ X0 @ X3 @ X4) & (X1 @ X0 @ X2 @ X3)) => (X1 @ X0 @ X2 @ X4))) => ! [X3 : a,X2 : a] : (! [X5 : (a > $o)] : (! [X4 : a,X6 : a] : (((X5 @ X6) & (X0 @ X6 @ X4)) => (X5 @ X4)) => ((X5 @ X2) => (X5 @ X3))) => (X1 @ X0 @ X2 @ X3)))),
% 0.18/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.27 thf(f3,plain,(
% 0.18/0.27 ~ ! [X0 : (a > a > $o),X1 : ((a > a > $o) > a > a > $o)] : ((! [X2 : a] : (X1 @ X0 @ X2 @ X2) & ! [X3 : a,X4 : a] : ((X0 @ X4 @ X3) => (X1 @ X0 @ X4 @ X3)) & ! [X5 : a,X6 : a,X7 : a] : (((X1 @ X0 @ X6 @ X7) & (X1 @ X0 @ X5 @ X6)) => (X1 @ X0 @ X5 @ X7))) => ! [X8 : a,X9 : a] : (! [X10 : (a > $o)] : (! [X11 : a,X12 : a] : (((X10 @ X12) & (X0 @ X12 @ X11)) => (X10 @ X11)) => ((X10 @ X9) => (X10 @ X8))) => (X1 @ X0 @ X9 @ X8)))),
% 0.18/0.27 inference(rectify,[],[f2])).
% 0.18/0.27 thf(f4,plain,(
% 0.18/0.27 ~ ! [X1 : ((a > a > $o) > a > a > $o),X0 : (a > a > $o)] : ((! [X7 : a,X6 : a,X5 : a] : (((((X1 @ X0 @ X6 @ X7)) = $true) & (((X1 @ X0 @ X5 @ X6)) = $true)) => (((X1 @ X0 @ X5 @ X7)) = $true)) & ! [X3 : a,X4 : a] : (($true = ((X0 @ X4 @ X3))) => (((X1 @ X0 @ X4 @ X3)) = $true)) & ! [X2 : a] : (((X1 @ X0 @ X2 @ X2)) = $true)) => ! [X9 : a,X8 : a] : (! [X10 : (a > $o)] : (! [X12 : a,X11 : a] : ((($true = ((X10 @ X12))) & ($true = ((X0 @ X12 @ X11)))) => (((X10 @ X11)) = $true)) => (($true = ((X10 @ X9))) => ($true = ((X10 @ X8))))) => ($true = ((X1 @ X0 @ X9 @ X8)))))),
% 0.18/0.27 inference(fool_elimination,[],[f3])).
% 0.18/0.27 thf(f5,plain,(
% 0.18/0.27 ? [X1 : ((a > a > $o) > a > a > $o),X0 : (a > a > $o)] : (? [X9 : a,X8 : a] : (($true != ((X1 @ X0 @ X9 @ X8))) & ! [X10 : (a > $o)] : ((($true = ((X10 @ X8))) | ($true != ((X10 @ X9)))) | ? [X12 : a,X11 : a] : ((((X10 @ X11)) != $true) & (($true = ((X10 @ X12))) & ($true = ((X0 @ X12 @ X11))))))) & (! [X7 : a,X6 : a,X5 : a] : ((((X1 @ X0 @ X5 @ X7)) = $true) | ((((X1 @ X0 @ X6 @ X7)) != $true) | (((X1 @ X0 @ X5 @ X6)) != $true))) & ! [X3 : a,X4 : a] : (($true != ((X0 @ X4 @ X3))) | (((X1 @ X0 @ X4 @ X3)) = $true)) & ! [X2 : a] : (((X1 @ X0 @ X2 @ X2)) = $true)))),
% 0.18/0.27 inference(ennf_transformation,[],[f4])).
% 0.18/0.27 thf(f6,plain,(
% 0.18/0.27 ? [X0 : (a > a > $o),X1 : ((a > a > $o) > a > a > $o)] : (! [X6 : a,X7 : a,X5 : a] : ((((X1 @ X0 @ X5 @ X6)) != $true) | (((X1 @ X0 @ X5 @ X7)) = $true) | (((X1 @ X0 @ X6 @ X7)) != $true)) & ? [X8 : a,X9 : a] : (($true != ((X1 @ X0 @ X9 @ X8))) & ! [X10 : (a > $o)] : (($true != ((X10 @ X9))) | ($true = ((X10 @ X8))) | ? [X12 : a,X11 : a] : (($true = ((X0 @ X12 @ X11))) & ($true = ((X10 @ X12))) & (((X10 @ X11)) != $true)))) & ! [X2 : a] : (((X1 @ X0 @ X2 @ X2)) = $true) & ! [X3 : a,X4 : a] : (($true != ((X0 @ X4 @ X3))) | (((X1 @ X0 @ X4 @ X3)) = $true)))),
% 0.18/0.27 inference(flattening,[],[f5])).
% 0.18/0.27 thf(f7,plain,(
% 0.18/0.27 ? [X0 : (a > a > $o),X1 : ((a > a > $o) > a > a > $o)] : (! [X2 : a,X3 : a,X4 : a] : (($true != ((X1 @ X0 @ X4 @ X2))) | (((X1 @ X0 @ X4 @ X3)) = $true) | (((X1 @ X0 @ X2 @ X3)) != $true)) & ? [X5 : a,X6 : a] : (($true != ((X1 @ X0 @ X6 @ X5))) & ! [X7 : (a > $o)] : ((((X7 @ X6)) != $true) | (((X7 @ X5)) = $true) | ? [X8 : a,X9 : a] : ((((X0 @ X8 @ X9)) = $true) & (((X7 @ X8)) = $true) & (((X7 @ X9)) != $true)))) & ! [X10 : a] : ($true = ((X1 @ X0 @ X10 @ X10))) & ! [X11 : a,X12 : a] : (($true != ((X0 @ X12 @ X11))) | (((X1 @ X0 @ X12 @ X11)) = $true)))),
% 0.18/0.27 inference(rectify,[],[f6])).
% 0.18/0.27 thf(f8,plain,(
% 0.18/0.27 ! [X2 : a,X3 : a,X4 : a] : ((((sK1 @ sK0 @ X4 @ X2)) != $true) | ($true = ((sK1 @ sK0 @ X4 @ X3))) | ($true != ((sK1 @ sK0 @ X2 @ X3)))) & ((((sK1 @ sK0 @ sK3 @ sK2)) != $true) & ! [X7 : (a > $o)] : (($true != ((X7 @ sK3))) | (((X7 @ sK2)) = $true) | ((((sK0 @ (sK4 @ X7) @ (sK5 @ X7))) = $true) & (((X7 @ (sK4 @ X7))) = $true) & (((X7 @ (sK5 @ X7))) != $true)))) & ! [X10 : a] : (((sK1 @ sK0 @ X10 @ X10)) = $true) & ! [X11 : a,X12 : a] : (($true != ((sK0 @ X12 @ X11))) | (((sK1 @ sK0 @ X12 @ X11)) = $true))),
% 0.18/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X5,sK2),skolemize(X6,sK3),skolemize(X9,sK5 @ X7),skolemize(X9,sK5 @ X7)],[f7])).
% 0.18/0.27 thf(f9,plain,(
% 0.18/0.27 ( ! [X11 : a,X12 : a] : (($true != ((sK0 @ X12 @ X11))) | (((sK1 @ sK0 @ X12 @ X11)) = $true)) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f10,plain,(
% 0.18/0.27 ( ! [X10 : a] : ((((sK1 @ sK0 @ X10 @ X10)) = $true)) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f11,plain,(
% 0.18/0.27 ( ! [X7 : (a > $o)] : ((((X7 @ (sK5 @ X7))) != $true) | (((X7 @ sK2)) = $true) | ($true != ((X7 @ sK3)))) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f12,plain,(
% 0.18/0.27 ( ! [X7 : (a > $o)] : (($true != ((X7 @ sK3))) | (((X7 @ sK2)) = $true) | (((X7 @ (sK4 @ X7))) = $true)) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f13,plain,(
% 0.18/0.27 ( ! [X7 : (a > $o)] : (($true != ((X7 @ sK3))) | (((sK0 @ (sK4 @ X7) @ (sK5 @ X7))) = $true) | (((X7 @ sK2)) = $true)) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f14,plain,(
% 0.18/0.27 (((sK1 @ sK0 @ sK3 @ sK2)) != $true)),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f15,plain,(
% 0.18/0.27 ( ! [X2 : a,X3 : a,X4 : a] : (($true != ((sK1 @ sK0 @ X2 @ X3))) | (((sK1 @ sK0 @ X4 @ X2)) != $true) | ($true = ((sK1 @ sK0 @ X4 @ X3)))) )),
% 0.18/0.27 inference(cnf_transformation,[],[f8])).
% 0.18/0.27 thf(f54,plain,(
% 0.18/0.27 ($true = ((sK1 @ sK0 @ sK3 @ (sK4 @ (sK1 @ sK0 @ sK3))))) | ($true != $true) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(constrained_superposition,[],[f12,f10])).
% 0.18/0.27 thf(f65,plain,(
% 0.18/0.27 ($true = ((sK1 @ sK0 @ sK3 @ (sK4 @ (sK1 @ sK0 @ sK3))))) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f54])).
% 0.18/0.27 thf(f70,plain,(
% 0.18/0.27 ($true = ((sK1 @ sK0 @ sK3 @ (sK4 @ (sK1 @ sK0 @ sK3)))))),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f65,f14])).
% 0.18/0.27 thf(f80,plain,(
% 0.18/0.27 ($true != $true) | (((sK0 @ (sK4 @ (sK1 @ sK0 @ sK3)) @ (sK5 @ (sK1 @ sK0 @ sK3)))) = $true) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(constrained_superposition,[],[f13,f10])).
% 0.18/0.27 thf(f82,plain,(
% 0.18/0.27 (((sK0 @ (sK4 @ (sK1 @ sK0 @ sK3)) @ (sK5 @ (sK1 @ sK0 @ sK3)))) = $true) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f80])).
% 0.18/0.27 thf(f88,plain,(
% 0.18/0.27 (((sK0 @ (sK4 @ (sK1 @ sK0 @ sK3)) @ (sK5 @ (sK1 @ sK0 @ sK3)))) = $true)),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f82,f14])).
% 0.18/0.27 thf(f176,plain,(
% 0.18/0.27 ($true = ((sK1 @ sK0 @ (sK4 @ (sK1 @ sK0 @ sK3)) @ (sK5 @ (sK1 @ sK0 @ sK3))))) | ($true != $true)),
% 0.18/0.27 inference(constrained_superposition,[],[f9,f88])).
% 0.18/0.27 thf(f177,plain,(
% 0.18/0.27 ($true = ((sK1 @ sK0 @ (sK4 @ (sK1 @ sK0 @ sK3)) @ (sK5 @ (sK1 @ sK0 @ sK3)))))),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f176])).
% 0.18/0.27 thf(f195,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true = ((sK1 @ sK0 @ X0 @ (sK5 @ (sK1 @ sK0 @ sK3))))) | (((sK1 @ sK0 @ X0 @ (sK4 @ (sK1 @ sK0 @ sK3)))) != $true) | ($true != $true)) )),
% 0.18/0.27 inference(constrained_superposition,[],[f15,f177])).
% 0.18/0.27 thf(f205,plain,(
% 0.18/0.27 ( ! [X0 : a] : ((((sK1 @ sK0 @ X0 @ (sK4 @ (sK1 @ sK0 @ sK3)))) != $true) | ($true = ((sK1 @ sK0 @ X0 @ (sK5 @ (sK1 @ sK0 @ sK3)))))) )),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f195])).
% 0.18/0.27 thf(f957,plain,(
% 0.18/0.27 (((sK1 @ sK0 @ sK3 @ (sK5 @ (sK1 @ sK0 @ sK3)))) = $true) | ($true != $true)),
% 0.18/0.27 inference(constrained_superposition,[],[f205,f70])).
% 0.18/0.27 thf(f963,plain,(
% 0.18/0.27 (((sK1 @ sK0 @ sK3 @ (sK5 @ (sK1 @ sK0 @ sK3)))) = $true)),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f957])).
% 0.18/0.27 thf(f971,plain,(
% 0.18/0.27 ($true != $true) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true) | (((sK1 @ sK0 @ sK3 @ sK3)) != $true)),
% 0.18/0.27 inference(constrained_superposition,[],[f11,f963])).
% 0.18/0.27 thf(f976,plain,(
% 0.18/0.27 (((sK1 @ sK0 @ sK3 @ sK3)) != $true) | (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f971])).
% 0.18/0.27 thf(f982,plain,(
% 0.18/0.27 (((sK1 @ sK0 @ sK3 @ sK2)) = $true)),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f976,f10])).
% 0.18/0.27 thf(f990,plain,(
% 0.18/0.27 $false),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f982,f14])).
% 0.18/0.27 % SZS output end Proof for theBenchmark
% 0.18/0.27 % (3485603)------------------------------
% 0.18/0.27 % (3485603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3485603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3485603)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3485603)Termination reason: Refutation
% 0.18/0.27 % (3485603)Time elapsed: 0.022 s
% 0.18/0.27 % (3485603)Peak memory usage: 13 MB
% 0.18/0.27 % (3485603)Instructions burned: 68 (million)
% 0.18/0.27 % (3485598)Success in time 0.049 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------