%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO384^5 : 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 : 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 08:47:34 AM UTC 2026
% Result : Theorem 0.12s 0.28s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO384^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n004.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 16:49:52 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running higher-order theorem proving
% 0.12/0.23 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
% 0.12/0.28 % (1551132)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.12/0.28 % (1551141)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3781705315:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.12/0.28 % (1551141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1551132-1551141"...
% 0.12/0.28 % (1551143)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.12/0.28 % (1551143)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
% 0.12/0.28 % (1551141)...printing done.
% 0.12/0.28 % (1551141)Refutation found. Thanks to Tanya!
% 0.12/0.28 % SZS status Theorem for theBenchmark
% 0.12/0.28 % SZS output start Proof for theBenchmark
% 0.12/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.12/0.28 thf(func_def_0, type, cD: ($i > $i > $i > $o)).
% 0.12/0.28 thf(func_def_1, type, cF: ($i > $i > $o)).
% 0.12/0.28 thf(func_def_2, type, cS: ($i > $i > $o)).
% 0.12/0.28 thf(func_def_6, type, sK0: ($i > $i)).
% 0.12/0.28 thf(func_def_8, type, sK2: ($i > $i)).
% 0.12/0.28 thf(func_def_9, type, sK3: ($i > $i > $i)).
% 0.12/0.28 thf(func_def_11, type, sK5: ($i > $i)).
% 0.12/0.28 thf(func_def_12, type, sK6: ($i > $i)).
% 0.12/0.28 thf(func_def_13, type, sK7: ($i > $i)).
% 0.12/0.28 thf(func_def_14, type, sK8: ($i > $i)).
% 0.12/0.28 thf(func_def_16, type, sK10: ($i > $i)).
% 0.12/0.28 thf(func_def_17, type, sK11: ($i > $i)).
% 0.12/0.28 thf(func_def_18, type, sK12: ($i > $i > $i)).
% 0.12/0.28 thf(func_def_19, type, sK13: ($i > $i > $i)).
% 0.12/0.28 thf(func_def_20, type, sK14: ($i > $i)).
% 0.12/0.28 thf(func_def_22, type, sK16: ($i > $i)).
% 0.12/0.28 thf(f1,conjecture,(
% 0.12/0.28 ((! [X0 : $i] : ? [X1 : $i] : (cF @ X0 @ X1) & ! [X2 : $i] : ? [X5 : $i] : ! [X7 : $i,X6 : $i] : ((cD @ X6 @ X7 @ X5) => ! [X1 : $i,X8 : $i] : (((cF @ X7 @ X8) & (cF @ X6 @ X1)) => (cD @ X1 @ X8 @ X2))) & ? [X0 : $i] : ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2))) => ? [X1 : $i] : ! [X2 : $i] : ? [X9 : $i] : ! [X4 : $i] : ((cS @ X9 @ X4) => ! [X8 : $i] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))) => ((! [X0 : $i] : ? [X1 : $i] : (cF @ X0 @ X1) & ! [X2 : $i] : ? [X5 : $i] : ! [X7 : $i,X6 : $i] : ((cD @ X6 @ X7 @ X5) => ! [X8 : $i,X1 : $i] : (((cF @ X6 @ X1) & (cF @ X7 @ X8)) => (cD @ X1 @ X8 @ X2))) & ? [X0 : $i] : ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2))) => ? [X1 : $i] : ! [X2 : $i] : ? [X9 : $i] : ! [X4 : $i] : ((cS @ X9 @ X4) => ! [X8 : $i] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2))))),
% 0.12/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM408)).
% 0.12/0.28 thf(f2,negated_conjecture,(
% 0.12/0.28 ~(((! [X0 : $i] : ? [X1 : $i] : (cF @ X0 @ X1) & ! [X2 : $i] : ? [X5 : $i] : ! [X7 : $i,X6 : $i] : ((cD @ X6 @ X7 @ X5) => ! [X1 : $i,X8 : $i] : (((cF @ X7 @ X8) & (cF @ X6 @ X1)) => (cD @ X1 @ X8 @ X2))) & ? [X0 : $i] : ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2))) => ? [X1 : $i] : ! [X2 : $i] : ? [X9 : $i] : ! [X4 : $i] : ((cS @ X9 @ X4) => ! [X8 : $i] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))) => ((! [X0 : $i] : ? [X1 : $i] : (cF @ X0 @ X1) & ! [X2 : $i] : ? [X5 : $i] : ! [X7 : $i,X6 : $i] : ((cD @ X6 @ X7 @ X5) => ! [X8 : $i,X1 : $i] : (((cF @ X6 @ X1) & (cF @ X7 @ X8)) => (cD @ X1 @ X8 @ X2))) & ? [X0 : $i] : ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i] : ((cS @ X3 @ X4) => (cD @ X4 @ X0 @ X2))) => ? [X1 : $i] : ! [X2 : $i] : ? [X9 : $i] : ! [X4 : $i] : ((cS @ X9 @ X4) => ! [X8 : $i] : ((cF @ X4 @ X8) => (cD @ X8 @ X1 @ X2)))))),
% 0.12/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.28 thf(f3,plain,(
% 0.12/0.28 ~(((! [X0 : $i] : ? [X1 : $i] : (cF @ X0 @ X1) & ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i,X5 : $i] : ((cD @ X5 @ X4 @ X3) => ! [X6 : $i,X7 : $i] : (((cF @ X4 @ X7) & (cF @ X5 @ X6)) => (cD @ X6 @ X7 @ X2))) & ? [X8 : $i] : ! [X9 : $i] : ? [X10 : $i] : ! [X11 : $i] : ((cS @ X10 @ X11) => (cD @ X11 @ X8 @ X9))) => ? [X12 : $i] : ! [X13 : $i] : ? [X14 : $i] : ! [X15 : $i] : ((cS @ X14 @ X15) => ! [X16 : $i] : ((cF @ X15 @ X16) => (cD @ X16 @ X12 @ X13)))) => ((! [X17 : $i] : ? [X18 : $i] : (cF @ X17 @ X18) & ! [X19 : $i] : ? [X20 : $i] : ! [X21 : $i,X22 : $i] : ((cD @ X22 @ X21 @ X20) => ! [X23 : $i,X24 : $i] : (((cF @ X22 @ X24) & (cF @ X21 @ X23)) => (cD @ X24 @ X23 @ X19))) & ? [X25 : $i] : ! [X26 : $i] : ? [X27 : $i] : ! [X28 : $i] : ((cS @ X27 @ X28) => (cD @ X28 @ X25 @ X26))) => ? [X29 : $i] : ! [X30 : $i] : ? [X31 : $i] : ! [X32 : $i] : ((cS @ X31 @ X32) => ! [X33 : $i] : ((cF @ X32 @ X33) => (cD @ X33 @ X29 @ X30)))))),
% 0.12/0.28 inference(rectify,[],[f2])).
% 0.12/0.28 thf(f4,plain,(
% 0.12/0.28 ~(((? [X8 : $i] : ! [X9 : $i] : ? [X10 : $i] : ! [X11 : $i] : (($true = ((cS @ X10 @ X11))) => ($true = ((cD @ X11 @ X8 @ X9)))) & ! [X0 : $i] : ? [X1 : $i] : (((cF @ X0 @ X1)) = $true) & ! [X2 : $i] : ? [X3 : $i] : ! [X4 : $i,X5 : $i] : (($true = ((cD @ X5 @ X4 @ X3))) => ! [X6 : $i,X7 : $i] : (((((cF @ X5 @ X6)) = $true) & (((cF @ X4 @ X7)) = $true)) => (((cD @ X6 @ X7 @ X2)) = $true)))) => ? [X12 : $i] : ! [X13 : $i] : ? [X14 : $i] : ! [X15 : $i] : (($true = ((cS @ X14 @ X15))) => ! [X16 : $i] : ((((cF @ X15 @ X16)) = $true) => ($true = ((cD @ X16 @ X12 @ X13)))))) => ((! [X17 : $i] : ? [X18 : $i] : (((cF @ X17 @ X18)) = $true) & ? [X25 : $i] : ! [X26 : $i] : ? [X27 : $i] : ! [X28 : $i] : ((((cS @ X27 @ X28)) = $true) => ($true = ((cD @ X28 @ X25 @ X26)))) & ! [X19 : $i] : ? [X20 : $i] : ! [X21 : $i,X22 : $i] : ((((cD @ X22 @ X21 @ X20)) = $true) => ! [X23 : $i,X24 : $i] : ((($true = ((cF @ X22 @ X24))) & ($true = ((cF @ X21 @ X23)))) => ($true = ((cD @ X24 @ X23 @ X19)))))) => ? [X29 : $i] : ! [X30 : $i] : ? [X31 : $i] : ! [X32 : $i] : (($true = ((cS @ X31 @ X32))) => ! [X33 : $i] : (($true = ((cF @ X32 @ X33))) => (((cD @ X33 @ X29 @ X30)) = $true)))))),
% 0.12/0.28 inference(fool_elimination,[],[f3])).
% 0.12/0.28 thf(f5,plain,(
% 0.12/0.28 (! [X29 : $i] : ? [X30 : $i] : ! [X31 : $i] : ? [X32 : $i] : (($true = ((cS @ X31 @ X32))) & ? [X33 : $i] : (($true = ((cF @ X32 @ X33))) & (((cD @ X33 @ X29 @ X30)) != $true))) & (! [X17 : $i] : ? [X18 : $i] : (((cF @ X17 @ X18)) = $true) & ? [X25 : $i] : ! [X26 : $i] : ? [X27 : $i] : ! [X28 : $i] : (($true = ((cD @ X28 @ X25 @ X26))) | (((cS @ X27 @ X28)) != $true)) & ! [X19 : $i] : ? [X20 : $i] : ! [X21 : $i,X22 : $i] : (! [X23 : $i,X24 : $i] : (($true = ((cD @ X24 @ X23 @ X19))) | (($true != ((cF @ X22 @ X24))) | ($true != ((cF @ X21 @ X23))))) | (((cD @ X22 @ X21 @ X20)) != $true)))) & (? [X12 : $i] : ! [X13 : $i] : ? [X14 : $i] : ! [X15 : $i] : (! [X16 : $i] : (($true = ((cD @ X16 @ X12 @ X13))) | (((cF @ X15 @ X16)) != $true)) | ($true != ((cS @ X14 @ X15)))) | (! [X8 : $i] : ? [X9 : $i] : ! [X10 : $i] : ? [X11 : $i] : (($true != ((cD @ X11 @ X8 @ X9))) & ($true = ((cS @ X10 @ X11)))) | ? [X0 : $i] : ! [X1 : $i] : (((cF @ X0 @ X1)) != $true) | ? [X2 : $i] : ! [X3 : $i] : ? [X4 : $i,X5 : $i] : (? [X6 : $i,X7 : $i] : ((((cD @ X6 @ X7 @ X2)) != $true) & ((((cF @ X5 @ X6)) = $true) & (((cF @ X4 @ X7)) = $true))) & ($true = ((cD @ X5 @ X4 @ X3))))))),
% 0.12/0.28 inference(ennf_transformation,[],[f4])).
% 0.12/0.28 thf(f6,plain,(
% 0.12/0.28 ! [X19 : $i] : ? [X20 : $i] : ! [X22 : $i,X21 : $i] : ((((cD @ X22 @ X21 @ X20)) != $true) | ! [X24 : $i,X23 : $i] : (($true != ((cF @ X22 @ X24))) | ($true = ((cD @ X24 @ X23 @ X19))) | ($true != ((cF @ X21 @ X23))))) & (? [X0 : $i] : ! [X1 : $i] : (((cF @ X0 @ X1)) != $true) | ! [X8 : $i] : ? [X9 : $i] : ! [X10 : $i] : ? [X11 : $i] : (($true != ((cD @ X11 @ X8 @ X9))) & ($true = ((cS @ X10 @ X11)))) | ? [X2 : $i] : ! [X3 : $i] : ? [X5 : $i,X4 : $i] : (($true = ((cD @ X5 @ X4 @ X3))) & ? [X6 : $i,X7 : $i] : ((((cD @ X6 @ X7 @ X2)) != $true) & (((cF @ X4 @ X7)) = $true) & (((cF @ X5 @ X6)) = $true))) | ? [X12 : $i] : ! [X13 : $i] : ? [X14 : $i] : ! [X15 : $i] : (! [X16 : $i] : (($true = ((cD @ X16 @ X12 @ X13))) | (((cF @ X15 @ X16)) != $true)) | ($true != ((cS @ X14 @ X15))))) & ! [X29 : $i] : ? [X30 : $i] : ! [X31 : $i] : ? [X32 : $i] : (($true = ((cS @ X31 @ X32))) & ? [X33 : $i] : (($true = ((cF @ X32 @ X33))) & (((cD @ X33 @ X29 @ X30)) != $true))) & ! [X17 : $i] : ? [X18 : $i] : (((cF @ X17 @ X18)) = $true) & ? [X25 : $i] : ! [X26 : $i] : ? [X27 : $i] : ! [X28 : $i] : (($true = ((cD @ X28 @ X25 @ X26))) | (((cS @ X27 @ X28)) != $true))),
% 0.12/0.28 inference(flattening,[],[f5])).
% 0.12/0.28 thf(f7,plain,(
% 0.12/0.28 ! [X0 : $i] : ? [X1 : $i] : ! [X2 : $i,X3 : $i] : (($true != ((cD @ X2 @ X3 @ X1))) | ! [X4 : $i,X5 : $i] : ((((cF @ X2 @ X4)) != $true) | (((cD @ X4 @ X5 @ X0)) = $true) | ($true != ((cF @ X3 @ X5))))) & (? [X6 : $i] : ! [X7 : $i] : (((cF @ X6 @ X7)) != $true) | ! [X8 : $i] : ? [X9 : $i] : ! [X10 : $i] : ? [X11 : $i] : (($true != ((cD @ X11 @ X8 @ X9))) & ($true = ((cS @ X10 @ X11)))) | ? [X12 : $i] : ! [X13 : $i] : ? [X14 : $i,X15 : $i] : (($true = ((cD @ X14 @ X15 @ X13))) & ? [X16 : $i,X17 : $i] : ((((cD @ X16 @ X17 @ X12)) != $true) & (((cF @ X15 @ X17)) = $true) & ($true = ((cF @ X14 @ X16))))) | ? [X18 : $i] : ! [X19 : $i] : ? [X20 : $i] : ! [X21 : $i] : (! [X22 : $i] : ((((cD @ X22 @ X18 @ X19)) = $true) | (((cF @ X21 @ X22)) != $true)) | (((cS @ X20 @ X21)) != $true))) & ! [X23 : $i] : ? [X24 : $i] : ! [X25 : $i] : ? [X26 : $i] : ((((cS @ X25 @ X26)) = $true) & ? [X27 : $i] : ((((cF @ X26 @ X27)) = $true) & (((cD @ X27 @ X23 @ X24)) != $true))) & ! [X28 : $i] : ? [X29 : $i] : (((cF @ X28 @ X29)) = $true) & ? [X30 : $i] : ! [X31 : $i] : ? [X32 : $i] : ! [X33 : $i] : ((((cD @ X33 @ X30 @ X31)) = $true) | ($true != ((cS @ X32 @ X33))))),
% 0.12/0.28 inference(rectify,[],[f6])).
% 0.12/0.28 thf(f8,plain,(
% 0.12/0.28 ! [X0 : $i] : ! [X2 : $i,X3 : $i] : (($true != ((cD @ X2 @ X3 @ (sK0 @ X0)))) | ! [X4 : $i,X5 : $i] : ((((cF @ X2 @ X4)) != $true) | (((cD @ X4 @ X5 @ X0)) = $true) | ($true != ((cF @ X3 @ X5))))) & (! [X7 : $i] : (((cF @ sK1 @ X7)) != $true) | ! [X8 : $i] : ! [X10 : $i] : ((((cD @ (sK3 @ X10 @ X8) @ X8 @ (sK2 @ X8))) != $true) & (((cS @ X10 @ (sK3 @ X10 @ X8))) = $true)) | ! [X13 : $i] : (($true = ((cD @ (sK5 @ X13) @ (sK6 @ X13) @ X13))) & ((((cD @ (sK7 @ X13) @ (sK8 @ X13) @ sK4)) != $true) & ($true = ((cF @ (sK6 @ X13) @ (sK8 @ X13)))) & ($true = ((cF @ (sK5 @ X13) @ (sK7 @ X13)))))) | ! [X19 : $i] : ! [X21 : $i] : (! [X22 : $i] : (($true = ((cD @ X22 @ sK9 @ X19))) | (((cF @ X21 @ X22)) != $true)) | ($true != ((cS @ (sK10 @ X19) @ X21))))) & ! [X23 : $i] : ! [X25 : $i] : (($true = ((cS @ X25 @ (sK12 @ X25 @ X23)))) & ((((cF @ (sK12 @ X25 @ X23) @ (sK13 @ X25 @ X23))) = $true) & (((cD @ (sK13 @ X25 @ X23) @ X23 @ (sK11 @ X23))) != $true))) & ! [X28 : $i] : ($true = ((cF @ X28 @ (sK14 @ X28)))) & ! [X31 : $i] : ! [X33 : $i] : (($true = ((cD @ X33 @ sK15 @ X31))) | ($true != ((cS @ (sK16 @ X31) @ X33))))),
% 0.12/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK1,vAPP,vAPP,sK4,vAPP,vAPP,vAPP,vAPP,sK9,vAPP,vAPP,vAPP,vAPP,vAPP,sK15,vAPP]),skolemize(X32,sK16 @ X31),skolemize(X6,sK1),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X12,sK4),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X18,sK9),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X32,sK16 @ X31),skolemize(X30,sK15),skolemize(X32,sK16 @ X31)],[f7])).
% 0.12/0.28 thf(f9,plain,(
% 0.12/0.28 ( ! [X31 : $i,X33 : $i] : (($true = ((cD @ X33 @ sK15 @ X31))) | ($true != ((cS @ (sK16 @ X31) @ X33)))) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f10,plain,(
% 0.12/0.28 ( ! [X28 : $i] : (($true = ((cF @ X28 @ (sK14 @ X28))))) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f11,plain,(
% 0.12/0.28 ( ! [X25 : $i,X23 : $i] : ((((cD @ (sK13 @ X25 @ X23) @ X23 @ (sK11 @ X23))) != $true)) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f12,plain,(
% 0.12/0.28 ( ! [X25 : $i,X23 : $i] : ((((cF @ (sK12 @ X25 @ X23) @ (sK13 @ X25 @ X23))) = $true)) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f13,plain,(
% 0.12/0.28 ( ! [X25 : $i,X23 : $i] : (($true = ((cS @ X25 @ (sK12 @ X25 @ X23))))) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f22,plain,(
% 0.12/0.28 ( ! [X2 : $i,X3 : $i,X0 : $i,X4 : $i,X5 : $i] : (($true != ((cD @ X2 @ X3 @ (sK0 @ X0)))) | (((cF @ X2 @ X4)) != $true) | ($true != ((cF @ X3 @ X5))) | (((cD @ X4 @ X5 @ X0)) = $true)) )),
% 0.12/0.28 inference(cnf_transformation,[],[f8])).
% 0.12/0.28 thf(f26,plain,(
% 0.12/0.28 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != ((cF @ sK15 @ X3))) | (((cS @ (sK16 @ (sK0 @ X1)) @ X0)) != $true) | ($true != $true) | ($true != ((cF @ X0 @ X2))) | ($true = ((cD @ X2 @ X3 @ X1)))) )),
% 0.12/0.28 inference(superposition,[],[f22,f9])).
% 0.12/0.28 thf(f27,plain,(
% 0.12/0.28 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cS @ (sK16 @ (sK0 @ X1)) @ X0)) != $true) | ($true = ((cD @ X2 @ X3 @ X1))) | ($true != ((cF @ sK15 @ X3))) | ($true != ((cF @ X0 @ X2)))) )),
% 0.12/0.28 inference(trivial_inequality_removal,[],[f26])).
% 0.12/0.28 thf(f28,plain,(
% 0.12/0.28 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != ((cF @ sK15 @ X3))) | ($true != $true) | (((cF @ (sK12 @ (sK16 @ (sK0 @ X0)) @ X1) @ X2)) != $true) | ($true = ((cD @ X2 @ X3 @ X0)))) )),
% 0.12/0.28 inference(superposition,[],[f27,f13])).
% 0.12/0.28 thf(f29,plain,(
% 0.12/0.28 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cF @ (sK12 @ (sK16 @ (sK0 @ X0)) @ X1) @ X2)) != $true) | ($true = ((cD @ X2 @ X3 @ X0))) | ($true != ((cF @ sK15 @ X3)))) )),
% 0.12/0.28 inference(trivial_inequality_removal,[],[f28])).
% 0.12/0.28 thf(f30,plain,(
% 0.12/0.28 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((cD @ (sK13 @ (sK16 @ (sK0 @ X0)) @ X1) @ X2 @ X0))) | (((cF @ sK15 @ X2)) != $true) | ($true != $true)) )),
% 0.12/0.28 inference(superposition,[],[f29,f12])).
% 0.12/0.28 thf(f33,plain,(
% 0.12/0.28 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((cD @ (sK13 @ (sK16 @ (sK0 @ X0)) @ X1) @ X2 @ X0))) | (((cF @ sK15 @ X2)) != $true)) )),
% 0.12/0.28 inference(trivial_inequality_removal,[],[f30])).
% 0.12/0.28 thf(f34,plain,(
% 0.12/0.28 ( ! [X0 : $i] : (($true != $true) | ($true != ((cF @ sK15 @ X0)))) )),
% 0.12/0.28 inference(superposition,[],[f11,f33])).
% 0.12/0.28 thf(f36,plain,(
% 0.12/0.28 ( ! [X0 : $i] : (($true != ((cF @ sK15 @ X0)))) )),
% 0.12/0.28 inference(trivial_inequality_removal,[],[f34])).
% 0.12/0.28 thf(f40,plain,(
% 0.12/0.28 ($true != $true)),
% 0.12/0.28 inference(superposition,[],[f36,f10])).
% 0.12/0.28 thf(f41,plain,(
% 0.12/0.28 $false),
% 0.12/0.28 inference(trivial_inequality_removal,[],[f40])).
% 0.12/0.28 % SZS output end Proof for theBenchmark
% 0.12/0.28 % (1551141)------------------------------
% 0.12/0.28 % (1551141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.28 % (1551141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.28 % (1551141)CaDiCaL version: 2.1.3
% 0.12/0.28 % (1551141)Termination reason: Refutation
% 0.12/0.28 % (1551141)Time elapsed: 0.004 s
% 0.12/0.28 % (1551141)Peak memory usage: 12 MB
% 0.12/0.28 % (1551141)Instructions burned: 11 (million)
% 0.12/0.28 % (1551132)Success in time 0.032 s
% 0.12/0.28 % Vampire exiting
%------------------------------------------------------------------------------