%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO250^5 : 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 08:47:17 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO250^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:41:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.20/0.27 % (322261)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (322267)lrs+10_16_si=on:nwc=1.5:random_seed=3281819946:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27 % (322267) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-322261-322267"...
% 0.20/0.27 % (322272)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.27 % (322272)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
% 0.20/0.27 % (322267)...printing done.
% 0.20/0.27 % (322267)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_1, type, sK0: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.20/0.27 thf(f1,conjecture,(
% 0.20/0.27 ? [X4 : $i,X11 : $i,X6 : $i,X10 : $i,X2 : $i,X9 : $i,X5 : $i,X0 : $i,X1 : $i,X7 : $i,X8 : $i,X3 : $i] : (((X1 != X10) & (X8 != X11) & (X5 != X8) & (X6 != X10) & (X2 != X7) & (X10 != X11) & (X0 != X1) & (X8 != X10) & (X9 != X11) & (X1 != X2) & (X1 != X6) & (X2 != X4) & (X6 != X7) & (X7 != X8) & (X5 != X7) & (X9 != X10) & (X7 != X11) & (X2 != X9) & (X8 != X9) & (X7 != X10) & (X0 != X10) & (X4 != X6) & (X5 != X6) & (X2 != X8) & (X2 != X10) & (X5 != X9) & (X0 != X7) & (X1 != X5) & (X0 != X4) & (X6 != X11) & (X0 != X11) & (X4 != X11) & (X1 != X8) & (X0 != X2) & (X4 != X10) & (X1 != X7) & (X1 != X11) & (X7 != X9) & (X4 != X5) & (X1 != X9) & (X4 != X9) & (X0 != X9) & (X5 != X11) & (X5 != X10) & (X2 != X3) & (X0 != X5) & (X4 != X7) & (X2 != X11) & (X1 != X4) & (X1 != X3) & (X2 != X6) & (X0 != X6) & (X2 != X5) & (X4 != X8) & (X0 != X3) & (X6 != X8) & (X0 != X8) & (X6 != X9)) => ! [X12 : ($i > $i)] : (((((((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4))) & (((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X4)) = ((X12 @ X7)))) & (((((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X6)) != ((X12 @ X9)))) & (((((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X5)) = ((X12 @ X6))) & (((X12 @ X6)) = ((X12 @ X7)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3))))) => ((((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X10)) != ((X12 @ X11))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X1))) | (((X12 @ X6)) != ((X12 @ X7))))))),
% 0.20/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIXFRIENDS)).
% 0.20/0.27 thf(f2,negated_conjecture,(
% 0.20/0.27 ~ ? [X4 : $i,X11 : $i,X6 : $i,X10 : $i,X2 : $i,X9 : $i,X5 : $i,X0 : $i,X1 : $i,X7 : $i,X8 : $i,X3 : $i] : (((X1 != X10) & (X8 != X11) & (X5 != X8) & (X6 != X10) & (X2 != X7) & (X10 != X11) & (X0 != X1) & (X8 != X10) & (X9 != X11) & (X1 != X2) & (X1 != X6) & (X2 != X4) & (X6 != X7) & (X7 != X8) & (X5 != X7) & (X9 != X10) & (X7 != X11) & (X2 != X9) & (X8 != X9) & (X7 != X10) & (X0 != X10) & (X4 != X6) & (X5 != X6) & (X2 != X8) & (X2 != X10) & (X5 != X9) & (X0 != X7) & (X1 != X5) & (X0 != X4) & (X6 != X11) & (X0 != X11) & (X4 != X11) & (X1 != X8) & (X0 != X2) & (X4 != X10) & (X1 != X7) & (X1 != X11) & (X7 != X9) & (X4 != X5) & (X1 != X9) & (X4 != X9) & (X0 != X9) & (X5 != X11) & (X5 != X10) & (X2 != X3) & (X0 != X5) & (X4 != X7) & (X2 != X11) & (X1 != X4) & (X1 != X3) & (X2 != X6) & (X0 != X6) & (X2 != X5) & (X4 != X8) & (X0 != X3) & (X6 != X8) & (X0 != X8) & (X6 != X9)) => ! [X12 : ($i > $i)] : (((((((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4))) & (((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X4)) = ((X12 @ X7)))) & (((((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X6)) != ((X12 @ X9)))) & (((((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X5)) = ((X12 @ X6))) & (((X12 @ X6)) = ((X12 @ X7)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3))))) => ((((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X10)) != ((X12 @ X11))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X1))) | (((X12 @ X6)) != ((X12 @ X7))))))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27 thf(f3,plain,(
% 0.20/0.27 ~ ? [X5 : $i,X6 : $i,X7 : $i,X4 : $i,X1 : $i,X8 : $i,X2 : $i,X10 : $i,X3 : $i,X11 : $i,X0 : $i,X9 : $i] : (((X6 != X8) & (X7 != X8) & (X1 != X5) & (X1 != X6) & (X2 != X5) & (X1 != X3) & (X8 != X11) & (X2 != X9) & (X4 != X10) & (X0 != X9) & (X5 != X9) & (X6 != X9) & (X4 != X6) & (X4 != X7) & (X6 != X10) & (X3 != X10) & (X0 != X2) & (X1 != X2) & (X9 != X10) & (X0 != X7) & (X1 != X10) & (X2 != X8) & (X0 != X5) & (X7 != X10) & (X7 != X11) & (X5 != X8) & (X8 != X9) & (X5 != X10) & (X4 != X5) & (X0 != X3) & (X3 != X5) & (X0 != X1) & (X4 != X9) & (X6 != X7) & (X5 != X6) & (X3 != X9) & (X3 != X4) & (X1 != X8) & (X5 != X7) & (X2 != X10) & (X0 != X4) & (X0 != X10) & (X2 != X4) & (X1 != X4) & (X8 != X10) & (X1 != X7) & (X1 != X9) & (X7 != X9) & (X4 != X8) & (X3 != X8) & (X2 != X7) & (X3 != X6) & (X3 != X7) & (X4 != X11) & (X2 != X6) & (X0 != X8) & (X0 != X6) & (X2 != X3)) => ! [X12 : ($i > $i)] : (((((((X12 @ X1)) = ((X12 @ X3))) & (((X12 @ X4)) = ((X12 @ X6))) & (((X12 @ X8)) = ((X12 @ X7)))) => (((X12 @ X2)) != ((X12 @ X5)))) & (((((X12 @ X1)) = ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X9))) & (((X12 @ X10)) = ((X12 @ X5)))) => (((X12 @ X11)) != ((X12 @ X7)))) & (((((X12 @ X11)) != ((X12 @ X7))) & (((X12 @ X2)) = ((X12 @ X6))) & (((X12 @ X2)) = ((X12 @ X9))) & (((X12 @ X0)) = ((X12 @ X6)))) => (((X12 @ X1)) != ((X12 @ X10)))) & (((((X12 @ X8)) = ((X12 @ X7))) & (((X12 @ X4)) != ((X12 @ X6))) & (((X12 @ X2)) = ((X12 @ X9)))) => (((X12 @ X1)) = ((X12 @ X10)))) & (((((X12 @ X11)) = ((X12 @ X4))) & (((X12 @ X8)) = ((X12 @ X7))) & (((X12 @ X1)) = ((X12 @ X10)))) => (((X12 @ X0)) = ((X12 @ X9)))) & (((((X12 @ X11)) = ((X12 @ X4))) & (((X12 @ X1)) != ((X12 @ X10))) & (((X12 @ X0)) = ((X12 @ X6))) & (((X12 @ X0)) = ((X12 @ X11)))) => (((X12 @ X2)) = ((X12 @ X5))))) => ((((X12 @ X1)) != ((X12 @ X3))) | (((X12 @ X11)) != ((X12 @ X4))) | (((X12 @ X10)) != ((X12 @ X5))) | (((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X2)) != ((X12 @ X9))))))),
% 0.20/0.27 inference(rectify,[],[f2])).
% 0.20/0.27 thf(f4,plain,(
% 0.20/0.27 ! [X5 : $i,X6 : $i,X7 : $i,X4 : $i,X1 : $i,X8 : $i,X2 : $i,X10 : $i,X3 : $i,X11 : $i,X0 : $i,X9 : $i] : (? [X12 : ($i > $i)] : (((((X12 @ X1)) = ((X12 @ X3))) & (((X12 @ X11)) = ((X12 @ X4))) & (((X12 @ X10)) = ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X6))) & (((X12 @ X8)) = ((X12 @ X7))) & (((X12 @ X2)) = ((X12 @ X9)))) & (((((X12 @ X2)) != ((X12 @ X5))) | ((((X12 @ X1)) != ((X12 @ X3))) | (((X12 @ X4)) != ((X12 @ X6))) | (((X12 @ X8)) != ((X12 @ X7))))) & ((((X12 @ X11)) != ((X12 @ X7))) | ((((X12 @ X1)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X9))) | (((X12 @ X10)) != ((X12 @ X5))))) & ((((X12 @ X1)) != ((X12 @ X10))) | ((((X12 @ X11)) = ((X12 @ X7))) | (((X12 @ X2)) != ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X6))))) & ((((X12 @ X1)) = ((X12 @ X10))) | ((((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X4)) = ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X9))))) & ((((X12 @ X0)) = ((X12 @ X9))) | ((((X12 @ X11)) != ((X12 @ X4))) | (((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X1)) != ((X12 @ X10))))) & ((((X12 @ X2)) = ((X12 @ X5))) | ((((X12 @ X11)) != ((X12 @ X4))) | (((X12 @ X1)) = ((X12 @ X10))) | (((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X0)) != ((X12 @ X11))))))) & ((X6 != X8) & (X7 != X8) & (X1 != X5) & (X1 != X6) & (X2 != X5) & (X1 != X3) & (X8 != X11) & (X2 != X9) & (X4 != X10) & (X0 != X9) & (X5 != X9) & (X6 != X9) & (X4 != X6) & (X4 != X7) & (X6 != X10) & (X3 != X10) & (X0 != X2) & (X1 != X2) & (X9 != X10) & (X0 != X7) & (X1 != X10) & (X2 != X8) & (X0 != X5) & (X7 != X10) & (X7 != X11) & (X5 != X8) & (X8 != X9) & (X5 != X10) & (X4 != X5) & (X0 != X3) & (X3 != X5) & (X0 != X1) & (X4 != X9) & (X6 != X7) & (X5 != X6) & (X3 != X9) & (X3 != X4) & (X1 != X8) & (X5 != X7) & (X2 != X10) & (X0 != X4) & (X0 != X10) & (X2 != X4) & (X1 != X4) & (X8 != X10) & (X1 != X7) & (X1 != X9) & (X7 != X9) & (X4 != X8) & (X3 != X8) & (X2 != X7) & (X3 != X6) & (X3 != X7) & (X4 != X11) & (X2 != X6) & (X0 != X8) & (X0 != X6) & (X2 != X3)))),
% 0.20/0.27 inference(ennf_transformation,[],[f3])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 ! [X10 : $i,X9 : $i,X5 : $i,X11 : $i,X1 : $i,X2 : $i,X8 : $i,X0 : $i,X3 : $i,X6 : $i,X4 : $i,X7 : $i] : ((X0 != X10) & (X1 != X10) & (X5 != X8) & (X2 != X10) & (X6 != X9) & (X0 != X5) & (X4 != X7) & (X8 != X10) & (X0 != X1) & (X0 != X7) & (X8 != X11) & (X6 != X8) & (X4 != X10) & (X1 != X8) & (X0 != X3) & (X3 != X7) & (X2 != X8) & (X3 != X8) & (X5 != X6) & (X4 != X11) & (X1 != X7) & (X1 != X5) & (X4 != X6) & (X6 != X7) & (X2 != X7) & (X3 != X5) & (X0 != X8) & (X0 != X6) & ? [X12 : ($i > $i)] : (((((X12 @ X4)) != ((X12 @ X6))) | (((X12 @ X1)) != ((X12 @ X3))) | (((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X2)) != ((X12 @ X5)))) & ((((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X1)) = ((X12 @ X10))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X4)) = ((X12 @ X6)))) & (((X12 @ X11)) = ((X12 @ X4))) & ((((X12 @ X2)) != ((X12 @ X6))) | (((X12 @ X1)) != ((X12 @ X10))) | (((X12 @ X11)) = ((X12 @ X7))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X6)))) & (((X12 @ X1)) = ((X12 @ X3))) & (((X12 @ X8)) = ((X12 @ X7))) & ((((X12 @ X8)) != ((X12 @ X7))) | (((X12 @ X11)) != ((X12 @ X4))) | (((X12 @ X0)) = ((X12 @ X9))) | (((X12 @ X1)) != ((X12 @ X10)))) & (((X12 @ X10)) = ((X12 @ X5))) & (((X12 @ X2)) = ((X12 @ X9))) & ((((X12 @ X1)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X9))) | (((X12 @ X10)) != ((X12 @ X5))) | (((X12 @ X11)) != ((X12 @ X7)))) & ((((X12 @ X0)) != ((X12 @ X11))) | (((X12 @ X11)) != ((X12 @ X4))) | (((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X1)) = ((X12 @ X10))) | (((X12 @ X2)) = ((X12 @ X5)))) & (((X12 @ X0)) = ((X12 @ X6)))) & (X4 != X8) & (X4 != X5) & (X1 != X2) & (X3 != X4) & (X7 != X9) & (X7 != X10) & (X1 != X3) & (X2 != X3) & (X0 != X9) & (X2 != X4) & (X0 != X4) & (X6 != X10) & (X5 != X7) & (X1 != X4) & (X3 != X9) & (X1 != X6) & (X2 != X6) & (X8 != X9) & (X4 != X9) & (X0 != X2) & (X7 != X11) & (X3 != X10) & (X3 != X6) & (X5 != X10) & (X2 != X9) & (X7 != X8) & (X9 != X10) & (X1 != X9) & (X2 != X5) & (X5 != X9))),
% 0.20/0.27 inference(flattening,[],[f4])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ((X0 != X7) & (X0 != X4) & (X2 != X6) & (X0 != X5) & (X1 != X9) & (X2 != X7) & (X10 != X11) & (X0 != X6) & (X4 != X7) & (X7 != X11) & (X3 != X6) & (X6 != X9) & (X0 != X10) & (X4 != X6) & (X7 != X8) & (X8 != X11) & (X5 != X6) & (X6 != X8) & (X2 != X9) & (X3 != X10) & (X4 != X11) & (X2 != X4) & (X9 != X10) & (X9 != X11) & (X5 != X11) & (X2 != X8) & (X6 != X7) & (X7 != X9) & ? [X12 : ($i > $i)] : (((((X12 @ X10)) != ((X12 @ X9))) | (((X12 @ X8)) != ((X12 @ X4))) | (((X12 @ X11)) != ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X5)))) & ((((X12 @ X11)) != ((X12 @ X6))) | (((X12 @ X0)) = ((X12 @ X4))) | (((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X10)) = ((X12 @ X9)))) & (((X12 @ X3)) = ((X12 @ X10))) & ((((X12 @ X5)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X4))) | (((X12 @ X3)) = ((X12 @ X11))) | (((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X7)) != ((X12 @ X9)))) & (((X12 @ X8)) = ((X12 @ X4))) & (((X12 @ X11)) = ((X12 @ X6))) & ((((X12 @ X11)) != ((X12 @ X6))) | (((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X1)) = ((X12 @ X7))) | (((X12 @ X0)) != ((X12 @ X4)))) & (((X12 @ X0)) = ((X12 @ X2))) & (((X12 @ X1)) = ((X12 @ X5))) & ((((X12 @ X8)) != ((X12 @ X4))) | (((X12 @ X1)) != ((X12 @ X7))) | (((X12 @ X0)) != ((X12 @ X2))) | (((X12 @ X3)) != ((X12 @ X11)))) & ((((X12 @ X3)) != ((X12 @ X7))) | (((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X7)) != ((X12 @ X9))) | (((X12 @ X0)) = ((X12 @ X4))) | (((X12 @ X2)) = ((X12 @ X5)))) & (((X12 @ X7)) = ((X12 @ X9)))) & (X6 != X10) & (X2 != X10) & (X4 != X5) & (X8 != X10) & (X1 != X11) & (X0 != X11) & (X4 != X8) & (X5 != X8) & (X1 != X7) & (X5 != X10) & (X7 != X10) & (X0 != X9) & (X2 != X11) & (X4 != X10) & (X1 != X8) & (X4 != X9) & (X5 != X9) & (X1 != X6) & (X1 != X10) & (X5 != X7) & (X3 != X11) & (X0 != X8) & (X8 != X9) & (X0 != X2) & (X1 != X5) & (X6 != X11) & (X0 != X1) & (X1 != X4) & (X2 != X5) & (X1 != X2))),
% 0.20/0.27 inference(rectify,[],[f5])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ((X0 != X7) & (X0 != X4) & (X2 != X6) & (X0 != X5) & (X1 != X9) & (X2 != X7) & (X10 != X11) & (X0 != X6) & (X4 != X7) & (X7 != X11) & (X3 != X6) & (X6 != X9) & (X0 != X10) & (X4 != X6) & (X7 != X8) & (X8 != X11) & (X5 != X6) & (X6 != X8) & (X2 != X9) & (X3 != X10) & (X4 != X11) & (X2 != X4) & (X9 != X10) & (X9 != X11) & (X5 != X11) & (X2 != X8) & (X6 != X7) & (X7 != X9) & (((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) & (X6 != X10) & (X2 != X10) & (X4 != X5) & (X8 != X10) & (X1 != X11) & (X0 != X11) & (X4 != X8) & (X5 != X8) & (X1 != X7) & (X5 != X10) & (X7 != X10) & (X0 != X9) & (X2 != X11) & (X4 != X10) & (X1 != X8) & (X4 != X9) & (X5 != X9) & (X1 != X6) & (X1 != X10) & (X5 != X7) & (X3 != X11) & (X0 != X8) & (X8 != X9) & (X0 != X2) & (X1 != X5) & (X6 != X11) & (X0 != X1) & (X1 != X4) & (X2 != X5) & (X1 != X2))),
% 0.20/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X12,sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)],[f6])).
% 0.20/0.27 thf(f65,plain,(
% 0.20/0.27 ( ! [X10 : $i,X0 : $i] : ((X0 != X10)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f7])).
% 0.20/0.27 thf(f90,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(equality_resolution,[],[f65])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (322267)------------------------------
% 0.20/0.27 % (322267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (322267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (322267)CaDiCaL version: 2.1.3
% 0.20/0.27 % (322267)Termination reason: Refutation
% 0.20/0.27 % (322267)Time elapsed: 0.004 s
% 0.20/0.27 % (322267)Peak memory usage: 11 MB
% 0.20/0.27 % (322267)Instructions burned: 19 (million)
% 0.20/0.27 % (322261)Success in time 0.027 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------