%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ093^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 08:21:01 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ093^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:22:34 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (1035185)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1035191)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1035191)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1697574963:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1035191)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (1035191)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (1035190)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4292195542_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (1035192)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3226857269:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1035193)dis+10_1_sil=32000:sp=arity:random_seed=3073256181:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (1035194)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=442133094:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (1035194)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (1035192) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1035185-1035192"...
% 0.19/0.27 % (1035195)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=819504792:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (1035196)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3011076147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (1035192)...printing done.
% 0.19/0.27 % (1035192)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_1, type, sK0: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.19/0.27 thf(f1,conjecture,(
% 0.19/0.27 ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ! [X12 : ($i > $i)] : (((((((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3)))) & (((((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X5)) = ((X12 @ X6))) & (((X12 @ X4)) = ((X12 @ X5)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X6)) != ((X12 @ X9)))) & (((((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X4)) = ((X12 @ X7))))) => ((((X12 @ X10)) != ((X12 @ X11))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X6)) != ((X12 @ X7))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X1)))))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_PTH)).
% 0.19/0.27 thf(f2,negated_conjecture,(
% 0.19/0.27 ~ ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ! [X12 : ($i > $i)] : (((((((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3)))) & (((((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X5)) = ((X12 @ X6))) & (((X12 @ X4)) = ((X12 @ X5)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X6)) != ((X12 @ X9)))) & (((((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X4)) = ((X12 @ X7))))) => ((((X12 @ X10)) != ((X12 @ X11))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X6)) != ((X12 @ X7))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X1)))))),
% 0.19/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.28 thf(f3,plain,(
% 0.19/0.28 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ? [X12 : ($i > $i)] : (((((X12 @ X11)) = ((X12 @ X10))) & (((X12 @ X8)) = ((X12 @ X9))) & (((X12 @ X7)) = ((X12 @ X6))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X1)))) & (((((X12 @ X6)) = ((X12 @ X9))) | ((((X12 @ X8)) = ((X12 @ X11))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X3)) != ((X12 @ X4))) | (((X12 @ X2)) != ((X12 @ X3))))) & ((((X12 @ X0)) != ((X12 @ X3))) | ((((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X11)) != ((X12 @ X10))) | (((X12 @ X8)) != ((X12 @ X9))))) & ((((X12 @ X8)) = ((X12 @ X11))) | ((((X12 @ X2)) = ((X12 @ X5))) | (((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X0)) != ((X12 @ X1))))) & ((((X12 @ X8)) != ((X12 @ X11))) | ((((X12 @ X0)) = ((X12 @ X3))) | (((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X5)) != ((X12 @ X6))) | (((X12 @ X4)) != ((X12 @ X5))))) & ((((X12 @ X6)) != ((X12 @ X9))) | ((((X12 @ X2)) != ((X12 @ X5))) | (((X12 @ X11)) != ((X12 @ X10))) | (((X12 @ X0)) != ((X12 @ X1))))) & ((((X12 @ X4)) = ((X12 @ X7))) | ((((X12 @ X8)) != ((X12 @ X11))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X1)))))))),
% 0.19/0.28 inference(ennf_transformation,[],[f2])).
% 0.19/0.28 thf(f4,plain,(
% 0.19/0.28 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ? [X12 : ($i > $i)] : ((((X12 @ X11)) = ((X12 @ X10))) & (((X12 @ X8)) = ((X12 @ X9))) & (((X12 @ X7)) = ((X12 @ X6))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X1))) & ((((X12 @ X6)) = ((X12 @ X9))) | (((X12 @ X8)) = ((X12 @ X11))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X3)) != ((X12 @ X4))) | (((X12 @ X2)) != ((X12 @ X3)))) & ((((X12 @ X0)) != ((X12 @ X3))) | (((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X11)) != ((X12 @ X10))) | (((X12 @ X8)) != ((X12 @ X9)))) & ((((X12 @ X8)) = ((X12 @ X11))) | (((X12 @ X2)) = ((X12 @ X5))) | (((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X0)) != ((X12 @ X1)))) & ((((X12 @ X8)) != ((X12 @ X11))) | (((X12 @ X0)) = ((X12 @ X3))) | (((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X5)) != ((X12 @ X6))) | (((X12 @ X4)) != ((X12 @ X5)))) & ((((X12 @ X6)) != ((X12 @ X9))) | (((X12 @ X2)) != ((X12 @ X5))) | (((X12 @ X11)) != ((X12 @ X10))) | (((X12 @ X0)) != ((X12 @ X1)))) & ((((X12 @ X4)) = ((X12 @ X7))) | (((X12 @ X8)) != ((X12 @ X11))) | (((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X1)))))),
% 0.19/0.28 inference(flattening,[],[f3])).
% 0.19/0.28 thf(f5,plain,(
% 0.19/0.28 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ((((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 @ 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 @ 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 @ X6))) & (((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 @ X5))) & (((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 @ X3))) & (((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 @ X9)) = ((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 @ 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 @ X5))) | (((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 @ X2)) != ((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 @ X3)) != ((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 @ X7)) != ((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 @ 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 @ X9)))) & ((((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 @ X8))) | (((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 @ X2))) | (((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 @ 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 @ X1)))) & ((((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 @ X8))) | (((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 @ X0))) | (((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 @ X6))) | (((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 @ X5))) | (((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 @ 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 @ X6))) | (((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 @ X2))) | (((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 @ X10))) | (((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 @ X7)) = ((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 @ X8))) | (((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 @ X3))) | (((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)))))),
% 0.19/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X12,sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)],[f4])).
% 0.19/0.28 thf(f7,plain,(
% 0.19/0.28 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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 @ X6))) | (((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 @ X2))) | (((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 @ X10))) | (((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)))) )),
% 0.19/0.28 inference(cnf_transformation,[],[f5])).
% 0.19/0.28 thf(f12,plain,(
% 0.19/0.28 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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)))) )),
% 0.19/0.28 inference(cnf_transformation,[],[f5])).
% 0.19/0.28 thf(f17,plain,(
% 0.19/0.28 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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 @ X10)))) )),
% 0.19/0.28 inference(cnf_transformation,[],[f5])).
% 0.19/0.28 thf(f18,plain,(
% 0.19/0.28 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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 @ X6))) | (((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 @ X2)))) )),
% 0.19/0.28 inference(global_subsumption,[],[f7,f17,f12])).
% 0.19/0.28 thf(f25,plain,(
% 0.19/0.28 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X0 @ X1 @ X2 @ X3 @ X4 @ X2 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X5)) != ((sK0 @ X0 @ X1 @ X2 @ X3 @ X4 @ X2 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X8)))) )),
% 0.19/0.28 inference(equality_resolution,[],[f18])).
% 0.19/0.28 thf(f30,plain,(
% 0.19/0.28 $false),
% 0.19/0.28 inference(equality_resolution,[],[f25])).
% 0.19/0.28 % SZS output end Proof for theBenchmark
% 0.19/0.28 % (1035192)------------------------------
% 0.19/0.28 % (1035192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1035192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1035192)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1035192)Termination reason: Refutation
% 0.19/0.28 % (1035192)Time elapsed: 0.008 s
% 0.19/0.28 % (1035192)Peak memory usage: 12 MB
% 0.19/0.28 % (1035192)Instructions burned: 17 (million)
% 0.19/0.28 % (1035185)Success in time 0.051 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------