0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.04/0.37	% Computer : n024.cluster.edu
0.04/0.37	% Model    : x86_64 x86_64
0.04/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.04/0.37	% Memory   : 8046.5625MB
0.04/0.37	% OS       : Linux 6.8.0-71-generic
0.04/0.37	% CPULimit : 1440
0.04/0.37	% WCLimit  : 180
0.04/0.37	% DateTime : Mon Jul 27 04:10:09 UTC 2026
0.04/0.37	% CPUTime  : 
0.04/0.37	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.04/0.39	Running higher-order theorem proving
0.04/0.40	Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.08/0.43	% (2827344)Detected formulas, will run a generic FOF schedule.
0.08/0.43	% (2827351)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=279770984:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.08/0.43	% (2827350)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=3545157158:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.08/0.43	% (2827349)lrs+1011_1_sp=occurrence:random_seed=1012655241:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.08/0.43	% (2827353)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1178783664:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.08/0.43	% (2827354)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3402279901:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.08/0.43	% (2827355)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=2984674919:st=2:i=121:sd=30:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.08/0.43	% (2827352)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2906282090:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.08/0.43	% (2827351) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2827344-2827351"...
0.08/0.43	% (2827349) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2827344-2827349"...
0.08/0.43	% (2827353) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2827344-2827353"...
0.08/0.43	% (2827352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2827344-2827352"...
0.08/0.43	% (2827355) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2827344-2827355"...
0.08/0.43	% (2827351)...printing done.
0.08/0.43	% (2827349)...printing done.
0.08/0.43	% (2827353)...printing done.
0.08/0.43	% (2827349)Refutation found. Thanks to Tanya!
0.08/0.43	% SZS status Theorem for theBenchmark
0.08/0.43	% SZS output start Proof for theBenchmark
0.08/0.43	tff(func_def_2, type, sK0: $o).
0.08/0.43	tff(func_def_3, type, sK1: $o).
0.08/0.43	tff(func_def_4, type, sK2: $o).
0.08/0.43	tff(func_def_5, type, sK3: $o).
0.08/0.43	tff(func_def_6, type, sK4: $o).
0.08/0.43	tff(func_def_7, type, sK5: $o).
0.08/0.43	tff(func_def_8, type, sK6: $o).
0.08/0.43	tff(func_def_9, type, sK7: $o).
0.08/0.43	tff(func_def_10, type, sK8: $o).
0.08/0.43	tff(func_def_11, type, sK9: $o).
0.08/0.43	tff(func_def_12, type, sK10: $o).
0.08/0.43	tff(f1,conjecture,(
0.08/0.43	  ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((~X3 & ~X1) => X4) & ((X4 & ~X6 & ~X7) => X1) & ((X5 & ~X8 & ~X6 & X3) => ~X2) & ((X0 & X5 & X8) => ~X2) & ((X4 & X5) => ~X10) & ((~X8 & ~X2 & X4) => X3) & ((~X4 & X9 & X3) => ~X10) & ((X6 & ~X1 & ~X7) => X10) & ((~X8 & ~X2 & X3) => ~X9) & ((~X4 & ~X3) => X8) & ((X0 & X2) => X10) & ((X9 & X8) => X10) & ((~X8 & X2 & X6) => X7) & ((X3 & ~X4) => X2) & ((X0 & X1) => X2)) => ((X0 & X5) => (X7 & ~X9)))),
0.08/0.43	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP2)).
0.08/0.43	tff(f2,negated_conjecture,(
0.08/0.43	  ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((~X3 & ~X1) => X4) & ((X4 & ~X6 & ~X7) => X1) & ((X5 & ~X8 & ~X6 & X3) => ~X2) & ((X0 & X5 & X8) => ~X2) & ((X4 & X5) => ~X10) & ((~X8 & ~X2 & X4) => X3) & ((~X4 & X9 & X3) => ~X10) & ((X6 & ~X1 & ~X7) => X10) & ((~X8 & ~X2 & X3) => ~X9) & ((~X4 & ~X3) => X8) & ((X0 & X2) => X10) & ((X9 & X8) => X10) & ((~X8 & X2 & X6) => X7) & ((X3 & ~X4) => X2) & ((X0 & X1) => X2)) => ((X0 & X5) => (X7 & ~X9)))),
0.08/0.43	  inference(negated_conjecture,[status(cth)],[f1])).
0.08/0.43	tff(f3,plain,(
0.08/0.43	  ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((~X3 & ~X1) => X4) & ((X4 & ~X6 & ~X7) => X1) & ((X5 & ~X8 & ~X6 & X3) => ~X2) & ((X0 & X5 & X8) => ~X2) & ((X4 & X5) => ~X10) & ((~X8 & ~X2 & X4) => X3) & ((~X4 & X9 & X3) => ~X10) & ((X6 & ~X1 & ~X7) => X10) & ((~X8 & ~X2 & X3) => ~X9) & ((~X4 & ~X3) => X8) & ((X0 & X2) => X10) & ((X9 & X8) => X10) & ((~X8 & X2 & X6) => X7) & ((X3 & ~X4) => X2) & ((X0 & X1) => X2)) => ((X0 & X5) => (X7 & ~X9)))),
0.08/0.43	  inference(rectify,[],[f2])).
0.08/0.43	tff(f4,plain,(
0.08/0.43	  ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((~ ($true = X3) & ~ ($true = X1)) => ($true = X4)) & ((($true = X4) & ~ ($true = X6) & ~ ($true = X7)) => ($true = X1)) & ((($true = X5) & ~ ($true = X8) & ~ ($true = X6) & ($true = X3)) => ~ ($true = X2)) & ((($true = X0) & ($true = X5) & ($true = X8)) => ~ ($true = X2)) & ((($true = X4) & ($true = X5)) => ~ ($true = X10)) & ((~ ($true = X8) & ~ ($true = X2) & ($true = X4)) => ($true = X3)) & ((~ ($true = X4) & ($true = X9) & ($true = X3)) => ~ ($true = X10)) & ((($true = X6) & ~ ($true = X1) & ~ ($true = X7)) => ($true = X10)) & ((~ ($true = X8) & ~ ($true = X2) & ($true = X3)) => ~ ($true = X9)) & ((~ ($true = X4) & ~ ($true = X3)) => ($true = X8)) & ((($true = X0) & ($true = X2)) => ($true = X10)) & ((($true = X9) & ($true = X8)) => ($true = X10)) & ((~ ($true = X8) & ($true = X2) & ($true = X6)) => ($true = X7)) & ((($true = X3) & ~ ($true = X4)) => ($true = X2)) & ((($true = X0) & ($true = X1)) => ($true = X2))) => ((($true = X0) & ($true = X5)) => (($true = X7) & ~ ($true = X9))))),
0.08/0.43	  inference(fool_elimination,[],[f3])).
0.08/0.43	tff(f5,plain,(
0.08/0.43	  ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((($true != X3) & ($true != X1)) => ($true = X4)) & ((($true = X4) & ($true != X6) & ($true != X7)) => ($true = X1)) & ((($true = X5) & ($true != X8) & ($true != X6) & ($true = X3)) => ($true != X2)) & ((($true = X0) & ($true = X5) & ($true = X8)) => ($true != X2)) & ((($true = X4) & ($true = X5)) => ($true != X10)) & ((($true != X8) & ($true != X2) & ($true = X4)) => ($true = X3)) & ((($true != X4) & ($true = X9) & ($true = X3)) => ($true != X10)) & ((($true = X6) & ($true != X1) & ($true != X7)) => ($true = X10)) & ((($true != X8) & ($true != X2) & ($true = X3)) => ($true != X9)) & ((($true != X4) & ($true != X3)) => ($true = X8)) & ((($true = X0) & ($true = X2)) => ($true = X10)) & ((($true = X9) & ($true = X8)) => ($true = X10)) & ((($true != X8) & ($true = X2) & ($true = X6)) => ($true = X7)) & ((($true = X3) & ($true != X4)) => ($true = X2)) & ((($true = X0) & ($true = X1)) => ($true = X2))) => ((($true = X0) & ($true = X5)) => (($true = X7) & ($true != X9))))),
0.08/0.43	  inference(flattening,[],[f4])).
0.08/0.43	tff(f6,plain,(
0.08/0.43	  ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : (((($true != X7) | ($true = X9)) & (($true = X0) & ($true = X5))) & ((($true = X4) | (($true = X3) | ($true = X1))) & (($true = X1) | (($true != X4) | ($true = X6) | ($true = X7))) & (($true != X2) | (($true != X5) | ($true = X8) | ($true = X6) | ($true != X3))) & (($true != X2) | (($true != X0) | ($true != X5) | ($true != X8))) & (($true != X10) | (($true != X4) | ($true != X5))) & (($true = X3) | (($true = X8) | ($true = X2) | ($true != X4))) & (($true != X10) | (($true = X4) | ($true != X9) | ($true != X3))) & (($true = X10) | (($true != X6) | ($true = X1) | ($true = X7))) & (($true != X9) | (($true = X8) | ($true = X2) | ($true != X3))) & (($true = X8) | (($true = X4) | ($true = X3))) & (($true = X10) | (($true != X0) | ($true != X2))) & (($true = X10) | (($true != X9) | ($true != X8))) & (($true = X7) | (($true = X8) | ($true != X2) | ($true != X6))) & (($true = X2) | (($true != X3) | ($true = X4))) & (($true = X2) | (($true != X0) | ($true != X1)))))),
0.08/0.43	  inference(ennf_transformation,[],[f5])).
0.08/0.43	tff(f7,plain,(
0.08/0.43	  ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((($true != X7) | ($true = X9)) & ($true = X0) & ($true = X5) & (($true = X4) | ($true = X3) | ($true = X1)) & (($true = X1) | ($true != X4) | ($true = X6) | ($true = X7)) & (($true != X2) | ($true != X5) | ($true = X8) | ($true = X6) | ($true != X3)) & (($true != X2) | ($true != X0) | ($true != X5) | ($true != X8)) & (($true != X10) | ($true != X4) | ($true != X5)) & (($true = X3) | ($true = X8) | ($true = X2) | ($true != X4)) & (($true != X10) | ($true = X4) | ($true != X9) | ($true != X3)) & (($true = X10) | ($true != X6) | ($true = X1) | ($true = X7)) & (($true != X9) | ($true = X8) | ($true = X2) | ($true != X3)) & (($true = X8) | ($true = X4) | ($true = X3)) & (($true = X10) | ($true != X0) | ($true != X2)) & (($true = X10) | ($true != X9) | ($true != X8)) & (($true = X7) | ($true = X8) | ($true != X2) | ($true != X6)) & (($true = X2) | ($true != X3) | ($true = X4)) & (($true = X2) | ($true != X0) | ($true != X1)))),
0.08/0.43	  inference(flattening,[],[f6])).
0.08/0.43	tff(f8,plain,(
0.08/0.43	  (($true != sK7) | ($true = sK9)) & ($true = sK0) & ($true = sK5) & (($true = sK4) | ($true = sK3) | ($true = sK1)) & (($true = sK1) | ($true != sK4) | ($true = sK6) | ($true = sK7)) & (($true != sK2) | ($true != sK5) | ($true = sK8) | ($true = sK6) | ($true != sK3)) & (($true != sK2) | ($true != sK0) | ($true != sK5) | ($true != sK8)) & (($true != sK10) | ($true != sK4) | ($true != sK5)) & (($true = sK3) | ($true = sK8) | ($true = sK2) | ($true != sK4)) & (($true != sK10) | ($true = sK4) | ($true != sK9) | ($true != sK3)) & (($true = sK10) | ($true != sK6) | ($true = sK1) | ($true = sK7)) & (($true != sK9) | ($true = sK8) | ($true = sK2) | ($true != sK3)) & (($true = sK8) | ($true = sK4) | ($true = sK3)) & (($true = sK10) | ($true != sK0) | ($true != sK2)) & (($true = sK10) | ($true != sK9) | ($true != sK8)) & (($true = sK7) | ($true = sK8) | ($true != sK2) | ($true != sK6)) & (($true = sK2) | ($true != sK3) | ($true = sK4)) & (($true = sK2) | ($true != sK0) | ($true != sK1))),
0.08/0.43	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f7])).
0.08/0.43	tff(f9,plain,(
0.08/0.43	  ($true = sK2) | ($true != sK0) | ($true != sK1)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f10,plain,(
0.08/0.43	  ($true = sK2) | ($true != sK3) | ($true = sK4)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f11,plain,(
0.08/0.43	  ($true = sK7) | ($true = sK8) | ($true != sK2) | ($true != sK6)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f12,plain,(
0.08/0.43	  ($true = sK10) | ($true != sK9) | ($true != sK8)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f13,plain,(
0.08/0.43	  ($true = sK10) | ($true != sK0) | ($true != sK2)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f14,plain,(
0.08/0.43	  ($true = sK8) | ($true = sK4) | ($true = sK3)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f15,plain,(
0.08/0.43	  ($true != sK9) | ($true = sK8) | ($true = sK2) | ($true != sK3)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f16,plain,(
0.08/0.43	  ($true = sK10) | ($true != sK6) | ($true = sK1) | ($true = sK7)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f17,plain,(
0.08/0.43	  ($true != sK10) | ($true = sK4) | ($true != sK9) | ($true != sK3)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f18,plain,(
0.08/0.43	  ($true = sK3) | ($true = sK8) | ($true = sK2) | ($true != sK4)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f19,plain,(
0.08/0.43	  ($true != sK10) | ($true != sK4) | ($true != sK5)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f20,plain,(
0.08/0.43	  ($true != sK2) | ($true != sK0) | ($true != sK5) | ($true != sK8)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f21,plain,(
0.08/0.43	  ($true != sK2) | ($true != sK5) | ($true = sK8) | ($true = sK6) | ($true != sK3)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f22,plain,(
0.08/0.43	  ($true = sK1) | ($true != sK4) | ($true = sK6) | ($true = sK7)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f23,plain,(
0.08/0.43	  ($true = sK4) | ($true = sK3) | ($true = sK1)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f24,plain,(
0.08/0.43	  ($true = sK5)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f25,plain,(
0.08/0.43	  ($true = sK0)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f26,plain,(
0.08/0.43	  ($true != sK7) | ($true = sK9)),
0.08/0.43	  inference(cnf_transformation,[],[f8])).
0.08/0.43	tff(f29,plain,(
0.08/0.43	  ($true != sK2) | ($true != $true) | ($true = sK8) | ($true = sK6) | ($true != sK3)),
0.08/0.43	  inference(definition_unfolding,[],[f21,f24])).
0.08/0.43	tff(f30,plain,(
0.08/0.43	  ($true != sK2) | ($true != $true) | ($true != $true) | ($true != sK8)),
0.08/0.43	  inference(definition_unfolding,[],[f20,f25,f24])).
0.08/0.43	tff(f31,plain,(
0.08/0.43	  ($true != sK10) | ($true != sK4) | ($true != $true)),
0.08/0.43	  inference(definition_unfolding,[],[f19,f24])).
0.08/0.43	tff(f32,plain,(
0.08/0.43	  ($true = sK10) | ($true != $true) | ($true != sK2)),
0.08/0.43	  inference(definition_unfolding,[],[f13,f25])).
0.08/0.43	tff(f33,plain,(
0.08/0.43	  ($true = sK2) | ($true != $true) | ($true != sK1)),
0.08/0.43	  inference(definition_unfolding,[],[f9,f25])).
0.08/0.43	tff(f34,plain,(
0.08/0.43	  ($true = sK2) | ($true != sK1)),
0.08/0.43	  inference(trivial_inequality_removal,[],[f33])).
0.08/0.43	tff(f35,plain,(
0.08/0.43	  ($true = sK10) | ($true != sK2)),
0.08/0.43	  inference(trivial_inequality_removal,[],[f32])).
0.08/0.43	tff(f36,plain,(
0.08/0.43	  ($true != sK10) | ($true != sK4)),
0.08/0.43	  inference(trivial_inequality_removal,[],[f31])).
0.08/0.43	tff(f37,plain,(
0.08/0.43	  ($true != sK2) | ($true != $true) | ($true != sK8)),
0.08/0.43	  inference(duplicate_literal_removal,[],[f30])).
0.08/0.43	tff(f38,plain,(
0.08/0.43	  ($true != sK2) | ($true != sK8)),
0.08/0.43	  inference(trivial_inequality_removal,[],[f37])).
0.08/0.43	tff(f39,plain,(
0.08/0.43	  ($true != sK2) | ($true = sK8) | ($true = sK6) | ($true != sK3)),
0.08/0.43	  inference(trivial_inequality_removal,[],[f29])).
0.08/0.43	tff(f41,definition,(
0.08/0.43	  spl11_1 <=> ($true = sK1)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
0.08/0.43	tff(f45,definition,(
0.08/0.43	  spl11_2 <=> ($true = sK2)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
0.08/0.43	tff(f48,plain,(
0.08/0.43	  ~spl11_1 | spl11_2),
0.08/0.43	  inference(avatar_split_clause,[],[f34,f45,f41])).
0.08/0.43	tff(f50,definition,(
0.08/0.43	  spl11_3 <=> ($true = sK4)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition])).
0.08/0.43	tff(f54,definition,(
0.08/0.43	  spl11_4 <=> ($true = sK3)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition])).
0.08/0.43	tff(f57,plain,(
0.08/0.43	  spl11_3 | ~spl11_4 | spl11_2),
0.08/0.43	  inference(avatar_split_clause,[],[f10,f45,f54,f50])).
0.08/0.43	tff(f59,definition,(
0.08/0.43	  spl11_5 <=> ($true = sK6)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition])).
0.08/0.43	tff(f63,definition,(
0.08/0.43	  spl11_6 <=> ($true = sK8)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition])).
0.08/0.43	tff(f67,definition,(
0.08/0.43	  spl11_7 <=> ($true = sK7)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition])).
0.08/0.43	tff(f70,plain,(
0.08/0.43	  ~spl11_5 | ~spl11_2 | spl11_6 | spl11_7),
0.08/0.43	  inference(avatar_split_clause,[],[f11,f67,f63,f45,f59])).
0.08/0.43	tff(f72,definition,(
0.08/0.43	  spl11_8 <=> ($true = sK9)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition])).
0.08/0.43	tff(f76,definition,(
0.08/0.43	  spl11_9 <=> ($true = sK10)),
0.08/0.43	  introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition])).
0.08/0.43	tff(f79,plain,(
0.08/0.43	  ~spl11_6 | ~spl11_8 | spl11_9),
0.08/0.43	  inference(avatar_split_clause,[],[f12,f76,f72,f63])).
0.08/0.43	tff(f80,plain,(
0.08/0.43	  ~spl11_2 | spl11_9),
0.08/0.43	  inference(avatar_split_clause,[],[f35,f76,f45])).
0.08/0.43	tff(f81,plain,(
0.08/0.43	  spl11_4 | spl11_3 | spl11_6),
0.08/0.43	  inference(avatar_split_clause,[],[f14,f63,f50,f54])).
0.08/0.43	tff(f82,plain,(
0.08/0.43	  ~spl11_4 | spl11_2 | spl11_6 | ~spl11_8),
0.08/0.43	  inference(avatar_split_clause,[],[f15,f72,f63,f45,f54])).
0.08/0.43	tff(f83,plain,(
0.08/0.43	  spl11_7 | spl11_1 | ~spl11_5 | spl11_9),
0.08/0.43	  inference(avatar_split_clause,[],[f16,f76,f59,f41,f67])).
0.08/0.43	tff(f84,plain,(
0.08/0.43	  ~spl11_4 | ~spl11_8 | spl11_3 | ~spl11_9),
0.08/0.43	  inference(avatar_split_clause,[],[f17,f76,f50,f72,f54])).
0.08/0.43	tff(f85,plain,(
0.08/0.43	  ~spl11_3 | spl11_2 | spl11_6 | spl11_4),
0.08/0.43	  inference(avatar_split_clause,[],[f18,f54,f63,f45,f50])).
0.08/0.43	tff(f86,plain,(
0.08/0.43	  ~spl11_3 | ~spl11_9),
0.08/0.43	  inference(avatar_split_clause,[],[f36,f76,f50])).
0.08/0.43	tff(f87,plain,(
0.08/0.43	  ~spl11_6 | ~spl11_2),
0.08/0.43	  inference(avatar_split_clause,[],[f38,f45,f63])).
0.08/0.43	tff(f88,plain,(
0.08/0.43	  ~spl11_4 | spl11_5 | spl11_6 | ~spl11_2),
0.08/0.43	  inference(avatar_split_clause,[],[f39,f45,f63,f59,f54])).
0.08/0.43	tff(f89,plain,(
0.08/0.43	  spl11_7 | spl11_5 | ~spl11_3 | spl11_1),
0.08/0.43	  inference(avatar_split_clause,[],[f22,f41,f50,f59,f67])).
0.08/0.43	tff(f90,plain,(
0.08/0.43	  spl11_1 | spl11_4 | spl11_3),
0.08/0.43	  inference(avatar_split_clause,[],[f23,f50,f54,f41])).
0.08/0.43	tff(f91,plain,(
0.08/0.43	  spl11_8 | ~spl11_7),
0.08/0.43	  inference(avatar_split_clause,[],[f26,f67,f72])).
0.08/0.43	cnf(s1, plain, ~spl11_1 | spl11_2, inference(sat_conversion,[],[f48])).
0.08/0.43	cnf(s2, plain, spl11_2 | spl11_3 | ~spl11_4, inference(sat_conversion,[],[f57])).
0.08/0.43	cnf(s3, plain, ~spl11_2 | ~spl11_5 | spl11_6 | spl11_7, inference(sat_conversion,[],[f70])).
0.08/0.43	cnf(s4, plain, ~spl11_6 | ~spl11_8 | spl11_9, inference(sat_conversion,[],[f79])).
0.08/0.43	cnf(s5, plain, ~spl11_2 | spl11_9, inference(sat_conversion,[],[f80])).
0.08/0.43	cnf(s6, plain, spl11_3 | spl11_4 | spl11_6, inference(sat_conversion,[],[f81])).
0.08/0.43	cnf(s7, plain, spl11_2 | ~spl11_4 | spl11_6 | ~spl11_8, inference(sat_conversion,[],[f82])).
0.08/0.43	cnf(s8, plain, spl11_1 | ~spl11_5 | spl11_7 | spl11_9, inference(sat_conversion,[],[f83])).
0.08/0.43	cnf(s9, plain, spl11_3 | ~spl11_4 | ~spl11_8 | ~spl11_9, inference(sat_conversion,[],[f84])).
0.08/0.43	cnf(s10, plain, spl11_2 | ~spl11_3 | spl11_4 | spl11_6, inference(sat_conversion,[],[f85])).
0.08/0.43	cnf(s11, plain, ~spl11_3 | ~spl11_9, inference(sat_conversion,[],[f86])).
0.08/0.43	cnf(s12, plain, ~spl11_2 | ~spl11_6, inference(sat_conversion,[],[f87])).
0.08/0.43	cnf(s13, plain, ~spl11_2 | ~spl11_4 | spl11_5 | spl11_6, inference(sat_conversion,[],[f88])).
0.08/0.43	cnf(s14, plain, spl11_1 | ~spl11_3 | spl11_5 | spl11_7, inference(sat_conversion,[],[f89])).
0.08/0.43	cnf(s15, plain, spl11_1 | spl11_3 | spl11_4, inference(sat_conversion,[],[f90])).
0.08/0.43	cnf(s16, plain, ~spl11_7 | spl11_8, inference(sat_conversion,[],[f91])).
0.08/0.43	cnf(s17, plain, spl11_3 | spl11_2 | spl11_1, inference(rat,[],[s15,s2])).
0.08/0.43	cnf(s18, plain, spl11_7 | ~spl11_3 | spl11_1, inference(rat,[],[s14,s8,s11])).
0.08/0.43	cnf(s19, plain, spl11_2 | spl11_1, inference(rat,[],[s10,s7,s4,s16,s18,s11,s17])).
0.08/0.43	cnf(s20, plain, spl11_1, inference(rat,[],[s3,s16,s13,s9,s15,s11,s5,s12,s19])).
0.08/0.43	cnf(s21, plain, spl11_2, inference(rat,[],[s1,s20])).
0.08/0.43	cnf(s22, plain, ~spl11_6, inference(rat,[],[s12,s21])).
0.08/0.43	cnf(s23, plain, spl11_9, inference(rat,[],[s5,s21])).
0.08/0.43	cnf(s24, plain, ~spl11_3, inference(rat,[],[s11,s23])).
0.08/0.43	cnf(s25, plain, spl11_4, inference(rat,[],[s6,s22,s24])).
0.08/0.43	cnf(s26, plain, ~spl11_8, inference(rat,[],[s9,s24,s23,s25])).
0.08/0.43	cnf(s27, plain, spl11_5, inference(rat,[],[s13,s22,s21,s25])).
0.08/0.43	cnf(s28, plain, ~spl11_7, inference(rat,[],[s16,s26])).
0.08/0.43	cnf(s29, plain, $false, inference(rat,[],[s3,s21,s22,s28,s27])).
0.08/0.43	tff(f92,plain,(
0.08/0.43	  $false),
0.08/0.43	  inference(avatar_sat_refutation,[],[s29])).
0.08/0.43	% SZS output end Proof for theBenchmark
0.08/0.43	% (2827349)------------------------------
0.08/0.43	% (2827349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.08/0.43	% (2827349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.08/0.43	% (2827349)CaDiCaL version: 2.1.3
0.08/0.43	% (2827349)Termination reason: Refutation
0.08/0.43	% (2827349)Time elapsed: 0.002 s
0.08/0.43	% (2827349)Peak memory usage: 12 MB
0.08/0.43	% (2827349)Instructions burned: 5 (million)
0.08/0.43	% (2827344)Success in time 0.025 s
0.08/0.43	% Vampire exiting
0.08/0.43	EOF