0.00/0.05	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command    : run_vampire %s %d THM
0.14/0.38	% Computer   : n005.cluster.edu
0.14/0.38	% Model      : x86_64 x86_64
0.14/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.38	% Memory     : 8046.5625MB
0.14/0.38	% OS         : Linux 6.8.0-71-generic
0.14/0.38	% CPULimit   : 1440
0.14/0.38	% WCLimit    : 180
0.14/0.38	% DateTime   : Mon Jul 27 10:22:19 UTC 2026
0.14/0.39	% CPUTime    : 
0.14/0.42	This is a FOF_ problem
0.14/0.43	Running first-order theorem proving
0.14/0.43	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.54	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.54	% (2912497)lrs+1011_1_sp=occurrence:random_seed=1219313488:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.21/0.58	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.58	% (2912503)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3136879859:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.21/0.58	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.58	% (2912502)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=4216698398:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.21/0.59	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.59	% (2912501)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1403422105:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.21/0.60	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.60	% (2912500)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3049255771:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.21/0.60	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.60	% (2912498)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2887909260:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.21/0.60	% (2912495)Running in auto input_syntax mode. Trying TPTP
0.21/0.60	% (2912499)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=1978932385:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
1.11/0.63	% (2912502)First to succeed.
1.11/0.63	% (2912502)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2912495"
1.30/0.64	% (2912495)Running in auto input_syntax mode. Trying TPTP
1.30/0.64	% (2912502)Refutation found. Thanks to Tanya!
1.30/0.64	% SZS status Theorem for theBenchmark
1.30/0.64	% SZS output start Proof for theBenchmark
1.30/0.64	fof(f1219,plain,(
1.30/0.64	  $false),
1.30/0.64	  inference(avatar_sat_refutation,[],[f669,f674,f679,f875,f1218])).
1.30/0.64	fof(f1218,plain,(
1.30/0.64	  spl33_1 | spl33_3 | spl33_4),
1.30/0.64	  inference(avatar_contradiction_clause,[],[f1217])).
1.30/0.64	fof(f1217,plain,(
1.30/0.64	  $false | (spl33_1 | spl33_3 | spl33_4)),
1.30/0.64	  inference(subsumption_resolution,[],[f1216,f678])).
1.30/0.64	fof(f678,plain,(
1.30/0.64	  n1 != sK31 | spl33_4),
1.30/0.64	  inference(avatar_component_clause,[],[f676])).
1.30/0.64	fof(f676,definition,(
1.30/0.64	  spl33_4 <=> n1 = sK31),
1.30/0.64	  introduced(definition,[new_symbols(naming,[spl33_4])],[avatar_definition])).
1.30/0.64	fof(f1216,plain,(
1.30/0.64	  n1 = sK31 | (spl33_1 | spl33_3)),
1.30/0.64	  inference(subsumption_resolution,[],[f1214,f673])).
1.30/0.64	fof(f673,plain,(
1.30/0.64	  n2 != sK31 | spl33_3),
1.30/0.64	  inference(avatar_component_clause,[],[f671])).
1.30/0.64	fof(f671,definition,(
1.30/0.64	  spl33_3 <=> n2 = sK31),
1.30/0.64	  introduced(definition,[new_symbols(naming,[spl33_3])],[avatar_definition])).
1.30/0.64	fof(f1214,plain,(
1.30/0.64	  n2 = sK31 | n1 = sK31 | spl33_1),
1.30/0.64	  inference(subsumption_resolution,[],[f1211,f664])).
1.30/0.64	fof(f664,plain,(
1.30/0.64	  n0 != sK31 | spl33_1),
1.30/0.64	  inference(avatar_component_clause,[],[f662])).
1.30/0.64	fof(f662,definition,(
1.30/0.64	  spl33_1 <=> n0 = sK31),
1.30/0.64	  introduced(definition,[new_symbols(naming,[spl33_1])],[avatar_definition])).
1.30/0.64	fof(f1211,plain,(
1.30/0.64	  n0 = sK31 | n2 = sK31 | n1 = sK31),
1.30/0.64	  inference(subsumption_resolution,[],[f1210,f609])).
1.30/0.64	fof(f609,plain,(
1.30/0.64	  ~leq(n0,sK31)),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f361])).
1.30/0.64	fof(f361,plain,(
1.30/0.64	  leq(n0,sK31)),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f171,plain,(
1.30/0.64	  ? [X4,X5] : (use != a_select3(z_defuse,X4,X5) & (n0 != X4 | pv5 != X5) & (n2 != X4 | pv5 != X5) & (pv5 != X5 | n1 != X4) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X5) & leq(n0,X4)) & use = a_select2(rho_defuse,n0) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : (use = a_select3(u_defuse,X0,X1) | ~leq(n0,X1) | ~leq(X0,n2) | ~leq(X1,pred(pv5)) | ~leq(n0,X0)) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(n0,X3) | ~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X2)) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n3) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1)),
1.30/0.64	  inference(flattening,[],[f170])).
1.30/0.64	fof(f170,plain,(
1.30/0.64	  ? [X4,X5] : ((use != a_select3(z_defuse,X4,X5) & ((n0 != X4 | pv5 != X5) & (n2 != X4 | pv5 != X5) & (pv5 != X5 | n1 != X4))) & (leq(X5,pv5) & leq(X4,n2) & leq(n0,X5) & leq(n0,X4))) & (use = a_select2(rho_defuse,n0) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : (use = a_select3(u_defuse,X0,X1) | (~leq(n0,X1) | ~leq(X0,n2) | ~leq(X1,pred(pv5)) | ~leq(n0,X0))) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | (~leq(n0,X3) | ~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X2))) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n3) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1))),
1.30/0.64	  inference(ennf_transformation,[],[f116])).
1.30/0.64	fof(f116,plain,(
1.30/0.64	  ~((use = a_select2(rho_defuse,n0) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : ((leq(n0,X1) & leq(X0,n2) & leq(X1,pred(pv5)) & leq(n0,X0)) => use = a_select3(u_defuse,X0,X1)) & ! [X2,X3] : ((leq(n0,X3) & leq(X2,n2) & leq(X3,pred(pv5)) & leq(n0,X2)) => use = a_select3(z_defuse,X2,X3)) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n3) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1)) => ! [X4,X5] : ((leq(X5,pv5) & leq(X4,n2) & leq(n0,X5) & leq(n0,X4)) => ((~(n0 = X4 & pv5 = X5) & ~(n2 = X4 & pv5 = X5) & ~(pv5 = X5 & n1 = X4)) => use = a_select3(z_defuse,X4,X5))))),
1.30/0.64	  inference(rectify,[],[f80])).
1.30/0.64	fof(f80,negated_conjecture,(
1.30/0.64	  ~((use = a_select2(rho_defuse,n0) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X7] : ((leq(n0,X7) & leq(X2,n2) & leq(X7,pred(pv5)) & leq(n0,X2)) => use = a_select3(u_defuse,X2,X7)) & ! [X6,X13] : ((leq(n0,X13) & leq(X6,n2) & leq(X13,pred(pv5)) & leq(n0,X6)) => use = a_select3(z_defuse,X6,X13)) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n3) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1)) => ! [X14,X15] : ((leq(X15,pv5) & leq(X14,n2) & leq(n0,X15) & leq(n0,X14)) => ((~(n0 = X14 & pv5 = X15) & ~(n2 = X14 & pv5 = X15) & ~(pv5 = X15 & n1 = X14)) => use = a_select3(z_defuse,X14,X15))))),
1.30/0.64	  inference(negated_conjecture,[status(cth)],[f79])).
1.30/0.64	fof(f79,conjecture,(
1.30/0.64	  (use = a_select2(rho_defuse,n0) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n4) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X7] : ((leq(n0,X7) & leq(X2,n2) & leq(X7,pred(pv5)) & leq(n0,X2)) => use = a_select3(u_defuse,X2,X7)) & ! [X6,X13] : ((leq(n0,X13) & leq(X6,n2) & leq(X13,pred(pv5)) & leq(n0,X6)) => use = a_select3(z_defuse,X6,X13)) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n3) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1)) => ! [X14,X15] : ((leq(X15,pv5) & leq(X14,n2) & leq(n0,X15) & leq(n0,X14)) => ((~(n0 = X14 & pv5 = X15) & ~(n2 = X14 & pv5 = X15) & ~(pv5 = X15 & n1 = X14)) => use = a_select3(z_defuse,X14,X15)))),
1.30/0.64	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
1.30/0.64	fof(f1210,plain,(
1.30/0.64	  leq(n0,sK31) | n0 = sK31 | n2 = sK31 | n1 = sK31),
1.30/0.64	  inference(resolution,[],[f588,f607])).
1.30/0.64	fof(f607,plain,(
1.30/0.64	  ~leq(sK31,n2)),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f363])).
1.30/0.64	fof(f363,plain,(
1.30/0.64	  leq(sK31,n2)),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f588,plain,(
1.30/0.64	  ( ! [X0] : (leq(X0,n2) | leq(n0,X0) | n0 = X0 | n2 = X0 | n1 = X0) )),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f342])).
1.30/0.64	fof(f342,plain,(
1.30/0.64	  ( ! [X0] : (~leq(X0,n2) | ~leq(n0,X0) | n0 = X0 | n2 = X0 | n1 = X0) )),
1.30/0.64	  inference(cnf_transformation,[],[f161])).
1.30/0.64	fof(f161,plain,(
1.30/0.64	  ! [X0] : (n1 = X0 | n2 = X0 | n0 = X0 | ~leq(n0,X0) | ~leq(X0,n2))),
1.30/0.64	  inference(flattening,[],[f160])).
1.30/0.64	fof(f160,plain,(
1.30/0.64	  ! [X0] : ((n1 = X0 | n2 = X0 | n0 = X0) | (~leq(n0,X0) | ~leq(X0,n2)))),
1.30/0.64	  inference(ennf_transformation,[],[f63])).
1.30/0.64	fof(f63,axiom,(
1.30/0.64	  ! [X0] : ((leq(n0,X0) & leq(X0,n2)) => (n1 = X0 | n2 = X0 | n0 = X0))),
1.30/0.64	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
1.30/0.64	fof(f875,plain,(
1.30/0.64	  spl33_2),
1.30/0.64	  inference(avatar_contradiction_clause,[],[f874])).
1.30/0.64	fof(f874,plain,(
1.30/0.64	  $false | spl33_2),
1.30/0.64	  inference(subsumption_resolution,[],[f870,f606])).
1.30/0.64	fof(f606,plain,(
1.30/0.64	  ~leq(sK32,pv5)),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f364])).
1.30/0.64	fof(f364,plain,(
1.30/0.64	  leq(sK32,pv5)),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f870,plain,(
1.30/0.64	  leq(sK32,pv5) | spl33_2),
1.30/0.64	  inference(subsumption_resolution,[],[f859,f726])).
1.30/0.64	fof(f726,plain,(
1.30/0.64	  gt(pv5,sK32)),
1.30/0.64	  inference(resolution,[],[f477,f684])).
1.30/0.64	fof(f684,plain,(
1.30/0.64	  leq(sK32,minus(pv5,n1))),
1.30/0.64	  inference(subsumption_resolution,[],[f683,f609])).
1.30/0.64	fof(f683,plain,(
1.30/0.64	  leq(sK32,minus(pv5,n1)) | leq(n0,sK31)),
1.30/0.64	  inference(subsumption_resolution,[],[f682,f608])).
1.30/0.64	fof(f608,plain,(
1.30/0.64	  ~leq(n0,sK32)),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f362])).
1.30/0.64	fof(f362,plain,(
1.30/0.64	  leq(n0,sK32)),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f682,plain,(
1.30/0.64	  leq(sK32,minus(pv5,n1)) | leq(n0,sK32) | leq(n0,sK31)),
1.30/0.64	  inference(subsumption_resolution,[],[f681,f607])).
1.30/0.64	fof(f681,plain,(
1.30/0.64	  leq(sK32,minus(pv5,n1)) | leq(sK31,n2) | leq(n0,sK32) | leq(n0,sK31)),
1.30/0.64	  inference(trivial_inequality_removal,[],[f680])).
1.30/0.64	fof(f680,plain,(
1.30/0.64	  use != use | leq(sK32,minus(pv5,n1)) | leq(sK31,n2) | leq(n0,sK32) | leq(n0,sK31)),
1.30/0.64	  inference(superposition,[],[f365,f604])).
1.30/0.64	fof(f604,plain,(
1.30/0.64	  ( ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | leq(X3,minus(pv5,n1)) | leq(X2,n2) | leq(n0,X3) | leq(n0,X2)) )),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f435])).
1.30/0.64	fof(f435,plain,(
1.30/0.64	  ( ! [X2,X3] : (~leq(n0,X2) | ~leq(X3,minus(pv5,n1)) | ~leq(X2,n2) | ~leq(n0,X3) | use = a_select3(z_defuse,X2,X3)) )),
1.30/0.64	  inference(definition_unfolding,[],[f367,f317])).
1.30/0.64	fof(f317,plain,(
1.30/0.64	  ( ! [X0] : (pred(X0) = minus(X0,n1)) )),
1.30/0.64	  inference(cnf_transformation,[],[f43])).
1.30/0.64	fof(f43,axiom,(
1.30/0.64	  ! [X0] : pred(X0) = minus(X0,n1)),
1.30/0.64	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
1.30/0.64	fof(f367,plain,(
1.30/0.64	  ( ! [X2,X3] : (~leq(n0,X2) | ~leq(X3,pred(pv5)) | ~leq(X2,n2) | ~leq(n0,X3) | use = a_select3(z_defuse,X2,X3)) )),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f365,plain,(
1.30/0.64	  use != a_select3(z_defuse,sK31,sK32)),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f477,plain,(
1.30/0.64	  ( ! [X0,X1] : (~leq(X0,minus(X1,n1)) | gt(X1,X0)) )),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f413])).
1.30/0.64	fof(f413,plain,(
1.30/0.64	  ( ! [X0,X1] : (leq(X0,minus(X1,n1)) | ~gt(X1,X0)) )),
1.30/0.64	  inference(definition_unfolding,[],[f210,f317])).
1.30/0.64	fof(f210,plain,(
1.30/0.64	  ( ! [X0,X1] : (leq(X0,pred(X1)) | ~gt(X1,X0)) )),
1.30/0.64	  inference(cnf_transformation,[],[f8])).
1.30/0.64	fof(f8,axiom,(
1.30/0.64	  ! [X0,X1] : (gt(X1,X0) <=> leq(X0,pred(X1)))),
1.30/0.64	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
1.30/0.64	fof(f859,plain,(
1.30/0.64	  ~gt(pv5,sK32) | leq(sK32,pv5) | spl33_2),
1.30/0.64	  inference(extensionality_resolution,[],[f535,f668])).
1.30/0.64	fof(f668,plain,(
1.30/0.64	  pv5 != sK32 | spl33_2),
1.30/0.64	  inference(avatar_component_clause,[],[f666])).
1.30/0.64	fof(f666,definition,(
1.30/0.64	  spl33_2 <=> pv5 = sK32),
1.30/0.64	  introduced(definition,[new_symbols(naming,[spl33_2])],[avatar_definition])).
1.30/0.64	fof(f535,plain,(
1.30/0.64	  ( ! [X0,X1] : (~gt(X1,X0) | leq(X0,X1) | X0 = X1) )),
1.30/0.64	  inference(consistent_polarity_flipping,[],[f280])).
1.30/0.64	fof(f280,plain,(
1.30/0.64	  ( ! [X0,X1] : (X0 = X1 | ~leq(X0,X1) | gt(X1,X0)) )),
1.30/0.64	  inference(cnf_transformation,[],[f144])).
1.30/0.64	fof(f144,plain,(
1.30/0.64	  ! [X0,X1] : (gt(X1,X0) | ~leq(X0,X1) | X0 = X1)),
1.30/0.64	  inference(flattening,[],[f143])).
1.30/0.64	fof(f143,plain,(
1.30/0.64	  ! [X0,X1] : (gt(X1,X0) | (~leq(X0,X1) | X0 = X1))),
1.30/0.64	  inference(ennf_transformation,[],[f34])).
1.30/0.64	fof(f34,axiom,(
1.30/0.64	  ! [X0,X1] : ((leq(X0,X1) & X0 != X1) => gt(X1,X0))),
1.30/0.64	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
1.30/0.64	fof(f679,plain,(
1.30/0.64	  ~spl33_2 | ~spl33_4),
1.30/0.64	  inference(avatar_split_clause,[],[f360,f676,f666])).
1.30/0.64	fof(f360,plain,(
1.30/0.64	  n1 != sK31 | pv5 != sK32),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f674,plain,(
1.30/0.64	  ~spl33_3 | ~spl33_2),
1.30/0.64	  inference(avatar_split_clause,[],[f359,f666,f671])).
1.30/0.64	fof(f359,plain,(
1.30/0.64	  pv5 != sK32 | n2 != sK31),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	fof(f669,plain,(
1.30/0.64	  ~spl33_1 | ~spl33_2),
1.30/0.64	  inference(avatar_split_clause,[],[f358,f666,f662])).
1.30/0.64	fof(f358,plain,(
1.30/0.64	  pv5 != sK32 | n0 != sK31),
1.30/0.64	  inference(cnf_transformation,[],[f171])).
1.30/0.64	% SZS output end Proof for theBenchmark
1.30/0.64	% (2912502)------------------------------
1.30/0.64	% (2912502)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
1.30/0.64	% (2912502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
1.30/0.64	% (2912502)Termination reason: Refutation
1.30/0.64	
1.30/0.64	% (2912502)Time elapsed: 0.052 s
1.30/0.64	% (2912502)Peak memory usage: 13 MB
1.30/0.64	% (2912502)Instructions burned: 50 (million)
1.30/0.64	% (2912502)------------------------------
1.30/0.64	% (2912502)------------------------------
1.30/0.64	% (2912495)Success in time 0.201 s
1.30/0.64	EOF