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 0.14/0.40 % Computer : n015.cluster.edu 0.14/0.40 % Model : x86_64 x86_64 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.40 % Memory : 8046.5625MB 0.14/0.40 % OS : Linux 6.8.0-71-generic 0.14/0.40 % CPULimit : 1440 0.14/0.40 % WCLimit : 180 0.14/0.40 % DateTime : Mon Jul 27 10:22:19 UTC 2026 0.14/0.41 % CPUTime : 0.14/0.45 This is a FOF_ problem 0.14/0.46 Running first-order theorem proving 0.14/0.46 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.24/0.55 % (874126)Running in auto input_syntax mode. Trying TPTP 0.24/0.55 % (874129)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2954412553:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874128)lrs+1011_1_sp=occurrence:random_seed=4086276850:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874131)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2746585325:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874132)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=782282865:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874134)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=170599537:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874130)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=101939920:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi) 0.90/0.60 % (874126)Running in auto input_syntax mode. Trying TPTP 0.90/0.60 % (874133)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=2879754913:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi) 0.90/0.64 % (874130)First to succeed. 0.90/0.65 % (874130)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-874126" 1.29/0.65 % (874133)Also succeeded, but the first one will report. 1.29/0.65 % (874126)Running in auto input_syntax mode. Trying TPTP 1.29/0.65 % (874130)Refutation found. Thanks to Tanya! 1.29/0.65 % SZS status Theorem for theBenchmark 1.29/0.65 % SZS output start Proof for theBenchmark 1.29/0.65 fof(f1329,plain,( 1.29/0.65 $false), 1.29/0.65 inference(avatar_sat_refutation,[],[f235,f240,f245,f577,f917,f953,f1327])). 1.29/0.65 fof(f1327,plain,( 1.29/0.65 spl2_1 | spl2_10 | ~spl2_17), 1.29/0.65 inference(avatar_contradiction_clause,[],[f1326])). 1.29/0.65 fof(f1326,plain,( 1.29/0.65 $false | (spl2_1 | spl2_10 | ~spl2_17)), 1.29/0.65 inference(subsumption_resolution,[],[f1313,f1217])). 1.29/0.65 fof(f1217,plain,( 1.29/0.65 leq(sK0,n1) | ~spl2_17), 1.29/0.65 inference(forward_demodulation,[],[f1212,f267])). 1.29/0.65 fof(f267,plain,( 1.29/0.65 n1 = pred(n2)), 1.29/0.65 inference(superposition,[],[f223,f246])). 1.29/0.65 fof(f246,plain,( 1.29/0.65 n2 = succ(n1)), 1.29/0.65 inference(backward_demodulation,[],[f203,f128])). 1.29/0.65 fof(f128,plain,( 1.29/0.65 n1 = succ(n0)), 1.29/0.65 inference(cnf_transformation,[],[f55])). 1.29/0.65 fof(f55,axiom,( 1.29/0.65 n1 = succ(n0)), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f203,plain,( 1.29/0.65 n2 = succ(succ(n0))), 1.29/0.65 inference(cnf_transformation,[],[f92])). 1.29/0.65 fof(f92,axiom,( 1.29/0.65 n2 = succ(succ(n0))), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f223,plain,( 1.29/0.65 ( ! [X0] : (pred(succ(X0)) = X0) )), 1.29/0.65 inference(cnf_transformation,[],[f5])). 1.29/0.65 fof(f5,axiom,( 1.29/0.65 ! [X0] : pred(succ(X0)) = X0), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f1212,plain,( 1.29/0.65 leq(sK0,pred(n2)) | ~spl2_17), 1.29/0.65 inference(unit_resulting_resolution,[],[f916,f221])). 1.29/0.65 fof(f221,plain,( 1.29/0.65 ( ! [X0,X1] : (leq(X0,pred(X1)) | ~gt(X1,X0)) )), 1.29/0.65 inference(cnf_transformation,[],[f125])). 1.29/0.65 fof(f125,plain,( 1.29/0.65 ! [X0,X1] : ((gt(X1,X0) | ~leq(X0,pred(X1))) & (leq(X0,pred(X1)) | ~gt(X1,X0)))), 1.29/0.65 inference(nnf_transformation,[],[f8])). 1.29/0.65 fof(f8,axiom,( 1.29/0.65 ! [X0,X1] : (gt(X1,X0) <=> leq(X0,pred(X1)))), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f916,plain,( 1.29/0.65 gt(n2,sK0) | ~spl2_17), 1.29/0.65 inference(avatar_component_clause,[],[f914])). 1.29/0.65 fof(f914,definition,( 1.29/0.65 spl2_17 <=> gt(n2,sK0)), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_17])],[avatar_definition])). 1.29/0.65 fof(f1313,plain,( 1.29/0.65 ~leq(sK0,n1) | (spl2_1 | spl2_10)), 1.29/0.65 inference(unit_resulting_resolution,[],[f230,f821,f216])). 1.29/0.65 fof(f216,plain,( 1.29/0.65 ( ! [X0,X1] : (~leq(X0,X1) | gt(X1,X0) | X0 = X1) )), 1.29/0.65 inference(cnf_transformation,[],[f116])). 1.29/0.65 fof(f116,plain,( 1.29/0.65 ! [X0,X1] : (gt(X1,X0) | ~leq(X0,X1) | X0 = X1)), 1.29/0.65 inference(flattening,[],[f115])). 1.29/0.65 fof(f115,plain,( 1.29/0.65 ! [X0,X1] : (gt(X1,X0) | (~leq(X0,X1) | X0 = X1))), 1.29/0.65 inference(ennf_transformation,[],[f34])). 1.29/0.65 fof(f34,axiom,( 1.29/0.65 ! [X0,X1] : ((leq(X0,X1) & X0 != X1) => gt(X1,X0))), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f821,plain,( 1.29/0.65 ~gt(n1,sK0) | spl2_10), 1.29/0.65 inference(forward_demodulation,[],[f818,f128])). 1.29/0.65 fof(f818,plain,( 1.29/0.65 ~gt(succ(n0),sK0) | spl2_10), 1.29/0.65 inference(unit_resulting_resolution,[],[f576,f213])). 1.29/0.65 fof(f213,plain,( 1.29/0.65 ( ! [X0,X1] : (~gt(succ(X1),X0) | leq(X0,X1)) )), 1.29/0.65 inference(cnf_transformation,[],[f124])). 1.29/0.65 fof(f124,plain,( 1.29/0.65 ! [X0,X1] : ((gt(succ(X1),X0) | ~leq(X0,X1)) & (leq(X0,X1) | ~gt(succ(X1),X0)))), 1.29/0.65 inference(nnf_transformation,[],[f27])). 1.29/0.65 fof(f27,axiom,( 1.29/0.65 ! [X0,X1] : (gt(succ(X1),X0) <=> leq(X0,X1))), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f576,plain,( 1.29/0.65 ~leq(sK0,n0) | spl2_10), 1.29/0.65 inference(avatar_component_clause,[],[f574])). 1.29/0.65 fof(f574,definition,( 1.29/0.65 spl2_10 <=> leq(sK0,n0)), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_10])],[avatar_definition])). 1.29/0.65 fof(f230,plain,( 1.29/0.65 n1 != sK0 | spl2_1), 1.29/0.65 inference(avatar_component_clause,[],[f228])). 1.29/0.65 fof(f228,definition,( 1.29/0.65 spl2_1 <=> n1 = sK0), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition])). 1.29/0.65 fof(f953,plain,( 1.29/0.65 spl2_2), 1.29/0.65 inference(avatar_contradiction_clause,[],[f952])). 1.29/0.65 fof(f952,plain,( 1.29/0.65 $false | spl2_2), 1.29/0.65 inference(subsumption_resolution,[],[f912,f234])). 1.29/0.65 fof(f234,plain,( 1.29/0.65 pv5 != sK1 | spl2_2), 1.29/0.65 inference(avatar_component_clause,[],[f232])). 1.29/0.65 fof(f232,definition,( 1.29/0.65 spl2_2 <=> pv5 = sK1), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition])). 1.29/0.65 fof(f912,plain,( 1.29/0.65 pv5 = sK1), 1.29/0.65 inference(subsumption_resolution,[],[f910,f367])). 1.29/0.65 fof(f367,plain,( 1.29/0.65 ~gt(pv5,sK1)), 1.29/0.65 inference(forward_demodulation,[],[f356,f220])). 1.29/0.65 fof(f220,plain,( 1.29/0.65 ( ! [X0] : (succ(pred(X0)) = X0) )), 1.29/0.65 inference(cnf_transformation,[],[f13])). 1.29/0.65 fof(f13,axiom,( 1.29/0.65 ! [X0] : succ(pred(X0)) = X0), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f356,plain,( 1.29/0.65 ~gt(succ(pred(pv5)),sK1)), 1.29/0.65 inference(unit_resulting_resolution,[],[f249,f213])). 1.29/0.65 fof(f249,plain,( 1.29/0.65 ~leq(sK1,pred(pv5))), 1.29/0.65 inference(unit_resulting_resolution,[],[f173,f172,f174,f179,f159])). 1.29/0.65 fof(f159,plain,( 1.29/0.65 ( ! [X2,X3] : (~leq(X3,pred(pv5)) | ~leq(n0,X2) | ~leq(X2,n2) | use = a_select3(u_defuse,X2,X3) | ~leq(n0,X3)) )), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f122,plain,( 1.29/0.65 (use != a_select3(u_defuse,sK0,sK1) & (pv5 != sK1 | n0 != sK0) & (n2 != sK0 | pv5 != sK1) & (pv5 != sK1 | n1 != sK0) & leq(sK1,pv5) & leq(sK0,n2) & leq(n0,sK1) & leq(n0,sK0)) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X2,X3] : (use = a_select3(u_defuse,X2,X3) | ~leq(n0,X2) | ~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X3)) & ! [X4,X5] : (use = a_select3(z_defuse,X4,X5) | ~leq(X4,n2) | ~leq(X5,pred(pv5)) | ~leq(n0,X5) | ~leq(n0,X4)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)), 1.29/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f120,f121])). 1.29/0.65 fof(f121,plain,( 1.29/0.65 ? [X0,X1] : (use != a_select3(u_defuse,X0,X1) & (pv5 != X1 | n0 != X0) & (n2 != X0 | pv5 != X1) & (pv5 != X1 | n1 != X0) & leq(X1,pv5) & leq(X0,n2) & leq(n0,X1) & leq(n0,X0)) => (use != a_select3(u_defuse,sK0,sK1) & (pv5 != sK1 | n0 != sK0) & (n2 != sK0 | pv5 != sK1) & (pv5 != sK1 | n1 != sK0) & leq(sK1,pv5) & leq(sK0,n2) & leq(n0,sK1) & leq(n0,sK0))), 1.29/0.65 introduced(definition,[],[choice_axiom])). 1.29/0.65 fof(f120,plain,( 1.29/0.65 ? [X0,X1] : (use != a_select3(u_defuse,X0,X1) & (pv5 != X1 | n0 != X0) & (n2 != X0 | pv5 != X1) & (pv5 != X1 | n1 != X0) & leq(X1,pv5) & leq(X0,n2) & leq(n0,X1) & leq(n0,X0)) & use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X2,X3] : (use = a_select3(u_defuse,X2,X3) | ~leq(n0,X2) | ~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X3)) & ! [X4,X5] : (use = a_select3(z_defuse,X4,X5) | ~leq(X4,n2) | ~leq(X5,pred(pv5)) | ~leq(n0,X5) | ~leq(n0,X4)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)), 1.29/0.65 inference(rectify,[],[f100])). 1.29/0.65 fof(f100,plain,( 1.29/0.65 ? [X4,X5] : (use != a_select3(u_defuse,X4,X5) & (pv5 != X5 | n0 != X4) & (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,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X0,X1] : (use = a_select3(u_defuse,X0,X1) | ~leq(n0,X0) | ~leq(X0,n2) | ~leq(X1,pred(pv5)) | ~leq(n0,X1)) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X3) | ~leq(n0,X2)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)), 1.29/0.65 inference(flattening,[],[f99])). 1.29/0.65 fof(f99,plain,( 1.29/0.65 ? [X4,X5] : ((use != a_select3(u_defuse,X4,X5) & ((pv5 != X5 | n0 != X4) & (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,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X0,X1] : (use = a_select3(u_defuse,X0,X1) | (~leq(n0,X0) | ~leq(X0,n2) | ~leq(X1,pred(pv5)) | ~leq(n0,X1))) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | (~leq(X2,n2) | ~leq(X3,pred(pv5)) | ~leq(n0,X3) | ~leq(n0,X2))) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0))), 1.29/0.65 inference(ennf_transformation,[],[f94])). 1.29/0.65 fof(f94,plain,( 1.29/0.65 ~((use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X0,X1] : ((leq(n0,X0) & leq(X0,n2) & leq(X1,pred(pv5)) & leq(n0,X1)) => use = a_select3(u_defuse,X0,X1)) & ! [X2,X3] : ((leq(X2,n2) & leq(X3,pred(pv5)) & leq(n0,X3) & leq(n0,X2)) => use = a_select3(z_defuse,X2,X3)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)) => ! [X4,X5] : ((leq(X5,pv5) & leq(X4,n2) & leq(n0,X5) & leq(n0,X4)) => ((~(pv5 = X5 & n0 = X4) & ~(n2 = X4 & pv5 = X5) & ~(pv5 = X5 & n1 = X4)) => use = a_select3(u_defuse,X4,X5))))), 1.29/0.65 inference(rectify,[],[f68])). 1.29/0.65 fof(f68,negated_conjecture,( 1.29/0.65 ~((use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X2,X7] : ((leq(n0,X2) & leq(X2,n2) & leq(X7,pred(pv5)) & leq(n0,X7)) => use = a_select3(u_defuse,X2,X7)) & ! [X6,X13] : ((leq(X6,n2) & leq(X13,pred(pv5)) & leq(n0,X13) & leq(n0,X6)) => use = a_select3(z_defuse,X6,X13)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)) => ! [X14,X15] : ((leq(X15,pv5) & leq(X14,n2) & leq(n0,X15) & leq(n0,X14)) => ((~(pv5 = X15 & n0 = X14) & ~(n2 = X14 & pv5 = X15) & ~(pv5 = X15 & n1 = X14)) => use = a_select3(u_defuse,X14,X15))))), 1.29/0.65 inference(negated_conjecture,[status(cth)],[f67])). 1.29/0.65 fof(f67,conjecture,( 1.29/0.65 (use = a_select2(rho_defuse,n2) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select2(sigma_defuse,n4) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n5) & leq(pv5,n998) & ! [X2,X7] : ((leq(n0,X2) & leq(X2,n2) & leq(X7,pred(pv5)) & leq(n0,X7)) => use = a_select3(u_defuse,X2,X7)) & ! [X6,X13] : ((leq(X6,n2) & leq(X13,pred(pv5)) & leq(n0,X13) & leq(n0,X6)) => use = a_select3(z_defuse,X6,X13)) & gt(pv5,n0) & leq(n0,pv5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n1) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n1) & use = a_select2(sigma_defuse,n0) & use = a_select2(rho_defuse,n1) & use = a_select2(rho_defuse,n0)) => ! [X14,X15] : ((leq(X15,pv5) & leq(X14,n2) & leq(n0,X15) & leq(n0,X14)) => ((~(pv5 = X15 & n0 = X14) & ~(n2 = X14 & pv5 = X15) & ~(pv5 = X15 & n1 = X14)) => use = a_select3(u_defuse,X14,X15)))), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f179,plain,( 1.29/0.65 use != a_select3(u_defuse,sK0,sK1)), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f174,plain,( 1.29/0.65 leq(sK0,n2)), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f172,plain,( 1.29/0.65 leq(n0,sK0)), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f173,plain,( 1.29/0.65 leq(n0,sK1)), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f910,plain,( 1.29/0.65 gt(pv5,sK1) | pv5 = sK1), 1.29/0.65 inference(resolution,[],[f216,f175])). 1.29/0.65 fof(f175,plain,( 1.29/0.65 leq(sK1,pv5)), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f917,plain,( 1.29/0.65 spl2_3 | spl2_17), 1.29/0.65 inference(avatar_split_clause,[],[f909,f914,f237])). 1.29/0.65 fof(f237,definition,( 1.29/0.65 spl2_3 <=> n2 = sK0), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_3])],[avatar_definition])). 1.29/0.65 fof(f909,plain,( 1.29/0.65 gt(n2,sK0) | n2 = sK0), 1.29/0.65 inference(resolution,[],[f216,f174])). 1.29/0.65 fof(f577,plain,( 1.29/0.65 spl2_4 | ~spl2_10), 1.29/0.65 inference(avatar_split_clause,[],[f559,f574,f242])). 1.29/0.65 fof(f242,definition,( 1.29/0.65 spl2_4 <=> n0 = sK0), 1.29/0.65 introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition])). 1.29/0.65 fof(f559,plain,( 1.29/0.65 ~leq(sK0,n0) | n0 = sK0), 1.29/0.65 inference(resolution,[],[f138,f172])). 1.29/0.65 fof(f138,plain,( 1.29/0.65 ( ! [X0] : (~leq(n0,X0) | ~leq(X0,n0) | n0 = X0) )), 1.29/0.65 inference(cnf_transformation,[],[f98])). 1.29/0.65 fof(f98,plain,( 1.29/0.65 ! [X0] : (n0 = X0 | ~leq(X0,n0) | ~leq(n0,X0))), 1.29/0.65 inference(flattening,[],[f97])). 1.29/0.65 fof(f97,plain,( 1.29/0.65 ! [X0] : (n0 = X0 | (~leq(X0,n0) | ~leq(n0,X0)))), 1.29/0.65 inference(ennf_transformation,[],[f65])). 1.29/0.65 fof(f65,axiom,( 1.29/0.65 ! [X0] : ((leq(X0,n0) & leq(n0,X0)) => n0 = X0)), 1.29/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.29/0.65 fof(f245,plain,( 1.29/0.65 ~spl2_4 | ~spl2_2), 1.29/0.65 inference(avatar_split_clause,[],[f178,f232,f242])). 1.29/0.65 fof(f178,plain,( 1.29/0.65 pv5 != sK1 | n0 != sK0), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f240,plain,( 1.29/0.65 ~spl2_2 | ~spl2_3), 1.29/0.65 inference(avatar_split_clause,[],[f177,f237,f232])). 1.29/0.65 fof(f177,plain,( 1.29/0.65 n2 != sK0 | pv5 != sK1), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 fof(f235,plain,( 1.29/0.65 ~spl2_1 | ~spl2_2), 1.29/0.65 inference(avatar_split_clause,[],[f176,f232,f228])). 1.29/0.65 fof(f176,plain,( 1.29/0.65 pv5 != sK1 | n1 != sK0), 1.29/0.65 inference(cnf_transformation,[],[f122])). 1.29/0.65 % SZS output end Proof for theBenchmark 1.29/0.65 % (874130)------------------------------ 1.29/0.65 % (874130)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.29/0.65 % (874130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.29/0.65 % (874130)Termination reason: Refutation 1.29/0.65 1.29/0.65 % (874130)Time elapsed: 0.044 s 1.29/0.65 % (874130)Peak memory usage: 13 MB 1.29/0.65 % (874130)Instructions burned: 49 (million) 1.29/0.65 % (874130)------------------------------ 1.29/0.65 % (874130)------------------------------ 1.29/0.65 % (874126)Success in time 0.184 s 1.29/0.65 EOF