0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.03/0.30 % Computer : n024.cluster.edu 0.03/0.30 % Model : x86_64 x86_64 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.03/0.30 % Memory : 8046.5625MB 0.03/0.30 % OS : Linux 6.8.0-71-generic 0.03/0.30 % CPULimit : 1440 0.03/0.30 % WCLimit : 180 0.03/0.30 % DateTime : Mon Jul 27 04:17:00 UTC 2026 0.03/0.30 % CPUTime : 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.07/0.33 Running first-order theorem proving 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 1.99/0.87 % (2838653)Detected formulas, will run a generic FOF schedule. 1.99/0.87 % (2838666)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3456834763:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 1.99/0.87 % (2838670)dis-21_1_sil=8000:lcm=predicate:random_seed=1708133177:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi) 1.99/0.87 % (2838667)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2537707333:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 1.99/0.87 % (2838665)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1143267468:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 1.99/0.87 % (2838668)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2976109589:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 1.99/0.87 % (2838664)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2758938819:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 1.99/0.87 % (2838669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1207600277:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 1.99/0.87 % (2838668)Refutation not found, incomplete strategy 1.99/0.87 % (2838668)------------------------------ 1.99/0.87 % (2838668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 1.99/0.87 % (2838668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.87 % (2838667)Refutation not found, incomplete strategy 1.99/0.87 % (2838667)------------------------------ 1.99/0.87 % (2838667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 1.99/0.87 % (2838668)CaDiCaL version: 2.1.3 1.99/0.87 % (2838668)Termination reason: Refutation not found, incomplete strategy 1.99/0.87 % (2838668)Time elapsed: 0.0000 s 1.99/0.87 % (2838667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.87 % (2838668)Peak memory usage: 86 MB 1.99/0.87 % (2838667)CaDiCaL version: 2.1.3 1.99/0.87 % (2838667)Termination reason: Refutation not found, incomplete strategy 1.99/0.87 % (2838667)Time elapsed: 0.0000 s 1.99/0.87 % (2838667)Peak memory usage: 87 MB 1.99/0.87 % (2838670)Refutation not found, incomplete strategy 1.99/0.87 % (2838670)------------------------------ 1.99/0.87 % (2838670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 1.99/0.87 % (2838670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.87 % (2838670)CaDiCaL version: 2.1.3 1.99/0.87 % (2838670)Termination reason: Refutation not found, incomplete strategy 1.99/0.87 % (2838670)Time elapsed: 0.001 s 1.99/0.87 % (2838670)Peak memory usage: 88 MB 1.99/0.87 % (2838670)Instructions burned: 1 (million) 1.99/0.87 % (2838669)First to succeed. 1.99/0.87 % (2838669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2838653" 1.99/0.87 % (2838670)------------------------------ 1.99/0.87 % (2838670)------------------------------ 1.99/0.87 % (2838667)------------------------------ 1.99/0.87 % (2838667)------------------------------ 1.99/0.87 % (2838668)------------------------------ 1.99/0.87 % (2838668)------------------------------ 1.99/0.87 % (2838669)Refutation found. Thanks to Tanya! 1.99/0.87 % SZS status Theorem for theBenchmark 1.99/0.87 % SZS output start Proof for theBenchmark 1.99/0.87 fof(f9,axiom,( 1.99/0.87 ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) <=> implies_1), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_1)). 1.99/0.87 fof(f13,axiom,( 1.99/0.87 r2 <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2)). 1.99/0.87 fof(f27,axiom,( 1.99/0.87 op_implies_or => ! [X0,X1] : or(not(X0),X1) = implies(X0,X1)), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or)). 1.99/0.87 fof(f35,axiom,( 1.99/0.87 op_implies_or), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or)). 1.99/0.87 fof(f36,axiom,( 1.99/0.87 r2), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2)). 1.99/0.87 fof(f42,conjecture,( 1.99/0.87 implies_1), 1.99/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1)). 1.99/0.87 fof(f43,negated_conjecture,( 1.99/0.87 ~implies_1), 1.99/0.87 inference(negated_conjecture,[status(cth)],[f42])). 1.99/0.87 fof(f47,plain,( 1.99/0.87 ~implies_1), 1.99/0.87 inference(flattening,[],[f43])). 1.99/0.87 fof(f50,plain,( 1.99/0.87 r2 => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))), 1.99/0.87 inference(unused_predicate_definition_removal,[],[f13])). 1.99/0.87 fof(f52,plain,( 1.99/0.87 ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) => implies_1), 1.99/0.87 inference(unused_predicate_definition_removal,[],[f9])). 1.99/0.87 fof(f60,plain,( 1.99/0.87 implies_1 | ? [X0,X1] : ~is_a_theorem(implies(X0,implies(X1,X0)))), 1.99/0.87 inference(ennf_transformation,[],[f52])). 1.99/0.87 fof(f62,plain,( 1.99/0.87 ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) | ~r2), 1.99/0.87 inference(ennf_transformation,[],[f50])). 1.99/0.87 fof(f65,plain,( 1.99/0.87 ! [X0,X1] : or(not(X0),X1) = implies(X0,X1) | ~op_implies_or), 1.99/0.87 inference(ennf_transformation,[],[f27])). 1.99/0.87 fof(f70,plain,( 1.99/0.87 implies_1 | ~is_a_theorem(implies(sK0,implies(sK1,sK0)))), 1.99/0.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f60])). 1.99/0.87 fof(f74,plain,( 1.99/0.87 implies_1 | ~is_a_theorem(implies(sK0,implies(sK1,sK0)))), 1.99/0.87 inference(cnf_transformation,[],[f70])). 1.99/0.87 fof(f76,plain,( 1.99/0.87 ( ! [X0,X1] : (is_a_theorem(implies(X1,or(X0,X1))) | ~r2) )), 1.99/0.87 inference(cnf_transformation,[],[f62])). 1.99/0.87 fof(f79,plain,( 1.99/0.87 ( ! [X0,X1] : (implies(X0,X1) = or(not(X0),X1) | ~op_implies_or) )), 1.99/0.87 inference(cnf_transformation,[],[f65])). 1.99/0.87 fof(f87,plain,( 1.99/0.87 op_implies_or), 1.99/0.87 inference(cnf_transformation,[],[f35])). 1.99/0.87 fof(f88,plain,( 1.99/0.87 r2), 1.99/0.87 inference(cnf_transformation,[],[f36])). 1.99/0.87 fof(f94,plain,( 1.99/0.87 ~implies_1), 1.99/0.87 inference(cnf_transformation,[],[f47])). 1.99/0.87 fof(f131,definition,( 1.99/0.87 spl2_9 <=> op_implies_or), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition])). 1.99/0.87 fof(f135,definition,( 1.99/0.87 spl2_10 <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition])). 1.99/0.87 fof(f136,plain,( 1.99/0.87 ( ! [X0,X1] : (implies(X0,X1) = or(not(X0),X1)) ) | ~spl2_10), 1.99/0.87 inference(avatar_component_clause,[],[f135])). 1.99/0.87 fof(f137,plain,( 1.99/0.87 ~spl2_9 | spl2_10), 1.99/0.87 inference(avatar_split_clause,[],[f79,f135,f131])). 1.99/0.87 fof(f155,definition,( 1.99/0.87 spl2_15 <=> r2), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition])). 1.99/0.87 fof(f159,definition,( 1.99/0.87 spl2_16 <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition])). 1.99/0.87 fof(f160,plain,( 1.99/0.87 ( ! [X0,X1] : (is_a_theorem(implies(X1,or(X0,X1)))) ) | ~spl2_16), 1.99/0.87 inference(avatar_component_clause,[],[f159])). 1.99/0.87 fof(f161,plain,( 1.99/0.87 ~spl2_15 | spl2_16), 1.99/0.87 inference(avatar_split_clause,[],[f76,f159,f155])). 1.99/0.87 fof(f171,definition,( 1.99/0.87 spl2_19 <=> is_a_theorem(implies(sK0,implies(sK1,sK0)))), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition])). 1.99/0.87 fof(f173,plain,( 1.99/0.87 ~is_a_theorem(implies(sK0,implies(sK1,sK0))) | spl2_19), 1.99/0.87 inference(avatar_component_clause,[],[f171])). 1.99/0.87 fof(f175,definition,( 1.99/0.87 spl2_20 <=> implies_1), 1.99/0.87 introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition])). 1.99/0.87 fof(f178,plain,( 1.99/0.87 ~spl2_19 | spl2_20), 1.99/0.87 inference(avatar_split_clause,[],[f74,f175,f171])). 1.99/0.87 fof(f203,plain,( 1.99/0.87 ~spl2_20), 1.99/0.87 inference(avatar_split_clause,[],[f94,f175])). 1.99/0.87 fof(f212,plain,( 1.99/0.87 spl2_9), 1.99/0.87 inference(avatar_split_clause,[],[f87,f131])). 1.99/0.87 fof(f215,plain,( 1.99/0.87 spl2_15), 1.99/0.87 inference(avatar_split_clause,[],[f88,f155])). 1.99/0.87 fof(f237,plain,( 1.99/0.87 ( ! [X0,X1] : (is_a_theorem(implies(X1,implies(X0,X1)))) ) | (~spl2_10 | ~spl2_16)), 1.99/0.87 inference(superposition,[],[f160,f136])). 1.99/0.87 fof(f248,plain,( 1.99/0.87 $false | (~spl2_10 | ~spl2_16 | spl2_19)), 1.99/0.87 inference(resolution,[],[f237,f173])). 1.99/0.87 fof(f249,plain,( 1.99/0.87 ~spl2_10 | ~spl2_16 | spl2_19), 1.99/0.87 inference(avatar_contradiction_clause,[],[f248])). 1.99/0.87 cnf(s5, plain, ~spl2_9 | spl2_10, inference(sat_conversion,[],[f137])). 1.99/0.87 cnf(s8, plain, ~spl2_15 | spl2_16, inference(sat_conversion,[],[f161])). 1.99/0.87 cnf(s10, plain, ~spl2_19 | spl2_20, inference(sat_conversion,[],[f178])). 1.99/0.87 cnf(s14, plain, ~spl2_20, inference(sat_conversion,[],[f203])). 1.99/0.87 cnf(s20, plain, spl2_9, inference(sat_conversion,[],[f212])). 1.99/0.87 cnf(s22, plain, spl2_15, inference(sat_conversion,[],[f215])). 1.99/0.87 cnf(s39, plain, ~spl2_10 | ~spl2_16 | spl2_19, inference(sat_conversion,[],[f249])). 1.99/0.87 cnf(s43, plain, ~spl2_19, inference(rat,[],[s10,s14])). 1.99/0.87 cnf(s45, plain, spl2_16, inference(rat,[],[s8,s22])). 1.99/0.87 cnf(s46, plain, ~spl2_10, inference(rat,[],[s39,s43,s45])). 1.99/0.87 cnf(s49, plain, $false, inference(rat,[],[s5,s46,s20])). 1.99/0.87 fof(f250,plain,( 1.99/0.87 $false), 1.99/0.87 inference(avatar_sat_refutation,[],[s49])). 1.99/0.87 % SZS output end Proof for theBenchmark 1.99/0.87 % (2838669)------------------------------ 1.99/0.87 % (2838669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 1.99/0.87 % (2838669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.87 % (2838669)CaDiCaL version: 2.1.3 1.99/0.87 % (2838669)Termination reason: Refutation 1.99/0.87 % (2838669)Time elapsed: 0.002 s 1.99/0.87 % (2838669)Peak memory usage: 89 MB 1.99/0.87 % (2838669)Instructions burned: 4 (million) 1.99/0.87 % (2838669)------------------------------ 1.99/0.87 % (2838669)------------------------------ 1.99/0.87 % (2838653)Success in time 0.258 s 1.99/0.87 % Vampire exiting 1.99/0.88 EOF