0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.13/0.33 % Computer : n020.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:21:20 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.40 % (7003)dis+1003_1:1_aac=none:amm=off:ep=R:erd=off:newcnf=on:sac=on:skr=on:sos=all:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/31Mi) 0.19/0.40 % (7005)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/42Mi) 0.19/0.40 % (7002)lrs+1011_1:1_sd=3:sgt=10:ss=included:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/49Mi) 0.19/0.40 % (7004)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=18:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/18Mi) 0.19/0.40 % (7006)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/51Mi) 0.19/0.41 % (7006)First to succeed. 0.19/0.41 % (7006)Refutation found. Thanks to Tanya! 0.19/0.41 % SZS status Theorem for theBenchmark 0.19/0.41 % SZS output start Proof for theBenchmark 0.19/0.41 fof(f234,plain,( 0.19/0.41 $false), 0.19/0.41 inference(subsumption_resolution,[],[f233,f190])). 0.19/0.41 fof(f190,plain,( 0.19/0.41 contains_pq(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(resolution,[],[f169,f155])). 0.19/0.41 fof(f155,plain,( 0.19/0.41 ( ! [X0,X1] : (~pi_sharp_find_min(X0,X1) | contains_pq(X0,X1)) )), 0.19/0.41 inference(cnf_transformation,[],[f124])). 0.19/0.41 fof(f124,plain,( 0.19/0.41 ! [X0,X1] : ((pi_sharp_find_min(X0,X1) | ~issmallestelement_pq(X0,X1) | ~contains_pq(X0,X1)) & ((issmallestelement_pq(X0,X1) & contains_pq(X0,X1)) | ~pi_sharp_find_min(X0,X1)))), 0.19/0.41 inference(flattening,[],[f123])). 0.19/0.41 fof(f123,plain,( 0.19/0.41 ! [X0,X1] : ((pi_sharp_find_min(X0,X1) | (~issmallestelement_pq(X0,X1) | ~contains_pq(X0,X1))) & ((issmallestelement_pq(X0,X1) & contains_pq(X0,X1)) | ~pi_sharp_find_min(X0,X1)))), 0.19/0.41 inference(nnf_transformation,[],[f58])). 0.19/0.41 fof(f58,axiom,( 0.19/0.41 ! [X0,X1] : (pi_sharp_find_min(X0,X1) <=> (issmallestelement_pq(X0,X1) & contains_pq(X0,X1)))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58)). 0.19/0.41 fof(f169,plain,( 0.19/0.41 pi_sharp_find_min(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(resolution,[],[f144,f138])). 0.19/0.41 fof(f138,plain,( 0.19/0.41 phi(findmin_cpq_eff(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(cnf_transformation,[],[f110])). 0.19/0.41 fof(f110,plain,( 0.19/0.41 ! [X3] : (~pi_sharp_find_min(i(triple(sK3,sK2,sK1)),X3) | findmin_cpq_res(triple(sK3,sK2,sK1)) != findmin_pq_res(i(triple(sK3,sK2,sK1)),X3)) & pi_find_min(triple(sK3,sK2,sK1)) & phi(findmin_cpq_eff(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f108,f109])). 0.19/0.41 fof(f109,plain,( 0.19/0.41 ? [X0,X1,X2] : (! [X3] : (~pi_sharp_find_min(i(triple(X2,X1,X0)),X3) | findmin_pq_res(i(triple(X2,X1,X0)),X3) != findmin_cpq_res(triple(X2,X1,X0))) & pi_find_min(triple(X2,X1,X0)) & phi(findmin_cpq_eff(triple(X2,X1,X0)))) => (! [X3] : (~pi_sharp_find_min(i(triple(sK3,sK2,sK1)),X3) | findmin_cpq_res(triple(sK3,sK2,sK1)) != findmin_pq_res(i(triple(sK3,sK2,sK1)),X3)) & pi_find_min(triple(sK3,sK2,sK1)) & phi(findmin_cpq_eff(triple(sK3,sK2,sK1))))), 0.19/0.41 introduced(choice_axiom,[])). 0.19/0.41 fof(f108,plain,( 0.19/0.41 ? [X0,X1,X2] : (! [X3] : (~pi_sharp_find_min(i(triple(X2,X1,X0)),X3) | findmin_pq_res(i(triple(X2,X1,X0)),X3) != findmin_cpq_res(triple(X2,X1,X0))) & pi_find_min(triple(X2,X1,X0)) & phi(findmin_cpq_eff(triple(X2,X1,X0))))), 0.19/0.41 inference(rectify,[],[f99])). 0.19/0.41 fof(f99,plain,( 0.19/0.41 ? [X1,X0,X2] : (! [X3] : (~pi_sharp_find_min(i(triple(X2,X0,X1)),X3) | findmin_pq_res(i(triple(X2,X0,X1)),X3) != findmin_cpq_res(triple(X2,X0,X1))) & pi_find_min(triple(X2,X0,X1)) & phi(findmin_cpq_eff(triple(X2,X0,X1))))), 0.19/0.41 inference(flattening,[],[f98])). 0.19/0.41 fof(f98,plain,( 0.19/0.41 ? [X2,X0,X1] : ((! [X3] : (~pi_sharp_find_min(i(triple(X2,X0,X1)),X3) | findmin_pq_res(i(triple(X2,X0,X1)),X3) != findmin_cpq_res(triple(X2,X0,X1))) & phi(findmin_cpq_eff(triple(X2,X0,X1)))) & pi_find_min(triple(X2,X0,X1)))), 0.19/0.41 inference(ennf_transformation,[],[f67])). 0.19/0.41 fof(f67,plain,( 0.19/0.41 ~! [X2,X0,X1] : (pi_find_min(triple(X2,X0,X1)) => (phi(findmin_cpq_eff(triple(X2,X0,X1))) => ? [X3] : (pi_sharp_find_min(i(triple(X2,X0,X1)),X3) & findmin_pq_res(i(triple(X2,X0,X1)),X3) = findmin_cpq_res(triple(X2,X0,X1)))))), 0.19/0.41 inference(rectify,[],[f64])). 0.19/0.41 fof(f64,negated_conjecture,( 0.19/0.41 ~! [X1,X2,X0] : (pi_find_min(triple(X0,X1,X2)) => (phi(findmin_cpq_eff(triple(X0,X1,X2))) => ? [X3] : (pi_sharp_find_min(i(triple(X0,X1,X2)),X3) & findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),X3))))), 0.19/0.41 inference(negated_conjecture,[],[f63])). 0.19/0.41 fof(f63,conjecture,( 0.19/0.41 ! [X1,X2,X0] : (pi_find_min(triple(X0,X1,X2)) => (phi(findmin_cpq_eff(triple(X0,X1,X2))) => ? [X3] : (pi_sharp_find_min(i(triple(X0,X1,X2)),X3) & findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),X3))))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co4)). 0.19/0.41 fof(f144,plain,( 0.19/0.41 ( ! [X2,X0,X1] : (~phi(findmin_cpq_eff(triple(X0,X1,X2))) | pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))) )), 0.19/0.41 inference(cnf_transformation,[],[f114])). 0.19/0.41 fof(f114,plain,( 0.19/0.41 ! [X0,X1,X2] : (~phi(findmin_cpq_eff(triple(X0,X1,X2))) | pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))))), 0.19/0.41 inference(rectify,[],[f85])). 0.19/0.41 fof(f85,plain,( 0.19/0.41 ! [X1,X0,X2] : (~phi(findmin_cpq_eff(triple(X1,X0,X2))) | pi_sharp_find_min(i(triple(X1,X0,X2)),findmin_cpq_res(triple(X1,X0,X2))))), 0.19/0.41 inference(ennf_transformation,[],[f66])). 0.19/0.41 fof(f66,plain,( 0.19/0.41 ! [X2,X1,X0] : (phi(findmin_cpq_eff(triple(X1,X0,X2))) => pi_sharp_find_min(i(triple(X1,X0,X2)),findmin_cpq_res(triple(X1,X0,X2))))), 0.19/0.41 inference(rectify,[],[f65])). 0.19/0.41 fof(f65,axiom,( 0.19/0.41 ! [X1,X0,X2] : (phi(findmin_cpq_eff(triple(X0,X1,X2))) => pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main4_l7)). 0.19/0.41 fof(f233,plain,( 0.19/0.41 ~contains_pq(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(subsumption_resolution,[],[f232,f187])). 0.19/0.41 fof(f187,plain,( 0.19/0.41 findmin_cpq_res(triple(sK3,sK2,sK1)) != findmin_pq_res(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(unit_resulting_resolution,[],[f169,f140])). 0.19/0.41 fof(f140,plain,( 0.19/0.41 ( ! [X3] : (findmin_cpq_res(triple(sK3,sK2,sK1)) != findmin_pq_res(i(triple(sK3,sK2,sK1)),X3) | ~pi_sharp_find_min(i(triple(sK3,sK2,sK1)),X3)) )), 0.19/0.41 inference(cnf_transformation,[],[f110])). 0.19/0.41 fof(f232,plain,( 0.19/0.41 findmin_cpq_res(triple(sK3,sK2,sK1)) = findmin_pq_res(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1))) | ~contains_pq(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(resolution,[],[f189,f137])). 0.19/0.41 fof(f137,plain,( 0.19/0.41 ( ! [X0,X1] : (~contains_pq(X0,X1) | findmin_pq_res(X0,X1) = X1 | ~issmallestelement_pq(X0,X1)) )), 0.19/0.41 inference(cnf_transformation,[],[f87])). 0.19/0.41 fof(f87,plain,( 0.19/0.41 ! [X0,X1] : (findmin_pq_res(X0,X1) = X1 | ~issmallestelement_pq(X0,X1) | ~contains_pq(X0,X1))), 0.19/0.41 inference(flattening,[],[f86])). 0.19/0.41 fof(f86,plain,( 0.19/0.41 ! [X1,X0] : (findmin_pq_res(X0,X1) = X1 | (~issmallestelement_pq(X0,X1) | ~contains_pq(X0,X1)))), 0.19/0.41 inference(ennf_transformation,[],[f6])). 0.19/0.41 fof(f6,axiom,( 0.19/0.41 ! [X1,X0] : ((issmallestelement_pq(X0,X1) & contains_pq(X0,X1)) => findmin_pq_res(X0,X1) = X1)), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14)). 0.19/0.41 fof(f189,plain,( 0.19/0.41 issmallestelement_pq(i(triple(sK3,sK2,sK1)),findmin_cpq_res(triple(sK3,sK2,sK1)))), 0.19/0.41 inference(unit_resulting_resolution,[],[f169,f156])). 0.19/0.41 fof(f156,plain,( 0.19/0.41 ( ! [X0,X1] : (issmallestelement_pq(X0,X1) | ~pi_sharp_find_min(X0,X1)) )), 0.19/0.41 inference(cnf_transformation,[],[f124])). 0.19/0.41 % SZS output end Proof for theBenchmark 0.19/0.41 % (7006)------------------------------ 0.19/0.41 % (7006)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.41 % (7006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.41 % (7006)Termination reason: Refutation 0.19/0.41 0.19/0.41 % (7006)Memory used [KB]: 6140 0.19/0.41 % (7006)Time elapsed: 0.010 s 0.19/0.41 % (7006)Instructions burned: 5 (million) 0.19/0.41 % (7006)------------------------------ 0.19/0.41 % (7006)------------------------------ 0.19/0.41 % (7000)Success in time 0.071 s 0.19/0.41 EOF