0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --mode casc -t %d %s 0.12/0.34 % Computer : n014.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % DateTime : Thu Jul 2 08:24:40 EDT 2020 0.12/0.34 % CPUTime : 0.20/0.43 % lrs+11_24_add=large:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=fast:fde=unused:gs=on:irw=on:lma=on:nm=4:nwc=1.3:nicw=on:sas=z3:stl=30:sac=on:sp=reverse_arity:uhcvi=on_136 on theBenchmark 18.26/18.23 % Time limit reached! 18.26/18.23 % ------------------------------ 18.26/18.23 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 18.26/18.23 % Termination reason: Time limit 18.26/18.23 % Termination phase: Saturation 18.26/18.23 18.26/18.23 % Memory used [KB]: 360250 18.26/18.23 % Time elapsed: 17.800 s 18.26/18.23 % ------------------------------ 18.26/18.23 % ------------------------------ 18.36/18.31 % lrs+11_5_av=off:cond=on:fsr=off:lma=on:lwlo=on:nwc=1.2:sas=z3:stl=30:sp=reverse_arity:updr=off_123 on theBenchmark 34.68/34.41 % Time limit reached! 34.68/34.41 % ------------------------------ 34.68/34.41 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 34.68/34.41 % Termination reason: Time limit 34.68/34.41 % Termination phase: Saturation 34.68/34.41 34.68/34.41 % Memory used [KB]: 131127 34.68/34.41 % Time elapsed: 16.100 s 34.68/34.41 % ------------------------------ 34.68/34.41 % ------------------------------ 34.68/34.44 % dis+11_50_add=large:afp=1000:afq=1.0:amm=sco:anc=none:fsr=off:nm=16:nwc=1.5:sac=on_13 on theBenchmark 36.50/36.24 % Time limit reached! 36.50/36.24 % ------------------------------ 36.50/36.24 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 36.50/36.24 % Termination reason: Time limit 36.50/36.24 % Termination phase: Saturation 36.50/36.24 36.50/36.24 % Memory used [KB]: 63836 36.50/36.24 % Time elapsed: 1.800 s 36.50/36.24 % ------------------------------ 36.50/36.24 % ------------------------------ 36.57/36.27 % lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_75 on theBenchmark 37.24/36.96 % Refutation found. Thanks to Tanya! 37.24/36.96 % SZS status Theorem for theBenchmark 37.24/36.96 % SZS output start Proof for theBenchmark 37.24/36.96 fof(f21441,plain,( 37.24/36.96 $false), 37.24/36.96 inference(subsumption_resolution,[],[f21440,f441])). 37.24/36.96 fof(f441,plain,( 37.24/36.96 hBOOL(hoare_1883395792gleton)), 37.24/36.96 inference(cnf_transformation,[],[f121])). 37.24/36.96 fof(f121,axiom,( 37.24/36.96 hBOOL(hoare_1883395792gleton)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 37.24/36.96 fof(f21440,plain,( 37.24/36.96 ~hBOOL(hoare_1883395792gleton)), 37.24/36.96 inference(forward_demodulation,[],[f21439,f17098])). 37.24/36.96 fof(f17098,plain,( 37.24/36.96 hAPP(com,bool,wt,y) = hoare_1883395792gleton), 37.24/36.96 inference(subsumption_resolution,[],[f17094,f459])). 37.24/36.96 fof(f459,plain,( 37.24/36.96 ~hBOOL(fFalse)), 37.24/36.96 inference(cnf_transformation,[],[f170])). 37.24/36.96 fof(f170,axiom,( 37.24/36.96 ~hBOOL(fFalse)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U)). 37.24/36.96 fof(f17094,plain,( 37.24/36.96 hBOOL(fFalse) | hAPP(com,bool,wt,y) = hoare_1883395792gleton), 37.24/36.96 inference(superposition,[],[f17092,f13089])). 37.24/36.96 fof(f13089,plain,( 37.24/36.96 ( ! [X109,X107,X108] : (hAPP(X107,bool,X108,X109) = fFalse | hAPP(X107,bool,X108,X109) = hoare_1883395792gleton) )), 37.24/36.96 inference(superposition,[],[f1245,f580])). 37.24/36.96 fof(f580,plain,( 37.24/36.96 ( ! [X2,X0,X3,X1] : (ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3)) )), 37.24/36.96 inference(cnf_transformation,[],[f248])). 37.24/36.96 fof(f248,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3)), 37.24/36.96 inference(rectify,[],[f159])). 37.24/36.96 fof(f159,axiom,( 37.24/36.96 ! [X2,X0,X38,X39] : ti(X2,hAPP(X0,X2,X38,X39)) = hAPP(X0,X2,X38,X39)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_res)). 37.24/36.96 fof(f1245,plain,( 37.24/36.96 ( ! [X14,X15,X13] : (ti(bool,hAPP(X13,bool,X14,X15)) = fFalse | hAPP(X13,bool,X14,X15) = hoare_1883395792gleton) )), 37.24/36.96 inference(backward_demodulation,[],[f1223,f895])). 37.24/36.96 fof(f895,plain,( 37.24/36.96 ( ! [X14,X15,X13] : (hAPP(X13,bool,X14,X15) = fTrue | ti(bool,hAPP(X13,bool,X14,X15)) = fFalse) )), 37.24/36.96 inference(superposition,[],[f580,f484])). 37.24/36.96 fof(f484,plain,( 37.24/36.96 ( ! [X0] : (ti(bool,X0) = fTrue | ti(bool,X0) = fFalse) )), 37.24/36.96 inference(cnf_transformation,[],[f175])). 37.24/36.96 fof(f175,plain,( 37.24/36.96 ! [X0] : (ti(bool,X0) = fFalse | ti(bool,X0) = fTrue)), 37.24/36.96 inference(rectify,[],[f83])). 37.24/36.96 fof(f83,axiom,( 37.24/36.96 ! [X15] : (ti(bool,X15) = fFalse | ti(bool,X15) = fTrue)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T)). 37.24/36.96 fof(f1223,plain,( 37.24/36.96 hoare_1883395792gleton = fTrue), 37.24/36.96 inference(subsumption_resolution,[],[f1222,f441])). 37.24/36.96 fof(f1222,plain,( 37.24/36.96 ~hBOOL(hoare_1883395792gleton) | hoare_1883395792gleton = fTrue), 37.24/36.96 inference(forward_demodulation,[],[f1195,f445])). 37.24/36.96 fof(f445,plain,( 37.24/36.96 ti(bool,hoare_1883395792gleton) = hoare_1883395792gleton), 37.24/36.96 inference(cnf_transformation,[],[f18])). 37.24/36.96 fof(f18,axiom,( 37.24/36.96 ti(bool,hoare_1883395792gleton) = hoare_1883395792gleton), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Hoare__Mirabelle__pjuwniqynr_Ostate__not__singleton_res)). 37.24/36.96 fof(f1195,plain,( 37.24/36.96 hoare_1883395792gleton = fTrue | ~hBOOL(ti(bool,hoare_1883395792gleton))), 37.24/36.96 inference(superposition,[],[f1163,f445])). 37.24/36.96 fof(f1163,plain,( 37.24/36.96 ( ! [X0] : (ti(bool,X0) = fTrue | ~hBOOL(ti(bool,X0))) )), 37.24/36.96 inference(subsumption_resolution,[],[f1157,f459])). 37.24/36.96 fof(f1157,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(fFalse) | ~hBOOL(ti(bool,X0)) | ti(bool,X0) = fTrue) )), 37.24/36.96 inference(superposition,[],[f457,f789])). 37.24/36.96 fof(f789,plain,( 37.24/36.96 ( ! [X1] : (ti(bool,ti(bool,X1)) = fFalse | ti(bool,X1) = fTrue) )), 37.24/36.96 inference(superposition,[],[f484,f490])). 37.24/36.96 fof(f490,plain,( 37.24/36.96 ( ! [X0,X1] : (ti(X0,X1) = ti(X0,ti(X0,X1))) )), 37.24/36.96 inference(cnf_transformation,[],[f181])). 37.24/36.96 fof(f181,plain,( 37.24/36.96 ! [X0,X1] : ti(X0,X1) = ti(X0,ti(X0,X1))), 37.24/36.96 inference(rectify,[],[f52])). 37.24/36.96 fof(f52,axiom,( 37.24/36.96 ! [X29,X30] : ti(X29,X30) = ti(X29,ti(X29,X30))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_ti_idem)). 37.24/36.96 fof(f457,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(ti(bool,X0)) | ~hBOOL(X0)) )), 37.24/36.96 inference(cnf_transformation,[],[f380])). 37.24/36.96 fof(f380,plain,( 37.24/36.96 ! [X0] : ((hBOOL(X0) | ~hBOOL(ti(bool,X0))) & (hBOOL(ti(bool,X0)) | ~hBOOL(X0)))), 37.24/36.96 inference(nnf_transformation,[],[f172])). 37.24/36.96 fof(f172,plain,( 37.24/36.96 ! [X0] : (hBOOL(X0) <=> hBOOL(ti(bool,X0)))), 37.24/36.96 inference(rectify,[],[f107])). 37.24/36.96 fof(f107,axiom,( 37.24/36.96 ! [X38] : (hBOOL(X38) <=> hBOOL(ti(bool,X38)))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hBOOL_arg1)). 37.24/36.96 fof(f17092,plain,( 37.24/36.96 hBOOL(hAPP(com,bool,wt,y))), 37.24/36.96 inference(equality_resolution,[],[f1359])). 37.24/36.96 fof(f1359,plain,( 37.24/36.96 ( ! [X0] : (hAPP(pname,option(com),body,pn) != hAPP(pname,option(com),body,X0) | hBOOL(hAPP(com,bool,wt,y))) )), 37.24/36.96 inference(superposition,[],[f664,f453])). 37.24/36.96 fof(f453,plain,( 37.24/36.96 hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y)), 37.24/36.96 inference(cnf_transformation,[],[f47])). 37.24/36.96 fof(f47,axiom,( 37.24/36.96 hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5)). 37.24/36.96 fof(f664,plain,( 37.24/36.96 ( ! [X0,X1] : (hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) | hBOOL(hAPP(com,bool,wt,X1))) )), 37.24/36.96 inference(subsumption_resolution,[],[f513,f442])). 37.24/36.96 fof(f442,plain,( 37.24/36.96 hBOOL(wT_bodies)), 37.24/36.96 inference(cnf_transformation,[],[f165])). 37.24/36.96 fof(f165,axiom,( 37.24/36.96 hBOOL(wT_bodies)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 37.24/36.96 fof(f513,plain,( 37.24/36.96 ( ! [X0,X1] : (hBOOL(hAPP(com,bool,wt,X1)) | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) | ~hBOOL(wT_bodies)) )), 37.24/36.96 inference(cnf_transformation,[],[f304])). 37.24/36.96 fof(f304,plain,( 37.24/36.96 ! [X0,X1] : (hBOOL(hAPP(com,bool,wt,X1)) | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) | ~hBOOL(wT_bodies))), 37.24/36.96 inference(flattening,[],[f303])). 37.24/36.96 fof(f303,plain,( 37.24/36.96 ! [X0,X1] : ((hBOOL(hAPP(com,bool,wt,X1)) | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)) | ~hBOOL(wT_bodies))), 37.24/36.96 inference(ennf_transformation,[],[f202])). 37.24/36.96 fof(f202,plain,( 37.24/36.96 ! [X0,X1] : (hBOOL(wT_bodies) => (hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1) => hBOOL(hAPP(com,bool,wt,X1))))), 37.24/36.96 inference(rectify,[],[f158])). 37.24/36.96 fof(f158,axiom,( 37.24/36.96 ! [X48,X49] : (hBOOL(wT_bodies) => (hAPP(pname,option(com),body,X48) = hAPP(com,option(com),some(com),X49) => hBOOL(hAPP(com,bool,wt,X49))))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_WT__bodiesD)). 37.24/36.96 fof(f21439,plain,( 37.24/36.96 ~hBOOL(hAPP(com,bool,wt,y))), 37.24/36.96 inference(subsumption_resolution,[],[f21438,f459])). 37.24/36.96 fof(f21438,plain,( 37.24/36.96 hBOOL(fFalse) | ~hBOOL(hAPP(com,bool,wt,y))), 37.24/36.96 inference(forward_demodulation,[],[f21423,f16703])). 37.24/36.96 fof(f16703,plain,( 37.24/36.96 ( ! [X4,X5] : (hAPP(X4,bool,bot_bot(fun(X4,bool)),X5) = fFalse) )), 37.24/36.96 inference(forward_demodulation,[],[f16702,f461])). 37.24/36.96 fof(f461,plain,( 37.24/36.96 ti(bool,fFalse) = fFalse), 37.24/36.96 inference(cnf_transformation,[],[f127])). 37.24/36.96 fof(f127,axiom,( 37.24/36.96 ti(bool,fFalse) = fFalse), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_fFalse_res)). 37.24/36.96 fof(f16702,plain,( 37.24/36.96 ( ! [X4,X5] : (ti(bool,fFalse) = hAPP(X4,bool,bot_bot(fun(X4,bool)),X5)) )), 37.24/36.96 inference(forward_demodulation,[],[f16675,f582])). 37.24/36.96 fof(f582,plain,( 37.24/36.96 ( ! [X2,X0,X3,X1] : (ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3)) )), 37.24/36.96 inference(cnf_transformation,[],[f250])). 37.24/36.96 fof(f250,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3)), 37.24/36.96 inference(rectify,[],[f78])). 37.24/36.96 fof(f78,axiom,( 37.24/36.96 ! [X1,X0,X15,X16] : ti(X0,X15) = hAPP(X1,X0,hAPP(X0,fun(X1,X0),combk(X0,X1),X15),X16)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_U)). 37.24/36.96 fof(f16675,plain,( 37.24/36.96 ( ! [X4,X5] : (hAPP(X4,bool,bot_bot(fun(X4,bool)),X5) = hAPP(X4,bool,hAPP(bool,fun(X4,bool),combk(bool,X4),fFalse),X5)) )), 37.24/36.96 inference(superposition,[],[f581,f1474])). 37.24/36.96 fof(f1474,plain,( 37.24/36.96 ( ! [X1] : (ti(fun(X1,bool),hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse)) = bot_bot(fun(X1,bool))) )), 37.24/36.96 inference(superposition,[],[f481,f493])). 37.24/36.96 fof(f493,plain,( 37.24/36.96 ( ! [X0,X1] : (ti(fun(X0,bool),X1) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)) )), 37.24/36.96 inference(cnf_transformation,[],[f183])). 37.24/36.96 fof(f183,plain,( 37.24/36.96 ! [X0,X1] : ti(fun(X0,bool),X1) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)), 37.24/36.96 inference(rectify,[],[f4])). 37.24/36.96 fof(f4,axiom,( 37.24/36.96 ! [X0,X6] : ti(fun(X0,bool),X6) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X6)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_Collect__def)). 37.24/36.96 fof(f481,plain,( 37.24/36.96 ( ! [X0] : (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(bool,fun(X0,bool),combk(bool,X0),fFalse)) = bot_bot(fun(X0,bool))) )), 37.24/36.96 inference(cnf_transformation,[],[f74])). 37.24/36.96 fof(f74,axiom,( 37.24/36.96 ! [X0] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(bool,fun(X0,bool),combk(bool,X0),fFalse)) = bot_bot(fun(X0,bool))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_empty__def)). 37.24/36.96 fof(f581,plain,( 37.24/36.96 ( ! [X2,X0,X3,X1] : (hAPP(X0,X1,X2,X3) = hAPP(X0,X1,ti(fun(X0,X1),X2),X3)) )), 37.24/36.96 inference(cnf_transformation,[],[f249])). 37.24/36.96 fof(f249,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,ti(fun(X0,X1),X2),X3)), 37.24/36.96 inference(rectify,[],[f101])). 37.24/36.96 fof(f101,axiom,( 37.24/36.96 ! [X0,X2,X38,X39] : hAPP(X0,X2,X38,X39) = hAPP(X0,X2,ti(fun(X0,X2),X38),X39)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg1)). 37.24/36.96 fof(f21423,plain,( 37.24/36.96 hBOOL(hAPP(hoare_509422987triple(state),bool,bot_bot(fun(hoare_509422987triple(state),bool)),sK3(hoare_509422987triple(state),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,y))), 37.24/36.96 inference(resolution,[],[f21417,f714])). 37.24/36.96 fof(f714,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)))) | ~hBOOL(hAPP(com,bool,wt,X0))) )), 37.24/36.96 inference(backward_demodulation,[],[f579,f662])). 37.24/36.96 fof(f662,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),ti(fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0))))) | ~hBOOL(hAPP(com,bool,wt,X0))) )), 37.24/36.96 inference(backward_demodulation,[],[f660,f659])). 37.24/36.96 fof(f659,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,X0))) )), 37.24/36.96 inference(subsumption_resolution,[],[f658,f441])). 37.24/36.96 fof(f658,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,X0)) | ~hBOOL(hoare_1883395792gleton)) )), 37.24/36.96 inference(subsumption_resolution,[],[f485,f442])). 37.24/36.96 fof(f485,plain,( 37.24/36.96 ( ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,X0)) | ~hBOOL(wT_bodies) | ~hBOOL(hoare_1883395792gleton)) )), 37.24/36.96 inference(cnf_transformation,[],[f298])). 37.24/36.96 fof(f298,plain,( 37.24/36.96 ! [X0] : (hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,X0)) | ~hBOOL(wT_bodies) | ~hBOOL(hoare_1883395792gleton))), 37.24/36.96 inference(flattening,[],[f297])). 37.24/36.96 fof(f297,plain,( 37.24/36.96 ! [X0] : (((hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) | ~hBOOL(hAPP(com,bool,wt,X0))) | ~hBOOL(wT_bodies)) | ~hBOOL(hoare_1883395792gleton))), 37.24/36.96 inference(ennf_transformation,[],[f176])). 37.24/36.96 fof(f176,plain,( 37.24/36.96 ! [X0] : (hBOOL(hoare_1883395792gleton) => (hBOOL(wT_bodies) => (hBOOL(hAPP(com,bool,wt,X0)) => hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))))))), 37.24/36.96 inference(rectify,[],[f51])). 37.24/36.96 fof(f51,axiom,( 37.24/36.96 ! [X8] : (hBOOL(hoare_1883395792gleton) => (hBOOL(wT_bodies) => (hBOOL(hAPP(com,bool,wt,X8)) => hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X8)),bot_bot(fun(hoare_509422987triple(state),bool))))))))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_MGF)). 37.24/36.96 fof(f660,plain,( 37.24/36.96 ( ! [X0,X1] : (ti(fun(X0,bool),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))) )), 37.24/36.96 inference(forward_demodulation,[],[f502,f493])). 37.24/36.96 fof(f502,plain,( 37.24/36.96 ( ! [X0,X1] : (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))) )), 37.24/36.96 inference(cnf_transformation,[],[f191])). 37.24/36.96 fof(f191,plain,( 37.24/36.96 ! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))), 37.24/36.96 inference(rectify,[],[f3])). 37.24/36.96 fof(f3,axiom,( 37.24/36.96 ! [X0,X5] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X5)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X5),bot_bot(fun(X0,bool)))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singleton__conv2)). 37.24/36.96 fof(f579,plain,( 37.24/36.96 ( ! [X2,X0,X3,X1] : (hAPP(X0,X1,X2,X3) = hAPP(X0,X1,X2,ti(X0,X3))) )), 37.24/36.96 inference(cnf_transformation,[],[f247])). 37.24/36.96 fof(f247,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,X2,ti(X0,X3))), 37.24/36.96 inference(rectify,[],[f87])). 37.24/36.96 fof(f87,axiom,( 37.24/36.96 ! [X0,X2,X38,X39] : hAPP(X0,X2,X38,X39) = hAPP(X0,X2,X38,ti(X0,X39))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg2)). 37.24/36.96 fof(f21417,plain,( 37.24/36.96 ( ! [X0] : (~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))) | hBOOL(hAPP(hoare_509422987triple(state),bool,X0,sK3(hoare_509422987triple(state),X0)))) )), 37.24/36.96 inference(subsumption_resolution,[],[f21416,f441])). 37.24/36.96 fof(f21416,plain,( 37.24/36.96 ( ! [X0] : (~hBOOL(hoare_1883395792gleton) | ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))) | hBOOL(hAPP(hoare_509422987triple(state),bool,X0,sK3(hoare_509422987triple(state),X0)))) )), 37.24/36.96 inference(forward_demodulation,[],[f21392,f13482])). 37.24/36.96 fof(f13482,plain,( 37.24/36.96 ( ! [X300,X299] : (hAPP(fun(hoare_509422987triple(X299),bool),bool,hAPP(fun(hoare_509422987triple(X299),bool),fun(fun(hoare_509422987triple(X299),bool),bool),hoare_122391849derivs(X299),X300),bot_bot(fun(hoare_509422987triple(X299),bool))) = hoare_1883395792gleton) )), 37.24/36.96 inference(subsumption_resolution,[],[f13341,f459])). 37.24/36.96 fof(f13341,plain,( 37.24/36.96 ( ! [X300,X299] : (hBOOL(fFalse) | hAPP(fun(hoare_509422987triple(X299),bool),bool,hAPP(fun(hoare_509422987triple(X299),bool),fun(fun(hoare_509422987triple(X299),bool),bool),hoare_122391849derivs(X299),X300),bot_bot(fun(hoare_509422987triple(X299),bool))) = hoare_1883395792gleton) )), 37.24/36.96 inference(superposition,[],[f500,f13089])). 37.24/36.96 fof(f500,plain,( 37.24/36.96 ( ! [X0,X1] : (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool))))) )), 37.24/36.96 inference(cnf_transformation,[],[f189])). 37.24/36.96 fof(f189,plain,( 37.24/36.96 ! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool))))), 37.24/36.96 inference(rectify,[],[f44])). 37.24/36.96 fof(f44,axiom,( 37.24/36.96 ! [X0,X17] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X17),bot_bot(fun(hoare_509422987triple(X0),bool))))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty)). 37.24/36.96 fof(f21392,plain,( 37.24/36.96 ( ! [X0] : (~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),bot_bot(fun(hoare_509422987triple(state),bool)))) | ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))) | hBOOL(hAPP(hoare_509422987triple(state),bool,X0,sK3(hoare_509422987triple(state),X0)))) )), 37.24/36.96 inference(superposition,[],[f6210,f1333])). 37.24/36.96 fof(f1333,plain,( 37.24/36.96 ( ! [X12,X10,X13,X11] : (hAPP(fun(X10,bool),X12,X13,X11) = hAPP(fun(X10,bool),X12,X13,bot_bot(fun(X10,bool))) | hBOOL(hAPP(X10,bool,X11,sK3(X10,X11)))) )), 37.24/36.96 inference(superposition,[],[f579,f676])). 37.24/36.96 fof(f676,plain,( 37.24/36.96 ( ! [X0,X1] : (ti(fun(X0,bool),X1) = bot_bot(fun(X0,bool)) | hBOOL(hAPP(X0,bool,X1,sK3(X0,X1)))) )), 37.24/36.96 inference(forward_demodulation,[],[f525,f493])). 37.24/36.96 fof(f525,plain,( 37.24/36.96 ( ! [X0,X1] : (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool)) | hBOOL(hAPP(X0,bool,X1,sK3(X0,X1)))) )), 37.24/36.96 inference(cnf_transformation,[],[f394])). 37.24/36.96 fof(f394,plain,( 37.24/36.96 ! [X0,X1] : ((! [X2] : ~hBOOL(hAPP(X0,bool,X1,X2)) | hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) != bot_bot(fun(X0,bool))) & (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool)) | hBOOL(hAPP(X0,bool,X1,sK3(X0,X1)))))), 37.24/36.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f392,f393])). 37.24/36.96 fof(f393,plain,( 37.24/36.96 ! [X1,X0] : (? [X3] : hBOOL(hAPP(X0,bool,X1,X3)) => hBOOL(hAPP(X0,bool,X1,sK3(X0,X1))))), 37.24/36.96 introduced(choice_axiom,[])). 37.24/36.96 fof(f392,plain,( 37.24/36.96 ! [X0,X1] : ((! [X2] : ~hBOOL(hAPP(X0,bool,X1,X2)) | hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) != bot_bot(fun(X0,bool))) & (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool)) | ? [X3] : hBOOL(hAPP(X0,bool,X1,X3))))), 37.24/36.96 inference(rectify,[],[f391])). 37.24/36.96 fof(f391,plain,( 37.24/36.96 ! [X0,X1] : ((! [X2] : ~hBOOL(hAPP(X0,bool,X1,X2)) | hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) != bot_bot(fun(X0,bool))) & (hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool)) | ? [X2] : hBOOL(hAPP(X0,bool,X1,X2))))), 37.24/36.96 inference(nnf_transformation,[],[f210])). 37.24/36.96 fof(f210,plain,( 37.24/36.96 ! [X0,X1] : (! [X2] : ~hBOOL(hAPP(X0,bool,X1,X2)) <=> hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool)))), 37.24/36.96 inference(rectify,[],[f136])). 37.24/36.96 fof(f136,axiom,( 37.24/36.96 ! [X0,X6] : (! [X11] : ~hBOOL(hAPP(X0,bool,X6,X11)) <=> hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X6) = bot_bot(fun(X0,bool)))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_empty__Collect__eq)). 37.24/36.96 fof(f6210,plain,( 37.24/36.96 ( ! [X0] : (~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),X0)) | ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))) )), 37.24/36.96 inference(resolution,[],[f604,f748])). 37.24/36.96 fof(f748,plain,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))), 37.24/36.96 inference(backward_demodulation,[],[f655,f713])). 37.24/36.96 fof(f713,plain,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))), 37.24/36.96 inference(backward_demodulation,[],[f579,f661])). 37.24/36.96 fof(f661,plain,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),ti(fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))))), 37.24/36.96 inference(backward_demodulation,[],[f660,f440])). 37.24/36.96 fof(f440,plain,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))), 37.24/36.96 inference(cnf_transformation,[],[f171])). 37.24/36.96 fof(f171,plain,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))), 37.24/36.96 inference(flattening,[],[f65])). 37.24/36.96 fof(f65,negated_conjecture,( 37.24/36.96 ~hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))), 37.24/36.96 inference(negated_conjecture,[],[f64])). 37.24/36.96 fof(f64,conjecture,( 37.24/36.96 hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7)). 37.24/36.96 fof(f655,plain,( 37.24/36.96 ( ! [X4,X2,X0,X5,X3,X1] : (hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X3),hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),X4),X5)) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),hAPP(fun(X2,X0),fun(X2,X1),hAPP(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1)),combb(X0,X1,X2),X3),X4)),X5)) )), 37.24/36.96 inference(cnf_transformation,[],[f294])). 37.24/36.96 fof(f294,plain,( 37.24/36.96 ! [X0,X1,X2,X3,X4,X5] : hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X3),hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),X4),X5)) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),hAPP(fun(X2,X0),fun(X2,X1),hAPP(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1)),combb(X0,X1,X2),X3),X4)),X5)), 37.24/36.96 inference(rectify,[],[f36])). 37.24/36.96 fof(f36,axiom,( 37.24/36.96 ! [X1,X0,X2,X10,X25,X3] : hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X10),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X25),X3)) = hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),hAPP(fun(X2,X1),fun(X2,X0),hAPP(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0)),combb(X1,X0,X2),X10),X25)),X3)), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_image__image)). 37.24/36.96 fof(f604,plain,( 37.24/36.96 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2)) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3))) )), 37.24/36.96 inference(cnf_transformation,[],[f353])). 37.24/36.96 fof(f353,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2)) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)))), 37.24/36.96 inference(flattening,[],[f352])). 37.24/36.96 fof(f352,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))) | ~hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)))), 37.24/36.96 inference(ennf_transformation,[],[f265])). 37.24/36.96 fof(f265,plain,( 37.24/36.96 ! [X0,X1,X2,X3] : (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) => (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2)) => hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))))), 37.24/36.96 inference(rectify,[],[f21])). 37.24/36.96 fof(f21,axiom,( 37.24/36.96 ! [X0,X17,X18,X19] : (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X18),X19)) => (hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X17),X18)) => hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X17),X19))))), 37.24/36.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut)). 37.24/36.96 % SZS output end Proof for theBenchmark 37.24/36.96 % ------------------------------ 37.24/36.96 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 37.24/36.96 % Termination reason: Refutation 37.24/36.96 37.24/36.96 % Memory used [KB]: 18166 37.24/36.96 % Time elapsed: 0.697 s 37.24/36.96 % ------------------------------ 37.24/36.96 % ------------------------------ 37.24/36.97 % Success in time 36.619 s 37.24/36.97 EOF