0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_vampire %s %d THM 0.12/0.35 % Computer : n017.cluster.edu 0.12/0.35 % Model : x86_64 x86_64 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.35 % Memory : 8042.1875MB 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.35 % CPULimit : 1440 0.12/0.35 % WCLimit : 180 0.12/0.35 % DateTime : Thu Jul 4 07:48:24 EDT 2024 0.12/0.36 % CPUTime : 0.12/0.38 This is a TFF_ problem 0.12/0.38 Running first-order theorem proving 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.44 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (29571)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/32Mi) 0.21/0.44 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (29565)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/59848Mi) 0.21/0.44 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (29570)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/15Mi) 0.21/0.44 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (29568)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.21/0.44 % (29568)Instruction limit reached! 0.21/0.44 % (29568)------------------------------ 0.21/0.44 % (29568)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (29568)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (29568)Termination reason: Time limit 0.21/0.44 % (29568)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (29568)Memory used [KB]: 859 0.21/0.44 % (29568)Time elapsed: 0.002 s 0.21/0.44 % (29568)Instructions burned: 2 (million) 0.21/0.45 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (29567)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/8Mi) 0.21/0.45 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (29569)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/37Mi) 0.21/0.45 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (29566)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/34Mi) 0.21/0.45 % (29570)Instruction limit reached! 0.21/0.45 % (29570)------------------------------ 0.21/0.45 % (29570)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (29571)Refutation not found, incomplete strategy% (29571)------------------------------ 0.21/0.45 % (29571)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (29571)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (29571)Termination reason: Refutation not found, incomplete strategy 0.21/0.45 0.21/0.45 % (29571)Memory used [KB]: 1113 0.21/0.45 % (29571)Time elapsed: 0.009 s 0.21/0.45 % (29571)Instructions burned: 16 (million) 0.21/0.45 % (29570)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (29570)Termination reason: Time limit 0.21/0.45 % (29570)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (29570)Memory used [KB]: 1109 0.21/0.45 % (29570)Time elapsed: 0.009 s 0.21/0.45 % (29570)Instructions burned: 16 (million) 0.21/0.45 % (29571)------------------------------ 0.21/0.45 % (29571)------------------------------ 0.21/0.45 % (29567)Instruction limit reached! 0.21/0.45 % (29567)------------------------------ 0.21/0.45 % (29567)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (29567)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (29567)Termination reason: Time limit 0.21/0.45 % (29567)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (29567)Memory used [KB]: 1082 0.21/0.45 % (29567)Time elapsed: 0.006 s 0.21/0.45 % (29567)Instructions burned: 9 (million) 0.21/0.46 % (29566)First to succeed. 0.21/0.46 % (29566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29564" 0.21/0.47 % (29564)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (29566)Refutation found. Thanks to Tanya! 0.21/0.47 % SZS status Theorem for theBenchmark 0.21/0.47 % SZS output start Proof for theBenchmark 0.21/0.47 tff(type_def_5, type, uni: $tType). 0.21/0.47 tff(type_def_6, type, ty: $tType). 0.21/0.47 tff(type_def_7, type, bool: $tType). 0.21/0.47 tff(type_def_8, type, tuple0: $tType). 0.21/0.47 tff(type_def_9, type, set1: $tType). 0.21/0.47 tff(type_def_10, type, map_int_lpmap_int_intrp: $tType). 0.21/0.47 tff(type_def_11, type, map_int_int: $tType). 0.21/0.47 tff(type_def_12, type, lpintcm_setrp: $tType). 0.21/0.47 tff(type_def_13, type, lpintcm_map_int_intrp: $tType). 0.21/0.47 tff(type_def_14, type, t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType). 0.21/0.47 tff(type_def_15, type, option_lpintcm_map_int_intrp: $tType). 0.21/0.47 tff(type_def_16, type, map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $tType). 0.21/0.47 tff(func_def_0, type, witness: ty > uni). 0.21/0.47 tff(func_def_1, type, int: ty). 0.21/0.47 tff(func_def_2, type, real: ty). 0.21/0.47 tff(func_def_3, type, bool1: ty). 0.21/0.47 tff(func_def_4, type, true: bool). 0.21/0.47 tff(func_def_5, type, false: bool). 0.21/0.47 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 0.21/0.47 tff(func_def_7, type, tuple01: ty). 0.21/0.47 tff(func_def_8, type, tuple02: tuple0). 0.21/0.47 tff(func_def_9, type, qtmark: ty). 0.21/0.47 tff(func_def_10, type, min: ($int * $int) > $int). 0.21/0.47 tff(func_def_11, type, max: ($int * $int) > $int). 0.21/0.47 tff(func_def_12, type, map: (ty * ty) > ty). 0.21/0.47 tff(func_def_13, type, get: (ty * ty * uni * uni) > uni). 0.21/0.47 tff(func_def_14, type, set: (ty * ty * uni * uni * uni) > uni). 0.21/0.47 tff(func_def_15, type, const: (ty * ty * uni) > uni). 0.21/0.47 tff(func_def_16, type, ref: ty > ty). 0.21/0.47 tff(func_def_17, type, mk_ref: (ty * uni) > uni). 0.21/0.47 tff(func_def_18, type, contents: (ty * uni) > uni). 0.21/0.47 tff(func_def_19, type, n: $int). 0.21/0.47 tff(func_def_20, type, size: $int). 0.21/0.47 tff(func_def_21, type, set2: ty). 0.21/0.47 tff(func_def_22, type, remove: ($int * set1) > set1). 0.21/0.47 tff(func_def_23, type, below: $int > set1). 0.21/0.47 tff(func_def_24, type, cardinal: set1 > $int). 0.21/0.47 tff(func_def_25, type, m: map_int_lpmap_int_intrp). 0.21/0.47 tff(func_def_26, type, t2tb: map_int_int > uni). 0.21/0.47 tff(func_def_27, type, tb2t: uni > map_int_int). 0.21/0.47 tff(func_def_28, type, t2tb1: map_int_lpmap_int_intrp > uni). 0.21/0.47 tff(func_def_29, type, tb2t1: uni > map_int_lpmap_int_intrp). 0.21/0.47 tff(func_def_30, type, t2tb2: $int > uni). 0.21/0.47 tff(func_def_31, type, tb2t2: uni > $int). 0.21/0.47 tff(func_def_32, type, f: (map_int_int * $int) > $int). 0.21/0.47 tff(func_def_33, type, sum: (map_int_int * $int * $int) > $int). 0.21/0.47 tff(func_def_34, type, option: ty > ty). 0.21/0.47 tff(func_def_35, type, none: ty > uni). 0.21/0.47 tff(func_def_36, type, some: (ty * uni) > uni). 0.21/0.47 tff(func_def_37, type, match_option: (ty * ty * uni * uni * uni) > uni). 0.21/0.47 tff(func_def_38, type, some_proj_1: (ty * uni) > uni). 0.21/0.47 tff(func_def_39, type, t: (ty * ty) > ty). 0.21/0.47 tff(func_def_40, type, mk_t: (ty * ty * uni) > uni). 0.21/0.47 tff(func_def_41, type, contents1: (ty * ty * uni) > uni). 0.21/0.47 tff(func_def_42, type, mixfix_lbrb: (ty * ty * uni * uni) > uni). 0.21/0.47 tff(func_def_43, type, tuple2: (ty * ty) > ty). 0.21/0.47 tff(func_def_44, type, tuple21: (ty * ty * uni * uni) > uni). 0.21/0.47 tff(func_def_45, type, tuple2_proj_1: (ty * ty * uni) > uni). 0.21/0.47 tff(func_def_46, type, tuple2_proj_2: (ty * ty * uni) > uni). 0.21/0.47 tff(func_def_47, type, t2tb3: lpintcm_setrp > uni). 0.21/0.47 tff(func_def_48, type, tb2t3: uni > lpintcm_setrp). 0.21/0.47 tff(func_def_49, type, t2tb4: set1 > uni). 0.21/0.47 tff(func_def_50, type, tb2t4: uni > set1). 0.21/0.47 tff(func_def_51, type, t2tb5: lpintcm_map_int_intrp > uni). 0.21/0.47 tff(func_def_52, type, tb2t5: uni > lpintcm_map_int_intrp). 0.21/0.47 tff(func_def_53, type, t2tb6: option_lpintcm_map_int_intrp > uni). 0.21/0.47 tff(func_def_54, type, tb2t6: uni > option_lpintcm_map_int_intrp). 0.21/0.47 tff(func_def_55, type, t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni). 0.21/0.47 tff(func_def_56, type, tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp). 0.21/0.47 tff(func_def_57, type, t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni). 0.21/0.47 tff(func_def_58, type, tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 0.21/0.47 tff(func_def_65, type, sK0: ($int * map_int_int * map_int_int * $int) > $int). 0.21/0.47 tff(func_def_66, type, sK1: set1 > $int). 0.21/0.47 tff(func_def_67, type, sK2: set1 > $int). 0.21/0.47 tff(func_def_68, type, sK3: ($int * set1 * $int) > map_int_int). 0.21/0.47 tff(func_def_69, type, sK4: ($int * set1 * map_int_int) > $int). 0.21/0.47 tff(func_def_70, type, sK5: ($int * set1 * map_int_int) > $int). 0.21/0.47 tff(func_def_71, type, sK6: ($int * map_int_int) > $int). 0.21/0.47 tff(func_def_72, type, sK7: ($int * map_int_int) > $int). 0.21/0.47 tff(func_def_73, type, sK8: ($int * map_int_int) > $int). 0.21/0.47 tff(func_def_74, type, sK9: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 0.21/0.47 tff(func_def_75, type, sK10: lpintcm_setrp). 0.21/0.47 tff(func_def_76, type, sK11: lpintcm_map_int_intrp). 0.21/0.47 tff(pred_def_1, type, sort: (ty * uni) > $o). 0.21/0.47 tff(pred_def_2, type, mem: ($int * set1) > $o). 0.21/0.47 tff(pred_def_3, type, solution: (map_int_int * $int) > $o). 0.21/0.47 tff(pred_def_4, type, pre: lpintcm_setrp > $o). 0.21/0.47 tff(pred_def_5, type, post: (lpintcm_setrp * lpintcm_map_int_intrp) > $o). 0.21/0.47 tff(pred_def_6, type, inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o). 0.21/0.47 tff(f551,plain,( 0.21/0.47 $false), 0.21/0.47 inference(subsumption_resolution,[],[f550,f361])). 0.21/0.47 tff(f361,plain,( 0.21/0.47 ( ! [X0 : lpintcm_setrp] : (sort(tuple2(int,set2),t2tb3(X0))) )), 0.21/0.47 inference(cnf_transformation,[],[f211])). 0.21/0.47 tff(f211,plain,( 0.21/0.47 ! [X0 : lpintcm_setrp] : sort(tuple2(int,set2),t2tb3(X0))), 0.21/0.47 inference(rectify,[],[f65])). 0.21/0.47 tff(f65,axiom,( 0.21/0.47 ! [X14 : lpintcm_setrp] : sort(tuple2(int,set2),t2tb3(X14))), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f550,plain,( 0.21/0.47 ~sort(tuple2(int,set2),t2tb3(sK10))), 0.21/0.47 inference(trivial_inequality_removal,[],[f548])). 0.21/0.47 tff(f548,plain,( 0.21/0.47 none(tuple2(int,map(int,int))) != none(tuple2(int,map(int,int))) | ~sort(tuple2(int,set2),t2tb3(sK10))), 0.21/0.47 inference(superposition,[],[f538,f547])). 0.21/0.47 tff(f547,plain,( 0.21/0.47 ( ! [X0 : uni] : (none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),X0) | ~sort(tuple2(int,set2),X0)) )), 0.21/0.47 inference(subsumption_resolution,[],[f545,f482])). 0.21/0.47 tff(f482,plain,( 0.21/0.47 ( ! [X2 : ty,X0 : ty,X1 : uni] : (sort(X2,tuple2_proj_2(X0,X2,X1))) )), 0.21/0.47 inference(cnf_transformation,[],[f210])). 0.21/0.47 tff(f210,plain,( 0.21/0.47 ! [X0 : ty,X1 : uni,X2 : ty] : sort(X2,tuple2_proj_2(X0,X2,X1))), 0.21/0.47 inference(rectify,[],[f95])). 0.21/0.47 tff(f95,axiom,( 0.21/0.47 ! [X11 : ty,X14 : uni,X10 : ty] : sort(X10,tuple2_proj_2(X11,X10,X14))), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f545,plain,( 0.21/0.47 ( ! [X0 : uni] : (none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),X0) | ~sort(set2,tuple2_proj_2(int,set2,X0)) | ~sort(tuple2(int,set2),X0)) )), 0.21/0.47 inference(superposition,[],[f535,f472])). 0.21/0.47 tff(f472,plain,( 0.21/0.47 ( ! [X2 : ty,X0 : ty,X1 : uni] : (tuple21(X0,X2,tuple2_proj_1(X0,X2,X1),tuple2_proj_2(X0,X2,X1)) = X1 | ~sort(tuple2(X0,X2),X1)) )), 0.21/0.47 inference(cnf_transformation,[],[f341])). 0.21/0.47 tff(f341,plain,( 0.21/0.47 ! [X0 : ty,X1 : uni,X2 : ty] : (~sort(tuple2(X0,X2),X1) | tuple21(X0,X2,tuple2_proj_1(X0,X2,X1),tuple2_proj_2(X0,X2,X1)) = X1)), 0.21/0.47 inference(rectify,[],[f270])). 0.21/0.47 tff(f270,plain,( 0.21/0.47 ! [X0 : ty,X2 : uni,X1 : ty] : (~sort(tuple2(X0,X1),X2) | tuple21(X0,X1,tuple2_proj_1(X0,X1,X2),tuple2_proj_2(X0,X1,X2)) = X2)), 0.21/0.47 inference(ennf_transformation,[],[f160])). 0.21/0.47 tff(f160,plain,( 0.21/0.47 ! [X1 : ty,X2 : uni,X0 : ty] : (sort(tuple2(X0,X1),X2) => tuple21(X0,X1,tuple2_proj_1(X0,X1,X2),tuple2_proj_2(X0,X1,X2)) = X2)), 0.21/0.47 inference(rectify,[],[f20])). 0.21/0.47 tff(f20,axiom,( 0.21/0.47 ! [X11 : ty,X10 : ty,X4 : uni] : (sort(tuple2(X11,X10),X4) => tuple21(X11,X10,tuple2_proj_1(X11,X10,X4),tuple2_proj_2(X11,X10,X4)) = X4)), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f535,plain,( 0.21/0.47 ( ! [X0 : uni,X1 : uni] : (none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,X1,X0)) | ~sort(set2,X0)) )), 0.21/0.47 inference(superposition,[],[f516,f477])). 0.21/0.47 tff(f477,plain,( 0.21/0.47 ( ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0)) )), 0.21/0.47 inference(cnf_transformation,[],[f234])). 0.21/0.47 tff(f234,plain,( 0.21/0.47 ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0))), 0.21/0.47 inference(ennf_transformation,[],[f213])). 0.21/0.47 tff(f213,plain,( 0.21/0.47 ! [X0 : uni] : (sort(set2,X0) => t2tb4(tb2t4(X0)) = X0)), 0.21/0.47 inference(rectify,[],[f9])). 0.21/0.47 tff(f9,axiom,( 0.21/0.47 ! [X3 : uni] : (sort(set2,X3) => t2tb4(tb2t4(X3)) = X3)), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f516,plain,( 0.21/0.47 ( ! [X0 : uni,X1 : set1] : (none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,X0,t2tb4(X1)))) )), 0.21/0.47 inference(superposition,[],[f515,f398])). 0.21/0.47 tff(f398,plain,( 0.21/0.47 ( ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0) )), 0.21/0.47 inference(cnf_transformation,[],[f190])). 0.21/0.47 tff(f190,plain,( 0.21/0.47 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 0.21/0.47 inference(rectify,[],[f90])). 0.21/0.47 tff(f90,axiom,( 0.21/0.47 ! [X3 : uni] : t2tb2(tb2t2(X3)) = X3), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f515,plain,( 0.21/0.47 ( ! [X0 : $int,X1 : set1] : (none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) )), 0.21/0.47 inference(forward_demodulation,[],[f514,f382])). 0.21/0.47 tff(f382,plain,( 0.21/0.47 ( ! [X0 : uni] : (t2tb6(tb2t6(X0)) = X0) )), 0.21/0.47 inference(cnf_transformation,[],[f208])). 0.21/0.47 tff(f208,plain,( 0.21/0.47 ! [X0 : uni] : t2tb6(tb2t6(X0)) = X0), 0.21/0.47 inference(rectify,[],[f94])). 0.21/0.47 tff(f94,axiom,( 0.21/0.47 ! [X3 : uni] : t2tb6(tb2t6(X3)) = X3), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f514,plain,( 0.21/0.47 ( ! [X0 : $int,X1 : set1] : (get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,t2tb2(X0),t2tb4(X1))) = t2tb6(tb2t6(none(tuple2(int,map(int,int)))))) )), 0.21/0.47 inference(superposition,[],[f382,f464])). 0.21/0.47 tff(f464,plain,( 0.21/0.47 ( ! [X3 : set1,X4 : $int] : (tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,t2tb2(X4),t2tb4(X3))))) )), 0.21/0.47 inference(cnf_transformation,[],[f336])). 0.21/0.47 tff(f336,plain,( 0.21/0.47 (tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK11))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)),t2tb3(sK10))) & ~post(sK10,sK11)) & ! [X3 : set1,X4 : $int] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,t2tb2(X4),t2tb4(X3))))), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f333,f335,f334])). 0.21/0.47 tff(f334,plain,( 0.21/0.47 ? [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (? [X1 : lpintcm_setrp,X2 : lpintcm_map_int_intrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X1))) & ~post(X1,X2)) & ! [X3 : set1,X4 : $int] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X4),t2tb4(X3))))) => (? [X2 : lpintcm_map_int_intrp,X1 : lpintcm_setrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)),t2tb3(X1))) & ~post(X1,X2)) & ! [X4 : $int,X3 : set1] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),tuple21(int,set2,t2tb2(X4),t2tb4(X3)))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 tff(f335,plain,( 0.21/0.47 ? [X2 : lpintcm_map_int_intrp,X1 : lpintcm_setrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)),t2tb3(X1))) & ~post(X1,X2)) => (tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK11))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)),t2tb3(sK10))) & ~post(sK10,sK11))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 tff(f333,plain,( 0.21/0.47 ? [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (? [X1 : lpintcm_setrp,X2 : lpintcm_map_int_intrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X1))) & ~post(X1,X2)) & ! [X3 : set1,X4 : $int] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X4),t2tb4(X3)))))), 0.21/0.47 inference(rectify,[],[f247])). 0.21/0.47 tff(f247,plain,( 0.21/0.47 ? [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (? [X4 : lpintcm_setrp,X3 : lpintcm_map_int_intrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X3))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X4))) & ~post(X4,X3)) & ! [X2 : set1,X1 : $int] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X1),t2tb4(X2)))))), 0.21/0.47 inference(ennf_transformation,[],[f149])). 0.21/0.47 tff(f149,plain,( 0.21/0.47 ~! [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (! [X2 : set1,X1 : $int] : tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X1),t2tb4(X2)))) => ! [X4 : lpintcm_setrp,X3 : lpintcm_map_int_intrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X3))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X4))) => post(X4,X3)))), 0.21/0.47 inference(rectify,[],[f11])). 0.21/0.47 tff(f11,negated_conjecture,( 0.21/0.47 ~! [X16 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (! [X2 : $int,X8 : set1] : tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X16),tuple21(int,set2,t2tb2(X2),t2tb4(X8)))) = tb2t6(none(tuple2(int,map(int,int)))) => ! [X6 : lpintcm_map_int_intrp,X2 : lpintcm_setrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X6))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X16)),t2tb3(X2))) => post(X2,X6)))), 0.21/0.47 inference(negated_conjecture,[],[f10])). 0.21/0.47 tff(f10,conjecture,( 0.21/0.47 ! [X16 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (! [X2 : $int,X8 : set1] : tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X16),tuple21(int,set2,t2tb2(X2),t2tb4(X8)))) = tb2t6(none(tuple2(int,map(int,int)))) => ! [X6 : lpintcm_map_int_intrp,X2 : lpintcm_setrp] : (tb2t6(some(tuple2(int,map(int,int)),t2tb5(X6))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X16)),t2tb3(X2))) => post(X2,X6)))), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f538,plain,( 0.21/0.47 none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),t2tb3(sK10))), 0.21/0.47 inference(subsumption_resolution,[],[f537,f395])). 0.21/0.47 tff(f395,plain,( 0.21/0.47 ( ! [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X0))) )), 0.21/0.47 inference(cnf_transformation,[],[f177])). 0.21/0.47 tff(f177,plain,( 0.21/0.47 ! [X0 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X0))), 0.21/0.47 inference(rectify,[],[f16])). 0.21/0.47 tff(f16,axiom,( 0.21/0.47 ! [X14 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X14))), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f537,plain,( 0.21/0.47 ~sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(sK9)) | none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK9),t2tb3(sK10))), 0.21/0.47 inference(superposition,[],[f524,f391])). 0.21/0.47 tff(f391,plain,( 0.21/0.47 ( ! [X2 : uni,X0 : ty,X1 : ty] : (contents1(X0,X1,mk_t(X0,X1,X2)) = X2 | ~sort(map(X1,option(X0)),X2)) )), 0.21/0.47 inference(cnf_transformation,[],[f296])). 0.21/0.47 tff(f296,plain,( 0.21/0.47 ! [X0 : ty,X1 : ty,X2 : uni] : (contents1(X0,X1,mk_t(X0,X1,X2)) = X2 | ~sort(map(X1,option(X0)),X2))), 0.21/0.47 inference(rectify,[],[f248])). 0.21/0.47 tff(f248,plain,( 0.21/0.47 ! [X2 : ty,X1 : ty,X0 : uni] : (contents1(X2,X1,mk_t(X2,X1,X0)) = X0 | ~sort(map(X1,option(X2)),X0))), 0.21/0.47 inference(ennf_transformation,[],[f199])). 0.21/0.47 tff(f199,plain,( 0.21/0.47 ! [X2 : ty,X1 : ty,X0 : uni] : (sort(map(X1,option(X2)),X0) => contents1(X2,X1,mk_t(X2,X1,X0)) = X0)), 0.21/0.47 inference(rectify,[],[f51])). 0.21/0.47 tff(f51,axiom,( 0.21/0.47 ! [X4 : uni,X10 : ty,X17 : ty] : (sort(map(X10,option(X17)),X4) => contents1(X17,X10,mk_t(X17,X10,X4)) = X4)), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f524,plain,( 0.21/0.47 none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9))),t2tb3(sK10))), 0.21/0.47 inference(superposition,[],[f379,f520])). 0.21/0.47 tff(f520,plain,( 0.21/0.47 some(tuple2(int,map(int,int)),t2tb5(sK11)) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9))),t2tb3(sK10))), 0.21/0.47 inference(forward_demodulation,[],[f519,f382])). 0.21/0.47 tff(f519,plain,( 0.21/0.47 some(tuple2(int,map(int,int)),t2tb5(sK11)) = t2tb6(tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9))),t2tb3(sK10))))), 0.21/0.47 inference(superposition,[],[f382,f496])). 0.21/0.47 tff(f496,plain,( 0.21/0.47 tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK11))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9))),t2tb3(sK10)))), 0.21/0.47 inference(definition_unfolding,[],[f466,f401])). 0.21/0.47 tff(f401,plain,( 0.21/0.47 ( ! [X2 : uni,X3 : ty,X0 : ty,X1 : uni] : (mixfix_lbrb(X3,X0,X2,X1) = get(option(X3),X0,contents1(X3,X0,X2),X1)) )), 0.21/0.47 inference(cnf_transformation,[],[f222])). 0.21/0.47 tff(f222,plain,( 0.21/0.47 ! [X0 : ty,X1 : uni,X2 : uni,X3 : ty] : mixfix_lbrb(X3,X0,X2,X1) = get(option(X3),X0,contents1(X3,X0,X2),X1)), 0.21/0.47 inference(rectify,[],[f72])). 0.21/0.47 tff(f72,axiom,( 0.21/0.47 ! [X10 : ty,X2 : uni,X29 : uni,X17 : ty] : mixfix_lbrb(X17,X10,X29,X2) = get(option(X17),X10,contents1(X17,X10,X29),X2)), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 tff(f466,plain,( 0.21/0.47 tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK11))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)),t2tb3(sK10)))), 0.21/0.47 inference(cnf_transformation,[],[f336])). 0.21/0.47 tff(f379,plain,( 0.21/0.47 ( ! [X0 : ty,X1 : uni] : (none(X0) != some(X0,X1)) )), 0.21/0.47 inference(cnf_transformation,[],[f291])). 0.21/0.47 tff(f291,plain,( 0.21/0.47 ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)), 0.21/0.47 inference(rectify,[],[f157])). 0.21/0.47 tff(f157,plain,( 0.21/0.47 ! [X1 : ty,X0 : uni] : none(X1) != some(X1,X0)), 0.21/0.47 inference(rectify,[],[f12])). 0.21/0.47 tff(f12,axiom,( 0.21/0.47 ! [X6 : uni,X10 : ty] : none(X10) != some(X10,X6)), 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.47 % SZS output end Proof for theBenchmark 0.21/0.47 % (29566)------------------------------ 0.21/0.47 % (29566)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.47 % (29566)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.47 % (29566)Termination reason: Refutation 0.21/0.47 0.21/0.47 % (29566)Memory used [KB]: 1324 0.21/0.47 % (29566)Time elapsed: 0.019 s 0.21/0.47 % (29566)Instructions burned: 33 (million) 0.21/0.47 % (29566)------------------------------ 0.21/0.47 % (29566)------------------------------ 0.21/0.47 % (29564)Success in time 0.073 s 0.21/0.47 EOF