0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.23 % Computer : n003.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:30:10 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.27 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.51/0.77 % Time limit reached! 0.51/0.77 % ------------------------------ 0.51/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.51/0.77 % Termination reason: Time limit 0.51/0.77 % Termination phase: Saturation 0.51/0.77 0.51/0.77 % Memory used [KB]: 5756 0.51/0.77 % Time elapsed: 0.500 s 0.51/0.77 % ------------------------------ 0.51/0.77 % ------------------------------ 0.58/0.81 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark 0.58/1.05 % Refutation found. Thanks to Tanya! 0.58/1.05 % SZS status Theorem for theBenchmark 0.58/1.05 % SZS output start Proof for theBenchmark 0.58/1.05 tff(type_def_5, type, list: $tType). 0.58/1.05 tff(func_def_0, type, nil: list). 0.58/1.05 tff(func_def_1, type, cons: ($int * list) > list). 0.58/1.05 tff(func_def_2, type, head: list > $int). 0.58/1.05 tff(func_def_3, type, tail: list > list). 0.58/1.05 tff(func_def_4, type, length: list > $int). 0.58/1.05 tff(func_def_5, type, count: ($int * list) > $int). 0.58/1.05 tff(func_def_6, type, append: (list * list) > list). 0.58/1.05 tff(func_def_13, type, sK0: ($int * list) > $int). 0.58/1.05 tff(func_def_14, type, sK1: ($int * list) > list). 0.58/1.05 tff(func_def_15, type, sK2: ($int * list) > $int). 0.58/1.05 tff(func_def_16, type, sK3: ($int * list) > list). 0.58/1.05 tff(func_def_17, type, sK4: ($int * list) > $int). 0.58/1.05 tff(func_def_18, type, sK5: ($int * list) > list). 0.58/1.05 tff(pred_def_1, type, in: ($int * list) > $o). 0.58/1.05 tff(pred_def_2, type, inRange: ($int * list) > $o). 0.58/1.05 tff(f1,axiom,( 0.58/1.05 ! [X0 : $int,X1 : list] : (in(X0,X1) <=> $greater(count(X0,X1),0))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8)). 0.58/1.05 tff(f2,axiom,( 0.58/1.05 ! [X2 : $int] : count(X2,nil) = 0), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a)). 0.58/1.05 tff(f4,axiom,( 0.58/1.05 ! [X2 : $int,X1 : list] : nil != cons(X2,X1)), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4)). 0.58/1.05 tff(f5,axiom,( 0.58/1.05 ! [X2 : $int,X3 : $int,X4 : list,X0 : $int] : (X2 = X3 => count(X2,cons(X3,X4)) = $sum(count(X2,X4),1))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_4)). 0.58/1.05 tff(f7,axiom,( 0.58/1.05 ! [X2 : $int,X1 : list] : head(cons(X2,X1)) = X2), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)). 0.58/1.05 tff(f8,axiom,( 0.58/1.05 ! [X5 : $int,X1 : list] : ((? [X3 : $int,X4 : list] : (in(X5,X4) & cons(X3,X4) = X1) | ? [X3 : $int,X4 : list] : (X3 = X5 & cons(X3,X4) = X1)) <=> in(X5,X1))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv)). 0.58/1.05 tff(f9,axiom,( 0.58/1.05 ! [X3 : $int,X4 : list] : length(cons(X3,X4)) = $sum(1,length(X4))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1)). 0.58/1.05 tff(f11,axiom,( 0.58/1.05 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (nil = X1 | ? [X2 : $int,X4 : list] : ($less(X2,X0) & inRange(X0,X4) & $lesseq(0,X2) & cons(X2,X4) = X1)))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange)). 0.58/1.05 tff(f13,axiom,( 0.58/1.05 length(nil) = 0), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l)). 0.58/1.05 tff(f14,axiom,( 0.58/1.05 ! [X2 : $int,X3 : $int,X4 : list,X0 : $int] : (X2 != X3 => count(X2,X4) = count(X2,cons(X3,X4)))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_3)). 0.58/1.05 tff(f15,conjecture,( 0.58/1.05 ~! [X1 : list,X0 : $int] : (($greatereq(length(X1),4) & $greatereq(X0,3)) => inRange(X0,X1))), 0.58/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_9)). 0.58/1.05 tff(f16,negated_conjecture,( 0.58/1.05 ~~! [X1 : list,X0 : $int] : (($greatereq(length(X1),4) & $greatereq(X0,3)) => inRange(X0,X1))), 0.58/1.05 inference(negated_conjecture,[],[f15])). 0.58/1.05 tff(f17,plain,( 0.58/1.05 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f18,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f22,plain,( 0.58/1.05 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f23,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f24,plain,( 0.58/1.05 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f25,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f26,plain,( 0.58/1.05 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f28,plain,( 0.58/1.05 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 0.58/1.05 introduced(theory_axiom,[])). 0.58/1.05 tff(f29,plain,( 0.58/1.05 ! [X1 : list,X0 : $int] : ((~$less(length(X1),4) & ~$less(X0,3)) => inRange(X0,X1))), 0.58/1.05 inference(evaluation,[],[f16])). 0.58/1.05 tff(f30,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : (in(X0,X1) <=> $less(0,count(X0,X1)))), 0.58/1.05 inference(evaluation,[],[f1])). 0.58/1.05 tff(f31,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (nil = X1 | ? [X2 : $int,X4 : list] : ($less(X2,X0) & inRange(X0,X4) & ~$less(X2,0) & cons(X2,X4) = X1)))), 0.58/1.05 inference(evaluation,[],[f11])). 0.58/1.05 tff(f32,plain,( 0.58/1.05 ! [X0 : list,X1 : $int] : ((~$less(length(X0),4) & ~$less(X1,3)) => inRange(X1,X0))), 0.58/1.05 inference(rectify,[],[f29])). 0.58/1.05 tff(f34,plain,( 0.58/1.05 ! [X0 : $int] : count(X0,nil) = 0), 0.58/1.05 inference(rectify,[],[f2])). 0.58/1.05 tff(f36,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : nil != cons(X0,X1)), 0.58/1.05 inference(rectify,[],[f4])). 0.58/1.05 tff(f37,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : head(cons(X0,X1)) = X0), 0.58/1.05 inference(rectify,[],[f7])). 0.58/1.05 tff(f39,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : length(cons(X0,X1)) = $sum(1,length(X1))), 0.58/1.05 inference(rectify,[],[f9])). 0.58/1.05 tff(f40,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (nil = X1 | ? [X2 : $int,X3 : list] : ($less(X2,X0) & inRange(X0,X3) & ~$less(X2,0) & cons(X2,X3) = X1)))), 0.58/1.05 inference(rectify,[],[f31])). 0.58/1.05 tff(f41,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((? [X2 : $int,X3 : list] : (in(X0,X3) & cons(X2,X3) = X1) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1)) <=> in(X0,X1))), 0.58/1.05 inference(rectify,[],[f8])). 0.58/1.05 tff(f43,plain,( 0.58/1.05 ! [X0 : $int,X1 : $int,X2 : list] : (X0 != X1 => count(X0,X2) = count(X0,cons(X1,X2)))), 0.58/1.05 inference(rectify,[],[f14])). 0.58/1.05 tff(f44,plain,( 0.58/1.05 ! [X0 : $int,X1 : $int,X2 : list] : (X0 = X1 => count(X0,cons(X1,X2)) = $sum(count(X0,X2),1))), 0.58/1.05 inference(rectify,[],[f5])). 0.58/1.05 tff(f45,plain,( 0.58/1.05 ! [X0 : list,X1 : $int] : (inRange(X1,X0) | ($less(length(X0),4) | $less(X1,3)))), 0.58/1.05 inference(ennf_transformation,[],[f32])). 0.58/1.05 tff(f46,plain,( 0.58/1.05 ! [X0 : list,X1 : $int] : (inRange(X1,X0) | $less(length(X0),4) | $less(X1,3))), 0.58/1.05 inference(flattening,[],[f45])). 0.58/1.05 tff(f47,plain,( 0.58/1.05 ! [X0 : $int,X1 : $int,X2 : list] : (count(X0,X2) = count(X0,cons(X1,X2)) | X0 = X1)), 0.58/1.05 inference(ennf_transformation,[],[f43])). 0.58/1.05 tff(f48,plain,( 0.58/1.05 ! [X0 : $int,X1 : $int,X2 : list] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1)), 0.58/1.05 inference(ennf_transformation,[],[f44])). 0.58/1.05 tff(f49,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((in(X0,X1) | ~$less(0,count(X0,X1))) & ($less(0,count(X0,X1)) | ~in(X0,X1)))), 0.58/1.05 inference(nnf_transformation,[],[f30])). 0.58/1.05 tff(f50,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (~$less(X2,X0) | ~inRange(X0,X3) | $less(X2,0) | cons(X2,X3) != X1))) & ((nil = X1 | ? [X2 : $int,X3 : list] : ($less(X2,X0) & inRange(X0,X3) & ~$less(X2,0) & cons(X2,X3) = X1)) | ~inRange(X0,X1)))), 0.58/1.05 inference(nnf_transformation,[],[f40])). 0.58/1.05 tff(f51,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (~$less(X2,X0) | ~inRange(X0,X3) | $less(X2,0) | cons(X2,X3) != X1))) & (nil = X1 | ? [X2 : $int,X3 : list] : ($less(X2,X0) & inRange(X0,X3) & ~$less(X2,0) & cons(X2,X3) = X1) | ~inRange(X0,X1)))), 0.58/1.05 inference(flattening,[],[f50])). 0.58/1.05 tff(f52,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (~$less(X2,X0) | ~inRange(X0,X3) | $less(X2,0) | cons(X2,X3) != X1))) & (nil = X1 | ? [X4 : $int,X5 : list] : ($less(X4,X0) & inRange(X0,X5) & ~$less(X4,0) & cons(X4,X5) = X1) | ~inRange(X0,X1)))), 0.58/1.05 inference(rectify,[],[f51])). 0.58/1.05 tff(f53,plain,( 0.58/1.05 ! [X1 : list,X0 : $int] : (? [X4 : $int,X5 : list] : ($less(X4,X0) & inRange(X0,X5) & ~$less(X4,0) & cons(X4,X5) = X1) => ($less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1)) & ~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X1))), 0.58/1.05 introduced(choice_axiom,[])). 0.58/1.05 tff(f54,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (~$less(X2,X0) | ~inRange(X0,X3) | $less(X2,0) | cons(X2,X3) != X1))) & (nil = X1 | ($less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1)) & ~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X1) | ~inRange(X0,X1)))), 0.58/1.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f53])). 0.58/1.05 tff(f55,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : (((? [X2 : $int,X3 : list] : (in(X0,X3) & cons(X2,X3) = X1) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1)) | ~in(X0,X1)) & (in(X0,X1) | (! [X2 : $int,X3 : list] : (~in(X0,X3) | cons(X2,X3) != X1) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))))), 0.58/1.05 inference(nnf_transformation,[],[f41])). 0.58/1.05 tff(f56,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((? [X2 : $int,X3 : list] : (in(X0,X3) & cons(X2,X3) = X1) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1) | ~in(X0,X1)) & (in(X0,X1) | (! [X2 : $int,X3 : list] : (~in(X0,X3) | cons(X2,X3) != X1) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))))), 0.58/1.05 inference(flattening,[],[f55])). 0.58/1.05 tff(f57,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : ((? [X2 : $int,X3 : list] : (in(X0,X3) & cons(X2,X3) = X1) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1) | ~in(X0,X1)) & (in(X0,X1) | (! [X6 : $int,X7 : list] : (~in(X0,X7) | cons(X6,X7) != X1) & ! [X8 : $int,X9 : list] : (X0 != X8 | cons(X8,X9) != X1))))), 0.58/1.05 inference(rectify,[],[f56])). 0.58/1.05 tff(f58,plain,( 0.58/1.05 ! [X1 : list,X0 : $int] : (? [X2 : $int,X3 : list] : (in(X0,X3) & cons(X2,X3) = X1) => (in(X0,sK3(X0,X1)) & cons(sK2(X0,X1),sK3(X0,X1)) = X1))), 0.58/1.05 introduced(choice_axiom,[])). 0.58/1.05 tff(f59,plain,( 0.58/1.05 ! [X1 : list,X0 : $int] : (? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1) => (sK4(X0,X1) = X0 & cons(sK4(X0,X1),sK5(X0,X1)) = X1))), 0.58/1.05 introduced(choice_axiom,[])). 0.58/1.05 tff(f60,plain,( 0.58/1.05 ! [X0 : $int,X1 : list] : (((in(X0,sK3(X0,X1)) & cons(sK2(X0,X1),sK3(X0,X1)) = X1) | (sK4(X0,X1) = X0 & cons(sK4(X0,X1),sK5(X0,X1)) = X1) | ~in(X0,X1)) & (in(X0,X1) | (! [X6 : $int,X7 : list] : (~in(X0,X7) | cons(X6,X7) != X1) & ! [X8 : $int,X9 : list] : (X0 != X8 | cons(X8,X9) != X1))))), 0.58/1.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f57,f59,f58])). 0.58/1.05 tff(f61,plain,( 0.58/1.05 ( ! [X0:list,X1:$int] : ($less(length(X0),4) | inRange(X1,X0) | $less(X1,3)) )), 0.58/1.05 inference(cnf_transformation,[],[f46])). 0.58/1.05 tff(f62,plain,( 0.58/1.05 length(nil) = 0), 0.58/1.05 inference(cnf_transformation,[],[f13])). 0.58/1.05 tff(f64,plain,( 0.58/1.05 ( ! [X0:$int] : (count(X0,nil) = 0) )), 0.58/1.05 inference(cnf_transformation,[],[f34])). 0.58/1.05 tff(f66,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (nil != cons(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f36])). 0.58/1.05 tff(f67,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (head(cons(X0,X1)) = X0) )), 0.58/1.05 inference(cnf_transformation,[],[f37])). 0.58/1.05 tff(f69,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (length(cons(X0,X1)) = $sum(1,length(X1))) )), 0.58/1.05 inference(cnf_transformation,[],[f39])). 0.58/1.05 tff(f70,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : ($less(0,count(X0,X1)) | ~in(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f49])). 0.58/1.05 tff(f71,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (~$less(0,count(X0,X1)) | in(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f49])). 0.58/1.05 tff(f72,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (cons(sK0(X0,X1),sK1(X0,X1)) = X1 | nil = X1 | ~inRange(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f54])). 0.58/1.05 tff(f73,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : (~$less(sK0(X0,X1),0) | nil = X1 | ~inRange(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f54])). 0.58/1.05 tff(f75,plain,( 0.58/1.05 ( ! [X0:$int,X1:list] : ($less(sK0(X0,X1),X0) | nil = X1 | ~inRange(X0,X1)) )), 0.58/1.05 inference(cnf_transformation,[],[f54])). 0.58/1.05 tff(f78,plain,( 0.58/1.05 ( ! [X0:$int,X8:$int,X1:list,X9:list] : (in(X0,X1) | X0 != X8 | cons(X8,X9) != X1) )), 0.58/1.05 inference(cnf_transformation,[],[f60])). 0.58/1.05 tff(f85,plain,( 0.58/1.05 ( ! [X2:list,X0:$int,X1:$int] : (count(X0,X2) = count(X0,cons(X1,X2)) | X0 = X1) )), 0.58/1.05 inference(cnf_transformation,[],[f47])). 0.58/1.05 tff(f86,plain,( 0.58/1.05 ( ! [X2:list,X0:$int,X1:$int] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1) )), 0.58/1.05 inference(cnf_transformation,[],[f48])). 0.58/1.05 tff(f90,plain,( 0.58/1.05 ( ! [X8:$int,X1:list,X9:list] : (in(X8,X1) | cons(X8,X9) != X1) )), 0.58/1.05 inference(equality_resolution,[],[f78])). 0.58/1.05 tff(f91,plain,( 0.58/1.05 ( ! [X8:$int,X9:list] : (in(X8,cons(X8,X9))) )), 0.58/1.05 inference(equality_resolution,[],[f90])). 0.58/1.05 tff(f92,plain,( 0.58/1.05 ( ! 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[X47:$int,X45:$int,X48:list,X46:list,X44:$int] : ($less(X44,3) | ~$less(4,count(X45,X46)) | inRange(X44,cons(X47,X48)) | ~$less($uminus(1),length(X48)) | in(X45,X46)) )), 0.58/1.05 inference(evaluation,[],[f1541])). 0.58/1.05 tff(f1566,plain,( 0.58/1.05 ( ! [X47:$int,X45:$int,X48:list,X46:list,X44:$int] : ($less(X44,3) | ~$less(4,count(X45,X46)) | inRange(X44,cons(X47,X48)) | ~$less(-1,length(X48)) | in(X45,X46)) )), 0.58/1.05 inference(evaluation,[],[f1565])). 0.58/1.05 tff(f1578,plain,( 0.58/1.05 spl6_14 <=> ! [X0 : $int] : ($less(1,X0) | ~$less(4,X0))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 0.58/1.05 tff(f1579,plain,( 0.58/1.05 ( ! [X0:$int] : (~$less(4,X0) | $less(1,X0)) ) | ~spl6_14), 0.58/1.05 inference(avatar_component_clause,[],[f1578])). 0.58/1.05 tff(f1580,plain,( 0.58/1.05 spl6_10 | spl6_14 | ~spl6_0), 0.58/1.05 inference(avatar_split_clause,[],[f1556,f94,f1578,f1488])). 0.58/1.05 tff(f1657,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(1,$sum(0,X0)),$sum(4,X0)) | $less(X1,3) | inRange(X1,cons(X2,nil))) ) | ~spl6_0), 0.58/1.05 inference(superposition,[],[f287,f95])). 0.58/1.05 tff(f1676,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(1,X0),$sum(4,X0)) | $less(X1,3) | inRange(X1,cons(X2,nil))) ) | ~spl6_0), 0.58/1.05 inference(evaluation,[],[f1657])). 0.58/1.05 tff(f1753,plain,( 0.58/1.05 ( ! [X14:$int,X12:list,X15:$int,X13:list] : (inRange(length(X12),X12) | $less(length(X13),3) | ~$less(4,X14) | inRange(X15,X13) | ~$less(X14,length(X12)) | $less(X15,3)) ) | ~spl6_8), 0.58/1.05 inference(resolution,[],[f1453,f249])). 0.58/1.05 tff(f1754,plain,( 0.58/1.05 ( ! [X17:list,X18:$int,X16:list] : (inRange(length(X16),X16) | $less(length(X17),3) | $less(X18,3) | ~$less(4,length(X16)) | inRange(X18,X17)) ) | ~spl6_8), 0.58/1.05 inference(resolution,[],[f1453,f99])). 0.58/1.05 tff(f1755,plain,( 0.58/1.05 ( ! [X21:$int,X19:list,X22:$int,X20:list] : (inRange(length(X19),X19) | $less($sum(1,length(X20)),3) | $less(X21,3) | ~$less(4,length(X19)) | inRange(X21,cons(X22,X20))) ) | ~spl6_8), 0.58/1.05 inference(resolution,[],[f1453,f256])). 0.58/1.05 tff(f1761,plain,( 0.58/1.05 ( ! [X21:$int,X19:list,X22:$int,X20:list] : (inRange(length(X19),X19) | $less(length(X20),$sum(3,-1)) | $less(X21,3) | ~$less(4,length(X19)) | inRange(X21,cons(X22,X20))) ) | ~spl6_8), 0.58/1.05 inference(evaluation,[],[f1755])). 0.58/1.05 tff(f1762,plain,( 0.58/1.05 ( ! [X21:$int,X19:list,X22:$int,X20:list] : (inRange(length(X19),X19) | $less(length(X20),2) | $less(X21,3) | ~$less(4,length(X19)) | inRange(X21,cons(X22,X20))) ) | ~spl6_8), 0.58/1.05 inference(evaluation,[],[f1761])). 0.58/1.05 tff(f1764,plain,( 0.58/1.05 spl6_16 <=> ! [X13 : list,X15 : $int] : ($less(length(X13),3) | $less(X15,3) | inRange(X15,X13))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 0.58/1.05 tff(f1767,plain,( 0.58/1.05 spl6_18 <=> ! [X12 : list,X14 : $int] : (inRange(length(X12),X12) | ~$less(4,X14) | ~$less(X14,length(X12)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 0.58/1.05 tff(f1769,plain,( 0.58/1.05 spl6_16 | spl6_18 | ~spl6_8), 0.58/1.05 inference(avatar_split_clause,[],[f1753,f1395,f1767,f1764])). 0.58/1.05 tff(f1771,plain,( 0.58/1.05 spl6_20 <=> ! [X16 : list] : (inRange(length(X16),X16) | ~$less(4,length(X16)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 0.58/1.05 tff(f1773,plain,( 0.58/1.05 spl6_16 | spl6_20 | ~spl6_8), 0.58/1.05 inference(avatar_split_clause,[],[f1754,f1395,f1771,f1764])). 0.58/1.05 tff(f1775,plain,( 0.58/1.05 spl6_22 <=> ! [X20 : list,X22 : $int,X21 : $int] : ($less(length(X20),2) | $less(X21,3) | inRange(X21,cons(X22,X20)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 0.58/1.05 tff(f1777,plain,( 0.58/1.05 spl6_22 | spl6_20 | ~spl6_8), 0.58/1.05 inference(avatar_split_clause,[],[f1762,f1395,f1771,f1775])). 0.58/1.05 tff(f1788,plain,( 0.58/1.05 ( ! [X2:list,X0:$int,X1:$int] : (~$less(X0,-1) | ~$less(0,X0) | in(X1,X2)) )), 0.58/1.05 inference(resolution,[],[f171,f120])). 0.58/1.05 tff(f1812,plain,( 0.58/1.05 spl6_24 <=> ! [X1 : $int,X2 : list] : in(X1,X2)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 0.58/1.05 tff(f1813,plain,( 0.58/1.05 ( ! [X2:list,X1:$int] : (in(X1,X2)) ) | ~spl6_24), 0.58/1.05 inference(avatar_component_clause,[],[f1812])). 0.58/1.05 tff(f1815,plain,( 0.58/1.05 spl6_26 <=> ! [X0 : $int] : (~$less(X0,-1) | ~$less(0,X0))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 0.58/1.05 tff(f1817,plain,( 0.58/1.05 spl6_24 | spl6_26), 0.58/1.05 inference(avatar_split_clause,[],[f1788,f1815,f1812])). 0.58/1.05 tff(f1971,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : ($less($sum(-1,X2),$sum(0,X2)) | in(X0,X1)) )), 0.58/1.05 inference(superposition,[],[f173,f462])). 0.58/1.05 tff(f1988,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : ($less($sum(-1,X2),X2) | in(X0,X1)) )), 0.58/1.05 inference(evaluation,[],[f1971])). 0.58/1.05 tff(f1997,plain,( 0.58/1.05 spl6_28 <=> ! [X2 : $int] : $less($sum(-1,X2),X2)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 0.58/1.05 tff(f1999,plain,( 0.58/1.05 spl6_24 | spl6_28), 0.58/1.05 inference(avatar_split_clause,[],[f1988,f1997,f1812])). 0.58/1.05 tff(f2024,plain,( 0.58/1.05 $false | ~spl6_24), 0.58/1.05 inference(resolution,[],[f1813,f116])). 0.58/1.05 tff(f2030,plain,( 0.58/1.05 ~spl6_24), 0.58/1.05 inference(avatar_contradiction_clause,[],[f2024])). 0.58/1.05 tff(f2043,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : ($less(X2,$sum(1,$sum(0,X2))) | in(X0,X1)) )), 0.58/1.05 inference(superposition,[],[f343,f462])). 0.58/1.05 tff(f2060,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : ($less(X2,$sum(1,X2)) | in(X0,X1)) )), 0.58/1.05 inference(evaluation,[],[f2043])). 0.58/1.05 tff(f2066,plain,( 0.58/1.05 spl6_30 <=> ! [X2 : $int] : $less(X2,$sum(1,X2))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 0.58/1.05 tff(f2068,plain,( 0.58/1.05 spl6_24 | spl6_30), 0.58/1.05 inference(avatar_split_clause,[],[f2060,f2066,f1812])). 0.58/1.05 tff(f2075,plain,( 0.58/1.05 ( ! [X14:$int,X12:list,X15:$int,X13:list] : (nil = X12 | ~inRange(length(X13),X12) | ~$less(4,X14) | inRange(X15,X13) | ~$less(X14,0) | $less(X15,3)) )), 0.58/1.05 inference(resolution,[],[f529,f249])). 0.58/1.05 tff(f2088,plain,( 0.58/1.05 spl6_32 <=> ! [X14 : $int] : (~$less(4,X14) | ~$less(X14,0))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 0.58/1.05 tff(f2089,plain,( 0.58/1.05 ( ! [X14:$int] : (~$less(4,X14) | ~$less(X14,0)) ) | ~spl6_32), 0.58/1.05 inference(avatar_component_clause,[],[f2088])). 0.58/1.05 tff(f2091,plain,( 0.58/1.05 spl6_34 <=> ! [X13 : list,X15 : $int,X12 : list] : (nil = X12 | $less(X15,3) | inRange(X15,X13) | ~inRange(length(X13),X12))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 0.58/1.05 tff(f2093,plain,( 0.58/1.05 spl6_32 | spl6_34), 0.58/1.05 inference(avatar_split_clause,[],[f2075,f2091,f2088])). 0.58/1.05 tff(f2096,plain,( 0.58/1.05 ( ! [X6:$int,X4:$int,X5:list] : (nil = cons(X4,X5) | $less(-1,X6) | $less(length(X5),3) | $less(X6,3)) )), 0.58/1.05 inference(resolution,[],[f540,f129])). 0.58/1.05 tff(f2097,plain,( 0.58/1.05 ( ! [X8:list,X7:$int,X9:$int] : (nil = cons(X7,X8) | $less(-1,X9) | $less(X9,3) | ~$less(2,length(X8))) )), 0.58/1.05 inference(resolution,[],[f540,f131])). 0.58/1.05 tff(f2098,plain,( 0.58/1.05 ( ! [X12:$int,X10:$int,X11:list] : (nil = cons(X10,X11) | $less(-1,X12) | $less(X12,3) | ~$less(3,length(X11))) )), 0.58/1.05 inference(resolution,[],[f540,f300])). 0.58/1.05 tff(f2099,plain,( 0.58/1.05 ( ! [X14:list,X15:$int,X13:$int] : (nil = cons(X13,X14) | $less(-1,X15) | $less(length(X14),4) | $less(X15,3)) )), 0.58/1.05 inference(resolution,[],[f540,f351])). 0.58/1.05 tff(f2100,plain,( 0.58/1.05 ( ! [X17:list,X18:$int,X16:$int] : (nil = cons(X16,X17) | $less(-1,X18) | $less(X18,3) | ~$less(-1,length(X17))) ) | ~spl6_4), 0.58/1.05 inference(resolution,[],[f540,f409])). 0.58/1.05 tff(f2101,plain,( 0.58/1.05 ( ! [X21:$int,X19:$int,X20:list] : (nil = cons(X19,X20) | $less(-1,X21) | $less(length(X20),0) | $less(X21,3)) ) | ~spl6_4), 0.58/1.05 inference(resolution,[],[f540,f430])). 0.58/1.05 tff(f2102,plain,( 0.58/1.05 ( ! [X23:$int,X22:$int] : (nil = cons(X22,nil) | $less(-1,X23) | $less(X23,3)) ) | ~spl6_10), 0.58/1.05 inference(resolution,[],[f540,f1489])). 0.58/1.05 tff(f2105,plain,( 0.58/1.05 ( ! [X6:$int,X5:list] : ($less(-1,X6) | $less(length(X5),3) | $less(X6,3)) )), 0.58/1.05 inference(subsumption_resolution,[],[f2096,f66])). 0.58/1.05 tff(f2107,plain,( 0.58/1.05 spl6_36 <=> ! [X5 : list] : $less(length(X5),3)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 0.58/1.05 tff(f2110,plain,( 0.58/1.05 spl6_38 <=> ! [X6 : $int] : ($less(-1,X6) | $less(X6,3))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 0.58/1.05 tff(f2111,plain,( 0.58/1.05 ( ! [X6:$int] : ($less(-1,X6) | $less(X6,3)) ) | ~spl6_38), 0.58/1.05 inference(avatar_component_clause,[],[f2110])). 0.58/1.05 tff(f2112,plain,( 0.58/1.05 spl6_36 | spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2105,f2110,f2107])). 0.58/1.05 tff(f2113,plain,( 0.58/1.05 ( ! [X8:list,X9:$int] : ($less(-1,X9) | $less(X9,3) | ~$less(2,length(X8))) )), 0.58/1.05 inference(subsumption_resolution,[],[f2097,f66])). 0.58/1.05 tff(f2115,plain,( 0.58/1.05 spl6_40 <=> ! [X8 : list] : ~$less(2,length(X8))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 0.58/1.05 tff(f2116,plain,( 0.58/1.05 ( ! [X8:list] : (~$less(2,length(X8))) ) | ~spl6_40), 0.58/1.05 inference(avatar_component_clause,[],[f2115])). 0.58/1.05 tff(f2117,plain,( 0.58/1.05 spl6_40 | spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2113,f2110,f2115])). 0.58/1.05 tff(f2118,plain,( 0.58/1.05 ( ! [X12:$int,X11:list] : ($less(-1,X12) | $less(X12,3) | ~$less(3,length(X11))) )), 0.58/1.05 inference(subsumption_resolution,[],[f2098,f66])). 0.58/1.05 tff(f2120,plain,( 0.58/1.05 spl6_42 <=> ! [X11 : list] : ~$less(3,length(X11))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 0.58/1.05 tff(f2122,plain,( 0.58/1.05 spl6_42 | spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2118,f2110,f2120])). 0.58/1.05 tff(f2123,plain,( 0.58/1.05 ( ! [X14:list,X15:$int] : ($less(-1,X15) | $less(length(X14),4) | $less(X15,3)) )), 0.58/1.05 inference(subsumption_resolution,[],[f2099,f66])). 0.58/1.05 tff(f2125,plain,( 0.58/1.05 spl6_44 <=> ! [X14 : list] : $less(length(X14),4)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 0.58/1.05 tff(f2127,plain,( 0.58/1.05 spl6_44 | spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2123,f2110,f2125])). 0.58/1.05 tff(f2128,plain,( 0.58/1.05 ( ! [X17:list,X18:$int] : ($less(-1,X18) | $less(X18,3) | ~$less(-1,length(X17))) ) | ~spl6_4), 0.58/1.05 inference(subsumption_resolution,[],[f2100,f66])). 0.58/1.05 tff(f2130,plain,( 0.58/1.05 spl6_46 <=> ! [X17 : list] : ~$less(-1,length(X17))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 0.58/1.05 tff(f2131,plain,( 0.58/1.05 ( ! [X17:list] : (~$less(-1,length(X17))) ) | ~spl6_46), 0.58/1.05 inference(avatar_component_clause,[],[f2130])). 0.58/1.05 tff(f2132,plain,( 0.58/1.05 spl6_46 | spl6_38 | ~spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f2128,f398,f2110,f2130])). 0.58/1.05 tff(f2133,plain,( 0.58/1.05 ( ! [X21:$int,X20:list] : ($less(-1,X21) | $less(length(X20),0) | $less(X21,3)) ) | ~spl6_4), 0.58/1.05 inference(subsumption_resolution,[],[f2101,f66])). 0.58/1.05 tff(f2135,plain,( 0.58/1.05 spl6_48 <=> ! [X20 : list] : $less(length(X20),0)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 0.58/1.05 tff(f2137,plain,( 0.58/1.05 spl6_48 | spl6_38 | ~spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f2133,f398,f2110,f2135])). 0.58/1.05 tff(f2138,plain,( 0.58/1.05 ( ! [X23:$int] : ($less(-1,X23) | $less(X23,3)) ) | ~spl6_10), 0.58/1.05 inference(subsumption_resolution,[],[f2102,f66])). 0.58/1.05 tff(f2152,plain,( 0.58/1.05 ( ! [X10:$int,X8:list,X9:$int] : ($less(length(X8),3) | ~$less(4,X9) | inRange(X10,X8) | $less(X10,3) | $less(-1,X9)) ) | ~spl6_10), 0.58/1.05 inference(resolution,[],[f2138,f248])). 0.58/1.05 tff(f2153,plain,( 0.58/1.05 ( ! [X12:$int,X13:$int,X11:list] : ($less(length(X11),3) | inRange(X12,X11) | $less(X13,4) | ~$less(X13,-1) | $less(X12,3)) ) | ~spl6_10), 0.58/1.05 inference(resolution,[],[f2138,f240])). 0.58/1.05 tff(f2158,plain,( 0.58/1.05 ( ! [X21:$int] : ($less($sum(X21,1),3) | ~$less(X21,-1)) ) | ~spl6_10), 0.58/1.05 inference(resolution,[],[f2138,f28])). 0.58/1.05 tff(f2170,plain,( 0.58/1.05 ( ! [X21:$int] : ($less(X21,$sum(3,-1)) | ~$less(X21,-1)) ) | ~spl6_10), 0.58/1.05 inference(evaluation,[],[f2158])). 0.58/1.05 tff(f2171,plain,( 0.58/1.05 ( ! [X21:$int] : (~$less(X21,-1) | $less(X21,2)) ) | ~spl6_10), 0.58/1.05 inference(evaluation,[],[f2170])). 0.58/1.05 tff(f2174,plain,( 0.58/1.05 spl6_50 <=> ! [X9 : $int] : (~$less(4,X9) | $less(-1,X9))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])). 0.58/1.05 tff(f2176,plain,( 0.58/1.05 spl6_50 | spl6_16 | ~spl6_10), 0.58/1.05 inference(avatar_split_clause,[],[f2152,f1488,f1764,f2174])). 0.58/1.05 tff(f2178,plain,( 0.58/1.05 spl6_52 <=> ! [X13 : $int] : ($less(X13,4) | ~$less(X13,-1))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 0.58/1.05 tff(f2180,plain,( 0.58/1.05 spl6_52 | spl6_16 | ~spl6_10), 0.58/1.05 inference(avatar_split_clause,[],[f2153,f1488,f1764,f2178])). 0.58/1.05 tff(f2182,plain,( 0.58/1.05 spl6_54 <=> ! [X0 : $int] : $less($sum(1,X0),$sum(4,X0))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 0.58/1.05 tff(f2184,plain,( 0.58/1.05 spl6_10 | spl6_54 | ~spl6_0), 0.58/1.05 inference(avatar_split_clause,[],[f1676,f94,f2182,f1488])). 0.58/1.05 tff(f2269,plain,( 0.58/1.05 ( ! [X10:$int,X8:list,X9:$int] : ($less(length(X8),3) | ~$less(4,X9) | inRange(X10,X8) | $less(X10,3) | $less(-1,X9)) ) | ~spl6_38), 0.58/1.05 inference(resolution,[],[f2111,f248])). 0.58/1.05 tff(f2270,plain,( 0.58/1.05 ( ! [X12:$int,X13:$int,X11:list] : ($less(length(X11),3) | inRange(X12,X11) | $less(X13,4) | ~$less(X13,-1) | $less(X12,3)) ) | ~spl6_38), 0.58/1.05 inference(resolution,[],[f2111,f240])). 0.58/1.05 tff(f2275,plain,( 0.58/1.05 ( ! [X21:$int] : ($less($sum(X21,1),3) | ~$less(X21,-1)) ) | ~spl6_38), 0.58/1.05 inference(resolution,[],[f2111,f28])). 0.58/1.05 tff(f2287,plain,( 0.58/1.05 ( ! [X21:$int] : ($less(X21,$sum(3,-1)) | ~$less(X21,-1)) ) | ~spl6_38), 0.58/1.05 inference(evaluation,[],[f2275])). 0.58/1.05 tff(f2288,plain,( 0.58/1.05 ( ! [X21:$int] : (~$less(X21,-1) | $less(X21,2)) ) | ~spl6_38), 0.58/1.05 inference(evaluation,[],[f2287])). 0.58/1.05 tff(f2383,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : (~$less($sum(1,0),X2) | $less(0,X2) | in(X0,X1)) )), 0.58/1.05 inference(superposition,[],[f380,f462])). 0.58/1.05 tff(f2398,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : (~$less(1,X2) | $less(0,X2) | in(X0,X1)) )), 0.58/1.05 inference(evaluation,[],[f2383])). 0.58/1.05 tff(f2410,plain,( 0.58/1.05 spl6_56 <=> ! [X2 : $int] : (~$less(1,X2) | $less(0,X2))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 0.58/1.05 tff(f2412,plain,( 0.58/1.05 spl6_24 | spl6_56), 0.58/1.05 inference(avatar_split_clause,[],[f2398,f2410,f1812])). 0.58/1.05 tff(f2418,plain,( 0.58/1.05 ( ! [X8:$int,X7:list,X9:$int] : ($less(length(X7),2) | ~$less(4,X8) | inRange(X9,X7) | ~$less(X8,-1) | $less(X9,3)) ) | ~spl6_10), 0.58/1.05 inference(resolution,[],[f2171,f249])). 0.58/1.05 tff(f2430,plain,( 0.58/1.05 spl6_58 <=> ! [X8 : $int] : (~$less(4,X8) | ~$less(X8,-1))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])). 0.58/1.05 tff(f2433,plain,( 0.58/1.05 spl6_60 <=> ! [X9 : $int,X7 : list] : ($less(length(X7),2) | $less(X9,3) | inRange(X9,X7))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 0.58/1.05 tff(f2435,plain,( 0.58/1.05 spl6_58 | spl6_60 | ~spl6_10), 0.58/1.05 inference(avatar_split_clause,[],[f2418,f1488,f2433,f2430])). 0.58/1.05 tff(f2436,plain,( 0.58/1.05 spl6_50 | spl6_16 | ~spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2269,f2110,f1764,f2174])). 0.58/1.05 tff(f2437,plain,( 0.58/1.05 spl6_52 | spl6_16 | ~spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2270,f2110,f1764,f2178])). 0.58/1.05 tff(f2583,plain,( 0.58/1.05 ( ! [X30:$int,X28:list,X26:$int,X29:$int,X27:list] : (in(X26,X27) | $less(length(X28),1) | ~$less(4,X29) | inRange(X30,X28) | ~$less(X29,count(X26,X27)) | $less(X30,3)) )), 0.58/1.05 inference(resolution,[],[f317,f249])). 0.58/1.05 tff(f2584,plain,( 0.58/1.05 ( ! [X33:list,X31:$int,X34:$int,X32:list] : (in(X31,X32) | $less(length(X33),1) | $less(X34,3) | ~$less(4,count(X31,X32)) | inRange(X34,X33)) )), 0.58/1.05 inference(resolution,[],[f317,f99])). 0.58/1.05 tff(f2586,plain,( 0.58/1.05 ( ! [X39:list,X37:$int,X41:$int,X38:list,X40:$int] : (in(X37,X38) | $less($sum(1,length(X39)),1) | $less(X40,3) | ~$less(4,count(X37,X38)) | inRange(X40,cons(X41,X39))) )), 0.58/1.05 inference(resolution,[],[f317,f256])). 0.58/1.05 tff(f2606,plain,( 0.58/1.05 ( ! [X39:list,X37:$int,X41:$int,X38:list,X40:$int] : (in(X37,X38) | $less(length(X39),$sum(1,-1)) | $less(X40,3) | ~$less(4,count(X37,X38)) | inRange(X40,cons(X41,X39))) )), 0.58/1.05 inference(evaluation,[],[f2586])). 0.58/1.05 tff(f2607,plain,( 0.58/1.05 ( ! [X39:list,X37:$int,X41:$int,X38:list,X40:$int] : (in(X37,X38) | $less(length(X39),0) | $less(X40,3) | ~$less(4,count(X37,X38)) | inRange(X40,cons(X41,X39))) )), 0.58/1.05 inference(evaluation,[],[f2606])). 0.58/1.05 tff(f2643,plain,( 0.58/1.05 ( ! [X37:$int,X38:list,X36:list] : (~$less(1,length(X36)) | in(X37,X38) | inRange(length(X36),X36) | $less(count(X37,X38),3)) ) | ~spl6_8), 0.58/1.05 inference(resolution,[],[f318,f1453])). 0.58/1.05 tff(f2644,plain,( 0.58/1.05 ( ! [X39:list,X43:$int,X41:list,X42:$int,X40:$int] : (~$less(1,length(X39)) | in(X40,X41) | ~$less(4,X42) | inRange(X43,X39) | $less(X43,3) | $less(count(X40,X41),X42)) )), 0.58/1.05 inference(resolution,[],[f318,f248])). 0.58/1.05 tff(f2645,plain,( 0.58/1.05 ( ! [X47:$int,X45:$int,X48:$int,X46:list,X44:list] : (~$less(1,length(X44)) | in(X45,X46) | inRange(X47,X44) | $less(X48,4) | ~$less(X48,count(X45,X46)) | $less(X47,3)) )), 0.58/1.05 inference(resolution,[],[f318,f240])). 0.58/1.05 tff(f2646,plain,( 0.58/1.05 ( ! [X52:$int,X50:$int,X51:list,X49:list] : (~$less(1,length(X49)) | in(X50,X51) | inRange(X52,X49) | ~$less(3,count(X50,X51)) | $less(X52,3)) )), 0.58/1.05 inference(resolution,[],[f318,f105])). 0.58/1.05 tff(f2655,plain,( 0.58/1.05 ( ! [X83:list,X81:list,X84:$int,X82:$int] : (~$less(1,$sum(1,length(X81))) | in(X82,X83) | $less(X84,3) | ~$less(4,count(X82,X83)) | inRange(X84,X81)) )), 0.58/1.05 inference(resolution,[],[f318,f259])). 0.58/1.05 tff(f2669,plain,( 0.58/1.05 ( ! [X83:list,X81:list,X84:$int,X82:$int] : (~$less($sum(1,-1),length(X81)) | in(X82,X83) | $less(X84,3) | ~$less(4,count(X82,X83)) | inRange(X84,X81)) )), 0.58/1.05 inference(evaluation,[],[f2655])). 0.58/1.05 tff(f2670,plain,( 0.58/1.05 ( ! [X83:list,X81:list,X84:$int,X82:$int] : (~$less(0,length(X81)) | in(X82,X83) | $less(X84,3) | ~$less(4,count(X82,X83)) | inRange(X84,X81)) )), 0.58/1.05 inference(evaluation,[],[f2669])). 0.58/1.05 tff(f2680,plain,( 0.58/1.05 spl6_62 <=> ! [X38 : list,X37 : $int] : (in(X37,X38) | $less(count(X37,X38),3))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 0.58/1.05 tff(f2683,plain,( 0.58/1.05 spl6_64 <=> ! [X36 : list] : (~$less(1,length(X36)) | inRange(length(X36),X36))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 0.58/1.05 tff(f2685,plain,( 0.58/1.05 spl6_62 | spl6_64 | ~spl6_8), 0.58/1.05 inference(avatar_split_clause,[],[f2643,f1395,f2683,f2680])). 0.58/1.05 tff(f2687,plain,( 0.58/1.05 spl6_66 <=> ! [X40 : $int,X42 : $int,X41 : list] : (in(X40,X41) | $less(count(X40,X41),X42) | ~$less(4,X42))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_66])])). 0.58/1.05 tff(f2690,plain,( 0.58/1.05 spl6_68 <=> ! [X43 : $int,X39 : list] : (~$less(1,length(X39)) | $less(X43,3) | inRange(X43,X39))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 0.58/1.05 tff(f2692,plain,( 0.58/1.05 spl6_66 | spl6_68), 0.58/1.05 inference(avatar_split_clause,[],[f2644,f2690,f2687])). 0.58/1.05 tff(f2694,plain,( 0.58/1.05 spl6_70 <=> ! [X46 : list,X48 : $int,X45 : $int] : (in(X45,X46) | ~$less(X48,count(X45,X46)) | $less(X48,4))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 0.58/1.05 tff(f2696,plain,( 0.58/1.05 spl6_70 | spl6_68), 0.58/1.05 inference(avatar_split_clause,[],[f2645,f2690,f2694])). 0.58/1.05 tff(f2698,plain,( 0.58/1.05 spl6_72 <=> ! [X51 : list,X50 : $int] : (in(X50,X51) | ~$less(3,count(X50,X51)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 0.58/1.05 tff(f2700,plain,( 0.58/1.05 spl6_72 | spl6_68), 0.58/1.05 inference(avatar_split_clause,[],[f2646,f2690,f2698])). 0.58/1.05 tff(f2924,plain,( 0.58/1.05 ( ! [X10:$int,X8:list,X9:$int] : ($less(length(X8),2) | ~$less(4,X9) | inRange(X10,X8) | ~$less(X9,-1) | $less(X10,3)) ) | ~spl6_38), 0.58/1.05 inference(resolution,[],[f2288,f249])). 0.58/1.05 tff(f2936,plain,( 0.58/1.05 spl6_58 | spl6_60 | ~spl6_38), 0.58/1.05 inference(avatar_split_clause,[],[f2924,f2110,f2433,f2430])). 0.58/1.05 tff(f2985,plain,( 0.58/1.05 ( ! [X24:$int,X23:$int,X21:list,X22:list,X20:$int] : (~$less(X20,length(X21)) | nil = X22 | ~inRange(X20,X22) | ~$less(4,X23) | inRange(X24,X21) | ~$less(X23,0) | $less(X24,3)) )), 0.58/1.05 inference(resolution,[],[f555,f249])). 0.58/1.05 tff(f2999,plain,( 0.58/1.05 spl6_74 <=> ! [X20 : $int,X22 : list,X21 : list,X24 : $int] : (~$less(X20,length(X21)) | $less(X24,3) | inRange(X24,X21) | ~inRange(X20,X22) | nil = X22)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 0.58/1.05 tff(f3001,plain,( 0.58/1.05 spl6_32 | spl6_74), 0.58/1.05 inference(avatar_split_clause,[],[f2985,f2999,f2088])). 0.58/1.05 tff(f3078,plain,( 0.58/1.05 ( ! [X6:list,X4:$int,X5:$int] : (~$less(X4,head(cons(X5,X6))) | nil = cons(X5,X6) | $less(length(X6),3) | $less($sum(X4,1),3)) )), 0.58/1.05 inference(resolution,[],[f651,f129])). 0.58/1.05 tff(f3079,plain,( 0.58/1.05 ( ! [X8:$int,X7:$int,X9:list] : (~$less(X7,head(cons(X8,X9))) | nil = cons(X8,X9) | $less($sum(X7,1),3) | ~$less(2,length(X9))) )), 0.58/1.05 inference(resolution,[],[f651,f131])). 0.58/1.05 tff(f3080,plain,( 0.58/1.05 ( ! [X12:list,X10:$int,X11:$int] : (~$less(X10,head(cons(X11,X12))) | nil = cons(X11,X12) | $less($sum(X10,1),3) | ~$less(3,length(X12))) )), 0.58/1.05 inference(resolution,[],[f651,f300])). 0.58/1.05 tff(f3081,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : (~$less(X13,head(cons(X14,X15))) | nil = cons(X14,X15) | $less(length(X15),4) | $less($sum(X13,1),3)) )), 0.58/1.05 inference(resolution,[],[f651,f351])). 0.58/1.05 tff(f3082,plain,( 0.58/1.05 ( ! [X17:$int,X18:list,X16:$int] : (~$less(X16,head(cons(X17,X18))) | nil = cons(X17,X18) | $less($sum(X16,1),3) | ~$less(-1,length(X18))) ) | ~spl6_4), 0.58/1.05 inference(resolution,[],[f651,f409])). 0.58/1.05 tff(f3083,plain,( 0.58/1.05 ( ! [X21:list,X19:$int,X20:$int] : (~$less(X19,head(cons(X20,X21))) | nil = cons(X20,X21) | $less(length(X21),0) | $less($sum(X19,1),3)) ) | ~spl6_4), 0.58/1.05 inference(resolution,[],[f651,f430])). 0.58/1.05 tff(f3089,plain,( 0.58/1.05 ( ! [X21:list,X19:$int,X20:$int] : (~$less(X19,head(cons(X20,X21))) | nil = cons(X20,X21) | $less(length(X21),0) | $less(X19,$sum(3,-1))) ) | ~spl6_4), 0.58/1.05 inference(evaluation,[],[f3083])). 0.58/1.05 tff(f3090,plain,( 0.58/1.05 ( ! [X21:list,X19:$int,X20:$int] : (~$less(X19,head(cons(X20,X21))) | nil = cons(X20,X21) | $less(length(X21),0) | $less(X19,2)) ) | ~spl6_4), 0.58/1.05 inference(evaluation,[],[f3089])). 0.58/1.05 tff(f3091,plain,( 0.58/1.05 ( ! [X17:$int,X18:list,X16:$int] : (~$less(X16,head(cons(X17,X18))) | nil = cons(X17,X18) | $less(X16,$sum(3,-1)) | ~$less(-1,length(X18))) ) | ~spl6_4), 0.58/1.05 inference(evaluation,[],[f3082])). 0.58/1.05 tff(f3092,plain,( 0.58/1.05 ( ! [X17:$int,X18:list,X16:$int] : (~$less(X16,head(cons(X17,X18))) | nil = cons(X17,X18) | $less(X16,2) | ~$less(-1,length(X18))) ) | ~spl6_4), 0.58/1.05 inference(evaluation,[],[f3091])). 0.58/1.05 tff(f3093,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : (~$less(X13,head(cons(X14,X15))) | nil = cons(X14,X15) | $less(length(X15),4) | $less(X13,$sum(3,-1))) )), 0.58/1.05 inference(evaluation,[],[f3081])). 0.58/1.05 tff(f3094,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : (~$less(X13,head(cons(X14,X15))) | nil = cons(X14,X15) | $less(length(X15),4) | $less(X13,2)) )), 0.58/1.05 inference(evaluation,[],[f3093])). 0.58/1.05 tff(f3095,plain,( 0.58/1.05 ( ! [X12:list,X10:$int,X11:$int] : (~$less(X10,head(cons(X11,X12))) | nil = cons(X11,X12) | $less(X10,$sum(3,-1)) | ~$less(3,length(X12))) )), 0.58/1.05 inference(evaluation,[],[f3080])). 0.58/1.05 tff(f3096,plain,( 0.58/1.05 ( ! [X12:list,X10:$int,X11:$int] : (~$less(X10,head(cons(X11,X12))) | nil = cons(X11,X12) | $less(X10,2) | ~$less(3,length(X12))) )), 0.58/1.05 inference(evaluation,[],[f3095])). 0.58/1.05 tff(f3097,plain,( 0.58/1.05 ( ! [X8:$int,X7:$int,X9:list] : (~$less(X7,head(cons(X8,X9))) | nil = cons(X8,X9) | $less(X7,$sum(3,-1)) | ~$less(2,length(X9))) )), 0.58/1.05 inference(evaluation,[],[f3079])). 0.58/1.05 tff(f3098,plain,( 0.58/1.05 ( ! [X8:$int,X7:$int,X9:list] : (~$less(X7,head(cons(X8,X9))) | nil = cons(X8,X9) | $less(X7,2) | ~$less(2,length(X9))) )), 0.58/1.05 inference(evaluation,[],[f3097])). 0.58/1.05 tff(f3099,plain,( 0.58/1.05 ( ! [X6:list,X4:$int,X5:$int] : (~$less(X4,head(cons(X5,X6))) | nil = cons(X5,X6) | $less(length(X6),3) | $less(X4,$sum(3,-1))) )), 0.58/1.05 inference(evaluation,[],[f3078])). 0.58/1.05 tff(f3100,plain,( 0.58/1.05 ( ! [X6:list,X4:$int,X5:$int] : (~$less(X4,head(cons(X5,X6))) | nil = cons(X5,X6) | $less(length(X6),3) | $less(X4,2)) )), 0.58/1.05 inference(evaluation,[],[f3099])). 0.58/1.05 tff(f3108,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(2,$sum(1,length(X1)))) ) | ~spl6_40), 0.58/1.05 inference(superposition,[],[f2116,f69])). 0.58/1.05 tff(f3109,plain,( 0.58/1.05 ( ! [X1:list] : (~$less($sum(2,-1),length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f3108])). 0.58/1.05 tff(f3110,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(1,length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f3109])). 0.58/1.05 tff(f3285,plain,( 0.58/1.05 ~$less(-1,0) | (~spl6_0 | ~spl6_46)), 0.58/1.05 inference(superposition,[],[f2131,f95])). 0.58/1.05 tff(f3289,plain,( 0.58/1.05 $false | (~spl6_0 | ~spl6_46)), 0.58/1.05 inference(evaluation,[],[f3285])). 0.58/1.05 tff(f3290,plain,( 0.58/1.05 ~spl6_0 | ~spl6_46), 0.58/1.05 inference(avatar_contradiction_clause,[],[f3289])). 0.58/1.05 tff(f3309,plain,( 0.58/1.05 ( ! [X6:list,X4:$int,X5:$int] : (~$less(X4,head(cons(X5,X6))) | $less(length(X6),3) | $less(X4,2)) )), 0.58/1.05 inference(subsumption_resolution,[],[f3100,f66])). 0.58/1.05 tff(f3310,plain,( 0.58/1.05 ( ! [X6:list,X4:$int,X5:$int] : (~$less(X4,X5) | $less(length(X6),3) | $less(X4,2)) )), 0.58/1.05 inference(forward_demodulation,[],[f3309,f67])). 0.58/1.05 tff(f3312,plain,( 0.58/1.05 spl6_76 <=> ! [X5 : $int,X4 : $int] : (~$less(X4,X5) | $less(X4,2))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 0.58/1.05 tff(f3313,plain,( 0.58/1.05 ( ! [X4:$int,X5:$int] : (~$less(X4,X5) | $less(X4,2)) ) | ~spl6_76), 0.58/1.05 inference(avatar_component_clause,[],[f3312])). 0.58/1.05 tff(f3314,plain,( 0.58/1.05 spl6_36 | spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f3310,f3312,f2107])). 0.58/1.05 tff(f3316,plain,( 0.58/1.05 ( ! [X8:$int,X7:$int,X9:list] : (~$less(X7,head(cons(X8,X9))) | $less(X7,2) | ~$less(2,length(X9))) )), 0.58/1.05 inference(subsumption_resolution,[],[f3098,f66])). 0.58/1.05 tff(f3317,plain,( 0.58/1.05 ( ! [X8:$int,X7:$int,X9:list] : (~$less(X7,X8) | $less(X7,2) | ~$less(2,length(X9))) )), 0.58/1.05 inference(forward_demodulation,[],[f3316,f67])). 0.58/1.05 tff(f3318,plain,( 0.58/1.05 spl6_40 | spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f3317,f3312,f2115])). 0.58/1.05 tff(f3319,plain,( 0.58/1.05 ( ! [X12:list,X10:$int,X11:$int] : (~$less(X10,head(cons(X11,X12))) | $less(X10,2) | ~$less(3,length(X12))) )), 0.58/1.05 inference(subsumption_resolution,[],[f3096,f66])). 0.58/1.05 tff(f3320,plain,( 0.58/1.05 ( ! [X12:list,X10:$int,X11:$int] : (~$less(X10,X11) | $less(X10,2) | ~$less(3,length(X12))) )), 0.58/1.05 inference(forward_demodulation,[],[f3319,f67])). 0.58/1.05 tff(f3321,plain,( 0.58/1.05 spl6_42 | spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f3320,f3312,f2120])). 0.58/1.05 tff(f3322,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : (~$less(X13,head(cons(X14,X15))) | $less(length(X15),4) | $less(X13,2)) )), 0.58/1.05 inference(subsumption_resolution,[],[f3094,f66])). 0.58/1.05 tff(f3323,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : (~$less(X13,X14) | $less(length(X15),4) | $less(X13,2)) )), 0.58/1.05 inference(forward_demodulation,[],[f3322,f67])). 0.58/1.05 tff(f3324,plain,( 0.58/1.05 spl6_44 | spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f3323,f3312,f2125])). 0.58/1.05 tff(f3325,plain,( 0.58/1.05 ( ! [X17:$int,X18:list,X16:$int] : (~$less(X16,head(cons(X17,X18))) | $less(X16,2) | ~$less(-1,length(X18))) ) | ~spl6_4), 0.58/1.05 inference(subsumption_resolution,[],[f3092,f66])). 0.58/1.05 tff(f3326,plain,( 0.58/1.05 ( ! [X17:$int,X18:list,X16:$int] : (~$less(X16,X17) | $less(X16,2) | ~$less(-1,length(X18))) ) | ~spl6_4), 0.58/1.05 inference(forward_demodulation,[],[f3325,f67])). 0.58/1.05 tff(f3327,plain,( 0.58/1.05 spl6_46 | spl6_76 | ~spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f3326,f398,f3312,f2130])). 0.58/1.05 tff(f3328,plain,( 0.58/1.05 ( ! [X21:list,X19:$int,X20:$int] : (~$less(X19,head(cons(X20,X21))) | $less(length(X21),0) | $less(X19,2)) ) | ~spl6_4), 0.58/1.05 inference(subsumption_resolution,[],[f3090,f66])). 0.58/1.05 tff(f3329,plain,( 0.58/1.05 ( ! [X21:list,X19:$int,X20:$int] : (~$less(X19,X20) | $less(length(X21),0) | $less(X19,2)) ) | ~spl6_4), 0.58/1.05 inference(forward_demodulation,[],[f3328,f67])). 0.58/1.05 tff(f3330,plain,( 0.58/1.05 spl6_48 | spl6_76 | ~spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f3329,f398,f3312,f2135])). 0.58/1.05 tff(f3345,plain,( 0.58/1.05 spl6_2 | spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f2670,f398,f395])). 0.58/1.05 tff(f3347,plain,( 0.58/1.05 spl6_78 <=> ! [X40 : $int,X41 : $int,X39 : list] : ($less(length(X39),0) | $less(X40,3) | inRange(X40,cons(X41,X39)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 0.58/1.05 tff(f3349,plain,( 0.58/1.05 spl6_78 | spl6_2), 0.58/1.05 inference(avatar_split_clause,[],[f2607,f395,f3347])). 0.58/1.05 tff(f3351,plain,( 0.58/1.05 spl6_80 <=> ! [X34 : $int,X33 : list] : ($less(length(X33),1) | $less(X34,3) | inRange(X34,X33))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 0.58/1.05 tff(f3353,plain,( 0.58/1.05 spl6_80 | spl6_2), 0.58/1.05 inference(avatar_split_clause,[],[f2584,f395,f3351])). 0.58/1.05 tff(f3355,plain,( 0.58/1.05 spl6_82 <=> ! [X27 : list,X29 : $int,X26 : $int] : (in(X26,X27) | ~$less(X29,count(X26,X27)) | ~$less(4,X29))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 0.58/1.05 tff(f3357,plain,( 0.58/1.05 spl6_80 | spl6_82), 0.58/1.05 inference(avatar_split_clause,[],[f2583,f3355,f3351])). 0.58/1.05 tff(f3359,plain,( 0.58/1.05 spl6_84 <=> ! [X44 : $int,X48 : list,X47 : $int] : ($less(X44,3) | ~$less(-1,length(X48)) | inRange(X44,cons(X47,X48)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 0.58/1.05 tff(f3361,plain,( 0.58/1.05 spl6_2 | spl6_84), 0.58/1.05 inference(avatar_split_clause,[],[f1566,f3359,f395])). 0.58/1.05 tff(f3362,plain,( 0.58/1.05 spl6_4 | spl6_82), 0.58/1.05 inference(avatar_split_clause,[],[f1379,f3355,f398])). 0.58/1.05 tff(f3478,plain,( 0.58/1.05 ( ! [X6:$int,X8:$int,X7:list] : (in(X6,X7) | ~$less(0,X8) | $less(-1,$sum(X8,1))) )), 0.58/1.05 inference(resolution,[],[f385,f172])). 0.58/1.05 tff(f3504,plain,( 0.58/1.05 ( ! [X6:$int,X8:$int,X7:list] : (in(X6,X7) | ~$less(0,X8) | $less($sum(-1,-1),X8)) )), 0.58/1.05 inference(evaluation,[],[f3478])). 0.58/1.05 tff(f3505,plain,( 0.58/1.05 ( ! [X6:$int,X8:$int,X7:list] : (in(X6,X7) | ~$less(0,X8) | $less(-2,X8)) )), 0.58/1.05 inference(evaluation,[],[f3504])). 0.58/1.05 tff(f3507,plain,( 0.58/1.05 spl6_86 <=> ! [X8 : $int] : (~$less(0,X8) | $less(-2,X8))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])). 0.58/1.05 tff(f3509,plain,( 0.58/1.05 spl6_86 | spl6_24), 0.58/1.05 inference(avatar_split_clause,[],[f3505,f1812,f3507])). 0.58/1.05 tff(f3539,plain,( 0.58/1.05 ( ! [X14:list,X13:$int] : (~$less($sum(1,$sum(count(X13,X14),4)),0)) ) | ~spl6_32), 0.58/1.05 inference(resolution,[],[f2089,f343])). 0.58/1.05 tff(f3545,plain,( 0.58/1.05 ( ! [X14:list,X13:$int] : (~$less(count(X13,X14),$sum($uminus(1),-4))) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3539])). 0.58/1.05 tff(f3546,plain,( 0.58/1.05 ( ! [X14:list,X13:$int] : (~$less(count(X13,X14),$sum(-1,-4))) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3545])). 0.58/1.05 tff(f3547,plain,( 0.58/1.05 ( ! [X14:list,X13:$int] : (~$less(count(X13,X14),-5)) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3546])). 0.58/1.05 tff(f3662,plain,( 0.58/1.05 ( ! [X4:list,X3:$int] : (~$less($sum(1,count(X3,X4)),-5)) ) | ~spl6_32), 0.58/1.05 inference(superposition,[],[f3547,f97])). 0.58/1.05 tff(f3669,plain,( 0.58/1.05 ( ! [X4:list,X3:$int] : (~$less(count(X3,X4),$sum(-5,-1))) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3662])). 0.58/1.05 tff(f3670,plain,( 0.58/1.05 ( ! [X4:list,X3:$int] : (~$less(count(X3,X4),-6)) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3669])). 0.58/1.05 tff(f3697,plain,( 0.58/1.05 ( ! [X10:list,X9:$int] : ($less(-6,$sum(count(X9,X10),1))) ) | ~spl6_32), 0.58/1.05 inference(resolution,[],[f3670,f26])). 0.58/1.05 tff(f3709,plain,( 0.58/1.05 ( ! [X10:list,X9:$int] : ($less($sum(-6,-1),count(X9,X10))) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3697])). 0.58/1.05 tff(f3710,plain,( 0.58/1.05 ( ! [X10:list,X9:$int] : ($less(-7,count(X9,X10))) ) | ~spl6_32), 0.58/1.05 inference(evaluation,[],[f3709])). 0.58/1.05 tff(f3730,plain,( 0.58/1.05 ( ! [X83:$int,X81:$int,X82:list] : (~in(X81,X82) | ~$less(4,X83) | ~$less(X83,0) | ~$less(count(X81,X82),3)) ) | ~spl6_6), 0.58/1.05 inference(resolution,[],[f357,f1393])). 0.58/1.05 tff(f3731,plain,( 0.58/1.05 ( ! [X85:list,X86:$int,X84:$int] : (~in(X84,X85) | ~$less(4,X86) | ~$less(X86,0) | $less(1,count(X84,X85))) ) | ~spl6_14), 0.58/1.05 inference(resolution,[],[f357,f1579])). 0.58/1.05 tff(f3826,plain,( 0.58/1.05 ( ! [X94:$int,X95:list,X96:$int] : (in(X94,X95) | ~$less(X96,-2) | ~$less(0,X96)) )), 0.58/1.05 inference(resolution,[],[f382,f179])). 0.58/1.05 tff(f3827,plain,( 0.58/1.05 ( ! [X99:$int,X97:$int,X98:list] : (in(X97,X98) | ~$less(X99,-3) | ~$less(0,X99)) )), 0.58/1.05 inference(resolution,[],[f382,f238])). 0.58/1.05 tff(f3828,plain,( 0.58/1.05 ( ! [X101:list,X102:$int,X100:$int] : (in(X100,X101) | ~$less(X102,-4) | ~$less(0,X102)) )), 0.58/1.05 inference(resolution,[],[f382,f822])). 0.58/1.05 tff(f3829,plain,( 0.58/1.05 ( ! [X103:$int,X105:$int,X104:list] : (in(X103,X104) | ~$less(X105,-5) | ~$less(0,X105)) )), 0.58/1.05 inference(resolution,[],[f382,f993])). 0.58/1.05 tff(f3842,plain,( 0.58/1.05 spl6_88 <=> ! [X96 : $int] : (~$less(X96,-2) | ~$less(0,X96))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 0.58/1.05 tff(f3844,plain,( 0.58/1.05 spl6_88 | spl6_24), 0.58/1.05 inference(avatar_split_clause,[],[f3826,f1812,f3842])). 0.58/1.05 tff(f3846,plain,( 0.58/1.05 spl6_90 <=> ! [X99 : $int] : (~$less(X99,-3) | ~$less(0,X99))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 0.58/1.05 tff(f3848,plain,( 0.58/1.05 spl6_90 | spl6_24), 0.58/1.05 inference(avatar_split_clause,[],[f3827,f1812,f3846])). 0.58/1.05 tff(f3850,plain,( 0.58/1.05 spl6_92 <=> ! [X102 : $int] : (~$less(X102,-4) | ~$less(0,X102))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 0.58/1.05 tff(f3852,plain,( 0.58/1.05 spl6_92 | spl6_24), 0.58/1.05 inference(avatar_split_clause,[],[f3828,f1812,f3850])). 0.58/1.05 tff(f3854,plain,( 0.58/1.05 spl6_94 <=> ! [X105 : $int] : (~$less(X105,-5) | ~$less(0,X105))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 0.58/1.05 tff(f3856,plain,( 0.58/1.05 spl6_94 | spl6_24), 0.58/1.05 inference(avatar_split_clause,[],[f3829,f1812,f3854])). 0.58/1.05 tff(f3998,plain,( 0.58/1.05 ( ! [X2:$int,X0:$int,X1:list] : (in(X0,X1) | ~$less(X2,-7) | ~$less(0,X2)) ) | ~spl6_32), 0.58/1.05 inference(resolution,[],[f3710,f382])). 0.58/1.05 tff(f4018,plain,( 0.58/1.05 spl6_96 <=> ! [X2 : $int] : (~$less(X2,-7) | ~$less(0,X2))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 0.58/1.05 tff(f4020,plain,( 0.58/1.05 spl6_96 | spl6_24 | ~spl6_32), 0.58/1.05 inference(avatar_split_clause,[],[f3998,f2088,f1812,f4018])). 0.58/1.05 tff(f4022,plain,( 0.58/1.05 spl6_98 <=> ! [X84 : $int,X85 : list] : (~in(X84,X85) | $less(1,count(X84,X85)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 0.58/1.05 tff(f4024,plain,( 0.58/1.05 spl6_32 | spl6_98 | ~spl6_14), 0.58/1.05 inference(avatar_split_clause,[],[f3731,f1578,f4022,f2088])). 0.58/1.05 tff(f4026,plain,( 0.58/1.05 spl6_100 <=> ! [X82 : list,X81 : $int] : (~in(X81,X82) | ~$less(count(X81,X82),3))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 0.58/1.05 tff(f4028,plain,( 0.58/1.05 spl6_32 | spl6_100 | ~spl6_6), 0.58/1.05 inference(avatar_split_clause,[],[f3730,f1392,f4026,f2088])). 0.58/1.05 tff(f4345,plain,( 0.58/1.05 ( ! [X14:$int,X15:list,X13:$int] : ($less(X13,2) | $less(-1,X13) | ~in(X14,X15)) ) | ~spl6_76), 0.58/1.05 inference(resolution,[],[f3313,f378])). 0.58/1.05 tff(f4348,plain,( 0.58/1.05 ( ! [X21:$int,X22:list,X20:$int] : ($less(X20,2) | ~in(X21,X22)) ) | ~spl6_76), 0.58/1.05 inference(resolution,[],[f3313,f336])). 0.58/1.05 tff(f4350,plain,( 0.58/1.05 ( ! [X26:$int,X27:list,X25:$int] : ($less(X25,2) | ~in(X26,X27)) ) | ~spl6_76), 0.58/1.05 inference(resolution,[],[f3313,f118])). 0.58/1.05 tff(f4352,plain,( 0.58/1.05 ( ! [X32:$int] : ($less(X32,2)) ) | ~spl6_76), 0.58/1.05 inference(resolution,[],[f3313,f343])). 0.58/1.05 tff(f4389,plain,( 0.58/1.05 ( ! [X134:$int,X132:$int,X133:$int,X131:list] : ($less($sum(1,length(X131)),2) | $less(X132,3) | ~$less(4,X133) | inRange(X132,cons(X134,X131))) ) | ~spl6_76), 0.58/1.05 inference(resolution,[],[f3313,f256])). 0.58/1.05 tff(f4419,plain,( 0.58/1.05 ( ! [X134:$int,X132:$int,X133:$int,X131:list] : ($less(length(X131),$sum(2,-1)) | $less(X132,3) | ~$less(4,X133) | inRange(X132,cons(X134,X131))) ) | ~spl6_76), 0.58/1.05 inference(evaluation,[],[f4389])). 0.58/1.05 tff(f4420,plain,( 0.58/1.05 ( ! [X134:$int,X132:$int,X133:$int,X131:list] : ($less(length(X131),1) | $less(X132,3) | ~$less(4,X133) | inRange(X132,cons(X134,X131))) ) | ~spl6_76), 0.58/1.05 inference(evaluation,[],[f4419])). 0.58/1.05 tff(f4422,plain,( 0.58/1.05 spl6_102 <=> ! [X15 : list,X14 : $int] : ~in(X14,X15)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 0.58/1.05 tff(f4425,plain,( 0.58/1.05 spl6_104 <=> ! [X13 : $int] : ($less(X13,2) | $less(-1,X13))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 0.58/1.05 tff(f4427,plain,( 0.58/1.05 spl6_102 | spl6_104 | ~spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f4345,f3312,f4425,f4422])). 0.58/1.05 tff(f4429,plain,( 0.58/1.05 spl6_106 <=> ! [X20 : $int] : $less(X20,2)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 0.58/1.05 tff(f4431,plain,( 0.58/1.05 spl6_102 | spl6_106 | ~spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f4348,f3312,f4429,f4422])). 0.58/1.05 tff(f4432,plain,( 0.58/1.05 spl6_102 | spl6_106 | ~spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f4350,f3312,f4429,f4422])). 0.58/1.05 tff(f4434,plain,( 0.58/1.05 spl6_108 <=> ! [X133 : $int] : ~$less(4,X133)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 0.58/1.05 tff(f4437,plain,( 0.58/1.05 spl6_110 <=> ! [X131 : list,X132 : $int,X134 : $int] : ($less(length(X131),1) | $less(X132,3) | inRange(X132,cons(X134,X131)))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 0.58/1.05 tff(f4439,plain,( 0.58/1.05 spl6_108 | spl6_110 | ~spl6_76), 0.58/1.05 inference(avatar_split_clause,[],[f4420,f3312,f4437,f4434])). 0.58/1.05 tff(f4785,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(1,$sum(1,length(X1)))) ) | ~spl6_40), 0.58/1.05 inference(superposition,[],[f3110,f69])). 0.58/1.05 tff(f4786,plain,( 0.58/1.05 ( ! [X1:list] : (~$less($sum(1,-1),length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f4785])). 0.58/1.05 tff(f4787,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(0,length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f4786])). 0.58/1.05 tff(f4957,plain,( 0.58/1.05 ( ! [X10:list,X11:$int] : ($less($sum(0,X11),$sum(X11,1)) | ~inRange(1,X10) | nil = X10 | nil = X10 | ~inRange(1,X10)) )), 0.58/1.05 inference(superposition,[],[f625,f717])). 0.58/1.05 tff(f4981,plain,( 0.58/1.05 ( ! [X10:list,X11:$int] : ($less($sum(0,X11),$sum(X11,1)) | ~inRange(1,X10) | nil = X10) )), 0.58/1.05 inference(duplicate_literal_removal,[],[f4957])). 0.58/1.05 tff(f4982,plain,( 0.58/1.05 ( ! [X10:list,X11:$int] : ($less(X11,$sum(X11,1)) | ~inRange(1,X10) | nil = X10) )), 0.58/1.05 inference(evaluation,[],[f4981])). 0.58/1.05 tff(f4996,plain,( 0.58/1.05 spl6_112 <=> ! [X10 : list] : (~inRange(1,X10) | nil = X10)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 0.58/1.05 tff(f4999,plain,( 0.58/1.05 spl6_114 <=> ! [X11 : $int] : $less(X11,$sum(X11,1))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])). 0.58/1.05 tff(f5001,plain,( 0.58/1.05 spl6_112 | spl6_114), 0.58/1.05 inference(avatar_split_clause,[],[f4982,f4999,f4996])). 0.58/1.05 tff(f5575,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(0,$sum(1,length(X1)))) ) | ~spl6_40), 0.58/1.05 inference(superposition,[],[f4787,f69])). 0.58/1.05 tff(f5576,plain,( 0.58/1.05 ( ! [X1:list] : (~$less($uminus(1),length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f5575])). 0.58/1.05 tff(f5577,plain,( 0.58/1.05 ( ! [X1:list] : (~$less(-1,length(X1))) ) | ~spl6_40), 0.58/1.05 inference(evaluation,[],[f5576])). 0.58/1.05 tff(f5591,plain,( 0.58/1.05 ( ! [X57:$int,X54:$int,X52:list,X56:$int,X55:list,X53:$int] : (~$less(0,length(X52)) | in(X53,cons(X54,X55)) | X53 = X54 | ~$less(4,X56) | inRange(X57,X52) | ~$less(X56,count(X53,X55)) | $less(X57,3)) )), 0.58/1.05 inference(resolution,[],[f393,f249])). 0.58/1.05 tff(f5749,plain,( 0.58/1.05 ( ! [X14:$int,X13:list] : (~$less(X14,$sum(1,0)) | ~inRange(1,X13) | ~$less(1,X14) | nil = X13 | nil = X13 | ~inRange(1,X13)) )), 0.58/1.05 inference(superposition,[],[f470,f717])). 0.58/1.05 tff(f5750,plain,( 0.58/1.05 ( ! [X14:$int,X13:list] : (~$less(X14,$sum(1,0)) | ~inRange(1,X13) | ~$less(1,X14) | nil = X13) )), 0.58/1.05 inference(duplicate_literal_removal,[],[f5749])). 0.58/1.05 tff(f5751,plain,( 0.58/1.05 ( ! [X14:$int,X13:list] : (~$less(X14,1) | ~inRange(1,X13) | ~$less(1,X14) | nil = X13) )), 0.58/1.05 inference(evaluation,[],[f5750])). 0.58/1.05 tff(f5773,plain,( 0.58/1.05 spl6_116 <=> ! [X14 : $int] : (~$less(X14,1) | ~$less(1,X14))), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_116])])). 0.58/1.05 tff(f5775,plain,( 0.58/1.05 spl6_112 | spl6_116), 0.58/1.05 inference(avatar_split_clause,[],[f5751,f5773,f4996])). 0.58/1.05 tff(f5957,plain,( 0.58/1.05 ~$less(-1,0) | (~spl6_0 | ~spl6_40)), 0.58/1.05 inference(superposition,[],[f5577,f95])). 0.58/1.05 tff(f5961,plain,( 0.58/1.05 $false | (~spl6_0 | ~spl6_40)), 0.58/1.05 inference(evaluation,[],[f5957])). 0.58/1.05 tff(f5962,plain,( 0.58/1.05 ~spl6_0 | ~spl6_40), 0.58/1.05 inference(avatar_contradiction_clause,[],[f5961])). 0.58/1.05 tff(f6012,plain,( 0.58/1.05 spl6_118 <=> ! [X53 : $int,X55 : list,X56 : $int,X54 : $int] : (in(X53,cons(X54,X55)) | ~$less(X56,count(X53,X55)) | ~$less(4,X56) | X53 = X54)), 0.58/1.05 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])). 0.58/1.05 tff(f6014,plain,( 0.58/1.05 spl6_118 | spl6_4), 0.58/1.05 inference(avatar_split_clause,[],[f5591,f398,f6012])). 0.58/1.05 tff(f6152,plain,( 0.58/1.05 $false | ~spl6_76), 0.58/1.05 inference(resolution,[],[f4352,f22])). 0.58/1.05 tff(f6175,plain,( 0.58/1.05 ~spl6_76), 0.58/1.05 inference(avatar_contradiction_clause,[],[f6152])). 0.58/1.05 tff(f6176,plain,( 0.58/1.05 $false), 0.58/1.05 inference(avatar_sat_refutation,[],[f96,f400,f1397,f1493,f1580,f1769,f1773,f1777,f1817,f1999,f2030,f2068,f2093,f2112,f2117,f2122,f2127,f2132,f2137,f2176,f2180,f2184,f2412,f2435,f2436,f2437,f2685,f2692,f2696,f2700,f2936,f3001,f3290,f3314,f3318,f3321,f3324,f3327,f3330,f3345,f3349,f3353,f3357,f3361,f3362,f3509,f3844,f3848,f3852,f3856,f4020,f4024,f4028,f4427,f4431,f4432,f4439,f5001,f5775,f5962,f6014,f6175])). 0.58/1.05 % SZS output end Proof for theBenchmark 0.58/1.05 % ------------------------------ 0.58/1.05 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.58/1.05 % Termination reason: Refutation 0.58/1.05 0.58/1.05 % Memory used [KB]: 10106 0.58/1.05 % Time elapsed: 0.244 s 0.58/1.05 % ------------------------------ 0.58/1.05 % ------------------------------ 0.58/1.05 % Success in time 0.814 s 0.58/1.06 EOF