TSTP Solution File: SWW591_2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW591_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:39:52 EDT 2023
% Result : Theorem 8.03s 1.65s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f235)
% Comments :
%------------------------------------------------------------------------------
tff(f15,axiom,
! [X0: ty,X6: uni] :
( sort(X0,X6)
=> ( some_proj_1(X0,some(X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_proj_1_def) ).
tff(f27,axiom,
! [X0: ty,X11: ty,X12: uni,X7: uni,X13: uni,X14: uni] :
( sort(X11,X14)
=> ( ( X7 = X13 )
=> ( get(X11,X0,set(X11,X0,X12,X7,X14),X13) = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq) ).
tff(f28,axiom,
! [X0: ty,X11: ty,X12: uni,X7: uni,X13: uni] :
( sort(X0,X7)
=> ( sort(X0,X13)
=> ! [X14: uni] :
( ( X7 != X13 )
=> ( get(X11,X0,set(X11,X0,X12,X7,X14),X13) = get(X11,X0,X12,X13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq) ).
tff(f33,axiom,
! [X16: uni] : ( t2tb(tb2t(X16)) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f34,axiom,
! [X1: option_int] : sort(option(int),t2tb1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort1) ).
tff(f36,axiom,
! [X16: uni] : ( t2tb1(tb2t1(X16)) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).
tff(f37,axiom,
! [X1: $int] : sort(int,t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f38,axiom,
! [X15: $int] : ( tb2t2(t2tb2(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2) ).
tff(f39,axiom,
! [X16: uni] : ( t2tb2(tb2t2(X16)) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2) ).
tff(f40,axiom,
! [X17: map_int_lpoption_intrp] :
( inv(X17)
<=> ! [X1: $int,X9: $int] :
( ( tb2t1(get(option(int),int,t2tb(X17),t2tb2(X1))) = tb2t1(some(int,t2tb2(X9))) )
=> ( fib(X1) = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv_def) ).
tff(f41,conjecture,
! [X10: $int,X18: map_int_lpoption_intrp] :
( ( inv(X18)
& $lesseq(0,X10) )
=> ( ( tb2t1(get(option(int),int,t2tb(X18),t2tb2(X10))) = tb2t1(none(int)) )
=> ( ( inv(X18)
& $lesseq(0,X10) )
=> ! [X19: map_int_lpoption_intrp] :
( inv(X19)
=> ! [X20: map_int_lpoption_intrp] :
( ( tb2t(set(option(int),int,t2tb(X19),t2tb2(X10),some(int,t2tb2(fib(X10))))) = X20 )
=> ( inv(X20)
& ( fib(X10) = fib(X10) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_memo_fibo) ).
tff(f42,negated_conjecture,
~ ! [X10: $int,X18: map_int_lpoption_intrp] :
( ( inv(X18)
& $lesseq(0,X10) )
=> ( ( tb2t1(get(option(int),int,t2tb(X18),t2tb2(X10))) = tb2t1(none(int)) )
=> ( ( inv(X18)
& $lesseq(0,X10) )
=> ! [X19: map_int_lpoption_intrp] :
( inv(X19)
=> ! [X20: map_int_lpoption_intrp] :
( ( tb2t(set(option(int),int,t2tb(X19),t2tb2(X10),some(int,t2tb2(fib(X10))))) = X20 )
=> ( inv(X20)
& ( fib(X10) = fib(X10) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f41]) ).
tff(f45,plain,
~ ! [X10: $int,X18: map_int_lpoption_intrp] :
( ( inv(X18)
& ~ $less(X10,0) )
=> ( ( tb2t1(get(option(int),int,t2tb(X18),t2tb2(X10))) = tb2t1(none(int)) )
=> ( ( inv(X18)
& ~ $less(X10,0) )
=> ! [X19: map_int_lpoption_intrp] :
( inv(X19)
=> ! [X20: map_int_lpoption_intrp] :
( ( tb2t(set(option(int),int,t2tb(X19),t2tb2(X10),some(int,t2tb2(fib(X10))))) = X20 )
=> ( inv(X20)
& ( fib(X10) = fib(X10) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f42]) ).
tff(f72,plain,
! [X0: ty,X1: uni] :
( sort(X0,X1)
=> ( some_proj_1(X0,some(X0,X1)) = X1 ) ),
inference(rectify,[],[f15]) ).
tff(f80,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( sort(X1,X5)
=> ( ( X3 = X4 )
=> ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 ) ) ),
inference(rectify,[],[f27]) ).
tff(f81,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni] :
( sort(X0,X3)
=> ( sort(X0,X4)
=> ! [X5: uni] :
( ( X3 != X4 )
=> ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) ) ) ) ),
inference(rectify,[],[f28]) ).
tff(f86,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f33]) ).
tff(f87,plain,
! [X0: option_int] : sort(option(int),t2tb1(X0)),
inference(rectify,[],[f34]) ).
tff(f89,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f36]) ).
tff(f90,plain,
! [X0: $int] : sort(int,t2tb2(X0)),
inference(rectify,[],[f37]) ).
tff(f91,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f38]) ).
tff(f92,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f39]) ).
tff(f93,plain,
! [X0: map_int_lpoption_intrp] :
( inv(X0)
<=> ! [X1: $int,X2: $int] :
( ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) = tb2t1(some(int,t2tb2(X2))) )
=> ( fib(X1) = X2 ) ) ),
inference(rectify,[],[f40]) ).
tff(f94,plain,
~ ! [X0: $int,X1: map_int_lpoption_intrp] :
( ( inv(X1)
& ~ $less(X0,0) )
=> ( ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(X1),t2tb2(X0))) )
=> ( ( inv(X1)
& ~ $less(X0,0) )
=> ! [X2: map_int_lpoption_intrp] :
( inv(X2)
=> ! [X3: map_int_lpoption_intrp] :
( ( tb2t(set(option(int),int,t2tb(X2),t2tb2(X0),some(int,t2tb2(fib(X0))))) = X3 )
=> ( inv(X3)
& ( fib(X0) = fib(X0) ) ) ) ) ) ) ),
inference(rectify,[],[f45]) ).
tff(f99,plain,
! [X0: ty,X1: uni] :
( ( some_proj_1(X0,some(X0,X1)) = X1 )
| ~ sort(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
tff(f107,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 )
| ( X3 != X4 )
| ~ sort(X1,X5) ),
inference(ennf_transformation,[],[f80]) ).
tff(f108,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 )
| ( X3 != X4 )
| ~ sort(X1,X5) ),
inference(flattening,[],[f107]) ).
tff(f109,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni] :
( ! [X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) )
| ( X3 = X4 ) )
| ~ sort(X0,X4)
| ~ sort(X0,X3) ),
inference(ennf_transformation,[],[f81]) ).
tff(f110,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni] :
( ! [X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) )
| ( X3 = X4 ) )
| ~ sort(X0,X4)
| ~ sort(X0,X3) ),
inference(flattening,[],[f109]) ).
tff(f112,plain,
! [X0: map_int_lpoption_intrp] :
( inv(X0)
<=> ! [X1: $int,X2: $int] :
( ( fib(X1) = X2 )
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) != tb2t1(some(int,t2tb2(X2))) ) ) ),
inference(ennf_transformation,[],[f93]) ).
tff(f113,plain,
? [X0: $int,X1: map_int_lpoption_intrp] :
( ? [X2: map_int_lpoption_intrp] :
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(X0) != fib(X0) ) )
& ( tb2t(set(option(int),int,t2tb(X2),t2tb2(X0),some(int,t2tb2(fib(X0))))) = X3 ) )
& inv(X2) )
& inv(X1)
& ~ $less(X0,0)
& ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(X1),t2tb2(X0))) )
& inv(X1)
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f94]) ).
tff(f114,plain,
? [X0: $int,X1: map_int_lpoption_intrp] :
( ? [X2: map_int_lpoption_intrp] :
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(X0) != fib(X0) ) )
& ( tb2t(set(option(int),int,t2tb(X2),t2tb2(X0),some(int,t2tb2(fib(X0))))) = X3 ) )
& inv(X2) )
& inv(X1)
& ~ $less(X0,0)
& ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(X1),t2tb2(X0))) )
& inv(X1)
& ~ $less(X0,0) ),
inference(flattening,[],[f113]) ).
tff(f115,plain,
! [X0: map_int_lpoption_intrp] :
( ( inv(X0)
| ? [X1: $int,X2: $int] :
( ( fib(X1) != X2 )
& ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) = tb2t1(some(int,t2tb2(X2))) ) ) )
& ( ! [X1: $int,X2: $int] :
( ( fib(X1) = X2 )
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) != tb2t1(some(int,t2tb2(X2))) ) )
| ~ inv(X0) ) ),
inference(nnf_transformation,[],[f112]) ).
tff(f116,plain,
! [X0: map_int_lpoption_intrp] :
( ( inv(X0)
| ? [X1: $int,X2: $int] :
( ( fib(X1) != X2 )
& ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) = tb2t1(some(int,t2tb2(X2))) ) ) )
& ( ! [X3: $int,X4: $int] :
( ( fib(X3) = X4 )
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X3))) != tb2t1(some(int,t2tb2(X4))) ) )
| ~ inv(X0) ) ),
inference(rectify,[],[f115]) ).
tff(f117,plain,
! [X0: map_int_lpoption_intrp] :
( ? [X1: $int,X2: $int] :
( ( fib(X1) != X2 )
& ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X1))) = tb2t1(some(int,t2tb2(X2))) ) )
=> ( ( sK1(X0) != fib(sK0(X0)) )
& ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(sK0(X0)))) = tb2t1(some(int,t2tb2(sK1(X0)))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f118,plain,
! [X0: map_int_lpoption_intrp] :
( ( inv(X0)
| ( ( sK1(X0) != fib(sK0(X0)) )
& ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(sK0(X0)))) = tb2t1(some(int,t2tb2(sK1(X0)))) ) ) )
& ( ! [X3: $int,X4: $int] :
( ( fib(X3) = X4 )
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X3))) != tb2t1(some(int,t2tb2(X4))) ) )
| ~ inv(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f116,f117]) ).
tff(f119,plain,
( ? [X0: $int,X1: map_int_lpoption_intrp] :
( ? [X2: map_int_lpoption_intrp] :
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(X0) != fib(X0) ) )
& ( tb2t(set(option(int),int,t2tb(X2),t2tb2(X0),some(int,t2tb2(fib(X0))))) = X3 ) )
& inv(X2) )
& inv(X1)
& ~ $less(X0,0)
& ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(X1),t2tb2(X0))) )
& inv(X1)
& ~ $less(X0,0) )
=> ( ? [X2: map_int_lpoption_intrp] :
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(X2),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = X3 ) )
& inv(X2) )
& inv(sK3)
& ~ $less(sK2,0)
& ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(sK3),t2tb2(sK2))) )
& inv(sK3)
& ~ $less(sK2,0) ) ),
introduced(choice_axiom,[]) ).
tff(f120,plain,
( ? [X2: map_int_lpoption_intrp] :
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(X2),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = X3 ) )
& inv(X2) )
=> ( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = X3 ) )
& inv(sK4) ) ),
introduced(choice_axiom,[]) ).
tff(f121,plain,
( ? [X3: map_int_lpoption_intrp] :
( ( ~ inv(X3)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = X3 ) )
=> ( ( ~ inv(sK5)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = sK5 ) ) ),
introduced(choice_axiom,[]) ).
tff(f122,plain,
( ( ~ inv(sK5)
| ( fib(sK2) != fib(sK2) ) )
& ( tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = sK5 )
& inv(sK4)
& inv(sK3)
& ~ $less(sK2,0)
& ( tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(sK3),t2tb2(sK2))) )
& inv(sK3)
& ~ $less(sK2,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f114,f121,f120,f119]) ).
tff(f137,plain,
! [X0: ty,X1: uni] :
( ( some_proj_1(X0,some(X0,X1)) = X1 )
| ~ sort(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
tff(f149,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni,X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 )
| ( X3 != X4 )
| ~ sort(X1,X5) ),
inference(cnf_transformation,[],[f108]) ).
tff(f150,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni,X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) )
| ( X3 = X4 )
| ~ sort(X0,X4)
| ~ sort(X0,X3) ),
inference(cnf_transformation,[],[f110]) ).
tff(f155,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f86]) ).
tff(f156,plain,
! [X0: option_int] : sort(option(int),t2tb1(X0)),
inference(cnf_transformation,[],[f87]) ).
tff(f158,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f89]) ).
tff(f159,plain,
! [X0: $int] : sort(int,t2tb2(X0)),
inference(cnf_transformation,[],[f90]) ).
tff(f160,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f91]) ).
tff(f161,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f92]) ).
tff(f162,plain,
! [X3: $int,X0: map_int_lpoption_intrp,X4: $int] :
( ( fib(X3) = X4 )
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(X3))) != tb2t1(some(int,t2tb2(X4))) )
| ~ inv(X0) ),
inference(cnf_transformation,[],[f118]) ).
tff(f163,plain,
! [X0: map_int_lpoption_intrp] :
( inv(X0)
| ( tb2t1(get(option(int),int,t2tb(X0),t2tb2(sK0(X0)))) = tb2t1(some(int,t2tb2(sK1(X0)))) ) ),
inference(cnf_transformation,[],[f118]) ).
tff(f164,plain,
! [X0: map_int_lpoption_intrp] :
( inv(X0)
| ( sK1(X0) != fib(sK0(X0)) ) ),
inference(cnf_transformation,[],[f118]) ).
tff(f166,plain,
inv(sK3),
inference(cnf_transformation,[],[f122]) ).
tff(f167,plain,
tb2t1(none(int)) = tb2t1(get(option(int),int,t2tb(sK3),t2tb2(sK2))),
inference(cnf_transformation,[],[f122]) ).
tff(f170,plain,
inv(sK4),
inference(cnf_transformation,[],[f122]) ).
tff(f171,plain,
tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = sK5,
inference(cnf_transformation,[],[f122]) ).
tff(f174,plain,
! [X2: uni,X0: ty,X1: ty,X4: uni,X5: uni] :
( ( get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 )
| ~ sort(X1,X5) ),
inference(equality_resolution,[],[f149]) ).
cnf(c_81,plain,
( ~ sort(X0_14,X0_13)
| some_proj_1(X0_14,some(X0_14,X0_13)) = X0_13 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_93,plain,
( ~ sort(X0_14,X0_13)
| get(X0_14,X1_14,set(X0_14,X1_14,X1_13,X2_13,X0_13),X2_13) = X0_13 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_94,plain,
( ~ sort(X0_14,X0_13)
| ~ sort(X0_14,X1_13)
| get(X1_14,X0_14,set(X1_14,X0_14,X2_13,X0_13,X3_13),X1_13) = get(X1_14,X0_14,X2_13,X1_13)
| X0_13 = X1_13 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_99,negated_conjecture,
t2tb(tb2t(X0_13)) = X0_13,
inference(cnf_transformation,[],[f155]) ).
cnf(c_100,negated_conjecture,
sort(option(int),t2tb1(X0_18)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_102,negated_conjecture,
t2tb1(tb2t1(X0_13)) = X0_13,
inference(cnf_transformation,[],[f158]) ).
cnf(c_103,negated_conjecture,
sort(int,t2tb2(X0_3)),
inference(cnf_transformation,[],[f159]) ).
cnf(c_104,negated_conjecture,
tb2t2(t2tb2(X0_3)) = X0_3,
inference(cnf_transformation,[],[f160]) ).
cnf(c_105,negated_conjecture,
t2tb2(tb2t2(X0_13)) = X0_13,
inference(cnf_transformation,[],[f161]) ).
cnf(c_106,plain,
( fib(sK0(X0_17)) != sK1(X0_17)
| inv(X0_17) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_107,negated_conjecture,
( tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(sK0(X0_17)))) = tb2t1(some(int,t2tb2(sK1(X0_17))))
| inv(X0_17) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_108,plain,
( tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(X0_3))) != tb2t1(some(int,t2tb2(X1_3)))
| ~ inv(X0_17)
| fib(X0_3) = X1_3 ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_109,negated_conjecture,
~ inv(sK5),
inference(cnf_transformation,[],[f235]) ).
cnf(c_110,negated_conjecture,
tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))) = sK5,
inference(cnf_transformation,[],[f171]) ).
cnf(c_111,negated_conjecture,
inv(sK4),
inference(cnf_transformation,[],[f170]) ).
cnf(c_114,negated_conjecture,
tb2t1(get(option(int),int,t2tb(sK3),t2tb2(sK2))) = tb2t1(none(int)),
inference(cnf_transformation,[],[f167]) ).
cnf(c_115,negated_conjecture,
inv(sK3),
inference(cnf_transformation,[],[f166]) ).
cnf(c_583,plain,
~ inv(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),
inference(demodulation,[status(thm)],[c_109,c_110]) ).
cnf(c_5991,plain,
sort(int,X0_13),
inference(superposition,[status(thm)],[c_105,c_103]) ).
cnf(c_6663,plain,
some_proj_1(int,some(int,X0_13)) = X0_13,
inference(superposition,[status(thm)],[c_5991,c_81]) ).
cnf(c_7108,plain,
sort(int,X0_13),
inference(superposition,[status(thm)],[c_105,c_103]) ).
cnf(c_7398,plain,
tb2t1(get(option(int),int,t2tb(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(superposition,[status(thm)],[c_107,c_583]) ).
cnf(c_7454,plain,
( ~ sort(int,X0_13)
| get(X0_14,int,set(X0_14,int,X1_13,X0_13,X2_13),X3_13) = get(X0_14,int,X1_13,X3_13)
| X0_13 = X3_13 ),
inference(superposition,[status(thm)],[c_7108,c_94]) ).
cnf(c_7458,plain,
some_proj_1(int,some(int,X0_13)) = X0_13,
inference(superposition,[status(thm)],[c_7108,c_81]) ).
cnf(c_7464,plain,
( get(X0_14,int,set(X0_14,int,X0_13,X1_13,X2_13),X3_13) = get(X0_14,int,X0_13,X3_13)
| X1_13 = X3_13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7454,c_7108]) ).
cnf(c_7493,plain,
tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(demodulation,[status(thm)],[c_7398,c_99]) ).
cnf(c_7564,plain,
t2tb1(tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(superposition,[status(thm)],[c_7493,c_102]) ).
cnf(c_7661,plain,
get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))) = some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(demodulation,[status(thm)],[c_7564,c_102]) ).
cnf(c_7918,plain,
tb2t1(get(option(int),int,t2tb(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(superposition,[status(thm)],[c_107,c_583]) ).
cnf(c_7941,plain,
tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(demodulation,[status(thm)],[c_7918,c_99]) ).
cnf(c_8015,plain,
t2tb1(tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(superposition,[status(thm)],[c_7941,c_102]) ).
cnf(c_8040,plain,
get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))) = some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(demodulation,[status(thm)],[c_8015,c_102]) ).
cnf(c_8098,plain,
some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))),
inference(superposition,[status(thm)],[c_7661,c_6663]) ).
cnf(c_8288,plain,
some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))),
inference(superposition,[status(thm)],[c_8040,c_7458]) ).
cnf(c_8303,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),
inference(superposition,[status(thm)],[c_8098,c_104]) ).
cnf(c_8347,plain,
some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(demodulation,[status(thm)],[c_8040,c_8288]) ).
cnf(c_8515,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),
inference(superposition,[status(thm)],[c_8288,c_104]) ).
cnf(c_8517,plain,
( tb2t1(some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))))) != tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(X0_3)))
| ~ inv(X0_17)
| sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))) = fib(X0_3) ),
inference(superposition,[status(thm)],[c_8288,c_108]) ).
cnf(c_8580,plain,
( tb2t1(some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))))) != tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(X0_3)))
| ~ inv(X0_17)
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(X0_3) ),
inference(light_normalisation,[status(thm)],[c_8517,c_8515]) ).
cnf(c_8584,plain,
( tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) != tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(X0_3)))
| ~ inv(X0_17)
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(X0_3) ),
inference(light_normalisation,[status(thm)],[c_8580,c_8347]) ).
cnf(c_8854,plain,
( tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) != fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))
| inv(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))) ),
inference(superposition,[status(thm)],[c_8515,c_106]) ).
cnf(c_8876,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) != fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_8854,c_583]) ).
cnf(c_10201,plain,
( tb2t1(get(option(int),int,t2tb(sK4),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) != tb2t1(get(option(int),int,t2tb(X0_17),t2tb2(X0_3)))
| ~ inv(X0_17)
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(X0_3)
| t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))) = t2tb2(sK2) ),
inference(superposition,[status(thm)],[c_7464,c_8584]) ).
cnf(c_10655,plain,
( ~ inv(sK4)
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))
| t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))) = t2tb2(sK2) ),
inference(equality_resolution,[status(thm)],[c_10201]) ).
cnf(c_10703,plain,
t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))) = t2tb2(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_10655,c_8876,c_111]) ).
cnf(c_12305,plain,
( tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) != fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))
| inv(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))) ),
inference(superposition,[status(thm)],[c_8303,c_106]) ).
cnf(c_12309,plain,
( tb2t1(some(int,t2tb2(X0_3))) != tb2t1(none(int))
| ~ inv(sK3)
| fib(sK2) = X0_3 ),
inference(superposition,[status(thm)],[c_114,c_108]) ).
cnf(c_12348,plain,
( tb2t1(some(int,t2tb2(X0_3))) != tb2t1(none(int))
| fib(sK2) = X0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_12309,c_115]) ).
cnf(c_12364,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) != fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_12305,c_583]) ).
cnf(c_12661,plain,
sort(option(int),X0_13),
inference(superposition,[status(thm)],[c_102,c_100]) ).
cnf(c_12782,plain,
sort(int,X0_13),
inference(superposition,[status(thm)],[c_105,c_103]) ).
cnf(c_12907,plain,
get(option(int),X0_14,set(option(int),X0_14,X0_13,X1_13,X2_13),X1_13) = X2_13,
inference(superposition,[status(thm)],[c_12661,c_93]) ).
cnf(c_12979,plain,
( ~ sort(int,X0_13)
| get(X0_14,int,set(X0_14,int,X1_13,X0_13,X2_13),X3_13) = get(X0_14,int,X1_13,X3_13)
| X0_13 = X3_13 ),
inference(superposition,[status(thm)],[c_12782,c_94]) ).
cnf(c_12983,plain,
some_proj_1(int,some(int,X0_13)) = X0_13,
inference(superposition,[status(thm)],[c_12782,c_81]) ).
cnf(c_12992,plain,
( get(X0_14,int,set(X0_14,int,X0_13,X1_13,X2_13),X3_13) = get(X0_14,int,X0_13,X3_13)
| X1_13 = X3_13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_12979,c_12782]) ).
cnf(c_13163,plain,
( tb2t1(some(int,X0_13)) != tb2t1(none(int))
| tb2t2(X0_13) = fib(sK2) ),
inference(superposition,[status(thm)],[c_105,c_12348]) ).
cnf(c_13366,plain,
tb2t1(get(option(int),int,t2tb(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(superposition,[status(thm)],[c_107,c_583]) ).
cnf(c_13392,plain,
tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) = tb2t1(some(int,t2tb2(sK1(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(demodulation,[status(thm)],[c_13366,c_99]) ).
cnf(c_13393,plain,
tb2t1(some(int,t2tb2(tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))))))) = tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(light_normalisation,[status(thm)],[c_13392,c_8303]) ).
cnf(c_13394,plain,
tb2t1(some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))))) = tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))),
inference(demodulation,[status(thm)],[c_13393,c_105]) ).
cnf(c_13395,plain,
some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = t2tb1(tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))),
inference(superposition,[status(thm)],[c_13394,c_102]) ).
cnf(c_13456,plain,
some(int,some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))),
inference(demodulation,[status(thm)],[c_13395,c_102]) ).
cnf(c_13735,plain,
( tb2t1(get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) != tb2t1(none(int))
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(sK2) ),
inference(superposition,[status(thm)],[c_13456,c_13163]) ).
cnf(c_14167,plain,
( tb2t1(get(option(int),int,t2tb(sK4),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))))) != tb2t1(none(int))
| tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))))))) = fib(sK2)
| t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))) = t2tb2(sK2) ),
inference(superposition,[status(thm)],[c_12992,c_13735]) ).
cnf(c_14271,plain,
t2tb2(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))) = t2tb2(sK2),
inference(global_subsumption_just,[status(thm)],[c_14167,c_10703]) ).
cnf(c_14274,plain,
sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))) = tb2t2(t2tb2(sK2)),
inference(superposition,[status(thm)],[c_14271,c_104]) ).
cnf(c_14280,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK2)))) != fib(sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2))))))),
inference(superposition,[status(thm)],[c_14271,c_12364]) ).
cnf(c_14352,plain,
sK0(tb2t(set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))))) = sK2,
inference(demodulation,[status(thm)],[c_14274,c_104]) ).
cnf(c_14557,plain,
tb2t2(some_proj_1(int,get(option(int),int,set(option(int),int,t2tb(sK4),t2tb2(sK2),some(int,t2tb2(fib(sK2)))),t2tb2(sK2)))) != fib(sK2),
inference(light_normalisation,[status(thm)],[c_14280,c_14352]) ).
cnf(c_14558,plain,
fib(sK2) != fib(sK2),
inference(demodulation,[status(thm)],[c_14557,c_104,c_12907,c_12983]) ).
cnf(c_14559,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_14558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW591_2 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 21:07:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.03/1.65 % SZS status Started for theBenchmark.p
% 8.03/1.65 % SZS status Theorem for theBenchmark.p
% 8.03/1.65
% 8.03/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.03/1.65
% 8.03/1.65 ------ iProver source info
% 8.03/1.65
% 8.03/1.65 git: date: 2023-05-31 18:12:56 +0000
% 8.03/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.03/1.65 git: non_committed_changes: false
% 8.03/1.65 git: last_make_outside_of_git: false
% 8.03/1.65
% 8.03/1.65 ------ Parsing...
% 8.03/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.03/1.65
% 8.03/1.65 ------ Preprocessing... sup_sim: 3 sf_s rm: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 8.03/1.65
% 8.03/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.03/1.65
% 8.03/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.03/1.65 ------ Proving...
% 8.03/1.65 ------ Problem Properties
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65 clauses 66
% 8.03/1.65 conjectures 46
% 8.03/1.65 EPR 10
% 8.03/1.65 Horn 57
% 8.03/1.65 unary 44
% 8.03/1.65 binary 15
% 8.03/1.65 lits 96
% 8.03/1.65 lits eq 47
% 8.03/1.65 fd_pure 1
% 8.03/1.65 fd_pseudo 0
% 8.03/1.65 fd_cond 0
% 8.03/1.65 fd_pseudo_cond 4
% 8.03/1.65 AC symbols 2
% 8.03/1.65
% 8.03/1.65 ------ Input Options Time Limit: Unbounded
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65 ------
% 8.03/1.65 Current options:
% 8.03/1.65 ------
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65 ------ Proving...
% 8.03/1.65
% 8.03/1.65
% 8.03/1.65 % SZS status Theorem for theBenchmark.p
% 8.03/1.65
% 8.03/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.65
% 8.03/1.66
%------------------------------------------------------------------------------