TSTP Solution File: SWV175+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 : Tue Aug 22 11:03:06 EDT 2023
% Result : Theorem 56.23s 40.02s
% Output : CNFRefutation 56.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 93
% Syntax : Number of formulae : 279 ( 120 unt; 71 typ; 0 def)
% Number of atoms : 388 ( 128 equ)
% Maximal formula atoms : 28 ( 1 avg)
% Number of connectives : 312 ( 132 ~; 141 |; 19 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 49 >; 111 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 66 ( 66 usr; 21 con; 0-8 aty)
% Number of variables : 109 (; 109 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > use > true > tptp_minus_1 > tptp_float_0_0 > sigmaold_init > rhoold_init > rho_init > q_init > pv30 > pv28 > n5 > n4 > n3 > n2 > n135299 > n1 > n0 > muold_init > loopcounter > init > def > center_init > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(center_init,type,
center_init: $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(n135299,type,
n135299: $i ).
tff(loopcounter,type,
loopcounter: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff(pv28,type,
pv28: $i ).
tff(rho_init,type,
rho_init: $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(sigmaold_init,type,
sigmaold_init: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rhoold_init,type,
rhoold_init: $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $i ).
tff(tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(n3,type,
n3: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(q_init,type,
q_init: $i ).
tff(n0,type,
n0: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(pv30,type,
pv30: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff(muold_init,type,
muold_init: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(init,type,
init: $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(def,type,
def: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_641,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
tff(f_642,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
tff(f_116,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_643,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
tff(f_112,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_639,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
tff(f_413,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
tff(f_543,negated_conjecture,
~ ( ( leq(n0,pv28)
& leq(n0,pv30)
& leq(pv28,n4)
& leq(pv30,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> ( a_select3(q_init,A,B) = init ) ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,pred(pv28)) )
=> ( a_select2(rho_init,C) = init ) )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> ( a_select3(center_init,D,n0) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> ( a_select2(muold_init,E) = init ) ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> ( a_select2(rhoold_init,F) = init ) ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> ( a_select2(sigmaold_init,G) = init ) ) ) )
=> ( a_select3(q_init,pv30,pv28) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0051) ).
tff(f_94,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
tff(f_101,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(f_555,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
tff(f_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_62,axiom,
! [X,Y] :
( gt(X,Y)
| gt(Y,X)
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).
tff(f_106,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
tff(f_586,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n4) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
tff(f_378,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
tff(f_402,axiom,
! [X] : ( pred(succ(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
tff(f_560,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
tff(f_564,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
tff(f_68,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_606,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_641]) ).
tff(c_608,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_642]) ).
tff(c_612,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_606,c_608]) ).
tff(c_22697,plain,
! [Y_763,X_764] :
( gt(succ(Y_763),X_764)
| ~ leq(X_764,Y_763) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_22750,plain,
! [Y_765] : ~ leq(succ(Y_765),Y_765),
inference(resolution,[status(thm)],[c_22697,c_6]) ).
tff(c_22797,plain,
~ leq(n2,n1),
inference(superposition,[status(thm),theory(equality)],[c_612,c_22750]) ).
tff(c_22836,plain,
~ geq(n1,n2),
inference(resolution,[status(thm)],[c_16,c_22797]) ).
tff(c_610,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_643]) ).
tff(c_611,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_608,c_610]) ).
tff(c_1419,plain,
! [X_229,Y_230] :
( leq(X_229,succ(Y_230))
| ~ leq(X_229,Y_230) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_22381,plain,
! [X_756] :
( leq(X_756,n3)
| ~ leq(X_756,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_1419]) ).
tff(c_602,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_639]) ).
tff(c_614,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_611,c_612,c_606,c_602]) ).
tff(c_1284,plain,
! [Y_223,X_224] :
( gt(Y_223,X_224)
| ~ leq(succ(X_224),Y_223) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_1326,plain,
! [Y_223] :
( gt(Y_223,n3)
| ~ leq(n4,Y_223) ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_1284]) ).
tff(c_22385,plain,
( gt(n3,n3)
| ~ leq(n4,n2) ),
inference(resolution,[status(thm)],[c_22381,c_1326]) ).
tff(c_22399,plain,
~ leq(n4,n2),
inference(negUnitSimplification,[status(thm)],[c_6,c_22385]) ).
tff(c_22411,plain,
~ geq(n2,n4),
inference(resolution,[status(thm)],[c_16,c_22399]) ).
tff(c_22803,plain,
~ leq(n1,n0),
inference(superposition,[status(thm),theory(equality)],[c_606,c_22750]) ).
tff(c_22899,plain,
~ geq(n0,n1),
inference(resolution,[status(thm)],[c_16,c_22803]) ).
tff(c_532,plain,
leq(n0,pv28),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_20,plain,
! [X_15,Y_16] :
( leq(X_15,Y_16)
| ~ gt(Y_16,X_15) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_1331,plain,
! [A_225,B_226] :
( ( a_select3(q_init,A_225,B_226) = init )
| ~ leq(B_226,n4)
| ~ leq(n0,B_226)
| ~ leq(A_225,n135299)
| ~ leq(n0,A_225) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_23763,plain,
! [A_788,X_789] :
( ( a_select3(q_init,A_788,X_789) = init )
| ~ leq(n0,X_789)
| ~ leq(A_788,n135299)
| ~ leq(n0,A_788)
| ~ gt(n4,X_789) ),
inference(resolution,[status(thm)],[c_20,c_1331]) ).
tff(c_23805,plain,
! [A_788] :
( ( a_select3(q_init,A_788,pv28) = init )
| ~ leq(A_788,n135299)
| ~ leq(n0,A_788)
| ~ gt(n4,pv28) ),
inference(resolution,[status(thm)],[c_532,c_23763]) ).
tff(c_23965,plain,
~ gt(n4,pv28),
inference(splitLeft,[status(thm)],[c_23805]) ).
tff(c_528,plain,
leq(pv28,n4),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_24875,plain,
! [Y_810,X_811] :
( gt(Y_810,X_811)
| ( Y_810 = X_811 )
| ~ leq(X_811,Y_810) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_24920,plain,
( gt(n4,pv28)
| ( pv28 = n4 ) ),
inference(resolution,[status(thm)],[c_528,c_24875]) ).
tff(c_24946,plain,
pv28 = n4,
inference(negUnitSimplification,[status(thm)],[c_23965,c_24920]) ).
tff(c_530,plain,
leq(n0,pv30),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_526,plain,
leq(pv30,n135299),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_554,plain,
gt(n4,n0),
inference(cnfTransformation,[status(thm)],[f_555]) ).
tff(c_882,plain,
! [X_213,Y_214] :
( geq(X_213,Y_214)
| ~ leq(Y_214,X_213) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1163,plain,
! [Y_221,X_222] :
( geq(Y_221,X_222)
| ~ gt(Y_221,X_222) ),
inference(resolution,[status(thm)],[c_20,c_882]) ).
tff(c_1277,plain,
geq(n4,n0),
inference(resolution,[status(thm)],[c_554,c_1163]) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_721,plain,
! [D_199] :
( ( a_select3(center_init,D_199,n0) = init )
| ~ leq(D_199,n4)
| ~ leq(n0,D_199) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_727,plain,
( ( a_select3(center_init,n4,n0) = init )
| ~ leq(n0,n4) ),
inference(resolution,[status(thm)],[c_8,c_721]) ).
tff(c_1391,plain,
~ leq(n0,n4),
inference(splitLeft,[status(thm)],[c_727]) ).
tff(c_1394,plain,
~ geq(n4,n0),
inference(resolution,[status(thm)],[c_16,c_1391]) ).
tff(c_1401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1277,c_1394]) ).
tff(c_1403,plain,
leq(n0,n4),
inference(splitRight,[status(thm)],[c_727]) ).
tff(c_1345,plain,
! [A_225] :
( ( a_select3(q_init,A_225,n4) = init )
| ~ leq(n0,n4)
| ~ leq(A_225,n135299)
| ~ leq(n0,A_225) ),
inference(resolution,[status(thm)],[c_8,c_1331]) ).
tff(c_23504,plain,
! [A_781] :
( ( a_select3(q_init,A_781,n4) = init )
| ~ leq(A_781,n135299)
| ~ leq(n0,A_781) ),
inference(demodulation,[status(thm),theory(equality)],[c_1403,c_1345]) ).
tff(c_23515,plain,
( ( a_select3(q_init,pv30,n4) = init )
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[c_526,c_23504]) ).
tff(c_23521,plain,
a_select3(q_init,pv30,n4) = init,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_23515]) ).
tff(c_24630,plain,
! [Y_806,X_807] :
( ( Y_806 = X_807 )
| gt(Y_806,X_807)
| gt(X_807,Y_806) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_22939,plain,
! [X_770,Y_771] :
( leq(X_770,pred(Y_771))
| ~ gt(Y_771,X_770) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_522,plain,
! [C_184] :
( ( a_select2(rho_init,C_184) = init )
| ~ leq(C_184,pred(pv28))
| ~ leq(n0,C_184) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_23000,plain,
! [X_772] :
( ( a_select2(rho_init,X_772) = init )
| ~ leq(n0,X_772)
| ~ gt(pv28,X_772) ),
inference(resolution,[status(thm)],[c_22939,c_522]) ).
tff(c_23050,plain,
( ( a_select2(rho_init,n4) = init )
| ~ gt(pv28,n4) ),
inference(resolution,[status(thm)],[c_1403,c_23000]) ).
tff(c_24101,plain,
~ gt(pv28,n4),
inference(splitLeft,[status(thm)],[c_23050]) ).
tff(c_24641,plain,
( ( pv28 = n4 )
| gt(n4,pv28) ),
inference(resolution,[status(thm)],[c_24630,c_24101]) ).
tff(c_24736,plain,
pv28 = n4,
inference(negUnitSimplification,[status(thm)],[c_23965,c_24641]) ).
tff(c_512,plain,
a_select3(q_init,pv30,pv28) != init,
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_24773,plain,
a_select3(q_init,pv30,n4) != init,
inference(demodulation,[status(thm),theory(equality)],[c_24736,c_512]) ).
tff(c_24788,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23521,c_24773]) ).
tff(c_24790,plain,
gt(pv28,n4),
inference(splitRight,[status(thm)],[c_23050]) ).
tff(c_24949,plain,
gt(n4,n4),
inference(demodulation,[status(thm),theory(equality)],[c_24946,c_24790]) ).
tff(c_24968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_24949]) ).
tff(c_24970,plain,
gt(n4,pv28),
inference(splitRight,[status(thm)],[c_23805]) ).
tff(c_1349,plain,
! [X_227,Y_228] :
( leq(X_227,Y_228)
| ~ gt(succ(Y_228),X_227) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_1386,plain,
! [X_227] :
( leq(X_227,n3)
| ~ gt(n4,X_227) ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_1349]) ).
tff(c_93277,plain,
! [X_2053] :
( leq(X_2053,n4)
| ~ leq(X_2053,n3) ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_1419]) ).
tff(c_524,plain,
! [A_181,B_183] :
( ( a_select3(q_init,A_181,B_183) = init )
| ~ leq(B_183,n4)
| ~ leq(n0,B_183)
| ~ leq(A_181,n135299)
| ~ leq(n0,A_181) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_94490,plain,
! [A_2089,X_2090] :
( ( a_select3(q_init,A_2089,X_2090) = init )
| ~ leq(n0,X_2090)
| ~ leq(A_2089,n135299)
| ~ leq(n0,A_2089)
| ~ leq(X_2090,n3) ),
inference(resolution,[status(thm)],[c_93277,c_524]) ).
tff(c_94572,plain,
! [A_2089] :
( ( a_select3(q_init,A_2089,pv28) = init )
| ~ leq(A_2089,n135299)
| ~ leq(n0,A_2089)
| ~ leq(pv28,n3) ),
inference(resolution,[status(thm)],[c_532,c_94490]) ).
tff(c_94696,plain,
~ leq(pv28,n3),
inference(splitLeft,[status(thm)],[c_94572]) ).
tff(c_94699,plain,
~ gt(n4,pv28),
inference(resolution,[status(thm)],[c_1386,c_94696]) ).
tff(c_94712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24970,c_94699]) ).
tff(c_94714,plain,
leq(pv28,n3),
inference(splitRight,[status(thm)],[c_94572]) ).
tff(c_22,plain,
! [Y_18,X_17] :
( gt(Y_18,X_17)
| ( Y_18 = X_17 )
| ~ leq(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_94729,plain,
( gt(n3,pv28)
| ( pv28 = n3 ) ),
inference(resolution,[status(thm)],[c_94714,c_22]) ).
tff(c_94731,plain,
pv28 = n3,
inference(splitLeft,[status(thm)],[c_94729]) ).
tff(c_94764,plain,
a_select3(q_init,pv30,n3) != init,
inference(demodulation,[status(thm),theory(equality)],[c_94731,c_512]) ).
tff(c_94765,plain,
leq(n0,n3),
inference(demodulation,[status(thm),theory(equality)],[c_94731,c_532]) ).
tff(c_94766,plain,
leq(n3,n4),
inference(demodulation,[status(thm),theory(equality)],[c_94731,c_528]) ).
tff(c_94851,plain,
! [A_181] :
( ( a_select3(q_init,A_181,n3) = init )
| ~ leq(n0,n3)
| ~ leq(A_181,n135299)
| ~ leq(n0,A_181) ),
inference(resolution,[status(thm)],[c_94766,c_524]) ).
tff(c_95358,plain,
! [A_2112] :
( ( a_select3(q_init,A_2112,n3) = init )
| ~ leq(A_2112,n135299)
| ~ leq(n0,A_2112) ),
inference(demodulation,[status(thm),theory(equality)],[c_94765,c_94851]) ).
tff(c_95379,plain,
( ( a_select3(q_init,pv30,n3) = init )
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[c_526,c_95358]) ).
tff(c_95395,plain,
a_select3(q_init,pv30,n3) = init,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_95379]) ).
tff(c_95397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94764,c_95395]) ).
tff(c_95399,plain,
pv28 != n3,
inference(splitRight,[status(thm)],[c_94729]) ).
tff(c_94583,plain,
! [X_2091] :
( ( n4 = X_2091 )
| ( n3 = X_2091 )
| ( n2 = X_2091 )
| ( n1 = X_2091 )
| ( n0 = X_2091 )
| ~ leq(X_2091,n4)
| ~ leq(n0,X_2091) ),
inference(cnfTransformation,[status(thm)],[f_586]) ).
tff(c_94603,plain,
( ( pv28 = n4 )
| ( pv28 = n3 )
| ( pv28 = n2 )
| ( pv28 = n1 )
| ( pv28 = n0 )
| ~ leq(n0,pv28) ),
inference(resolution,[status(thm)],[c_528,c_94583]) ).
tff(c_94621,plain,
( ( pv28 = n4 )
| ( pv28 = n3 )
| ( pv28 = n2 )
| ( pv28 = n1 )
| ( pv28 = n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_94603]) ).
tff(c_171481,plain,
( ( pv28 = n4 )
| ( pv28 = n2 )
| ( pv28 = n1 )
| ( pv28 = n0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95399,c_94621]) ).
tff(c_171482,plain,
pv28 = n0,
inference(splitLeft,[status(thm)],[c_171481]) ).
tff(c_22806,plain,
~ leq(n3,n2),
inference(superposition,[status(thm),theory(equality)],[c_611,c_22750]) ).
tff(c_22920,plain,
~ gt(n2,n3),
inference(resolution,[status(thm)],[c_20,c_22806]) ).
tff(c_97619,plain,
! [X_2175] :
( leq(X_2175,n2)
| ~ leq(X_2175,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_612,c_1419]) ).
tff(c_97703,plain,
( gt(n2,n3)
| ~ leq(n4,n1) ),
inference(resolution,[status(thm)],[c_97619,c_1326]) ).
tff(c_97758,plain,
~ leq(n4,n1),
inference(negUnitSimplification,[status(thm)],[c_22920,c_97703]) ).
tff(c_97932,plain,
~ geq(n1,n4),
inference(resolution,[status(thm)],[c_16,c_97758]) ).
tff(c_448,plain,
succ(tptp_minus_1) = n0,
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_662,plain,
! [X_198] : ( pred(succ(X_198)) = X_198 ),
inference(cnfTransformation,[status(thm)],[f_402]) ).
tff(c_677,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_662]) ).
tff(c_115725,plain,
( ( pv28 = n4 )
| ( pv28 = n2 )
| ( pv28 = n1 )
| ( pv28 = n0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95399,c_94621]) ).
tff(c_115726,plain,
pv28 = n0,
inference(splitLeft,[status(thm)],[c_115725]) ).
tff(c_2715,plain,
! [X_264,Y_265] :
( leq(X_264,pred(Y_265))
| ~ gt(Y_265,X_264) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_856,plain,
! [C_206] :
( ( a_select2(rho_init,C_206) = init )
| ~ leq(C_206,pred(pv28))
| ~ leq(n0,C_206) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_861,plain,
( ( a_select2(rho_init,pred(pv28)) = init )
| ~ leq(n0,pred(pv28)) ),
inference(resolution,[status(thm)],[c_8,c_856]) ).
tff(c_1459,plain,
~ leq(n0,pred(pv28)),
inference(splitLeft,[status(thm)],[c_861]) ).
tff(c_2802,plain,
~ gt(pv28,n0),
inference(resolution,[status(thm)],[c_2715,c_1459]) ).
tff(c_2970,plain,
! [Y_268,X_269] :
( gt(Y_268,X_269)
| ( Y_268 = X_269 )
| ~ leq(X_269,Y_268) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_3003,plain,
( gt(pv28,n0)
| ( pv28 = n0 ) ),
inference(resolution,[status(thm)],[c_532,c_2970]) ).
tff(c_3030,plain,
pv28 = n0,
inference(negUnitSimplification,[status(thm)],[c_2802,c_3003]) ).
tff(c_3051,plain,
a_select3(q_init,pv30,n0) != init,
inference(demodulation,[status(thm),theory(equality)],[c_3030,c_512]) ).
tff(c_1342,plain,
! [A_225] :
( ( a_select3(q_init,A_225,pv28) = init )
| ~ leq(n0,pv28)
| ~ leq(A_225,n135299)
| ~ leq(n0,A_225) ),
inference(resolution,[status(thm)],[c_528,c_1331]) ).
tff(c_1348,plain,
! [A_225] :
( ( a_select3(q_init,A_225,pv28) = init )
| ~ leq(A_225,n135299)
| ~ leq(n0,A_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_1342]) ).
tff(c_21937,plain,
! [A_744] :
( ( a_select3(q_init,A_744,n0) = init )
| ~ leq(A_744,n135299)
| ~ leq(n0,A_744) ),
inference(demodulation,[status(thm),theory(equality)],[c_3030,c_1348]) ).
tff(c_21974,plain,
( ( a_select3(q_init,pv30,n0) = init )
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[c_526,c_21937]) ).
tff(c_21997,plain,
a_select3(q_init,pv30,n0) = init,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_21974]) ).
tff(c_21999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3051,c_21997]) ).
tff(c_22001,plain,
leq(n0,pred(pv28)),
inference(splitRight,[status(thm)],[c_861]) ).
tff(c_102101,plain,
! [Y_2281] :
( gt(Y_2281,tptp_minus_1)
| ~ leq(n0,Y_2281) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_1284]) ).
tff(c_102275,plain,
gt(pred(pv28),tptp_minus_1),
inference(resolution,[status(thm)],[c_22001,c_102101]) ).
tff(c_115764,plain,
gt(pred(n0),tptp_minus_1),
inference(demodulation,[status(thm),theory(equality)],[c_115726,c_102275]) ).
tff(c_115827,plain,
gt(tptp_minus_1,tptp_minus_1),
inference(demodulation,[status(thm),theory(equality)],[c_677,c_115764]) ).
tff(c_115829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_115827]) ).
tff(c_115830,plain,
( ( pv28 = n1 )
| ( pv28 = n2 )
| ( pv28 = n4 ) ),
inference(splitRight,[status(thm)],[c_115725]) ).
tff(c_116033,plain,
pv28 = n4,
inference(splitLeft,[status(thm)],[c_115830]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( ( Y_2 = X_1 )
| gt(Y_2,X_1)
| gt(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_564,plain,
gt(n3,n0),
inference(cnfTransformation,[status(thm)],[f_560]) ).
tff(c_1383,plain,
! [X_227] :
( leq(X_227,n2)
| ~ gt(n3,X_227) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_1349]) ).
tff(c_1453,plain,
! [X_229] :
( leq(X_229,n3)
| ~ leq(X_229,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_1419]) ).
tff(c_23045,plain,
( ( a_select2(rho_init,n3) = init )
| ~ gt(pv28,n3)
| ~ leq(n0,n2) ),
inference(resolution,[status(thm)],[c_1453,c_23000]) ).
tff(c_93059,plain,
~ leq(n0,n2),
inference(splitLeft,[status(thm)],[c_23045]) ).
tff(c_93062,plain,
~ gt(n3,n0),
inference(resolution,[status(thm)],[c_1383,c_93059]) ).
tff(c_93072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_93062]) ).
tff(c_93074,plain,
leq(n0,n2),
inference(splitRight,[status(thm)],[c_23045]) ).
tff(c_22999,plain,
! [X_770] :
( ( a_select2(rho_init,X_770) = init )
| ~ leq(n0,X_770)
| ~ gt(pv28,X_770) ),
inference(resolution,[status(thm)],[c_22939,c_522]) ).
tff(c_93102,plain,
( ( a_select2(rho_init,n2) = init )
| ~ gt(pv28,n2) ),
inference(resolution,[status(thm)],[c_93074,c_22999]) ).
tff(c_108059,plain,
~ gt(pv28,n2),
inference(splitLeft,[status(thm)],[c_93102]) ).
tff(c_108071,plain,
( ( pv28 = n2 )
| gt(n2,pv28) ),
inference(resolution,[status(thm)],[c_2,c_108059]) ).
tff(c_108258,plain,
gt(n2,pv28),
inference(splitLeft,[status(thm)],[c_108071]) ).
tff(c_22488,plain,
! [X_760] :
( leq(X_760,n1)
| ~ gt(n2,X_760) ),
inference(superposition,[status(thm),theory(equality)],[c_612,c_1349]) ).
tff(c_18,plain,
! [X_13,Y_14] :
( geq(X_13,Y_14)
| ~ leq(Y_14,X_13) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_113796,plain,
! [X_2501] :
( geq(n1,X_2501)
| ~ gt(n2,X_2501) ),
inference(resolution,[status(thm)],[c_22488,c_18]) ).
tff(c_113902,plain,
geq(n1,pv28),
inference(resolution,[status(thm)],[c_108258,c_113796]) ).
tff(c_116037,plain,
geq(n1,n4),
inference(demodulation,[status(thm),theory(equality)],[c_116033,c_113902]) ).
tff(c_116125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97932,c_116037]) ).
tff(c_116126,plain,
( ( pv28 = n2 )
| ( pv28 = n1 ) ),
inference(splitRight,[status(thm)],[c_115830]) ).
tff(c_116129,plain,
pv28 = n1,
inference(splitLeft,[status(thm)],[c_116126]) ).
tff(c_116217,plain,
a_select3(q_init,pv30,n1) != init,
inference(demodulation,[status(thm),theory(equality)],[c_116129,c_512]) ).
tff(c_136755,plain,
! [A_2768] :
( ( a_select3(q_init,A_2768,n1) = init )
| ~ leq(A_2768,n135299)
| ~ leq(n0,A_2768) ),
inference(demodulation,[status(thm),theory(equality)],[c_116129,c_1348]) ).
tff(c_136800,plain,
( ( a_select3(q_init,pv30,n1) = init )
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[c_526,c_136755]) ).
tff(c_136829,plain,
a_select3(q_init,pv30,n1) = init,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_136800]) ).
tff(c_136831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116217,c_136829]) ).
tff(c_136832,plain,
pv28 = n2,
inference(splitRight,[status(thm)],[c_116126]) ).
tff(c_136839,plain,
geq(n1,n2),
inference(demodulation,[status(thm),theory(equality)],[c_136832,c_113902]) ).
tff(c_136926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22836,c_136839]) ).
tff(c_136927,plain,
pv28 = n2,
inference(splitRight,[status(thm)],[c_108071]) ).
tff(c_137001,plain,
a_select3(q_init,pv30,n2) != init,
inference(demodulation,[status(thm),theory(equality)],[c_136927,c_512]) ).
tff(c_162643,plain,
! [A_3125] :
( ( a_select3(q_init,A_3125,n2) = init )
| ~ leq(A_3125,n135299)
| ~ leq(n0,A_3125) ),
inference(demodulation,[status(thm),theory(equality)],[c_136927,c_1348]) ).
tff(c_162688,plain,
( ( a_select3(q_init,pv30,n2) = init )
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[c_526,c_162643]) ).
tff(c_162717,plain,
a_select3(q_init,pv30,n2) = init,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_162688]) ).
tff(c_162719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137001,c_162717]) ).
tff(c_162721,plain,
gt(pv28,n2),
inference(splitRight,[status(thm)],[c_93102]) ).
tff(c_572,plain,
gt(n2,n1),
inference(cnfTransformation,[status(thm)],[f_564]) ).
tff(c_93500,plain,
! [X_2055,Z_2056,Y_2057] :
( gt(X_2055,Z_2056)
| ~ gt(Y_2057,Z_2056)
| ~ gt(X_2055,Y_2057) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_93593,plain,
! [X_2055] :
( gt(X_2055,n1)
| ~ gt(X_2055,n2) ),
inference(resolution,[status(thm)],[c_572,c_93500]) ).
tff(c_162742,plain,
gt(pv28,n1),
inference(resolution,[status(thm)],[c_162721,c_93593]) ).
tff(c_901,plain,
! [Y_16,X_15] :
( geq(Y_16,X_15)
| ~ gt(Y_16,X_15) ),
inference(resolution,[status(thm)],[c_20,c_882]) ).
tff(c_162764,plain,
geq(pv28,n1),
inference(resolution,[status(thm)],[c_162742,c_901]) ).
tff(c_171495,plain,
geq(n0,n1),
inference(demodulation,[status(thm),theory(equality)],[c_171482,c_162764]) ).
tff(c_171578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22899,c_171495]) ).
tff(c_171579,plain,
( ( pv28 = n1 )
| ( pv28 = n2 )
| ( pv28 = n4 ) ),
inference(splitRight,[status(thm)],[c_171481]) ).
tff(c_171582,plain,
pv28 = n4,
inference(splitLeft,[status(thm)],[c_171579]) ).
tff(c_95398,plain,
gt(n3,pv28),
inference(splitRight,[status(thm)],[c_94729]) ).
tff(c_92959,plain,
! [X_2048] :
( leq(X_2048,n2)
| ~ gt(n3,X_2048) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_1349]) ).
tff(c_171313,plain,
! [X_3250] :
( geq(n2,X_3250)
| ~ gt(n3,X_3250) ),
inference(resolution,[status(thm)],[c_92959,c_18]) ).
tff(c_171461,plain,
geq(n2,pv28),
inference(resolution,[status(thm)],[c_95398,c_171313]) ).
tff(c_171584,plain,
geq(n2,n4),
inference(demodulation,[status(thm),theory(equality)],[c_171582,c_171461]) ).
tff(c_171673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22411,c_171584]) ).
tff(c_171674,plain,
( ( pv28 = n2 )
| ( pv28 = n1 ) ),
inference(splitRight,[status(thm)],[c_171579]) ).
tff(c_171880,plain,
pv28 = n1,
inference(splitLeft,[status(thm)],[c_171674]) ).
tff(c_162747,plain,
geq(pv28,n2),
inference(resolution,[status(thm)],[c_162721,c_901]) ).
tff(c_171896,plain,
geq(n1,n2),
inference(demodulation,[status(thm),theory(equality)],[c_171880,c_162747]) ).
tff(c_171978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22836,c_171896]) ).
tff(c_171979,plain,
pv28 = n2,
inference(splitRight,[status(thm)],[c_171674]) ).
tff(c_171999,plain,
gt(n2,n2),
inference(demodulation,[status(thm),theory(equality)],[c_171979,c_162721]) ).
tff(c_172081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_171999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:54:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 56.23/40.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.33/40.05
% 56.33/40.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 56.33/40.10
% 56.33/40.10 Inference rules
% 56.33/40.10 ----------------------
% 56.33/40.10 #Ref : 0
% 56.33/40.10 #Sup : 37946
% 56.33/40.10 #Fact : 10
% 56.33/40.10 #Define : 0
% 56.33/40.10 #Split : 76
% 56.33/40.10 #Chain : 0
% 56.33/40.10 #Close : 0
% 56.33/40.10
% 56.33/40.10 Ordering : KBO
% 56.33/40.10
% 56.33/40.10 Simplification rules
% 56.33/40.10 ----------------------
% 56.33/40.10 #Subsume : 12499
% 56.33/40.10 #Demod : 20532
% 56.33/40.10 #Tautology : 5082
% 56.33/40.10 #SimpNegUnit : 1484
% 56.33/40.10 #BackRed : 1891
% 56.33/40.10
% 56.33/40.10 #Partial instantiations: 0
% 56.33/40.10 #Strategies tried : 1
% 56.33/40.10
% 56.33/40.10 Timing (in seconds)
% 56.33/40.10 ----------------------
% 56.33/40.10 Preprocessing : 0.93
% 56.33/40.10 Parsing : 0.37
% 56.33/40.10 CNF conversion : 0.07
% 56.33/40.10 Main loop : 38.03
% 56.33/40.10 Inferencing : 5.38
% 56.33/40.10 Reduction : 20.49
% 56.33/40.10 Demodulation : 15.60
% 56.33/40.10 BG Simplification : 0.54
% 56.33/40.10 Subsumption : 9.59
% 56.33/40.10 Abstraction : 0.85
% 56.33/40.10 MUC search : 0.00
% 56.33/40.10 Cooper : 0.00
% 56.33/40.10 Total : 39.05
% 56.33/40.10 Index Insertion : 0.00
% 56.33/40.10 Index Deletion : 0.00
% 56.33/40.10 Index Matching : 0.00
% 56.33/40.10 BG Taut test : 0.00
%------------------------------------------------------------------------------