TSTP Solution File: SWV191+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Thu Aug 31 21:36:56 EDT 2023
% Result : Theorem 0.54s 0.62s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 77
% Syntax : Number of formulae : 102 ( 21 unt; 70 typ; 0 def)
% Number of atoms : 136 ( 95 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 121 ( 17 ~; 8 |; 90 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 64 ( 64 usr; 19 con; 0-7 aty)
% Number of variables : 35 ( 0 sgn; 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
rho_defuse: $i ).
tff(decl_56,type,
sigma_defuse: $i ).
tff(decl_57,type,
u_defuse: $i ).
tff(decl_58,type,
xinit_defuse: $i ).
tff(decl_59,type,
xinit_mean_defuse: $i ).
tff(decl_60,type,
xinit_noise_defuse: $i ).
tff(decl_61,type,
z_defuse: $i ).
tff(decl_62,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_63,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk24_0: $i ).
tff(decl_87,type,
esk25_0: $i ).
tff(decl_88,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(quaternion_ds1_inuse_0002,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,tptp_minus_1) )
=> a_select3(z_defuse,X14,X18) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(c_0_7,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_8,plain,
! [X150,X151] :
( ~ leq(succ(X150),X151)
| gt(X151,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(c_0_9,plain,
! [X135] : plus(X135,n1) = succ(X135),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_10,plain,
! [X33] : ~ gt(X33,X33),
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X136] : plus(n1,X136) = succ(X136),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_14,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,tptp_minus_1) )
=> a_select3(z_defuse,X14,X18) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).
cnf(c_0_15,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_19,plain,
! [X35,X36,X37] :
( ~ leq(X35,X36)
| ~ leq(X36,X37)
| leq(X35,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_20,negated_conjecture,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n2)
& leq(esk25_0,tptp_minus_1)
& a_select3(z_defuse,esk24_0,esk25_0) != use ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_21,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_23,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_24,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
leq(esk25_0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( leq(X1,tptp_minus_1)
| ~ leq(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
leq(n0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:29:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.53/0.57 start to proof: theBenchmark
% 0.54/0.62 % Version : CSE_E---1.5
% 0.54/0.62 % Problem : theBenchmark.p
% 0.54/0.62 % Proof found
% 0.54/0.62 % SZS status Theorem for theBenchmark.p
% 0.54/0.62 % SZS output start Proof
% See solution above
% 0.54/0.63 % Total time : 0.048000 s
% 0.54/0.63 % SZS output end Proof
% 0.54/0.63 % Total time : 0.051000 s
%------------------------------------------------------------------------------