TSTP Solution File: SWV190+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWV190+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : 600s
% DateTime : Wed Jul 20 21:16:06 EDT 2022
% Result : Theorem 37.41s 37.60s
% Output : Refutation 37.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
input ).
fof(c480,axiom,
! [X] : ~ gt(X,X),
inference(fof_simplification,status(thm),[irreflexivity_gt]) ).
fof(c481,axiom,
! [X176] : ~ gt(X176,X176),
inference(variable_rename,status(thm),[c480]) ).
cnf(c482,axiom,
~ gt(X184,X184),
inference(split_conjunct,status(thm),[c481]) ).
fof(leq_succ_gt,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
input ).
fof(c137,axiom,
! [X,Y] :
( ~ leq(succ(X),Y)
| gt(Y,X) ),
inference(fof_nnf,status(thm),[leq_succ_gt]) ).
fof(c138,axiom,
! [X44,X45] :
( ~ leq(succ(X44),X45)
| gt(X45,X44) ),
inference(variable_rename,status(thm),[c137]) ).
cnf(c139,axiom,
( ~ leq(succ(X319),X320)
| gt(X320,X319) ),
inference(split_conjunct,status(thm),[c138]) ).
fof(quaternion_ds1_inuse_0001,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 )
=> ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,tptp_minus_1) )
=> a_select3(u_defuse,A,B) = use ) ),
input ).
fof(c66,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 )
=> ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,tptp_minus_1) )
=> a_select3(u_defuse,A,B) = use ) ),
inference(assume_negation,status(cth),[quaternion_ds1_inuse_0001]) ).
fof(c67,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
& ? [A,B] :
( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,tptp_minus_1)
& a_select3(u_defuse,A,B) != use ) ),
inference(fof_nnf,status(thm),[c66]) ).
fof(c68,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
& ? [X8,X9] :
( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,tptp_minus_1)
& a_select3(u_defuse,X8,X9) != use ) ),
inference(variable_rename,status(thm),[c67]) ).
fof(c69,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,skolem0001)
& leq(n0,skolem0002)
& leq(skolem0001,n2)
& leq(skolem0002,tptp_minus_1)
& a_select3(u_defuse,skolem0001,skolem0002) != use ),
inference(skolemize,status(esa),[c68]) ).
cnf(c100,negated_conjecture,
leq(skolem0002,tptp_minus_1),
inference(split_conjunct,status(thm),[c69]) ).
fof(transitivity_leq,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
input ).
fof(c475,axiom,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(fof_nnf,status(thm),[transitivity_leq]) ).
fof(c476,axiom,
! [X172,X173,X174] :
( ~ leq(X172,X173)
| ~ leq(X173,X174)
| leq(X172,X174) ),
inference(variable_rename,status(thm),[c475]) ).
cnf(c477,axiom,
( ~ leq(X2276,X2275)
| ~ leq(X2275,X2274)
| leq(X2276,X2274) ),
inference(split_conjunct,status(thm),[c476]) ).
cnf(c30938,plain,
( ~ leq(X2450,skolem0002)
| leq(X2450,tptp_minus_1) ),
inference(resolution,status(thm),[c477,c100]) ).
cnf(c98,negated_conjecture,
leq(n0,skolem0002),
inference(split_conjunct,status(thm),[c69]) ).
cnf(c30960,plain,
( ~ leq(X2632,n0)
| leq(X2632,skolem0002) ),
inference(resolution,status(thm),[c477,c98]) ).
cnf(symmetry,axiom,
( X185 != X186
| X186 = X185 ),
eq_axiom ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
input ).
cnf(c172,axiom,
succ(tptp_minus_1) = n0,
inference(split_conjunct,status(thm),[succ_tptp_minus_1]) ).
cnf(c521,plain,
n0 = succ(tptp_minus_1),
inference(resolution,status(thm),[c172,symmetry]) ).
cnf(reflexivity,axiom,
X182 = X182,
eq_axiom ).
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
input ).
fof(c478,axiom,
! [X175] : leq(X175,X175),
inference(variable_rename,status(thm),[reflexivity_leq]) ).
cnf(c479,axiom,
leq(X183,X183),
inference(split_conjunct,status(thm),[c478]) ).
cnf(c19,plain,
( X286 != X287
| X285 != X288
| ~ leq(X286,X285)
| leq(X287,X288) ),
eq_axiom ).
cnf(c692,plain,
( X2808 != X2806
| X2808 != X2807
| leq(X2806,X2807) ),
inference(resolution,status(thm),[c19,c479]) ).
cnf(c53185,plain,
( X2809 != X2810
| leq(X2810,X2809) ),
inference(resolution,status(thm),[c692,reflexivity]) ).
cnf(c53332,plain,
leq(succ(tptp_minus_1),n0),
inference(resolution,status(thm),[c53185,c521]) ).
cnf(c53527,plain,
leq(succ(tptp_minus_1),skolem0002),
inference(resolution,status(thm),[c53332,c30960]) ).
cnf(c54169,plain,
leq(succ(tptp_minus_1),tptp_minus_1),
inference(resolution,status(thm),[c53527,c30938]) ).
cnf(c55542,plain,
gt(tptp_minus_1,tptp_minus_1),
inference(resolution,status(thm),[c54169,c139]) ).
cnf(c55641,plain,
$false,
inference(resolution,status(thm),[c55542,c482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV190+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 21:05:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 37.41/37.60 # Version: 1.3
% 37.41/37.60 # SZS status Theorem
% 37.41/37.60 # SZS output start CNFRefutation
% See solution above
% 37.41/37.60
% 37.41/37.60 # Initial clauses : 344
% 37.41/37.60 # Processed clauses : 1403
% 37.41/37.60 # Factors computed : 1
% 37.41/37.60 # Resolvents computed: 55158
% 37.41/37.60 # Tautologies deleted: 2
% 37.41/37.60 # Forward subsumed : 1003
% 37.41/37.60 # Backward subsumed : 0
% 37.41/37.60 # -------- CPU Time ---------
% 37.41/37.60 # User time : 37.030 s
% 37.41/37.60 # System time : 0.201 s
% 37.41/37.60 # Total time : 37.231 s
%------------------------------------------------------------------------------