%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 May 9 17:44:24 EDT 2024
% Result : Theorem 44.39s 44.58s
% Output : Refutation 44.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 213 ( 151 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 202 ( 26 ~; 18 |; 152 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(c480,plain,
! [X] : ~ gt(X,X),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c481,plain,
! [X176] : ~ gt(X176,X176),
inference(variable_rename,[status(thm)],[c480]) ).
cnf(c482,plain,
~ gt(X184,X184),
inference(split_conjunct,[status(thm)],[c481]) ).
fof(leq_succ_gt,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(c137,plain,
! [X,Y] :
( ~ leq(succ(X),Y)
| gt(Y,X) ),
inference(fof_nnf,[status(thm)],[leq_succ_gt]) ).
fof(c138,plain,
! [X44,X45] :
( ~ leq(succ(X44),X45)
| gt(X45,X44) ),
inference(variable_rename,[status(thm)],[c137]) ).
cnf(c139,plain,
( ~ leq(succ(X321),X320)
| gt(X320,X321) ),
inference(split_conjunct,[status(thm)],[c138]) ).
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 )
=> ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,tptp_minus_1) )
=> a_select3(z_defuse,A,B) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
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(z_defuse,A,B) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).
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(z_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(z_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(z_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) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(c475,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(fof_nnf,[status(thm)],[transitivity_leq]) ).
fof(c476,plain,
! [X172,X173,X174] :
( ~ leq(X172,X173)
| ~ leq(X173,X174)
| leq(X172,X174) ),
inference(variable_rename,[status(thm)],[c475]) ).
cnf(c477,plain,
( ~ leq(X2275,X2276)
| ~ leq(X2276,X2274)
| leq(X2275,X2274) ),
inference(split_conjunct,[status(thm)],[c476]) ).
cnf(c31306,plain,
( ~ leq(X2414,skolem0002)
| leq(X2414,tptp_minus_1) ),
inference(resolution,[status(thm)],[c477,c100]) ).
cnf(c98,negated_conjecture,
leq(n0,skolem0002),
inference(split_conjunct,[status(thm)],[c69]) ).
cnf(c31482,plain,
( ~ leq(X2869,n0)
| leq(X2869,skolem0002) ),
inference(resolution,[status(thm)],[c477,c98]) ).
cnf(symmetry,axiom,
( X186 != X185
| X185 = X186 ),
theory(equality) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
cnf(c172,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c524,plain,
n0 = succ(tptp_minus_1),
inference(resolution,[status(thm)],[c172,symmetry]) ).
cnf(reflexivity,axiom,
X182 = X182,
theory(equality) ).
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c478,plain,
! [X175] : leq(X175,X175),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c479,plain,
leq(X183,X183),
inference(split_conjunct,[status(thm)],[c478]) ).
cnf(c19,axiom,
( X288 != X285
| X287 != X286
| ~ leq(X288,X287)
| leq(X285,X286) ),
theory(equality) ).
cnf(c718,plain,
( X2926 != X2925
| X2926 != X2924
| leq(X2925,X2924) ),
inference(resolution,[status(thm)],[c19,c479]) ).
cnf(c56069,plain,
( X2930 != X2929
| leq(X2929,X2930) ),
inference(resolution,[status(thm)],[c718,reflexivity]) ).
cnf(c56105,plain,
leq(succ(tptp_minus_1),n0),
inference(resolution,[status(thm)],[c56069,c524]) ).
cnf(c56584,plain,
leq(succ(tptp_minus_1),skolem0002),
inference(resolution,[status(thm)],[c56105,c31482]) ).
cnf(c58404,plain,
leq(succ(tptp_minus_1),tptp_minus_1),
inference(resolution,[status(thm)],[c56584,c31306]) ).
cnf(c58668,plain,
gt(tptp_minus_1,tptp_minus_1),
inference(resolution,[status(thm)],[c58404,c139]) ).
cnf(c58784,plain,
$false,
inference(resolution,[status(thm)],[c58668,c482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 05:51:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 44.39/44.58 % Version: 1.5
% 44.39/44.58 % SZS status Theorem
% 44.39/44.58 % SZS output start CNFRefutation
% See solution above
% 44.39/44.58
% 44.39/44.58 % Initial clauses : 344
% 44.39/44.58 % Processed clauses : 1459
% 44.39/44.58 % Factors computed : 445
% 44.39/44.58 % Resolvents computed: 57852
% 44.39/44.58 % Tautologies deleted: 5
% 44.39/44.58 % Forward subsumed : 1137
% 44.39/44.58 % Backward subsumed : 0
% 44.39/44.58 % -------- CPU Time ---------
% 44.39/44.58 % User time : 44.015 s
% 44.39/44.58 % System time : 0.208 s
% 44.39/44.58 % Total time : 44.223 s
%------------------------------------------------------------------------------