TSTP Solution File: ANA035-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA035-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 : Wed May 31 12:01:30 EDT 2023
% Result : Unsatisfiable 60.81s 8.20s
% Output : CNFRefutation 61.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 19 unt; 0 def)
% Number of atoms : 51 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 39 ( 23 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 59 (; 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1364,axiom,
! [T_a,V_c] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| V_c = c_times(V_c,c_1,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2426,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Oab__semigroup__mult(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2431,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Osemigroup__mult(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2781,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Osemigroup__mult(T_a)
| c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2783,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
| c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2785,axiom,
! [T_a,V_a,V_b] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2794,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2795,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4667,plain,
! [T_a] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| ! [V_c] : V_c = c_times(V_c,c_1,T_a) ),
inference(miniscoping,[status(esa)],[f1364]) ).
fof(f4668,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| X1 = c_times(X1,c_1,X0) ),
inference(cnf_transformation,[status(esa)],[f4667]) ).
fof(f5873,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(cnf_transformation,[status(esa)],[f2426]) ).
fof(f5878,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
inference(cnf_transformation,[status(esa)],[f2431]) ).
fof(f6228,plain,
! [T_a] :
( ~ class_OrderedGroup_Osemigroup__mult(T_a)
| ! [V_a,V_b,V_c] : c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f2781]) ).
fof(f6229,plain,
! [X0,X1,X2,X3] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f6228]) ).
fof(f6232,plain,
! [T_a] :
( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
| ! [V_a,V_b,V_c] : c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f2783]) ).
fof(f6233,plain,
! [X0,X1,X2,X3] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f6232]) ).
fof(f6235,plain,
! [T_a] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| ! [V_a,V_b] : c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f2785]) ).
fof(f6236,plain,
! [X0,X1,X2] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f6235]) ).
fof(f6247,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[status(esa)],[f2794]) ).
fof(f6248,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(esa)],[f2795]) ).
fof(f6301,plain,
! [X0] : X0 = c_times(X0,c_1,t_b),
inference(resolution,[status(thm)],[f4668,f6248]) ).
fof(f6761,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[status(thm)],[f6236,f6248]) ).
fof(f9058,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[status(thm)],[f5873,f6248]) ).
fof(f9068,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[status(thm)],[f5878,f6248]) ).
fof(f30720,plain,
! [X0,X1,X2] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(resolution,[status(thm)],[f6229,f9068]) ).
fof(f30788,plain,
! [X0,X1,X2] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(resolution,[status(thm)],[f6233,f9058]) ).
fof(f31489,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
inference(backward_demodulation,[status(thm)],[f30720,f6247]) ).
fof(f31490,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[status(thm)],[f30720,f31489]) ).
fof(f31539,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,c_times(X0,c_1,t_b),t_b),
inference(paramodulation,[status(thm)],[f6301,f30788]) ).
fof(f31540,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(forward_demodulation,[status(thm)],[f6301,f31539]) ).
fof(f31597,plain,
! [X0,X1,X2] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X2,c_times(X0,X1,t_b),t_b),
inference(paramodulation,[status(thm)],[f30720,f31540]) ).
fof(f31805,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[status(thm)],[f31597,f31490]) ).
fof(f31806,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[status(thm)],[f6761,f31805]) ).
fof(f31807,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[status(thm)],[f31540,f31806]) ).
fof(f31808,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f31807]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA035-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:04:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % Drodi V3.5.1
% 60.81/8.20 % Refutation found
% 60.81/8.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.81/8.20 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 61.95/8.36 % Elapsed time: 8.002539 seconds
% 61.95/8.36 % CPU time: 61.798611 seconds
% 61.95/8.36 % Memory used: 647.025 MB
%------------------------------------------------------------------------------