TSTP Solution File: ANA029-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA029-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 Aug 30 17:18:08 EDT 2023
% Result : Unsatisfiable 88.72s 12.77s
% Output : CNFRefutation 88.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 4 unt; 2 nHn; 20 RR)
% Number of literals : 58 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_69,plain,
( ~ class_Orderings_Olinorder(X0)
| c_less(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(c_71,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(c_72,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c_75,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_76,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_77,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_423,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
cnf(c_900,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(c_919,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_2254,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_2343,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(c_41515,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_less(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_41773,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_42387,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_44427,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Olinorder(t_b) ),
inference(instantiation,[status(thm)],[c_900]) ).
cnf(c_48309,plain,
( ~ c_less(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_48329,plain,
( ~ c_lessequals(X0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(X1,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(X1,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_48367,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b) ),
inference(instantiation,[status(thm)],[c_2254]) ).
cnf(c_52093,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_55879,plain,
( ~ c_lessequals(X0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_48329]) ).
cnf(c_61498,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_55879]) ).
cnf(c_65637,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[c_48367]) ).
cnf(c_65638,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_65637,c_61498,c_52093,c_48309,c_44427,c_42387,c_41773,c_41515,c_76,c_75,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA029-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 18:33:33 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 88.72/12.77 % SZS status Started for theBenchmark.p
% 88.72/12.77 % SZS status Unsatisfiable for theBenchmark.p
% 88.72/12.77
% 88.72/12.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 88.72/12.77
% 88.72/12.77 ------ iProver source info
% 88.72/12.77
% 88.72/12.77 git: date: 2023-05-31 18:12:56 +0000
% 88.72/12.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 88.72/12.77 git: non_committed_changes: false
% 88.72/12.77 git: last_make_outside_of_git: false
% 88.72/12.77
% 88.72/12.77 ------ Parsing...successful
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77 ------ Preprocessing...
% 88.72/12.77
% 88.72/12.77 ------ Preprocessing...
% 88.72/12.77
% 88.72/12.77 ------ Preprocessing...
% 88.72/12.77 ------ Proving...
% 88.72/12.77 ------ Problem Properties
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77 clauses 2703
% 88.72/12.77 conjectures 5
% 88.72/12.77 EPR 1070
% 88.72/12.77 Horn 2466
% 88.72/12.77 unary 615
% 88.72/12.77 binary 1488
% 88.72/12.77 lits 5934
% 88.72/12.77 lits eq 1152
% 88.72/12.77 fd_pure 0
% 88.72/12.77 fd_pseudo 0
% 88.72/12.77 fd_cond 109
% 88.72/12.77 fd_pseudo_cond 70
% 88.72/12.77 AC symbols 0
% 88.72/12.77
% 88.72/12.77 ------ Input Options Time Limit: Unbounded
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77 ------
% 88.72/12.77 Current options:
% 88.72/12.77 ------
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77 ------ Proving...
% 88.72/12.77
% 88.72/12.77
% 88.72/12.77 % SZS status Unsatisfiable for theBenchmark.p
% 88.72/12.77
% 88.72/12.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 88.72/12.78
% 88.72/12.78
%------------------------------------------------------------------------------