TSTP Solution File: NUM021-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Fri May 3 02:48:07 EDT 2024
% Result : Unsatisfiable 3.43s 1.17s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 5 unt; 4 nHn; 20 RR)
% Number of literals : 42 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(c_52,plain,
less(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_less_than_c) ).
cnf(c_53,plain,
~ less(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_greater_equal_a) ).
cnf(c_54,negated_conjecture,
divides(c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impossible_c_divides_a) ).
cnf(c_56,plain,
( ~ divides(X0,X1)
| equalish(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-2.ax',divides_only_less_or_equal) ).
cnf(c_59,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(c_60,plain,
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(c_61,plain,
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(c_196,plain,
( equalish(c,a)
| less(c,a) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
cnf(c_221,plain,
( equalish(c,a)
| less(c,a) ),
inference(prop_impl_just,[status(thm)],[c_196]) ).
cnf(c_324,plain,
( ~ equalish(add(successor(X0),X1),X2)
| ~ equalish(X2,X3)
| equalish(add(successor(X0),X1),X3) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_325,plain,
( ~ less(b,c)
| equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_387,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c)
| ~ equalish(c,X0)
| equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),X0) ),
inference(instantiation,[status(thm)],[c_324]) ).
cnf(c_460,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c)
| ~ equalish(c,a)
| equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),a) ),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_1227,plain,
( ~ less(X0,c)
| less(X0,a)
| equalish(c,a) ),
inference(superposition,[status(thm)],[c_221,c_59]) ).
cnf(c_2430,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),a)
| less(b,a) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2777,plain,
( less(X0,a)
| ~ less(X0,c) ),
inference(global_subsumption_just,[status(thm)],[c_1227,c_52,c_53,c_325,c_460,c_1227,c_2430]) ).
cnf(c_2778,plain,
( ~ less(X0,c)
| less(X0,a) ),
inference(renaming,[status(thm)],[c_2777]) ).
cnf(c_2784,plain,
less(b,a),
inference(superposition,[status(thm)],[c_52,c_2778]) ).
cnf(c_2785,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2784,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:47:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.43/1.17 % SZS status Started for theBenchmark.p
% 3.43/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.43/1.17
% 3.43/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.43/1.17
% 3.43/1.17 ------ iProver source info
% 3.43/1.17
% 3.43/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.43/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.43/1.17 git: non_committed_changes: false
% 3.43/1.17
% 3.43/1.17 ------ Parsing...successful
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.43/1.17
% 3.43/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.43/1.17 ------ Proving...
% 3.43/1.17 ------ Problem Properties
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17 clauses 16
% 3.43/1.17 conjectures 1
% 3.43/1.17 EPR 7
% 3.43/1.17 Horn 15
% 3.43/1.17 unary 8
% 3.43/1.17 binary 6
% 3.43/1.17 lits 26
% 3.43/1.17 lits eq 0
% 3.43/1.17 fd_pure 0
% 3.43/1.17 fd_pseudo 0
% 3.43/1.17 fd_cond 0
% 3.43/1.17 fd_pseudo_cond 0
% 3.43/1.17 AC symbols 0
% 3.43/1.17
% 3.43/1.17 ------ Schedule dynamic 5 is on
% 3.43/1.17
% 3.43/1.17 ------ no equalities: superposition off
% 3.43/1.17
% 3.43/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17 ------
% 3.43/1.17 Current options:
% 3.43/1.17 ------
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17 ------ Proving...
% 3.43/1.17
% 3.43/1.17
% 3.43/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.43/1.17
% 3.43/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.43/1.17
% 3.43/1.17
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