TSTP Solution File: NUM024-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Thu Aug 31 11:28:22 EDT 2023
% Result : Unsatisfiable 4.05s 1.16s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 43 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
cnf(c_51,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(c_52,plain,
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
cnf(c_53,plain,
equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
cnf(c_54,plain,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
cnf(c_55,negated_conjecture,
~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
cnf(c_57,plain,
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(c_58,plain,
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(c_59,plain,
equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(c_61,plain,
equalish(multiply(X0,n0),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',times_zero) ).
cnf(c_174,plain,
( ~ equalish(n0,successor(X0))
| equalish(successor(X0),n0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_449,plain,
( ~ equalish(add(X0,X1),X2)
| equalish(add(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_503,plain,
( ~ equalish(X0,X1)
| equalish(add(X0,n0),X1) ),
inference(superposition,[status(thm)],[c_59,c_51]) ).
cnf(c_1065,plain,
( ~ equalish(X0,X1)
| equalish(X1,add(X0,n0)) ),
inference(superposition,[status(thm)],[c_503,c_50]) ).
cnf(c_1067,plain,
( ~ equalish(successor(X0),X1)
| less(n0,X1) ),
inference(superposition,[status(thm)],[c_503,c_57]) ).
cnf(c_1068,plain,
( ~ equalish(X0,X1)
| equalish(add(n0,X0),X1) ),
inference(superposition,[status(thm)],[c_503,c_449]) ).
cnf(c_3493,plain,
( ~ equalish(X0,successor(X1))
| less(n0,add(X0,n0)) ),
inference(superposition,[status(thm)],[c_1065,c_1067]) ).
cnf(c_3629,plain,
( ~ equalish(X0,add(X1,X0))
| equalish(n0,X1) ),
inference(superposition,[status(thm)],[c_1068,c_52]) ).
cnf(c_5301,plain,
( ~ less(X0,X1)
| equalish(X1,add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0)) ),
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_5333,plain,
( ~ equalish(n0,X0)
| equalish(multiply(X1,n0),X0) ),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_7459,plain,
( ~ less(X0,X0)
| equalish(n0,successor(predecessor_of_1st_minus_2nd(X0,X0))) ),
inference(superposition,[status(thm)],[c_5301,c_3629]) ).
cnf(c_8470,plain,
( ~ equalish(n0,successor(X0))
| less(n0,add(multiply(X1,n0),n0)) ),
inference(superposition,[status(thm)],[c_5333,c_3493]) ).
cnf(c_8481,plain,
~ equalish(n0,successor(X0)),
inference(global_subsumption_just,[status(thm)],[c_8470,c_55,c_174]) ).
cnf(c_8495,plain,
~ less(X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_7459,c_8481]) ).
cnf(c_8496,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_8495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.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 : Fri Aug 25 12:07:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.05/1.16 % SZS status Started for theBenchmark.p
% 4.05/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.16
% 4.05/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.05/1.16
% 4.05/1.16 ------ iProver source info
% 4.05/1.16
% 4.05/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.05/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.05/1.16 git: non_committed_changes: false
% 4.05/1.16 git: last_make_outside_of_git: false
% 4.05/1.16
% 4.05/1.16 ------ Parsing...successful
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 4.05/1.16
% 4.05/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.05/1.16 ------ Proving...
% 4.05/1.16 ------ Problem Properties
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16 clauses 16
% 4.05/1.16 conjectures 1
% 4.05/1.16 EPR 5
% 4.05/1.16 Horn 16
% 4.05/1.16 unary 8
% 4.05/1.16 binary 6
% 4.05/1.16 lits 26
% 4.05/1.16 lits eq 0
% 4.05/1.16 fd_pure 0
% 4.05/1.16 fd_pseudo 0
% 4.05/1.16 fd_cond 0
% 4.05/1.16 fd_pseudo_cond 0
% 4.05/1.16 AC symbols 0
% 4.05/1.16
% 4.05/1.16 ------ Input Options Time Limit: Unbounded
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16 ------
% 4.05/1.16 Current options:
% 4.05/1.16 ------
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16 ------ Proving...
% 4.05/1.16
% 4.05/1.16
% 4.05/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.16
% 4.05/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.16
% 4.05/1.16
%------------------------------------------------------------------------------