TSTP Solution File: NUM027-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 11:28:23 EDT 2023
% Result : Unsatisfiable 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 6 unt; 5 nHn; 15 RR)
% Number of literals : 37 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
( ~ equalish(X0,X1)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_preserved_over_times) ).
cnf(c_53,plain,
( ~ equalish(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_and_equal) ).
cnf(c_54,plain,
( equalish(X0,X1)
| less(X0,X1)
| less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numbers_either_less_or_equal) ).
cnf(c_55,plain,
~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_not_less_than_itself) ).
cnf(c_57,plain,
( ~ less(X0,X1)
| less(multiply(X0,X2),multiply(X1,X2))
| equalish(X2,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_lemma) ).
cnf(c_58,plain,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_less_than_a) ).
cnf(c_59,plain,
less(multiply(b,c),multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_c_less_than_a_times_c) ).
cnf(c_60,negated_conjecture,
~ equalish(c,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_0) ).
cnf(c_61,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(c_209,plain,
( ~ equalish(multiply(b,c),multiply(a,c))
| ~ less(multiply(b,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_239,plain,
( ~ less(X0,X1)
| less(multiply(X0,c),multiply(X1,c))
| equalish(c,n0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_242,plain,
( ~ less(multiply(b,c),multiply(a,c))
| ~ less(X0,multiply(b,c))
| less(X0,multiply(a,c)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_277,plain,
( ~ equalish(b,a)
| equalish(multiply(b,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_295,plain,
( ~ less(multiply(b,c),multiply(a,c))
| ~ less(multiply(a,c),multiply(b,c))
| less(multiply(a,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_296,plain,
~ less(multiply(a,c),multiply(a,c)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_468,plain,
( equalish(b,a)
| less(a,b) ),
inference(superposition,[status(thm)],[c_54,c_58]) ).
cnf(c_2854,plain,
( ~ less(a,b)
| less(multiply(a,c),multiply(b,c))
| equalish(c,n0) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_2858,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2854,c_468,c_296,c_295,c_277,c_209,c_59,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Aug 25 12:34:26 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2023-05-31 18:12:56 +0000
% 0.44/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13 git: last_make_outside_of_git: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...successful
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 21
% 0.44/1.13 conjectures 1
% 0.44/1.13 EPR 9
% 0.44/1.13 Horn 19
% 0.44/1.13 unary 10
% 0.44/1.13 binary 7
% 0.44/1.13 lits 36
% 0.44/1.13 lits eq 0
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 0
% 0.44/1.13 fd_pseudo_cond 0
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Schedule dynamic 5 is on
% 0.44/1.13
% 0.44/1.13 ------ no equalities: superposition off
% 0.44/1.13
% 0.44/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 0.44/1.13
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