TSTP Solution File: FLD035-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 22:33:05 EDT 2023
% Result : Unsatisfiable 0.49s 1.18s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 49 ( 12 unt; 7 nHn; 49 RR)
% Number of literals : 120 ( 0 equ; 68 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_52,plain,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c_53,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
cnf(c_54,negated_conjecture,
product(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
cnf(c_55,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
cnf(c_56,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).
cnf(c_62,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_64,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_65,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_73,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_74,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_76,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(c_269,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_283,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,X3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_289,plain,
( ~ product(X0,X1,X2)
| ~ product(multiplicative_identity,X0,X3)
| ~ product(multiplicative_identity,X2,X2)
| product(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_453,plain,
( ~ product(X0,X1,a)
| ~ product(X0,X1,b)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_488,plain,
( ~ product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0)
| ~ product(multiplicative_identity,X0,X1)
| product(X1,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_756,plain,
( ~ defined(X0)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_65,c_66]) ).
cnf(c_856,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_857,plain,
( ~ product(multiplicative_identity,X0,a)
| ~ product(multiplicative_identity,X0,b)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_858,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,a)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,a) ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_1473,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_1811,plain,
( ~ product(multiplicative_identity,b,b)
| product(b,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_2009,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2035,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2102,plain,
( ~ product(c,X0,X1)
| ~ product(u,X0,X2)
| product(a,X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
cnf(c_2103,plain,
( ~ product(c,X0,X1)
| ~ product(u,X0,X2)
| product(b,X1,X2) ),
inference(superposition,[status(thm)],[c_54,c_62]) ).
cnf(c_2276,plain,
( ~ product(X0,multiplicative_identity,X1)
| product(multiplicative_identity,X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_2558,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| ~ defined(c)
| product(a,multiplicative_identity,X0)
| sum(additive_identity,c,additive_identity) ),
inference(superposition,[status(thm)],[c_756,c_2102]) ).
cnf(c_2566,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| product(a,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2558,c_55,c_51]) ).
cnf(c_2753,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| ~ defined(c)
| product(b,multiplicative_identity,X0)
| sum(additive_identity,c,additive_identity) ),
inference(superposition,[status(thm)],[c_756,c_2103]) ).
cnf(c_2761,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| product(b,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2753,c_55,c_51]) ).
cnf(c_8490,plain,
( ~ product(a,multiplicative_identity,X0)
| ~ product(a,multiplicative_identity,a)
| ~ product(multiplicative_identity,a,a)
| product(multiplicative_identity,X0,a) ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_9844,plain,
( ~ product(multiplicative_identity,b,X0)
| ~ product(b,multiplicative_identity,b)
| ~ product(multiplicative_identity,b,b)
| product(X0,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_12262,plain,
( ~ product(b,multiplicative_identity,X0)
| product(multiplicative_identity,b,X0) ),
inference(instantiation,[status(thm)],[c_2276]) ).
cnf(c_12294,plain,
( ~ product(X0,multiplicative_identity,b)
| product(multiplicative_identity,X0,b) ),
inference(instantiation,[status(thm)],[c_2276]) ).
cnf(c_14991,plain,
( ~ defined(X0)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_65,c_66]) ).
cnf(c_15020,plain,
( ~ defined(c)
| defined(multiplicative_inverse(c)) ),
inference(superposition,[status(thm)],[c_74,c_55]) ).
cnf(c_15022,plain,
defined(multiplicative_inverse(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_15020,c_51]) ).
cnf(c_15395,plain,
( ~ product(c,X0,X1)
| ~ product(u,X0,X2)
| product(a,X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
cnf(c_15638,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| ~ defined(c)
| product(a,multiplicative_identity,X0)
| sum(additive_identity,c,additive_identity) ),
inference(superposition,[status(thm)],[c_14991,c_15395]) ).
cnf(c_15646,plain,
( ~ product(u,multiplicative_inverse(c),X0)
| product(a,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15638,c_55,c_51]) ).
cnf(c_15657,plain,
~ product(u,multiplicative_inverse(c),X0),
inference(global_subsumption_just,[status(thm)],[c_15646,c_73,c_50,c_49,c_56,c_856,c_857,c_1473,c_1811,c_2009,c_2035,c_2566,c_2761,c_8490,c_9844,c_12262,c_12294]) ).
cnf(c_15660,plain,
( ~ defined(multiplicative_inverse(c))
| ~ defined(u) ),
inference(superposition,[status(thm)],[c_76,c_15657]) ).
cnf(c_15662,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15660,c_52,c_15022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n011.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 : Sun Aug 27 23:34:55 EDT 2023
% 0.14/0.34 % 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
% 0.49/1.18 % SZS status Started for theBenchmark.p
% 0.49/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.18
% 0.49/1.18 ------ iProver source info
% 0.49/1.18
% 0.49/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.18 git: non_committed_changes: false
% 0.49/1.18 git: last_make_outside_of_git: false
% 0.49/1.18
% 0.49/1.18 ------ Parsing...successful
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.18 ------ Proving...
% 0.49/1.18 ------ Problem Properties
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 clauses 34
% 0.49/1.18 conjectures 4
% 0.49/1.18 EPR 26
% 0.49/1.18 Horn 31
% 0.49/1.18 unary 11
% 0.49/1.18 binary 6
% 0.49/1.18 lits 85
% 0.49/1.18 lits eq 0
% 0.49/1.18 fd_pure 0
% 0.49/1.18 fd_pseudo 0
% 0.49/1.18 fd_cond 0
% 0.49/1.18 fd_pseudo_cond 0
% 0.49/1.18 AC symbols 0
% 0.49/1.18
% 0.49/1.18 ------ Schedule dynamic 5 is on
% 0.49/1.18
% 0.49/1.18 ------ no equalities: superposition off
% 0.49/1.18
% 0.49/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 ------
% 0.49/1.18 Current options:
% 0.49/1.18 ------
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 ------ Proving...
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.18
% 0.49/1.18
%------------------------------------------------------------------------------