TSTP Solution File: FLD028-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD028-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Fri May 3 02:15:14 EDT 2024
% Result : Unsatisfiable 3.99s 1.13s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 42 ( 14 unt; 4 nHn; 42 RR)
% Number of literals : 98 ( 0 equ; 57 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 45 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_51,plain,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c_52,plain,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
cnf(c_53,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
cnf(c_54,negated_conjecture,
product(a,u,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
cnf(c_55,negated_conjecture,
product(a,v,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).
cnf(c_56,negated_conjecture,
~ product(multiplicative_identity,u,v),
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_265,negated_conjecture,
product(a,u,b),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_266,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_268,plain,
( ~ defined(a)
| product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_272,plain,
( ~ product(a,v,b)
| product(v,a,b) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_273,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_287,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_305,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(a,multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_322,plain,
( ~ product(a,X0,X1)
| ~ product(b,X0,X2)
| ~ product(v,a,b)
| product(v,X1,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_364,plain,
( ~ defined(u)
| product(multiplicative_identity,u,u) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_367,plain,
( ~ defined(v)
| product(multiplicative_identity,v,v) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_401,plain,
( ~ product(multiplicative_identity,u,u)
| product(u,multiplicative_identity,u) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_404,plain,
( ~ product(multiplicative_identity,v,v)
| product(v,multiplicative_identity,v) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_441,plain,
( ~ product(X0,X1,u)
| ~ product(X0,X1,v)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,u,v) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_447,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,u)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,u) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_451,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,v)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,v) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_588,plain,
product(u,a,b),
inference(superposition,[status(thm)],[c_265,c_66]) ).
cnf(c_590,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_64,c_66]) ).
cnf(c_760,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_1785,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2046,plain,
( ~ product(b,multiplicative_inverse(a),X0)
| ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| ~ product(v,a,b)
| product(v,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_2414,plain,
( ~ product(u,multiplicative_identity,X0)
| ~ product(u,multiplicative_identity,u)
| ~ product(multiplicative_identity,u,u)
| product(multiplicative_identity,X0,u) ),
inference(instantiation,[status(thm)],[c_447]) ).
cnf(c_2430,plain,
( ~ product(v,multiplicative_identity,X0)
| ~ product(v,multiplicative_identity,v)
| ~ product(multiplicative_identity,v,v)
| product(multiplicative_identity,X0,v) ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_3515,plain,
( ~ product(a,X0,X1)
| ~ product(u,X1,X2)
| product(b,X0,X2) ),
inference(superposition,[status(thm)],[c_588,c_63]) ).
cnf(c_3645,plain,
( ~ product(multiplicative_identity,X0,u)
| ~ product(multiplicative_identity,X0,v)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| product(multiplicative_identity,u,v) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_7468,plain,
( ~ product(u,multiplicative_identity,X0)
| ~ defined(a)
| product(b,multiplicative_inverse(a),X0)
| sum(additive_identity,a,additive_identity) ),
inference(superposition,[status(thm)],[c_760,c_3515]) ).
cnf(c_7488,plain,
( ~ product(u,multiplicative_identity,X0)
| product(b,multiplicative_inverse(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7468,c_266,c_49]) ).
cnf(c_7962,plain,
~ product(u,multiplicative_identity,X0),
inference(global_subsumption_just,[status(thm)],[c_7488,c_73,c_52,c_51,c_49,c_55,c_56,c_53,c_268,c_272,c_305,c_364,c_367,c_401,c_404,c_1785,c_2046,c_2414,c_2430,c_3645,c_7488]) ).
cnf(c_7966,plain,
~ defined(u),
inference(superposition,[status(thm)],[c_590,c_7962]) ).
cnf(c_7968,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7966,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD028-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.12 % Command : run_iprover %s %d THM
% 0.10/0.33 % Computer : n007.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Thu May 2 22:24:20 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.99/1.13 % SZS status Started for theBenchmark.p
% 3.99/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.13
% 3.99/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.99/1.13
% 3.99/1.13 ------ iProver source info
% 3.99/1.13
% 3.99/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.99/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.99/1.13 git: non_committed_changes: false
% 3.99/1.13
% 3.99/1.13 ------ Parsing...successful
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.99/1.13
% 3.99/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.99/1.13 ------ Proving...
% 3.99/1.13 ------ Problem Properties
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13 clauses 34
% 3.99/1.13 conjectures 4
% 3.99/1.13 EPR 26
% 3.99/1.13 Horn 31
% 3.99/1.13 unary 11
% 3.99/1.13 binary 6
% 3.99/1.13 lits 85
% 3.99/1.13 lits eq 0
% 3.99/1.13 fd_pure 0
% 3.99/1.13 fd_pseudo 0
% 3.99/1.13 fd_cond 0
% 3.99/1.13 fd_pseudo_cond 0
% 3.99/1.13 AC symbols 0
% 3.99/1.13
% 3.99/1.13 ------ Schedule dynamic 5 is on
% 3.99/1.13
% 3.99/1.13 ------ no equalities: superposition off
% 3.99/1.13
% 3.99/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13 ------
% 3.99/1.13 Current options:
% 3.99/1.13 ------
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13 ------ Proving...
% 3.99/1.13
% 3.99/1.13
% 3.99/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.13
% 3.99/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.13
% 3.99/1.14
%------------------------------------------------------------------------------