TSTP Solution File: FLD029-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD029-3 : 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 14.10s 2.71s
% Output : CNFRefutation 14.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 60 ( 18 unt; 7 nHn; 60 RR)
% Number of literals : 143 ( 0 equ; 81 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 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 : 64 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_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,b,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_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_264,negated_conjecture,
product(a,v,b),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_265,negated_conjecture,
product(a,u,b),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_266,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_267,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| defined(multiplicative_inverse(b)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_268,plain,
( ~ defined(b)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_65]) ).
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_288,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
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_404,plain,
( ~ product(multiplicative_identity,u,u)
| product(u,multiplicative_identity,u) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_407,plain,
( ~ product(multiplicative_identity,v,v)
| product(v,multiplicative_identity,v) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_444,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_450,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_454,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_496,plain,
( ~ product(X0,multiplicative_inverse(b),multiply(X0,multiplicative_inverse(b)))
| ~ product(multiply(X0,multiplicative_inverse(b)),b,X1)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(X0,multiplicative_identity,X1) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_1436,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2056,plain,
( ~ defined(X0)
| ~ defined(u)
| product(u,X0,multiply(u,X0)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_2102,plain,
( ~ product(u,multiplicative_inverse(b),multiply(u,multiplicative_inverse(b)))
| ~ product(multiply(u,multiplicative_inverse(b)),b,X0)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(u,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_496]) ).
cnf(c_2461,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_450]) ).
cnf(c_2501,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_454]) ).
cnf(c_3845,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_444]) ).
cnf(c_14931,plain,
product(v,a,b),
inference(superposition,[status(thm)],[c_264,c_66]) ).
cnf(c_14932,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_64,c_66]) ).
cnf(c_14933,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_14958,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(superposition,[status(thm)],[c_74,c_266]) ).
cnf(c_14960,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_14958,c_50]) ).
cnf(c_15337,plain,
( ~ product(b,X0,X1)
| ~ product(u,X0,X2)
| product(a,X2,X1) ),
inference(superposition,[status(thm)],[c_265,c_62]) ).
cnf(c_15338,plain,
( ~ product(b,X0,X1)
| ~ product(v,X0,X2)
| product(a,X2,X1) ),
inference(superposition,[status(thm)],[c_264,c_62]) ).
cnf(c_15578,plain,
( ~ product(u,multiplicative_inverse(b),X0)
| ~ defined(b)
| product(a,X0,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(superposition,[status(thm)],[c_14933,c_15337]) ).
cnf(c_15582,plain,
( ~ product(u,multiplicative_inverse(b),X0)
| product(a,X0,multiplicative_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15578,c_266,c_50]) ).
cnf(c_15597,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(u)
| product(a,multiply(u,multiplicative_inverse(b)),multiplicative_identity) ),
inference(superposition,[status(thm)],[c_76,c_15582]) ).
cnf(c_15600,plain,
product(a,multiply(u,multiplicative_inverse(b)),multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_15597,c_51,c_14960]) ).
cnf(c_15610,plain,
( ~ product(v,multiplicative_inverse(b),X0)
| ~ defined(b)
| product(a,X0,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(superposition,[status(thm)],[c_14933,c_15338]) ).
cnf(c_15614,plain,
( ~ product(v,multiplicative_inverse(b),X0)
| product(a,X0,multiplicative_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15610,c_266,c_50]) ).
cnf(c_15629,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(v)
| product(a,multiply(v,multiplicative_inverse(b)),multiplicative_identity) ),
inference(superposition,[status(thm)],[c_76,c_15614]) ).
cnf(c_15632,plain,
product(a,multiply(v,multiplicative_inverse(b)),multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_15629,c_52,c_14960]) ).
cnf(c_15724,plain,
( ~ product(a,X0,X1)
| ~ product(v,X1,X2)
| product(b,X0,X2) ),
inference(superposition,[status(thm)],[c_14931,c_63]) ).
cnf(c_18572,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(u)
| product(u,multiplicative_inverse(b),multiply(u,multiplicative_inverse(b))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
cnf(c_22862,plain,
( ~ product(v,multiplicative_identity,X0)
| product(b,multiply(u,multiplicative_inverse(b)),X0) ),
inference(superposition,[status(thm)],[c_15600,c_15724]) ).
cnf(c_28219,plain,
( ~ product(v,multiplicative_identity,X0)
| product(b,multiply(v,multiplicative_inverse(b)),X0) ),
inference(superposition,[status(thm)],[c_15632,c_15724]) ).
cnf(c_29443,plain,
( ~ product(v,multiplicative_identity,X0)
| product(multiply(u,multiplicative_inverse(b)),b,X0) ),
inference(superposition,[status(thm)],[c_22862,c_66]) ).
cnf(c_32466,plain,
~ product(v,multiplicative_identity,X0),
inference(global_subsumption_just,[status(thm)],[c_28219,c_73,c_52,c_51,c_50,c_56,c_53,c_267,c_268,c_364,c_367,c_404,c_407,c_1436,c_2102,c_2461,c_2501,c_3845,c_18572,c_29443]) ).
cnf(c_32470,plain,
~ defined(v),
inference(superposition,[status(thm)],[c_14932,c_32466]) ).
cnf(c_32476,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32470,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD029-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 : Thu May 2 22:24:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 14.10/2.71 % SZS status Started for theBenchmark.p
% 14.10/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 14.10/2.71
% 14.10/2.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.10/2.71
% 14.10/2.71 ------ iProver source info
% 14.10/2.71
% 14.10/2.71 git: date: 2024-05-02 19:28:25 +0000
% 14.10/2.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.10/2.71 git: non_committed_changes: false
% 14.10/2.71
% 14.10/2.71 ------ Parsing...successful
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 14.10/2.71
% 14.10/2.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.10/2.71 ------ Proving...
% 14.10/2.71 ------ Problem Properties
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71 clauses 34
% 14.10/2.71 conjectures 4
% 14.10/2.71 EPR 26
% 14.10/2.71 Horn 31
% 14.10/2.71 unary 11
% 14.10/2.71 binary 6
% 14.10/2.71 lits 85
% 14.10/2.71 lits eq 0
% 14.10/2.71 fd_pure 0
% 14.10/2.71 fd_pseudo 0
% 14.10/2.71 fd_cond 0
% 14.10/2.71 fd_pseudo_cond 0
% 14.10/2.71 AC symbols 0
% 14.10/2.71
% 14.10/2.71 ------ Schedule dynamic 5 is on
% 14.10/2.71
% 14.10/2.71 ------ no equalities: superposition off
% 14.10/2.71
% 14.10/2.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71 ------
% 14.10/2.71 Current options:
% 14.10/2.71 ------
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71 ------ Proving...
% 14.10/2.71
% 14.10/2.71
% 14.10/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 14.10/2.71
% 14.10/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.10/2.71
% 14.10/2.71
%------------------------------------------------------------------------------