TSTP Solution File: FLD050-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 22:33:12 EDT 2023
% Result : Unsatisfiable 10.92s 2.21s
% Output : CNFRefutation 10.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 32 ( 12 unt; 4 nHn; 32 RR)
% Number of literals : 74 ( 0 equ; 41 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 : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 32 ( 0 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(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
cnf(c_55,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
cnf(c_56,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_8) ).
cnf(c_57,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9) ).
cnf(c_58,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10) ).
cnf(c_59,negated_conjecture,
product(b,c,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_11) ).
cnf(c_60,negated_conjecture,
~ product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_12) ).
cnf(c_66,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_67,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_68,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_69,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_70,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_277,plain,
( ~ defined(b)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_282,plain,
( ~ product(a,multiplicative_inverse(b),s)
| product(multiplicative_inverse(b),a,s) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_327,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,X0,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(multiplicative_inverse(b),X1,X2) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_480,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_643,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_68,c_70]) ).
cnf(c_810,plain,
( ~ defined(X0)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_69,c_70]) ).
cnf(c_2669,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_identity,c,X0)
| ~ product(b,c,k)
| product(multiplicative_inverse(b),k,X0) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_2854,plain,
( ~ product(a,X0,X1)
| ~ product(d,X2,X0)
| product(k,X2,X1) ),
inference(superposition,[status(thm)],[c_58,c_67]) ).
cnf(c_4342,plain,
( ~ product(d,X0,multiplicative_identity)
| ~ defined(a)
| product(k,X0,a) ),
inference(superposition,[status(thm)],[c_643,c_2854]) ).
cnf(c_4349,plain,
( ~ product(d,X0,multiplicative_identity)
| product(k,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4342,c_49]) ).
cnf(c_7764,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,c,k)
| ~ product(multiplicative_identity,c,c)
| product(multiplicative_inverse(b),k,c) ),
inference(instantiation,[status(thm)],[c_2669]) ).
cnf(c_25296,plain,
( ~ defined(d)
| product(k,multiplicative_inverse(d),a)
| sum(additive_identity,d,additive_identity) ),
inference(superposition,[status(thm)],[c_810,c_4349]) ).
cnf(c_25297,plain,
product(k,multiplicative_inverse(d),a),
inference(forward_subsumption_resolution,[status(thm)],[c_25296,c_56,c_52]) ).
cnf(c_37149,plain,
( ~ product(X0,multiplicative_inverse(d),X1)
| ~ product(X2,X0,c)
| ~ product(X2,X1,s)
| product(c,multiplicative_inverse(d),s) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_38267,plain,
( ~ product(multiplicative_inverse(b),X0,s)
| ~ product(k,multiplicative_inverse(d),X0)
| ~ product(multiplicative_inverse(b),k,c)
| product(c,multiplicative_inverse(d),s) ),
inference(instantiation,[status(thm)],[c_37149]) ).
cnf(c_49662,plain,
( ~ product(multiplicative_inverse(b),a,s)
| ~ product(multiplicative_inverse(b),k,c)
| ~ product(k,multiplicative_inverse(d),a)
| product(c,multiplicative_inverse(d),s) ),
inference(instantiation,[status(thm)],[c_38267]) ).
cnf(c_49663,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49662,c_25297,c_7764,c_480,c_282,c_277,c_60,c_55,c_57,c_59,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:10:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.92/2.21 % SZS status Started for theBenchmark.p
% 10.92/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 10.92/2.21
% 10.92/2.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.92/2.21
% 10.92/2.21 ------ iProver source info
% 10.92/2.21
% 10.92/2.21 git: date: 2023-05-31 18:12:56 +0000
% 10.92/2.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.92/2.21 git: non_committed_changes: false
% 10.92/2.21 git: last_make_outside_of_git: false
% 10.92/2.21
% 10.92/2.21 ------ Parsing...successful
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 10.92/2.21
% 10.92/2.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.92/2.21 ------ Proving...
% 10.92/2.21 ------ Problem Properties
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21 clauses 38
% 10.92/2.21 conjectures 6
% 10.92/2.21 EPR 28
% 10.92/2.21 Horn 35
% 10.92/2.21 unary 15
% 10.92/2.21 binary 6
% 10.92/2.21 lits 89
% 10.92/2.21 lits eq 0
% 10.92/2.21 fd_pure 0
% 10.92/2.21 fd_pseudo 0
% 10.92/2.21 fd_cond 0
% 10.92/2.21 fd_pseudo_cond 0
% 10.92/2.21 AC symbols 0
% 10.92/2.21
% 10.92/2.21 ------ Schedule dynamic 5 is on
% 10.92/2.21
% 10.92/2.21 ------ no equalities: superposition off
% 10.92/2.21
% 10.92/2.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21 ------
% 10.92/2.21 Current options:
% 10.92/2.21 ------
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21 ------ Proving...
% 10.92/2.21
% 10.92/2.21
% 10.92/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 10.92/2.21
% 10.92/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.92/2.22
% 10.92/2.22
%------------------------------------------------------------------------------