TSTP Solution File: FLD049-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD049-3 : 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 22:33:11 EDT 2023
% Result : Unsatisfiable 32.33s 5.24s
% Output : CNFRefutation 32.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 9 unt; 5 nHn; 46 RR)
% Number of literals : 120 ( 0 equ; 72 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 : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_52,plain,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
cnf(c_53,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
cnf(c_54,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
cnf(c_55,negated_conjecture,
product(a,multiplicative_inverse(b),multiply(c,multiplicative_inverse(d))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
cnf(c_56,negated_conjecture,
~ product(a,d,multiply(b,c)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_64,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_72,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
cnf(c_74,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(c_264,plain,
( ~ defined(d)
| sum(additive_identity,d,additive_identity)
| defined(multiplicative_inverse(d)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_265,plain,
( ~ defined(b)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_266,plain,
( ~ defined(d)
| product(multiplicative_inverse(d),d,multiplicative_identity)
| sum(additive_identity,d,additive_identity) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_271,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_273,plain,
( ~ product(X0,X1,multiply(X0,X1))
| product(X1,X0,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_422,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,multiplicative_identity,X0)
| ~ product(X1,X3,multiplicative_identity)
| product(X2,X3,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_430,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_461,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X1,X0,multiply(X0,X1))
| ~ product(X0,X2,X4)
| product(X1,X4,X3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_681,plain,
( ~ product(X0,X1,multiply(X2,X3))
| product(X1,X0,multiply(X2,X3)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_830,plain,
( ~ defined(b)
| ~ defined(c)
| product(b,c,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_1134,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_4097,plain,
( ~ product(X0,multiplicative_inverse(b),X1)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(X0,multiplicative_identity,X0)
| product(X1,b,X0) ),
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_5951,plain,
( ~ product(b,c,multiply(b,c))
| product(c,b,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_5961,plain,
( ~ defined(multiply(b,c))
| product(multiplicative_identity,multiply(b,c),multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_7797,plain,
( ~ product(a,multiplicative_inverse(b),multiply(c,multiplicative_inverse(d)))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(a,multiplicative_identity,a)
| product(multiply(c,multiplicative_inverse(d)),b,a) ),
inference(instantiation,[status(thm)],[c_4097]) ).
cnf(c_7838,plain,
( ~ defined(multiplicative_inverse(d))
| ~ defined(X0)
| product(X0,multiplicative_inverse(d),multiply(X0,multiplicative_inverse(d))) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_9548,plain,
( ~ product(c,multiplicative_inverse(d),multiply(c,multiplicative_inverse(d)))
| product(multiplicative_inverse(d),c,multiply(c,multiplicative_inverse(d))) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_16468,plain,
( ~ product(multiplicative_identity,multiply(b,c),multiply(b,c))
| product(multiply(b,c),multiplicative_identity,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_681]) ).
cnf(c_16472,plain,
( ~ defined(b)
| ~ defined(c)
| defined(multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_28741,plain,
( ~ defined(multiplicative_inverse(d))
| ~ defined(c)
| product(c,multiplicative_inverse(d),multiply(c,multiplicative_inverse(d))) ),
inference(instantiation,[status(thm)],[c_7838]) ).
cnf(c_50580,plain,
( ~ product(X0,X1,multiply(X1,X0))
| ~ product(multiply(X1,X0),X2,a)
| ~ product(X1,X2,X3)
| product(X0,X3,a) ),
inference(instantiation,[status(thm)],[c_461]) ).
cnf(c_56093,plain,
( ~ product(multiplicative_inverse(d),c,multiply(c,multiplicative_inverse(d)))
| ~ product(multiply(c,multiplicative_inverse(d)),b,a)
| ~ product(c,b,X0)
| product(multiplicative_inverse(d),X0,a) ),
inference(instantiation,[status(thm)],[c_50580]) ).
cnf(c_61912,plain,
( ~ product(X0,multiply(X1,X2),X3)
| product(multiply(X1,X2),X0,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_66477,plain,
( ~ product(multiplicative_inverse(d),c,multiply(c,multiplicative_inverse(d)))
| ~ product(multiply(c,multiplicative_inverse(d)),b,a)
| ~ product(c,b,multiply(b,c))
| product(multiplicative_inverse(d),multiply(b,c),a) ),
inference(instantiation,[status(thm)],[c_56093]) ).
cnf(c_118194,plain,
( ~ product(multiplicative_inverse(d),multiply(b,c),a)
| product(multiply(b,c),multiplicative_inverse(d),a) ),
inference(instantiation,[status(thm)],[c_61912]) ).
cnf(c_121768,plain,
( ~ product(X0,X1,multiply(X2,X3))
| ~ product(X0,X4,X5)
| ~ product(X4,X6,X1)
| product(X5,X6,multiply(X2,X3)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_123781,plain,
( ~ product(X0,X1,multiply(b,c))
| ~ product(X0,X2,a)
| ~ product(X2,d,X1)
| product(a,d,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_121768]) ).
cnf(c_133211,plain,
( ~ product(X0,multiplicative_identity,multiply(b,c))
| ~ product(X0,multiplicative_inverse(d),a)
| ~ product(multiplicative_inverse(d),d,multiplicative_identity)
| product(a,d,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_123781]) ).
cnf(c_220498,plain,
( ~ product(multiply(b,c),multiplicative_identity,multiply(b,c))
| ~ product(multiply(b,c),multiplicative_inverse(d),a)
| ~ product(multiplicative_inverse(d),d,multiplicative_identity)
| product(a,d,multiply(b,c)) ),
inference(instantiation,[status(thm)],[c_133211]) ).
cnf(c_220499,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_220498,c_118194,c_66477,c_28741,c_16472,c_16468,c_9548,c_7797,c_5961,c_5951,c_1134,c_830,c_430,c_266,c_265,c_264,c_55,c_56,c_53,c_54,c_49,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD049-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 00:31:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 32.33/5.24 % SZS status Started for theBenchmark.p
% 32.33/5.24 % SZS status Unsatisfiable for theBenchmark.p
% 32.33/5.24
% 32.33/5.24 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.33/5.24
% 32.33/5.24 ------ iProver source info
% 32.33/5.24
% 32.33/5.24 git: date: 2023-05-31 18:12:56 +0000
% 32.33/5.24 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.33/5.24 git: non_committed_changes: false
% 32.33/5.24 git: last_make_outside_of_git: false
% 32.33/5.24
% 32.33/5.24 ------ Parsing...successful
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 32.33/5.24
% 32.33/5.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.33/5.24 ------ Proving...
% 32.33/5.24 ------ Problem Properties
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24 clauses 34
% 32.33/5.24 conjectures 4
% 32.33/5.24 EPR 24
% 32.33/5.24 Horn 31
% 32.33/5.24 unary 11
% 32.33/5.24 binary 6
% 32.33/5.24 lits 85
% 32.33/5.24 lits eq 0
% 32.33/5.24 fd_pure 0
% 32.33/5.24 fd_pseudo 0
% 32.33/5.24 fd_cond 0
% 32.33/5.24 fd_pseudo_cond 0
% 32.33/5.24 AC symbols 0
% 32.33/5.24
% 32.33/5.24 ------ Schedule dynamic 5 is on
% 32.33/5.24
% 32.33/5.24 ------ no equalities: superposition off
% 32.33/5.24
% 32.33/5.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24 ------
% 32.33/5.24 Current options:
% 32.33/5.24 ------
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24 ------ Proving...
% 32.33/5.24
% 32.33/5.24
% 32.33/5.24 % SZS status Unsatisfiable for theBenchmark.p
% 32.33/5.24
% 32.33/5.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.33/5.25
% 32.33/5.25
%------------------------------------------------------------------------------