TSTP Solution File: BOO013-3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:08:36 EDT 2024
% Result : Unsatisfiable 3.74s 1.18s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 26 unt; 0 nHn; 20 RR)
% Number of literals : 40 ( 26 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_to_multiplicative_identity1) ).
cnf(c_51,negated_conjecture,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_to_multiplicative_identity2) ).
cnf(c_52,negated_conjecture,
product(x,y,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_additive_identity1) ).
cnf(c_53,negated_conjecture,
product(x,z,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_additive_identity2) ).
cnf(c_54,negated_conjecture,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_inverse_are_equal) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c_59,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_61,plain,
product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(c_66,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
cnf(c_89,plain,
add(x,y) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_90,plain,
add(x,z) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_91,plain,
multiply(x,y) = additive_identity,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_92,plain,
multiply(x,z) = additive_identity,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_97,plain,
( multiply(X0,X1) != X2
| multiply(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_99,plain,
add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_101,plain,
multiply(multiplicative_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_109,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X0,X6) != X3
| multiply(X1,X6) != X4
| multiply(X2,X6) = X5 ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_270,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_97]) ).
cnf(c_280,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_334,negated_conjecture,
y != z,
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_557,plain,
add(multiply(x,X0),multiply(y,X0)) = multiply(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_89,c_280]) ).
cnf(c_558,plain,
add(multiply(x,X0),multiply(z,X0)) = multiply(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_90,c_280]) ).
cnf(c_583,plain,
add(multiply(x,X0),multiply(z,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_558,c_101]) ).
cnf(c_584,plain,
add(multiply(x,X0),multiply(y,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_557,c_101]) ).
cnf(c_753,plain,
add(additive_identity,multiply(z,y)) = y,
inference(superposition,[status(thm)],[c_91,c_583]) ).
cnf(c_782,plain,
multiply(y,z) = y,
inference(demodulation,[status(thm)],[c_753,c_99,c_270]) ).
cnf(c_895,plain,
add(multiply(x,z),y) = z,
inference(superposition,[status(thm)],[c_782,c_584]) ).
cnf(c_898,plain,
add(additive_identity,y) = z,
inference(light_normalisation,[status(thm)],[c_895,c_92]) ).
cnf(c_909,plain,
add(additive_identity,y) != y,
inference(demodulation,[status(thm)],[c_334,c_898]) ).
cnf(c_910,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_909,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:44:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.74/1.18 % SZS status Started for theBenchmark.p
% 3.74/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.18
% 3.74/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.74/1.18
% 3.74/1.18 ------ iProver source info
% 3.74/1.18
% 3.74/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.74/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.74/1.18 git: non_committed_changes: false
% 3.74/1.18
% 3.74/1.18 ------ Parsing...successful
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 ------ Preprocessing... sup_sim: 18 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.74/1.18
% 3.74/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.18
% 3.74/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.74/1.18 ------ Proving...
% 3.74/1.18 ------ Problem Properties
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 clauses 18
% 3.74/1.18 conjectures 1
% 3.74/1.18 EPR 1
% 3.74/1.18 Horn 18
% 3.74/1.18 unary 18
% 3.74/1.18 binary 0
% 3.74/1.18 lits 18
% 3.74/1.18 lits eq 18
% 3.74/1.18 fd_pure 0
% 3.74/1.18 fd_pseudo 0
% 3.74/1.18 fd_cond 0
% 3.74/1.18 fd_pseudo_cond 0
% 3.74/1.18 AC symbols 0
% 3.74/1.18
% 3.74/1.18 ------ Schedule UEQ
% 3.74/1.18
% 3.74/1.18 ------ Option_UEQ Time Limit: 10.
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 ------
% 3.74/1.18 Current options:
% 3.74/1.18 ------
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 ------ Proving...
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.18
% 3.74/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.18
% 3.74/1.18
%------------------------------------------------------------------------------